diff --git "a/data/dm_maths/full_data/1672_11255.jsonl" "b/data/dm_maths/full_data/1672_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/1672_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Collect the terms in -2*g**2 + 1057*g + 2 + 2*g**3 - 2.\nAnswer: 2*g**3 - 2*g**2 + 1057*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zb when two letters picked without replacement from {x: 2, e: 2, b: 1, z: 1, d: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 16*s - 19. Give a(15).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -5*x + 3*x - 15, -4*x = -5*l - 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -120032 (base 4) to base 6\nAnswer: -11102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m = m - 198 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b**4 + 4*b**4 - 5*b**4)*(7 - 2 + 0 - b).\nAnswer: -2*b**5 + 10*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0142 rounded to two dps?\nAnswer: 1.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -71 - -49. Let h = 40 + r. Suppose 2*b = g - 35, 2*g - 11*b + 16*b = 70. Calculate the remainder when g is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 29653 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 636 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*x**2 + 17*x**3 + 8*x**2 + x**3 + 0*x**2 in the form o*x**2 + a*x**3 + h + p*x and give a.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2682886724 to the nearest integer?\nAnswer: 1390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1834 and 574.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 3*m - 24. What is y(0)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**4 + 3*s**3 + 2*s**2 + 0*s**2 - 3*s**3 - 1537 - 2*s + 1544 in the form a*s**3 + x*s**2 + p*s + o*s**4 + f and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5031*o - 27301 - 435551 = 0 for o.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/76776480 and -49\/19194120?\nAnswer: 76776480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 361 - 339. Suppose -2*u + 1573 = -r*t + 27*t, -5*t + 2352 = 3*u. Is 41 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1846 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*l - 111*l - 883*l**2 - 824*l**2 + 1713*l**2 - 113*l + 342*l.\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/4 - 1539*j\/4 - 7795.\nAnswer: (j - 1559)*(j + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4574007860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 6 = -p + 5*u, 947*p - 20 = 945*p - 2*u for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -95495100 to the nearest 100000.\nAnswer: -95500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = t - 45, -53*t = 766520*j - 766516*j - 185 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**7*t*t*t**2\/t)\/(t**5\/t**(-2\/5)))**7 assuming t is positive.\nAnswer: t**(161\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 473284686?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) -3574 (c) 10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1501*z**3 - 21*z**3 + 1426*z**3 + 427*z**3.\nAnswer: 3333*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13 + -14?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 524*q = 539*q - 97 - 98 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -474 divided by 27.\nAnswer: -158\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129688 divided by 1.\nAnswer: 129688","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 y when four letters picked without replacement from dyoyynnynnyyo.\nAnswer: 8\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 6*b + 8*y = 21, -b - 12 = -5*y for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 22*l**2 - 79*l - 242. Let u be a(-8). Calculate the greatest common divisor of 4 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of m**6\/90 - m**5\/10 - 4*m**4\/3 + 30*m. Let w(x) be the third derivative of u(x). List the prime factors of w(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 202 = 2*q + 207, -3*q - 4*k - 16 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 9:05 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -394*z**2 - 33*z**2 - 66*z**2.\nAnswer: -493*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102281 + -102277. Factor -25\/7*m**3 - 44\/7*m + 8\/7 + 54\/7*m**2 + 4\/7*m**t.\nAnswer: (m - 2)**3*(4*m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6072 divided by -264\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19294207?\nAnswer: 617, 31271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50.9 - -53. Let g = -2 + s. Let m = 7.7 + -8. What is the nearest to g in m, 1\/6, 3\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/21, 3\/5, 0.2, -8?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**2 + 0 + 0)*(0*w - 2*w**2 + 0*w) + 63 - 31 - 34 - 148*w**4 - 4*w**4 + 3*w**4 + 3*w**4.\nAnswer: -138*w**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 805 is divided by 30.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c - 8*c + 6*c + 0*c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 + (-30)\/12)\/((-3)\/(-8)). Suppose u*y = -10*y + 81746. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 817 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h - 23*h = 2*h + 420 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -419 (base 13) to base 9\nAnswer: -855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14fbe (base 16) in base 11?\nAnswer: 59637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8, 38, 88, 158?\n\"Answer: 10*u**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 50, 219, 510, 923, 1458, 2115, 2894?\n\"Answer: 61*j**2 - 14*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - -1)*(-182)\/(-21). Let r = 32 - 5. Let k = r + w. Solve m - 2 = k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**4)\/v)**(-1\/44) assuming v is positive.\nAnswer: v**(1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*l**5 + 715*l**4 - 172760*l**3 + 7636940*l**2 - 47055360*l - 321647040 = 0. What is l?\nAnswer: -284, -4, 13, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (0 + sqrt(2178))**2.\nAnswer: 2181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 9\/(-36)*4*(2 - -1607). Is 19 a factor of 1 + (a\/(-2) - (-28)\/56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.345 or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10173136 is divided by 5696.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 a factor of 21582569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (355\/90)\/(1\/(-5281)). Let k = 20837 + a. Find the common denominator of k and 41\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -46950, -93873, -140754, -187575, -234318?\n\"Answer: 3*b**3 + 3*b**2 - 46953*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*t + 330 = -45*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/(-2))\/(5397\/(-1542))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-18)*2*-6. Let j be g\/((-9)\/(108\/(-40))). Let v = -2.3 - -2.3. Is v at most j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*3*sqrt(60) - 2*sqrt(7260))\/(sqrt(108) + (sqrt(108) + (2*sqrt(108) - sqrt(108)) + sqrt(108) - sqrt(108)) + (sqrt(1200) - sqrt(1200)*-3)).\nAnswer: -34*sqrt(5)\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 207 - 52. Does 14 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 22 = 3*r + 3*u, u + 1 = 0. Let j = 3 - r. Let k = 0 - 0.1. Which is bigger: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 1845013?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -356 - -67689.\nAnswer: 67333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + c = 16, 7*b - 3*b + 3*c = -16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 2\/13, 33, -5, 0.029, -0.07?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3*v**3\/2 + 63417*v**2\/2 + 3813624*v - 24023574 = 0.\nAnswer: -21018, -127, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 633\/1477*28\/30. Sort -752\/7, d, -5, 2 in increasing order.\nAnswer: -752\/7, -5, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7.374 + -0.026. Let c = -46.4 - y. Let h = c + 34. What is the smallest value in h, -2, 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 37*a**2 + 6. Let y(g) = 119*g. Let w(t) = 99*t. Let d(p) = -6*w(p) + 5*y(p). Give f(d(m)).\nAnswer: 74*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -11240000 rounded to the nearest one hundred thousand?\nAnswer: -11200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 73 in 2\/17, -1, 2\/9, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 340\/15 - ((-12)\/9 - -1). Let z(b) = 11*b**2 - j*b**2 + 9*b**2. Let p(l) = -l. What is z(p(n))?\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 7:20 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15007388 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3189, 0.9, -0.2 in descending order.\nAnswer: 0.9, -0.2, -3189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -23 + 27 + 23 + 6*i**4 wrt i.\nAnswer: 24*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffim when four letters picked without replacement from mbiff.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q - 1. Let z be g(1). Suppose 0 = -3*w + 5*r - z, 9 = 3*r - 0. Suppose 2*k - w*k + 22 = 0. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three sixteenths of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -3*c - 32, -331 = -217*t + 225*t - c for t.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5119*h**5 - 21063*h.\nAnswer: -102380*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 4*t**2 - 3. Let v(i) = -i**2 - 10*i - 32. Let n be v(-12). Let x = n - -59. Calculate g(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 1 + 3*n + 0.\nAnswer: 3*n + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 + 24 = 4*d. Let s = d - -60. Does 24 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19116\/(-486) + 16\/(-24)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.08 - 0.42. Which is the second smallest value? (a) -2 (b) 0.4 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose 4*i + 4*q - 40 = 0, -68 = -4*i + 4*q - 20. Let m(l) = -l**3 + 11*l**2. Let c be m(i). Solve c = d + 5*n + 15, g*d + d - 27 = 3*n for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6640542 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 5*u - 230 = 0, 2*u = -3*g + 547 + 91. What are the prime factors of g?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -275219*z + 275401*z - 12558 = 0 for z.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*8\/(-3)*(-1737)\/386. What is the nearest to -4 in 0.5, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2. Let v be (4 - 767\/195) + 1\/(-3). Is t at most v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c + 17. Let w be u(11). Is (-178)\/(-9) + w\/27 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 26*g**2 + 2*g. Let p(h) = 84*h**2 + 7*h + 1. What is 13*k(l) - 4*p(l)?\nAnswer: 2*l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of -2*h**7\/3 + 2*h**6\/3 + 9*h**5\/5 - 5*h**4\/3 - 4*h**3\/3 - 7*h. Find l, given that q(l) = 0.\nAnswer: -1, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5736 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09156 - -709774.7.\nAnswer: 709774.79156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(2178)*-3)\/((sqrt(99) + (5*sqrt(99)*1 - sqrt(99)))\/sqrt(11)).\nAnswer: 132*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15620\/(-20306)*(-195)\/275?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11628 by 118.\nAnswer: -5814\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*-1*sqrt(325) - 2*(2*sqrt(325) + sqrt(325)))*-6)**2.\nAnswer: 46800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6556736419 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 298071 and 387?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98*n**2\/15 - 6711034*n\/15 - 27392 = 0. What is n?\nAnswer: -3\/49, 68480","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.966036?\nAnswer: -0.3864144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 4*c + 18, 1 = 2*q - 5*c - 13. Suppose -139 = -q*m - 5*r, 133 = -0*m + 2*m - r. Let g = m - 45. List the prime factors of g.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 + 10*q - q - 8*q + 20*q**4 - 77*q**4 - 5*q**2 as z + l*q + a*q**3 + c*q**2 + p*q**4 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -11*w - 5. Let b(z) = 16*z + 7. Let j(d) = -5*b(d) - 7*u(d). Let x(c) be the second derivative of -c**3\/3 - 7*c. What is x(j(p))?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -3*g + 105, 0 = 3*s + 4*g - 7*g - 87. What is the greatest common divisor of 48 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 25134049 and 10319.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -87 + 10 - (-185 - -78)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4349, 5913, 7475, 9035, 10593?\nAnswer: 12149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4480 + 44723\/10. Let h = 15\/2 + s. Is -1 smaller than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 148 in 1\/5, -0.1, 466, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 90292 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -241.3518 + 241.34069619. Let o = 16.5 - 16.5111. Let m = a - o. What is m rounded to seven dps?\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 212 and 390651764?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 5 = 5*s, -4*s + 8 = 4*h - 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754 = -11*r + 38*r + 31*r for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 8:26 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6270481177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - 69*j**2 - 102*j - 46. Let n be f(-33). Suppose -59*m = -n*m - 168. What is the lowest common multiple of 91 and m?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46 + -12 + (14 - 4 - (8 + -3)) + 11.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1023 a factor of 416361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5*a + 41 = 0, -24*v - 270*a + 266*a = 34 + 78 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -1 + 3 - 4 + 1 + i. Suppose -t - 19 + 24 = -n, 0 = 2*t - 3*n - 8. Suppose 2*k + o = 4*k - 12, -k = -o - t. Calculate j(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 24165612\nAnswer: -1\/12082806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 251 divide 297435?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 321 + -1049. Is f != -728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3*q**2 + 20*q - 7. What is u(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*j + 5 = 35*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/7*f**3 + 18\/7 + 30\/7*f + 2*f**2 = 0. Calculate f.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**3\/3 - 2650*x**2\/3 + 442*x.\nAnswer: -2*x*(x + 663)*(2*x - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 311196 and 933588?\nAnswer: 933588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s - 4. Suppose 5 = -2*t - 3*x + 1, 0 = t - x + 12. Let z(v) = 2*v**3 + 16*v**2 - v - 12. Let c be z(t). Let b(g) = -g. Determine c*b(r) - n(r).\nAnswer: r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emq when three letters picked without replacement from {p: 2, q: 1, v: 1, h: 1, m: 1, e: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 11*c - 691. Determine p(62).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/4 of a meter in millimeters?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 11. Suppose -3*t - 13 = h, 0 = -4*o + 2*t + 10. Solve o = 2*b - q, -2*q - 16 = -2*b + 3*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 0*u - 4 + 0 - 17*u + 12. Let x(a) = -6*a + 3. Let p = -11 + 7. Let d be -1 + 17 - 12\/(168\/70). What is d*x(y) + p*f(y)?\nAnswer: 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 1019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -256 or -276?\nAnswer: -276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7222 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*m**4 - 867*m**3 + 7848*m**2 - 13812*m + 2976 = 0.\nAnswer: 1\/4, 2, 8, 62","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s - 20. Let l be n(7). Suppose -4*p - 36 = -l*p. What is the highest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 26416.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 3 - (20 + (-13 - 22))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41409.4 take away -94350?\nAnswer: 135759.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4317?\nAnswer: 3, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of g**4\/6 + 18425*g. Let l(w) be the third derivative of 34*w**5\/15 - w**2. What is l(m(k))?\nAnswer: 544*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49696848 a multiple of 3417?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7837.\nAnswer: 17, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 39\/28 + 3\/(-27 + 6). Suppose d - 5 = -5*b + 6*d, b - 5*d + 3 = 0. Which is smaller: b or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 3*a - 15. Let n be c(6). Suppose -2*z - 10 = -5*w - 4*z, -n*w = -2*z + 10. Let r = -6 + 8. What is the nearest to 2 in -4, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -441310*f + 0*f**2 + 441310*f + 4*f**2 - f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98\/112*(-8)\/(-14).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 + -39.084934\nAnswer: -38.994934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6*g = 0. Suppose g = -h - 3*h + 100. Suppose 0 = -14*b - 14*b + 280. What is the greatest common divisor of b and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1325a (base 14) to base 10\nAnswer: -47120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-960029)\/(-160006) - 6)*585908\/(-18). Let g = 2\/9351 + v. Find the common denominator of 91\/24 and g.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 9*w**2 - 10*w + 7. Let g be i(10). Suppose g*q - 4 = 9*q. What are the prime factors of q*(-2)\/(-16) + 1506\/8?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*f**4 - 18*f**4 - 6741 - 1115*f + 250*f + 254*f wrt f.\nAnswer: 8*f**3 - 611","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 18 - h + 0 - 17. Let f be (-1 - 4) + -1 + 2. Determine b(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**7\/630 + 37*w**6\/360 - 109*w**5\/90 + 28*w**4\/9 + 80*w**3\/3 + 3*w**2 - 254. Find l, given that f(l) = 0.\nAnswer: -1, 4, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111821*i + 1245*i**3 - 1 - 111821*i)*(-4*i + 3*i - i).\nAnswer: -2490*i**4 + 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-20))**(-8)*(k\/k**(-2\/123))\/(k*k**(-25)) assuming k is positive.\nAnswer: k**(21773\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 5:47 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 18*d = -18*d + 11439. Solve -8*h - d = -295 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30.11 - -30. Put -0.2, -1\/7, n in decreasing order.\nAnswer: n, -1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20\/(-15)*(-6)\/(-4))\/(-1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l**4 + 604 - 23*l + 23*l + 136*l**3 - 602 + l**2 as t*l**4 + w*l**3 + u*l**2 + o + i*l and give w.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/((-42)\/16))\/((-10)\/35). Let s = -1348 + 15534. Suppose p*i - 3*o = -5*o + s, 4*i = o + 14189. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 41*l**4\/6 - 2*l**3\/3 + 1947*l**2\/2 + 2708*l. Differentiate x(k) with respect to k.\nAnswer: 164*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.98 - -0.02. Which is smaller: 0.3 or y?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -p**5\/20 + 11*p**4\/12 - 3*p**3\/2 + 11*p**2\/2 + 2*p. List the prime factors of i(10).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 359165 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-4)*2*-23*(-6)\/(-36).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 231\/(-49) + 8 - 3\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 - 4*l**2 + 5*l - 4. Suppose 0 = -4*s + u - 17, 4 = s - 0*u - 3*u. Let d be r(s). What is the tens digit of (d\/(-6))\/(6\/99)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17638 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*d**2*x**3 + 182*d**2 + 43*d*x**3 + d*x**2 wrt x.\nAnswer: -36*d**2 + 258*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1*(sqrt(612)*-3 - sqrt(612)))**2 + (-2 + sqrt(17) + 1 - sqrt(17)) + sqrt(2448)*1.\nAnswer: 12*sqrt(17) + 29375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 222024542677 and 13.\nAnswer: 222024542690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/113345592 and 63\/80.\nAnswer: 1133455920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - j - 4*j)*(-3*j - j + 2*j) + j**2 - 3*j**2 + 3*j**2 - 18*j + 18*j + j**2 + (-2*j - 3*j + 6*j)*(3*j + j - 6*j) + 62*j**2 + 72*j**2 - 78*j**2.\nAnswer: 52*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24828 by 3.\nAnswer: 8276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**6\/p)\/p)\/p)**(1\/14))**2 assuming p is positive.\nAnswer: p**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8926 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(304) + ((sqrt(304) + 1)*-3 - sqrt(304)) - sqrt(304) - sqrt(304) - (-4 + sqrt(304)*1 + sqrt(304))).\nAnswer: -28*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3690679 to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -8*p - 2*p + p + 5*p. Let s be z(-1). Suppose 6*c**3 - 5*c + s*c**5 - 7*c**5 + 2*c = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 189777?\nAnswer: 379554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2\/9 + 212*r\/9 + 194.\nAnswer: 2*(r + 9)*(r + 97)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 u when three letters picked without replacement from uttttuutut.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*x + 0*x = 0, -2*c = 4*x + 10. Differentiate 2 - 3*n**2 + c - 7 with respect to n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/sqrt(343) + (sqrt(12) - sqrt(3)) + 3 - (5 + sqrt(243) + (sqrt(243) - -5*sqrt(243)*2)))**2.\nAnswer: 2992*sqrt(3)\/7 + 1678708\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 - -56. Suppose -2*c = -4*c + d. Does 16 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 801120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13756 to the power of 1\/2, to the nearest integer?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 3 h when four letters picked without replacement from {z: 2, h: 13, f: 3, j: 1}.\nAnswer: 143\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.56*0.4.\nAnswer: 5.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36 + 30. Does 7 divide (-2394)\/(-27)*(-9)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -37. Let a = 11.8 - o. Let k = a + -1. What is the nearest to 0 in k, 0.5, 4\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 531 in 1\/4, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -723 - -780. Suppose -4*w + 104 = -3*b, 5*w - 2*w - c = -3*b. Solve 5*y = 2*h + w, y - 2*h - 5 = 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((803\/(-88) - -9)*4)\/(16\/416).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136*v - 201*v - 190*v)*(0*v + 2*v + v).\nAnswer: -765*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -1 + (-21 - -13). Let h(l) = 5*l + 37. Let d be h(s). What is the units digit of (243\/d - 1)*(6 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 785, -32, 7 in increasing order.\nAnswer: -32, 7, 785","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 1\/13, -0.2, -0.5 in ascending order.\nAnswer: -3, -0.5, -0.2, 1\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527016808 to the power of 1\/3, to the nearest integer?\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 60 = 12. Let p(v) = v**2 + 3*v - 1. Let r be p(-4). Solve -r*h + 2*h = 2*g + 3, 4*h - 4*g = -s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o + 19. Let c be n(-4). Suppose -c*j - 2*u + 2 = 0, -11 = j - 5*j - u. Solve -j*b + 26 = -3*p + 2, -5*p = b + 17 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r + 19 = -z, -1 = 4*z + r. Let y be (-3 - z - -1)\/(-1). Suppose 2*s = -y*s + 530. Does 29 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one-hundred ninths of a day?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(75) - sqrt(75)*4) + -4*sqrt(75)*-3 + -1)**2*-5.\nAnswer: -30395 + 900*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 3:53 AM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 43*l + 1620. What is the units digit of d(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 174\/(-36) + 3 + 2.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27661129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 726095552.\nAnswer: 2, 7, 13, 124673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-67)\/(-335))\/(1\/70).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 1262\/2661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1124869.\nAnswer: 1124869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of -u**3\/3 - 3*u**2 - 7*u + 4. Determine k(5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395403 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + n - 7*n - 29 + 3*n - 3*n.\nAnswer: -2*n - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, k: 16}. What is prob of sequence kk?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10553 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: Solve -5*i = -z - 74, -3*i + 4*z + 86 = 45 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = 4*r + 54. Which is the nearest to -1? (a) 1 (b) 0 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37.17 + 41.17. Let v = -6 - -3. What is the closest to 5\/2 in v, 3, s?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 540 and 8145?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*l**4 - l**4 - 3*l**4 - l**4 + 3*l**4 - 4*l**4 + 5*l**3 + l**4 - 5*l**3 + 0 + 2*l**4 + 0 + (-3*l**2 + 3*l**2 + l**4)*(4 + 1 - 3) - 4*l**4 + 3*l - 3*l.\nAnswer: -2*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 511221685 to the nearest 10000.\nAnswer: 511220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 - -29. What is the greatest common factor of 10 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2299) - sqrt(2299)*-1)*-6 - (sqrt(2299) - (-1*sqrt(2299) + 4))) + (sqrt(2299)*-1 + 3 - ((sqrt(2299) - (0 + sqrt(2299)))*-2 + sqrt(2299))))**2.\nAnswer: -2464*sqrt(19) + 588593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 16 = -7*m. Let i(w) = w**3 + 2*w**2 - 6. Let j(q) = q. Let k(g) = -i(g) + 5*j(g). List the prime factors of k(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c**(-4)*c)\/((c*c**(-4)\/c*c)\/c))**(-16))**(2\/23))**19 assuming c is positive.\nAnswer: c**(-608\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2524065 (base 7) to base 15.\nAnswer: -666d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -781, -545, -157, 383, 1075, 1919, 2915?\nAnswer: 4063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -79.9 + 9.1. What is f rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -274999*a**4\/24 + 2*a**3\/3 - a**2. Let v be h(-4). Suppose -c - v = -0*c. What is c rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 129 + -8. What is the remainder when t is divided by 42?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8, 21, 52, 107, 192?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1443*p - 8007 = 13990 + 19850 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 67\/4 of a litre?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*x + 119*x + 80 = 0. Solve -7 = 3*z + f, 5*z + x = -5*f - 1 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1753 - 26592 = -5*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -534, -5 in ascending order.\nAnswer: -534, -5, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**2 - x + 238. Let v be i(0). Suppose -243*n + v*n = -3415. What is the tens digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.063 + 0.163. Let u be ((-1)\/(-6))\/1*8. Let q = 45\/2 - 23. Which is the nearest to g? (a) 0 (b) u (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9213*n**3*o*v**4 + 3*n**3*o*v - 693*n**3 - 74*n*o*v**4 - n*o*v**2 + o*v**2 + 3*o*v + 22*v**2 wrt v.\nAnswer: -221112*n**3*o*v - 1776*n*o*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 1\/2 (c) -1\/3 (d) 2 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2. Let w(t) = -100099*t. What is w(x(j))?\nAnswer: 300297*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2703977 or 2703974?\nAnswer: 2703977","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*f - 3 + 7*f + 3*f - 2*f + (2*f + 3*f - 6*f)*(-1 - 2 + 1) + 675 + 5*f + 652 - 1291 in the form r*f + g and give g.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85.74 - -83. Let z = -2.8 - k. Which is the nearest to 2\/7? (a) 0.5 (b) -5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*a**3 - 568*a + 276*a + 292*a.\nAnswer: -13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*i**5 + 3026*i**2 + 1215*i + 66 wrt i.\nAnswer: -100*i**3 + 6052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*v - 3*v**2 + 2*v**2 + 32*v - 3 as q + c*v + x*v**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (178 + 1199 - 2466 + x**2)*(-6*x + 3*x - x).\nAnswer: -4*x**3 + 4356*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 575155 not equal to -1.07?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28796907668 + -1121927522820797\/38960. Let h = y - -2\/2435. Calculate the common denominator of h and -17\/72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4*s = 1, -2 = 29*h - 33*h + 5*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 329 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31176380, -62352760, -93529138, -124705514, -155881888, -187058260, -218234630?\n\"Answer: d**2 - 31176383*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -193\/4. Which is the nearest to 0? (a) w (b) 3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(540))\/sqrt(3).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**4 - 195*j**3 + j**2 + 192*j**3 + 0*j**2 to t*j**2 + i + u*j**3 + q*j + r*j**4 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3294 = 4824. Is 33 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1621*a + 1624*a + 15 = 0, 4*u = 3*a + 35 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*u**2 - 3*u**2 + u**2 + (5 - 1 - 3)*(u**2 + 0*u**2 - 2*u**2) + (3 - 5 + 0)*(2*u**2 + 2*u**2 - 2*u**2).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2316 - 1191. What are the prime factors of w?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*o**2 - 180549387*o + 180549387*o.\nAnswer: 16*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (127951 + (3 - 0))\/(46\/299) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 10824.14 hours?\nAnswer: 38966904000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 803*t - 796*t = -63 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 73*r - 1532. Let a be v(21). Suppose 5*k - 180 = 3*n + 72, -5*n = 2*k + 420. Let x = n - -760\/9. Are x and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -692 = -63*q - 125 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2790.52 and -0.17.\nAnswer: 474.3884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 2*v + 5 = 0, -4*v + 7*v = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 11, z: 5}. What is prob of sequence xz?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -701.1 + 701.10003203. Round w to six decimal places.\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 311460 and 95?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.1 - 7.3. Which is the fourth biggest value? (a) -0.4 (b) 4\/5 (c) x (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/5 (b) 0 (c) -1.2 (d) -0.2 (e) 0.1186\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 43 = -c, -16 = -w - 5*c + 11. What is the highest common factor of w and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {v: 1, b: 4, u: 8, c: 7}?\nAnswer: 7\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4600?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/2 (b) -0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-3) - (-2)\/3. Suppose 13*o - 35*y = 16*o + 369, y + 171 = 3*o. Sort 3, -3, o, h in ascending order.\nAnswer: -3, h, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-1\/28)\/m*m*((m*m**0*m)\/m)\/m*(m\/m**(5\/4)*m)\/m**(-16) assuming m is positive.\nAnswer: m**(117\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/4)\/z*z)**(-36)\/(z\/(z**(-15)\/z)*z**(5\/6)) assuming z is positive.\nAnswer: z**(-269\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365 is divided by 496.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 15 = -5*u + 3*c, 4*u - 3*c + 12 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*n**2 - 75 + 75.\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 338580956 to the nearest integer?\nAnswer: 18401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3620172747 to the power of 1\/2, to the nearest integer?\nAnswer: 60168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 10 = 3*t. Let m(g) = 5*g - 55. Let y be m(13). Solve s = -2*j - s - 12, t*j = 5*s - y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4773.6135s?\nAnswer: 1.32600375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -145, -288, -431?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 4*w + 32, 3*w + 7 = -2*u + 25. Suppose 5*c - 37 = -u. Suppose -c*s = -16 - 19. Solve -1 + s = -3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 9332 + 1408 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**2 + 4*d + 7. Let r be n(5). Let x be (-2)\/5*(-2 + 27). Does 14 divide (4\/x)\/(r\/(-70))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 725?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 0.00491.\nAnswer: -0.000491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from gggfffpfgf?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 526, 522, 520, 520, 522, 526?\n\"Answer: p**2 - 7*p + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -1\/3, -5, 7\/51 in ascending order.\nAnswer: -5, -1\/3, -0.01, 7\/51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5436 bigger than 5437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -1\/3 (c) -9 (d) 2\/6235 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110010000111111100011 (base 2) to base 5.\nAnswer: -410024332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.436 + -2. Let l = -206.385 - -207. Let g = l - c. What is g rounded to two decimal places?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-246)\/78 - ((-32)\/52)\/4. Put -2, -4, k, -17 in descending order.\nAnswer: -2, k, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(4\/9)\/d**(1\/2)*d**6\/d*d**(-8))**22 assuming d is positive.\nAnswer: d**(-605\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/13? (a) 3\/4 (b) -0.04 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 5:33 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 - i**2 - 2*i + 2. Let r be c(2). Let n(s) = 3 + 9*s + 4*s**r + 18 - 4*s + 2*s. What is the hundreds digit of n(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - g + 57 = 0, 4*g = z + 3 - 36. Let a = z - 23. Which is bigger: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - 3. Let z be ((-3)\/6)\/(3\/d). Factor -z + i**2 - 3*i + 3 + i - 1.\nAnswer: (i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 8*v**2 + 2*v + 19. Let y be p(-8). What is the highest common divisor of y and 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(-14) + (-8)\/14*-1144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/21 + 4*u**3\/21 + 8*u**2\/21 - 16*u\/21 = 0. Calculate u.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.1782*-1\nAnswer: -0.1782","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12211233131 (base 4) to base 15.\nAnswer: -241c88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 114\/(-4) - 303\/202. Let u(q) = q**2 + 2*q - 1. Let k be u(-2). Does k = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.023 + 0.442. Let c = d + -0.019. Suppose -2*x - 2*x = -44. What is the second biggest value in x, 2\/7, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 e, and 1 h when four letters picked without replacement from aaahcgfhhhecae?\nAnswer: 48\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d + 3462 - 11472 = 0. Is d a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-5) - (-4 + -1). Let j be (26\/z)\/(3\/6). Suppose -16*c = -j*c - 342. Is c a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 24*s - 135. Calculate j(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -110, -189, -268, -347, -426?\nAnswer: -505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yna when three letters picked without replacement from {y: 5, a: 3, n: 5, j: 4, b: 1}.\nAnswer: 25\/1632","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9*w + 303346 = 0, -5*w = -4*d + 157880 + 145474. What is the ten thousands digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4 + 17\/((-272)\/240). Let m(z) = z**3 + 0*z**2 - 4 + 7*z**2 + 3*z**2 - 12*z. Calculate m(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -173 = -8*h - 189 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-10)\/(400\/24) - 2356\/(-10)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57873152?\nAnswer: 2, 23, 9829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60641?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 4. Suppose -4*p = -u + 66, k*p - 3*p - 38 = 5*u. Does -21 = p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 57 + -52. Suppose 3*o + 0*y + k = -4*y, -5*o + 3*y + 11 = 0. Solve -o = -7*x + 6*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -346697470 by -7.\nAnswer: 49528210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 25 = 0, -3*g - 5*c + 13 = -6. Let q be 4\/6 + g\/3. Let a(u) = 20*u**2 + 18. Let l(k) = 7*k**2 + 6. Let d(o) = -6*a(o) + 17*l(o). Calculate d(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -60*q + 307. Give p(6).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {j: 9, y: 5, i: 1, d: 1}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 6 + 0*t - 3 - t + 5. Let u be s(6). Suppose 0*b = u*b - 38. Is 19 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 5*u**2 + u + 4. Let k(f) = f**2 + 1. Let j(p) = -11*k(p) + 2*v(p). Determine j(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 2, 1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-100)\/(-350) - (-1 + 35733\/(-7)). Suppose 3*j + 552 = 2*i - 1999, -2*j = -4*i + c. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 115?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 51, 299, 645, 1137, 1823?\n\"Answer: 8*u**3 + u**2 + 189*u - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 5 - 3*f - 5 + 5*f. Let l(y) be the first derivative of -149 + 3*y + 279 + 6*y**2 - 3*y. Calculate l(h(k)).\nAnswer: 24*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1159?\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20 + 44 + -20 - -21) + -11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjrerzjejrje. What is prob of picking 1 z, 1 r, and 1 j?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 9 - 2*h + 11 + 9 - 24.\nAnswer: -2*h + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 84200305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 798961 is divided by 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.04 - 0.14. Let r = -240 + 955\/4. Let n = -149.9 + 150.2. What is the nearest to p in 4\/5, r, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*c + 4*a, 5*c - 7*a = -2*a + 30. Suppose 0*w - 3 = -c*w. Let k be w\/1 + -1 + 16. Calculate the greatest common factor of k and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.11 - 0.18. Let n = o - -0.06876. Round n to four decimal places.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 15) + (4 - (-2 + 2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/(b**(-2\/11)\/b))*b)**(-6))**45 assuming b is positive.\nAnswer: b**(540\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 4)*(-7*r**2 - 11*r**2 + 4*r**2) + 63*r**2 - 5 + 31*r**2 - 11*r**2 + 3.\nAnswer: 41*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 5*p**4\/4 - p**2 + 6. Find the second derivative of d(r) wrt r.\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 151176173 to the nearest integer?\nAnswer: 533","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -18 + ((-1478940)\/(-42390) - 16*1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 18, -2, 1 in descending order.\nAnswer: 18, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = i + 1241, 3*d - 1545 = -2*d - 5*i. Round d to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 20*k - 38. Suppose -k*j - 6 = -0, 3*j = -4*i + 1551. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -23*u**2 + 181*u + 10. What is o(8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13404 - -13408. Solve -2*y + s*j + 191 = 173, 7 = 3*y - j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 26*n + 18. What is q(-27)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1680 = 164*h + 4*h for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 10:32 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1292 (base 11) in base 15?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -3\/19, -2\/17, 88\/5, -1, -5, 0.5?\nAnswer: 88\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/544544 and 41\/116.\nAnswer: 15791776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 113350 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-3 + 44\/2). Which is the biggest value? (a) -0.05 (b) w (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4544 = 1703*x - 1687*x. What is the highest common divisor of 710 and x?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 176*k + 3174. Give s(-18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77087536708 + -8?\nAnswer: 77087536700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -99162414 divided by -33054138.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.98 - 1.9. Let g = c + -0.15. Round g to two decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 i when three letters picked without replacement from {s: 8, i: 5, q: 2, w: 1, v: 3}?\nAnswer: 80\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -35*l + 27*l. Let x(r) = -r**2 - 3*r - 4. Let p be x(-3). Which is bigger: p or l?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 145926985?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 7546844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2621 - 33?\nAnswer: 2577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 648 divide 44296529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 7:35 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.6 - 1. Let c = -9.209 + 9.209. What is the third smallest value in -4, 5, c, v?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*v - 173 = 387. Solve -2*q - v = -5*p, -p - 12*q - 10 = -8*q for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-10) + 1326\/15. Let q be (-4)\/22 - 688\/p. Is (q - 2)\/(-1 + -1) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/8 of a microgram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3081.\nAnswer: 3, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 9:39 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 768*n + 27709 = 3310*n + 93801 for n.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 8*u + 303. Give k(-42).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) 0.5 (c) 2 (d) -3 (e) -0.01 (f) -104754\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -15*u + 47*u + 45*u - 539 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1708033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -93418, -186323, -279220, -372109, -464990, -557863, -650728?\nAnswer: -743585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**3 + 3*r**2 + 3*r + 3. Let y be u(-2). Suppose -2*q + 3 = -y. Let v = 230 - 230. Solve -2*o - 3*h + 23 = v, 0*h = -q*o + 3*h - 7 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 17 - 33.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 184775 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*c = -34*c + 55. Calculate the least common multiple of 6 and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 8:50 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 2\/7 (c) -3 (d) -0.8 (e) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -4 - 2*q**2 - q**3 - 5*q + 0*q + q + 0*q**2. Let t be y(-2). Solve 0 = -0*m + 4*m - t*l, -m = -3*l + 2 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(4\/(-8)*1). Let m be (q + -18)*5*11. What is the common denominator of m\/28*4\/(-80)*2 and 101\/4?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3702854699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)\/o**(-3\/4))\/(o*o*o**30*o**(-2\/13)\/o) assuming o is positive.\nAnswer: o**(-1877\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3558 and -22.\nAnswer: -3580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -234*f*n - 282190*f - 28552*n + 3 wrt n?\nAnswer: -234*f - 28552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - -8. Suppose 4*k - c = 0, 5*a + 3*k - 2*k = 133. What are the prime factors of a?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 8*b**2 - 11*b - 14. Let y be m(-9). Solve 5*s = -y*p + 2, -p + 2*p + 4*s - 6 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -682 - -400. Let m = -294 - k. Which is the nearest to -1\/3? (a) -1\/3 (b) m (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/(-2)*10\/30?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c**4 - 36*c**2 - 27301*c**3 + 27301*c**3 - 1 to v*c**3 + l + p*c**4 + b*c + y*c**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**2 + 0*w**2 + 6*w**2. What are the prime factors of z(6)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 980\/(-70) - (-138)\/10. Which is the fourth smallest value? (a) 20 (b) 2 (c) -31 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-36) + 13130\/(-1170).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (5 + (8 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -3, -5, 7, 3.\nAnswer: -80, -5, -3, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -121222 (base 3) to base 7\nAnswer: -1223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/((-2)\/((-2240)\/(-12))). What is l rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*b + 2201, -b + 3*o + 454 = -80. Let a = 2882 - b. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11)\/(-5) + -1)\/((-8)\/(-20))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-104)\/(-6))\/(18\/81). Let n = w + -42. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 279 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -250 or -249?\nAnswer: -250","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = 3*a, 9 = -v + 3*a - 2*a. Let g = 2843.08 - 2843. What is the nearest to -2 in v, g, 2\/13, 9?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 - 343 = -2*u. Is u a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -17*p + 1. Suppose s = 0, -s = 4*h - 3 - 1. Give j(h).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 5*j - 936 = 0, -16*s = -20*s + 5*j + 1962. Is 481 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*m - 20*m - 160. Is m a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 9. Suppose -p + 0 = 4*j. Let h be j\/2 + 4 + 0. Solve 0 = -q + 3*a - h, 0*q = 4*q - a - 10 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -32. Let v(g) = g**2 - 12*g + 24. Let s be v(b). Solve s*q = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -m**8\/5040 - m**7\/840 - m**6\/360 - m**5\/360 + m**3\/3 - m**2. Let r(b) be the first derivative of x(b). Factor r(d).\nAnswer: -d*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 4, -2 in ascending order.\nAnswer: -15, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*b, -5*w + 133 = -7*b + 5*b. Let q be 2 + (4 - (-2 + -1)). What is the highest common divisor of q and w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1004*f - 73936 + 7259 = -1895*f for f.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/150*-50*(-2)\/10.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**3 + 16*h**2 - 3884*h + 62148. Calculate z(16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -v**4\/2 - 3*v**3\/2 + 21*v**2 - 50*v + 36 = 0.\nAnswer: -9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 921.4295 centuries to months.\nAnswer: 1105715.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9940 divided by -140?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 + 1. Suppose -75 = -4*i - 351. Let x = i - -141. What is the remainder when x is divided by f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34754 + -173195.\nAnswer: -138441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 12*o**2 - 18*o - 298. Determine l(-13).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 12:36 AM?\nAnswer: 4:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 46\/(-12)*(-27)\/12 and 51\/53?\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -172 + 171 + 11 + -4 + -19?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, q: 5, j: 12}. What is prob of picking 1 t and 2 q?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/2612 and -29\/13060?\nAnswer: 13060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7, 32, 81, 160, 275, 432, 637?\n\"Answer: i**3 + 6*i**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4 + 2 + 13*b - 4 - 6*b. Let h(c) = 6*c + 1. Let m(j) = 3*g(j) - 4*h(j). Let t be m(-4). Calculate the greatest common divisor of 28 and t.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(6\/13)*w*w*w**(-7\/4)\/w*w*w*(w*(w\/(w*w*w**(-1\/12)))\/w*w)\/w**(-28) assuming w is positive.\nAnswer: w**(1162\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -5, -4.6, -78.5, 66\/17, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + -45 - -5) + (14 - -13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15)\/(-6) - (52\/260)\/((-2)\/(-10))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrhs when four letters picked without replacement from sjhjrjjjrhhrjhhshcj?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20 and -314.4006.\nAnswer: -6288.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (163\/2)\/(55\/4510).\nAnswer: 41, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10246852 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374*n = -389*n + 40500. Is n a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 1 + 6 - 11*r**3.\nAnswer: -11*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01139245 rounded to three decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(4 - 5) - -3. Suppose -k + c = -q*c - 8, -2*c = -3*k + 10. Suppose 3*y - k*y - 30 = -3*b, -4*y + b = -94. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 15) to base 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 2802282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aax when three letters picked without replacement from {a: 3, x: 2, t: 7, e: 5}.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.4 (b) 3 (c) 0 (d) 0.4 (e) -8\/33 (f) -1.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6759986 is divided by 1126661?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, m: 1, c: 1}. Give prob of sequence mc.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 651*g*w**2 + 123*w**2 - 5*w wrt g.\nAnswer: 651*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 53 - 369\/7. Suppose -2*v = 5*x - 11, 2*x + 4*v + v = 17. What is the nearest to x in h, 3, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1022*n + 351. Let i(q) = -2892*q - 1054. Let x(w) = 6*i(w) + 17*p(w). Calculate x(16).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 114*f**2 - 2072*f + 267240. Calculate a(116).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 125\/(-50) + (-28)\/(-4) - 3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = -54320 + 54377 for s.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -985594*r**2 + 985594*r**2 + 7 - 23*r**3.\nAnswer: -23*r**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 39 + 0*u**2 - 2*u - 8 - 4 - 15 - 4*u**2 - 9. Let w be -1*(-1*4)\/2. Let q(r) = r**2 + 1. What is w*q(f) - l(f)?\nAnswer: 6*f**2 + 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, f: 8}. What is prob of sequence zzff?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/15300 and 53\/102?\nAnswer: 15300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19228 - -19223. Let d = -19\/12 + 47\/60. Let u = -0.9 - 0.1. Which is the third smallest value? (a) d (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1*(sqrt(288)*-1)**2 - (-3*2*sqrt(288))**2)*-4.\nAnswer: -120960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 5*s**2 + 8*s. Let c be f(-7). Let r be ((-32)\/10)\/(14\/(-105)). Let d = c - r. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -13*a + 6. Sort -4, 4, 3, a in increasing order.\nAnswer: -4, a, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 50306550 and 60367860?\nAnswer: 301839300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 5)*(5 + 6 - 2)*(-k + 4*k + 41*k)*(4*k - 5*k + 0*k).\nAnswer: -1584*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 314\/245957 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-22 + 3 - (-11 - (-28 - -30))) - -17?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 - (-10 + 4)) + 4. What is the least common multiple of 61*4 - ((1 - c) + 5) and 4?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 115.8 - 115.77. Sort 1\/5, m, 7, -3.\nAnswer: -3, m, 1\/5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 395645 is divided by 39538.\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1895 minus 168470?\nAnswer: -170365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*i**2*s + 602*i*s**2 + 183*i*s + 2585939*s**2 wrt i.\nAnswer: 6*i*s + 602*s**2 + 183*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 276.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 943, 1916, 2891, 3862, 4823, 5768, 6691, 7586?\nAnswer: 8447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 8*w**2 + 12*w + 9. Let t be d(-6). Let c(s) = -t*s**2 - 4*s - 1 + 15*s**2 - s + s**3. What are the prime factors of c(-6)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -129*i - 250. Calculate the least common multiple of f(-2) and 1771.\nAnswer: 14168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 145 - 113a?\nAnswer: -ee5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -146.1 + 146.09999191. Round r to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oqqqqooqoq. Give prob of picking 2 o.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -31, -3, 1 in decreasing order.\nAnswer: 1, -3, -22, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -103*u + 101*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/52)\/((-1)\/(-2))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15710305 and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 5:54 PM?\nAnswer: 4:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2 - 107*c - 312*c**3 + 5*c**2 - 2*c**2 - 2 - 179*c**3 + 19*c**3 wrt c?\nAnswer: -2832*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fd when two letters picked without replacement from {f: 15, d: 3}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11)\/33 - (-79)\/219. Are -1 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -2) + 23 + (61 - 70).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4204 divided by -323.\nAnswer: 4204\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 141 + -141. Let y = -1 - -0.7. What is the nearest to h in 1, -3\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 916840.\nAnswer: 2, 5, 22921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**2 + 2*o - 1. Let s(b) = -14*b**2 + 5*b - 3. Let m(x) = -4*s(x) + 11*w(x). Find d such that m(d) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 12 = -9*o. Solve 2*z - 12 = -o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 1013355?\nAnswer: 1013356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*g**3*r**3 - 44*g**3 + 6*g**2*r**3 + 13*g**2*r**2 wrt g.\nAnswer: 18*r**3 - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -866, -1684, -2504, -3326, -4150?\nAnswer: -4976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, -0.834, -0.2?\nAnswer: -0.834","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5234, -10414, -15602, -20798, -26002?\nAnswer: -31214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2 + 110373*i - 220750.\nAnswer: (i - 2)*(i + 110375)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -44 + 41. Let y(j) = -j - 5 + 1 - 1. Let f be y(-4). Which is the second smallest value? (a) n (b) f (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + j - 70 = 4*j, -32*j + 72 = -a + 7*j - 40*j for a.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*r**6*t + 42*r**3*t - 9*r**2*t - 3*r*t + 2*r wrt r?\nAnswer: -480*r**3*t + 252*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z + 810. Let v(i) = -37*i - 10128. Let r(o) = -25*b(o) - 2*v(o). Suppose -4 = -0*d - d. Give r(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-1 - 5) - (-8 - (1 - 1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-32)\/(-72)*6\/36.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -3, -0.2, 0.06, -1.17, 125?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {z: 4, a: 1, e: 2, r: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 817*m**2 - 4 - m**3 + m - 812*m**2 + 0*m**3. Determine j(4).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2 - 3*n + 2. Let j be 1\/(-1) + (-8)\/(-8). Suppose -2*q - 13 + 19 = j. Is g(q) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 9*m**2 + 21471*m - 64424. What is a(3)?\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/287064 and -26\/7680291?\nAnswer: 1658942856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/14*((4 - 4) + 2)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*o**3 - 27*o**2*q - o**2 - 352*o*q - q wrt o?\nAnswer: 96*o - 54*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 3*n - 6 - 7, -4*i + 5*n = -15 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/568 and -75\/8.\nAnswer: 568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -78 + -10 + -1 + 51.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (206\/(-5665))\/((-476)\/307615).\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5\/2*2*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11.91 + 10.8. Let q = 0.4 + 0. Let w = z + q. What is w rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64.2 times -0.1\nAnswer: 6.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86 (base 16) to base 6.\nAnswer: -342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a decade in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 842, 1405, 1968, 2531, 3094?\n\"Answer: 563*j + 279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, a: 2, d: 4}. What is prob of picking 1 a and 1 l?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/11)\/((-23 + -1)\/72)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -877*w**8\/336 + 3887*w**4\/24 + 4447*w**2. What is the second derivative of x(u) wrt u?\nAnswer: -17540*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 193 + -193.000102. Round p to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.319 + -0.081. Which is the fourth smallest value? (a) -1\/5 (b) -1\/3 (c) q (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 8420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f. Let z be t(-1). Let w be (-3)\/z - 33\/(-9). Suppose -4 - 1 = -5*j. Is j bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 419, 1176, 2613, 5072, 8895?\nAnswer: 14424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 45783707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 529516?\nAnswer: 2, 13, 17, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1149 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 51 + 206 = -32*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 2)*(2 + -1). Suppose -4*s - 20 = q, 4*r - 5*s = 1 + 64. Let t = r - 7. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18413 is divided by 198.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 624 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*p = -20. Let i be (-210)\/(-55) + p\/22. Solve -j = 2*l - 7, l - i - 4 = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-3)*-38*171\/4332?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 165 + -111. What is the remainder when b + 1 - (-8 - -5) is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 2. Let o be z(-2). Let h = 49.7 + -50. Which is the nearest to -3? (a) 2\/15 (b) h (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -w**4 + 183*w**3 - 3228*w**2 + 18560*w - 31488 = 0.\nAnswer: 3, 8, 164","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 + (5 - -10) + -6 - 0) + -8?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-720)\/960)\/((-49)\/24 + 2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2749\/2450 or 2?\nAnswer: 2749\/2450","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13558 + -13527. Solve 0 = j*y - 92*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/14)\/(4\/14). Let d = 18 + n. What is the remainder when 98 is divided by d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10\/(-45) + 19048\/18 + -10 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80284704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -54*w + 1. Let u = 289 + -269. Calculate the remainder when n(-1) is divided by ((-3 - -4)\/1)\/(-1) + u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - q**2 + 5*q**2)*(4 - 2*q**3 - 4) - q**5 - 2*q**5 + 10*q**5.\nAnswer: 3*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20646 + 20645.91. What is the nearest to l in 6, -5, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -2, 5, -3, -902308\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yq when two letters picked without replacement from {s: 2, y: 1, q: 2, o: 2, t: 8}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**2 - 8*l**3 + 2 + 0 + 369*l - 367*l to j*l**2 + z + w*l**3 + s*l and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -51*p. Let t(l) = -10*l. Let g(c) = -4*r(c) + 21*t(c). Let h(u) be the first derivative of 0*u + 2\/3*u**3 - 82 + 0*u**2. Determine g(h(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1322623 - -0.06.\nAnswer: 1322623.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - (-40 - -42 - (3 + (-3 - -4))).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 - 142 = -5*t. Let n = 50 - t. Find the third derivative of -n*u**3 - 6*u**2 - 221 + 221 wrt u.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -44, -59, -90, -143, -224, -339?\nAnswer: -494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -4342425?\nAnswer: -4342420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 650538?\nAnswer: 650538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bjoo. What is prob of picking 2 o?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 2. Put -1, 2, d in increasing order.\nAnswer: d, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 8*d - 6. Let j(f) = -f + 1. Let c(o) = -g(o) + 4*j(o). Is c(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*(-3*2*sqrt(288) + 0) + 1)*1 + -2)*4)**2.\nAnswer: 11520*sqrt(2) + 4147216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*n = 83*n - 4*y - 498, 3*n + 3*y + 735 = 0. Which is smaller: -483\/2 or n?\nAnswer: -483\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -337 plus -0.466298?\nAnswer: -337.466298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10074 + 18646 + 10986 = 254*q for q.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12807 is divided by 4151.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 + 4*g**2 + 3*g + 2. Let c be u(-4). Let q be 2\/(-8) - c\/8. Suppose 0 = -3*n + 5*n - 4. Is q != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3317112 and 3240?\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.154, -2, 5, 1742, 2, 3 in descending order.\nAnswer: 1742, 5, 3, 2, -0.154, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 24 = -3*v. Suppose 0 = v*k - k + f - 50, -5*f = k + 14. Calculate the remainder when 21 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 19886?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*d = 23 - 143 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 3\/4 (b) -4\/5 (c) 1\/4 (d) -3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 240529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of 0*f**3 + 1\/5*f**5 - 1\/2*f**4 + 6*f + 0*f**2 + 0. Find the third derivative of b(r) wrt r.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135*u**6 - u**4 - 522*u**2 wrt u?\nAnswer: 16200*u**3 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-9)\/(n*n*n*n**(-3)\/n))\/((n*n*n\/n**(-2\/13))\/n)**(-6\/19))**(-6\/17) assuming n is positive.\nAnswer: n**(10848\/4199)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is 223430000 rounded to the nearest 1000000?\nAnswer: 223000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-174*o**2 - 358*o**2 + 15*o**2)*((0*o - o - o)*(2 - 5 + 2) + 2*o - 5 + 5 - 5*o + 4*o + 0*o) to z*o**2 + l*o**3 + q*o + j and give l.\nAnswer: -1551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 35003 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**4 + 183874*z**3\/19 - 1246828*z**2\/19 + 831056*z\/19 + 231936\/19 = 0 for z.\nAnswer: -4\/19, 1, 6, 4832","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/7*(-98)\/28. Suppose s = h - 1. What is the tens digit of ((-3)\/(-2))\/(h\/26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114\/(-7)*11921\/5109.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1435738, -1435735, -1435732, -1435729, -1435726?\n\"Answer: 3*q - 1435741","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -25. Which is bigger: y or 11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the second derivative of 5\/12*l**4 + 0*l**2 - 6*l + 0*l**3 + 0. Let t(j) = -2*j**2 - 2 + 7 - 5. What is t(h(a))?\nAnswer: -50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63358 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + c + 4*c + 36 = -59, -g - 24*c - 339 = 26 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/4 + 9012287*b + 81221316970369.\nAnswer: (b + 18024574)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*g - 178*q + 175*q, 0 = -5*g + 2*q + 32 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - (24\/18 + -1)\/(-1)?\nAnswer: -23\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 12:59 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**2\/4 - 10401*i\/4 + 2398176 = 0.\nAnswer: -4224, 757","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2641101?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13.67 + 13.97. Suppose -5*j + 24 = 4. Let t be 1\/j + 14\/8. Put u, -1\/4, t in decreasing order.\nAnswer: t, u, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate o*w + 457*o - 140*w wrt o.\nAnswer: w + 457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-44)\/33)\/((-2)\/(-6)))\/(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 20 = -6*f + f, -u + f = 2. Which is the third smallest value? (a) -13 (b) -3 (c) u (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4 + 0)\/(-4)*4. Solve u*q = 3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -45*g**3 + g**2 + 1862*g.\nAnswer: -270*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 5\/2, -4, -0.3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 8:56 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q. Let k be s(1). Suppose -u = u - k. Solve -4 + u = 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4784, -38307, -129298, -306491, -598620, -1034419, -1642622?\nAnswer: -2451963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 - 4*w + 1. Suppose -t = -201 - 416. Let y = t + -608. Let j(q) = 4*q**2 - 9*q + 3. Calculate y*c(u) - 4*j(u).\nAnswer: 2*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*d, -6*h + 7*h = -2*d + 24. Calculate the smallest common multiple of 44 and h.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, i: 2, l: 5, s: 4}. Give prob of sequence lf.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 7. Let d(k) = -2*k + 48. Let l be d(y). Calculate the greatest common factor of l and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 4 (b) -0.197 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -374, -748, -1120, -1490?\n\"Answer: u**2 - 377*u + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rysnyvrnrnrnnrr. Give prob of sequence nv.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 2*s - 49 = 0. Suppose 5*t - s = -3*f, f + 3*f - 77 = 5*t. Let d be (1\/(-3))\/(f\/108). Let c(z) = -z**3 + 2*z**2 - z - 2. Calculate c(d).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*h - 39*h = 27. Suppose 0*c + 111 = 3*c - 3*x, 0 = c + 5*x - 25. Calculate the remainder when c is divided by h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1044, -2599, -5190, -8817, -13480, -19179?\n\"Answer: -518*o**2 - o - 525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/391 + -944\/31671. What is the biggest value in 0.1, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 59*l**2 - 3*l + 2. Calculate r(1).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 2*w**3 + 576*w**2 + 6634*w + 119. What is o(-12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 419.9117 + 0.0883. Let j = c + -419.9759. Let i = 0.03 - j. Round i to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3 + 13 = 0. Let j(y) = 6*y + 1 + 4*y - 7*y. Does 15 divide j(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -19499\/4645 - 2\/929. Let v = -856\/19599 + -5\/141. Let o = v + 8095\/417. Calculate the common denominator of o and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -d**2*m**2 + 7121*d**2*m + 6*d*m**2 + 1617*d*m - 4752*m**2 wrt m.\nAnswer: -2*d**2 + 12*d - 9504","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.59567 + 8056500\nAnswer: 8056500.59567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 24042611 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3*1.6\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 890854.7 millennia to centuries.\nAnswer: 8908547","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from qqqqqqccq.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -52\/12501 and 34\/190293.\nAnswer: 1712637","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 333257377 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 191238?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*s = 1510. What is s rounded to the nearest ten?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 6:23 AM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -3*q + 42, -3*q + 60 = 2*t - t. Let j = 6 - 4. What is the remainder when (4 - 2)*(q - j) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**4\/24 + 5*c**3\/6 + c**2 + 67. Determine s(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 5*f - 225 + 258, 12*r = -4*f + 7*r - 40 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 63\/22 and -131\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*w + 127*w + 435603 = -3*q, 2*w + 4*q - 290402 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -265*d - 692. Determine c(-3).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cm when two letters picked without replacement from {m: 5, s: 1, h: 3, c: 1}.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -27*h + 144. Solve -3*s - 2*i - 12 = i, 12 = -h*s - 3*i for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6967.612t to grams.\nAnswer: 6967612000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.024, 0.1, 2\/13, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52.93*-1028.\nAnswer: -54412.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 25.99 minus -0.06?\nAnswer: 26.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*p - 2*g, 0 = -p + g - 2*g + 24. What is the highest common divisor of 140 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1*1)\/((-2)\/14). Suppose -w = 5*y + 43. Let b = y - -26. Is b a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, l: 2, b: 1, k: 3, f: 1}. What is prob of picking 2 l?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*c = 12*c + 18. Suppose -3*k + 132 = k. Let h = -21 + k. Calculate the lowest common multiple of c and h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 1836379*n. Let a be j(-1). Let q = -220659 - a. Let i = q + -1065720. Round i to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(300) + -2 + 1)*-1)**2.\nAnswer: -602 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 486*l**4 - 12865*l**3 - 8412741*l**2 - l wrt l.\nAnswer: 11664*l - 77190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 465784 divided by -116446?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 2, 4.\nAnswer: 2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by (-16)\/3*(-30)\/20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13573278?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3 = -7. Let o(u) = -u**2 + 6*u - 5. Suppose -5*p = 2*y - 19 - 9, 0 = 4*p - 4*y. Let a be o(p). Solve -d = -a*b + 1 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/3*-3 - 0. Let k(y) = -y**3 + y**2 - 2*y + 4. Suppose -3*u = 5*u. Let t be k(u). Solve 0*b + f*b - t = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 729 - 709 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18269\/5 - 47077\/15. Let r = -516 + i. What is the third biggest value in 2\/5, r, 6\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.1 and -0.874.\nAnswer: -0.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 200 + -196. Put 1, m, -1, 7 in descending order.\nAnswer: 7, m, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*j - 30 + 19, -4*j = 4*i - 4. Let s(h) = 4*h**2 - h + 5. Let m(b) = b**2 - b + 1. Give i*s(d) + 6*m(d).\nAnswer: 2*d**2 - 5*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11*h**2 + 11*h + 4. Let q = 3 - 16. Let n(v) be the first derivative of -5*v**3\/3 + 5*v**2\/2 + 2*v + 445363. Determine q*n(o) + 6*m(o).\nAnswer: -o**2 + o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 8*o - 71. Is q(38) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 871 - 785.7. Round d to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -40.8 + 0.65\nAnswer: -40.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1676.96601 + 1221323.\nAnswer: 1222999.96601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/698004 and 107\/48?\nAnswer: 2792016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, y: 13}. What is prob of sequence xy?\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*z + 29*z + 26040 = -30*z. Does 28 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/6 + 6095*y\/6 + 1016.\nAnswer: -(y - 6096)*(y + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 275, 1, 2 in increasing order.\nAnswer: -4, 1, 2, 275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -195 - 1845. Suppose -2*u = 0, 0 = -p - p + 2*u - 526. Let n = p - z. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 8*y**3 + 2 + 2*y**3 + 3*y**2 - 9*y**3 - 3*y + y**2. What is the remainder when 27 is divided by c(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/1365 and 31\/4095.\nAnswer: 4095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 63 (b) -1\/3 (c) 3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eel when three letters picked without replacement from {e: 16, l: 2}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 2*t**2 + t**2)*(-14 - 7*t**2 + 14)*(-t + 5*t - 3*t)*(-2 + 2 - 2).\nAnswer: 28*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/(d\/(d\/(d\/(d**1*d)))*d))*d\/d**(-1\/5)*d)\/(d\/(((d**(-1\/4)\/d*d)\/d)\/d))**1*d\/(d*d**0)*d**(1\/3)*d*(d**(1\/2))**(7\/8) assuming d is positive.\nAnswer: d**(413\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5\/3, 0.4, 279?\nAnswer: 279","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + sqrt(130) + -2*(sqrt(130) - (sqrt(130) - -1*sqrt(130) - sqrt(130))))\/(sqrt(10) + -1*sqrt(640) - sqrt(10)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 320 = 3*l - 13*l. What are the prime factors of l\/176 - ((-10401)\/33 + 1)?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42835276 to the nearest integer?\nAnswer: 6545","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, q: 2, c: 1, v: 2}. Give prob of sequence qcqp.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 3*i - 390, -3*i + n + 267 = -i. What is the highest common divisor of i and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -1 + -2 + 3 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**5\/6 - 5*t**4\/6 + 7*t**3\/6 - t**2\/2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 n when two letters picked without replacement from {d: 5, g: 4, i: 4, a: 3, n: 3}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-7) - 12\/(-7). Let t be 1*0*1\/r. Solve 2*l - 14 = -0*l + 4*w, -3*l + 3*w + 6 = t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (801\/(-1068))\/(2\/(-16)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3328 - -19.4028. What is the biggest value in i, 2, 1\/10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -32*l + 18 - 6 + 1. Let b be f(-7). Suppose b = -4*a + 749. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q**(-2\/17)\/q*q)))**(-28) assuming q is positive.\nAnswer: q**(56\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2145337\/8 - -268167. Suppose 0 = -y + 2. What is the closest to y in c, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 328 + 331 - 659 - 2*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p = -7*p + 2*p + 7*f + 102, 7*f - 57 = 5*p + 9*f for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 41 + -2 + (1 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:23 PM and 2:09 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 6*d**2 - 6*d**2 - 7*d + 0 - 4 + d**2. What is h(7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 111349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 143, 311, 511, 743?\nAnswer: 1007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 2:04 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -117, -257, -471, -795, -1265?\nAnswer: -1917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 16886, 16573, 16052, 15323, 14386, 13241, 11888?\n\"Answer: -104*x**2 - x + 16991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2723 or -2066\/7?\nAnswer: -2066\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s - 1. Let u(a) be the first derivative of a**2 - a - 10. Calculate 4*f(l) - 6*u(l).\nAnswer: -4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 r, and 1 i when three letters picked without replacement from fiqaamir.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*u = -35*u - 4*o + 4, 5 = 3*u + 5*o for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2 (c) -9 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -132 in -0.4, 1, 0.49?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/4898 and 13\/18.\nAnswer: 44082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 = 278*i - 261*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(2057) - (sqrt(2057) + 5*2*sqrt(2057))) + (sqrt(2057) + 4)*-1)*3*-6 + -3)**2.\nAnswer: 1228392*sqrt(17) + 322590393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106 and 52152.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 166*h + 165. Give a(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -38, -29, -4, 43?\nAnswer: 118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 66 or 93?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 25*d + 5. Let j be l(12). Suppose 53*f + 1529 = 5*b + 51*f, -3*f + 1519 = 5*b. Is j at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 0*i - 3*i = 78, -2*n - 2*i + 116 = 0. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4229 - -4228.8. What is the third biggest value in -27, z, -2\/17?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -209*h + 223*h + 70 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d6971 + 2?\nAnswer: d6973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4*s - 6*y - 27, 6*y + 0 - 3 + 9 = -0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 7, d: 1}. What is prob of picking 1 w and 1 d?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6.5 (b) -24 (c) 0.1 (d) -58 (e) 31 (f) 4 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 45.52 + -0.4\nAnswer: 45.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -5, 4, 3\/5, -29, 0.049?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 44, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 10. Let i be o(-6). Solve 0 = -i*b + 3*b - 15 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the first derivative of h**6\/6 + 3*h**4\/4 + 148*h**3\/3 + 1245*h**2 + 656. What is the second derivative of g(l) wrt l?\nAnswer: 20*l**3 + 18*l + 296","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2 (b) -0.078 (c) -2 (d) 28 (e) 0.1 (f) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 53. Let j = w - -49. What are the prime factors of j?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - -6) - -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/4*2436\/(-17226)*12?\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 1 + -24 - (-468 + 419 - -52).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-82)\/28 + (-580)\/(-406). Suppose -o - x = 5, 2*x = -0*o + o - 4. Let s = o + 1. Are y and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -13 (b) -2 (c) -140\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3612 - (-70 + 10)\/(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-18 - -12) + 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9 - (-48)\/9. Suppose -3*z - 5*s + 3*s = -3, 1 = z - p*s. List the prime factors of 2 + z + 520\/13.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 16 - 15 - (-3)\/(-6)*-6. Solve -3 = -v*l + 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*(12 + 3 + -2). Let z(d) = -d - 12. Let v be z(w). Let m be 10 - (3\/1 - v). Solve m*u = 3*u + 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*y + 72 - 34 - 41 to the form j*y + q and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 693269768?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 110853?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -5, 1, -4.\nAnswer: -5, -4, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the second derivative of z**6\/720 + z**5\/20 + z**4\/3 + 2*z. Let u(l) be the third derivative of o(l). What is u(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 14, 34, 64, 104, 154, 214?\n\"Answer: 5*g**2 + 5*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 74396857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6592, 5395, 3442, 733, -2732, -6953?\n\"Answer: -378*p**2 - 63*p + 7033","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*j + 9*j + 27*j - 132 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 33.37. What is the smallest value in 8, u, 0.2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -18143807*s. Let i(r) = 2*r. Give i(m(c)).\nAnswer: -36287614*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 6*o**2 - 6*o + 10. Suppose r + 5*p - 449 = -r, 3*p = -5*r + 1113. Let t = r + -157. What is the remainder when t is divided by s(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.1, 4\/285, 1, -0.2, 0.3 in increasing order.\nAnswer: -0.2, 4\/285, 0.3, 1, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -2*t**2 + 3 + 1 - 2*t - t**2 - t**3. Let q(u) = u**3 - 6*u**2 - u + 3. Let r be q(6). Is p(r) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l - 16*l - 1839 - 1391 = -2360 for l.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 27*o - 96 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*(-6)\/2)\/(42\/(-4))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*b + 42715 = -50*b. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142 divided by 142.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2811 - 2796. Solve 9*c - v*c = -48 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1031*(-25)\/(-10) + (-3)\/6. Find the third derivative of -38*s**2 - 2573*s**3 + a*s**3 - 10*s**2 wrt s.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**2 - 3*j**2 + 2*j**2 + (0*j - 2*j + j)*(4*j - 3*j + 0*j) + (12*j + j - 3*j)*(-3 + 3 + j).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2856861.9 seconds?\nAnswer: 47614.365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 3*a + 14, 2*i + 2*a = 5*i - 2. Solve i*o - 9 = -o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 20122 and 436.\nAnswer: 8773192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -45*u + 5. Let t be b(-1). Calculate the highest common factor of t and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1914 and 2476716?\nAnswer: 2476716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25*g + 4*g - 105 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**3 - 3*o + 3. Let a(s) = -s + 2. Let d(t) = -5 + 9 - 4 - 1. Let h(g) = -a(g) - d(g). What is -3*h(q) - l(q)?\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*a + 3165, a - 3 - 2 = 0. Suppose 3750 = 5*z + k. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 3) + 45 + -4. Calculate the highest common divisor of 5 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1142, -990, -750, -428, -30?\n\"Answer: -y**3 + 50*y**2 + 9*y - 1200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((sqrt(1573) - (sqrt(1573) - (sqrt(1573)*1*6)**2) - sqrt(1573))*-5 + (6*sqrt(104)\/sqrt(4))\/(sqrt(6)\/(sqrt(6)\/sqrt(2)))).\nAnswer: -1132560 + 244*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 4*i + 3. Let h(z) be the first derivative of z**3\/2 + z**2 - z + 3. Let o(l) be the first derivative of h(l). Calculate -3*o(x) + 2*u(x).\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 83 + -57. Let k be (-4)\/h - (-287)\/91. Suppose 0 = -5*u - 12 + 32. Solve -4*x + 2 = 2*g, -5*x - k*g + 20 = -u*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 10:26 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/28849304 and -51\/1311332?\nAnswer: 28849304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.6604 - 1.6924. What is the closest to x in 1\/3, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 167 = 3*s + 999, 0 = 4*r + 4*s - 832. Calculate the greatest common divisor of r and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from kkttttik?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 86.95 and 46.\nAnswer: 3999.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5202307 (base 9) in base 3?\nAnswer: -12020002100021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384 = 4*d - 6*d. Let i = 4414\/23 + d. What is the smallest value in i, 3\/7, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*w + 10, -2*h - 3*h - 4*w + 22 = 0. Suppose 8*m = h*m - 30. Sort 1, m, -9.\nAnswer: -9, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 8*d + 10 - 12.\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r = 21*r + 2*j, 0 = -5*r - 3*j + 33. Solve 8 = -r*i + 17 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -15*k**2 - 27*k - 6. Let i(f) = -11 + 8 - 7*f**2 - 10*f - 3*f. Let c(s) = 13*i(s) - 6*r(s). What is c(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/5 of a meter in millimeters?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) 175 (b) -0.2 (c) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -300003*r**3 - 2*r**2 - 2*r - 1. Let k(p) = p**2 + 8*p + 6. Let m be k(-7). Let n be z(m). Let t be n - (0 + 3 + -1). Round t to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/4 + (-2)\/(-8). Suppose -2*p = -2*t - 12, 3*t = -g*p - 4*p - 4. Solve -p*i - 2*i = 16 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-8)\/14)\/(-2))\/(3903\/191247).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -151808359, -151808360, -151808361?\nAnswer: -151808362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22337, 1\/2, 23?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -285 + 280. Let m(o) = 1 + 2 + 2*o - 2. Give m(i).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/13 - (-7509740)\/26. Let f be t\/10 - 18\/(-45). Let d = f + -16784. What is d rounded to the nearest 1000?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1639969 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12811 a multiple of 157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8641*j - 868*j + 342012 = 0 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h - 7. Suppose k - 2*n + 0 = -7, n + 14 = -2*k. Let g be c(k). Suppose -s + g*z = -z, 0 = s + 3*z + 4. Is s < -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -134, -124, -108, -86, -58?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.26 (b) 1 (c) 4\/3 (d) -681\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3883591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*g + 200 = -95*g. Solve g*r = -17*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 48\/4021 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-f + 3*f - 4*f).\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/16 and 151\/36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2 - 29*h - 28. Suppose -2 - 70 = -2*i. Suppose 4*n = -2*w - i, -w - 1 = 3*n + 16. What is the hundreds digit of x(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/168156 and -82\/117.\nAnswer: 2186028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x - 6. Let r(d) be the first derivative of -d**2\/2 - 4*d - 1. Let w(f) = 5*i(f) - 7*r(f). Let v(t) = 2*t - 1. Give 3*v(g) - 2*w(g).\nAnswer: 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3037617901 to the nearest integer?\nAnswer: 55115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -44\/5*z - 484\/5 - 1\/5*z**2 = 0.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 99 and 35805?\nAnswer: 107415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 80116? (a) -3\/5 (b) 2\/17 (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 742092221*q + 608597987 wrt q.\nAnswer: 742092221","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -166 (base 9) to base 11.\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1535551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 33 - -34. Calculate the remainder when s is divided by ((-805)\/105)\/((-1)\/3).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 686863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5 and 1014.\nAnswer: 5070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2352, 4659, 6918, 9129, 11292, 13407, 15474?\n\"Answer: -24*v**2 + 2379*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*n**3 - 149*n**3 + 9 - 4 in the form i*n**2 + s*n + w*n**3 + v and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -52*a**3\/3 - 1544*a**2\/3 - 1028*a\/3 + 464\/3 = 0. Calculate a.\nAnswer: -29, -1, 4\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1648.204 hours to nanoseconds.\nAnswer: 5933534400000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 l, and 2 o when four letters picked without replacement from {o: 3, j: 1, l: 1, q: 1, s: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -109 - -107. Sort -5, q, 3.\nAnswer: -5, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 497.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.148 - 0.048. Let a = v + -2.09955. What is a rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 212 (b) -1\/542438 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 110 + -103. Calculate the remainder when s + 6\/(-2) - (-39)\/1 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30223 - -3211?\nAnswer: -22012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -2. Let m be -1 + ((-1)\/1)\/c. Solve 1 = -v - m for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -b - 17 - 10, 0 = 26*b + c + 74 - 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 299 = -291, -4*s = 5*n + 32 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33920 divided by 2.\nAnswer: 16960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*-1 - (-2 + (-3)\/9). Let t = 0.3 - 3.3. What is the nearest to -2\/3 in y, t, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (1 + -6 - -15)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c - 2*c + 2*c)*(2 + 3 - 6 + 21*c)*(11 + 20 - 7).\nAnswer: -2016*c**2 + 96*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 272176462, 272176463, 272176464?\n\"Answer: t + 272176461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -0*g - 125. Suppose -p + 5*p + 23 = -3*h, 5*p + g = 0. Let d(c) = c + 1. Let u be d(4). Put h, u, 2 in descending order.\nAnswer: u, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19628075*t**3 + 1281991*t**2 - 7*t wrt t.\nAnswer: 117768450","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1678899161?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-2)\/(-4)) - 2. Let i = -11 + 9. Put i, l, 12 in increasing order.\nAnswer: l, i, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -468 - -467. Let m(p) be the first derivative of -p**2\/2 + p + 23. Let r(q) = q**2 + 2*q - 3. What is f*r(b) - 5*m(b)?\nAnswer: -b**2 + 3*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express t**4 + 3*t**2 - 3*t**2 + (0*t**2 + t**2 - 2*t**2)*(4 - t**2 - 4) + 2639*t**3 - 7*t**4 - 2639*t**3 as w*t**4 + l*t + d + p*t**3 + x*t**2 and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -54*g**3 - 5*g**2 + 164*g - 307. Determine j(2).\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 15.84 (b) -305\/241 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -686 = 69*j + 211 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**3 - 297*g**3 - 267*g**3 - 291*g**3.\nAnswer: -866*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 + 14*n + 15. Let j be i(-12). Let y = j + 11. Suppose -l = y*b + b + 7, -2*l - 4*b = 8. Solve -2*r = x - l, -x + 5*r - 2 = 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -80416, -160765, -241114, -321463?\n\"Answer: -80349*u - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -104 - -104.051. Let i = -0.05154 + n. What is i rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d + 60*d + 7*d**3 - 4*d**2 - 3*d**3.\nAnswer: 4*d**3 - 4*d**2 + 62*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*m**3 - 7*m**3 - 11*m**3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -4*g - 54, 3*r = -48*g + 226 - 181 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1141803 is divided by 169?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1557123 is divided by 1347.\nAnswer: 1338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*g**3 + 0)*(11*g**2 - 12*g**2 + 3*g**2) - g**5 + 0*g**5 + 0*g**5.\nAnswer: -7*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/6, -18, 0.08?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (44*y - 8 + 42*y - 63*y)*((0*y + 0*y - 2*y)*(3 + 2 - 1) + 2*y + 1 - 1).\nAnswer: -138*y**2 + 48*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11897819 < 11897818?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17072398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 9*y + 60 = 0. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 PM and 12:38 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -979*k**2. Let l(t) = -21*t. Calculate l(o(a)).\nAnswer: 20559*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.857719332 and -0.0201.\nAnswer: -0.877819332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -454174*b**3*k**6 - 12*b**3*k**3 - 2*b**3*k**2 - 2*b**2*k**2 - 3008602*b**2*k wrt k?\nAnswer: -54500880*b**3*k**3 - 72*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1, 1\/3, -3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**8\/(r\/r**(-8))*r**(-1)\/(r*r*r**(1\/9)) assuming r is positive.\nAnswer: r**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -183241, -366285, -549329, -732373?\nAnswer: -915417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -16*q - 2. Determine g(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13547\/15 + -5199\/5. Let l = v + 136. Let s = -4 - -3.8. Which is the closest to l? (a) s (b) -1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2. Let p(j) = 62498402*j. Calculate p(q(b)).\nAnswer: 124996804*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**2\/7 - 134*x\/7 + 136\/7 = 0?\nAnswer: -68, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001146397375 rounded to 7 dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16522 and -498.665.\nAnswer: 16023.335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 4252 - 6292 = 0. Let p = k + 31547\/6. What is the common denominator of 109\/22 and p?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 650?\nAnswer: 652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 964399837 to the nearest integer?\nAnswer: 31055","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0506 and 74487?\nAnswer: -3769.0422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 50 = 6*x. Solve -4*l + x = -3 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b - 4305786 = -78*b - 4304070 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5010576*g**4 + 304*g**2 - 488*g - 4 wrt g.\nAnswer: -120253824*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n - 881. Calculate v(32).\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -164 in -435, 0, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*g**2 - 8*g**2 - 88*g - 2*g**2 + 86*g - 6*g**2.\nAnswer: 11*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18892343 is divided by 985.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -11121?\nAnswer: -11122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000229611 to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101 - 17 = 12*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 + (-160)\/(-5) + 3. Suppose -3*j - 2*j = -2*n - h, 5*j - 50 = -n. Let i(z) = -226 + 226 + j*z**2. Let w(m) = -m. Determine i(w(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8 + (-6 - -5)*5. Let z = -1 + 1. Which is the second biggest value? (a) z (b) 0.2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -776*t - 797*t + 1573*t - 418*t**3 + 4207*t**2 wrt t?\nAnswer: -2508","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -24*x - 242. Let c be q(-11). Solve 36*d = c*d + 70 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 937.\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 29 + 21 = 4*g, g = 32*h - 125 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -462 divided by -4\nAnswer: 231\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 1:25 PM?\nAnswer: 2:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 125131 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.544 + -0.344. Suppose 0 = 5*r + 5*u - 20, -4*u + 6 = -6. What is the nearest to r in 3\/4, 4, x?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5453*h**3 + h**2 + 4*h + 590729 wrt h.\nAnswer: -16359*h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1373 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -5\/7, -5.032, -4 in descending order.\nAnswer: -5\/7, -4, -5, -5.032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/3, -7\/5, -1, 2.\nAnswer: -7\/5, -1, 1\/3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 1832\nAnswer: 3664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 51272334 to the power of 1\/2, to the nearest integer?\nAnswer: 7160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -4. Let x(m) = m**2 + m + 224. Let l be x(i). Suppose 29 = -5*k + l. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.689 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 AM and 4:36 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) -2\/17 (b) 342 (c) 0.6 (d) -0.5 (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ethuzttehtteeet. Give prob of sequence hezt.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 474 - -231. What are the prime factors of a?\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/4, -65, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6710386 is divided by 135?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 5*g + 6. Let k be n(-4). Suppose 0 = k*u - 3*t - 6, -4*u - 2*t = -0*u - 12. Solve u = 5*v - 17 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -6, -5, -1\/379?\nAnswer: -1\/379","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 9) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6039*c*k**2 + 119728*c*k + 4*c - 71*k**2 - k wrt k?\nAnswer: -12078*c - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -436*q**3 + q + 12 - 2*q**4 - 3*q**2 + 221*q**3 + 219*q**3 to w*q**3 + t + c*q + s*q**4 + f*q**2 and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0939299 nanometers in kilometers?\nAnswer: 0.0000000000000939299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and 32971?\nAnswer: 197826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 19461.27 grams?\nAnswer: 19461270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 340 and 6?\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -125 - -125.1. What is the biggest value in t, 9, 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence twjt when four letters picked without replacement from {w: 1, j: 6, t: 5, z: 6}?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 21206 = 2*h, 1704 = -3*o - 3*h + 22914. List the prime factors of o.\nAnswer: 2, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 3*c + c + 10, 2*a + 15 = 3*c. Let j(m) be the third derivative of -m**4\/24 - m**3\/2 - 2*m**2. Determine j(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 - 0.2. Let p = x - -1. Let t = 3\/16 - -1\/16. What is the second biggest value in t, -5, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 33 - 11)*((0 - 2 + 0)*(4*s - 2*s - s) + 216*s - 194*s + 187*s).\nAnswer: 5382*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 1674421*n**3 - 3348736*n**3 + 1674385*n**3.\nAnswer: 70*n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -4053982147657\nAnswer: -4053982147657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 11*n + 56 = 0. Let t(j) = -14*j + n*j - 2*j. Let u(q) = q**2. What is u(t(y))?\nAnswer: 64*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 214783 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 3*c**2 - 1. Let r(o) = 3*o**2 + 10*o - 17. Let h be r(7). Let x(t) = t**2 - 200*t + h*t. What is w(x(j))?\nAnswer: 3*j**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + 1 + -3 + sqrt(42)\/(sqrt(6) + 1*sqrt(6) - sqrt(6)) + 5 - ((sqrt(70)*1 - sqrt(70))*3)\/((-1*sqrt(120))\/sqrt(12)))*-5.\nAnswer: -10*sqrt(7) - 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 22*f + 11776. Find the common denominator of 103\/30*(-192)\/f and 1\/56.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 501572\nAnswer: 5\/501572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 353984 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.27213580176 minus -38?\nAnswer: 38.27213580176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -20 + 28. Which is the nearest to -2? (a) -5 (b) i (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2b - 2?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 10*y - 131. Calculate the smallest common multiple of y and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cv when two letters picked without replacement from {c: 6, v: 2, o: 3, z: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140363?\nAnswer: 140363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 193407085 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 4*a = -7*m + 14*m + 32, -11*m - 116 = -2*a for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 + 2*y + 2. Suppose 2*s - 1 + 7 = 3*c, -2*s + 2 = c. Let f(k) = 13 + k**c - 24 + 10. Determine 2*f(o) + z(o).\nAnswer: -2*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(2\/13))\/(y\/(y*y**1))*(y**(-1\/2)*y)**(-15)*(y**(2\/15)*y**(-2\/19))\/(y*y\/y**2*y*y\/(y*y\/(y**(-1\/9)\/y)*y)) assuming y is positive.\nAnswer: y**(-71291\/22230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 9447107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522114677 to the power of 1\/6, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 10:45 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + -4*(-4)\/8. Suppose -z + 30 = -4*x + 3*x, -a*z + 125 = -3*x. Let w = 44 - z. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 72 = 252. Calculate the remainder when 71 is divided by h.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 3*w + 12. Suppose -4*z + 6 = 18. Let j be x(z). Solve 5*l - 4*f - 36 = 0, -3*l + j*f + 2*f = -32 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/20 of a meter?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -1078*r + 80*r - 20040 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.12, 31, -1.4, 0?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - 1213540012?\nAnswer: -1213540010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27917 - 13962 - 1685*d**2 + 6419*d**2 - 13955.\nAnswer: 4734*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -1517*m. Let y(h) = 8*h. What is y(t(r))?\nAnswer: -12136*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3163 - -3244. Let l = -4405.12 + 4324. Let n = f + l. Which is smaller: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y - 6. Let l be u(8). Let g be (-3)\/(0 + -3) + l. Suppose -g*n + 2 = -355. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*m - 76 = -4*s + 50*m, 3*s = -m + 57. Suppose 133 = 2*v - 5*o, 5*v = -0*o - o + 373. What is the remainder when v is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -13. Suppose -6*i = -y*i + 2*f - 42, 25 = 5*f. Let k(o) = o**2 + 11*o - 10. What is the tens digit of k(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-2\/7))\/y)**(-1\/26))**(-1\/2) assuming y is positive.\nAnswer: y**(1\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 454 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48872847 to the power of 1\/3, to the nearest integer?\nAnswer: 366","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -43*u - 312. Let l be f(-8). Solve 9*k - l + 23 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, -7, 0, -1, 1483 in decreasing order.\nAnswer: 1483, 0, -1, -7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of -h**7\/280 + 3*h**6\/80 - 11*h**5\/80 + 3*h**4\/16 + h**2 - 117*h. Let z(l) = 0. What is l?\nAnswer: 0, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 14*u - 19. Let c be z(12). Let v be ((1 - 1)\/1)\/(-1). Put v, c, -2, 2 in descending order.\nAnswer: c, 2, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 1 = -c - 3, 8 = 2*y + c. Suppose 4*r - 8 = 5*l, -y*r = -3*r + 2. What is the units digit of (l - -1)*(2 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 72365bb?\nAnswer: -72365c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**(-10)))**9 assuming m is positive.\nAnswer: m**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j - 3, 2*j + 3*j + 2605 = 4*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2480022059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*sqrt(12)\/sqrt(4) - (sqrt(363) + -1)).\nAnswer: -1 + 13*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 239957?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - w = -10, 4*k + 0*k = -w - 60. Let y(c) = 6*c + 3. Let m be y(3). What are the prime factors of (-4)\/k - (-99)\/m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100854 by -16809.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 34039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*l - 28 = 0, 5*r + 4*l - 10 - 14 = 0. Suppose -12 = r*j - 12*j. Suppose -5*y = -5*k - 220, -3*k - 84 = -j*y + y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w - 157*w**3 + 25 + 8 + 80*w**3 + 81*w**3 to the form u*w**3 + n*w**2 + i + f*w and give i.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 13*r - 13. Let i be l(-10). Suppose 8 + i = 5*d. Suppose 3*b = 2*s - 4*s + 138, -s - d*b = -62. Does 18 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v = -2*x - 12, -15 = 12*v - 9*v for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4358*a = -246135 - 15345 for a.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 17*o**2 - 2*o + 4. Suppose 0 = b - 3 - 7. Let z be l(b). Let x = -5761\/8 - z. Calculate the common denominator of x and 91\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2. Suppose 6 + 4 = 5*b. Let f(z) = -z**2 + 7*z**2 + 3*z**b. Calculate f(w(v)).\nAnswer: 9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h**4 + 44*h**3 - 24*h**2 - 32*h = 0.\nAnswer: -4, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 2, -7, -2, 0.5 in descending order.\nAnswer: 2, 0.5, -0.2, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 4 + 5*s + 0 + s**3 + 0*s**3. Let l = -9 - -5. Let p(n) = -3*n**3 + 3*n**2 - 14*n + 11. Let z(m) = l*p(m) - 11*h(m). Give z(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.09345 - -0.40655. Let r be 16\/21 + 8\/(-12). What is the closest to -2\/3 in r, y, -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 33292205581\/889608 - -195\/74134. Let a = -37418 + d. Calculate the common denominator of a and 64\/3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/19)*(a*a**(-1\/7))\/a*((a*a*a\/a**1*a)\/a)**(-27\/4))**(-6\/25) assuming a is positive.\nAnswer: a**(10971\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 7*d - 9. Let r be t(-7). Let v = -3 - r. Solve 0 = -u + v*u + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -600 + -1333?\nAnswer: -1933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.9 - 1. Let w = -0.09 - f. Is 1 greater than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -39*m - 240. Let j be p(-17). Calculate the greatest common factor of 47 and j.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -8*z - 102. Let j(v) = 2*v + 5. Let s(b) = 963 - b - 949 + 7*b. Determine z*j(n) + 6*s(n).\nAnswer: 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300) + (3*(sqrt(1300) + -2 + sqrt(1300)))**2 + -5)*-2.\nAnswer: -93662 + 1420*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w - 208*w**2 + 611*w**2 + 36*w**3 + 2*w - 31*w**3 in the form y*w**2 + g + a*w**3 + c*w and give y.\nAnswer: 403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7670799122 rounded to 4 dps?\nAnswer: -0.7671","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17565 + 29452. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -15, 4, 2 in increasing order.\nAnswer: -15, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -69290?\nAnswer: 3\/69290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 - -24. Suppose -p*h = 4 - 10. Solve -h*y + 14 = -1 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + 1 + sqrt(11).\nAnswer: -2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -11*b + 58. Let i(k) = 13*k - 57. Let d(q) = 5*i(q) + 6*o(q). Let y be d(14). Calculate the greatest common divisor of 49 and y.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - -2. Let o = -3.85 - 0.15. Let g = o + d. Do g and -3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 38, 30, 20, 8?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 234 and 12564.\nAnswer: 163332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 154.1 * -0.04.\nAnswer: -6.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1344\/24*(-78)\/455*(-30)\/(-9).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 105 = 42*w + 41. Calculate the remainder when (0 - 10)\/(2\/(-4)) is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of m**5\/20 - 7*m**4\/6 - 17*m**3\/6 + 56*m**2 + 2. Let k be o(10). Find d such that 12\/7*d + 0 + 2\/7*d**2 - 2\/7*d**k = 0.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 + 8*c + 4. Let o be k(-7). Let l = -17 - -24. Is (l + o - 3)*67 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + (1 + sqrt(7))**2 + 0.\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5268*n**2 + 13*n + 13. Let f(w) = 2633*w**2 - 6*w - 6. What is 13*f(t) + 6*v(t)?\nAnswer: 2621*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8 - -6. Let r = 0 + 1. What is the nearest to -2 in y, -3\/4, r?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*g - 102, -6*i - 72 = -2*i - 4*g. Suppose 3*p - p + 27 = 3*a, -5*p + 3*a = 45. What is the units digit of (-26)\/i - p\/(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -30.2, 0.03, -0.1?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 17*j - 55 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -12*g**3 + 7*g**2 - 10*g + 7. What is s(3)?\nAnswer: -284","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2511333, 5022691, 7534075, 10045485?\nAnswer: 12556921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 2*w = 3*i - 16, 5*i = -5*w - 40. Is w greater than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2280745 to the nearest integer?\nAnswer: 1510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 35\/3, 0.5, -16, -1, 0.03, 3\/5?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-560)\/150 - 72\/(-180))*((-24)\/15 - -4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -67 - -73. Calculate the lowest common multiple of f and 14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-6) - 4\/(-6). Let u = 4 - 3. Let f = 1430 + -1435. Which is the closest to u? (a) p (b) f (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2919*38.731.\nAnswer: 113055.789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7313*4.\nAnswer: 29252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -66 - 9*j**2 - 19*j**2 - j**3 + 17*j**2 + 68. Determine y(-11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -401*q**4*w + 14025*q*w - 4*w + 779209 wrt q.\nAnswer: -1604*q**3*w + 14025*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 162.6889 millennia?\nAnswer: 162688.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7. Let d(g) = -2 - 7 + 2 - 3. Let b(i) = 7*a(i) + 5*d(i). Let s(h) = 2*h - 3. Determine 3*b(j) - s(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/(-36) - 3320\/480.\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 8.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13877 divided by -38.\nAnswer: -13877\/38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -637 + 0.106?\nAnswer: -636.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 44560711 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (3040\/(-15))\/(-152)*(76\/(-6))\/(32\/(-108))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107485?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of u**5\/20 - u**2. Suppose -19 = -4*c - 0*o + o, 3*c = -4*o. Let s(w) = c*w**2 - w**2 + 0*w**2 - 4*w**2. What is s(m(y))?\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813165 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(-3*f + 3*f + 3*f + (1 + 1 + 1)*(f - 4*f - 2*f)).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 95 = -2*c. Suppose c*k - 22*k + 27 = 0. Solve 3*f = -k - 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/7 + 30\/(-7). Let y be -6*s\/6 + 0. Find the third derivative of 5 - y + 3*g**2 + 3*g**4 - 1 wrt g.\nAnswer: 72*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5933726503 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (7205\/393 - (-2 + 20))*(-3)\/(-7). Let s(l) be the first derivative of 42 - 18\/7*l**2 - d*l**4 - 16\/7*l - 8\/7*l**3. Let s(y) = 0. What is y?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1051 - -1326. Let l = -274 + z. Let v = 3\/29 - 151\/58. Which is the third smallest value? (a) l (b) -11 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 7:42 PM?\nAnswer: 12:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (535 + 525 + j**2 - 587)*(-4*j + j - 4*j).\nAnswer: -7*j**3 - 3311*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5326 (base 13) to base 9.\nAnswer: 16724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 10603278?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a - 9, f - 6*f - 3*a = -34. Suppose -f*j = -2 - 13. Suppose 4*t + 112 = 3*o - 31, 0 = j*t + 5*o + 71. Find the common denominator of -14\/3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 197*s - 46*s + 16*s in the form y + t*s and give t.\nAnswer: 167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 + 3 + 2*b - 7*b**2 + 11*b**2)*(0*b - 2*b + 4*b).\nAnswer: 6*b**3 + 4*b**2 + 6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -192*(-4)\/(-30)*-5. Suppose -s = 5*x - f, 2*x - 11*f + 6*f = -42. Let p be 10\/4 - (-13)\/x. Solve -5*b - 3*g - 5 = 0, p*b = 4*b + 3*g + 11 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/8*3\/((-9)\/(-111)). Which is bigger: h or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/5 + 2 - (1442 + -1440)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.1454613cm?\nAnswer: 1454613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10111001 + -10010011110?\nAnswer: -1111100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 + l + 2. Let y(m) = 4*m**2 + 5*m + 18. Let o(b) = 5*u(b) - y(b). Let j(d) = 2. Let w(z) = -4*j(z) - o(z). Let p(x) = -x - 21. What is w(p(h))?\nAnswer: -h**2 - 42*h - 441","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71 = 21*b + 13 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 999.22 kilometers to millimeters.\nAnswer: 999220000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*t = 697*t + 9488 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from nuuunuunnnnnnnnunuuu.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b**2 - 8*b + 7. Let p(s) = s**2 - 4*s + 4. Let z(x) = -2*i(x) + 5*p(x). Let m be z(3). Factor -3*q**2 - 19*q + 8*q + q**m + 13*q.\nAnswer: q*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1780 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 6, -1\/329, 1\/5, 1, 0, -0.4, -6\/13?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-10))\/(((-56)\/8)\/7)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**3 - k + 1. Let t be g(1). Let o(b) = 3*b + 2 + 0 + 3*b. Let j(m) = 11*m + 4. Let s(y) = t*j(y) - 7*o(y). Give s(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2285874243?\nAnswer: 3, 79, 1071671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -18*a**2 - 1. Let g(z) be the second derivative of -z**7\/1260 - 3*z**4\/4 + z**3\/3 - z + 5. Let n(j) be the third derivative of g(j). What is f(n(d))?\nAnswer: -72*d**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/4 - 381*k**2\/4 - 759*k\/4 - 379\/4.\nAnswer: -(k + 1)**2*(k + 379)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 22526 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: Let h = -0.25 + 2.25. What is the closest to -0.1 in 1\/2, h, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 98*q**3 + 40*q**2 - 4*q + 8. Let l(i) = -195*i**3 - 80*i**2 + 9*i - 18. Let b(n) = 9*c(n) + 4*l(n). Find the third derivative of b(z) wrt z.\nAnswer: 612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0029379 to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 9\/6)\/((-2)\/480). Let i = 208 - q. Suppose 2*c - 5*z - 9 = 13, -5*c + 55 = -2*z. What is the highest common factor of c and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (5\/(-4))\/(1\/4). Let j be 2\/(-4)*d*2. Suppose 0 = j*l + 843 + 407. Round l to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/5)*m*m)**(-38)*(m*m**(1\/22))\/m*m*m**(-24)*m assuming m is positive.\nAnswer: m**(-12447\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**6\/120 - 2*w**5\/15 + w**4\/4 + w**3 - 3146*w**2. Calculate a(-8).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 + 2*u**2 - 1 + 2*u**3 + 0*u**3 in the form m*u**3 + q*u + o*u**2 + w and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1393 and 172931.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 702.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -45630\/150343?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48 + 200*l + 7*l - 45 + (0 + 0 + 2*l)*(3 - 2 + 1).\nAnswer: 211*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**3 + 78*l**2 - 86*l - 34. Let i be r(-14). Put -2, 272, i in ascending order.\nAnswer: i, -2, 272","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 3*j - 7. Let y be b(5). Let i be ((-2)\/(-4))\/(y\/216). Suppose 8 = 2*x - i. Calculate the least common multiple of 4 and x.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6*t - 4*t = -37, -2*y + t = -25. Suppose -x = -2*n - y, -5*x + 8*n = 7*n - 29. Solve 4*i - x = -13 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -4. Suppose d = u + u. Suppose 3*s + 9 = 0, -t - t - 2*s = u. Solve -t*x - 4*n = -15, -1 = -4*n + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23128 divided by -59.\nAnswer: 392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3429 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w. Let i(y) be the first derivative of -1459*y**2 - 196. Give l(i(z)).\nAnswer: -2918*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f - b + 14, -f + 2 - 1 = 2*b for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5409767 to the power of 1\/3, to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 3\/7, -1\/17, -0.3, 0.06?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 4*l + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6587278.6 to the nearest 10000.\nAnswer: -6590000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 125 + -2 - (-287 - (-180 - 134)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 bigger than -59?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 12359 less than -6149?\nAnswer: -18508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*c**5*i**3 - c**5*i**2 - c**2*i**3 - 65*i**3 wrt c.\nAnswer: 840*c**2*i**3 - 60*c**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 15*s**2 - 17*s + 48. Let n be h(14). Let d(q) = 89*q - 126. Is d(n) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.2 times 0.58777?\nAnswer: 53.016854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*l + 47. What is the lowest common multiple of 314 and l?\nAnswer: 3454","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 6 + 2 + 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, j: 1, m: 1, d: 1, e: 3, w: 1}. What is prob of sequence mt?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o**3 + 3*o**2 + 14*o - 5. Let v(f) = f**3 - f**2 - 5*f + 2. Give -11*v(c) - 4*z(c).\nAnswer: -3*c**3 - c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/(-65)*-55*5\/(-10)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3\/9)\/(7\/357). Suppose -27 = 2*j + 5*s, 2*j + 6*s = 3*s - q. Which is bigger: -34 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1251735331?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kgff when four letters picked without replacement from fffgkffgffgfgfffgfg?\nAnswer: 11\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 15*u - 9. Let o be i(4). Suppose -191 = -4*v - 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: Calculate prob of sequence ggg when three letters picked without replacement from ggggg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*k**2*n**4 + 1427*k**2*n**2 + 662*k**2*n - 329*n**4 - 7*n**3 wrt n?\nAnswer: 168*k**2*n - 7896*n - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24667\/72 - -3080\/9. Which is the closest to 2\/11? (a) 2\/23 (b) x (c) -3\/5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**4\/24 - q**3\/3 - 3*q**2. Let o be a(0). Does 2 divide -1*(o + 3) + 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 26 - -50. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22721066 is divided by 337.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5420 divided by 2.\nAnswer: -2710","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -50404 + 5?\nAnswer: -50366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -1a390?\nAnswer: 1a393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 1010*u**2 + 22*u + 1. What is the thousands digit of x(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -3*q + 4*j, -2*j + 0 = 10. Let i be 2\/(q\/38*-4). What is the highest common divisor of 76 and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*i**3 + 7347*i**2\/2 + 3624*i + 105\/2 = 0.\nAnswer: -35, -1, -1\/68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 5 = 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. Suppose -5*q = 3*d - 16, 6*q - i*q + 4*d = 12. Suppose -4*r - 20 = -2*l, 5*l = q*l + 2*r + 22. Solve b - l = -2*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31404 to the power of 1\/3, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 225 and 855.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0, -10, -3, 1.6?\nAnswer: 1.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 12*c**2 - 57*c - 69. What is the remainder when 53 is divided by k(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 8*t**2 - 4. Suppose 2*o = -2 - 2. Let c(a) = -7*a**2 + 3. Let y(h) = o*g(h) - 3*c(h). Calculate y(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -17*v - 1. Let g be p(-2). Suppose -4*k + 0*k + g = u, 0 = -k + 4*u + 21. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11114 (base 5) in base 12?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 161\/8, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (44\/42)\/(13*(-4)\/12) and 41\/13?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (97 - 85) + 12 - (-1 - -4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of p**4\/24 - 27*p**2. Let q(r) = -14*r - 2. Give q(n(u)).\nAnswer: -14*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + b - 2. Let u be w(-3). Let q(i) = -i**2 + 7*i - 2. Let y be q(8). Let c = u + y. Solve -a - 5*k = -6*a - 20, 5*a - k = -c for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*q - 19*q + 18*q)*(26*q**2 + q**2 + 17*q**2) + 6*q**3 - q**3 - 3*q**3.\nAnswer: -526*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4603*n - 9871*n + 4409*n)*(1 + 0 + 0) + 2*n + 3*n - 4*n to the form d + o*n and give o.\nAnswer: -858","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m - 2*m)*(4*m**2 - m**2 + 3*m**2) - m**3 - 2*m**2 + 2*m**2 + (0*m - 3*m + 4*m)*(7*m + 738 - 738)*(-4*m + m + 0*m) + 2*m**2 - 2*m**2 - m**3.\nAnswer: -29*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and 3371.\nAnswer: 6742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 298, -0.0151, -0.9, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of 0*u**3 + 5\/12*u**4 + 0*u**2 + 163*u + 0. Let v(i) = 18*i + 2. Give v(w(h)).\nAnswer: 90*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a*d**3*q**2 + 2*a*d**3*q*v + a*d**2*v - a*d*q*v - 3*d**3 - 12*d*q + 858*q**2*v wrt q?\nAnswer: -4*a*d**3 + 1716*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1428 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 2988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*o**3 + 0*o - 1132 - o + 1132.\nAnswer: 9*o**3 - o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36737260?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -12 + 15 + -21.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3336*a**3*w - 8903*a**2*w + 66306*a*w + 7*a - w + 5 wrt a.\nAnswer: 20016*a*w - 17806*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2. Let k = 2 + 0. Let c(z) be the third derivative of z**5\/60 - z**3\/6 - z**2. Let o(d) = 2. Let r(t) = k*c(t) + o(t). What is r(n(s))?\nAnswer: 2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 - (-127 - -117)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -170595*a + 1784475*a + 2412172*a.\nAnswer: 4026052*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -1\/15*p**5 + 4*p**2 - 1\/120*p**6 + 0*p - 1\/12*p**4 + 0 + 2\/3*p**3. Does 15 divide h(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1022 + (-2 - -12)*(-22)\/(-55). Let q = f + 1421. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -17.8.\nAnswer: 7.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lnlnllnvllvnlnn. What is prob of sequence nv?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 57. Let r be (n - 0)\/(-2) - 1. Solve u + r = p + 2*u, -2*p - 3*u + 20 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -5*w**3\/4 + 5*w**2 - 5*w\/4 - 15\/2 = 0.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64*d + 9*d**2 + 37*d**2 + 11*d**2 - 53*d to z*d + k + c*d**2 and give c.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6055607*f**3 - 6055614*f**3 + 12111225*f**3.\nAnswer: 4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6937280 by 10.\nAnswer: -693728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + -53. Suppose 613 = z*y - 1837. What is y rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - q = 32, 5*q - 4278 + 2169 + 2133 = 3*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55524 divided by 6.\nAnswer: 9254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -45 + 65. Let q(o) = -2*o + 2. What is the smallest common multiple of z and q(-7)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**6*r)**(2\/21)\/(r**13\/(((r*r**4)\/r)\/r)) assuming r is positive.\nAnswer: r**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 2*b**2 + 3 - 5 + 4*b - 2*b**4 + 0*b**3 + 13*b**3 to the form t*b + f*b**4 + z*b**3 + a*b**2 + v and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/((1 + 3\/6)\/(-3)). Solve 4*u - o = 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a2da (base 14) in base 7?\nAnswer: -614463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*(-45)\/(-5))\/((6\/(-3))\/2).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-14) + (-368)\/322. Which is the closest to 1\/9? (a) d (b) 2\/7 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75680 divided by 15?\nAnswer: 15136\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4986131 is divided by 376?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 109, 177, 245?\n\"Answer: 68*l + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 66236.\nAnswer: 198708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvcvvvcvvvxcc. Give prob of sequence cvv.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5850115um in millimeters?\nAnswer: 0.0005850115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 387 and 215.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.34 - 11.04. What is the smallest value in 10, -0.1, v, -0.03?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -219334248*o**3 + 184*o**2 - 8249*o - 11 wrt o.\nAnswer: -1316005488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-15)\/(-6)*(-140)\/(-25). Suppose -3 = -3*m - 2*a, l = -2*m + 2*a + 2*a. Sort 4, -8, m in increasing order.\nAnswer: -8, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 6 = -6*m - 2*n, -5*n + 15 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.44127381 to three decimal places.\nAnswer: -82.441","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 304 + -157. Suppose -3*m - 6 + a = 0. Does 8 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3fb9b4 (base 16) to base 13.\nAnswer: -b32bb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 550 + -386. Calculate the remainder when j is divided by 55.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1522 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((5 + -4)\/(2\/(-6))). Let k(d) = -d**3 + d**2 - d + 7. Give k(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/(121\/11)*-3*4\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -29.782 greater than or equal to -4879?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 2 = 0, 55*f = 53*f + 4*w for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 154421761553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1443 - 2014 + 327 - 463)*(-2 + 4 + 0)*(-3*p + 2*p - p) as v*p + m and give v.\nAnswer: 14372","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 400 and -107.4?\nAnswer: -42960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 7*x**3 - 5*x**2 + 5*x - 2. Let b(j) = -j**3 - j**2 + j - 1. Let r(f) = -6*b(f) - i(f). Give r(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*v = h - 6, 138141*h - 138143*h = 2*v + 36 for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2, -1200, 4, -3, 59, 5 in descending order.\nAnswer: 59, 5, 4, -2, -3, -20, -1200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.1 - -7. Let g = 4.88 - -0.12. Let t = -8 + g. Which is the nearest to -1? (a) u (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 2*i + 11. Let o be (-114)\/24 - 3\/i. Let r(m) = m**3 + 4*m**2 - 7*m - 4. What is the units digit of r(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -515 + 633. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12134 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkvktvtkvtkkvkvk. What is prob of sequence vvvt?\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 4*g**2 - 3 - 6*g**2 + 4*g**2 in the form l*g + v + c*g**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.8 - 1.7. Is d at most as big as 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -2\/5, -91?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*p - 4 = 0, -2*w - 3 = 5*p + 3. Let n(k) = k**3 - 2*k**2 - 2*k + 1. Let z be n(w). Let i be (z\/4)\/(1\/(-4)). Solve -4*h + 3*h - i = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -190 + 193. Solve -4 = r*c + 8 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -218, -1029, -2380, -4271, -6702, -9673?\n\"Answer: -270*l**2 - l + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 279335.1m to kilometers.\nAnswer: 279.3351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 2*d**4\/15 - 8744*d**3\/15 + 637146*d**2 + 8744*d\/15 - 9557192\/15 = 0.\nAnswer: -1, 1, 2186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 + -2136\nAnswer: -2136.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -201213 less than 1652.7604?\nAnswer: 202865.7604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**5\/12 + a**4\/3 + 7*a**3\/6 + 66*a**2 - 3*a. Give q(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1397.6 + 1376.974. What is i rounded to zero dps?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.8 + 1. Let m = 0.0957 + 0.0095. Let u = 0.0052 - m. Put -2, q, u, -1 in descending order.\nAnswer: q, u, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 39315\/(-300) - ((-4105)\/100 + 41)\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -341*n = -7534 - 2014 for n.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by (-228)\/(-15) + 16\/20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -18*n**2 - 2058*n - 773. Give r(-114).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*u - 40 = 142*u. Let l be u\/(-80) - -4 - (-1)\/(-8). Determine t, given that -22\/5*t + 8\/5*t**3 - 32\/5*t**l + 14\/5*t**5 + 4\/5 + 28\/5*t**2 = 0.\nAnswer: -1, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -209, -374, -537, -698, -857, -1014, -1169?\n\"Answer: f**2 - 168*f - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1)*1*6. Let a be (-10)\/3*m\/4. What are the prime factors of 2\/(-5) + 52\/a?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of p**2*u - 2979*p**2 - 13*p*u**2 - 2*u**3 wrt u?\nAnswer: p**2 - 26*p*u - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003186 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 24*q - 183. Solve -h = 2*c - 1, -c + h = -3*h - q for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14262.24l in millilitres?\nAnswer: 14262240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -5*f - 34, -4*u - 4*f = -5*u + 22 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3722 + 3756. Let f = -49 + 113. Calculate the remainder when f is divided by u.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5*p - p = -4, 0 = -3*p - 6. Suppose -2*l - i = -6. Solve -2*t + t**3 - 6*t + 7*t**3 + l*t**2 - 2 = 0.\nAnswer: -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.90047nm in millimeters?\nAnswer: 0.00004990047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 32651598319 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**3\/6 + 11*b**2\/2 + b. Let r be i(-7). Solve 0*u - 7 = -2*u + v, -3*u + 13 = -r*v for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 17392, 34556, 51490, 68194?\n\"Answer: -115*o**2 + 17509*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = n - 14, 5*p + 11*n = 7*n + 11. Suppose i + 0*l = 5*l + 27, 3*l + 69 = 5*i. Solve 2*f + q = -0*f - i, 3*f - p*q = -9 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhhzhhhhhh. What is prob of picking 2 h?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1296)\/(-168) - 7)*16\/(-20)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/((-12 - -9)\/(2\/(-14))). Factor -2\/7*a + 1\/7*a**2 - s.\nAnswer: (a - 3)*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2d430d + -3?\nAnswer: 2d430a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 958920769 to the nearest integer?\nAnswer: 30966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 7984872572 and -0.07?\nAnswer: 7984872572.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*l - l = -20, r - 4 = -5*l. Suppose -4*t + r + 0 = 0, 0 = b - t + 2. Let j(z) = z**2 + 5*z + 1. Let g(d) = d. Determine b*j(u) + 5*g(u).\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -5*u**5\/2 + 2075*u**4\/4 - 109765*u**3\/4 + 112965*u**2 + 1120455*u + 1561140 = 0.\nAnswer: -3, -2, 21\/2, 84, 118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 865881229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 - 1. Let a be -1 - (o + 277) - 2. Find the common denominator of (-6)\/21 + 494\/a and -63\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2913679711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 608 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21870)\/950 - 140\/(-6650).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -6, 1\/4, -7\/3, 0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 0, 5, -33, -68 in ascending order.\nAnswer: -68, -33, 0, 4, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 527*j**2\/2 + 69*j - 57. Differentiate p(u) with respect to u.\nAnswer: 527","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (166\/40 - 6\/15) + 1.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -22*j**2 - 19*j - 18. Let v(w) = 2*w**2 - w + 1. Let t(a) = -3*a**2 + 2*a - 2. Let u(i) = -3*t(i) - 5*v(i). Let g(f) = -l(f) + u(f). Is g(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 78\/11 and 6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10910\/(-30) - (-1)\/(-3). Let t(z) = -49*z**2 + 3*z + 1. Let l be t(-2). Let k = l - c. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -619502*o**2 + 5*o - 2. Let b be w(2). Round b to the nearest one hundred thousand.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 9 = 0, 44 = -3*l - 5*b - 31. Let t = l - -15. Let f(u) = u**2 + 6*u - 1. What is f(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43492939?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/53900 and -29\/924?\nAnswer: 161700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/90*(-19)\/((-2356)\/(-155))*(-6)\/(-12)?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 0.419976?\nAnswer: 0.209988","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:03 AM and 7:03 AM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2532 - 1.7468. What is the third smallest value in 4\/95, -2\/3, y, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.042 + 95.042. Which is the nearest to 0? (a) t (b) 8 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 g, and 1 p when three letters picked without replacement from pqpgbg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a. Suppose 2*z + 27 = -3*l, 7*z - 6*z - 3*l + 9 = 0. Suppose 3*u = 10 - 4. Let j(o) = -o + u*o + 2*o + 3*o**2 + 9*o. Give z*h(k) + j(k).\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2*k**2)*(-5*k + k + 3*k) - 18*k**2 + 18*k**2 - 31*k**3 to o + g*k**2 + x*k**3 + l*k and give x.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/(-45) - (-43)\/9 - -22. Let r be 24 - (o\/(-45) + 34\/(-10)). Calculate the highest common divisor of 98 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 39871, 39937, 40003, 40069, 40135, 40201?\n\"Answer: 66*x + 39805","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 30. Suppose -z*t + 6 = -24*t. Is t <= 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 14. Let n be g(-10). Let i be 2\/n - (-18)\/4. Let a(p) = p**2 - 4*p + 3. Calculate a(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 58\/10503 and -77\/18?\nAnswer: 21006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -38 - -41. Suppose -h - 100 = -4*t, -o*h - 1 - 13 = -t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-4 - 36\/(-6)). Suppose 4*w - 761 = 3*v - 0*v, -o*w = 5*v - 387. Is w a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 times 5?\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**3 + 7*y**2 + 21*y - 20. Let j be u(9). What is the highest common divisor of j and 91?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2648, 0, -3, -2067, -4 in descending order.\nAnswer: 2648, 0, -3, -4, -2067","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 4*b = 0, 0 = -4*w + b + 12000000. Round w to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 63614650 and 11.4.\nAnswer: 63614661.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1384272?\nAnswer: 2, 3, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1230051304 + -2?\nAnswer: -1230051310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 370152898 divided by -3.\nAnswer: -370152898\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c**2 + c**2 + 0*c**2 + (-10*c - 6*c + 5*c)*(5*c + 0*c + c) + 1 + 3*c**2 - 2 - 4*c**2 to the form t*c**2 + j + i*c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*u**2 + u**2 + 2*u**2)*(43*u**2 - 18*u**2 + 62*u**2) as j*u**4 + g + t*u**2 + k*u**3 + m*u and give j.\nAnswer: 609","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.13200171 - 0.132. Round j to seven dps.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (8 + -1 + -4 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the second derivative of -w**5\/20 - w**4\/4 + 2*w**3\/3 + 3*w**2 + 4*w. Let c be o(-4). Is (c + -4)\/(4\/7042) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9797*p**2 + 4342*p?\nAnswer: -19594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, p: 2}. Give prob of sequence xxxp.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -22. Let z(s) = 0*s**2 + 2*s - a*s**2 - 2*s. Let r(c) = 2*c. Calculate r(z(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -12*p + 6. Let z(t) = t**2 + 1. Let k(s) = y(s) + 3*z(s). Determine b so that k(b) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 l, and 2 i when four letters picked without replacement from iialkgly.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 179830 - 36505786\/203. Let h = 34\/29 + u. Let g = 1\/38 + 17\/76. Which is the third smallest value? (a) -2\/5 (b) -2 (c) g (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 212451197?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 3*d**2 + d + 2. Let u be r(3). Suppose -3*v = -5*p - 18, 3*v - 3*p - 1 - 11 = 0. Which is the closest to v? (a) u (b) -0.3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t**3 + t - t)*(-958 - 766 - 3732 - 1943) as h + w*t + g*t**3 + d*t**2 and give g.\nAnswer: -14798","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4404 + 4511. Calculate the greatest common factor of j and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00068317237 to 6 dps.\nAnswer: -0.000683","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 2*g + 21. Suppose -g*i + 51 = -k, 4*k + 9 = i + k. What is the remainder when 51 is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55\/3 - 20. Let v = 2.2 - 2. Let c be (-5 + 3)*2\/(-4). What is the third biggest value in f, c, v?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77*c*j*p**4 - 9*c*j - 28*c*p**4 + 2*c*p + 2*j*p**4 - 692*j*p - 5*j + p**2 wrt p?\nAnswer: 1848*c*j*p - 672*c*p + 48*j*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921 is divided by 94?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*4 - (1 + 3). Let x(k) = k**3 + 8*k**2 + k + 10. Let p be x(l). Calculate the common denominator of 2\/(12\/(-99)) + p and -5\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -48 and -9206436798.\nAnswer: -9206436846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33899605 - 33900199.00286. Let r = x + 594. Round r to three decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 4*b - 283 = 0, -5*m + b + 1162 = -m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 1 + 2)*(3 - 5 + 3) + 2 + 0 + 0)*(5*g**4 + 0*g**4 - g**4).\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 12 = 3*r, 1573*o - 2 = -6*r + 1578*o for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 0. Let g = 2.5 + -2. Let z = 0.97314 - -0.02686. Which is the closest to 4? (a) g (b) s (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13*y + 21*y**3 - 13*y)*(-2*y + 5*y - 13*y) + (-7*y**2 + 3*y**2 + y**2)*(3*y**2 - 5*y**2 + 3*y**2) as x + m*y + g*y**4 + i*y**2 + t*y**3 and give g.\nAnswer: -213","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 63 + 41 = 4*y, 3*f - 2*y - 45 = 0. Solve -8*c + 4*c + s = f, 2*c = s - 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1774595190963*s**2\/5 - 59990658*s\/5 - 507\/5.\nAnswer: -3*(769111*s + 13)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (29555540\/42)\/((-2)\/(-108)). Suppose -5*p + 5*j = 95000020, -2*p - u = 4*j + j. What is p rounded to the nearest one million?\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 1010?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 33343834?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/4 of a litre?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3422424 (base 5) in base 2?\nAnswer: -1110111000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 9*f - 748. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from krssrkmurrs. Give prob of sequence mkr.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 179 = -4*p + 4*o + 187, -2 = -3*p + 5*o. Put -10, 2, -4, -13, p in increasing order.\nAnswer: -13, -10, -4, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u - 31. Let d = 41 + -46. Let k be s(d). Let y(b) = -8*b - 5. Let l(q) = -7*q - 4. Give k*l(z) + 5*y(z).\nAnswer: 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -851 (base 13) in base 5?\nAnswer: -21133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.36937 * -20692\nAnswer: -7643.00404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.4 times 0.3?\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10307 - -10311. Let t = 26 + 1. Put 1, t, 0, h in ascending order.\nAnswer: 0, 1, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 + (-3 - -3) + 84\/3. Solve 0 = 3*p - 2*l, 3*l + 10 = -3*p + t for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 453587 (base 9) to base 5\nAnswer: 32143142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-51)*(-352 - -556)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.524343 greater than 244?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 = 154*q - 128*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 52, -1869 in increasing order.\nAnswer: -1869, 0, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -290.01043 + 290. Round i to four dps.\nAnswer: -0.0104","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.4 (b) -9 (c) 0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 62271 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 89. Let s = z + 52. Let m = s - -22.99948. Round m to 4 dps.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 15 = 3*i, -3*i + 11 = 2*i + 2*g. Suppose 0*b + j = b + 1, -j + 4 = 2*b. Is b > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:06 AM and 12:15 PM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d + 6*d. Let l be d\/2*(-2)\/4. Sort l, 4, 2 in decreasing order.\nAnswer: 4, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 28, 97, 236, 469, 820?\nAnswer: 1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17890?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4892, 39223, 132412, 313889, 613084, 1059427, 1682348?\nAnswer: 2511277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-27)\/9 - 26*2\/(-2). Let j = 43 + m. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*-6.77236.\nAnswer: -40.63416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -47, 1\/6, 0, 1\/4, 0.4, 1.47, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 4 + (2 - 5 - 3)*(-117 + 29 + 11))*(-w**2 + 0*w**2 + 0*w**2 + (3 - 3 + 1)*(w + 2*w**2 - w) - 1 + 7*w - 7*w + 3*w**2).\nAnswer: 1844*w**2 - 461","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -344*v - 63*v + 22352 = 302*v - 201*v for v.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*x**3 + 107*x**2 - 107*x**2 - 1)*(5 + 4 - 1).\nAnswer: -128*x**3 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*k - 36624 = -6974. What are the prime factors of k?\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 23325*c + 6498132. Calculate q(-282).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u - 21*u - 44*u = 390 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of i**5\/5 + 778*i**3 + 10282*i - 10984. Differentiate y(b) wrt b.\nAnswer: 4*b**3 + 4668*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/(-20))\/((-5)\/75). What is the second derivative of 1046*t + 0*t**2 - j*t**5 - 1073*t + 2*t**2 wrt t?\nAnswer: -120*t**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -25032*u**3 - 25007*u**3 - 514 + 50061*u**3 + 5*u**2 + 12*u**5 wrt u.\nAnswer: 720*u**2 + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -5\/152, -2, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -11) + -11 + 0 + -6?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2899 divided by -6011\nAnswer: -2899\/6011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tw when two letters picked without replacement from {h: 2, t: 1, w: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -34*l - 22*l + 38*l + (2 - 5 + 1)*(l - 5*l + 5*l) in the form t*l + j and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -12, 5, 20, 1, -11, -31 in descending order.\nAnswer: 20, 5, 1, -2, -11, -12, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + -1)*-6 + sqrt(720) + 2.\nAnswer: 8 + 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and 48207?\nAnswer: 385656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from plppdyppllplpy. Give prob of picking 2 p and 2 l.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18595\/506 or -38?\nAnswer: -18595\/506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 - 21. Does 6 divide (1 + 8)\/((-6)\/v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -64*w + 2170 + 2235 - 8995 + 2241 + 2245 as j + a*w and give a.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - 2\/(12\/39)*-30. What is the highest common divisor of b and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/(-2)*(-2)\/(-3). Suppose j - x = -j. Solve 4*s = 4*y, j*y - 2*s + s - 6 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40 - (-66 - -25))*3\/1*-1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 11:51 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11\/11)\/(-1*4\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t = -4*u - 20, -4*t = -163*u + 164*u + 26 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5*k + 496, h + 301 = 5*k - 2*k. Calculate the greatest common divisor of 940 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20746 * 0.2\nAnswer: 4149.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-27))\/((-5)\/6).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 4*j + 8 = -42 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -72810, -291232, -655278, -1164954, -1820266, -2621220, -3567822?\n\"Answer: -h**3 - 72806*h**2 + 3*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4702 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 14*c + 45. Let d be w(9). Factor d + 8\/15*a - 2\/15*a**2.\nAnswer: -2*a*(a - 4)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145965 is divided by 234.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + 3 + ((1 + sqrt(7))*1)**2)*1.\nAnswer: 11 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2371582, -9486344, -21344284, -37945402?\nAnswer: -59289698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101002000222 - 2?\nAnswer: 101002000220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + 9 + (15 - (-21 + 10))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*u**2 - 33*u**2 + 120*u**2)*(4*u - 4*u - 2*u).\nAnswer: -136*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*f + 4 = 10*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -172040.775 rounded to the nearest one thousand?\nAnswer: -172000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4*q = -328, 34*o - q - 170 = 32*o. Suppose -11*u + 117 = o. Solve u + 21 = 8*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 989967?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**2 - 3. Let x(r) = 40*r**2 - r - 11. Give 2*w(s) - x(s).\nAnswer: -38*s**2 + s + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.7 - -5.66. What is the closest to -1\/4 in j, 3\/4, 3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -551666*v = -551838*v + 10664 for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 202.6 - 202.6. Which is the nearest to -0.1? (a) p (b) 4 (c) 87 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 4 + 27 - 3 + 1 + 11*b to x*b + t and give x.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -15, 16*t = 17*t - 12*o + 14*o + 38 for t.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6473 or -6472?\nAnswer: -6473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 - 5 + 1 + 2*i + 2 + 74*i**3. Suppose 4*t = -5*r + 25, 0 = 4*r - 2*r - 3*t + 13. What is the units digit of g(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 4*t + 9. What are the prime factors of 3\/(-15) - (t - 1428\/15)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 5*o + 394*o**3 - 37 - 67*o - 48*o**3 - 25 + 367*o**3. Let u(h) = 34*h**3 - 3*h - 3. Determine 3*j(a) - 62*u(a).\nAnswer: 31*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 + 63. Let r be (4 + (-124)\/t)*-15. Let x be 1 - (1 + -1 + -10). What is the highest common divisor of x and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -2*s**2 - 2*s + 76. Suppose -2*n + 8 = -6*n. Give a(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b**2 - 1 + 3*b**4 + 3 - 4*b**2 + 10*b**2 as w*b + v*b**2 + n + a*b**4 + l*b**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/33163191?\nAnswer: -2\/33163191","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*j**3 + 1501*j**3 - 1 + 1.\nAnswer: 1814*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 62642 to the power of 1\/2, to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 1:25 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*1 - (-108)\/18. Let r = -502 - -496. Sort r, i, -15 in decreasing order.\nAnswer: i, r, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1121 a factor of 286054467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.53 rounded to 0 decimal places?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(7) + sqrt(7)*-3 + sqrt(7) - (-3*sqrt(7) + 5 - sqrt(7))) + sqrt(42)\/sqrt(6)*4 + sqrt(49)\/(sqrt(35)\/sqrt(5)) + sqrt(7))**2.\nAnswer: -54*sqrt(7) + 576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 2140.61 and 2\/3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -69*j**2*q**3 + 5*j**2*q - 4*j**2 - 8*j*q**3 + q**3 + 2*q wrt q.\nAnswer: -414*j**2*q - 48*j*q + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o + o - 3*o + 7*o**2 - o - 2. What is the tens digit of b(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/30 - 30\/(-900). Which is the closest to -0.3? (a) 3 (b) m (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 4, -3, -10, -17, -24?\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -4*h + 4041, -8*h + 4032 = -4*h + 4*j. Suppose 3*f - 452 - h = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than or equal to -2882\/15315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -203 + 205. Let r be (1\/x)\/((-4)\/(-360)). What is the highest common factor of r and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 0.3, 5, 0.08, -0.023?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -18 and -1423832.\nAnswer: -1423850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63188 is divided by 177?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1013?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24913645 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the third derivative of 2*v**4\/3 + v**3\/6 - 7*v**2. Let b(d) = -32*d - 3. Let o(x) = -4*b(x) - 9*w(x). Differentiate o(u) with respect to u.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9039 or -9036?\nAnswer: -9039","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1931 - 1930.9. Let f be (4\/(-6) - 1)*-3. Let m(o) = -o**3 + 4*o**2 + 5*o. Let n be m(f). Put -3, b, -5, n in descending order.\nAnswer: b, n, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/80*4)\/(1 + (-65)\/(-25))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 - 57. Let r(v) = -v + 10. Let i be r(5). Solve -2 - b = i*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 5*n**2 - 8*n - 9. Let y be v(-6). Let k(a) = 0*a**2 + y*a**2 - 4*a**2. Let o(f) = -4*f**2 + 2*f**2 - 5*f**2 + 4*f**2. What is o(k(s))?\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 - 281 + 138 - 2*h**2.\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 0 + 6. Suppose -5*s + 3*s = -q. Is 3 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610 a factor of 40526570?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 30*b - 48. Solve -5*f + 31 = -4*x + b*x, f = x + 8 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3675*f - 334493 + 80918 for f.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5*y + 888 = 0, -5*y = 2 + 18. Let n = m - 130. Round n to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 216*u + 22*u**6 - 216*u - 9*u**2 wrt u.\nAnswer: 2640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of k**7\/15 + k**6\/30 - 45*k**3\/2 + 144*k**2. Differentiate u(t) wrt t.\nAnswer: 56*t**3 + 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 + 26 = w. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.10482374 * 10.\nAnswer: -1.0482374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (564\/(-2976) - 10\/(-155))\/((-32)\/128)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 1:38 PM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -90\/11 (b) -20 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a = 9*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*n - 5*n + 11*n to the form f*n + z and give f.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*i - 70. Let w be 38\/i - 8\/(-28). Suppose q - 19 = w. Calculate the highest common factor of 55 and q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -2*j**3 + 2*j**2 + 6*j + 1. Let r be n(3). Let b = 20 + r. Suppose 5*i = b*d, -i - 2*d = -4*i - 1. Solve i = -2*y + 1 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/1640 and -113\/79150.\nAnswer: 12980600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 17\/(-36) - 14\/(-63). Which is the smallest value? (a) -4 (b) s (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 + 31*o - 19. List the prime factors of q(24).\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 318, 1330, 3036, 5442, 8554, 12378, 16920, 22186?\nAnswer: 28182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84963 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.55 to one dp.\nAnswer: 18.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -1130*q - 1156. Let j(m) = -377*m - 386. Let x(i) = -8*j(i) + 3*s(i). Differentiate x(n) with respect to n.\nAnswer: -374","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 f when four letters picked without replacement from jsfssfssjssffjj?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of 17*o**3\/2 - 29*o**2 + 37*o - 1. List the prime factors of n(14).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 23 in 1\/7, -2\/67, 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.1 = -2226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 38*x - 34*x + 684 = 0, 0 = z + 3*x - 114. What is the greatest common factor of z and 528?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11230, -11227, -11222, -11215, -11206, -11195, -11182?\nAnswer: -11167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/19, -509, -0.053, -2 in descending order.\nAnswer: 4\/19, -0.053, -2, -509","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -371 = 10*r - 121. Let f be r\/(-11 + 6) - (-1 + 2). Solve 12\/7*d**2 + 6\/7*d**3 - 6\/7*d - 9\/7*d**f - 3\/7 = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 195 and 7293?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/40 of a kilometer?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 + 59 + (-2 - 0).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 192502, 769961, 1732386, 3079777?\nAnswer: 4812134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112\/3 + 37. Let n = -22544 + 22539. What is the second smallest value in n, z, 1\/4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -8*j**2 - 230*j - 163. Let w be f(-28). Solve 2*g = h + 10, -h = -w*g - 2*h + 11 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02089 rounded to 3 decimal places?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*(-2)\/(-4)*26\/39. Let j be 3*1\/p*-1. Solve -b + 2 = -j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - -1) + (3 - (-20)\/(-5)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 + 11 = -h. Let y = h - -25. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*z - 3*z + 1, -3 = 2*z + 3*c. Calculate the smallest common multiple of 1 and z - 1\/(3\/(-18)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2153 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 12421113 - -30?\nAnswer: 12421143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - -16.64.\nAnswer: 25.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8, -16, -24?\n\"Answer: -8*q","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -2*w + 14, 2*o - 10239*w + 10235*w = -12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.1 + 0. Let w = 0.02 - -0.38. What is the closest to z in 4, w, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4532230 is divided by 4260.\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 + 4*i**2 - 5 + i**2 + 0*i**2 - 3*i**2 + (-i + i + 7*i)*(2 - i - 2) + 4 - 2*i + 4 - 18*i**2 - 6.\nAnswer: -23*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times -3453011\nAnswer: 1381204.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 = -x + 431. Suppose -8*y - x = -9*y. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5811654058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -n**2*r**2 - 21*n**2 - 521588*n*r**2 - 189268*n*r - r**2 wrt r.\nAnswer: -2*n**2 - 1043176*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 PM and 7:05 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of 2*b + 0 - 1\/3*b**3 + 1\/270*b**5 + 0*b**2 + 0*b**4 + 1\/1620*b**6. Let z(g) be the second derivative of c(g). Factor z(h).\nAnswer: 2*h*(h + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 + 913*z + 103950. What is y(-215)?\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -188471684*g**2 - 184659300*g + 2 wrt g?\nAnswer: -376943368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**6\/30 - 67*j**5\/5 - 413*j**3\/3 + 232*j + 1. Find the second derivative of i(f) wrt f.\nAnswer: 12*f**2 - 1608*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 - 2*y)*(-3*y + 7*y - 2*y) + 6*y**2 - 10*y**2 - 48 + 2*y**2)*(21*y + 5*y + 44*y) in the form c + j*y + g*y**3 + w*y**2 and give j.\nAnswer: -3360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/15)\/(60\/50). Let d = 1406 + -1406.1. Put d, 0.4, -1, v in descending order.\nAnswer: 0.4, d, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -257176074 - 0.1.\nAnswer: -257176074.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 g, and 1 l when four letters picked without replacement from {l: 1, g: 2, j: 6, u: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -198, -340, -550, -834?\nAnswer: -1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 + 6*i**2 - 8*i - 34. Let v be t(6). Suppose -3*k + 5*j + 263 = 0, 5*j + 75 + v = 5*k. What is the smallest common multiple of 30 and k?\nAnswer: 810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3916\/732 - 3) + -3. Let b = 1\/61 - q. Suppose -2\/3*g**3 + 0 + 8\/3*g**2 + b*g - 8\/3*g**4 = 0. Calculate g.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2774.6461934 + 2918.64619741. Let s = j + -144. Round s to 7 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2756537 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16570212 is divided by 3314042.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y + 7. Let w be f(-6). Suppose -3*v + s = 20, -v + 5*s - 5 = 11. Let r = w - v. Is r < -2\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.3, 0.2584, -0.01, 3?\nAnswer: 0.2584","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c - 13 = 7. Suppose 0 = -2*x - 2*h + 12, 5*x + 2*h - 26 = 13. Let v = -7 + x. Solve 0 = 2*l - 5*m - 5 - v, -c*m = -2*l - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2)\/((-4)\/(-608)). Suppose -894 - h = -y. Round y to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hk when two letters picked without replacement from {i: 1, k: 2, b: 10, t: 5, h: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 288\/37 <= 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -r + 24. What is the least common multiple of r and 9?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12139 + -12138. What is the fourth smallest value in -0.1, -2, u, 2\/3, 200?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8416261ml?\nAnswer: 0.0008416261","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 108223653 divided by 3?\nAnswer: 36074551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -18*i - 84, -3*p = -i - 7 + 15 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.15271991*-0.5\nAnswer: 0.076359955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**4*k + b**4*r*u - 6*b**3*k**2*u + b**2*k**2*u + 2*b**2*k*r + b**2*k*u - 2*b*k**2*u + 4*b*r*u wrt b?\nAnswer: 120*b*k + 24*b*r*u - 36*k**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -k**5\/20 - k**4\/3 + 3*k**2\/2 + k. Let g(r) = 4*r**3. Let t be g(-1). List the prime factors of i(t).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1164)\/(-18))\/((-2)\/(-3)). Suppose -3*v = -5*t - v + 7, 0 = -4*t + 5*v - 8. Suppose t*f - c = 209. List the prime factors of f.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60711 and 5841.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -3\/17, 8\/3, 5, 0.1 in increasing order.\nAnswer: -2, -3\/17, 0.1, 8\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 4 = 6*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 + 87 + -22 - -94.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 551 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: Three letters picked without replacement from qwwqivzvqw. Give prob of picking 1 z, 1 v, and 1 w.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366038 is divided by 18271.\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 0 + 3, 3*f + d + 18 = 0. Sort f, 26, -1 in increasing order.\nAnswer: f, -1, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 142 - 80. Does 21 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 589166499?\nAnswer: 3, 196388833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 5*w + 12, 12*w - 7*w + 30 = 5*j for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4347572 is divided by 115?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(-14) + 2\/(-4). Let m = -3.2 + 3. What is the closest to l in m, 0.5, -2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - n = 4*x + 8, 5*n - 20 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 94.4 times 0.8?\nAnswer: 75.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300303?\nAnswer: 3, 61, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 10:39 PM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the third derivative of -d**2 + 0*d**3 + 0 + 0*d - 1\/12*d**4. Let l(p) = 2*p. What is z(l(n))?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 110 = 5*b. Let i = b + 26. Solve 2*d = 4*f + 28, 0 = 2*f + 5*d - 0*d - i for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22120309.\nAnswer: 193, 114613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 79666193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1053 + -41062\/39. Find the common denominator of g and -81\/4.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6731.000010102 + 6731. What is f rounded to 7 decimal places?\nAnswer: -0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 39 = 3*y, 0 = 5*y - 2*q + 3277 - 3342 for y.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, f: 2}. Give prob of sequence ff.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(325) + sqrt(325)*-2)**2 - sqrt(325)) + -3.\nAnswer: -5*sqrt(13) + 322","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 11. Let l(r) be the second derivative of -r**4\/6 + 17*r**3\/6 - 10*r**2 - 29*r. Let o be l(8). Calculate b(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 0 + 6 - 3448*g.\nAnswer: -3448*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 45, 43, 39, 33?\n\"Answer: -q**2 + q + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-10)*(-65)\/(-3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121306 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -457239 - -1371718\/3. Factor 176868*y - 5202*y**2 - 2255067 - a*y**4 + 68*y**3.\nAnswer: -(y - 51)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715 a factor of 7143287112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = d + 12, 2*d - 7*a + 72 = 6*d + 74 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70*-12*9\/108*(-3)\/6?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -11, -904820?\nAnswer: -904820","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 296.1438 months?\nAnswer: 24.67865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmrlmlmbrrrrrfbrmm. What is prob of picking 2 m and 2 b?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -309040 or -1236155\/4?\nAnswer: -1236155\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1591 + -1589. Solve -16*j + m*j - 65 = x, j - 20 = -5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 7936203?\nAnswer: 158724060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5.85787 and -0.2?\nAnswer: 5.65787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in eleven tenths of a gram?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -90.75 + 29.75. What is the closest to 8\/5 in c, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 4*g = -9*g. Let x = 0.21 + -0.01. Suppose 3*z + 6 = 15. Which is the closest to g? (a) z (b) x (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 715 = 3*q. Suppose -q = 5*k + 12. Let x = k - -50. Is x a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(21\/(-1176)*14).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is b0776 (base 13) in base 10?\nAnswer: 315451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 + 3*i**2.\nAnswer: -3*i**2*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 + 2 = 12*d. Sort 65, d, 4 in increasing order.\nAnswer: d, 4, 65","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 2. Let u be ((-4)\/(-5))\/(2\/20). Let i be a(u). Let b(g) = -g**2 + 11*g + 11. What are the prime factors of b(i)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k + k - k)*(5*k + 0*k - 9*k)*(-2 - 3 + 3) as q*k**2 + i*k + u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 24603?\nAnswer: -2460.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -2*w. Factor g**4 - 15*g**3 - 6*g**4 + 10 + 19*g - w*g**2 - 4*g.\nAnswer: -5*(g - 1)*(g + 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 + 10 - 24 - 3*o + o - 5*o + 2*o + (4 - 1 - 1)*(4*o - 3*o - 3*o) + 0*o + o - 3*o + o - 3*o + 4*o as u + q*o and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*a + 80 = 37*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b**2 + 2*b + 2. Let a(h) = 7*h - 3. Let y be a(1). Let d(f) = 7*f**2 + 3*f + 3. Let i(v) = -5*v**2. Let r be i(1). Determine r*w(q) + y*d(q).\nAnswer: -2*q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(1\/3))**49)**(2\/41))**(2\/53) assuming j is positive.\nAnswer: j**(196\/6519)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570*f**2 + 29*f - 4*f**2 - 29*f.\nAnswer: -574*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 108 and 1440?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.858 plus 0.45416?\nAnswer: -1.40384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0801648 weeks to microseconds.\nAnswer: 48483671040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*f - 8857 = 34374. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -73. Let z(o) = o + 223. Calculate 11*k(l) + 4*z(l).\nAnswer: 4*l + 89","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h - 3. Suppose -j - 4*j + 15 = 0. Let v(l) = l + 2. What is j*p(q) + 4*v(q)?\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -32 - -43. Calculate the remainder when 41 is divided by t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-3))\/((-3)\/18). Suppose -4*v = s + 3*s - 52, 5*v = -a*s + 53. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u - u + u - 6*u to o*u + a and give o.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 36897336 to the nearest integer?\nAnswer: 333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 6 + 0 = 0. Let w(p) = 3*p - 2*p + 0*p - j*p. Let c(m) = 4*m. Calculate c(w(v)).\nAnswer: -20*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 172?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1260 and 23620.\nAnswer: 1488060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -32. Suppose 5*z - 25 = -0*z. Let o = x + z. Which is the smallest value? (a) -1 (b) 4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000345948 to four dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 3*k**2 + 276*k - 279 = 0.\nAnswer: -93, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 18*q + 14. Let c = 1053 + -1070. Calculate l(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (96\/60)\/(2\/15). Factor 12*z - 39 + r*z**2 - 3*z**3 + 5 - 14.\nAnswer: -3*(z - 4)*(z - 2)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 173402 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 360*r**2 + 122*r - 43889. Calculate s(360).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1797, -3602, -5443, -7314, -9209, -11122, -13047, -14978?\nAnswer: -16909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -794 + 6672. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 342 and 2595248.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 - t**2 + t. Let g(q) = 5. Let i(x) = -4. Let c(l) = 5*g(l) + 6*i(l). Let y(d) = 2*c(d) + 2*p(d). Factor y(j).\nAnswer: -2*(j - 1)*(j + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*m - 112146 = 0, 5*m + 70367 = 3*a - 97856. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1347.4789 * 17.\nAnswer: -22907.1413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5176 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 5*u**2 + 3. Let n = 13 + -9. Suppose 2*b = 14 - n. Let g be c(b). Solve -g*k - 12 = -0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 5, i: 4, h: 3}. What is prob of picking 2 h?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19 from -5909.\nAnswer: -5928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2\/295 - -596\/885. What is the biggest value in 0, c, -1\/49, -3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1575967210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 24?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3*g = 66, 0*g = -5*i + 4*g + 63. Let s be (i\/(-2))\/(2\/(-4)). Suppose 5*t - s = -0*t. Solve t*o = 5*o + 8 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 2*o = -804. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -16 (b) 1 (c) -2\/7 (d) -1\/29 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1333 at most -1338?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 at most -10.815369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3\/5 (b) -0.1 (c) 0.1 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5290804245 + 6.\nAnswer: 5290804251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.305 + -6.205. Which is the nearest to g? (a) -1\/9 (b) 0.5 (c) -0.2 (d) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -1\/3 (c) 4\/5 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/736 and 81\/21896.\nAnswer: 87584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00145 plus 78.1238?\nAnswer: 78.12525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 999.9375 centuries?\nAnswer: 99993.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101 - 11010111100011100?\nAnswer: -11010111100000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 28359137 to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**2 + 2*x + 5*x**2 - 5*x**2)*(5 + 4*x - 3 - 3*x).\nAnswer: -6*x**3 - 10*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + d + 16. Let m be d\/(-3)*(-5)\/(-20). What is the second smallest value in -1\/5, m, -27?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3912584591 and 102.\nAnswer: 3912584693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 10*u**3 + 76*u**2 - 17*u - 20. Let t(w) = -3*w**3 - 25*w**2 + 6*w + 7. Calculate -6*c(k) - 17*t(k).\nAnswer: -9*k**3 - 31*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 60769403 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 4*i + 2*v - 24, 0 = -2*i + 2*v + 20. Let g be 95\/(-38)*i\/(-70). Find j, given that g*j**2 + 2\/7*j**3 - 4\/7*j + 0 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least 2856\/491?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2678945 to the nearest integer?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -3450434053?\nAnswer: 3450434061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21873.6036 rounded to the nearest ten?\nAnswer: 21870","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23881, 23967, 24051, 24133?\nAnswer: 24213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*z**3 - z**3 + 4*z**3)*(854*z + 976*z + 63*z) to b*z**2 + h*z**3 + o + v*z + p*z**4 and give p.\nAnswer: 1893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -428\/2344271?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4251165 to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9 and (-7)\/((-1 + -4)\/5).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*p + 8088 = 0, -4*s - p + 6477 = -0*p. What is the greatest common factor of 40 and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 18 - 10. Is h a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(2 - 2 + 2*v**2) - 2*v**2 + 0*v**2 - v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.4, -6, 1196, -2 in ascending order.\nAnswer: -6, -2, -0.4, -2\/7, 1196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -500 and 0.1?\nAnswer: 500.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 32450034 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108\/340 + 2\/(-17).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1527 and 5523159?\nAnswer: 1527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of r**5\/60 - 14*r**2. Let o(s) = 22*s. Give c(o(l)).\nAnswer: 484*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 AM and 7:25 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 14*g - 12. Let s be v(-13). Let k = 385002198076\/4277 + -90016881. Let u = k + -1\/329. Is s >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4)\/(((-3999)\/6364)\/(-31))\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1686478.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l - 2. Let j be m(-2). Suppose 0 = -j*o + 12. What is the lowest common multiple of 10 and o?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 132 + 17235?\nAnswer: 17367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1490? (a) -0.3 (b) 0.99 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 6) + (-1 + (-7 - -1) - 0)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -675379217 - -0.30597?\nAnswer: -675379216.69403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(315)\/sqrt(9)*-3 - -4*sqrt(4235))\/(6*(-2*sqrt(405) + sqrt(405))*4).\nAnswer: -41*sqrt(7)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8\/25 of a millennium?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136 = -192*v + 175*v. Solve -v = -2*w + 8*l - 10*l, 0 = w - 5*l + 14 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 21450, 42900, 64352, 85806?\n\"Answer: h**2 + 21447*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*i - 5409 - 8758 - 10241. Put -3, -1, i in ascending order.\nAnswer: i, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 353*j - 345*j + 2*j**2 - 2)*(-j**3 + 0*j**3 + 6*j**3).\nAnswer: 10*j**5 + 40*j**4 - 25*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1\/2*22*60\/1320?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 4. Let r = y + -2. Let p = -0.07 + -0.03. Is p less than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -166.6660129 - -166.9675. Let y = i + 1.0185699. Let t = y + -1.32. Round t to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 0.2. Let g be 1 - 4\/(180\/39). What is the second smallest value in 1, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 950 = -9*f + 50*f + 9*f for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 - -15. Suppose -14 - k = -r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 43*y**4 + 25 + 36*y**4 + y - 77*y**4 in the form b + h*y + f*y**2 + c*y**3 + j*y**4 and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are 18521 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 111314771522 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770?\nAnswer: 2, 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -273254*p**3 - 2*p + 546518*p**3 - 273261*p**3 - 25*p**2 - 1 + 16*p in the form j*p + l*p**3 + x + v*p**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*p + 22*p + 2*s = -71, -5*p = -2*s - 117. Which is the smallest value? (a) p (b) 2 (c) 3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -1572*z - 2003. Is v(-6) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 249745 and 1004.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 252 by 12.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/1221 and 113\/24551054.\nAnswer: 73653162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -233\/5 - -761\/10. What is the common denominator of g and 23\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.651, 5, -91, 0, -1.1, 3, -2.\nAnswer: -91, -2, -1.1, 0, 0.651, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1581*d + 397*d + 403*d + 392*d + 392*d.\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28488 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -333 - -342. Suppose -5*q + 3 = -62. Let n = q - g. Solve n*w + 21 = 4*i - 3, -5*w - 4*i = 12 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 56407, 56543, 56679, 56815?\n\"Answer: 136*d + 56271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -2*r + 444, -5*s - 20*r + 753 = -21*r. Calculate the greatest common divisor of s and 190.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000004679236 rounded to seven dps?\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*n**3 - 3*n + 0 - 2*n**4 + 17*n**3 + 0 to y*n**4 + m*n**2 + b*n**3 + g + u*n and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2*g**2 + 3 + 3 + 2.\nAnswer: -2*g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 30120524809 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -673089 >= -673117?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2413645 and 35?\nAnswer: 16895515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 0.03629?\nAnswer: 0.018145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 377405?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from {p: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -3. Suppose 4*b - 1 - 3 = q. Let c = 12 + b. What is the remainder when c is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3123 divided by -9.\nAnswer: -347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 2 - 32 = 0. Suppose a*n - 2091 = -2*x, 2*n + 0*n = 3*x - 3089. Is x a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/3)*b)\/b)\/b**(-7))\/(b*b**(-1))**29 assuming b is positive.\nAnswer: b**(20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 56, 101, 146, 191?\n\"Answer: 45*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -1. Let u(i) be the third derivative of -i**4\/8 + i**3\/6 - 13*i**2. What is -2*g(m) - u(m)?\nAnswer: 3*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(128))**2 - sqrt(2)*1*5) + -2.\nAnswer: -5*sqrt(2) + 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6d62 - c11a?\nAnswer: -1507c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 8:09 AM?\nAnswer: 1:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 102206855 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/414 and -22\/27860061?\nAnswer: 167160366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16.56 + 17. Let r = k + 0.06. Put -1\/7, r, -0.5 in decreasing order.\nAnswer: r, -1\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -622 + 621. Which is the nearest to p? (a) 2\/15 (b) -4 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 9 = -3*o, 0 = 3*j + o + 3*o - 12. Let m(r) = r + 5 - 4*r + 2*r. Let y be m(j). Solve 0 = x + 3*a - 10, 0 = -y*x + 2*a - 4*a - 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*z**4 - 18*z**4 + 27*z**4 - 548*z**2 + 74*z**2 + 1505*z wrt z?\nAnswer: -24*z**2 - 948","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mybm when four letters picked without replacement from bbmwbmymgmmymwmmbwm.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31 or 1620?\nAnswer: 1620","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-45)\/(-30)*4\/(-6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 622487?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38 and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -21340.371.\nAnswer: -21340.571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -26*y**6\/15 + y**5\/20 - y**3\/3 + 7*y**2. Let r be k(-2). Let a = -625 + r. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/1037 or 1?\nAnswer: -12\/1037","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) -5084.1 (c) -1.34 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -133*q + 2432 = 24 - 253 - 797 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - 2b?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 2*b = -3*i - 19, 423*b = 4*i + 393*b + 5 - 45 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -6 + (16 - (4 - -1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55719 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -314*k - 111*k + 8653 + 2238 + 1859 for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -31, -55, -79, -103?\n\"Answer: -24*k - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/5 - -1)\/((-13623)\/(-9082))\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence majm when four letters picked without replacement from {a: 1, u: 4, i: 2, j: 1, f: 2, m: 2}.\nAnswer: 1\/5940","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 - -0.2. Let w = 2.3 + -3. Let s = 1.7 + w. Which is the third smallest value? (a) y (b) s (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.51 + 3.51. Suppose 2*t + 2 = 8. Suppose 5*q + 118 = 10*q - 4*o, 81 = t*q + o. Which is the nearest to q? (a) n (b) 1\/11 (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a49 (base 12) in base 4?\nAnswer: 1220121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (420*m + 743*m - 1530*m)*(-25 + 4*m + 25) - 2*m**2 + 2*m**2 + m**2 to the form a + o*m + k*m**2 and give k.\nAnswer: -1467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -400679, -1602709, -3606087, -6410807, -10016863, -14424249, -19632959, -25642987?\n\"Answer: q**3 - 400680*q**2 + 3*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.438369ng in micrograms?\nAnswer: 0.003438369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*590666.\nAnswer: 14766650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1416.649m?\nAnswer: 1.416649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -5156?\nAnswer: 5154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 5.9. Let k = 4.06376 - 0.06376. What is the nearest to t in 0.07, k, 0.2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -4.93. Let j = -12396.5 - -12397. Sort p, j, 0.2, 4.\nAnswer: p, 0.2, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((252\/27)\/(-4))\/((((-4)\/(-3))\/4)\/(-7))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -n**5 - 37*n**4 - 385*n**3 - 655*n**2 + 2006*n + 2312 = 0.\nAnswer: -17, -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s + 24. Let x be o(-6). Let d be 1\/(-4 + 2)*x. Let c = d + 9. Solve 4*h = -c*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -89.06554 - -5?\nAnswer: -84.06554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -7. Let u(v) = -6*v**2 + 9*v**2 + 4*v**l. Let c(s) = -3*s. What is c(u(b))?\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -150*o**3 - o**2 + 400*o + 401. Determine n(-1).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 13*g + 30. Let d be l(39). Let k = d + -532. Solve 26 = -4*r + q + 2*q, -3*q + 31 = -k*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**4 + 2*q**2 - 2*q**2 + (q**2 - q + q)*(-q**2 + 8*q**2 + q**2) + 0*q + 0*q - 2*q**4 to the form y*q**4 + c*q**3 + h + a*q + j*q**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 4*i + 8, 2*f - 2*i + 3 = 19. Suppose 5*s - 135 = 4*b + 40, 0 = f*b. Let z = s - 17. Calculate the lowest common multiple of 8 and z.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -48*n + 278. What is y(5)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.39664 + -4.99446. Let l = -4.6 - w. Round l to 4 decimal places.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 663*j**2 + 3*j + 5 wrt j.\nAnswer: 1326","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 to the power of 1\/2, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-2 + sqrt(128)) + -5 + ((sqrt(128) + 5)**2 - sqrt(128)).\nAnswer: 24*sqrt(2) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1161231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -587\/19892?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 2 - 7 = 0. Let a be 10\/((-4)\/(-12)*2). Let m(k) = k**3 + 2*k**2 - 3*k + 3. Let i be m(-3). Solve i*g = -5*b + 28, o*g + 2*b - a = -2*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 12, 0 = 3*p - 3*s - 37298 + 37304 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34715 - -106866. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - 231*h**3 + 102 - 102 + (-h**2 - 2*h + 2*h)*(-2 + h + 2) in the form n*h**3 + m*h + q + z*h**2 and give n.\nAnswer: -232","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.06, 0.1, 22, -1\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -179 - -1*(-6 - -3). Let q = r + 309. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5180762 to the nearest integer?\nAnswer: 2276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*o + 9 = -43*o, -o = 3*z. Let t(g) = g**2 + 2*g + 186*g**3 - 5*g + g. What is the tens digit of t(z)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 50\/603 and -76\/1809?\nAnswer: 1809","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1693531, 153, -3 in descending order.\nAnswer: 1693531, 153, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7432337 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 3992.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -148, -564, -1256, -2224, -3468, -4988?\n\"Answer: -138*a**2 - 2*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 181644569147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -269, -435, -621, -833, -1077, -1359, -1685?\nAnswer: -2061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - -14 - (-1 + 2) - -8) + 38.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -2. What is the remainder when w is divided by (0 + 12\/10)\/((-3)\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2508 and 5434.\nAnswer: 32604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26179, 25438, 24205, 22480, 20263?\nAnswer: 17554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the third derivative of -6*x**2 + 0*x**5 - 19\/40*x**6 + 0 + 0*x**4 - 3*x - 35\/6*x**3. Differentiate o(v) with respect to v.\nAnswer: -171*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**3 + 447*q**2 + 269*q + 100. Determine v(90).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -16 + 31. Suppose 5*n - 17 + 2 = 0. Solve -o = 4*f - n for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 6 - 5*b + 5*b - 7*b. Let w(h) = h - 1. Let p(x) = -v(x) - 6*w(x). Let m(k) be the second derivative of k**4\/4 + k. What is p(m(s))?\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(-110)*-2*(-360)\/(-72)?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 22.172449 and 3.\nAnswer: 25.172449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 - 1. Let b be p(2). Let g = 13 + b. Factor 0*u**2 + g*u + 0 + 4\/7*u**4 + 0*u**3 - 10\/7*u**5.\nAnswer: -2*u**4*(5*u - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - a + 45. Let l = 7 + a. Let w = l + 20. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (1 + sqrt(252))*-2 + (1 + sqrt(112) - ((-2 + sqrt(14)\/sqrt(2))**2 - sqrt(7))).\nAnswer: -12 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206885480.\nAnswer: 2, 5, 71, 97, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 65.99937 weeks?\nAnswer: 461.99559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + sqrt(2) + 4 - sqrt(54)\/sqrt(3) - -2*(sqrt(72) + 0))**2.\nAnswer: 120*sqrt(2) + 466","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**4 + 36*y**3 + 63*y**2 + 30*y = 0.\nAnswer: -10, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 45 = 14*f. Let z = 35\/4 - f. Which is the closest to 0.1? (a) z (b) 2\/7 (c) 1\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 375270 = -143*w + 141*w, 0 = -2*w + 3*q + 375238. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-5 - 4) - (-2 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.676137 millennia to centuries.\nAnswer: 76.76137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49783 is divided by 1213.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 - ((-19 - -43) + 14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59908?\nAnswer: 2, 17, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 3:39 PM?\nAnswer: 11:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12044 + -7133. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 45525330 and 115.\nAnswer: 45525445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.05902 decades in months?\nAnswer: 1087.0824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -1798?\nAnswer: -1\/899","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-36 + 70 - 30)*(1 - r - 1) in the form x*r + w and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-2*sqrt(462))\/sqrt(11))\/(sqrt(600)*1*6)*-2 + -2.\nAnswer: -2 + sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5 and 16355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -4*l**3 + l**2 + 3*l - 5. Find the second derivative of m(r) wrt r.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1314\/22630)\/((-6)\/2*(-2)\/(-10))\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 11:21 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a microgram in nanograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -109 - -103 - (0\/(-1) + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -41*w**2 - 136*w + 112 = 0. What is w?\nAnswer: -4, 28\/41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 11:16 PM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -589.4235 rounded to the nearest 10?\nAnswer: -590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 5. Let v be 4\/(-10) - 13\/d. Suppose -5*t - 25 = -7*g + 2*g, 5*g - 2*t = 22. What is the nearest to g in -1, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31.48 - -31.28. What is the closest to -288 in o, 1\/7, 1\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102691 is divided by 414.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 944.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 92.5, -1\/2?\nAnswer: 92.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2)\/(1312\/160 + 30\/(-25))\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 170.\nAnswer: -1\/170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1825730?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 40 = -5*u, -8*w + 2*u - 15 = -7*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -50 - -56. Let b be w\/(-15) + ((-834)\/(-10) - -1). Let z = -39 + b. Is z a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*u + 4*f, 5*f - 13 = 3*u + 7. Solve u*x - 3*o + 32 = o, 0 = -5*o + 15 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*((-80)\/(-15))\/(-16)*3?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15093688 divided by 344.\nAnswer: 43877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6067177513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -95? (a) -0.1 (b) -53 (c) 2 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 528919, 1057841, 1586763, 2115685, 2644607, 3173529?\n\"Answer: 528922*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(2\/1) + 45. Suppose -5*h - 5*n + 285 = 0, -h = -2*n - d - 29. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 + -1509651?\nAnswer: -1509652.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9384324 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.2307 and 0.1141.\nAnswer: -0.25452287","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5550 and 800680.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 5. Let j = 71 - 65. Let f(n) = n**3 - 6. Determine j*c(d) + 5*f(d).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/10 + 9\/(-135)*(6 - 12)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 198321, 198322, 198323, 198324?\n\"Answer: l + 198320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*5\/(-90) - (-7)\/(-10).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -598*h**4 - 119*h**3 - 11*h**2 - 1463*h wrt h?\nAnswer: -14352*h - 714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2243af7 - 5?\nAnswer: 2243af2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68 and 1496?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 7 = 2*r + 11, -c = -3*r + 11. Suppose 0 = -5*w + r*w + 506. Calculate the highest common divisor of w and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*5*sqrt(76) + sqrt(76) - sqrt(76) - sqrt(76) - (sqrt(76) + -1*sqrt(76))*-6)\/((sqrt(400) + 3*2*sqrt(400) - sqrt(400))*-4).\nAnswer: -3*sqrt(19)\/80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.18547758 - -8881.81532242. Let z = 8903 - r. Let c = z - 21. Round c to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -13*i**2 - 1. Calculate g(2).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 + -3. Let m = 0 + -7. Let c = f + m. Sort c, 4, 0.1 in descending order.\nAnswer: 4, 0.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-50 - 0) + (3838 - 3743)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**4\/3 - 8*t**3 - 110*t**2\/3 + 100*t = 0. What is t?\nAnswer: -5, 0, 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.29 in -4, -1\/146, 382, 9?\nAnswer: -1\/146","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111407 and 43770907.\nAnswer: 3011","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 68*x + 5153. What are the prime factors of l(14)?\nAnswer: 3, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -120, -138, -180, -258, -384, -570?\n\"Answer: -2*z**3 - 4*z - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 54245960047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 11*x**2. Let j(r) = 4693*r. What is z(j(d))?\nAnswer: 242266739*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f = 21 - 45. Let j(q) = 11*q + 2*q**3 - 1 + 7*q**3 + 0*q**3 - 4*q**2 - 6*q. Let h be j(f). What is the highest common factor of h and 59?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125900 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -5699\/89662?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -12\/5 (b) 15\/14 (c) 63 (d) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of p**8\/840 - p**6\/120 - p**3\/3 - 3*p**2. Let h(b) be the first derivative of z(b). Find the third derivative of h(w) wrt w.\nAnswer: 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*c - 66*c - 83 = g, 569 = 4*g + 33*c for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 80632? (a) -59 (b) 4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 449*z - 442*z + 49 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30511098 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: Expand (6*t**2 - t**2 - 3*t**2)*(-118*t - 32 + 79 - 117*t - 22).\nAnswer: -470*t**3 + 50*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (46 + 0 + -3 - (-24 + 9 + 24)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 140 - -2a2224?\nAnswer: 2a2364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297642762 + 6*d**2 + 297642762.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 3, n: 3}. Give prob of picking 1 n and 2 u.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14302*c**4 - 6*c**3 + 3577*c**2 - 12*c.\nAnswer: -343248*c - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00158469722 to 6 decimal places.\nAnswer: 0.001585","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 400 = 15*x - 157 - 43. Solve 3*l = 4*j - 19, -x*j = -42*j + 14 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 2 + 2)*(4 - 2 - 1)*(49 + 91 - 47)*(v + 0 + 0) to the form g*v + f and give g.\nAnswer: -186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -32*k - 59. Let q(b) = -159*b - 295. Let v(a) = 11*h(a) - 2*q(a). Differentiate v(f) with respect to f.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {r: 3, m: 2, e: 12}.\nAnswer: 33\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -d**3 - 15*d**3 - 3*d**3 - 19*d**3.\nAnswer: -38*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -144*l - 32. Let a(t) = -13*t - 3. What is -32*a(r) + 3*f(r)?\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 3\/2 (b) -6\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1377.28 minus 26134900?\nAnswer: -26136277.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 3170778?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -138, -2\/11, 16\/41, -0.2?\nAnswer: -138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.021 + -8.361. What is n rounded to 0 decimal places?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.65066 + 14.56478.\nAnswer: 21.21544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -3*o**7\/70 + o**4\/12 - 7*o**2. Find the second derivative of a(m) wrt m.\nAnswer: -108*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-135)\/210 - 8\/(-56). Which is the smallest value? (a) -1 (b) v (c) -0.6 (d) -55\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 32, 160, 374, 674, 1060?\n\"Answer: 43*s**2 - s - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34719502733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 15 = -4*q - 5, -5*a - 1 = 2*q. What is the lowest common multiple of 13 + (-2 - -4) + a and 22?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**3 - 2*u**2 - 7*u + 8. Let s be m(4). Solve i - z - 1 + 8 = 0, -s = -3*z for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and -632.\nAnswer: -632.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ikkffpllkkffffk. Give prob of picking 1 k and 1 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*w + 1\/3*w**2 + 0.\nAnswer: w*(w - 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.37 (b) 2005 (c) 4.7 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 10*w + 4. Let c(r) = -r**2 + 9*r - 5. Let s(q) = -6*c(q) - 5*o(q). Is s(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 83\/5880, 2\/13, -3\/10 in decreasing order.\nAnswer: 2\/13, 83\/5880, -3\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26176*d*f**3 - 8489*f**3 wrt d?\nAnswer: -26176*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(0 - 2) + 2. Let j be -1 - 1 - (-1 - -1). What is the units digit of j*(2*-1 - q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6963130967.\nAnswer: 13, 179, 2992321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.7 - -0.1. Let d = 0.809 - q. Round d to 2 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 11*y - 29. Let t(f) = 31*f - 88. Calculate -11*p(z) + 4*t(z).\nAnswer: 3*z - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 1. Let u(k) = -15*k + 2. Let g(y) = -a(y) - u(y). Determine g(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -136.\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 - 83 = -2*j. Suppose -5*p = 2*n - j, n + n = p + 3. Suppose -p*t + 2*o = -36, -2*t = t - o - 22. Calculate the remainder when 30 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*i - 202 = 5*h - 3*i, 19*h - 34 = 2*i + 110 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 11) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1206 divided by 26\nAnswer: 603\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 31\/5, 560 in ascending order.\nAnswer: -1\/5, 31\/5, 560","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 6 = -4*h, -4*h + 4*j = -6*h + 8. Sort 4, 2, h, 1 in decreasing order.\nAnswer: 4, 2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 2:57 PM?\nAnswer: 2:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 + 22. Let t = v + 13. Let q = t + -4.2. Put -0.02, q, 3 in descending order.\nAnswer: 3, -0.02, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -22, -4\/11, 2\/5 in descending order.\nAnswer: 2\/5, 2\/11, -4\/11, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-498)\/(-12))\/((-3)\/(-6)) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 623328.\nAnswer: 2, 3, 43, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3*g = 51538, -5*g - 32811 + 1917 = -3*h. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -2\/11 (b) 1.9 (c) 3 (d) 2\/11 (e) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5.451 + -23.3.\nAnswer: -17.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 (base 12) in base 9?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z - 4*z + 5*z + (-4 + 2*z + 4)*(0 + 0 + 1) - 2*z + 4*z - z as y*z + n and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 2\/54343015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/9)*x**6*(x**(-1\/6)\/x)\/(x\/x**(-1)))\/(((x*x**(1\/5))\/x*x**(-4))\/((x*x*x**0)\/x*x)**(1\/3)) assuming x is positive.\nAnswer: x**(667\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1505\/(-473) + (3 - 0)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*u = -0*v + 320, 4*u + 155 = -v. Let f = -16 - v. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -395.\nAnswer: 790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118894*m**3 + 118880*m**3 - 3*m + 3*m.\nAnswer: -14*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*z - 22*z = -8. Let h = -14 + 15. Let w(j) = -j. Let g(m) = -m**3 + 4*m. Determine h*g(v) + z*w(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -114 (b) -18534 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - (43 - (-266)\/(-14) - 17*1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43956477 is divided by 14652149.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34003007?\nAnswer: 263, 129289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 10) in base 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:15 AM and 11:03 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7792 or -7789?\nAnswer: -7792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(891) - -3*sqrt(891)).\nAnswer: sqrt(2)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001979688 rounded to 4 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 - 11. Sort -4, u, 1.\nAnswer: -4, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-9))\/2 + 544\/144\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-four fifths of a tonne in kilograms?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 352154 divided by -16007?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000010038 rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/(-6))\/((-1)\/(-98)). Suppose 6*s + 18*s + 2472 = 0. Let z = k + s. List the prime factors of z.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 3*q**3 + 3*q**2 + 8*q - 6. Let c(j) = j - 1. Give -6*c(h) + w(h).\nAnswer: 3*h**3 + 3*h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - y**2 - y + 1. Suppose -5 = -2*m - 15. Let n(a) = 0*a**2 - 4*a**2 + 35 - 8*a**3 - 8 - 22 - 3*a. Determine m*o(x) + n(x).\nAnswer: -3*x**3 + x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 198466*a**3 + 12032*a**2 - 5?\nAnswer: 1190796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*d**3 - 581*d - 198 - d**3 + 632*d - 3*d**3 with respect to d.\nAnswer: -6*d**2 + 51","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.5, 2\/7, -9\/2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/10)\/(26\/65). Suppose 0 = -2*v + 3*s - 35, -v - 4*s - 10 = g*v. Does v = -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 79418*f*r*s + 39935*f*r - 3*f - 706*r*s - 11*r + 3 wrt s?\nAnswer: 79418*f*r - 706*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-5 - -9)) + 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y = -2*b + 413, -422 = -y - 5*b. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/m**38)*m**(7\/5))\/(m**(3\/5)*m*m**(2\/37)) assuming m is positive.\nAnswer: m**(6983\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*a**4 + 3*a + 20*a**2 - 20*a**2)*(-7 + 7 + 2*a).\nAnswer: 4*a**5 + 6*a**2 - 4*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eaa. Give prob of picking 2 a.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*l + 808 = 2*l - 77*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 61 - 101. Let u be (-3 - (6 - 10))\/((-2)\/a). Solve -u = 2*t + 3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5360, 5438, 5868, 6896, 8768, 11730, 16028?\n\"Answer: 41*h**3 - 70*h**2 + h + 5388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1576811539\/25674 + 184250\/3. What is the common denominator of -57\/7 and d?\nAnswer: 59906","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -99\/200 + -1\/200. Is c bigger than 0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2227?\nAnswer: 17, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170) - -2*sqrt(170)*2 - -5*sqrt(170)*1)\/((sqrt(490) - (sqrt(490) - (sqrt(490) - 4*sqrt(490)*-3)))*-6))**2.\nAnswer: 425\/74529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 353594696239 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**4\/6 + 19*d - 5. Let r(b) = 61*b**2 - b. Give r(z(i)).\nAnswer: 244*i**4 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 531*v + 34848. Let k(z) = 4*z**2 - 1061*z + 69696. Let q(d) = -5*j(d) + 3*k(d). What is w in q(w) = 0?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**7)**(1\/11)\/(w*w**(-7))**(5\/2))**(-23\/2) assuming w is positive.\nAnswer: w**(-1978\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g - g + 3 - 1)*(24 + 27 + 9297*g - 75 + 24).\nAnswer: 18594*g**2 + 18594*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50452194 a multiple of 3561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 716 - 581. Suppose b*w - 102 = 118*w. Let x(k) = -k**2 - 2*k + 7. Determine x(w).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 35*a - 730. Calculate z(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15903, 24156, 32411, 40668, 48927, 57188?\nAnswer: 65451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4824359?\nAnswer: 4824359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkxxxxkllhhlhzhc. Give prob of sequence hlhc.\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6724 is divided by 18?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 13. Suppose 80 = 3*s + 59. Let l be z(s). Is l less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 0.23 (c) 2.8 (d) 0.2 (e) -0.0422\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v - 3*v + 2*v)*(2 - 1 + 1)*(-8 - 31 + 7) to x*v + i and give x.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -l + l**4 + 0*l + 2*l - 2*l**4 - 4*l**4 - 3*l**4 + (-4*l - 2*l**3 + 4*l)*(0*l - 5*l + 3*l) to the form h*l**2 + x*l + n + r*l**4 + u*l**3 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -861, -913, -1001, -1125, -1285, -1481?\n\"Answer: -18*t**2 + 2*t - 845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 144132 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35877664?\nAnswer: 2, 31, 59, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -25\/2*f**2 - 20*f - 10 - 5\/2*f**3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 8 (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 485 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 35*r**2 - 29. Determine y(-35).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -67700 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 + 13. Is 5*(-3)\/v*-14 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 AM and 6:56 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 + -8. Let k be (0 + -3)*(0 - 1). Suppose m*w + 3*c = 13, -4*w + 5*c = -k + 10. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -7*q**3 - 9*q**2 - 2*q + 7. Let u be l(-4). Let p be 4*u\/264 - 2\/(-12). Sort p, -23, -3, 2.\nAnswer: -23, -3, 2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61 is divided by 52.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16 at least as big as 0.69?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 51 + 19 + 315*v**2 + 235 + 370*v + 106*v + 5*v**3 + 139*v = 0.\nAnswer: -61, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**4\/2 + 6*k. Let l(c) = 6*c - 6*c + 2*c - c. Calculate l(t(i)).\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 9*n = 246, h + 4*n - 1424 + 1310 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and 585072.\nAnswer: 585072.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 437384176*-0.5\nAnswer: -218692088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 1:23 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342721 is divided by 551?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and -1*(3 - -1)*2\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9101 or -2\/1031?\nAnswer: 9101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 976616?\nAnswer: 2, 17, 43, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*s**2\/2 + 9*s\/2 - 9 = 0 for s.\nAnswer: -6\/7, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 49*i**2 - 11*i + 13. Let o(p) = p**2 - p + 1. Calculate 22*o(v) - 2*x(v).\nAnswer: -76*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, 11, 15, 1 in decreasing order.\nAnswer: 15, 11, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6318531763?\nAnswer: 17, 371678339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1328 and 1162.\nAnswer: 9296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 8*c - 6. Let z be (-5)\/(-3) + 1\/3. Solve 0*o = c*o + z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82.16625354 to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -10111110001101011101 (base 2) to base 6\nAnswer: -24410541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + 9*g**2 + 10*g + 6. Let k be n(10). Let j be (-2)\/((-4)\/k) + 4. Let w = -5 - -10. Solve -3*h + j = -l + 5*l, 0 = -w*l - 2*h + 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5163 + -25807\/5. Factor 0 + t*n + 2\/5*n**2.\nAnswer: 2*n*(n + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -o + 3*o - 5*x, -5*x - 15 = o. What is the third derivative of n**4 + 0*n**4 + 4*n**4 - 4*n**2 + o*n**4 wrt n?\nAnswer: 120*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xtax when four letters picked without replacement from tttttttattttttttttx.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -2*p. Let n(m) be the third derivative of m**4\/24 - 3*m**2. Let v(i) = -2*l(i) - 5*n(i). Calculate v(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 15. Let w be 4\/3*a\/6. What are the prime factors of (w + (-2)\/(-3))*3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -264513.5872 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l - b - 11, 3006992*l + 4*b = 3006991*l - 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03697 minus 63005?\nAnswer: -63004.96303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 38*z + 24*z - 2 as q + r*z and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 10*i - 80. Suppose y - 3*n - 4 = 0, -157*y - 2*n + 34 = -154*y. Determine q(y).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 150 and 721200.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 99 and 261.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1062119693.\nAnswer: 17, 29, 641, 3361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -2*d - 4. Let p be k(-4). Let o(x) = x**2 - 5*x + 6. Let v be o(5). Suppose 2*h - 1 = -2*s + 13, 4*h + 62 = 5*s. Solve -v*u + s = -p*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9\/16 of a minute?\nAnswer: 33750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + t - 3. Give w(-2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*z - 37*z + 867. Let i be (z + -52)*(-5 - 0). Solve 30 = 5*x + n, 2*n + i = 5*x - 2*n for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5499 and 6439?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2\/797 (c) 1.9 (d) -3 (e) -3\/7 (f) 16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1\/12, -0.4, 19, -0.1, -2\/331?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1080 (base 9) to base 16.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10817, -43303, -97461, -173291, -270793?\n\"Answer: -10836*z**2 + 22*z - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9747?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-299*b**2 + 192*b**2 + 282*b**2)*(55 - 100 + 64).\nAnswer: 3325*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 316418.12 rounded to the nearest ten thousand?\nAnswer: 320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -7727280311 and 0.08649.\nAnswer: -7727280310.91351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*t**2 - t**3 + 22 - 16*t**2 - 60 + 26 - 23*t**2 to o*t**3 + k*t**2 + p*t + g and give k.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/7 + 15*57\/63. Suppose -3*n - 66 = -w*n. Is 3 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:19 PM and 11:20 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -143434 + 14?\nAnswer: -143420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2608*x - 21465 = -1177*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the second derivative of u**4\/20 - 7*u**3\/15 - u**2\/2 - 14*u. Factor k(n).\nAnswer: (n - 5)*(3*n + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -40363 - -43075. Is i a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 10*h**2 - 17*h + 34. What is u(5)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 10*l + 299. Let n(o) = -2*o - 6. Determine -j(a) - 6*n(a).\nAnswer: 2*a - 263","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-1)\/1 + 1. Suppose -4*j + 5*f + 8 = b, -f = -7*j + 3*j + 8. What is the smallest common multiple of 2 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 2 = -4*q. Let c(s) = -67*s - 4. What is the units digit of c(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 9*v**2 - 8*v - 8. What is the tens digit of z(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -2. Find the common denominator of 17\/6 and (x\/28)\/(12\/182).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5014967, 10029935, 15044903?\n\"Answer: 5014968*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.175 and 8161.04.\nAnswer: -1428.182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 47*g + 4685. Calculate m(-100).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167664 + 317323 = 62*y - 230773. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 (base 4) in base 3?\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + l**2 - l. Let h(w) = -3*w**2 - 3*w**3 - w + w**4 + 1 + 4*w + 0 + 0*w**2. Let u(n) = -6*d(n) - 2*h(n). Find the first derivative of u(s) wrt s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*a - 11, -4*g + 7*g = -3*a + 15. Suppose 5*b + a*w + 5 = -2*w, 5*w = -4*b - 9. Suppose -b*k + 3*k = 0. Solve -t - t = k for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2692 - 91499\/34. Let y = -6\/17 + s. What is the nearest to y in 5, 1\/2, -0.01?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6\/((-6)\/(-15)*5). Suppose 0 = 3*k - 21 + f. Find the third derivative of -7*g**2 + k - g**5 - 6*g**5 - 6 wrt g.\nAnswer: -420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (34*u**2 + 9 - 49*u**2 + 68*u**2)*(-2 - 3*u + 2 + (-4*u + u + u)*(1 + 0 + 0)) to y*u**2 + l*u**3 + t + q*u and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2904 and 594.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 - 5*s - 3. Let n be w(-1). What is the highest common factor of 36 and n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(33\/27 + (-4)\/18). Suppose -24*t + 22*t + 6 = a. Suppose t*m + 5*y + 20 = 69, y = -2*m + 28. What is the highest common divisor of m and 143?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*k + 53 - 481 = 0, 0 = 3*f + 2*k - 655. List the prime factors of f.\nAnswer: 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 2:31 PM?\nAnswer: 1:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-126)\/54)\/((-2)\/138) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/40*-2)\/(-1). Let y = 0 - -0.08. What is the biggest value in -0.2, w, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.13 + -3.87. Put 5, b, 1\/5, 3\/7 in ascending order.\nAnswer: b, 1\/5, 3\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 268 and 46967?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-10)\/(-5))\/(14\/3871)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(1\/24*8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 582.\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -36 + 50.3. Round j to the nearest integer.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 252 - 252. Let o be 1 + 0\/(-2) - -1. Solve -c + o*c = h for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2239598 and 365897.53.\nAnswer: 2605495.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 11*j**3 - 108*j**2 + 161*j + 15. What is d(2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 351\/4 - 87. Let n = 0.3 - -0.2. What is the third smallest value in -2, s, n?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -x + 681*s - 679*s, 4*x = -2*s + 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of -39*a**6\/2 - a**5\/5 - 218*a**3\/3 + a + 195. What is the third derivative of n(d) wrt d?\nAnswer: -7020*d**2 - 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**4\/6 + 221*k. Let a(t) = -8*t. Give a(f(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -76 + 114. Let f = d - 23. Calculate the remainder when f is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 1 (c) 1\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 459 a factor of 13932848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 3)*(2*b - b - 2*b + (-1 + 4 - 1)*(-4*b + 5*b - 2*b) + 0*b - 3*b + 2*b + 2*b + 0*b - b + b - 9*b + 5*b).\nAnswer: -6*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4 + z**2)*(-3994*z - 522*z**2 + 1719*z + 2271*z) in the form p + d*z**4 + g*z**3 + s*z + b*z**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (7 - 2 - -2) - -14.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 2*k, -3*k = -6*k - 2*o + 20. Let d(u) = u - u + k*u. Let s(r) = 6*r. What is -8*d(q) + 5*s(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from {y: 3, k: 1, o: 1, d: 1, r: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26930?\nAnswer: 2, 5, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12689*b**5 - 3*b**3 + 34*b**2 - b - 365 wrt b.\nAnswer: -761340*b**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/10)\/(-1*13\/208*8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0076 or -20911?\nAnswer: -20911","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -5*m - 20. Let k(h) = h**2 - 25*h - 63. Give -2*k(x) + 7*u(x).\nAnswer: -2*x**2 + 15*x - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -122*t**2 + t + 1. Let w be x(-1). Let k = 35 - w. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22259732?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 2\/19, 0.2, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*(sqrt(13) + sqrt(13)*-2)*1 - (-2*sqrt(13)*-1 + 5)**2).\nAnswer: 114*sqrt(13) + 462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/4)*x\/(x\/(x*x**3*x*x)))**(1\/44) assuming x is positive.\nAnswer: x**(25\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -602, -2906, -6750, -12140, -19082?\nAnswer: -27582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 - 16*h + 25. Let z(i) = -2*i**2 - 8*i + 13. Let v(n) = -6*y(n) + 11*z(n). What are the prime factors of v(5)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + 201395318?\nAnswer: 201395313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.128373.\nAnswer: 0.0385119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kfs when three letters picked without replacement from {f: 1, s: 3, k: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 34*p**2. Let u be h(1). Let f = u - 21. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*n - 2*b - 7, 1 = -n - 3*b. Put 1, n, -5 in increasing order.\nAnswer: -5, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 9*d + 10. Let v be o(10). Suppose -v*t + 276 = -16*t. List the prime factors of t.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 1 = 5*b. Let t be b - (3 + 1) - -1. Let n(u) = -u**2 - 5*u - 1. Let w be n(-4). Sort t, -4, w in increasing order.\nAnswer: -4, t, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/2)\/b)**(-40)*b**(1\/2)\/b*b**0*b*b*b assuming b is positive.\nAnswer: b**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 694552 is divided by 173.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of g**2*j**2 - 11*g**2*j - g*j**2 - 124*g - 197*j**2 + j - 3 wrt g.\nAnswer: 2*g*j**2 - 22*g*j - j**2 - 124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 9675 - 17975 = 0. Suppose -7*c + t = 3*c. List the prime factors of c.\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2c - -f4?\nAnswer: c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1011 - -34235?\nAnswer: 33224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 36 + 396. Let v = d + 273. Calculate the highest common factor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 33, -0.9668, -0.2, -2\/3.\nAnswer: -8, -0.9668, -2\/3, -0.2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:37 AM and 8:23 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -4*t + 89, 408*d - 2 = 406*d for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**4 - l**4 + 3*l**4 + (-6*l**2 + 4880 - 4845 + 0*l**3 - 2*l - 2*l**3)*(4*l - 2*l - 3*l) as w*l + r + f*l**3 + s*l**2 + y*l**4 and give w.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.43 - 0.42992. What is o rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-2)\/r**6)**(-1\/58)*(r\/(r*r**(-1\/3)\/r*r))**(7\/12)\/((((r\/(r\/r**(-1)))\/r)\/r)\/r**(-3)) assuming r is positive.\nAnswer: r**(347\/1044)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-8)*196\/(-1029)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 766.461 - -19.409. Let r = n - 780. Round r to 1 decimal place.\nAnswer: 5.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 5*a = 16. Suppose -a = 3*c + 5. Sort -5, 5, 1, c in increasing order.\nAnswer: -5, c, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (174\/4)\/(30\/1580) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 6*s**2 - 18*s - 122. Is l(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -u**2*x**3 - 180*u**2*x**2 + u**2*x + 54*u**2 + u*x wrt x.\nAnswer: -6*u**2*x - 360*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/(l**(-14)*l)*l**(-2\/5)*l*((l\/(l\/(l\/(l\/(l\/(l*l*l*l**15)))*l)))\/l)\/(l**(-9)*l) assuming l is positive.\nAnswer: l**(28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of t**6\/6 + 4*t**5\/5 - 3*t**4\/2 - 4*t**3\/3 + 5*t**2\/2 - 1579. Factor m(l).\nAnswer: l*(l - 1)**2*(l + 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7999, 64004, 216031, 512092, 1000199, 1728364, 2744599, 4096916?\n\"Answer: 8002*p**3 - p**2 - 6*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*k - 1937 = -238*k + 5513 for k.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.22*-81.282.\nAnswer: -17.88204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25611167 and 76728?\nAnswer: 3197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*((sqrt(68) - 3*sqrt(68)) + sqrt(68))*4)\/(((-2*sqrt(24))\/sqrt(6) + sqrt(64)*5)*5).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10279378913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 21354715 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (30426\/(-348))\/11 + 80*(-24)\/(-240)\nAnswer: 3\/58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 40. Suppose f*v + 4*t - 20 = 0, -4*v + 0*v = t - 5. Suppose v = 5*a + 5*m - 305 - 1000, -265 = -a + m. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of -n**4\/12 + n**3 - n**2\/2 - 4*n. Give d(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -49*b + 27\/4*b**3 + 42*b**2 + 1\/4*b**4 + 0.\nAnswer: b*(b - 1)*(b + 14)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.125 - -0.156. Let f = -968 + 968.241. Let l = d - f. What is l rounded to 1 dp?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*3*(-6)\/(-48)*20\/30.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -1\/5*r**5 - 40 + 1\/3*r**3 - 2*r**2 + 2\/3*r**4 - 4\/3*r. Determine k, given that l(k) = 0.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-12)\/(-4))\/(-18)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1624.42 - -1559. Let d = 65 + h. What is d rounded to one dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 5*k + 120 = 0, -26*u + 162 = -1553*k + 1558*k for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12*3\/(9\/21)*(-596)\/1192?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-234)\/(-90) - 4\/(-10). Solve -y - 3 = 3*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1807 and 6268.\nAnswer: 11326276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25833164 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 12:24 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 5892.194 to the nearest one hundred.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - -10) + 1 + -6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 + -11. Suppose 0 = -g*c - 3 + 12. Is 3 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11269?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-7 + 1)*(5 - 2). Suppose -3*i = -12*i + 1413. What is the remainder when i is divided by (-4)\/(-18) - (572\/y - 0)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**3 - 2*r**2 - 9*r - 2. Let h(f) = -3*f**3 + 3*f**2 + 10*f + 3. Calculate 5*b(o) + 4*h(o).\nAnswer: -2*o**3 + 2*o**2 - 5*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54564, 54563, 54562, 54561?\nAnswer: 54560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 755.\nAnswer: 5, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 274214745 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -305867599\/2124820 - 12\/106241. Let v = p - -144. Calculate the common denominator of -11\/38 and v.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1720027360?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.092 - 0.008. Let m = -16 + 15.8. Which is the second biggest value? (a) m (b) -17 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from sysysyysyysusy?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2411 (b) 3\/2 (c) -2\/3 (d) -2\/21 (e) -0.4 (f) -1.98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 5*r**2 + 35*r + 154. Calculate the remainder when 6840 is divided by s(-9).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 129 and -4?\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 2. Let n(b) = -7*b**2 + 10. Let j(c) = -15*f(c) - 3*n(c). Let l(i) be the first derivative of i**3 - 1. Determine l(j(x)).\nAnswer: 108*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 68431057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -94, 3 in ascending order.\nAnswer: -94, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2, 14\/11, -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y + 143. Let v(o) = -29. Determine 11*v(u) + 2*z(u).\nAnswer: 2*u - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, 2, -24, -5 in ascending order.\nAnswer: -24, -5, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - (5 - 11) - -12.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.21737 + -1.217320279. Round q to 6 dps.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - p = -8, 6*p = 5*z + 3*p - 42. Let a(g) = -g + 4. Let b be a(z). Suppose 0*l + j = -2*l - 6, -2*l - 5*j - 22 = 0. Sort 5, b, l in ascending order.\nAnswer: b, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76.1 - 77.1. Let j = 158 + a. What is j rounded to 1 dp?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -117, -232, -345, -456?\n\"Answer: m**2 - 118*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + 1 - (sqrt(144)\/sqrt(6) - sqrt(24))\/sqrt(2)) + -1)*1.\nAnswer: 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 + 217\/(-62)*(-2)\/7. Sort j, -1, 9 in increasing order.\nAnswer: j, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4488 and 81906?\nAnswer: 327624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*k - 134*k + 34 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*l**3 + 3474*l**2 + 26*l + 10240874 wrt l.\nAnswer: 9*l**2 + 6948*l + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*h + 22, 3*h - 20 - 19 = -3*g. Suppose -8*i + 7 = -h*i. Does 7 divide ((-1)\/(-3))\/(i\/(-147))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*x - 9 + 43 = 0, 4*x = -5*o + 5. Let k(g) = -2*g**3 - 7*g + 4. Let h(f) = -f**3 - 4*f + 2. Calculate o*k(m) + 5*h(m).\nAnswer: m**3 + m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1241 - 134241?\nAnswer: -135512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -7 + (1 - (-2 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 378 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 6757480?\nAnswer: -6757479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g - 34. Let v be j(-6). Solve 3*o + 29 = v for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 419 - 17288.498\nAnswer: -16869.498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*d + 150 = 82*d. Let u be 18\/d - ((-78)\/(-30) + -2). Solve 2*x + 12 = -3*g - x, u = g - x for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-9))\/(67524\/459 - 121).\nAnswer: 2\/235","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((20\/(-244))\/(-5))?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(3) + sqrt(2)*2*-3)**2 + sqrt(4)\/(sqrt(2) + (sqrt(12)\/sqrt(6) + sqrt(2) - sqrt(2))) + -5.\nAnswer: sqrt(2)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.603574 millimeters to micrometers.\nAnswer: 6603.574","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16325422090 - 58.\nAnswer: 16325422032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3887036 or 3887045?\nAnswer: 3887036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 a when two letters picked without replacement from {i: 6, s: 2, p: 2, a: 1, n: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mcnc when four letters picked without replacement from cqmcmdndm?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-2*3\/(-30)). Factor -r**5 + 1 - 13*r**2 - 5*r + 5*r**4 - 5*r**3 + 23*r**2 - o*r**3.\nAnswer: -(r - 1)**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 56 + 26 - 4*g.\nAnswer: -4*g - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1094 - -1101. Let p(r) be the third derivative of 0*r - 1\/240*r**6 + b*r**2 + 1\/120*r**5 + 0*r**3 + 0 + 0*r**4. Factor p(d).\nAnswer: -d**2*(d - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-8)*0\/2. Suppose 5*x = 5 - s. Calculate the smallest common multiple of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130167529?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s. Let a(m) be the second derivative of -m**3\/3 - 5*m**2 + 10*m. Let o be a(-6). Suppose 0 = -4*p + o*p. Determine x(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20354*-0.7378\nAnswer: 15017.1812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -18*g**2 + 26*g - 110. What is w(5)?\nAnswer: -430","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-340))\/((-51)\/(-170))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 394322070 a multiple of 1670?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-15)\/(-180)*6*-26. Let h(a) = -5*a - 11. Let f(u) = -11*u - 21. Let y(r) = -2*f(r) + 5*h(r). What is y(s)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 79 and 2291.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-26)\/2*(-3 + 693\/273)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 317377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -7.0214406?\nAnswer: -0.70214406","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**5\/3 - 568*c**4\/3 + 18400*c**3\/3 + 124352*c**2\/3 + 258112*c\/3 + 175232\/3.\nAnswer: 4*(c - 74)**2*(c + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.037 + -5.163. Let m = t + 5. Which is bigger: m or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -129 - -112. Let m = s - -19. What is the closest to -0.3 in -0.5, m, -11, -2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 3*g - 19. Suppose g*j = -k - 0*j + 31, -2*k + 2*j + 62 = 0. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4552619?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56513 is divided by 1527.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 19360, 19138, 18916, 18694, 18472?\n\"Answer: -222*u + 19582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 160033*y - 320028. Determine r(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10932)\/(-936) + -14 - 2\/(-52)*4. Suppose 5*s - 8 = 2. Let q be s\/(-3) - (-1)\/3. Is q <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*q**2 + 21*q**4 + 2*q - 22*q**4 - 2 - 127*q**3 + 254*q**3 - 128*q**3 as n*q**2 + m*q**4 + i + t*q**3 + p*q and give n.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + q + 1 - 2*q + 0*q)*(-55*q + 127*q + 44*q).\nAnswer: 116*q**4 - 116*q**2 + 116*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5655*c - 62027*c**3 + 5040 + 599*c + 1276*c**2 + 62023*c**3.\nAnswer: -4*(c - 315)*(c - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, r: 4}. Give prob of sequence rbr.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 + 63. Let n(f) = f**3 - 3*f**2 + 4*f - 4. Let p be n(u). Solve l - 6*l = p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2*p = 570, 2*p - 358 = 5*r - 1093. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -805193*b**5 - 17514*b**2 + 25*b?\nAnswer: -48311580*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 2*m**2 + 2. Let d be (-378)\/45 + (-4)\/(-10). Let t = -10 - d. Let q be 7\/(7\/4) + t. Let l(s) = s**2 - 1. Give q*l(f) + r(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5 - 5 + k + (2 + 0 + 0)*(-3*k - 2*k + 4*k) + (0 + 3 + 1)*(1 - 4*k - 1).\nAnswer: -17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 20 - 176?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**7\/2520 + h**5\/40 - h**4\/4 + 2*h. Let x(w) be the third derivative of a(w). Differentiate x(z) with respect to z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33583696\/9 > 3731521?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 2:16 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-34)\/12 + 2 - (29 + (-2087435)\/114)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 + l**2 + l + 3. Let c be m(0). Solve 0*r + t = -2*r, -c*t = 4*r + 4 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) -10 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13575, -13588, -13555, -13458, -13279?\n\"Answer: 3*g**3 + 5*g**2 - 49*g - 13534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 4)*(2*m**2 - 2*m**2 - m**2) + 869*m - 380*m**2 + 757*m**2 - 378*m**2.\nAnswer: m**2 + 869*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -13*r**3 - 8*r**2 + 11*r. Let u(o) = -20*o**3 - 12*o**2 + 16*o. Let v(m) = 8*p(m) - 5*u(m). Find h such that v(h) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4*l - 266 - 866, 4*z - 2*l + 1136 = 0. Let p = -110 - z. Let a = 285 - p. Calculate the highest common divisor of a and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -158, -630, -1416, -2516, -3930, -5658?\nAnswer: -7700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*g + 823 = -504 - 801 for g.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6330 - -0.2\nAnswer: -6329.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9755148 is divided by 1752?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14719*k**2 + 1 + 7 + 6*k + 20620*k**2 + 0.\nAnswer: 35339*k**2 + 6*k + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, -699, 74 in decreasing order.\nAnswer: 74, 3, -2, -699","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 5*t - 3*l - 215, l - 5 = 0. Let x = t - 40. Solve -c - 3 = -3*h + 2*h, -2*c - x = 3*h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 407298 to the power of 1\/3, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -141*j + 44*j + 78*j + 48*j - 59 in the form c + n*j and give c.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 583*s - 14 = -581*s, 12*s + 72 = 10*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -346 + 342. Is -13\/3 greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -2*a**2 - 91*a + 25488. Give h(93).\nAnswer: -273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*d - 56*d = -7278879. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -47. What is the smallest common multiple of w and 68?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -78*p - 302. Calculate v(-7).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 15*h**2 - 18*h - 64. Let w be l(13). Suppose -w*r + 10957 = -31603. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1077 - -1072. What is the smallest value in 1, -36, q?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3342\/36762)\/((-10)\/(-44))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5)*h\/(h**0*h)*h)\/(((h*h**(-5)\/h)\/h)\/(h\/(h*(h\/(h\/(h*(h**0*h)\/h)*h)*h)\/h))) assuming h is positive.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 1 - 2\/3*u**3 + 2*u**2 - u. Let o(d) = -5*d**2 + 11*d - 2. Let l be (-2)\/(5*(-6)\/(-45)). Calculate l*o(y) + 8*x(y).\nAnswer: -y**2 - y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 795977557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -5 - 5*q + 6*q + 0 - 8*q - q. Let c(j) = -j**2. Calculate c(t(o)).\nAnswer: -64*o**2 - 80*o - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 0*q + q + 37, 5*q = -25. Let s = u - 8. Solve 5*g + 3*v - 40 = s, 4*v = 5*g - v for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 AM and 9:09 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**3 - 2*j**3 + 2*j**3)*(9 - 15*j - 9) to s*j**3 + u*j + z*j**4 + t*j**2 + k and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m + 37. Let a be d(-11). Factor 45*s**2 + a + 21 + 235*s - 2 - 28.\nAnswer: 5*(s + 5)*(9*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 + 1)*4 - -1. Let s(q) = u - 12 + q - 5*q + 3*q. Determine s(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -235\/16 or -16?\nAnswer: -235\/16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) -3\/4 (b) -2\/63 (c) -1 (d) -4 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhoooohhhhhhhhoh. What is prob of sequence oh?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4492142, -17968571, -40429286, -71874287, -112303574, -161717147, -220115006?\n\"Answer: -4492143*k**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -89 smaller than 672.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 11256 and 11254 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -3\/7, -5\/6, -4, 55, -23?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/50 of a millennium?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 4*r - 4. Suppose -2 - 13 = -5*u. Let f be (-6)\/(-4)*6\/3. Let p(b) = -1 + f*b - 5 + 3 - b**2. Determine u*h(d) - 4*p(d).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 40\/21 in 0.4, 3, -1\/6, 440?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*((-2)\/6)\/(8\/12).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 f, and 1 r when three letters picked without replacement from {y: 2, c: 2, f: 2, w: 1, n: 1, r: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18769434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1*19*90\/324 and 87\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3216 and 1145834?\nAnswer: 27500016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7272074903.\nAnswer: 43, 12601, 13421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*n + u, 0 = -8*u + 4*u. Let v be 5\/((-15)\/48) - n. Let c = v - -28. List the prime factors of c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19.93 - -10.53. Let v = 53772 - 53762.6131. Let o = z + v. What is o rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-18)*b**(-2\/39) assuming b is positive.\nAnswer: b**(-704\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3 + 12916*t**2 - 103520*t + 207168.\nAnswer: 4*(t - 4)**2*(t + 3237)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0, 21, -9 in descending order.\nAnswer: 21, 0, -1, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 455 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 226301 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 7*s + 5. Let y(u) = -u - 1. Let m(c) = -v(c) - 6*y(c). Calculate m(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2069.12 + 87547.12. Let k = 85475.00008 - z. Let l = 3 + k. Round l to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 49301, -5, 25\/6?\nAnswer: 49301","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 + 362504.\nAnswer: 362503.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -8*y**3 - y. Let w(p) = p + 16. Let o be w(-15). What is f(o)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 3*o = 0. Let f(b) = 18*b + o + 7 - 9*b + 15*b. Is f(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 19292\/16 - 2\/(-8). Calculate the greatest common divisor of h and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*s**4 + 7*s**4 + 36*s**4 + 32*s**2 - 32*s**2 + 17*s**4 + (-2 - 2*s + 2)*(0*s**3 + 2*s**3 - 6*s**3).\nAnswer: 46*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 1320*u**2 + 50*u + 185. What are the prime factors of l(-3)?\nAnswer: 5, 2383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-16)*(-6)\/(-9). Let z = -0.43 + 0.03. Let l = z - -0.3. Do l and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 344*m - 147. Let c(p) = 341*p - 144. Let x(g) = -5*c(g) + 6*h(g). What is the first derivative of x(s) wrt s?\nAnswer: 359","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-6)\/8*(-29 - -25). Solve -y*o - 67 + 82 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*t + 6 = -47*t. Suppose 0 = -j - t*w, -2*w + 4*w = 0. Suppose -6*d - 4*d + 1550 = j. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-78)\/(-24))\/((-2)\/(-48)). Let t(k) = 7*k. Let m be t(-5). Let z = y + m. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 2\/41, 1\/3, -3, 4, -2\/7, 0.05, -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-120))\/(10\/25). Let y(n) be the first derivative of 1\/20*n**5 - 1\/16*n**4 + 4 + w*n**2 - 1\/12*n**3 + 0*n. Factor y(x).\nAnswer: x*(x - 1)**2*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 204*x**2 - 98*x**2 - 32 - 109*x**2.\nAnswer: -3*x**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 797306, 797254, 797202, 797150?\nAnswer: 797098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156383\/126075 + -2\/5043. Let y = s + 1\/100. Let q = 23 - 26. Which is the nearest to -3? (a) q (b) y (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19661 is divided by 2806.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -20, -3 in descending order.\nAnswer: 0, -1, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 56*h - 8*h - h**2 + h**2 - 256.\nAnswer: -4*(h + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51280 = 1217*m + 210*m - 145*m for m.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24248327.\nAnswer: 193, 125639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -134 (base 5) to base 3\nAnswer: -1122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/23 in -400, -0.5, 2\/5, 3, -109?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 300 and 480?\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1639451 and 309?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 532*g**3 - 14*g**2 + 20*g - 5. Let r(n) = 355*n**3 - 10*n**2 + 14*n - 3. Determine -7*r(o) + 5*w(o).\nAnswer: 175*o**3 + 2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -122 + -8?\nAnswer: -12a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-59 - 1)*(12\/(-16) + 2). Let j be (561\/(-22) + 7)\/(1\/4). Which is smaller: x or j?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 3*m - 28, -q = -4*m - 0*m + 46. Let l be (277065\/m - 3)*(-3)\/45. Let z = l + 7717\/5. What is the common denominator of 23\/6 and z?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - m - 4 = 5*q, -3*m - 12 = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*u - 5*s - 12372 = 40*u, -8 = -2*s. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -5*x - 13917 + 13987, -3*x + 28 = -2*s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**5 - 3*x**3 + 3*x**3 + (0*x**3 + 17*x**3 - 7*x**3)*(0 + 2*x**2 + 0).\nAnswer: 19*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 - 2*z**2 + 3*z - 2. Let d be 5\/(17 + (9 - 21)). Calculate t(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 + -5 - (-34)\/8. Let j = i + -79\/12. Put -0.4, j, 2\/3 in descending order.\nAnswer: 2\/3, j, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes before 3:01 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 147617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -529*s + 98*s - 4131 = 8799 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of 13*v**4\/2 + 10*v**3 - 286*v**2. Differentiate x(z) wrt z.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1146107*b**3 - 698162*b.\nAnswer: -6876642*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 3*q**5\/80 - 3*q**4\/4 - 27*q**3\/8 - 21*q**2\/4 - 89*q. Factor b(g).\nAnswer: 3*(g - 14)*(g + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -24*v - 74. Suppose -2*g + 78 = -4*u - 0*u, 0 = 5*u + g + 87. Is f(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(-37)\/j*j)\/(j*j*j**(-16)*j*j) assuming j is positive.\nAnswer: j**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (7 + (-7 - -1) + 3 + 2).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1, 74, 839\/6, 4, 0.9 in increasing order.\nAnswer: -1, -0.1, 0.9, 4, 74, 839\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11, -23, -33, -41, -47, -51, -53?\n\"Answer: x**2 - 15*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + 2*f - 4*f)*(-2*f + 3*f + 0*f) - 6*f**2 + f**2 + 2*f**2 - 29*f - 22*f**2 + 29*f.\nAnswer: -27*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8075194 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*q + 161*q + 89 - 329 = 0. Calculate the greatest common factor of 2374 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 2. Let l(u) = 2*u + 4. Suppose 4*z + 25 = 5. Let f = -27 - -25. Determine f*l(v) + z*j(v).\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of -a + 39 + 0*a**2 - 14 - a - 50*a**2. Is r(-2) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.199651 rounded to 2 decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 124926.2 tonnes in grams?\nAnswer: 124926200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 5*m + 10. Let s be z(-7). Let d = -18 + 21. What is the second biggest value in d, 5, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - 4*t**2 - 12*t + 6. Let q be u(6). Suppose q*o = 5*o + 11. Let s = 16 - o. Solve 3*n + 23 = s*z, -8 = -4*z - n + 7 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -304 divided by -76.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -7192 less than or equal to -0.06?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 16 - 6. Suppose 0*y + 4*y + 8 = 0, 4*w - s*y = 6. Let k(o) = -23*o**3 - o**2 + o + 1. What is the tens digit of k(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5504376 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*k - 3*x + 33, -4*k + 196 - 194 = 5*x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 186\/(-341) - 6348\/(-22). Calculate the greatest common factor of 768 and d.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**(-3)*o\/(o\/o**7))\/(o**(-2\/27)*o**(-9)))**41 assuming o is positive.\nAnswer: o**(16687\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 1:41 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 134969 divided by -139\nAnswer: -971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 35*t + 23. Let m be a(-18). Put -3, m, 0 in ascending order.\nAnswer: -3, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)*1*4)\/(sqrt(120)\/sqrt(108) - sqrt(10)).\nAnswer: -6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127 - 127 + 376 + 158*f - 122.\nAnswer: 158*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the third derivative of f**7\/70 + f**6\/10 - 11*f**5\/20 + 3*f**4\/4 - 21*f**2. Let o(i) = 0. Calculate i.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of d**4\/3 - 20*d**3\/3 + 32*d**2 - 283*d. What is c in y(c) = 0?\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 127*x + 1172. What is r(-9)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a - 15. Let m be l(-9). Suppose 0 = -6*q + 7*q - m. What is the lowest common multiple of 16 and q?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 26 = 2*m, 2*k + m - 3 = 19. Let l(r) = 52*r + 2. Let w be l(0). Find the second derivative of 4*h**5 + 4*h**2 - k*h - 4*h**w + 0*h wrt h.\nAnswer: 80*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*d - 48 = 94*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8 - 2)\/((-1)\/10*-4). Let i = x + 38. What is the remainder when i is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32837 and 140?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 397602 to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 n when three letters picked without replacement from {x: 5, d: 3, c: 2, n: 1, m: 1, u: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhfp when four letters picked without replacement from ffhfhfpffpphh.\nAnswer: 9\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 307*h**2 + 304*h**2 - 609*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -82 + f + 40 + 33 to the form t + r*f and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**4 - w + 1. Let j = 18 - 31. Let u = 18 + j. Let c(o) = 7*o**4 - 2*o**3 + 5*o - 5. Let s(v) = u*h(v) + c(v). Factor s(b).\nAnswer: 2*b**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16542 and 134174?\nAnswer: 1207566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -360?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5280 + 5278. What is the smallest value in w, 3, 22\/135?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -87468*j**3*x**3*z**2 - 22*j**3*x**2 + 4*j**2*x**2*z - 154*x**3 wrt z.\nAnswer: -174936*j**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 + 7. Let c = 3 + r. Solve v - 24 = -5*h, v - c = 5*v - 5*h for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 6:45 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - a = 4. Suppose 54 = 4*h - 5*q, 5*h = -a*q + 8 + 43. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + -3 - -4 - (16 - (-4 + 15))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 2:05 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -748 + 1417. Let h = j - 393. What are the prime factors of h?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - f = 3. Let u = 6 + f. Which is smaller: u or 10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -188 + (-1 - 1)*-1. Let s = c - -286. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 + 3067*j + 845003. Determine c(-306).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + 37*w**2 + 52*w - 10. What is the tens digit of j(21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1346110 and 7116?\nAnswer: 8076660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = 496*i - 504*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 3*o. Let v(u) = 4*u**2 - 8*u + 2. Let d be v(2). Let n be d + 4*2\/8. Which is the biggest value? (a) o (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.031382 - 264.121\nAnswer: -269.152382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 453182 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 16 = -3*p, 2*c - 4*c = 4*p + 8. Let j(s) = s**3 + s**2 + 5*s + 5. Let d be j(p). Solve 0 = -d*t - 4*v + 2*v - 20, -5*t = -2*v + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81958.041 - -26?\nAnswer: 81984.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 4*n**2 - n**2)*(-n + 23 + 20 - 46).\nAnswer: -2*n**3 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sk when two letters picked without replacement from {d: 2, w: 1, s: 2, k: 8, e: 3, y: 4}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 43 = -f - 4, -4*y + 53 = -3*f. Let s be -2*(2 - (-1 + y)). Round s to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 27\/2 of a millennium?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**3\/3 - 2372*s**2\/3 + 381484*s\/3 - 2883204 = 0. What is s?\nAnswer: 27, 283","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5\/(-1) + 1)\/(-1). Suppose -2*u - 19 = u + 4*x, -n = -4*u + 2*x. Let h be 6\/(-15) - (-1)\/(-35). Which is bigger: h or u?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s + 2*s - s. Let a(m) = 48*m**2. Let h(t) = -6*t**2. Let v(c) = -4*a(c) - 33*h(c). What is x(v(u))?\nAnswer: -6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.3 and -3418183270903.\nAnswer: -3418183270901.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 231.1 + -247. Let i = l - -15.6. Which is the second smallest value? (a) -4 (b) i (c) -0.8 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/8 and -29\/425356?\nAnswer: 850712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.141 and 19.\nAnswer: 19.141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6604*k + 12 + 35 + 11 - 58)*(0*k**3 - 2*k**4 + 0*k**3).\nAnswer: 13208*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eq when two letters picked without replacement from {e: 1, o: 1, q: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 19*w**2 - 16*w - 13. Calculate d(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/6*(-3)\/2. Calculate the common denominator of f\/(-2)*(1780\/8)\/(-5) and 36\/25.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -80.35 + 75.35. What is the second biggest value in 3, -0.2, 0.4, -9, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 2648?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.993937 meters in centimeters?\nAnswer: 599.3937","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 608869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 274, 10, 1, 0.\nAnswer: 0, 1, 10, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 17, 0.1, -17\/4, -0.2, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63 + 6*h**2 + 28 + 112*h + 35.\nAnswer: 6*h**2 + 112*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*b - 49*b**2 + 7*b**2 + 19*b**2 - 8*b + 18*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2727*f**2 + 4*f + 13071 wrt f.\nAnswer: -5454*f + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -16. Let l = 5 + p. Is -2\/5 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11531?\nAnswer: 13, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of 4\/3*p**3 + 0 + 0*p**4 - 1\/60*p**5 + 0*p + 3*p**2. What is the derivative of s(x) wrt x?\nAnswer: -2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3936?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 39 = f + 296, -679 = -2*p - f. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1540\/21 + (-1)\/3. Let u = 1641\/22 - s. Let k = -411 - -7543\/18. What is the common denominator of u and k?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -0.2, 17, 1\/7, 1.84?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.3 times 74?\nAnswer: -96.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6651986 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3424 - -10?\nAnswer: 3434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/2, 1, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**4 - 51054*t**3 - 233667*t**2?\nAnswer: -72*t - 306324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 428477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 358 and 155014.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 3*f**2 + 3*f + 4. Let x be c(4). Suppose a + 4*a - 15 = x. What is the third derivative of 2*k**4 + a*k**2 - 2*k**2 + 0*k**2 wrt k?\nAnswer: 48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -2\/6279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7188 divided by 1797?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 28\/(-126) - 230\/18. Let z(j) = -109*j - 184. List the prime factors of z(h).\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1773, -1729, -1673, -1611, -1549, -1493, -1449?\n\"Answer: -l**3 + 12*l**2 + 15*l - 1799","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*w + 147*w - 159*w - 222 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4627 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + 101*u**2 - 235*u - 141. Calculate the remainder when 1336 is divided by o(48).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 745 is divided by 86.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 8237039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 25373, 25378, 25383, 25388, 25393, 25398?\n\"Answer: 5*a + 25368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 108, 132, 202, 342, 576, 928?\n\"Answer: 4*c**3 - c**2 - c + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 5041*s**2 + 155310*s - 22. What is o(-31)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 11:33 AM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1144543 + 1?\nAnswer: -1144542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/3)\/a)**(2\/101)\/(((a**(-6)\/a)\/a)\/(a\/(a*a\/(a*a\/a**(3\/4)))*a))*((a*a*a**1)\/a)**30*a**(-2\/9)\/a**(1\/11) assuming a is positive.\nAnswer: a**(2755879\/39996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15056 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 16*r**2 - r - 2. Let n be s(-1). Put 5, -4, n, -5 in decreasing order.\nAnswer: n, 5, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/3 in 119, -0.5, -1, 4\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2840137?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + x**5 - 2*x**2 - 78*x**3 - 149*x**3 - x**4 + x**4 + x**5 + (x + 2*x - x)*(-x**4 + 3*x**4 + 0*x**4) + 0*x**5 - x**5 - x**5.\nAnswer: 4*x**5 - 227*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o - 2. Let v be (1 - -5)*17\/(-34). Give t(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38*(-26)\/180310*5?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 - 2*p**2 - 2. Let f be (18\/14 - 1)\/(23\/161). Give s(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -134 - -296. Let p = 227 - h. List the prime factors of p.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a - 18*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1851265784?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 588947.\nAnswer: 588947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -1 (c) 1 (d) 2.59 (e) -2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102 - 98. Solve -2 + 6 = t*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31*21.\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -353*d**3 + 84*d**3 + 95*d**3 + 102*d**3 + 104*d**3.\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes after 12:14 AM?\nAnswer: 8:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = h - 3*m, -1 + 6 = 3*h + m. Let k(t) = t**3 - 2*t**2 - t + 2. Determine k(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.596 - 3.556. Sort -1.6, -1, x, 1\/3 in decreasing order.\nAnswer: 1\/3, x, -1, -1.6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(3\/(-3 + 0)). Let c be (5 - y)\/(-3) + 7. Suppose -c*i = -4*h + 37, 29 = -2*h + 5*h - 4*i. What is the highest common factor of h and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -5, -213 in decreasing order.\nAnswer: 1, -4, -5, -213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (95 - 166 - 141 - 133)*(-3 + 3 + 4*a).\nAnswer: -1380*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9024*v - 1589*v = 460710 - 118700 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/6*(-219)\/(-1460).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 73 + -95. Let s = -22.4 - t. What is the third smallest value in s, -11, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.00746 from -0.093.\nAnswer: -0.08554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 5*p - 6. Let c be i(6). Solve -4*z = -c*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 302?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -11*a**3 + 8*a**2 - 5. Let v(j) = -4*j**3 + 3*j**2 - 2. Determine 3*k(w) - 8*v(w).\nAnswer: -w**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.01, 3\/4, 0, -31384, -2 in decreasing order.\nAnswer: 3\/4, 0, -0.01, -2, -31384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 75 = u. Let y be 2\/(4 - 50\/u). Suppose -2*r = -5*t + 675, -r = 4*t - y*r - 540. What is t rounded to the nearest 10?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 275776 = -3*r, -5*r - 165452 = 34*i - 31*i. What is i rounded to the nearest 100?\nAnswer: -55200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (340*r**3 + 892*r**3 - 491 + 491)*(-2 + 0 + 4)*(r + r - r).\nAnswer: 2464*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(3\/7))**(2\/71)\/(o**(-15)*o)**(-6))**(-23) assuming o is positive.\nAnswer: o**(959744\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 4*a**2 - 2*a - 5. Let s be y(-4). Suppose -8*h + 7*h = s*x + 40, -x = -h - 28. Find the common denominator of h\/4*(3\/(-6) + 1) and -103\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0 (b) -4 (c) 1.0005 (d) -0.2 (e) 7\/4 (f) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.78 times 13.342?\nAnswer: 37.09076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(252\/(-60))\/3*8\/(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11647540 divided by 5.\nAnswer: 2329508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 PM and 10:51 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 + 32 = -5*j - 5*m, 66 = 3*j - 2*m. What is the least common multiple of 22 and j?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 42. Suppose -r + s = 4*p, -r + 13 = p - 2*r. Calculate the lowest common multiple of 51 and p.\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 3*f = -587, -34*s + 29*s = -2*f - 751. Suppose -8*j - 173 = -s. Sort 0, 16, j in decreasing order.\nAnswer: 16, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17152 + -274333\/16. Calculate the common denominator of w and -7\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 + -14. Let x = 5 + -1. Suppose -4*z + 4 = -3*r, 0 = 3*r - 2*r - x. What is the closest to -1 in 2\/5, z, m?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -3*x**5\/20 + 5*x**4\/12 + x**3\/3 - 5*x**2\/2 - 42*x. What is the remainder when n(-4) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/1908 and -125\/59148.\nAnswer: 59148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 2) + -8 + (-5)\/(-4)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -0.044 (c) 5 (d) 0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/9)\/((-1)\/(-3)). Let l(y) = -y**3 - 3*y**2 + 4*y + 6. What is the units digit of l(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6256390 or 6256383?\nAnswer: 6256383","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (((93 - 0)\/1)\/(39\/(-52)))\/(-4). Suppose 2*r + 10 = 0, 5*w + r + 379 = 69. Let q be 3 - (w - 6\/(-3)). Calculate the highest common divisor of s and q.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 6. Suppose -m - c = -33. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 21\/5 of a micrometer?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1, 5, 9?\n\"Answer: 4*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2703755 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 7, l: 2}. What is prob of picking 3 g?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13\/2 + 7. Let l be 2*9*6\/36. Let i = -41 - -45. Put a, i, l in increasing order.\nAnswer: a, l, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -218*q**2 + 4162*q - 380 = 0. Calculate q.\nAnswer: 10\/109, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42843.\nAnswer: 3, 14281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -127\/3, -7, 135, -0.13?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11 or 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, -5, -48, -121, -230, -381?\nAnswer: -580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 73*l - 61. Let s(z) = -145*z + 120. Let a(r) = 7*f(r) + 3*s(r). Let g(h) = -2*h + 1. Let p(y) = a(y) + 6*g(y). What is the derivative of p(i) wrt i?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + -11. Suppose 0 = 5*p + 18 + 12. Put 5, p, h in decreasing order.\nAnswer: 5, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4333 is divided by 7?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s**2 - 4*s - 3. Let b(h) = -h**2 + 4*h + 2. Let n be b(3). Let m(t) = -3*t + 3 - n*t**2 + 3*t**2 - 5. What is -3*k(u) + 4*m(u)?\nAnswer: -2*u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (51 - 57) + 0 + (-3 - 1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42688 - 829. Suppose 30*x - n = 7851. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-80)\/(-64))\/((-100)\/(-160)). Solve -8 = -4*i + l*i, 0 = 4*x + 4*i for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5575 + -2282. Does 89 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 22 + -42. Let y = -20.603 - -0.103. Let n = s - y. Which is the smallest value? (a) -1 (b) 1\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4*l**2 + 7*l - 26. Calculate the remainder when w(3) is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 at most as big as -2615?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -272 times -0.269298?\nAnswer: 73.249056","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 128*y**2 - y + 1. Let h be a(1). Let l = -53 - -69. Calculate the greatest common divisor of h and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 912\/(-190)*(-80)\/128?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-341*a**3 - 3040332 - 14*a + 3040332)*(-5*a + 0*a + 3*a).\nAnswer: 682*a**4 + 28*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*l - 149370 + 149370.\nAnswer: 71*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 5*j + 7. Give h(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 600.794 + 0.206. Let s = c + -601.00277. What is s rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 3*s - 203073, -70*n - s = -54*n - 1083056. List the prime factors of n.\nAnswer: 13, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 1\/3*q**3 + 3 + 2*q - 3\/2*q**2. What are the prime factors of r(4)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 213 divide 5902272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + 13001?\nAnswer: 13022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 2\/9 (c) -0.2 (d) 6 (e) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83407062.\nAnswer: 2, 3, 23, 89, 6791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 2, j: 1}. What is prob of picking 1 q and 1 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 27 - 19*z - z**3 + 0*z**3 - 5*z**2 - 31 + 2*z**3. What is the tens digit of h(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24051 (base 6) to base 9\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pppp when four letters picked without replacement from {k: 5, p: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 582871698?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/102*18\/63*91\/(-7).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522626413?\nAnswer: 7, 11, 3637, 5437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 125961217 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18975 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.6 + 17. Let i = o + -0.4. Let s be 6\/(-15) + (-2)\/(-5). Is s at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2731311 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 4. Let c(w) = w - 3. Let o be c(l). Suppose 4*k - 3*k = o. Sort k, -3, 2 in increasing order.\nAnswer: -3, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 207147 is divided by 107.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18 + -16. Suppose -8 = x*r - 3*s - 28, 2*s = r - 8. Suppose r = 4*u - 40. Solve y - 3*c - u = -c, -5*y + 10 = 2*c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 0. Let b = m - -1. Let x = 34 + -34.2. What is the second smallest value in x, 5, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c - 1. Let j be i(-2). Let s(r) = r**3 + 19*r**2 + 5*r + 95. Let v be s(-19). Let y(m) = v*m + 0*m + 3*m - m - 4*m - 1. Give y(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*z - 7*z + 470. Let t = -89 - z. Solve -t*f + 28 = 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/739, 0.4, 0.1.\nAnswer: -1\/739, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -8*l**2 + 400*l - 11. What is z(50)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 4*n**2 + 4*n + 5. Let f be c(5). Sort f, -2, -3, -7 in decreasing order.\nAnswer: f, -2, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 20 = 4*x. Suppose 5*l - 10*l = -10. Let k = -41 - -43. Solve -3*v - k*v + 3*i - 10 = 0, -30 = x*v + l*i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -23.21 - 908.29. Let k = m - -932. What is the smallest value in 0, k, 2, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0108811 to 3 dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 856*p**3 + 3*p - 1341*p**3 + (-2 - 3*p + 2)*(2*p**2 - 7 + 7).\nAnswer: -491*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1346766 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -209, -347, -485?\nAnswer: -623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 1:04 AM?\nAnswer: 3:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -5*f**2 + 8*f - 53. Let r(t) = 4*t**2 - 10*t + 51. Let b(c) = 5*h(c) + 6*r(c). Calculate b(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 1300?\nAnswer: 1304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3998*a**2 + 13231*a.\nAnswer: 7996","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-168)\/105*(-1)\/4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*r**3*s*u - 1141989*r**3*s - 1117*r**2*u + 13*s*u - 3583*s wrt r.\nAnswer: 66*s*u - 6851934*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + -3*sqrt(19) + sqrt(19) + -2)**2 - (sqrt(1539) + 0 + 0 + (sqrt(19)*-2)**2)) + -2.\nAnswer: -5*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - (1*sqrt(136)*-5 - sqrt(136))) + sqrt(136))\/sqrt(8) - (sqrt(17)*3*-5 + 1)**2.\nAnswer: -3826 + 38*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3410673733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 43. Let a be (-1161009)\/v - (-1)\/3. What is a rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-110)\/(-528)*(-18)\/(-10)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d - 31. Give b(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2393350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + (-10)\/3*-15. Let w = 52 - f. List the prime factors of -12*120\/9*w\/2.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.192 plus 153732173?\nAnswer: 153732173.192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/15)\/((-2)\/20). Suppose -u*d - 10 = -d. Put d, 4, 1\/8 in decreasing order.\nAnswer: 4, 1\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*g - 100, -3*f + 2*f - g + 49 = 0. Suppose 3*i - 1487 = -f. What is the tens digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*f = 111*f + 531 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3319*z - 17217. What is w(-5)?\nAnswer: -622","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.2 (b) -3 (c) 27 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 761 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 10. Let f(v) = -v**3 + 4*v**2 + 4*v + 3. Calculate f(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 8*y**2 - 1. Let g be n(1). What is the greatest common factor of 28 and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2008319 plus 218076038?\nAnswer: 220084357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = 3*s + 1. Let z = 69 + s. Suppose -h + z = h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 206*c + 774*c - 1001 - 103*c + 146*c - 34*c wrt c?\nAnswer: 989","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 22. Let d = -20 + c. Let t = d - -9. Solve 4*y + 2*n - 13 = -n, t*y - n = 13 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38691*j**3 + 13961*j**3 - 5*j + 14*j - 3*j + 4850*j**3.\nAnswer: 57502*j**3 + 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c**3 - 6*c - 5. Let j(v) = -v**2 + 7*v - 9. Let x be j(3). Let l(b) = -39*b - 3 + b**x + 2 + 38*b - 2*b**3. Give -d(p) + 6*l(p).\nAnswer: 2*p**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 339119 to the power of 1\/2, to the nearest integer?\nAnswer: 582","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rif when three letters picked without replacement from {i: 1, r: 1, m: 1, y: 1, j: 1, f: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (11 - 21 + 47)*(m**3 + 2*m - 2*m) - 8*m**3 - 6*m**3 - 5*m**3 to n*m + f*m**2 + b*m**3 + r and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -5*s + 7128, 73*b - 75*b + 3564 = s. What is the highest common factor of 22 and b?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 154 and 672285.\nAnswer: 103531890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**2 - w. Let d be v(0). Is -7 not equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -81 + 83. Suppose -23 = -2*h - 3*z, 3*h - 7*z = -3*z + 77. Solve h - 25 = -q*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 - 444*b**2 - 6948*b - 6500.\nAnswer: 4*(b - 125)*(b + 1)*(b + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 236 = -5*i + l, -2*i + 2*l + 98 = 0. Is i a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y**2 - 3310*y - 32600 = 0.\nAnswer: -652, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes before 6:42 AM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-369)\/24*3\/75. Let m = 1\/100 - l. Let a = 9\/8 - m. What is the third smallest value in 4, -3, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -1, 0.3, 16870, 0.8 in increasing order.\nAnswer: -2, -1, 0.3, 0.8, 1, 16870","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 62*d**5 - 6*d**5 - 15*d**5 + (d**4 + 0*d**4 + d**4)*(3*d + 2*d - 3*d) - 7*d**5 + 5*d**5 - 5*d**5 - 2*d**5 - 4*d**5 + 3*d**5.\nAnswer: 35*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9858 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(2) + (sqrt(6)\/sqrt(3))**2)*-4.\nAnswer: -4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2252*n - 2248*n + 4504*n + 2*m = -334, -n - 3*m - 36 - 40 = 0 for n.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -1\/20, 3, -22, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 333, -2 in descending order.\nAnswer: 333, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 2*y**2 + 338 + 371 - 73.\nAnswer: -2*y**2 + 558","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - c - 5. Let x(o) = 114*o**2 - 2*o + 1397. Let y(j) = 6*t(j) - 3*x(j). Differentiate y(p) with respect to p.\nAnswer: -696*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 - (-43 + (-31 - -60)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.1 in -0.7, -0.4, -1\/2, 4, -16623?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2. Suppose 0 = -3*o + 4*h + 6, 2*h = -2*h. Let v(z) = -9*z**2 - z - 12*z**2 + 2*z + 6*z**o. What is v(s(k))?\nAnswer: -15*k**4 - k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1049 times 3?\nAnswer: 3147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 623, 387, -197, -1285, -3033, -5597?\n\"Answer: -26*v**3 - 18*v**2 + 667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 39*p - 22 = 36*p + 18, 3*t + 30 = -33*p + 34*p for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (40 - 27) + -24 + -5?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 44 times -16.307\nAnswer: -717.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 1 - o**2 - 15*o + 8*o + 2*o**2. What is the least common multiple of g(7) and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 1. Let x be j(-7). Let h be (2 - 1)\/(1\/(-2)). Let f be 30\/x - h\/8. Solve -3*l = -4*c + 8, 3*l + 8*c - f*c = 8 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - ((7 - -15) + -6) - (1 + 8).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 + 7 - o)*(-3*o + 0*o + 2*o**3 + o) to the form i*o**2 + q*o**3 + y*o + l*o**4 + b and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/(-42) - (-2)\/12.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -195220 = -3*c + 118589. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 9*o**3 + 57*o**2 - 681*o + 1287 = 0.\nAnswer: -13, 3, 11\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c**5 + 3830*c**4 + 89895*c**3 + 661160*c**2 + 1264960*c - 2019840 = 0. Calculate c.\nAnswer: -8, 1, 789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 (base 11) in base 9?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141 - 765 = -4*z. Does 39 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*w - 263*w + 2517 - 115 = -283 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*j**2 - 780*j + 780*j - 1)*(8 - 8 + 3*j) to the form p*j + r*j**2 + m*j**3 + b and give m.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -3*l**2 - 157200*l - 2043093 = 0.\nAnswer: -52387, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2723*317.\nAnswer: 86.3191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 232370000 to the nearest one million.\nAnswer: 232000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1274*z - 1278*z - 5*t - 15, 4*z - 9 = 3*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 65410150 + 12?\nAnswer: 65410162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 5. Give y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -178 - -208. Let a(z) = -z**2 + 6*z - 5. Let l be a(5). Suppose l = -5*y + 3*y + 40. What is the greatest common divisor of y and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 3*h**2 - 33*h + 79. Calculate t(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w**2 + 0*w + 0*w)*(4 - 6 + 1) + w**2 + 842 + 580 - 331 to m*w**2 + b*w + u and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10033 + 10032. What is the fourth biggest value in m, 1, -1805, -5?\nAnswer: -1805","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 33 - s - 2*s**2 + 18*s**2 - 28. Let j = -9 - -5. Is c(j) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -48*16\/(-24) + 6. Solve -16*t + o = 86 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*f*r**5 + 2*f*r - 4*r**5*v + 28*r*v - v wrt r.\nAnswer: 80*f*r**3 - 80*r**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -6929*d - 2079*d + 1433*d - 162*d in the form t + k*d and give k.\nAnswer: -7737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfylk. What is prob of sequence sy?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 357*j*l*p - 1934*j*l + 3*j*p**2 + 2*l*p**2 - 70*l*p + 2*l + p**2 + p + 219 wrt j.\nAnswer: 357*l*p - 1934*l + 3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -30*s + 6. Let l be w(3). Let p = l - -149. Does 12 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, g: 5, a: 1, o: 2, m: 5, i: 1}. Give prob of sequence maym.\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1455 = -3*b - 2*d, 2*b = 7*b + 2*d - 2421. Let c = b - 219. Is c a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 4*f**2 - 1493516*f + 7467480 = 0?\nAnswer: 5, 373374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the first derivative of 4*c**3\/3 - 9*c**2 + 19*c - 820. Determine z(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3237674708 rounded to two decimal places?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 816 - 316 = -4*k + d, 4*d + 646 = -5*k. Let t = k - -162. Solve -4 = -t*n + 34*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -14. Solve o = 2*y - 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13513*j**5 - 9*j**4*w**2 - 8*j**2*w**2 + 6950*j**2 wrt j.\nAnswer: 810780*j**2 - 216*j*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -22, -27114 in decreasing order.\nAnswer: 4, -22, -27114","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**7\/2 - 7*k**4\/4 - 8*k + 28. Let j(t) be the first derivative of i(t). What is the third derivative of j(m) wrt m?\nAnswer: 1260*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-195 - -197) + -1 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -263 - -266. Suppose 3*u = -3*l - c, -u - 24 = -4*l - 3. Sort 2, -3, 4, u.\nAnswer: u, -3, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3793121351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*n - 11*n + 9*n)*(-2*n**2 + 2*n**2 - n**2) - 344*n - 521*n**3 + 344*n to the form s*n + o*n**3 + l*n**2 + t and give o.\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/3 - (-18)\/(-27). Suppose 90 = q + d*q. Is 9 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 376 (base 12) to base 16\nAnswer: 20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 57*y**2 + 5*y + 287. Let d be q(-57). Solve -4*f + 3*p - 19 = 0, -22*p = -d*f - 21*p - 7 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 198394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/2 - 2)\/1. Let s(w) = l + 1 - 1 + 2*w. Let v(a) be the first derivative of a**2 + a + 9. What is -6*s(p) + 7*v(p)?\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 313 = -5*y - 137, 0 = 2*c + 252*y - 122*y - 132*y - 192 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2. Let r(j) be the first derivative of -4 + 0*j - 19\/2*j**2. Give r(u(b)).\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*k + 5*y, 0*y + 3*y + 10 = -4*k - 13 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 1:02 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 12 = -5*w, 45*x - 8 = 47*x - 5*w for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t - 1580624 = 5*t - 6*t. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/3 - 7278*l**2 + 55659989*l\/3.\nAnswer: l*(l - 18887)*(l - 2947)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxxa when four letters picked without replacement from ppxxpppapkpk.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 13*p - 1. Let h(o) = 699*o. Calculate h(z) - r(z).\nAnswer: 686*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6228 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/12)\/(24\/15606). Let l = 117 + r. Find the common denominator of 64\/3 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -668, -681, -730, -833, -1008?\n\"Answer: -3*q**3 + 8*q - 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 4 - 3)*(-3 + 2 + 2) - 2 + 1 - 1 + 1 + 1 - 3 + (-38 + 3 - 18)*(5 + 7 + 16))*(-2*r + r - r)*(-2 + 4 - 3) in the form l*r + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 - 24.8. Let y = u - 0.8. Let o = -2.39999881 + y. What is o rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -1\/356883 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1626 and 0.1.\nAnswer: 0.01626","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 p when four letters picked without replacement from {n: 5, p: 10, i: 4}.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 243577 + 6e?\nAnswer: 2435e6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, d: 6, j: 1, a: 2}. Give prob of picking 2 n and 1 d.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/5440 and -91\/544.\nAnswer: 5440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q**2 - 521*q - 16530 = 0. What is q?\nAnswer: -30, 551","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -38, 3 in increasing order.\nAnswer: -38, -15, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13093 - 1239206604?\nAnswer: -1239193511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -155 + 315. Let i = 18649900322 + -18649900481.99999923. Let w = k + i. Round w to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + (-20)\/(-210))\/((-50)\/(-18) + -3). Which is the third biggest value? (a) -1 (b) 55 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1835)\/10 - -1)*51\/(-2915). Let x = v - 56\/53. Find the common denominator of -113\/18 and x.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + 13. Suppose -10 = 3*g - k. Which is the fourth smallest value? (a) 1 (b) -1\/5 (c) g (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1835*q = 11896 + 21134 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.5 + -0.7. Let u = -10.8 - -9.4. Let t = u - n. Which is the nearest to 1? (a) t (b) 1\/4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 231 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 0.09 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 42316*t - 507613. Give c(12).\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.741 - -10.649. Let w = f - 13.386797. Round w to four decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112101011101 + -1122212?\nAnswer: -1112102211020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**3*d*d)\/(d\/(d*d\/(d**(-9)\/d)))*(d*(d*d**9*d*d*d*d)\/d*d)\/d*d*d\/(d*d**(3\/2))*d)**(5\/7) assuming d is positive.\nAnswer: d**(45\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2720474, -10881863, -24484168, -43527383, -68011502, -97936519?\n\"Answer: q**3 - 2720464*q**2 - 4*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8220096 divided by -42813.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.6 + 4.4. Let b(z) = -z**3 + 8*z**2 - 9*z + 11. Let m be b(7). Put d, -1, m in decreasing order.\nAnswer: d, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -62 - -67. What is the smallest common multiple of o and 9?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 5, 3, 145 in ascending order.\nAnswer: -6, 3, 5, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/33 and 47\/1299.\nAnswer: 14289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 11) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 175\/14*(-22)\/(-55)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, b: 12}. Give prob of picking 1 h and 1 b.\nAnswer: 28\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.29 - -0.23. Let g = l - 0.5. Let y = 0.019981 - g. Round y to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 4038738*t + 2. Let l(w) = 33*w**2. Give x(l(j)).\nAnswer: 133278354*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.6 + 5.6. What is the second biggest value in -5, -0.3, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68796210811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -83, -175, -267, -359?\n\"Answer: -92*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d + 14. Let n be t(6). Solve 5*l - 5*h - 40 = 0, -h - 5 = -n*l + 8 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2 + 6*d + 2. Let g(q) = 5*q - 2*q - 3*q + q. Let s be 35\/49 - 4\/(-14). What is s*o(r) - 6*g(r)?\nAnswer: -3*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 45834 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.6232 + 0.308. Let j = 0.31 + h. What is j rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2\/17 - 11\/51. Let r = -3.3 + 139.3. Let v = r + -140. What is the closest to t in 4, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**45\/w**23)**(1\/2))**35 assuming w is positive.\nAnswer: w**385","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 7) in base 16?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 268, -1\/4, 3, 5, -2.\nAnswer: -2, -1\/4, 3, 5, 268","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/17 in 506\/5, 2\/13, 5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*q - 87*q + 145*q + 33*q.\nAnswer: 6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2892 - 26066\/9. Find the common denominator of h and -2\/13.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 + 0)*(-4*f + 2*f**2 + 4*f + (f - 2*f + 0*f)*(2 - 2 + f)) to m + l*f**2 + k*f and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 + -23. Suppose 5*h + 3*o = 134, -o - 10 = a*o. Let n(i) = -i**2 + 46*i - 100. Let l be n(40). What is the highest common divisor of l and h?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/125 + 559\/5)*(1 - (-42)\/(-28))?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 144 - 5 + 13*u + 8 to q*u + k and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -5*q**5 - 10200*q**4 - 526010*q**3 + 1082640*q**2 - 546425*q = 0.\nAnswer: -1987, -55, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -137 + 117 + 30 + 3?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 9682?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**5 - 3*q**5 + 4*q**5 + (3*q**4 - q**4 + 0*q**4)*(-2*q + 3*q - 4*q) - 9*q**4 + 59*q**5 + 9*q**4 + (3*q**3 - 3*q**3 + q**3)*(3*q**2 - 4*q**2 + 0*q**2).\nAnswer: 53*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s + 20. Solve 3*i = -i - s for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 9670043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**5\/360 + 107*g**4\/12 - 11449*g**3 - 2824*g**2. Factor m(o).\nAnswer: -(o - 642)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 563 + 90 = 9*z - 454. Which is smaller: 116 or z?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = 3*f + 5*x, 5*f + 5*f - x - 7 = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -246286790 by 3.\nAnswer: -246286790\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 707*u - 125. Let n be p(-5). What is n rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 176479044 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5011041 divided by 2527?\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 42.75 + -43. Let s = d + 0.25. Which is the closest to s? (a) 3 (b) 21 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -3*p - 2. Let y(b) = 9*b + 2. Let n(a) = -8*a - 2. Let t(c) = -6*n(c) - 5*y(c). What is 3*q(x) + 2*t(x)?\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, 8, 1, -2, 5, 28?\n\"Answer: l**3 - 7*l**2 + 9*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*p + 921 - 113 = 36 - 4445 for p.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -486*b = -489*b. Suppose b = 53*i - 32479 - 61437. What is the hundreds digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 18*i - 4114 - 422. What is the common denominator of -3 + (447\/36 - 1) and 686\/i - (1 - 3)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -3. Suppose 0 = d*b - b - 26. Let v = 7 + b. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w + 4. Does 16 divide q(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 65*u**2 - 5*u + 96. Is h(-8) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 4*g**2 + 1. Let p be s(4). Let y be (0 - p)\/(5\/(-20)). Suppose r + 2*v = y*v + 22, 92 = 4*r - 4*v. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - g - 2*g**2)*(-2 - 2 + 2)*(72 - 79 - 189) to h + l*g + y*g**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 476 - 226. Suppose -24 = -5*b - 4. Suppose i + b*i = k. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**4 + 128*r**3 + 4429*r**2 + 19372*r + 15072 = 0.\nAnswer: -24, -4, -1, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -444.84*-649.\nAnswer: 288701.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 1474261 and 1474259 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3\/3 + 2536*u**2 + 75780*u.\nAnswer: u*(u + 30)*(u + 7578)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 32 = -36. Let o = r - -34. Suppose o*d = 4*d - 4. Solve -d = -5*i - 16 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*p**3 + 4*p**3 + 2*p**3 + 14*p**3 - 35 + 35 + 2*p**3 - 3*p**3 + 2*p**3 + (2*p**2 + 3 - 3)*(-7 - 4*p + 7).\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-3) - (-21)\/9. Let g = -0.13 - -0.44. Let p = g + -0.31. Sort -0.1, p, n.\nAnswer: -0.1, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9932 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of -4*b**5\/15 + 5*b**4\/8 + 2*b**2. Find the second derivative of z(p) wrt p.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 264 and 502744?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2302?\nAnswer: 2, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 9*a = 4*a + 19, -4*a + 14 = 2*f. Let -3*v**3 + 53 + 3*v**2 + 63 + 3*v + f*v**2 - 122 = 0. What is v?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1309 + -1333 + -1 + 18?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 10 + 2*z**2 - 27 + 8 + 1.\nAnswer: 2*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/(-9)*4*3. Let d be 76\/4 - (-8)\/(-2). Let s be (-65)\/d + 5 - 1\/(-3). Solve -3*k + g = -s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*p + 5 = 53*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -70 + 69.75. Let u be 7*4\/14*-2. Put 2, b, 0, u in ascending order.\nAnswer: u, b, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -403901*s + 6462427. Give n(16).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (72\/(-30))\/((-132)\/(-440)). Put -9, h, -20, 5 in descending order.\nAnswer: 5, h, -9, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -11*g**2 + 184*g + 54. Let n be w(17). Solve 8 = 4*b - i, -b = n*b - 2*i - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(36) - sqrt(9) - sqrt(9))\/(sqrt(36)\/sqrt(48)) + 2*(4 + -2*sqrt(300))**2.\nAnswer: -304*sqrt(3) + 2432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in 1, 0.5, 1\/4, -9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 157*s**2 + 14*s + 70. Let a be u(-6). Suppose 45*k = 47*k - a. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v - 6. Let x = -1427 - -1424. Let o be r(x). Determine l, given that 21\/2*l - o*l**2 + 15\/2*l**3 + 9 = 0.\nAnswer: -2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4 + (-25)\/(-10). Suppose -q + 34 = -v*q + 5*l, 0 = 4*l - 8. Let s be ((q\/(-2))\/3)\/2. Solve 0 = -a + 2 + s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 37791277 and -0.3.\nAnswer: -11337383.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 6. Let z be w(6). Solve 0*d - 4*d = -5*h - 3, z = 4*h + d + 15 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92675, -92658, -92647, -92648, -92667, -92710?\nAnswer: -92783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 926049 and 276?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, 2, 5, -18 in increasing order.\nAnswer: -18, -1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 7. Suppose 0 = -4*u + y + 28795, -u + 7220 = 6*y - i*y. Round u to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27783456953 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 152 - 65. Suppose 104 = y - h. Determine l so that 188*l**3 - 6*l**2 - 2 + y*l**3 - 377*l**3 + 8 - 2*l = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 17 (b) -0.53 (c) -0.04 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -1. Let l(v) = -3*v - 7. Let t(z) = -z + 12. Let i be t(11). What is i*l(k) - 6*w(k)?\nAnswer: -3*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 - 93*v**2 - 318*v + 1872.\nAnswer: -3*(v - 3)*(v + 8)*(v + 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1461 is divided by 66.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 556, 1949, 3344, 4741, 6140, 7541, 8944?\nAnswer: 10349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 + -0.2. Let k = z + -0.2. Which is the nearest to -1? (a) k (b) 1\/6 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1216 - 1208. Solve w + 4*f + 6 = -m, -w - 2*f = 8 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert ecd (base 16) to base 5.\nAnswer: 110124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*t - 4. What is the derivative of 1 - 3 - 3*x**2 + t + 1 wrt x?\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3\/4 - 34049*a**2\/2 - 100988053*a\/4 + 50528075\/2 = 0.\nAnswer: -1453, 1, 69550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 568, 2052, 4956, 9742, 16872, 26808?\nAnswer: 40012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 - 32) + (-35 - (-5 - 5)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5077 - -1?\nAnswer: 5078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 - 9*o + 436. What is v(-26)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20382 by 79.\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -462 or -463?\nAnswer: -462","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18664626 to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*v + 21*v - 18 = -q, 4*v = -q - 9. Solve -4*y - 5*j + 36 = 0, 4*y - j = -q*j + 24 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 338064368 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**3\/3 + f**2 - 3*f + 4. Let z be p(-4). Solve z*w + 2 + 3 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -812*a**2*p**2 - 2022*a**2 + 10*p**4 - 10 wrt p.\nAnswer: -1624*a**2*p + 40*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -20*a - 300. Let u be o(-39). What is the greatest common factor of u and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104616720 and 16.\nAnswer: 104616720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyfyffyvyfvf. Give prob of sequence yyv.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 1) + (10 - 1). Let r be (-4)\/((-8)\/l) - 13. Let f = r + 18. Solve -3*s + f*s - 5*v - 5 = 0, 3*v = -2*s + 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1252*l + 15825 = 33353 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l - l = 680. Calculate the remainder when l is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**3 + 20*o**2 + 380*o - 800.\nAnswer: -5*(o - 10)*(o - 2)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46689965 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3.301, -183, 2\/21, -1\/11, 0.2, 0.4?\nAnswer: -183","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l. Let r = -4 - -8. Suppose -d - r*d = -20. Let p(j) = -12*j. Let s(h) = d*p(h) - 40*z(h). Let y(m) = -2*m**2. Give y(s(i)).\nAnswer: -128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 13. Let r = 34 - 34. Suppose r = 2*t - c - 7, -2*c + 1 = -t - 0*c. What is the remainder when g is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 - 7)*(-717*t - 56*t - 79*t) + (4*t - 4*t + 2*t)*(-1 + 2 - 3) - 3 + t + 3.\nAnswer: 11073*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.07, -1, 3\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 4 = 4*k. Let v = 4 - k. Suppose -u - u = v. Solve m + m = u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*i + 81, -2*i + 4*k - 18 - 18 = 0. Let z be 26*i\/(-16)*-6. Let l = -105 - z. Calculate the highest common factor of l and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*g + 8 = 0, -37 = -3*c - 4*g - 48. Put c, 43, 2\/7 in increasing order.\nAnswer: c, 2\/7, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*z - 93 = -33 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -f**4\/12 - 5*f**3\/3 - f**2 + 29*f. Determine l(-7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 222*m**4 - m**3 - m**2 + 5*m - 69191.\nAnswer: 888*m**3 - 3*m**2 - 2*m + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -12*p**4 - 64*p**3 - 64*p**2 - 24*p - 4. Let w(j) = j**5 + 12*j**4 + 65*j**3 + 63*j**2 + 24*j + 5. Let m(o) = -5*n(o) - 4*w(o). Factor m(k).\nAnswer: -4*k*(k - 6)*(k + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 85.62 and 0.\nAnswer: 85.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*k = -8*k + 43*k - 230 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 3:48 AM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 - 6*u**3 + 16*u**3)*(-3*u - 2*u + 6*u)*(-2*u + 0*u + u).\nAnswer: -13*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 15671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1827 and 126?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 30211 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -15. Suppose 0 = 2*f - 9 + 93. Is (-2)\/z*(3 + f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/4*(-18)\/1350.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, 3\/2, 1.27, 10?\nAnswer: 1.27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -541*j + 38. Let v(a) = -3*a**2 - 10*a. What is k(v(t))?\nAnswer: 1623*t**2 + 5410*t + 38","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -4 - (-3)\/((-63)\/(-96)). Let g = 1 - -3. Which is the biggest value? (a) v (b) g (c) 3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**(1\/3)\/b))**17 assuming b is positive.\nAnswer: b**(34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4647, 18583, 41805, 74313, 116107, 167187?\n\"Answer: 4643*v**2 + 7*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -195158874 - -136958874. What is a rounded to the nearest 1000000?\nAnswer: -58000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 1, 4, 5 in descending order.\nAnswer: 5, 4, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 3*a + 81. Let x be s(-6). Suppose -16*h = -17 - x. Solve 2*o - 5 = -h*d, -2*d + 2 = 6*o - 2*o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**4\/9 - 136*x**3\/9 - 182828*x**2\/9 + 61072*x\/3 + 40656 = 0.\nAnswer: -198, -1, 2, 231","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.9 + -0.1. Let o = -2 + y. Let n = o + 5.76. Round n to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 150879804 is divided by 419.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93 - -163. Let p = -68 + g. Suppose 3*x + 13 = b, 0*x + 2 = -p*x. What are the prime factors of b?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 479390085, 479390081, 479390075, 479390067?\n\"Answer: -z**2 - z + 479390087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b - 7. Determine y(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/54, 3, 0.2, 0.066.\nAnswer: 1\/54, 0.066, 0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45605 - -62625?\nAnswer: 141533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 2 - 4. Let s be ((-2)\/w)\/(2\/(-12)). Suppose q**s - 4*q**2 - q + 2*q**2 + 0*q = 0. Calculate q.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -209736*c**3*r - 225*c**3 + 2*c**2*r + 6*r + 6203 wrt r?\nAnswer: -209736*c**3 + 2*c**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus 702?\nAnswer: -708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -366142 times 0.149?\nAnswer: -54555.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 - -10. What is the common denominator of -59\/4 and 50\/f*2 - -1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the third derivative of -11*l**7\/14 - 5*l**4\/24 + 7*l**3\/2 + 3*l**2 - 13. What is the second derivative of v(k) wrt k?\nAnswer: -1980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q - 2*q + 25 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 553 divide 77454286?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 4. Suppose -2*s = -h - 5. Let z(v) = -2*v + 1. Let w(x) = -2*x. Let c(y) = 3*w(y) - 2*z(y). Let j(o) = -2*o - 2. Give s*c(d) - 3*j(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12590*x + 12590*x - 130*x**2 - 3.\nAnswer: -130*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1 + (sqrt(1900) - ((sqrt(1900) - (2*sqrt(1900) + sqrt(1900))) + 2)) + -5)**2)*-4.\nAnswer: -68532 + 1440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*r + 22*r + 4 - 2*r**2 - 10*r)*(3*r - 4*r + 0*r).\nAnswer: 2*r**3 + 3*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -a**6\/120 + a**5\/5 + 19*a**4\/24 + 1362*a**2. Give o(14).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473195836 to the power of 1\/2, to the nearest integer?\nAnswer: 21753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6) - (-22)\/4. Let h be 0\/(1*2*-1). Suppose 0 = -3*d + w + 4, h*d + z*w = -d - 20. Let y(a) = -a**2 - a + 6. Determine y(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/30 - (-30044)\/(-105). What is s rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -3*q**2. Let t(m) be the third derivative of 7*m**6\/180 - 5*m**3\/2 - 25*m**2. Let u(x) be the first derivative of t(x). Determine u(o(v)).\nAnswer: 126*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -34822 (base 12) to base 15\nAnswer: -15c68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -220200221 (base 3) to base 12\nAnswer: -a507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 p when two letters picked without replacement from {p: 1, h: 6, m: 1, o: 8}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + -2. Let l = c - -7. Factor 2*h + 2*h**2 + 1 + 2*h**l - 3*h**2.\nAnswer: (h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 - 6*a**2 - 17*a + 58. Let n be q(7). Let x be (7 + -6)*n\/(-6). Solve f - x = -f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22417)\/(-406) + -52 + -3.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 - 0. Let w be -48 + 65 + 4 + 1305\/(-63). Which is the nearest to 9? (a) 0.2 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 51 - 48. Calculate the smallest common multiple of 10 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3*h**3 + 3*h**2. Let x be q(-2). Let j = -21 - x. What is the units digit of (-25)\/j + (-4)\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of -x**4\/12 - 8*x + 3. Let p(r) be the first derivative of y(r). Let t(k) = -4*k**2 + 6*k**2 + 2*k**2. Give p(t(b)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 73847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 281 + -228. Let d = -48 + b. Let o(l) = -9*l**3 - 4*l**2 - 2*l + 5. Let t = 5 + -8. Let q(r) = -5*r**3 - 2*r**2 - r + 3. Give d*q(j) + t*o(j).\nAnswer: 2*j**3 + 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, z: 4}. What is prob of sequence izz?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (34*3 - -4)*198\/36.\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -0.25, -1.2, -15\/22 in increasing order.\nAnswer: -1.2, -15\/22, -0.25, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3441606 (base 7) to base 9\nAnswer: -725376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 5*h + 3. Suppose 2*o - 95 = -h*g, 5*g - 7*g = -o + 30. Calculate the remainder when o is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54 rounded to 0 decimal places?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15441272 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (0 + -2 - -3 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 - 3 = 25*t, -5*y - 6*t - t + 2*t - 49 - 41 = 0 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6976045721 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.7 + 43.3. Let d = 49 - n. What is the second biggest value in -2\/9, 5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of 1\/270*m**6 + 0*m - 1\/45*m**5 + 2 - 2\/3*m**3 + 0*m**2 + 0*m**4. Let h(n) be the third derivative of i(n). Factor h(z).\nAnswer: 4*z*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.38604 - 0.02704. What is u rounded to one decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4, 4*a + 3*m - 11 = -5. Let x(j) = -4 + j**a - j - 5 + 8*j**2 + 4. What is the units digit of x(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -257*w + 1769 + 2712 = -1173 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1268 + -728. What is the highest common divisor of p and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3233 - 3233. Which is bigger: u or -3.781?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 + 0*h**3 - 3*h**3)*(0 + 5 + 1 + 1 + 2 - 2 + (-3 + 0 + 1)*(2 - 5 + 1) + (1 - 3 + 1)*(-3 + 3 - 1) + 4 - 4 - 1).\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 614737\/(-8) + -1 + 3. Let j = z - -76940. Let f = -100 + j. Which is the biggest value? (a) f (b) -1\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lilfffffllilllf. Give prob of sequence lfli.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00107773534 to 7 dps.\nAnswer: -0.0010777","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 76 = -0*z. Let l(t) = 29*t - 9*t - z*t - 26*t. Let c(d) = -d**2. Give c(l(g)).\nAnswer: -625*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**3 + 15*u**2 - 214*u - 2604. What is t(-12)?\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 a factor of 39162042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 3 (b) 17 (c) 0.18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 281717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 2*f - 5*p, -2 = -f + 4*p - 24. Let b be (4\/(-2) - f)*(-7 - -8). Let j(z) = -z**2 - z - 5. What is j(b)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.043135 - 0.037247\nAnswer: -0.080382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -61 divided by -7.\nAnswer: 61\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -400 + 741. Is x a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64 - 52. Let v = 8 + g. Calculate the highest common factor of v and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5.5 in -65, 0.1, 1\/2, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the third derivative of -z**7\/70 + 41*z**6\/40 - 219*z**5\/10 + 40*z**4 + 400*z**3 + 1491*z**2. Factor p(l).\nAnswer: -3*(l - 20)**2*(l - 2)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14354 to the nearest 100.\nAnswer: -14400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 520.\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*b - 82*b - 456 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -87, 54.\nAnswer: -87, -29, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - 190680 = -194630 - 1038021. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j**2 - 73*j + 3. Calculate the remainder when 42 is divided by a(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 5*s**2 + 2*s - 2. Let l be y(-3). Suppose -4*j + 145 = -9*j. Let p be l\/(-45) + j\/(-9). Solve 2*d + 3*a = p + 1, d + 5*a = -5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4074*j - 4176*j - 2244 = 0 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0 + 0)*(3 + 11 - 2*i + 1).\nAnswer: 2*i**2 - 15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*p - 33 - 26 = 0, 4*z - 58 = -2*p. Let u = 313 + -303. Suppose -z*l = -u*l - 192. Is 12 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -0.42?\nAnswer: 0.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes after 10:07 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1245 by 7.\nAnswer: 1245\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 39824*a**2. Let u(q) = q. Determine u(v(x)).\nAnswer: 39824*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 382464?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3323682 and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of 0*d**4 + 32*d + 0*d**3 + 21\/2*d**2 + 0 + 0*d**5 - 1\/15*d**6. What is the derivative of v(q) wrt q?\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/5)*c*c**7*c\/(c\/c**5)*c*c\/(c\/(c**(-1\/2)*c)*c)*c)**(-20))**(-9\/11) assuming c is positive.\nAnswer: c**(2646\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*l**3 + 32*l**3 + 34*l**3 - 100*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s**2 - 8*s + 5. Let x(w) = 2*w**2 - 8*w + 5. Let c(z) = 4*p(z) - 5*x(z). Determine c(5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1271)\/(-930) - (-24)\/(-20)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20330 - 8977. Let j = t + -317799\/28. Let w = -11\/4 + j. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of -b**5\/510 + 5*b**4\/102 - 25*b**3\/51 + 3*b**2\/2 - 6*b. Let c(s) be the first derivative of p(s). What is u in c(u) = 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 2530?\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**3 + 55*b**2 + 1000*b + 6000 = 0. Calculate b.\nAnswer: -20, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g + 59. Let q(y) = -y**2. Give q(u(x)).\nAnswer: -x**2 - 118*x - 3481","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the second derivative of 7*f**3\/2 - 62*f. Let i(x) = 9*x. Give a(i(c)).\nAnswer: 189*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6706, 9853, 13000, 16147, 19294?\n\"Answer: 3147*j + 3559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*l - 3*s, -2*s = 3*l - 7 - 10. Let z = 378.44 - 378.14. Which is the fourth smallest value? (a) l (b) z (c) 6\/5 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 + 6*s**2 - 4*s + 4. Let x be i(-5). Let r be 1*3 - 10*13\/(-26). Differentiate x*w + r - 22*w - 13*w with respect to w.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1994322 divided by -33?\nAnswer: 60434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(847) + 0 + sqrt(847))*1*1)**2*2 + 2 + 2.\nAnswer: 6780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - u - 12 = -3*u, -4 = -3*b + 2*u. Suppose -3*n + 8 = 4*a - b*a, 4*a = -5*n + 12. Solve 3*p = -n - 5 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/3 - 105558*z**2 + 316667*z\/3 + 633346.\nAnswer: (z - 316673)*(z - 3)*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g + 7*g + 3 - 1 + 2*g**2. Suppose -2*w = -160 + 156. Suppose -o = 5*j + 8, w*o - 22*j + 11 = -27*j. Give h(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of 20*k**2 + 1\/4*k**4 + 0*k + 7 + 0*k**3. What is the second derivative of x(a) wrt a?\nAnswer: 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/20)\/((-114)\/(-30)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + 0 - (356 + -353)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 40\/(-16) + 4 + 15\/(-2). Let y(p) = p**2 + 3*p + 3. Let f(r) = r. What is c*f(n) + 2*y(n)?\nAnswer: 2*n**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57928671.\nAnswer: 3, 491, 13109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/11 and 308\/(-120) - 6\/(-15).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**2 - 3*k**2 - 2*k**4 + k**2 + 0*k**4 - k**3 in the form b*k**2 + x*k**3 + i*k + h + v*k**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10141*a - 305 + 307 + 49*a**4 + 10142*a to the form o*a + m*a**4 + c + z*a**2 + y*a**3 and give m.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**0)**(1\/15))**(4\/11))**15 assuming c is positive.\nAnswer: c**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13 and 2092389.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-42)*9\/(-18).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 6 - 8*n - 1 - 5.\nAnswer: -10*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is d2a (base 15) in base 8?\nAnswer: 5625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = x - 3*q - 1243, 0 = -4*x - 4*q + 4972. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1380 by 60.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-78)\/(-260) - 34\/(-20). What is the second derivative of -116*y - 52*y + 8 - 88*y**b - 11 + 3 wrt y?\nAnswer: -176","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*y - 1218, 0 = 2*g - y + 6*y - 622. What is the greatest common divisor of g and 816?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 6*f - 36 = 0. Solve k - f*k + 5 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b - 9. Let a be o(-6). Suppose -a*m = m. Suppose 2*f + 4*q + 20 = m, -2*f + 6*f - q = -4. Let u(k) = k**3 + k**2 - k - 1. What is u(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(-14*t - 18*t + 11*t) - 3*t + 4*t - 2*t.\nAnswer: -43*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**5\/45 - m**4\/9 + 9*m**2. Factor o(p).\nAnswer: -4*p*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6463?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 874961 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 46728 divided by -24?\nAnswer: -1947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -3 (b) 0.5 (c) 10\/21 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ul when two letters picked without replacement from lullllauuu.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16289838?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - l = f - 230, 0 = -5*l - f + 380. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 1, 2\/11, 2.4265, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*s - 2600 - 3702. List the prime factors of s.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 78444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -561745, -561714, -561683?\nAnswer: -561652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/5)\/(45\/1125)*2*24\/40.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 17\/4 (c) 0 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 129603487?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -111 = 6*l + 3*j, 7*l = -12*l + 3*j + 36 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 2:24 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -3, -98\/27, -8, -3\/5 in descending order.\nAnswer: -3\/5, -3, -98\/27, -8, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(3\/5)*k**(-2\/19)*(k**(2\/3)*k)**(-17\/6) assuming k is positive.\nAnswer: k**(-7571\/1710)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 184465\/8 + -23054. Let x = 1099 + -19801\/18. What is the common denominator of x and c?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.102082134 - -14539.\nAnswer: 14541.102082134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-3) + 8\/(-2)*1. Let d(n) = -3*n**2 + 3*n - 1. Let t(u) be the first derivative of -4*u**3\/3 + 2*u**2 - u - 1. Calculate v*d(h) - 5*t(h).\nAnswer: 2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -4, -618 in decreasing order.\nAnswer: 0, -4, -618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 3532?\nAnswer: 10596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1167*y - 29*y = 1694*y - 297670 for y.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12789184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 68 = -2*z, 4*c + 3*z = c + 48. Let y be -4 - (-42)\/c - 2\/(-4). Solve y = 4*n - n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0176146 to four dps.\nAnswer: 0.0176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1234 - 1144. Let p be (-13 + 1)\/(-4*5\/270). What is the greatest common divisor of p and l?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 545500 or 545496?\nAnswer: 545500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84885 is divided by 28275?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -27*j + 13. Let p be 4\/2 - (0 + 16). Is r(p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112 = -0*d - 28*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 + 66536048?\nAnswer: 66536052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (337*z - 337*z + 48*z**3)*(1 - 1 + 2*z)*(1 + 0 + 0) to d*z**4 + l*z + g*z**2 + n + p*z**3 and give d.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**3 - 6324464*j**2 + 12648931*j - 6324466 = 0?\nAnswer: -6324466, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((1 - -2) + -10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/((-9198)\/(-27))*-1*20\/30.\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11554*d + 217155 + 337437 for d.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*h = 63*h + 55*h + 336 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7109959 to the power of 1\/5, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -10085*m*z - 7*m - 90 wrt z?\nAnswer: -10085*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**5\/5 + 38*q**4\/5 - 3044*q**3\/5 + 584*q**2 + 1200*q = 0. What is q?\nAnswer: -50, -1, 0, 2, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 8*n**2 - 8*n - 6. Let s be l(-9). Suppose 10*k - 14 = 12*k. Let b = k - s. What is the highest common divisor of 88 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4032 = 2*r - 3554. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3501693.\nAnswer: 3, 13, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204*b + 219*b - 3630 = 0. Does 25 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -27.019788242258.\nAnswer: -31.019788242258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14182 = -5*f + 21423. Suppose 2*d + 3875 = 2*l - f, 4*l - 2*d = 21996. What is l rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 times 644734?\nAnswer: 45776114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -25*t - 303. Let o(p) = -37*p - 454. Let f(r) = 5*o(r) - 8*w(r). Is f(14) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9 + (4 - (1 - -4)). Solve -13 = -4*c - 3*g, -4*c = -2*c + 2*g - n for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (104\/(-91))\/((-2)\/28*4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 3*g + 3. Let y = 3 + 0. Suppose -c + y = -5*v + 26, 2*v = c + 11. Calculate a(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/(2310\/(-524)) + 1. Let x = o + -2\/165. Which is the biggest value? (a) 4 (b) 2 (c) x (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11001*q**2 - 4544*q - 2?\nAnswer: -22002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36 - (-19 - -158)) + 65.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 99. Is -87 <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3659*o - 1950 = 3657*o. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 7\/2 of a century?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2 - 18*w + 77. Calculate x(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1076 - 1045. Calculate the remainder when 184 is divided by f.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 - 10*n - 120 + 120)*(-1 - 1 - 2).\nAnswer: 12*n**2 + 40*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67 + 19. Let c = 556 + h. Suppose -4*t + 1512 = -4*x + c, -753 = -3*t - 5*x. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/9728 and -137\/800508.\nAnswer: 102465024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a + 13*a - 16 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 63*1\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 97*o*q**2 + 105*o*q wrt q?\nAnswer: 194*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -175*n - 31. Determine i(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0 = 2. Suppose -17 = 9*c + 1. Let o be c\/(-6)*-9 + 25. What is the highest common divisor of w and o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 4620*f + 203510. Give t(-44).\nAnswer: 230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 158 - 158.73. What is r rounded to one decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*w, 5*m + 2*w - 141 = 3*w. What is the second derivative of -4*a**5 - 19*a - m*a + 61*a wrt a?\nAnswer: -80*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 a, and 1 u when four letters picked without replacement from auauayuyaa.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of 2*g**3\/3 - 10*g**2 + 11*g - 18. Calculate the remainder when w(12) is divided by 17 - ((0 - -1) + -4).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42019.\nAnswer: 42019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 7, 3, -1, 11 in decreasing order.\nAnswer: 11, 7, 3, -1, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6274451 + 6274411.00017. Let o = 247 + -287. Let v = o - a. What is v rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**13\/(i*i**(4\/21)))**(15\/7) assuming i is positive.\nAnswer: i**(1240\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -76718, -153433, -230146, -306857?\n\"Answer: n**2 - 76718*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.08 and -0.08.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-31)\/(-341))\/(5\/2 - 2)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvkv when four letters picked without replacement from {w: 1, c: 1, k: 1, v: 10}?\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*h = -11*h + 36*h + 1356 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -7, -2, -27 in descending order.\nAnswer: 5, 4, -2, -7, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54412416 and 4032.\nAnswer: 380886912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3561829 and 538.\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226385, -452769, -679153?\nAnswer: -905537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*i, 0 = -15*k + 10*k - 4*i - 192. What is the common denominator of 47\/156 and (5\/k*-4)\/((-2)\/(-9))?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 957, 23, 3, -204 in decreasing order.\nAnswer: 957, 23, 3, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 703653 to the power of 1\/2, to the nearest integer?\nAnswer: 839","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2417, 4811, 7203, 9593?\nAnswer: 11981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 19. Let b(v) = 12*v - 58. Let o(n) = 2*b(n) - 7*f(n). Let l be o(5). Is 15*l\/(-9)*277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 109498941 to the nearest integer?\nAnswer: 10464","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1053) + -1 - ((sqrt(1053)*-3)**2 - sqrt(1053))*-4) + -1)*-2.\nAnswer: -75812 + 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 791.\nAnswer: 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -150be8 (base 15) in base 6?\nAnswer: -33431545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5984 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the third derivative of -c**8\/784 + c**7\/245 + 3*c**6\/70 - c**5\/10 - 11*c**4\/56 + 6*c**3\/7 - 182*c**2. Determine k so that i(k) = 0.\nAnswer: -3, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3125?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 45*p**2 - 3 - 2 - 29*p**2 - p**3 - 18*p**2 + 6*p + 6. Determine t(-5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44\/(-8) - 4 - 3\/(-2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1421.000000391 - -1421. Round r to seven decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13986*d - d**2 - 13986*d.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 - 6*i**2 + 9*i - 5. Let n be (-392)\/(-63) + 2\/(-9). Is q(n) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 232222 (base 4) to base 9.\nAnswer: 4077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (-5412)\/(-360) + (-2)\/(-15)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 3*m**2 - 8*m + 14. Let y be t(3). What is the derivative of 21 + 0 + y - 18*n**2 - 10*n**2 + 4 wrt n?\nAnswer: -56*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -106*o + 47. Let z be r(-3). Which is greater: z or 367?\nAnswer: 367","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106*y - 22705 + 127433 = 0. Calculate the lowest common multiple of 64 and y.\nAnswer: 15808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12764 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 20 (b) 38 (c) 54\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 5 = 5*z, 4*z - 1081 = -2*v - 1089 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**3 + 50620*k**2 + 32825808*k = 0.\nAnswer: -24644, -666, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.01, -1\/5, 0.5, 11, 0 in descending order.\nAnswer: 11, 0.5, 0, -0.01, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97772830 to the nearest integer?\nAnswer: 9888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(93\/(-18)*(3 - 9)). Sort -5\/4, 22, v, -0.5 in decreasing order.\nAnswer: 22, v, -0.5, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441 (base 7) in base 6?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 28288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/4*((-10)\/(-4))\/(-5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -644*o - 6476 - 5950 = 5606 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(2057) + sqrt(2057) + 0 + 5)**2 - (sqrt(102)\/(sqrt(294) - (sqrt(294) + sqrt(294)*-1)) + 5).\nAnswer: 307*sqrt(17)\/7 + 8224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1213 - -11?\nAnswer: -1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 5)*64\/6. What are the prime factors of b\/6*(-6)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -786*u + 5541. Let f be z(7). Solve -9*s = -3*y + f, -s + 2*y - 12 = -1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*i**3 - i**3 + 2*i**3 + i**5 + (-7 + 2 + 3)*(-19 + 19 + 9*i**5) + 4*i**5 - 2*i**5 + i - 2*i.\nAnswer: -15*i**5 + 6*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/2086145 and -38\/903.\nAnswer: 43809045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*n**3 - n + 8*n - 4*n - 5*n - 19*n**3.\nAnswer: -3*n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, k: 2, h: 7}. What is prob of sequence bbhk?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a + 133 = -11. Let o be (3\/104)\/(a\/1856) + -2. Which is smaller: 1 or o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 535.8913g in milligrams?\nAnswer: 535891.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 8*q**2 - 2*q - 5. What is z(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -z - 56 - 25, 2*s + 4*z = 106. Let g = 79 - s. Is 18 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142458229, -142458226, -142458221, -142458214, -142458205, -142458194?\nAnswer: -142458181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/65 - -69\/130. Let x be -4 + (-3 - 1)*(-150)\/160. Which is the third smallest value? (a) x (b) -4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 12:19 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43940569 is divided by 6884.\nAnswer: 6881","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4313*u = 602*u + 159510 - 14781 for u.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/7007 and -65\/658.\nAnswer: 658658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/662192891 or 0?\nAnswer: -6\/662192891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 497172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 1. Suppose 0*m = 5*m + 5. Let g(c) be the first derivative of c**2\/2 - 31. Determine m*x(a) + g(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6241944?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.05 - 2. Let c = 8.9516 + -9.0516. Sort c, -0.5, -2\/5, v in decreasing order.\nAnswer: v, c, -2\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 719*d**2*r**2*u + 2*d*r**2*u + 31*d*u + 2*r**2*u wrt d.\nAnswer: 1438*r**2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 36, 53, 70, 87?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-564)\/(-128) + 0)*152\/4788 and -167\/42.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76125*8\nAnswer: 609000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*d + 2*d - 8510347 = -7*d. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h - s = -3, 2*h = -4*s - 12. Let g = 263 - 263. Solve h*u - 3*u + 5 = g for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/5 (b) -2\/13 (c) -0.00125 (d) 89\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 4356 = -4352, -25 = 5*n + 5*f for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 + 18. Let d be -2*(483\/(-6))\/q. Let a = -18 + d. Solve 4*v - 23 = 3*j - v, -2*j - 22 = -a*v for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + (-28)\/(-8) + -6. What is the third smallest value in 0.1, 5\/3, -3\/7, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5 = -2*j. Suppose 0 = 3*o - 3, -a + j = -o - 0. What is the third derivative of 21*r**2 - 6*r**6 - 33*r**a + 34*r**6 - 28*r**2 wrt r?\nAnswer: 3360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of -y**6\/300 + y**5\/75 - y**4\/60 - 6*y**2. Factor l(z).\nAnswer: -2*z*(z - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 19*o + 4. Let s be x(3). Suppose h - 4 = 5*g - 0, -40 = -h - 4*g. Let f = s + h. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3985 + -3960. Solve 3*p - 216 = -3*a - 201, 0 = -5*a + x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01529 times -3\nAnswer: 0.04587","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4 + 0 = 0. Let y = z - 4\/3. Factor 0 + 2\/3*f**2 + y*f.\nAnswer: 2*f*(f + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-28)\/28 - 5*-2\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*c + 66*c = -3*a + 20, -4*c + 16 = 2*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 4*q - 5. Give m(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3078155920.00000013 + 3078155902. Let y = f + 18. What is y rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 i, and 2 q when four letters picked without replacement from sqqqpqiqigsiipaqsqsq?\nAnswer: 448\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 10133?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3 + f + 7 + 3*f - 3. Calculate d(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*c - 24 = 0, 3*c = -w + 5*w - 15. What is the third derivative of -2*n**6 - 9*n**2 - n + n - 6*n**w wrt n?\nAnswer: -960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11 - 10.9. Let f = -2.9 - v. Let k = 0.4 + -0.8. Put f, 0.5, k in ascending order.\nAnswer: f, k, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 23*d - 25. Let s be o(30). Suppose 0 = 4*w - 4*z - 1340, -3*w + 3*z = -w - s. Calculate the greatest common factor of w and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 851351?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b**4 + 2*b**3 - 520373*b**2 - 11*b + 49230?\nAnswer: 12*b**2 + 12*b - 1040746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + 2*v + (-4*v + 4*v + 6*v)*(3 - 4 + 0))*(-7 - 5 + 5).\nAnswer: 28*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 8*u. Let q(w) = -w - 3. Let d be q(-6). Let c be f(d). Find the common denominator of (-166)\/c - 3\/(-6) and 73\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5249\/25 - -210. Let t(z) be the second derivative of 0*z**3 + 0 + h*z**6 - 2*z + 1\/105*z**7 + 3\/50*z**5 + 0*z**2 + 1\/30*z**4. Factor t(n).\nAnswer: 2*n**2*(n + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6, 37, 88, 159, 250?\n\"Answer: 10*u**2 + u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h + 19*h - 126. Suppose 12*s - 2030 = h*s. Is s a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(7 + -12 - -2) + -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2*x + 3*c = -751, 165 = -x - 4*c. What is the third smallest value in -4, x, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.13195 (b) 2\/19 (c) 1\/5 (d) -3\/8 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (66\/33)\/((-4)\/(-10))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 0 + (30 - 25) + (1 - -4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -37 + 10. Let s be (-2 + g\/(-6))*2. Solve -20 = l - 3*j - 0*j, -4*j - 5 = s*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -6. Let k(d) = 2*d. Let p(o) = o. Give u*p(f) + 2*k(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -372 = -2*y + c + 1426, 3*c - 1814 = -2*y. Let x = y + -642. What are the prime factors of x?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 2, 3*r - 222 = -5*t - 19. Let s = t - 29. Suppose 3*i + 2 = s. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 258*y + 2733 + 199*y - 2734 to h*y + f and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + (-7 - -80) - 11 - -11?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4 - 36*c**3 - 114*c**2 + 520*c + 600.\nAnswer: -2*(c - 3)*(c + 1)*(c + 10)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*k**2 - 64 + 17*k**2 + 9*k**2 - 21*k - 52 - 36*k**2 in the form s*k + g*k**2 + t and give t.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 8 = -0. Let o(d) = 51*d**2 + 5*d + 5. Is o(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -145 + 124. Let l be (-16)\/(h*6\/9). Solve -4*c**2 - 36\/7*c**3 - 20\/7*c**4 - 4\/7*c**5 - l*c + 0 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25333000 rounded to the nearest 100000?\nAnswer: -25300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 414792 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13109\/1788 - 1\/596. Let t = 1\/12 + c. Find the common denominator of 57\/2 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + 2*y = -3*l - 6, 0 = -4*l + 2*y - 22 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = i - 425 + 4, 4*q = -i + 445. Calculate the highest common factor of i and 169.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3729 = -n, 4*n - 888 = -5*i + 3787. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4*i = -102. Let d(y) = 20*y - 111. Calculate the remainder when i is divided by d(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 6. Find the third derivative of -2*v**2 + 11 + v**t - 11 wrt v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*g**6 - 14646*g**5 - 178*g**3 + 3*g**2 - 2387*g + 66 wrt g?\nAnswer: -240*g**3 - 878760*g**2 - 1068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 12:36 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*w - 21*w = 12 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 smaller than 1194.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -322010010 + -232?\nAnswer: -322010302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 1:13 PM?\nAnswer: 5:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t**2 - 5*t - 4. Suppose 0 = -3*n + 3*j + 98 - 26, 2*j + 92 = 4*n. Let m(l) = n*l**2 - 2*l - 6*l**2 - 2 - 5*l**2 - 12*l**2. Give 4*a(x) - 9*m(x).\nAnswer: x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-427)\/(-122) - 5914\/(-4) and 42?\nAnswer: 10374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 13*t - 2*t - 4*t - 4*t + t**2. Calculate the smallest common multiple of 22 and o(3).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*m, 7*d + 3*m - 5 = 2*d. Suppose -5*t = -t - 8, -t + 12 = 2*q. Let c = q - d. List the prime factors of c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_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 the tens digit of 763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 13093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -26?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11053\/16 + -693. Calculate the common denominator of s and -11\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20 - -28. Let h(o) = 10*o + 11. Is h(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3808e - -4?\nAnswer: -3808a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0916 and -2268.3.\nAnswer: 207.77628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 0 + 2\/4*88\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -16*z**2 - 5*z - 16. Let j(o) = -3*o**2 - o - 3. Let m(c) = -11*j(c) + 2*n(c). Let g(y) = 1. Determine 3*g(i) - m(i).\nAnswer: -i**2 - i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 11:16 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6450 - -6456. Let d(p) = p**3 + 43*p + 4*p**2 - 10*p**2 - 43*p - 7. What is d(z)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + -201312?\nAnswer: -201320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64*p + 272*p + 255*p + 156*p)*(-4*p + 3*p + 2*p) + 11*p**2 - 3 + 3.\nAnswer: 758*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 122, 232, 344, 458?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.3 - 1.1. Let t = 0.3 + h. Let m be ((-12)\/4)\/(81\/(-6)). Which is the nearest to 0.1? (a) 2 (b) t (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/11 - 2765632*j**2\/11 - 956203425754*j\/11 - 78390085904996\/11.\nAnswer: -2*(j + 82)*(j + 691367)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -1, -5, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -13, 8564, -0.03?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8.3 - -74.3. Let a = 68.9 - o. Let j = a + -2.8977. What is j rounded to four dps?\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -11. Let g be 5\/4*(n + 3). Suppose 13 - 48 = -g*f. What is the remainder when f is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 3*l**2 + 8*l - 25. Let i be f(3). Which is smaller: i or 5\/47?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1589 - 875. Let p = h - 714.62. What is the closest to 1\/2 in -0.1, -2, p?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33914.7 - 33915. Let r = -0.3 + -0.7. Which is the nearest to -1.2? (a) 1\/6 (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 5*a**2 - 2. What is the remainder when 207 is divided by p(2)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 - (2 + -12 + (29 - 8))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 203426 + -109639. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18.9 + 20. Let q = r + -3.1. Suppose 4*i - 6*i = -5*n + 9, 0 = 2*n - 2*i. What is the third biggest value in q, -0.2, n?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -7*d**5\/2 - 7*d**3\/6 + 54*d. What is the second derivative of t(c) wrt c?\nAnswer: -420*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 26*c**3 + 8*c**2 - 8*c - 8. Let k(x) = 9*x**3 + 3*x**2 - 3*x - 3. Let h = 13 - 16. What is h*r(a) + 8*k(a)?\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, h: 2, d: 2, s: 1, t: 2, c: 1}. Give prob of sequence ct.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (5 - (16 - (-1 - -7))) - 5\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -3. Suppose 3*m - 7 = 4*n, -2*m = -3*n - n - r. Differentiate -2*b**n - 1 + 0 + 0*b**2 with respect to b.\nAnswer: -4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**4*o*s + 7*d**4*o - 6*d**4*s + d**2*o*s + 143*d**2*o - 2*d*o wrt d?\nAnswer: 48*d*o*s + 168*d*o - 144*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -29254 times -31\nAnswer: 906874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 409, -14 in ascending order.\nAnswer: -14, 3, 409","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(25\/4)*c)**(-1\/26) assuming c is positive.\nAnswer: c**(-29\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b. Let d(s) = 5*s**2 - 8*s + 18. Let c be d(2). Suppose 19 = -3*y + c*y. Let q(p) = 1. Calculate y*q(v) - 5*a(v).\nAnswer: -5*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -2*p + p + 0*p + 2. Let j(k) = -6 + 2 - 2 + 3 + k. Let n be j(6). Let i(f) = 1. Calculate n*i(a) - 2*v(a).\nAnswer: 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/4*4 - 351\/174. Let x = h + 121\/290. Suppose 3*q**3 - q**5 - 4\/5*q + x*q**4 + 0 + 4\/5*q**2 = 0. What is q?\nAnswer: -1, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**6\/30 + 7*x**5\/60 + 7*x**4\/24 - 4*x**2. Let l(p) = -p. Let m(d) = -5*l(d) - n(d). Factor m(v).\nAnswer: v*(v - 2)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.40052+-0.2\nAnswer: -4.60052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2739 divide 42738065?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 617 - 336. Let l = d - 89. Suppose w + 0*h = h - 40, 5*w + l = -3*h. What is w rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384239041 is divided by 82.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4460299607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**3\/5 + 40071*z**2 - 2003626*z\/5 + 961752.\nAnswer: (z - 6)*(z - 4)*(z + 200365)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 0*p - 12. Let c(k) = k**3 + 3*k**2 - 4*k + 4. Let j be c(p). Let v be (0 - -1)\/(-1)*0. Solve -b + 2 - j = v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(125) - (sqrt(125) - (0 + sqrt(125))))**2*5)*2.\nAnswer: 1254","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 0.171 (c) -10\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eaaaalearraaaraaraea. What is prob of picking 3 a and 1 l?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n - 55 = 0. Let a = -8 + n. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 9*u**2 - 10*u + 4. Let q be w(-10). Let b = 3 - 3. What is the nearest to 0.1 in b, q, -4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 62 + (-6 - -41 - 0)?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 83720 divided by 184\nAnswer: 455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 232*y**2 - 161*y - 60. Let r(a) = 233*a**2 - 160*a - 50. Let q(l) = -5*o(l) + 6*r(l). What is the second derivative of q(i) wrt i?\nAnswer: 476","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26.21 take away -5.12?\nAnswer: 31.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1579 - 1582. Let h(l) = 4*l**2 + 10*l + 3. Calculate h(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 4, -4*j + 8*b - 10*b - 80 = 0 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyymysyo. Give prob of picking 1 m and 2 y.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 12:09 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-3)))\/f**(5\/4) assuming f is positive.\nAnswer: f**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 + 245427*w**2 + 3680730*w.\nAnswer: 3*w*(w + 15)*(w + 81794)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from khhjkffufuhkfh. Give prob of sequence uj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 379 + -109. Suppose 3*f - 3*a - 135 = 0, 0*a - l = -5*f - 4*a. What is the highest common divisor of f and 125?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tjj when three letters picked without replacement from {j: 10, t: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 1 (c) 5 (d) -481 (e) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**5 + 2*w**5 + 2*w**3 - 6*w**5 + (w**5 - w**5 - w**5)*(2 + 1 - 5) + w**5 - w**5 - 4*w**5.\nAnswer: -4*w**5 + 2*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 6 - 0, -2*w - 156 = -3*i. Calculate the highest common divisor of 3618 and i.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**10\/c**7)\/(c\/((c\/((c*c*c\/(c*(c**7*c)\/c*c))\/c*c))\/c)*c*c**(2\/23)))**11 assuming c is positive.\nAnswer: c**(1749\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-155)\/(-35) + -5)*(0 - 14). Suppose o - 5*j - 6 = -3*o, 4*o - t = 4*j. Which is the nearest to -2? (a) 0.1 (b) 0.5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - u - 46. Let r be h(7). Is -10 >= r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2397\/7, -726\/5, 0.09?\nAnswer: 2397\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 12:36 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 5*i**3 + 130655*i**2 + 835018175*i - 243248974875 = 0?\nAnswer: -13205, 279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 105695 - 31961. What is the thousands digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9094 + 2*j**4 - 3*j + 9094)*(0 + 0 - j).\nAnswer: -2*j**5 + 3*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58317 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31 - 43 + 26 + (3 - 2 + 1)*(-3 + 3 + 1) + 3 + 2 - 4 + 3 + 0 + 3 + (-2 - 3 + 3)*(1 + 1 + 0))*(2*k + 2*k - 5*k).\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -10.846179, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.362019kg to milligrams.\nAnswer: 6362019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 19*z**3 + 5*z + 3. Let y(p) = -10*p**3 - 3*p - 2. Suppose -15*t = -8*t - 21. Give t*f(r) + 5*y(r).\nAnswer: 7*r**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15864314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/9309 and -73\/3852?\nAnswer: 111708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w**5\/6 + 5482*w**4\/3 + 14490476*w**3\/3 - 2937734896*w**2\/3 + 137427394888*w\/3 + 597639325472\/3 = 0. What is w?\nAnswer: -5578, -4, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 6 - 3*h)*(3*h + h - 5*h)*(64*h - 138*h + 62*h) to the form p*h**2 + f + c*h**3 + v*h and give c.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 50 = p. Let s = -106 + p. Let b = 96 + s. Is b a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 3) + 6 + -6 + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 13*u - 4 = 5*u + 11*u - 2*d, -6 = 5*u - 3*d for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (8 - (-364)\/(-65)))*165\/18.\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759553 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21664 is divided by 138.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(420)\/(sqrt(7)*1)*3)\/(-4*sqrt(243)*-1 - (sqrt(243) - (sqrt(243) + (-1*sqrt(243) - sqrt(243) - sqrt(243)))*5)).\nAnswer: -2*sqrt(5)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -14 (b) 49 (c) 2028 (d) -3 (e) -2 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 11*b = -2720. What is the highest common divisor of 34 and b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/347?\nAnswer: 6\/347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (952\/(-16))\/17*30\/(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(a*a*a**(2\/25))))\/((a**(7\/5)*a*a)\/a)*a**(-2\/3)*a\/a**4 assuming a is positive.\nAnswer: a**(-374\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-8) - (-14)\/8. Suppose 9*p = x*p + 763. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 344, 657, 950, 1217, 1452, 1649, 1802?\n\"Answer: -p**3 - 4*p**2 + 332*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2155.\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4192241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -736 + 739. Which is the smallest value? (a) u (b) 0.7 (c) -67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -70 greater than -67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41334587.\nAnswer: 7, 37, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4801, 17 in descending order.\nAnswer: 4801, 17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9178720 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 624421\nAnswer: 249768.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 20 - -2421?\nAnswer: 2441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - i - 837 = -0*i, 2*d - 1672 = i. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.26, -2\/7 in descending order.\nAnswer: 0.26, 0, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 136, 1, 2991, -5 in descending order.\nAnswer: 2991, 136, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (108\/216)\/(2\/32)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 991 divide 5366487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -244666*a**2 + 122329*a**2 + 122334*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5549*s + 4 - 3 + 69*s + 5*s**2 - 2*s**2.\nAnswer: 3*s**2 + 5618*s + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/((-616)\/(-147)))\/((-2)\/22)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - w**2 + 3*w + 2*w**2 - 2*w**2.\nAnswer: -w**2 + w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the third derivative of 3*p**4\/4 + 67*p**3\/6 - 36*p**2. Differentiate j(o) with respect to o.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96432217?\nAnswer: 7, 13776031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 11:56 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25 - 68 + 271*f + 72*f - 64 + 115*f with respect to f.\nAnswer: 458","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4072 - -4.\nAnswer: -4068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*k + 2)*(4 - 4 + 2*k) + 4 - 4 + k**2 - 4 + 8*k**2 + 4 + (0*k - k + 0*k)*(3 - 3 - k) - 2*k**2 + 3 - 3 + 1 - 2*k**2 - 1.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + 252320310?\nAnswer: 252320313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the third derivative of v**4\/12 + 39*v**2. Let z(t) = 2 + 1 - 3 - 16*t**2. Determine k(z(r)).\nAnswer: -32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 50 + -8 - (539 - 525).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, z: 5, i: 8}. Give prob of picking 1 i and 1 z.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(110)\/sqrt(2) - (-1*sqrt(660))\/sqrt(12))\/(sqrt(110)\/(5*2*sqrt(10))).\nAnswer: 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -2*w**6\/3 - 116*w**5\/5 - 270*w**4 - 2800*w**3\/3 + 2000*w**2 - 79. Find s such that i(s) = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 8:31 AM?\nAnswer: 7:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6306246.2 rounded to the nearest 100000?\nAnswer: -6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j. Let v(z) = 12*z + 5. Let g(a) = -10*a - 4. Let m(w) = -5*g(w) - 4*v(w). What is -6*i(f) - m(f)?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 13*g + 18. Let t be k(-8). Let z = 27 + t. Solve -z*x + 4*j = -2, -3*j + 13 = -5*x - 4*j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 29. Let j = n + 42. Suppose -2*s + 4 + 6 = -2*m, -s + 3*m = -9. Solve j = s*t - 6*w + 3*w, 4*w = -3*t + 15 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 206721984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.5, -1255458, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 2, z: 3, l: 4}. What is prob of sequence zjzz?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/17 in 215852, -1\/7, 142?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35323796*n**5 + 2*n**3 + 17*n - 994889?\nAnswer: -706475920*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3 - 3228*h**2 + 233052*h + 479040 = 0. What is h?\nAnswer: -2, 80, 998","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 - 2\/2) + 3. Suppose 299*z = -2*w + 302*z - 2, 2*z - 18 = -7*w. Factor 2*s + 4\/3*s**2 - w*s**4 + 2\/3 - 4\/3*s**h - 2\/3*s**5.\nAnswer: -2*(s - 1)*(s + 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 83.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*m + 15 = -12*m. Let o be ((-20)\/30)\/((-2)\/m). Let l be 2\/13 - o*55\/(-65). Solve 2*c + n = l, n + 2*n = 4*c + 3 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2 - 45*p - 44.\nAnswer: -(p + 1)*(p + 44)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1542*r**2 + 765*r**2 + 768*r**2.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132) + (sqrt(132)*-1 + sqrt(132))*5 + (sqrt(132) - (sqrt(132) + sqrt(132)*3)*-1))\/((2*sqrt(8640))\/((sqrt(100)\/sqrt(2))\/sqrt(10))).\nAnswer: sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vui when three letters picked without replacement from viuivuvimiiuiudi?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/198*(1 + -1 + 2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 36 - 37. Let q be 315\/30 - n\/(-2). Let o(d) = 4*d**2 + 12*d + 1. Is o(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56879080.29 - 1.048?\nAnswer: -56879081.338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(2\/5)\/d))**(-23\/2)\/(d**(-2\/3)\/(d**(-2\/31)\/d)) assuming d is positive.\nAnswer: d**(-8741\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (136*m - 59*m - 3 - 69*m)*(-1 - 1 + 4).\nAnswer: 16*m - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1634163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 500553879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 35\/60 + 4\/(-12)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**2 + 27*c - 22. Let r be 0 - (-612)\/(-22) - (-4)\/(-22). What is the remainder when 303 is divided by i(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 + 5 + 20*r + 92*r**2 - 93*r**2 - r**4 - 2 - 5*r**3 - 1 to x + y*r**4 + d*r**2 + b*r**3 + f*r and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -34*f**3 + 2*f**2 + 2*f + 1. Let p = -139 + 148. What is the remainder when k(-1) is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 20, -2, 3\/8?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3906 + 4074. Does 15 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28835*0.1\nAnswer: 2883.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 636112?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2)*((q - 1 + 1)*(3 + 5 - 6) + 4 - 4 - 3*q)*(-1 + 2 - 20) to i + s*q and give s.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2061?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(((d*(d\/d**(3\/4))\/d*d)\/d)\/d)\/d)**(-6\/5)*(d\/d**(11\/2)*d)\/d**(-1\/14) assuming d is positive.\nAnswer: d**(-177\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 + t - 1. Let p(b) = 32*b**2 - b. Let y(f) = -n(f) - p(f). Let g(c) = 2*c**2. Let v(a) = -a**2. Let x(m) = -2*g(m) - 5*v(m). Give y(x(z)).\nAnswer: -29*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (788\/(-24) - -24) + 9.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*y + 527 - 16*y + 2*y - 553 - 3*y + 3*y**2.\nAnswer: 3*y**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6372 and 104784?\nAnswer: 708","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/15, 1\/4, 0.09 in decreasing order.\nAnswer: 1\/4, 0.09, -2\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 653201 and 372?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3, -b = -6*b + 3*m + 7. Suppose 50*v - 24*v = -53*v - 25*v. What is n in -1\/4*n**b - n + v = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56\/(-49) - (-64)\/56?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-35)\/(-14))\/(3\/(-6))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 - 11*j**2 + 12*j - 4. Let n be h(11). Let u be (3\/(-4))\/((-48)\/n). What is the nearest to u in -5, 2\/11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -101, -153, -205, -257, -309?\nAnswer: -361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11001110110111001 (base 2) to base 9\nAnswer: 171251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**3 - 6*o**2 - 5*o - 1. Let m(n) = n**3 - 2*n**2 + 3*n. Let t be m(3). Let l be (-9)\/t + (-13)\/2. Let i be -2 + (-7)\/(l\/(-3)). Give r(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 445202 divided by 6.\nAnswer: 222601\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 - 9*k**2 - 8*k - 3. Determine d(-3).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -6, a + 4 + 1 = 4*j. Let n(t) be the first derivative of a + t**5 - 5*t**3 - 11 - 3*t**2 - 2*t**2. Factor n(r).\nAnswer: 5*r*(r - 2)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 4*v**2 - 3*v. Give k(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1036 = -18*w + 7750. Is w bigger than 373?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52628715568993 - 7*i**2 - 52628715568993.\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 192 by 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.0477 - -0.2707. Let w = -15.677 - f. Round w to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1 = 5. Let z = -1 - x. Find the second derivative of 2*u**3 + 4*u**2 - 4*u**z - 2*u wrt u.\nAnswer: 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32*h**2 + 2116*h - 6348.\nAnswer: 4*(h + 69)*(8*h - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -4, 350?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 10:41 AM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(2\/15))**(-2\/11))**16 assuming v is positive.\nAnswer: v**(-64\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011010 + -11101000?\nAnswer: -1001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 4*c. Let q(r) = 1. Let p(u) = -6*q(u) - 3*t(u). Let a be p(-2). Let i = -349 + 351. Solve 5*s - a = i for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*p = -6*p - 127, -2*p = -2*x + 254. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 208 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 d when three letters picked without replacement from vvvdwvd.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 + 5*o - 3. Let a be k(-6). Suppose -5*d - 5*z = -4*d + 25, a*d - z - 5 = 0. Round d to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 70?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.1 + -29.9. Let m = 475 - 474.8. Which is the second biggest value? (a) -2\/15 (b) f (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -107\/285202?\nAnswer: -107\/285202","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 44*b + 19*b + 928 = 0 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 - 11*q**2 + 13*q + 13. Suppose 7*s - 23*s = 2288. Let o = -155 - s. Give y(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28203?\nAnswer: 3, 7, 17, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 51149078 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/188997 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*b - 8. Let f = b + 7. Let x(s) = s**3 - 11*s**2 + 4*s - 7. Is x(f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145263667349 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaua when four letters picked without replacement from {a: 4, u: 7}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7925 = 2*k - 3*f, -2*k + 8*f = 2*f - 7940. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -310 (base 5) to base 16.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.3 (b) -16 (c) -10 (d) -20 (e) -1 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-21))\/((16\/14)\/(-2))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -15*b**3 + 13*b**2 - 13*b - 13. Suppose -p - 9 + 3 = 0. Let s(k) = -7*k**3 + 6*k**2 - 6*k - 6. Determine p*m(a) + 13*s(a).\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011411 to 5 decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + 1. Let j be (f\/(-10))\/(12\/(-30)). Which is the closest to -1? (a) -0.4 (b) j (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f + 3. Let p(w) = 1. Let r(k) = -g(k) + 3*p(k). Let o(d) = d. Calculate o(r(t)).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -0*g + 4*r + 16, r = 5*g - 36. Let p(q) = 9*q**3 - 12*q**2 + 5*q + 9. Is p(g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 44\/(-110) - 26\/10. Sort o, -5, 1, -6 in descending order.\nAnswer: 1, o, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 9:18 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1417*b + 656*b + 276*b + 1632*b.\nAnswer: 3981*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 1 = 3. Let h(i) = -2*i. What is the smallest common multiple of h(g) and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1116\/(-144) - (-9 - -2)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k + 11\/2*k**2 + 3. Let a(y) = -2*y. Determine v(a(p)).\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 63975 divided by -1\nAnswer: -63975","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r**(-1\/10))*r*r*r**(-2\/41)*r\/(r**(-8)*r)*r**(-3\/10))**18 assuming r is positive.\nAnswer: r**(35982\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -1 + 9. Let i be a\/(-8)*(10 + -2). Solve 0 = 5*g + i*r + 42 - 5, g + 5*r = -20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a microsecond in nanoseconds?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 9:56 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**6\/((u*u*u**(-2\/5)*u)\/u))\/(u*u\/(u*u*u\/(u\/(u\/(u\/u**2*u)))*u*u*u)*u*u\/(u*(u**(-5)*u*u)\/u)) assuming u is positive.\nAnswer: u**(17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86 or -681\/8?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwwmwmqmqmmh. Give prob of picking 1 m, 1 w, 1 q, and 1 h.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -18342.773 - 6.18249?\nAnswer: -18348.95549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o - 420 = 9*o. What is the units digit of (507\/9)\/(7\/o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -602 + 1723. Calculate the highest common factor of 59 and s.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Suppose -1 = 2*t - l - 2*l, n = -3*l + 9. Let d = 124684 - 124660. Calculate the lowest common multiple of t and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/5 (b) 1226 (c) -2\/71 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 8 = -2. Suppose -g*w = 2*w + 4. What is the smallest common multiple of -2 - w\/(1\/4) and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/9)\/((-2)\/12). Suppose c = g + 3, 0*g = -z*g - 2*c - 10. Let v(o) = -5 + 4*o + 2*o**2 - 8*o + 8*o. What is v(g)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -44*v + v**2 - 2*v**2 + 59990*v**3 - 55204*v**3 - 8 wrt v.\nAnswer: 28716*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 11. Suppose -2*d + m = -19. Let k be (5 - -1)*4\/d. Solve -k = 3*c + 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -844018.9692 + 843840. Let b = -179 - r. What is b rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 40*z**2 + 86*z + 94. Determine s(-42).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26462 equal to 26467?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1c38 (base 14) to base 7\nAnswer: 21001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 243 = -5*r + 1343. Let j(w) = -w**3 + 4 + 6 - 2*w**2 + 2*w - 14. Let u be j(-4). Calculate the highest common factor of r and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 t when three letters picked without replacement from {j: 1, d: 5, w: 1, t: 3, k: 1, b: 6}?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21180536.\nAnswer: 2, 13, 203659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 209 is divided by 73?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 5*q + q + 33 + q**2 - 35. What is g(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -4\/7, 60\/11, 0, -74\/67, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1\/4, 0, -0.2, -0.06, 1 in decreasing order.\nAnswer: 1, 0.1, 0, -0.06, -0.2, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mynqqmqvqayqym. What is prob of picking 1 m, 1 q, 1 v, and 1 y?\nAnswer: 45\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 4:12 PM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-35)\/2*65\/91*(-384)\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 10, 20, 28, 28, 14, -20, -80?\n\"Answer: -q**3 + 5*q**2 + 2*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11 by 298039.\nAnswer: 11\/298039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 5) to base 7.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/((-9)\/1036242*4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10757?\nAnswer: 31, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -87, 0.2, -0.835?\nAnswer: -0.835","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 768 and 3744?\nAnswer: 29952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 1442 - 1512 = 0 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3*d**2 - 13*d + 8. Calculate x(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + o + 9, o = 3*r - o - 12. Let m(b) be the first derivative of 0*b + 0*b**3 + 7\/40*b**5 - 1\/16*b**4 + 0*b**2 - 3 - 5\/48*b**r. Factor m(d).\nAnswer: -d**3*(d - 1)*(5*d - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28759920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35882976?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10540 and 30504?\nAnswer: 2592840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 723841*o. Let q(a) = -6*a - 4. Determine g(q(m)).\nAnswer: -4343046*m - 2895364","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(9 + (-265)\/30 - (-6)\/(-9)). Solve h*t + 166 - 186 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 275*g - 275*g + 564*g**2 - 1.\nAnswer: 564*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1944*t - 490749 = 2777*t + 4447*t + 453555 for t.\nAnswer: -103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -50 - -17. Let c = -64 - -92. Let x = u + c. What is the fourth biggest value in x, -3\/4, -0.1, -1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -7. Suppose f = -p + v, 2*f - f + 3*p + 4 = 0. Let j = 11 - f. Solve -3*l - 15 = 3*s, j*s - 4*l + 15 = l for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 + 21*p**2 + p + 107. Let h be b(11). Let i(v) = -12*v**2 + 3*v + 3. Let n(a) = -13*a**2 + 4*a + 4. What is h*n(q) + 4*i(q)?\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**4\/4 + 15*b**3\/2 + 54*b**2 + b - 37. Determine v, given that i(v) = 0.\nAnswer: -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 47566, 95316, 143066?\n\"Answer: 47750*f - 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 88000 = -z. What is z rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30478579?\nAnswer: 1979, 15401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51842*j**3\/19 - 3864*j**2\/19 - 72*j\/19.\nAnswer: -2*j*(161*j + 6)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 9 = 4*o - 105, -o + 28 = -3*s for o.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1200300010130 - 3?\nAnswer: 1200300010121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfqf when four letters picked without replacement from wqqf.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -44*h + 3. Let l be c(-1). Let i = -65 - -113. Let o(a) = 1 + i*a - 1 - l*a. Calculate o(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1300))\/sqrt(4).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 110010101011000?\nAnswer: 110010101010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((2\/21)\/((-28)\/98))\/(9\/(-12)). Find p such that z*p**2 - 2\/9*p**3 + 0 + 0*p - 2\/9*p**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 637400*g = 637490*g - 900 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 6*z + 135. Calculate the remainder when ((z\/6)\/(-5))\/(2\/16) is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -9. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p**2 + 6*p - 8 = 0. Calculate p.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.05 + -1.95. Sort 2, -3, f, -3\/8 in descending order.\nAnswer: 2, -3\/8, -3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70836505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5*n = -45, 0 = 3*z - 5*n - 29 - 31. Let j be (-9)\/((-27)\/10)*(-15)\/(-10). Suppose j*c + 162 = 11*c. What is the remainder when c is divided by z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -150804743659.\nAnswer: 150804743660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 54167\/42 + -1287. Find the common denominator of a and 101\/54.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52659488.\nAnswer: 2, 7, 19, 12373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14368\/7 - 2052. What is the biggest value in -4, y, 0, 1.5, 0.2?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/10413676 and 49\/4758.\nAnswer: 31241028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -125\/4*q + 325\/4*q**2 - 1\/2*q**5 - 165\/4*q**3 + 31\/4*q**4 + 0.\nAnswer: -q*(q - 5)**3*(2*q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3 - 7683686*i**2 - 15367378*i - 7683690.\nAnswer: 2*(i - 3841845)*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-9 - -5)*206\/8. Let c = -405 - -300. Which is smaller: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*v + 2060 - 586 + 1282 = 0. Solve 0 = -4*i - 5*c + v - 63, i - 4 = c for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2. Let c be t(-2). Let a = 11 + c. Suppose 2*r - 21 = -5*x, -3*r - 4 = -r. Solve 8 = -b - 2*j, -4*j + x*j = a*b + 3 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qbhbx. What is prob of picking 1 q and 1 h?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 6075?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 426*m + 19708. Calculate k(68).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -504\/5 + 231\/5*j**2 + 3\/5*j**4 + 48\/5*j**3 + 222\/5*j = 0.\nAnswer: -7, -6, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -295*f**2 + 3*f*t*x - 3*f*t - 32766*t - 2*x wrt f?\nAnswer: -590*f + 3*t*x - 3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3206 divide 307235091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -406*z - 3*z**3 + 406*z + 8*z**3 + 15*z**3.\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1559\/57682 - 5\/302. Let z = y - 583\/955. Suppose 2*t + 2*p + 6 = 0, -t + p = 4*t - 3. What is the smallest value in z, t, 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*2\/(-4)*((-191620)\/195)\/(-67).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.0862478 times -1.6?\nAnswer: 3.33799648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p**2 - 30*p - 58. What is the remainder when 48 is divided by z(-11)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(171))*-3 + ((1 + sqrt(171))**2*1 - sqrt(171)) + (-1*sqrt(19)*5 + -3*sqrt(19) + 0)**2*-4.\nAnswer: -4698 - 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t = 0. Let j(z) = -351564*z**3 - 7 + 7*z**2 + t + 7 - 4*z. Let h be j(4). Round h to the nearest one million.\nAnswer: -23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*j + 83. Suppose 3*k = j + 1. What is the derivative of k - 4*n**3 + 2*n**3 - 6*n**3 + 4*n**3 wrt n?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 339717?\nAnswer: -339713","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-3))\/((-5)\/(-60))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -45963.99809 rounded to the nearest integer?\nAnswer: -45964","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-2 - 0)*1. Suppose 4*c - 65 = 4*j - 53, -3*c = -j - 13. Let a(w) = -w + 1. Let v be a(1). Sort c, v, z, 2 in descending order.\nAnswer: c, 2, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k. Let o be h(-2). Let d be (o - 1)\/(8\/8). Calculate the greatest common factor of d and 63.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2*(-9045)\/(-48) - 2\/(-16).\nAnswer: 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -1936*u - 1815. Let j be h(-1). Solve j*l - 99*l - 132 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1650\/(-27))\/55*-1?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 129, 121, 111, 99, 85, 69?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.5 (b) -3 (c) 2 (d) -5.6 (e) -153\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/12*-2*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -14*q + 192 - 35. Calculate the remainder when 783 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -32441 - 130?\nAnswer: -33121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2638926955?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(1\/14*(-19)\/((-342)\/189)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10120 and 8039328?\nAnswer: 40196640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 12*f**2 + 12*f - 11. Let h be t(-11). Let p = h - -24. Solve n = 5*k + 22, 4*n - 3 = -p*k + 5*k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -0*x. Suppose x = 2*t, 0*r = 2*r - 4*t - 40. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 832518, 1665035, 2497554, 3330075, 4162598?\n\"Answer: d**2 + 832514*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13496474?\nAnswer: 2, 1303, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-15))\/(216\/240)*(-171)\/6.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 10 + 34. Is v a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42966.\nAnswer: 2, 3, 7, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 12 = -8. Solve 2*s - 6*s = w for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*o - 43*o + 2 = -x, 0 = 2*o + x - 8. Which is the third biggest value? (a) -2 (b) -44 (c) o (d) -3 (e) 0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -1. Let t(y) = -y**3 - 9*y**2 - 9*y - 12. Let s be t(f). What is the units digit of (70\/s)\/((-2)\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - k**4 + 0 + ((-2*k**2 + 0*k + 0*k)*(3*k - 5*k + k) - k + k + 2*k**3)*(23*k + 577 - 577).\nAnswer: 91*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4fe - 0?\nAnswer: 4fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7*p + 206 = -2*a, -5*a = -p + 86. Let g = 46 - 110. Let i = p + g. Solve -w - i = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 4*o + 2*o)*(0*o**3 + 0*o**3 + o**3) + (-3*o**2 - 15*o**2 - 8*o**2)*(o + 2*o**2 - o) + 0*o**4 - 2*o**4 + o**4.\nAnswer: -55*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/40? (a) 4 (b) -2 (c) 0.4 (d) -20 (e) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + 4 + -6 - (-22 - (-3 + -12))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes after 2:44 PM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r\/(r**(-8)*r)*r*r*r*r\/r**8*r*r**(5\/3)\/(r\/(r\/((r**(-7)*r)\/r))*r) assuming r is positive.\nAnswer: r**(41\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184 = -5*g - 2*t, 723*t - 725*t - 1796 = -50*g for g.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 + 14*m - 71. What is h(-12)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*n**2\/7 - 86*n\/7 - 1422\/7 = 0. Calculate n.\nAnswer: -9, 79\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 901*k**3 + 914*k**3 + 909*k**3 - 2720*k**3 + 3*k**2 - 2. Let n(p) = -p + 2. Let j be n(5). Let s(v) = 11*v**3 + 8*v**2 - 5. Give j*s(b) + 8*t(b).\nAnswer: -b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 75*s**2 + 18*s**4 - 75*s**2 + (3097*s - 3091*s + 26*s**3 - 5*s**3)*(-s + s - s) in the form t*s**4 + d*s**2 + m*s + u*s**3 + h and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*-5*(sqrt(95) - 2*sqrt(95)))\/(sqrt(180)*1 + sqrt(25)\/sqrt(5)*-5).\nAnswer: -120*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010541103661 to five dps.\nAnswer: -0.01054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 13*h - 14*h - 8, 23 = -4*l - h for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1489 and 0.4?\nAnswer: 1488.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14, 2, 18?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/28 and 117\/196.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -25\/53?\nAnswer: -25\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1002749267+3\nAnswer: 1002749270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.04257 greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 196?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/13 or 4\/9?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 875 is divided by 315.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5992248 + -2478362. Let d = k - 3513857.99977. Let t = d + -28. Round t to four dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-8)\/(-12) + (-354)\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 414*i = 415*i + 10 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5958610.\nAnswer: 2, 5, 7, 23, 3701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -101a (base 12) to base 3\nAnswer: -2101211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 13*l**2 - 29*l + 14. Let p be w(-10). Solve 4*u - 21 = 7*u - 4*v, 0 = -p*v + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 656643 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vjey when four letters picked without replacement from {w: 1, e: 1, j: 1, v: 4, y: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**5\/60 + 4*m**2. Let h(t) = -2*t**2. Determine a(h(x)).\nAnswer: 4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, y: 4, b: 2, w: 6, x: 2, c: 2}. What is prob of picking 1 b and 1 c?\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -235, -777, -1627, -2779, -4227, -5965?\n\"Answer: j**3 - 160*j**2 - 69*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 1:56 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -8 (b) -0.2 (c) -16 (d) -114 (e) 11\/8 (f) -1\/3 (g) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -5*l**3 + 3*l**2 - 3. Let v(a) = 11*a**3 - 7*a**2 + 7. Suppose 5*i = 7*i + 14. Determine i*j(o) - 3*v(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.1, -0.3, -1\/15?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2118270 to the power of 1\/3, to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/k**(6\/7))\/(k\/k**(-7)*k)*k**(-6)\/k**(1\/11)*k\/(k\/k**(1\/5)*k)*k**(-2)*k*(k**(-2\/7))**(-1) assuming k is positive.\nAnswer: k**(-5568\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 + 7*z**2 - 4*z - 7. Let h be m(-6). Let a = 85 - h. Suppose x = -x + a. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0156 greater than 3.96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4736 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 3, m: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i - 3*i - 14. Let h be (0 + 0 - 1)*1. Let p be h\/(-2) + 7\/i. Solve b = -p*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 3*c**2 - 12*c - 6. Let f(s) = -3*s**2 + 4*s + 1. Let q(m) = -3*f(m) - t(m). Let n(l) be the second derivative of -l**4\/6 + 3*l. What is q(n(y))?\nAnswer: 24*y**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i - i**4 + 3*i + (3*i**2 - 2*i**2 - 4*i**2)*(2*i**2 - 3*i**2 + 0*i**2).\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 361*k + 2. Let w(r) = -728*r - 5. What is -7*q(m) - 3*w(m)?\nAnswer: -343*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from {k: 2, d: 1, o: 4, r: 4}.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 73118784737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*2\/(-4)*-1. Let t = 11.1 + -14.1. What is the closest to 0.1 in b, -2, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, 211, 5 in descending order.\nAnswer: 211, 5, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*o**2 + 3571*o - 1771*o - 1797*o + 0*o**2.\nAnswer: -3*o**2 + 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**3 - 1 + 9*b**3 - 4*b**3 + 3*b**2 to j*b + s + c*b**3 + k*b**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 101*b**2 + 3*b + 3. Suppose -3*m - 3*m - 6 = 0. Is t(m) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1683034 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*k**2*r*u - 570798*k**2*r - 33*k*r*u + 6*k*r - 18*k + 5*r*u - 2*r - 2*u + 4 wrt k?\nAnswer: 34*r*u - 1141596*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 6:37 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 489205.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*(-2)\/(-13) + 4770\/4134.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**2 - 65*m + 361. What is a(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 75*i - 10*i - 130 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5000617371 - 0.04?\nAnswer: 5000617370.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 163650?\nAnswer: 163652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*c**2 - 10*c**2 + 2*c**2.\nAnswer: 31*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1774)\/(-24) + 22\/(-33). Let k = j - 73. Which is the nearest to -2\/5? (a) 0.7 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/31)\/(1*(7 - 8)).\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-99*o - 126*o + 157*o)*(92*o**2 - 101*o**2 + 62*o**2) as j + i*o**2 + p*o**3 + k*o and give p.\nAnswer: -3604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*z - 267*z - 18 = -3*m, -2*m - 5*z = -24 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zwwowvziw. Give prob of picking 1 z and 3 i.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 22d (base 14) to base 15\nAnswer: 1dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 - -1. Let c = s + -13.2. Suppose -5*w - 1 = 2*b - 16, 2*b + 2*w = 6. Are c and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -86*b*j**2 + 2*b*j - b + 22*j**2 + 6686 wrt j?\nAnswer: -172*b*j + 2*b + 44*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 119027 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*i**3*p**2 + 121563*i**3 - 24552*i**2*p**2 + 6*i*p**2 - 4*p**2 wrt i.\nAnswer: 126*p**2 + 729378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 - 2*c - 1. Let o = 6 - 3. Let z(h) = -3*h + 252 + 252 + 252 + 257 - 1015. Give o*q(v) - 2*z(v).\nAnswer: 3*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3635.77 to the nearest 100.\nAnswer: -3600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4 - 1132*w**3 - 70170*w**2 - 1220472*w - 2169288 = 0. Calculate w.\nAnswer: -498, -33, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 89 - 88.9914. Let l = i - -223.9914. Let m = -224.0000107 + l. What is m rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12535450*b**3*g**3 - 13865*b**3*g**2 + 13390*b*g**2 - 6*g**3 wrt g?\nAnswer: 75212700*b**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2038.\nAnswer: 2, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -8.49, -1.5, 0.004, 0.04?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 11*l = 0. Suppose -v + l = -3. Solve m - h + v = 3*m, 2*h = 10 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, o: 2, q: 1, e: 1, a: 1, y: 1}. What is prob of sequence oeo?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 13526968?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*m - 1 = -25 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10622?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of ((-124 + -6)\/(-5))\/(((-20)\/(-17875))\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a millennium in years?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -1 + 1 + 586*f**3 + f - 3*f + f**2 + 2. Let q be j(1). Suppose 12*n - q = 11*n. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the third derivative of -f**5\/360 + 257*f**4\/72 - 66049*f**3\/36 - 158*f**2 - 3*f. Factor c(k).\nAnswer: -(k - 257)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2938*i**3 + 3*i**2 + 11*i + 8. What is the units digit of l(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*h + 8. Let z = -6 - h. Let s(k) = -2*k**3 + 3*k**2 - 3*k - 3. Let g(o) = 5*o**3 - 8*o**2 + 8*o + 8. Calculate z*s(l) - 3*g(l).\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 58.59814 weeks?\nAnswer: 410.18698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 130 + -126. Let i = -16 + 18. Suppose i*c = -c. Solve r = q - c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757 (base 15) to base 2.\nAnswer: 11001111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 0)\/(3420\/72 - 40)*(-87)\/(-4814)?\nAnswer: 1\/83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.24 + 10. Let k = 0.04 + n. Let r = 64 - 255\/4. Which is the third smallest value? (a) r (b) k (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8522?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140 a factor of 1555696981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c**1*c)\/c))**(-33)\/((c**(-2\/9)\/c)\/((c\/(c*c**(-2\/3)*c))\/c*c)))\/((c**(-1\/3)\/c)\/c**(2\/9)*(c**1\/c)**3) assuming c is positive.\nAnswer: c**(22\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -181 - -191. Differentiate -y*o + 6*o + 26*o + 58 + 7*o wrt o.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*k - 4*x = -x - 171, 33*k - 29*k - 71 = x - 4*x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 3*f + 5 = -7, -2*f = z - 6. Suppose -4 = -4*g, 5*g = -3*p + g + 43. Sort z, p, 4 in decreasing order.\nAnswer: p, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2780*p = -36*x - 2775*p - 224, 0 = -6*p + 312 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/(-2)*(3 - 5). Let m = -4 + 4. Suppose 4*a - 2*a + 10 = m, -3*g = y*a + 16. Solve 0 = -r - 2 + g for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes after 4:55 PM?\nAnswer: 7:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(640) + sqrt(640))\/(sqrt(24)\/sqrt(300)) + -1 + 5*3*sqrt(180).\nAnswer: -1 + 210*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 8 - (1 + 1 - 10).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -280887\/80 + 3511. What is the common denominator of b and -2\/7?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 - 2*l**2 - 3*l + 2*l**2 + 3*l + 0 + 2*l**2 + 0 + (2*l + 3*l - 4*l)*(0 + 0 + l) + l**2 + 3*l**2 - 3*l**2 + l - 17*l**2 + l + 15*l**2.\nAnswer: 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -10*m**2. Let r(w) = 6*w + 4*w - 17*w + 5*w. Calculate r(i(s)).\nAnswer: 20*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 47481 divided by -357\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/28 and -7\/243?\nAnswer: 6804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3864 and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 1284.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 950*i - 168*i - 15640 = 0 for i.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - 18\/1 - -2. Find the common denominator of (3\/s)\/((-2)\/(-316)) and 36\/11.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 m, and 2 c when four letters picked without replacement from cxrqmqcr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -2. Suppose -82*q - 154 + 134 = -348. Solve -z*r - q = 2*x + 2*x, x + 14 = -4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.19, 40, 3, -5, -2, -12\/13?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 58768 and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 + 37*o + 476. Let m be c(47). Solve 14*i + 32 = m*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -40*s**2. Let p(v) = -6*v**2 - 4*v. Give p(k(f)).\nAnswer: -9600*f**4 + 160*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82\/7 + -9\/56. What is the common denominator of s and 3 - 2 - 79\/(-12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 7*q + 110880000 = 0. Round q to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2*u**2 - 28*u**2 - 2 + 6*u**2.\nAnswer: -20*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/((u**18\/u)\/u))*u*u**(1\/6)*u)**50 assuming u is positive.\nAnswer: u**(2725\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gc when two letters picked without replacement from ggcccc.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 492105 and 1857.\nAnswer: 492105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a*b**2*l**3 + 2*a*b**2*l - 2*a*b - a*l + 28*b**2*l**3 - 86*b*l**3 wrt b.\nAnswer: -6*a*l**3 + 4*a*l + 56*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 29. Suppose -5*f = -f + 5*k - 43, -3*f = s*k - 33. Suppose f*x - 30 = 7*x. What is the smallest common multiple of 20 and x?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9983, -5, 1, 8, 5 in ascending order.\nAnswer: -5, 1, 3, 5, 8, 9983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 367231 is divided by 501.\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (140\/(-315))\/(8\/(-3)). Put -3\/4, c, 4, -73\/5 in descending order.\nAnswer: 4, c, -3\/4, -73\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2141790\/1795024 - 150\/16?\nAnswer: -90\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*p**2*v**4 - 334*p**2 - 35015*p*v**6 + 52704*p*v**2 wrt v?\nAnswer: 120*p**2*v - 4201800*p*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 12:24 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 38\/4 + 3\/6. Suppose r*u - 15*u = -4*g - 16, 0 = -2*g + 2. Suppose -120 = -u*b + 204. List the prime factors of b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**2\/2 + 9*r + 7. Let g be w(-5). Let v(q) = -q**2 + 6*q - 5. Let s be v(g). Which is smaller: s or 4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h + 10. Suppose -3*n - d = -32, -4*n - d + 29 + 14 = 0. Suppose 3*t - n*t - 48 = 0. List the prime factors of u(t).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 + 292208708*j\/7 - 292208706\/7.\nAnswer: -2*(j - 146104353)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 36, 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 415546 by 9.\nAnswer: 415546\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 3*f**5\/4 + 51*f**4\/4 - 111*f**3\/4 + 57*f**2\/4 = 0.\nAnswer: -19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 33968*d**3 - d**2*n**3 + d*n**3 - 1410*d*n**2 - n**2 wrt d?\nAnswer: 203808*d - 2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*l + 0*l + 0*l)*(-1 - 1 + 1 + (7 + 7 + 0)*(-4 - 4 + 6)) to the form d + n*l and give n.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1208 and 24427421?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42421 + 1?\nAnswer: -42420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 41610377 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 6389, 51133, 172759, 409709, 800425?\n\"Answer: 6407*u**3 - u**2 - 102*u + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 669 = 3*y, -5*h - 2*y = 1229 + 2048. Does h = -656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - (-5 + -3)) + -6 + 6 + (-5 - -6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14\/(-6) - (-2)\/3. Let y be ((-2)\/6)\/(-7 - -6). Sort k, y, -5 in increasing order.\nAnswer: -5, k, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -34*p**3 - p**2 - 2*p - 1. Let v be k(-1). Let z = v - 12. Calculate the smallest common multiple of z and 16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w, 9*g - 12*g - 2*w + 12 = 0. Solve 0 = g*m - y - 13, 2*m - 6 - 1 = y for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 + 1)*(-3*f - 1 + 1) as v*f + h and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55 + 10 = 13*n + 5*f, 4*n - 39 - 26 + 20 = 5*f for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 23 = 12. Suppose b = 5*t - 3. Suppose 10 + t = x. Solve -3*s - 2*y + 7 = -y, x = 3*y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*a - 34*a + 458 + 37 = 0. Solve -5*b - 2*o + a*o + 43 = 0, -2*b - 2*o - 2 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 + 1) - (19 + -23)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**5 + 0*h**5 - 3*h**5)*(-3 + 1 - 11) - h**3 + h**3 - 2*h**5.\nAnswer: 63*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**4 + 8*u**3\/3 + 2*u**2 + 37. Solve k(m) = 0 for m.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 - 2*s**3 + 0*s**2)*(s - 3*s + 2 + 3*s)*(-2*s + 2*s - 4*s).\nAnswer: 8*s**5 + 16*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0*f**3 + 8*f**2 + 0*f**4 + 0*f**7 + 0*f + 7\/60*f**5 - 25\/336*f**8 + 0 + 0*f**6. What is the third derivative of h(a) wrt a?\nAnswer: -1500*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/(-6)*(1 - -2). Let k be (-5)\/(7\/(-14)*x\/(-2)). Suppose k*d + d = 30. Let h(c) = c**3 - 4*c**2 - 3*c - 1. Give h(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2835636109 to the power of 1\/5, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h + 6 = -0. Let y be 4\/4 + -1 + h\/4. What is the third smallest value in -4, -0.4, 0, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -372 + 291*q**4 + 302*q**4 - 47164*q**3 + 47164*q**3 wrt q?\nAnswer: 2372*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19470\/1062*((-72)\/(-20))\/2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 666 divide 70596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-20)\/90 + 58\/18. Let b(v) = 274*v**2 + 3*v - i*v - 286*v**2. Let r(f) = f. Determine b(r(j)).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9932 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10 + (-182133)\/354*((-2)\/(-15) - 0)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(450) - sqrt(50))*3 + sqrt(50))\/((sqrt(80) - (sqrt(80) - ((-2*sqrt(80) + sqrt(80) - sqrt(80)) + sqrt(80))))\/sqrt(8)).\nAnswer: -7*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2\/(-1) + 2)\/(6 - 7). Calculate the remainder when (-2*(s - 19) + -3)*3 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4944788.\nAnswer: 2, 19, 65063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 53*v - 53. Let k be d(1). Let t(l) be the second derivative of 1\/48*l**4 - 3\/8*l**2 + k + 6*l + 1\/12*l**3. Suppose t(g) = 0. Calculate g.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-10)*(-13 + 8). Suppose -2*c + i = -4. Suppose -5*z - 25 = -5*m - z, c*m = -5*z + 20. Solve 0*p = m*p - 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7506.\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 18 = -15*j + 10*j, -j + 5*f + 14 = 0. Solve -3*s - 3*p - 12 - 18 = 0, 3*s = j*p + 5 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 2*f + 16, 5*p - 7 = 3*p - f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16469, -32901, -49261, -65513, -81621, -97549?\n\"Answer: 6*m**3 - 16474*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, 3, 113627 in ascending order.\nAnswer: -1, 3, 5, 113627","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 + -5588?\nAnswer: -5566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28876, 28875, 28874, 28873?\nAnswer: 28872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3 = u, 0 = -3*u - r + 6. Let g be (50\/(-15) + u)*-3. Does g = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25592 (base 16) to base 8\nAnswer: 452622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -7\/3 (b) -0.1 (c) -17 (d) -0.12 (e) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/129))**(-2\/9))**16 assuming q is positive.\nAnswer: q**(-64\/1161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + 4. Let z = c - 12. Let f = -0.2 + 0.1. Sort 3\/4, f, z in descending order.\nAnswer: z, 3\/4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(96) - (sqrt(96) - sqrt(96)*-1)))\/(-3*sqrt(9)\/sqrt(3)*-4))**2 + 3.\nAnswer: 29\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2550420441?\nAnswer: 3, 1433, 197753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6 times -101?\nAnswer: -262.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3*(-2 - 14\/(-9)). Let r = -49.7 - -49.4. What is the closest to r in 1, p, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*w**4 - 8276878*w**3 + w**2 + 3260*w - 843?\nAnswer: -24*w**2 - 49661268*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3 = -3. Suppose 5*y = -15, 3*k - 2*y = 7 + 191. Suppose -n*h + 2*h = -k. Calculate the highest common factor of 40 and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 1\/36, 2\/21, 3.1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 10115208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.75 - 4.2. Let o = x + 6. Let t = -2.95 - o. Which is the third biggest value? (a) 4 (b) 0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 + 1424322433?\nAnswer: 1424322403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine quarters of a litre?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 719138 - -0.1308.\nAnswer: 719138.1308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/140 and (-2)\/(16\/3) + 6226\/(-1936).\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 677515 = 10*q - 45*q - 190660. Round q to the nearest 100.\nAnswer: -24800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 10101000100?\nAnswer: 10101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*w**2 + 1702*w - 43*w**2 - 59*w**2.\nAnswer: -172*w**2 + 1702*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 8*l - 8*l - 7*l + 18 - 13*l. Let o be q(-5). Suppose -s = -z + 16 + o, -4 = -2*s. What are the prime factors of z?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - j + 134 = 0, -3*a + 3*j - j = -146. Let q = 20 - 50. Let b = q + a. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15065\/4 + 3791. Calculate the common denominator of (-649)\/42 + ((-4)\/(-112))\/(4\/32) and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-9\/7)*s**(-2\/17))**(-2\/65))**(-45) assuming s is positive.\nAnswer: s**(-3006\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 28*g + 4. Let o be y(5). Calculate the highest common divisor of o and 3096.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/7)*v)\/(v\/(v\/(v\/v**(2\/31))))*(v*v**5\/v*v)\/(v*v**(-2\/23)) assuming v is positive.\nAnswer: v**(22146\/4991)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7 + 4 + 555 + 7?\nAnswer: 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 4*o + 20. Let f be -14*(-3 - (-10)\/o). What is the greatest common divisor of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c (base 15) to base 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(891) - ((sqrt(891) - (sqrt(891) + -1 + 4 - sqrt(891))) + sqrt(891))) + -1)**2 + -4.\nAnswer: -36*sqrt(11) + 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -680, -3, 2, 7 in decreasing order.\nAnswer: 7, 3, 2, -3, -680","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 20\/(-12)*(7\/(-14) - -1). What is the closest to o in -7, -4, -1, 3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18 - 12) + (-4 - 0) + -5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2\/9 - 921020*d\/9 - 1228016\/3 = 0.\nAnswer: -460506, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90675.76l to millilitres.\nAnswer: 90675760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111111011100 (base 2) to base 9.\nAnswer: -17723","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, d: 5, w: 1, o: 3}. Give prob of picking 1 d and 1 w.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 72842 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gqgmqqpmmtmmqpm. Give prob of picking 3 q.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6\/7, -1, -0.4, -0.5 in decreasing order.\nAnswer: 6\/7, -0.4, -0.5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3223511 (base 6) to base 2\nAnswer: 100110110011100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jrjj when four letters picked without replacement from jjrjjjjjjrrjrjjrjj.\nAnswer: 143\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -2843, 0.9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 233, 242, 263, 302, 365, 458, 587, 758?\n\"Answer: d**3 + 2*d + 230","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*j**4 - 7*j**3 + 81900*j**2 - 11336285*j wrt j.\nAnswer: -36*j**2 - 42*j + 163800","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 294852 to the power of 1\/3, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-12))\/((-16)\/((-576)\/6))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**3 + 16*j**2 + 7*j + 30. Let a be q(-4). Let l(i) = -25*i**3 + i**2 + 2*i. Let k(u) = u**3 - u**2 - u. Determine a*k(v) + l(v).\nAnswer: -23*v**3 - v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -845044 divided by -44476?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 47*f**2. Let t(h) = 5*h. Determine o(t(d)).\nAnswer: 1175*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.35 - -18.65. Let w = v + -17. Which is smaller: w or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 - u. Let t(n) = n**3 + 9*n**2 + 6*n + 1. Let w(p) = -2*g(p) - t(p). Let k be (1\/2)\/((82\/24)\/(-41)). Give w(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - 2 - 8*p**2 + 7*p**2 + 1 to the form j*p**2 + v*p + z and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*p - 42*p - 36*p - 43*p.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10762228, 10762227, 10762226?\n\"Answer: -t + 10762229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 4*c**5 - 164*c**4 + 1840*c**3 - 6000*c**2 = 0.\nAnswer: 0, 6, 10, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 241 is divided by (-2)\/((-4)\/(-6)) + -5 + 30.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6777095 litres in millilitres?\nAnswer: 677.7095","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 = -2. Let q(h) = 2*h**2 + 5*h - 1. Let a(u) = 5*u**2 + 15*u - 3. Let y(k) = -3*a(k) + 8*q(k). What is y(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6758*o = -7698*o + 16920 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**3 - 403*t**2 - 10*t**3 + 365*t**2)*(-148*t + 11*t**2 + 148*t).\nAnswer: -66*t**5 - 418*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -78.16 rounded to the nearest integer?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of -u**5\/3 + u**4\/24 + u**3\/6 + 13*u**2 - 2. Give k(1).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o + 1045073609 - 1045073609 - 159*o**2 - o - 3*o.\nAnswer: -159*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a - 22 = -4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*a = 156, 5*c = -0*c - 4*a + 191. Let u = c + -21. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/12*(-15)\/((-4950)\/(-132)).\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 90 = -4*r. Let z be r\/42 + 62\/(-14). Let m be (264\/(-60) - (-2)\/5) + -1. Sort z, m, 5 in descending order.\nAnswer: 5, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1758, 1759, 1760, 1761, 1762?\nAnswer: 1763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14246071*l**2 + 9744*l - 60?\nAnswer: 28492142","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-375)\/390)\/(-25))\/((-1)\/(-2)).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/4))**(5\/8)\/(h*h**2)**6)\/(((h**(-4\/7)*h)\/h*h)\/h*h**(-2))**(-46) assuming h is positive.\nAnswer: h**(-30493\/224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - x + 120. Let h = -25 + x. Let l(f) = 2*f**2 - 8*f + 6. Let q(o) = -o**2 + 5*o - 4. What is h*l(a) + 8*q(a)?\nAnswer: 2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence duy when three letters picked without replacement from duyyudyyydddudy?\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2799.\nAnswer: 3, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 482221 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (132\/(-5))\/(3\/(-10)). Suppose s = 3*a - a. Suppose -6*x + x + a = t, 3 = -3*t. Solve 0*q - 3*q = -x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + -6)\/(102\/(-34) - 57\/(-21))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -46*k - 1733. Let t be v(-26). Sort -3, -7, t.\nAnswer: t, -7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1367736 divided by 5?\nAnswer: -1367736\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v**3 + v**2 - v - 2. Let m be k(-1). What is the nearest to 1 in 0.5, m, -1\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 387756939 + -387756928.30000047. Let n = 0.243 + 10.457. Let v = p - n. What is v rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 10*x - 380. Let c be b(40). Solve -c*g = -11*g - 45 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0, 4 in descending order.\nAnswer: 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (6\/(-3) + -2). What is the second derivative of 0*x**3 - x**3 + 0*x + 2*x - s*x**3 wrt x?\nAnswer: -18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 5*u - 12, 0 = -5*j + u + 2. Let n(f) = -f**2. Let g(t) = t**3 - 5*t**2. Give j*g(k) - 5*n(k).\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 7:27 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 3:52 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -11. What are the prime factors of c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91) - (sqrt(91) - (sqrt(91)*-2 + sqrt(91))*6))\/(sqrt(7) + 1*sqrt(7)*5) - (-4 + (0 + sqrt(1573) + sqrt(26)\/sqrt(2) + 1)**2)) + 4.\nAnswer: -1865 - 25*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 less than -55?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 + -4. Let c = 9436 + -9327. Calculate the remainder when c is divided by i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (44*-1 - 4) + (1 - -3). Let y be (-322)\/(-77) - (24\/l)\/(-3). Solve u - y = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10.926 - 0.074. Which is the nearest to 2\/7? (a) k (b) -2\/7 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*j + 764 = -696 + 356 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*c - 36 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 80286*c**2 + 14*c - 120. Let r be g(-29). Round r to the nearest one million.\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 - o**2 - 27*o + 47. Give f(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -i - 917*m + 921*m, 3*i - 2*m = 55. Let v(b) = 2*b**3 - b**2 - b - 2. What is the remainder when i is divided by v(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 3. Suppose 0*n - 5*n = 2*w - 19, -5*w = -4*n - 64. Suppose g*j - w = -j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4000 divided by 4?\nAnswer: 1000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 11:21 PM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c**3 + 8*c**2 + 8*c + 587. Let g(i) = -2*i**3 + 3*i**2 + 3*i + 196. Give 8*g(r) - 3*p(r).\nAnswer: 2*r**3 - 193","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101201120101101002 + 2?\nAnswer: -101201120101101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -25 - (3 - 17) - (-2 - 13 - -4)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 247784\/(-11203) + (2 - (-32)\/(-17))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.077 * 1215.071\nAnswer: 93.560467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 60912 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9114953.\nAnswer: 9114953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2 - 264458190*h - 5828177854839675.\nAnswer: -3*(h + 44076365)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of -7*p**4\/24 - p**3\/3 + p**2. Let o be k(2). What is the remainder when 58 is divided by 9*(-1 + o\/(-6))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 AM and 6:49 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of -11*u**2 + 0*u + 0*u**5 + 1\/42*u**3 - 1\/420*u**6 + 0 - 1\/1470*u**7 + 1\/84*u**4. Factor i(c).\nAnswer: -(c - 1)*(c + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*r + 2*r + 18, 0 = 2*r + 4*l. Suppose -r = 4*h - 6*h. Let w = 60 - h. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 10:10 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -29504 divided by -1?\nAnswer: 29504","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*y - 22 + 47. Put -18, 15, y in descending order.\nAnswer: 15, y, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*j**5 - 21895877*j**4 + 18884148*j**2 + 4?\nAnswer: 120*j**2 - 525501048*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.04 - -3.04. Let d = 143 + -141.37. Let s = d - 2.03. Put -3, b, s in increasing order.\nAnswer: -3, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4.8 and -209.7.\nAnswer: -204.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4061511194?\nAnswer: 2, 13, 337, 463537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/150 and -111\/50?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 0.166, -2, -182\/9 in descending order.\nAnswer: 2\/5, 0.166, -2, -182\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 58*t + 9927. Give c(-171).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**3 + 183*l**2 + 121*l + 19923. What is i(-183)?\nAnswer: -2220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 37*n - 33*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8664 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((30\/(-33))\/((-5)\/(-105)) - -21)*11?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 2*p**2 + 4*p - 3. Let y be l(3). Let b = y - -40. Suppose -b*d = -2*d - 130. List the prime factors of d.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 267.4 + 16.6. Let m = 400.8 - q. Let y = m - 117. What is the third smallest value in -0.31, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 2a8?\nAnswer: 2a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(38)\/sqrt(2) - (-2 + sqrt(475)).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*s + 4*u + 98, -2*u = 2*s - 179117 + 179167 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5769\/(-2)*(-286)\/429.\nAnswer: 3, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 take away 49163210616?\nAnswer: -49163210655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1479*i**5 - 8*i**2 + 29.\nAnswer: 88740*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -707, -1702, -3333, -5594, -8479, -11982, -16097, -20818?\nAnswer: -26139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2310 (base 5) in base 15?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-235)\/(-141))\/((-5)\/(-3)). Let w be -1*40\/(-4)*n. Solve w*u - 6*u = -8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-900*o**3 - 9621*o**3 + 4890*o**3)*(-2*o**2 + 3*o**2 + 0*o**2).\nAnswer: -5631*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the third derivative of t**4\/12 - 4*t**3\/3 - 3*t**2. Let g be p(5). Solve g*i + 7 = -3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15 + -22. Let o be (-3)\/2*14\/j. What is the derivative of -1 - 5*s + 13*s + o*s wrt s?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -2*s - 4. Let z be (3 - (-4 - -8))*2. Let b be ((-33)\/6 - -5)\/(z\/(-16)). Give l(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 37*f + 39*f = 16, -3*o - 5*f = -19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-6)\/4*(-25)\/(1425\/(-532))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/((u**(1\/16)\/u)\/u)))\/(u\/u**(-3)))**(1\/30))**(-49) assuming u is positive.\nAnswer: u**(931\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/4622 + 168707\/18488. What is the common denominator of m and 7\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 146, 292, 438?\n\"Answer: 146*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 6*t**2 + 13348599*t\/5 + 30701619\/5 = 0.\nAnswer: -444951, -23\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*g**2*y**3 + 18*g**2*y**2 + 137*g**2 - 5*g*y**3 - 1225*y**3 wrt y?\nAnswer: 24*g**2 - 30*g - 7350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 0*j + 0*j)*(-2 + 1 - 2) - 3*j - 2*j + 4*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 19. What is the remainder when 92 is divided by t(0)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.09 + -13.91. Let o = 12.293559557 + 1.706440223. Let m = n + o. Round m to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of h**6\/40 - 3*h**5\/40 - h**4\/8 - 57*h**2 - 188. Let a(j) be the second derivative of v(j). Let a(z) = 0. What is z?\nAnswer: -1\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 89 - 29. Suppose 2*a - a = b. What is the highest common divisor of a and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -453 - 8111431?\nAnswer: -8111884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 4 - 4)*(-206*b - 1 + 131*b + 165*b) - 25 + 41 - 4*b - 18 + 2*b**2.\nAnswer: -178*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000901 rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*2.53.\nAnswer: 0.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12150 + 333\/8*z**2 - 3\/8*z**3 - 945*z.\nAnswer: -3*(z - 60)**2*(z + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/3, 1\/6, -0.542, -2\/17 in decreasing order.\nAnswer: 1\/6, -2\/17, -0.542, -13\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of r**3\/6 - 11*r**2\/2 - 126*r + 1. Give f(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27050 - 27049.93. What is the closest to -1 in 0, 2\/3, f, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 2:30 AM?\nAnswer: 4:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {x: 14, z: 5}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h = -347 + 269. Let t(b) = 7*b + 37. Determine t(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97468423 a multiple of 5140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 divided by -8?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - 55*k - 714. What is f(66)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 583408?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 2:48 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m + 3. Let a be w(3). Let s be (-163)\/(-11) - a\/(-33). Suppose 4*d - s - 9 = 0. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 2. Let k be j(4). Suppose 0*o + 12 = k*o. Suppose 4*h + o = 34. What is the smallest common multiple of 8 and h?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3202059?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1*sqrt(252) - (sqrt(7) + sqrt(7) + 0 + sqrt(7) + sqrt(252))).\nAnswer: 90*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2394*a**5 - 3*a**4 - 21347*a wrt a.\nAnswer: -47880*a**3 - 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -31 - -38. Solve -f - 6 = -k for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4302 - 12907\/3. What is the third biggest value in -1, t, 1.7, 2\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2086 is divided by 1361?\nAnswer: 725","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 979 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(2*c - 3*c - 10*c).\nAnswer: -11*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 3*u**2 - 3. Let v be h(-3). Let n(o) = 2*o + 5. Let l(q) = 19*q + 2 - 25*q - 16. Determine v*l(w) - 8*n(w).\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1880 + 5366. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.4, -8 in decreasing order.\nAnswer: 1, 0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 7:24 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/444*-74)\/(4\/42).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -w**4\/24 + w**3\/6 + 5*w**2. Let u(a) = -a**2 + 9*a - 8. Calculate 2*u(y) + 18*z(y).\nAnswer: -2*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, 18, 1\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + 0. Suppose -23 = 4*z - 3. Let u(h) = h**2 + 5*h + 2. Let l be u(z). Solve -1 - s = -l*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 169*l - 1032*l - 2204*l - 2 + 616*l in the form g + u*l and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 110110000110101111 (base 2) to base 3\nAnswer: 102020222222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 2*u**2 - 4*u - 3. Let c be p(-3). Is c less than 413?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1177*c + 1312*c - 540 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 177 and 282669?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nhucnnuucucns. What is prob of picking 1 h and 2 n?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 375*f + 378*f + 4 + 11 - 755*f. Calculate m(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22 + -23 - (-2 + (-2 - -2)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2094, 16446, 55410, 131292, 256398, 443034, 703506?\nAnswer: 1050120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 86.84 less than 0?\nAnswer: -86.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 9. Let l be p(7). Let f(x) = x**3 + 2. Is f(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.654 + -0.356. Let c = -0.43 + 1.04. Let b = c + t. What is the nearest to -1 in b, 0.2, 19?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 17\/42 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2. Let t(z) be the first derivative of 6 + 0*z + 0*z**2 - 1\/3*z**3. Determine t(f(w)).\nAnswer: -9*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/11 != 405.53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**2. Let t(i) = i + 1. Let n be t(-5). Let f = n - -5. Let q(x) = -1 + x**2 + f. Give q(s(m)).\nAnswer: m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in 2381, -1\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 310 - 307. Let -30*w**2 - n*w**3 - 99*w - 17 - 74 - 17 = 0. Calculate w.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3434 - 2349. Calculate the highest common divisor of 70 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54325195649 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 28\/(-35)*(-10)\/4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 9:19 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 4*g - 66. Determine j(15).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -3*y - 4. Let z be i(-3). Solve -6 + 26 = z*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2211332231003 - 32?\nAnswer: 2211332230311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 123374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 248*k = 681*k, 3*w - 2*k + 5 = k - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -666*l**2 + 35*l + 37. Give z(-1).\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 351?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 21*k - 24*k. Suppose k*z + 64 = 5*i, -5*z - 27 = 2*i - 5*i. Solve 4*w + i = -4*n + n, -5*w = -n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 18 = 39. Does 9 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (-9)\/3 + 377\/104. What is the closest to b in 0, -2\/7, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -114064052866 + 0.8\nAnswer: -114064052865.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (57\/95)\/(1017\/(-19210))\nAnswer: -34\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, y: 1, l: 2}. What is prob of sequence yml?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18927*v**5 + 3*v**4 + 2*v**3 - 198920*v + 1 wrt v.\nAnswer: -378540*v**3 + 36*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r\/(r*r*r*r**(-2\/7))*r*r))**34 assuming r is positive.\nAnswer: r**(170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -64698.7 - -72014. Round m to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zjhw when four letters picked without replacement from {h: 1, z: 1, v: 1, w: 1, j: 3}?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7958 is divided by 1220.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5457 + -5033. Calculate the smallest common multiple of 28 and z.\nAnswer: 2968","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -2 - 1. Suppose 4*g = v*p - 54, 5*g + 58 = p - 2*p. Find the common denominator of (-14*(-1)\/g)\/3 and -143\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3735 = -7*z - 8*z. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 4, -4, 11, 2 in ascending order.\nAnswer: -4, -1, 2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 13*c**3 + 6*c**2 + 3*c. Let s be z(5). What is s rounded to the nearest 100?\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**3\/19 + 8428*y**2\/19 - 493870*y\/19 + 7185504\/19 = 0?\nAnswer: -4272, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 + -54. Let f = -23.19 - -1.19. Let y = f - u. What is the third biggest value in y, 5, 2\/9?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**2 - 69*n. Let z(d) = -d. Determine x(z(m)).\nAnswer: -m**2 + 69*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/10 and 59\/268?\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -112.6? (a) 7\/4 (b) -681 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 207518.4114 and -1605.\nAnswer: 205913.4114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-21)*84\/(-60).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 811 by -2.\nAnswer: -811\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 4*b - 9 = -p, -62 = -5*p + 3*b. Solve -3*m - 2 = p for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10792734*j**2 + 5432132 wrt j.\nAnswer: -21585468*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the second derivative of 2432*y**6\/15 + 5375*y**4\/12 + 10*y + 97. Find the third derivative of h(t) wrt t.\nAnswer: 116736*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1171\/120 + 49\/5. Let o(k) be the second derivative of 0 - 1\/12*k**3 + d*k**4 + 0*k**2 - 4*k. Suppose o(w) = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1628 + 1628 - 49*l - l - 2*l + l + (-5 - 1 + 5)*(-l - 2*l + 5*l) + 2*l - 3*l + 2*l + 2*l - 3 + 3.\nAnswer: -50*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**4\/12 + 19*z**3\/6 - 101*z**2\/2 + 3*z - 38. Let u be i(-24). Solve u = -a + 17 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-60)\/28 + (-73112)\/(-3458)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 4*f + 5. Let b be s(0). Let x(j) = b + 1 - 4 - 1. Let a(p) = -p + 10. Determine -2*a(d) + 18*x(d).\nAnswer: 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 30 + 40*r - 8*r**2 - 6*r + 6*r**2 - 48 - 14. Suppose 0 = -5*y + 105 - 40. Calculate the remainder when b(y) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 AM and 8:14 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-2\/3))**39*(m\/(m**(-1)*m))\/((m\/(m**4\/m))\/m))**(-22\/7))**(-10\/13) assuming m is positive.\nAnswer: m**(-4840\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 20 = -5*v + k, 2*k - 7 = 3*v. Let a be 0*(-2)\/(-6) - v. Let z be a\/3 + (-8)\/12. Is 2\/19 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 57349083, 114698173, 172047263, 229396353?\n\"Answer: 57349090*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of t**8\/1120 - t**7\/840 + t**4\/12 + 6*t. Let v(j) be the third derivative of b(j). What is the third derivative of v(z) wrt z?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5288*m**3*p**3 + 21630803*m**3*p + 2281*p**3 wrt p?\nAnswer: -31728*m**3*p + 13686*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160197 and 1608.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17 and 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0 - (8 + 5) - (141 - 140).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167806 is divided by 5785?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -366 (b) 0.3 (c) -5 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + (9 - 12) + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-20)\/(-12)*(0 - -6). Let a = -14 + h. Let g be (-3 + 6)*a\/(-3). Solve -4 = g*t - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 200225 + -5?\nAnswer: 200220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -717.32 less than -355574343?\nAnswer: -355573625.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*v = 0, 5*v = -2*s + s. Suppose s*m - c + 692 = 2*m, -2 = -c. What is the greatest common factor of 15 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/3518600 and -31\/24.\nAnswer: 10555800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 + 29810*p**4 + 347426*p**3 + 505860*p**2 - 3126277*p + 972650 = 0.\nAnswer: -9925, -7, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 - 3*l**2 + l + 8. Suppose 0 = -3*q + 3 + 12. Let p(f) = 3*f**3 + 7*f**2 - 3*f - 15. Let u(i) = q*a(i) + 3*p(i). Give u(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.24 (b) 21491 (c) 147\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001044 to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -4*s + 16. Suppose 140 = s*k - 12*k. Does 16 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a day in hours?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 31 + 3 = 0. Suppose z = 2*z + 4*k - 469, j*k + 950 = 2*z. Let a = z - 329. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*w = -139 - 156. Let n(t) = 192*t**3 - 2*t + 1. Let s be n(1). Find the third derivative of y**w + 191*y**4 - s*y**4 + 6*y**2 - y**2 wrt y.\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1562*r**3 - 1368*r**3 - 1820*r**2 + 521*r**3 wrt r.\nAnswer: -14454","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34342 at least 34339?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*n, 5*f - 4*f + 88 = 3*n. Let c = -100 - f. Let m = -3 + 6. Sort c, m, -4.\nAnswer: -4, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-5) + 1\/30. Sort f, -5, 6.\nAnswer: -5, f, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 1\/2 (c) 4 (d) -4744 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754.95 hours in nanoseconds?\nAnswer: 6317820000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - 3*n + 4*o + 10, 3*o = -n + 12. Suppose n*k - 36 = 5*k. What is the remainder when 105 is divided by k?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000140891 rounded to five decimal places?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2019*o**2 + 66*o + 74*o - 140*o.\nAnswer: 2019*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 + 52. List the prime factors of 4 + (9\/(-27) - (-1682)\/m).\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of o**8\/36960 + o**7\/13860 + 5*o**4\/24 + 11*o**2. Let z(g) be the second derivative of y(g). Factor z(q).\nAnswer: 2*q**2*(q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 11*p - 70. What is the lowest common multiple of 7 and p?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21420, -22552, -23658, -24726, -25744, -26700, -27582, -28378?\nAnswer: -29076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 0. Suppose m - 1 + 2 = n. Let z(t) = 32*t**2 + 1. Is z(m) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12472461803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 8 = 2*n + 6, 3*n - 9 = 0. Solve q*a = -5*k + a + 33, -1 = k - 3*a for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2777 a factor of 683817325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.4854 rounded to 0 decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/96 and 332\/(-42)*((-4)\/(-6))\/(3040\/(-266)).\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 498 + -476. Calculate the smallest common multiple of r and 55.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-56)\/(-12) - 2\/3. Suppose s*a = a. What is the second derivative of 2*h**2 - 3 + 3 - 2*h + a*h**2 wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -31*y**4 + 6*y**3 + 3*y**2 - 3*y + 147. Let u(s) = -2*s**3 - s**2 + s - 2. Let d(q) = -3*u(q) - w(q). What is the derivative of d(b) wrt b?\nAnswer: 124*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 3*v + 644, 4*a - 10*v + 6*v = 2592. Calculate the highest common divisor of 100 and a.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 10:50 AM?\nAnswer: 546","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -11*o**3 + 3*o**2 + 2*o + 3. Give a(-3).\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -n**3*u**3*y - 70*n**3*u**3 + 2*n*u**3*y - 2*n*u**2 + 768*u**2*y wrt n?\nAnswer: -6*n*u**3*y - 420*n*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 10\/5297611?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -90*i**3 - 6*i**2 - 3*i - 2. What is the units digit of j(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/(-18)*(-3)\/6*6.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - 24*l**2 - 27*l - 24. Let b be o(25). Let c = b + 80. Solve t + 4 = a, 0 = -3*t - 5*a + 2*a - c for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**2. Let k(x) be the third derivative of 0*x - 5\/24*x**4 + 0 + 0*x**3 - 3*x**2. Give k(r(i)).\nAnswer: 10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -196290934 divided by -14020781?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4603522 + -46081161\/10. Let s = x - -4582. Let f = -2057\/1062 - -52\/59. Find the common denominator of f and s.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 21012579?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3266, -3268, -3270, -3272?\nAnswer: -3274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*i**4 - i**3 - 5*i**4 + 21*i**4 + 3*i + 7*i**4 + 17*i**4 as g*i**2 + c + k*i**4 + h*i**3 + p*i and give k.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1795152289.\nAnswer: 7, 103, 401, 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*t + 27*t + 29*t + 8*t.\nAnswer: 49*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - -1)*-2 - -1. Let o be (2 + -1)\/(1\/(m - -6)). Is (9 + -760)\/(0 + o + -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5 - 15 = 0, -5*q + 37 = 3*d. Let m = 19 - d. Suppose 0 = -3*b + 4*b + 3, 3*p = -4*b. Solve p*c - u - 5 = 0, m = -5*c + u + 2*u + 1 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 10:14 PM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 1859*j - 1856. Let y be l(1). Solve 0 + 8 = -y*i + 2*p, -2*i - 5*p + 20 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 244872 divided by 1074\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 1, -2\/43, 5 in descending order.\nAnswer: 5, 1, -2\/43, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 9 = -2*x - f, -5*f = 143 - 158 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {l: 6, m: 11, p: 1}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1353*g - 5715.\nAnswer: 1353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - x + 5. Let w be f(0). Let t(o) be the second derivative of -1\/48*o**4 + o + 1\/8*o**2 + 1\/24*o**3 + 0 - 1\/80*o**w. Factor t(s).\nAnswer: -(s - 1)*(s + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {q: 5, m: 5, y: 8}.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 (base 5) in base 14?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 8:29 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epp when three letters picked without replacement from {p: 4, e: 10}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 3 - (1 - (3 + -5))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*k = -0*k + 4*g - 42, -8*g = k - 34*g - 7*g + 332 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5648863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 15403876 a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0573794754892 and 0.2?\nAnswer: 0.2573794754892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**4\/24 + t**3\/6 - 4*t**2. Suppose 13 - 29 = -2*r. Suppose 5 = r*p + 53. Let o(z) = 2*z**2 - 8*z + 4. Give p*b(y) + o(y).\nAnswer: 2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -123196*d**4 - 25*d**3 + 2*d**2 + 199906031*d wrt d.\nAnswer: -1478352*d**2 - 150*d + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 599 - 1049. Let z(t) = -t**2 - t + 713. Let j be z(0). Let s = j + p. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/3)\/(9\/27). Let y(b) = 2 - p + 2*b - 4*b. Let l(z) be the first derivative of 4*z**3 + 11. Determine l(y(q)).\nAnswer: 48*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 11\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -48 + (0 - ((-4 - -1) + 70 + -62)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2203 (base 6) in base 4?\nAnswer: -13323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*w - 3*u + 20, -5*w - 3*u - u - 25 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3727290055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 3*c - 12, c = -4*k + 4*c - 12. Let s(p) be the third derivative of 0*p + 0*p**4 + k + 0*p**5 - 5\/6*p**3 + 1\/120*p**6 - p**2. What is s(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z - 4*z - z + (1 + 1 - 1)*(0 - z + 0))*(-7*z**2 + 10*z**2 - 9*z**2) - 2*z + z**3 + 2*z as y*z**2 + k*z**3 + h + a*z and give k.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 7 - 7)*(2*z - 4*z + 4*z)*(-95 + 95 + 8*z)*(0 + 5 - 4).\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of p**4\/6 + p**3 + 2*p**2 + 19*p. Let g(k) = 0. Calculate k.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 17*q + 55. Let j(l) = -8*l - 27. Let b(v) = -6*i(v) - 13*j(v). Let y be b(-8). Let n be (y - 9)*(2\/2 + -2). Let h(d) = d**2 - 5*d + 1. Give h(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, v: 1, l: 7}. What is prob of picking 3 v and 1 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -89, -93?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - h - 16, -4*h - 50 = w - 4*w. What is the highest common divisor of 21 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.23 - -35.68. Let p = l + 2.25. Let u = -25 + p. Round u to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 4*b - 3*g - 35, 3*g = -b - 11. Let z be -1 + 10 + (-1 - -2). Let j = 15 - z. Solve b = 2*n + 4*l - 6, -l = -j*n + 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 5 = -0, 2*s + 23309 - 23299 = -4*c for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3639 (b) -428 (c) -33 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and 198.\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 131606.\nAnswer: -2\/65803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 - 4*p**2 - p**2 - 391 + 5*p**2 + 0*p**2 as l*p + r*p**2 + h and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5000383 * 0.5.\nAnswer: -2500191.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3344?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (24\/360)\/((-6)\/(-6))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b**2 - 1201 + 146*b**2 + 1201 + 32*b**2.\nAnswer: 158*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -142 - -1124?\nAnswer: 432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 45\/12)\/(2 + -1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in 3.8, 1298, 7\/5, 3\/5, 1?\nAnswer: 3.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -4.6. Let r = j + -0.6. Let m be 5\/7 - (0 - -1). Put 2, m, r in increasing order.\nAnswer: m, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes before 4:41 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 PM and 7:27 PM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 681709.8l to millilitres.\nAnswer: 681709800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 69?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1740 and 180?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 256693091?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126.65298691 + -1.14641429. Let f = o + 127.8. Round f to 5 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -a - 2*x - 2*x, x - 11 = 2*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/48 and 41\/2304.\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**4 - p**2 - p - 1. Let a(l) = 12*l**4 - 6*l**2 + 3*l - 6. Let d(y) = a(y) - 6*o(y). What is the second derivative of d(g) wrt g?\nAnswer: 72*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 489 = 3*c - 3*w + 123, -4*c + 488 = 4*w. 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 second derivative of -20782696*i*l**3 + 38*i*l - 155775*i wrt l?\nAnswer: -124696176*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + 3)*-6)**2.\nAnswer: 2160*sqrt(2) + 7524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of i**4\/4 + 10*i**3\/3 + 9*i**2\/2 - 5*i - 2. Is t(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1493088)\/(-4326) + 30\/(-14). Which is greater: 361 or u?\nAnswer: 361","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10942 at most -10943?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5 = -4. Let i be 0 - v - 0\/1. What is the highest common factor of i and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -204544800 to the nearest 1000000.\nAnswer: -205000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1411 (b) 2\/7 (c) -0.12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 17494230 divided by 5?\nAnswer: 3498846","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 = -1060*f + 1102*f + 1966 for f.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 113 (b) -2\/11 (c) 6\/7 (d) 0.108 (e) -5 (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**4 - 5*c**3 + 5*c**3 + 2*c**2)*(-3 + 3 + 2*c).\nAnswer: 10*c**5 + 4*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 5, t: 4, b: 1, f: 1, z: 3, p: 4}. Give prob of sequence tzzp.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 + 9. Suppose g*x + 2*x - 20 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -3*o**3 - 4*o**2 + 1. Give y(-3).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3011569, 3011569, 3011571, 3011575?\n\"Answer: p**2 - 3*p + 3011571","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -7. Solve 0*s = -k*s + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2009552?\nAnswer: 2, 125597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4 - 96*w**3 + 183*w**2 - 90*w.\nAnswer: 3*w*(w - 30)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1463593943 rounded to the nearest one hundred thousand?\nAnswer: 1463600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 13 = 25. Let j = -15 - y. Suppose 0 = j*r + r - 155. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**5 + 0*v**3 + 0 + 0*v**2 + 0*v - 2\/3*v**4.\nAnswer: -v**4*(3*v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xgddgfgxxxxxgxxggxgx?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 513 by -8.\nAnswer: -513\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + -6 + (6 + (-4 - -3) - 5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 7330.8827 and 2.427.\nAnswer: 7333.3097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59442, 119175, 178818, 238365, 297810?\nAnswer: 357147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -549 = -4*x - 569. Let l be (-12 - x)*5\/(-35). What is the second smallest value in -0.01, l, -9, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 less than 0.2?\nAnswer: 221.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*p - 24*p + 2135 = 0. Does 64 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -130 + 151. Solve -16*k - 101 + l = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let r = 37\/22 + -3\/2. Let f(j) = -5*j + 20. Let u be f(3). Sort u, r, s.\nAnswer: s, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c - c - 3*c)*(1 - 6 - 7 + (0 + 0 - 1)*(-3 + 1 + 1) + 1 + 0 + 1) to w*c + p and give w.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 13\/4*a**4 + 1\/2*a**3 - 1\/4*a**5 - 13\/2*a**2 - 1\/4*a + 13\/4 = 0.\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 + 10. Let h = -15.9 + 13. Let x = h - -3. Which is the closest to x? (a) 1\/7 (b) 0 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 24*r**2 + 51*r + 26.\nAnswer: -(r - 26)*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -88 + -1201?\nAnswer: -1289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 415 is divided by 399.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - 3*m**2 + 3*m**2)*(3 - 3 - 3) + 14*m**3 - 24*m**3 - 9*m**3.\nAnswer: -22*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, p: 2, s: 1, o: 1, w: 1}. What is prob of sequence wf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 11*s - 30. Let t be n(3). Suppose 0 = -3*r - 11*g + 16*g - 23, 0 = r + g - t. Let x(q) = -q**2 + 1 - 3 - 2*q**3 + 3 + q. What is x(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/6 in -2, -2\/13, 7\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*w + 43*w - 97*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 5 + 5)*(c - 8 + 8).\nAnswer: -27*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*7*28*(-29)\/(-19894)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(1 - 0)*-1. Let d = -5036764925\/6736166762 - -6\/4391243. Let v = d + 19\/26. Which is smaller: a or v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 888.1744 years in months?\nAnswer: 10658.0928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -67 - -76. Let z(j) = -j**2 + 11*j - 1. Calculate z(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g**2 - 174*g - 1449. Let c(r) = -120*r**2 - 2960*r - 24635. Let n(z) = 2*c(z) - 35*d(z). Factor n(b).\nAnswer: 5*(b + 17)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95317465?\nAnswer: 5, 197, 96769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 11*n**3 - 2*n**2 + n - 5. Let j be f(4). Let u = j - 453. Suppose 0 = 5*w - 17 - u. What are the prime factors of w?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -283 (base 15) to base 13\nAnswer: -351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 7*y + 5. Let k be i(-6). Let f(r) = 14*r**2 - 23*r**3 + 72*r - 12*r**2 - 2 - 73*r. Does 8 divide f(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 177883 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4207*g**3 - 6*g**2 + 9*g - 2 wrt g?\nAnswer: -25242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d = -13*d - 2*n + 25, 2*n = 5*d - 5. Suppose y - 3*j = -3, 3*j - 3 = d*y - y. Factor y + 1\/6*u - 1\/6*u**2.\nAnswer: -u*(u - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 7\/2)*8\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 8 - (-3 + 0 - -2 - 2).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186036848?\nAnswer: 2, 17, 179, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -571127 (base 8) to base 15\nAnswer: -3c341","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2\/11 - 190*t\/11 - 188\/11.\nAnswer: -2*(t + 1)*(t + 94)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 3087 = 5*f + 3072, -2*c - 8 = -3*f for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -468.85 + 469. Let f = 0.014 + -0.229. Let v = t + f. What is v rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38509 = 529*c + 1602*c - 19028 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, 1, 47, 3, -5, -2.\nAnswer: -119, -5, -2, 1, 3, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 45, 205, 475, 849, 1321, 1885, 2535?\nAnswer: 3265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 211, 1348, 3393, 6346, 10207, 14976?\n\"Answer: 454*n**2 - 225*n - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*y + 47*y - 21, -591 = -4*u + 5*y. Calculate the remainder when u is divided by 47.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33424.\nAnswer: 2, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, f: 2}. Give prob of picking 2 b and 2 f.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 13749, 28007, 42265, 56523, 70781, 85039?\n\"Answer: 14258*g - 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142682 to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3559*q - 3568*q + 108. Solve -13*d + 14*d = -4*z + q, -z + 16 = -3*d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 84 and 443205.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -5*f + 177. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 35, 9, -69, -223, -477, -855, -1381?\nAnswer: -2079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0 - -2)\/1 - -2. Let w = 1 - p. What is the units digit of (1 + (-26)\/6)*w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-121)\/((-11858)\/(-18312)))\/(4\/(-42)). Sort 3, -4, g in increasing order.\nAnswer: -4, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1, 220 = -2*c + 3*c - 3*z. Let w be (16\/12)\/(4\/6). Suppose 3*r - 2*f = c, -w*r - 4*f + 128 = -2*f. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4) + (1065\/(-90) - -12) - 8802\/(-162)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1796\/13 - 138. Suppose 2*u - 26*u = 24. Which is the closest to 2\/5? (a) 4\/9 (b) q (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - r**3 + 4*r**3 + (3*r**2 - 5*r**2 + r**2)*(-r - 2 + 2))*(-r - 2*r + 5*r).\nAnswer: 12*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 427481886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 159*o**2 - o - 1. Is g(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:42 PM and 3:53 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + -2. Suppose -10*v = -14*v + j. Suppose -v*u = 0, 276 = 4*t + 7*u - 3*u. Is t a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f + 4. Let a be r(5). Let j = 79.21 - 73.21. What is the closest to a in 3, -0.01, j?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 183232 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*x - x. Let j(d) = -x*d**2 - d - d**2 + d. Let o(i) = -i**2 + 4*i. Let q(s) = -s**2 + 3*s. Let f(m) = -3*o(m) + 4*q(m). Calculate j(f(p)).\nAnswer: -9*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**2 + 52*a = 0 for a.\nAnswer: 0, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -422*h - 3. What is m(0)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 - -332292\nAnswer: 332292.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + sqrt(84)\/sqrt(3))**2.\nAnswer: -4*sqrt(7) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7619 + -7606. What is the remainder when 1\/3 - (-191)\/3 is divided by h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -141917153, -283834301, -425751449, -567668597, -709585745, -851502893?\n\"Answer: -141917148*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1585042*g**3 - 1585045*g**3 + 4755137*g**3 - 1585048*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 - ((-6 - -1) + -1). Let d be 9\/3 + w + (209 - 6). Calculate the highest common factor of d and 69.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -10 + 1 + h + 0*h. Let o be x(6). Let d(l) = -2*l + 3. Let f be d(o). What is the highest common divisor of 81 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1366*a**3*n**2 - 146348*a**3 + 15*a**2*n**4 wrt n?\nAnswer: 2732*a**3*n + 60*a**2*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 14*s. Let u(k) = 9*k. Let x(d) = 5*l(d) - 8*u(d). Let r(f) = -456*f - 1. Calculate x(r(h)).\nAnswer: 912*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 198*j**3 - 6*j + 92*j**3 + 90*j**3 as s*j + n*j**3 + t + o*j**2 and give n.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 24, 2\/3, 2\/9, 2\/17?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00459337 rounded to 3 dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3371 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -3*r - 5*f + 6, 23 = 5*r + f. Suppose 210 = r*h + 2*h. What is the tens digit of (410\/h)\/(1\/7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*b - 17 = 0, -j + b = -2*b - 17. Calculate the remainder when 18 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -94b + -495a?\nAnswer: -56a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 83 + -2 + -1 - 0. Let a(d) = d**3 + 8*d**2 + 4*d - 1. Let m be a(-3). Differentiate m - p + 79 + 40*v**4 with respect to v.\nAnswer: 160*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5755201 * -0.6.\nAnswer: 3453120.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 4986852?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 7040 = 9*s - 22*s. What is the least common multiple of s and 200?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 876843?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, h: 1, j: 2, l: 1}. What is prob of sequence yjj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 8*c + 12. Let v be b(9). Let k = v - -5. Calculate the highest common factor of k and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2a26 - -4?\nAnswer: 2a2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -1205*z - 366329. Calculate o(-304).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -247*j - 310*j + 755*j - 271*j.\nAnswer: -73*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1644256450?\nAnswer: 2, 5, 32885129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 32 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 * -23.\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lkkl. What is prob of sequence ll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*n**5 + 9 - 9 + (1 + n**4 - 1)*(-4*n - 3*n + 5*n) - 4 + 2*n**5 + 4.\nAnswer: 9*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -10*j. Suppose 10*i - 178 + 218 = 0. Give w(i).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y + 7. Let l be v(6). Let t = l - -4. Suppose 0 = 3*i - 2*c + 18, 37 = 3*i - 4*c + 67. Is t bigger than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 752 - 747. Solve 4*q + l*s = -q + 5, -2*s = 3*q - 7 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 34838?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.38 - 0.28. Let k = 0.3 + -1.3. Is k greater than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 at most -269?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -164045?\nAnswer: 164050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16436 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 2*f**2 - 7*f. Suppose -5*c = y - 30, -2*y = 5*c - 17 - 13. Let k(z) = -5*z. Let r(x) = 14*x. Let h(a) = c*r(a) + 17*k(a). Determine w(h(d)).\nAnswer: 2*d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**3 - 3*s**2 + 3*s + 5. Let p be z(3). Let a be 2\/(-6) + p\/(-3). Is a bigger than -23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence is when two letters picked without replacement from swsfffizf?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 at most as big as -251211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*y - 112 - 84 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -2*s + j, 2 = -3*j + 17. Let r be (-976)\/s + 14\/49. Calculate the greatest common factor of r and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one fifth of a century?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 8*t - 10. Let h be a(6). Suppose -3*u = -5*d - 8, -5*d = 2*u + 19 + 9. Let o be (4 - 7) + 2 + 1. Put o, u, h in descending order.\nAnswer: h, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -9*k - 2. Let q(z) = z**3 + 9*z**2 - 10*z + 6. Let t be q(-10). Let l(d) = -19*d - 4. What is t*l(s) - 13*n(s)?\nAnswer: 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -208 and 2.4.\nAnswer: -205.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 2*z**2 - z + 7. Determine c(5).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 329*k**6*z + 153502*k**3*z - 18*k**2*z + 127*k**2 - 205*k*z + z + 7 wrt k.\nAnswer: 39480*k**3*z + 921012*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 3*x**3 - 5*x + 14. Let f(b) = 2*b**3 - 6*b + 15. Let v(i) = -6*c(i) + 5*f(i). Differentiate v(u) wrt u.\nAnswer: -24*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**4 + 102*p**3 + 636*p**2 - 3990*p + 3249.\nAnswer: 3*(p - 3)*(p - 1)*(p + 19)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, -0.0683466, 2\/9, 3\/2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 - (46\/(-2) + 1). Suppose 7*g - 2*g - 50 = 4*m, -g + 3*m = -i. Let r(k) = k**3 + 0 - 5*k**2 - 30*k + 23*k + 1. Give r(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.65 and 0.7?\nAnswer: -0.455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6420484305 rounded to two decimal places?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/7))**(-2\/5)\/(q\/(q\/q**19))**(1\/4) assuming q is positive.\nAnswer: q**(-641\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 5*y**2 - 3*y - 10. Let b be q(-4). Let c = 52 - b. List the prime factors of c.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20119219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 + 180*t**2 - 7618*t + 123. Calculate z(68).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 131 (c) -0.5 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f*f**(-9\/4)))**(6\/11))**(-1\/10))**(1\/60) assuming f is positive.\nAnswer: f**(-9\/4400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**4\/24 - 2*g**2. Let o be p(2). Suppose 0*y - 4*j = 4*y - 116, o*y = 2*j + 46. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 2*o**2 - 5 + (0 - 1 + 2)*(0 - o**2 + 0) + 2*o**2 + 4*o - 4*o + 0*o**2 - o**2 - 3*o**2)*(-46*o + 46*o + 49*o**2).\nAnswer: -49*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -2*u**2. Let r(s) = -15*s**2 + 3*s. What is r(g(n))?\nAnswer: -60*n**4 - 6*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109.5 - -113.5. Put -4\/7, -0.3, f in increasing order.\nAnswer: -4\/7, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -1 in descending order.\nAnswer: 5, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-140))\/((-28)\/840)\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 + 6*l**2 + 8*l + 2. Let c be o(-6). Let t = c + 67. What are the prime factors of t?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -94*q**2 + 10*q + 8. Let u be j(-4). Let g be (-9)\/15 + u\/(-10). Let v = -179 - -196. Calculate the greatest common divisor of g and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - h**2 + 3*h + 1043. Let y = -54 + 54. Is t(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 117 - 92. Let o(h) = h**2 - 20*h - 124. Let q be o(j). Solve 2*s - q = -3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19e8 - 0?\nAnswer: -19e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130481 is divided by 1020.\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 19 + 39. Let n = h + -52. Solve 2*i - n*i = -20 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245)*-1)**2 + sqrt(180) + -1 + (sqrt(20)\/(sqrt(8)\/sqrt(2)) - (4 + 0 + sqrt(5))**2).\nAnswer: -sqrt(5) + 223","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 6, 0, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 10 = -2*t. Let i = 6 - t. Let f(a) = -5*a + 1. Determine f(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -402 in -0.5, 9, -0.1, -22, 0?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imdmdbadbdabdiddimia. What is prob of picking 2 d?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133 - -178. Which is the second biggest value? (a) h (b) 2 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -4 - 2 - 2 + u**2 + 9*u. Let g be k(-10). Suppose 0 = 2*h - 2, 2*h - 8 = -g*c. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, 4, -7 in descending order.\nAnswer: 4, -7, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 29 (base 13) to base 11\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2*q + 2 + (-1 + 1 + 3*q)*(-4 + 1 + 2) + (-3*q - 5*q + 2*q)*(-4 + 2 + 7).\nAnswer: -31*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 + 1246\/84)*(-1*2 - 1)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 342452 (base 9) to base 10\nAnswer: 205220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**5 - 39*v**4 - 645*v**3 + 3015*v**2 - 918*v - 4536 = 0. Calculate v.\nAnswer: -12, -1, 2, 3, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -238995 or 1630?\nAnswer: -238995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1525238?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -22*v**2 + 6*v + 7. Let g(t) = -23*t**2 + 5*t + 6. Give -7*g(f) + 6*u(f).\nAnswer: 29*f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c. Let b(y) = -y**3 - 7*y**2 + 4*y + 10. Let u(d) = b(d) + 5*t(d). Let f be u(-8). What is the nearest to 0 in f, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, -2\/7, 42\/41, -36 in decreasing order.\nAnswer: 42\/41, -2\/7, -1\/2, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*q - 261472 = 854728. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13819172?\nAnswer: 2, 3454793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 196 + -195.7. What is the closest to c in -0.2, 1\/5, 7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1988 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1140, 1911, 2730, 3621, 4608, 5715, 6966, 8385?\n\"Answer: 4*d**3 + 743*d + 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(16)\/sqrt(128) + sqrt(10)\/sqrt(20).\nAnswer: 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 11*y = 2916. Let b = -164 - y. Does 40 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2943, 3535, 4527, 5925, 7735, 9963, 12615, 15697?\n\"Answer: l**3 + 194*l**2 + 3*l + 2745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -27. Suppose k*a - 12*a + 140 = 0. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + r = 6. Is r equal to 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 + 8495440*k - 3608625039680.\nAnswer: -5*(k - 849544)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**3*n**3 - 1106*c**3 + 295*c*n**3 - 62*c + 2*n + 3 wrt n?\nAnswer: -6*c**3*n**2 + 885*c*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -244*x**3 - 227*x**3 - 4 + 473*x**3 - 8*x + 2 + 4 to d*x**3 + k*x**2 + h*x + i and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 + 25*x - 21. Calculate q(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4 + 5. Suppose i = -3*v + 4*v. Let g(n) = -3*n**2 + n**3 + 0 + 7 - 4 - v. Determine g(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 3)*(-u + 4*u - 2*u) - 64189804*u + 10485 + 9538 + 64189802*u.\nAnswer: -u + 20023","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + -0.2. Let y = -5 + 32. Let u = 27.04 - y. Which is the second biggest value? (a) 5 (b) l (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 7*o - 20. Let b be l(-4). Let n be 20*5\/(-28) + b\/(-14). What is the closest to -3 in -0.19, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6186451?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+-1362.1\nAnswer: -1361.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the first derivative of -4*i**7\/7 - 3*i**3 - 7. What is the third derivative of l(w) wrt w?\nAnswer: -480*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 8*b = -3*b + 11, b = -s - 5. Let a be s - (28\/(-11))\/1. Suppose -2*n**3 + a*n**5 - 2\/11*n**4 + 18\/11*n**2 + 8\/11*n - 8\/11 = 0. What is n?\nAnswer: -2, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.086 - 0.086. Let p = 0.3 - 1.3. What is the closest to b in 0.3, 7, p?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 89 + -49. Let u = k - 33. Suppose 0*m - u*m = -364. List the prime factors of m.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*s**3\/5 - 65*s**2 - 808*s\/5 - 76.\nAnswer: -(s + 2)*(s + 38)*(8*s + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 552558573?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 1:52 PM?\nAnswer: 9:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1606263 to the nearest integer?\nAnswer: 1267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(-30) + 29\/6. Suppose -v = 3*d - 38. Let a(t) = -t**2 + 10*t - 4. What is the remainder when a(4) is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3801*a + 3*a**3 + 1472 - 1474 - 802*a)*(1 - 1 - a) as g*a + u*a**4 + h*a**2 + b + d*a**3 and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(108) + -1*sqrt(108)*-2 + -4)**2.\nAnswer: -1976 + 288*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*h**2 + 31*h**3 - 4*h**3 + 4*h**4 - 11*h**3 - 14*h**3 + 0*h**2 to the form n*h + i + u*h**3 + r*h**2 + j*h**4 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 1391 - 12437 = 0. Let m = g + -2165. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2\/5 + 89812*n\/5 - 8782368\/5 = 0.\nAnswer: 98, 44808","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millisecond in microseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmh when three letters picked without replacement from {m: 6, h: 2, t: 10}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 + 31 = 0. Let v = -74 + t. Let a be (-320)\/v - (-2)\/7. Let u(k) = -k**2 + 8*k - 3. What is u(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**4 - 2 + 2 + (3 - 3 + o**2)*(-4*o**2 + o**2 + 2*o**2) - 4*o**4 + 5*o**4 - 2*o**4 - 45*o**4 + 271*o**4 + 221*o**4 + 135*o**4.\nAnswer: 579*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 16 + 12 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**5 - 3*k**3 + 2*k**2.\nAnswer: k**2*(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 343 + -322. Put 0.3, d, 1\/4 in descending order.\nAnswer: d, 0.3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x**3 - 70889969*x + 70889969*x.\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 14\/49 - (-2416482)\/56. Let l = q - 42882. Let d = -271 + l. Sort d, -1\/4, 0.5 in descending order.\nAnswer: 0.5, -1\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 0) + (10 - 8 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2293*z = 2292*z + 496. What is the greatest common factor of 31 and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3995 + -3968. What is the smallest common multiple of s and (9 + 0)\/(3\/6)?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-148)\/9)\/(6028\/(-13563))?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1*3\/(-7). Suppose c + 3*c - 20 = 0. Let g(r) = r**2 - 7*r + 10. Let j be g(c). Are j and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*n, 5*d + 5*n = 30. Let t(f) = 71*f**2 - 5*f - 2. Let g be t(d). Let q = g - 1603. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -114.1 - -114. Let s = 0.17 + -1.17. What is the third biggest value in t, s, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1038982.\nAnswer: 2, 7, 47, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m - 400. Let y(i) be the third derivative of -i**5\/60 - 1969*i**2 - 2*i. Determine w(y(o)).\nAnswer: 3*o**2 - 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(3\/16)\/(((h*h**(-19))\/h)\/h*h))\/(h\/(h\/(h*h*h**(-5)\/h)))**(-2\/13) assuming h is positive.\nAnswer: h**(3863\/208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 6\/7, -0.018, 0, 5\/6, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7421053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 51)*(-25*y - 11*y - 5*y) + 0*y - 3*y + 4*y.\nAnswer: 1969*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 3*j**5 - 7452*j**4 + 227805*j**3 + 795360*j**2 - 1441548*j - 2001648 = 0.\nAnswer: -4, -1, 2, 34, 2453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1982, 0.6, 0.07 in increasing order.\nAnswer: -1982, 0.07, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11111111011000 - 0?\nAnswer: 11111111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + 4*a - 3*a + (0 + 1 - 3)*(-1 + 1 + a) - a + a - 2*a - 117*a + 51*a - 129*a)*(5*a**2 - 4*a**2 - 3*a**2) to b + g*a + n*a**2 + p*a**3 and give p.\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9*2)\/(-2) - (-10 + 8). Suppose 1779 = w*o - 1785. 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: Let b be 1\/((6\/(-21))\/(-2)). Let u(s) = 3 - s + 3*s - s. What is the units digit of u(b)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 p when three letters picked without replacement from wwpwwwwwwwpwpww?\nAnswer: 198\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -9*j + 113. Let k be g(11). Calculate the highest common divisor of k and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -2*d**2 - 6*d - 13. Let v be t(-3). Let k(a) = 7*a**2 - 2*a + 13. Let o be k(v). Let f = -839 + o. Is f a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15303103 - 3?\nAnswer: 15303100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1106 - 6060 = -2*w, -3610 = -w - 4*j. What is the thousands digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-2) - 2397\/(-14). Suppose -l - 685 = 4*t, 4*t + 0*t = -4*l - 688. Let f = t + w. What is the second smallest value in f, -5, -0.2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3759 - 3771) + (53 - -1)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (9*1\/(-4))\/(((-91)\/208)\/(-1))?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1056 - 220632?\nAnswer: -217554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 2, m: 5}. What is prob of picking 1 m and 1 r?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*k = 17*k + 208. Let u = k + -50. Suppose 2*g - 15 = -5*w, 3*g + 5*w - 15 = u*g. Which is smaller: g or 6\/17?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 40230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q = 3. Let n be ((12\/(-10))\/(-3))\/(27 - 5073\/190). Factor -2*w**q + 4\/3*w**4 - n*w**2 + 0 + 0*w.\nAnswer: 2*w**2*(w - 2)*(2*w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -557 - -557.2. Let p be 3\/(-6) + 2\/(-4). Which is the closest to 0? (a) p (b) -0.5 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*q + 38 + 18. Suppose 5*b + j - 22 = 0, j = 5*b - q*j - 14. What is the closest to -0.3 in -5, b, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 23*p**2 - 50. Let x be j(19). Suppose 9*w - x = -503. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5*i**2 + 3. Let r(j) = 290*j. Give r(p(u)).\nAnswer: -1450*u**2 + 870","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 1:21 AM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 2 + 3 - 86*c**2 - 5.\nAnswer: -86*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*t - 64. Calculate the highest common divisor of t and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the second derivative of r**6\/120 - r**5\/60 - r**4\/6 - r. Let g(i) be the third derivative of u(i). Differentiate g(p) wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventeen tenths of a microgram?\nAnswer: 1700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 209\/(-38)*(-27)\/(513\/38)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -2101101202011022?\nAnswer: -2101101202011020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0296 + 8218.965?\nAnswer: 8218.9354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 2. What is the tens digit of (-1 - 6\/h) + 46?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2370012 divided by 25484\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2080698054 to the nearest integer?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -11*z**2 - 34548*z - 206895. Calculate s(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8261.2l in millilitres?\nAnswer: 8261200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*((-170)\/(-20) - 7). Solve -z - i = -4*t, -2*z + 4*z + 6 = -4*t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (107\/26 - 4)*-2. Let f = -28\/65 - k. Which is the fourth smallest value? (a) -3\/4 (b) -0.5 (c) 0.5 (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-2))\/(21*(-15)\/75)\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 7:08 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 + 46 = -2*g. Calculate the remainder when 100 is divided by (12\/20)\/(g\/90).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 66\/(-216) + (-1)\/(-12).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 199 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*r*t**4 - 1303691*r*t**3*x - r*t**2*x + 3*r*t*x + t**3 + 4*t**2*x + 3107*t**2 - 1 wrt t.\nAnswer: -72*r*t - 7822146*r*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/13 + 38310760*n\/13 + 183464291472200\/13.\nAnswer: 2*(n + 9577690)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -11*i**3 - i**2 - 6*i - 7. Let r be z(-1). What is the highest common divisor of r and 384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + -225536?\nAnswer: -225552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j\/(j*j\/(j**(-5)\/j*j))))\/j*j**(-16)\/j assuming j is positive.\nAnswer: j**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 16. Let p(j) be the first derivative of j**4\/4 - 5*j**3\/3 + 3*j**2 + j + 5. Is 11 a factor of p(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-5 + (5*(sqrt(891) + 1*sqrt(891) + sqrt(891))**2 + sqrt(891))*4 + (2*(0 + sqrt(891)) + -1)*3).\nAnswer: -641488 - 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 2 j when four letters picked without replacement from {d: 5, f: 2, j: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 2. Suppose -m*z + 3 = -35. Let h(q) = q**2 - q - 1. Let i be h(-4). What is the highest common factor of z and i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 335155922 to the nearest integer?\nAnswer: 18307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m**2 + 0*m**2 + 3881367*m - 3881364*m. Let p(i) = -11*i**2 + 17*i. Determine -6*p(u) + 34*r(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.22 - 2. Let g = 0.32 - r. Let a = -0.1 + -0.1. Put 0.5, g, a in decreasing order.\nAnswer: 0.5, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 217, 432, 647, 862?\nAnswer: 1077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -85 in 2\/11, -1\/8, 58\/7, 1\/6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -1077*n - 4315. Determine x(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a decade in months?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 - 2 + 3 - 3*h**2 - 2*h**3 as x + c*h + v*h**3 + u*h**2 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 260813.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.5 - -15.5. Let j = -18.96 + s. Let r be 536\/(-201) - (-4*1 + 1). Sort r, j, -1\/3 in ascending order.\nAnswer: -1\/3, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 5550*y - 215. Does 19 divide o(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 18*i**2. Let d(o) = -23*o + 13. Let g(k) = 11*k - 6. Let p be (3 - (1 - 2)) + -17. Let b(s) = p*g(s) - 6*d(s). What is u(b(j))?\nAnswer: 450*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 1 + 1)*(-1 + 2 + 1) - 3 + 3 - 1)*(13 + 0 - 1)*(169*p**3 - 75*p**3 + 14*p**3) to the form n*p + u + q*p**3 + a*p**2 and give q.\nAnswer: 1296","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 970*a = -110*a - 46440 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343996 is divided by 1381?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*5*(sqrt(1331) + (sqrt(1331) - (sqrt(1331) + 4)))**2.\nAnswer: -880*sqrt(11) + 13470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474*t + 59*t**2 - 59*t**2 + 2*t**3.\nAnswer: 2*t**3 + 474*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4287 is divided by 1018.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6374 and 16942092?\nAnswer: 16942092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0060068 to 5 decimal places.\nAnswer: 0.00601","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002342 to seven dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 + -5. Suppose -9 = 15*k - o. Solve 1 = -v - 0*t - 2*t, -4*v = -3*t + k for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7025143 and 943.\nAnswer: 288030863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 218018713 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the third derivative of -1391*q**4\/6 + 4*q**3\/3 + 9*q**2. Let h be f(-3). What is h rounded to the nearest 1000?\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7944*l = -5175*l - 71994 for l.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 418*u**6 - 2*u**5 - 5*u**3 - 5*u**2 - 16*u + 121.\nAnswer: 50160*u**3 - 120*u**2 - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-98)\/(-4) - 1 - 1. Let n = -91\/4 + p. Let t = -6 - -5.5. What is the closest to n in -1\/9, -1\/3, t?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -10 - 0\/(-5 - (-2 + -2)). Suppose x + 160 = -3*k + 6*x, -k - 4*x - 42 = 0. Let s be (-44)\/q - (-20)\/k. Let z(n) = n + 4. Give z(s).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the second derivative of -11\/3*s**3 + 0*s**2 + 0 - 5*s. Let t(l) = -l**2. Give t(j(u)).\nAnswer: -484*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*u - 11 + 26 = v - 51, 2*v + u = 17 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 21.592 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 950.8968g to kilograms.\nAnswer: 0.9508968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 74723669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 11*j = -15*j + 14*j + 1 - 5, 0 = 4*j for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-153 - -181) + (-37 - -5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 14 = 4. Let s(a) = a**3 + 3*a**2 - 9*a + 3. Let c be s(o). Let l be (-4 + (c - -8))\/(4\/6). Solve 0 = k - l*k + 4*m - 10, 15 = 5*k - 2*m for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-3))\/(5\/75)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 922681 at most as big as 922681?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/15 (b) 0.5 (c) -5 (d) 0 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 13246697 divided by 4\nAnswer: 13246697\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55784 is divided by 393.\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the second derivative of -17221*d**4\/12 + d**3\/3 - 17*d**2\/2 + 2*d - 2. Let s be t(3). Round s to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**3\/4 - 3*o**2 - 29*o\/4 - 9\/2 = 0.\nAnswer: -9, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 5*u + 7*x - 45, -2*x - 9 = -u. Calculate the least common multiple of u and 3\/((-15)\/(-50)) + -1*2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/9, -1\/5, -3\/2, 1, -8?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 346 (base 9) to base 15\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -106 + 312?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19 + 39 - 17 - 2*c + (-2 + 3 - 2)*(-c + 3*c - c).\nAnswer: -3*c + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(190) - (sqrt(190) + 2*sqrt(190) + sqrt(190) + sqrt(190))))\/(1*sqrt(360) + sqrt(360) + sqrt(360)))**2.\nAnswer: 304\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8936, 8985, 9034, 9083?\n\"Answer: 49*u + 8887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 1 + 6 + l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000236 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 12*w - 28. Let p = 49 - 39. Does 46 divide z(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, g: 6, p: 2, z: 1, t: 3}. What is prob of picking 1 o, 1 g, and 1 z?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 43 = -33. Calculate the smallest common multiple of 3 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r + 6. Let v(g) = -g + 7. Suppose 5*k + 461 = 5*a + 441, 0 = a - 5*k - 8. Calculate a*v(b) - 2*x(b).\nAnswer: -b + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 802829327 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 284073 and 2484?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 AM and 9:09 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from qqbqqbb.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77344, 154729, 232114?\nAnswer: 309499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0261, -2\/17, 192 in decreasing order.\nAnswer: 192, -0.0261, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.46 - -0.7. Let w = -0.04 + c. Which is greater: w or 2\/17?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 5, 0.023, 1\/4, 4.\nAnswer: -1, 0.023, 1\/4, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1458)\/2673 - (-2 - (-603939)\/(-11))?\nAnswer: 5, 79, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319721347?\nAnswer: 11, 197, 147541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b - 17802*b**2 + 45 + 35613*b**2 - 17809*b**2 to the form f*b**2 + z + n*b and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 130\/39 - (-4)\/6. Suppose u - l - 17 = -3*l, -3*u - i*l + 49 = 0. Calculate the greatest common factor of 15 and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 1, j: 1}. What is prob of sequence ji?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 + 5 - (-16 - -17)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**3 + 7*k + 4. Let f = 1765 - 1769. Let o(q) = -3*q**3 + 8*q + 5. Give f*o(x) + 5*d(x).\nAnswer: 2*x**3 + 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133290924 divided by -13.\nAnswer: -10253148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvjvvvjv. Give prob of sequence vvv.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5616026 to the nearest integer?\nAnswer: 2370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4740820996\/3009 + 1575547. What is the common denominator of v and -25\/12?\nAnswer: 12036","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10220011002001 (base 3) to base 15.\nAnswer: 2ad391","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 497*o - 946*o + 472*o.\nAnswer: 23*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 107.\nAnswer: -12\/107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15143 + 16114. List the prime factors of f.\nAnswer: 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-20)*15*(-7)\/14?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183812766.\nAnswer: 2, 3, 139, 220399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -5012?\nAnswer: 3\/5012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 3*y - 5 + 8, -z = 2*y + 2. Let a(f) = 23*f**2 - f - 3. What is the tens digit of a(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16394 and 15218316?\nAnswer: 2342","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -130 + 102 - (-52 + -5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of 1\/4*w**4 - 1\/2*w**2 + 5*w + 71 - 1\/3*w**3. Determine q(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14081810 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3*h - 36. Let u = -3 - h. Solve 3*f + 3*s + u = 0, 4*f + 0*s - 2*s = -2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Suppose -5*f = s + 30, -5*s + 6 - 36 = 5*f. Let z be ((-16)\/f + -2)\/(-4). Which is the closest to y? (a) -0.5 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -48. Let q(v) = -15*v + 1. Let j be q(k). Let x = j + -42. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 4*a**5 - 212*a**4 - 2124*a**3 + 10724*a**2 - 14248*a + 5856 = 0.\nAnswer: -12, 1, 2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 + -0.035. Let j = -154826.934917 - -154827. Let z = o - j. What is z rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 + 8)\/(6\/8) + -2. Suppose w*g - 10404 = -15*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, 3, -2\/9, -6, -12, -27, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 1. Let i(c) = 5*c**2 + 5*c + 54. Let b(s) = 3*d(s) + i(s). Is b(15) a multiple of 97?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 45137 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 81745 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 14) in base 3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = 3*u + 240. Let p = u + -137. Let o(r) = 2*r + 5. Let q be o(4). What is the greatest common divisor of q and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40*(-24)\/18*2\/120*18.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -482 or -494?\nAnswer: -494","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 36 + -36.4. Put 0.2, -4, 0.3, g in decreasing order.\nAnswer: 0.3, 0.2, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t - 6 + 18. Let q be (-33)\/9 + 2\/(-6). Let w be (6\/q)\/(3\/4). Sort w, -5, t.\nAnswer: -5, w, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(75) + 6*sqrt(75) + 5)*2 + 3*(sqrt(75) + (3 + sqrt(75))*6)**2.\nAnswer: 3850*sqrt(3) + 12007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 5*f**2 - 8*f - 11. Is k(-7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 8*u**2 + 7*u + 4. Determine b(9).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1140, 2275, 3410?\nAnswer: 4545","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m**2 - 2*m**2 + 9*m**2)*(3*m + 0*m - m) + 0*m - 3*m**3 + 0*m.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2334433041 (base 5) to base 10.\nAnswer: -5389771","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 50 = -8*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2505495 divided by -5?\nAnswer: -501099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 7:50 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23040491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/165 - 53\/165. What is the nearest to -0.2 in -2\/13, r, -0.3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1008 + 509 + 499 + 16*t.\nAnswer: 16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 10, 3*k = g + 10 - 5. Suppose -10 = 2*n - 4*n. Solve -n = -d - k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -69, -139, -209, -279, -349, -419?\n\"Answer: -70*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 37*g + 1. Give b(2).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53225.72 hours to microseconds.\nAnswer: 191612592000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11*t**3 + 461151*t**2 + 83846*t.\nAnswer: -t*(t - 41923)*(11*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vneklkevkneknklnlkv. What is prob of sequence kkn?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.03, -2\/19, 0, -1.2, 5, -17, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by 41.\nAnswer: -13\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26 + 2*i + 2*i - 28)*(-6*i + 6*i - 6*i)*(-6 + 6 - 3*i).\nAnswer: 72*i**3 - 36*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 7 + 13 = 0. Let k be d\/(-3)*9\/6. Let r(n) = n**3 - 11*n**2 + 11*n - 7. Calculate the lowest common multiple of 9 and r(k).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -7\/187524?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.01 (b) -3 (c) -959 (d) -0.4 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 14\/517 and 71478\/(-5170) + 19 - 5.\nAnswer: 2585","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 - 1233?\nAnswer: -1231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**3 + 2*l**5 + 0*l**5 + 6*l**5 - 2*l**5 - l**5 + 4*l**5 + (2*l**3 + 0*l**2 + 0*l**2)*(-2*l - 2*l**2 + 2*l).\nAnswer: 5*l**5 - l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4257.657 to 0 dps.\nAnswer: -4258","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 2*n + h + 10325007, -15487491 = 3*n - h. Let m = n - 1237504. Round m to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(12544\/(-70)))\/((-2)\/(-8))*12\/30.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyjj when four letters picked without replacement from yyyyyijjijyyii.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4164 (base 12) in base 7?\nAnswer: -26536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/5814 and 151\/3090?\nAnswer: 2994210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (11\/4)\/((7 + -15)\/(-32))\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3 - 2*v - 8986*v**2 - 27866*v**2 + 8365*v**2.\nAnswer: -28487*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 - 4*c - 3. Let m(q) = q**2 + 2*q + 2. Determine 4*j(l) + 7*m(l).\nAnswer: 3*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3 = l, -63 = 2*y - 3*l - 72 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0353672981 - -163\nAnswer: 162.9646327019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 41409?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 + -2 + (-20)\/2. Let m = -11 - o. Let k(t) be the third derivative of -t**4\/24 - 5*t**3\/6 + t**2. What is k(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-22 - -24) + ((-20)\/14 - 1). Suppose -62 = 10*o + 21*o. Sort -4, n, o in ascending order.\nAnswer: -4, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1953, -3895, -5843, -7803, -9781?\n\"Answer: -u**3 + 3*u**2 - 1944*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 plus -10598?\nAnswer: -10598.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 - 3. Suppose 0*x - a*x = -24. What is the units digit of 1 + -3 + x\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 975 by -26745.\nAnswer: -65\/1783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 4 = 36 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 23, 2, 5, -1397 in descending order.\nAnswer: 23, 5, 2, -4, -1397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -3, 2, 14.\nAnswer: -10, -3, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0166339852 rounded to five decimal places?\nAnswer: -0.01663","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 16*q - 2. Let w(u) = -u**2 - 18*u + 4. Let a(m) = -5*r(m) - 4*w(m). What is a(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 1 = -5*c + 5*k, -c = 2*k + 11 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7. Let k(t) = 11*t + 3*t - 13*t - 7. Let y(p) = 4*k(p) + 3*n(p). What are the prime factors of y(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -250 + 758. Is z a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/3 - 6\/(-9). Let o = 1 + 4. Suppose o*x = -8 - 2. What is the smallest value in z, 3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1406164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = -8*o - 4*b, 3*o + 24 = 2*b for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12 and 30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -89, 795 in decreasing order.\nAnswer: 795, 4, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25215 + -15247. What is the hundreds digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -m - 0*a - 2*a, 12 = -m + 3*a. Let n be 76\/12 - 4\/m. Suppose 0 = -2*v + 61 + n. Is v a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135268667549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(1\/4))**(2\/3)\/((t*t\/t**(2\/5)*t)\/t)**(-4\/17)*(t**(8\/3)*t**(-1\/14))**(-1\/39) assuming t is positive.\nAnswer: t**(56383\/69615)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 13 (b) -5 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 189 + 332. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -382.6 rounded to the nearest one hundred?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (5 + (-2 - 4))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -107\/198 - -4\/99. Which is the nearest to -1\/4? (a) i (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3401?\nAnswer: 19, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*j + 67*j - 40*j = -33796. Is 7 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 28. Let n(a) = 17*a - 1021. What is the remainder when g is divided by n(61)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 230735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5964*j + 6368*j + 22220 = 0 for j.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uffk when four letters picked without replacement from {u: 1, i: 1, a: 3, f: 5, k: 3, x: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 - 48*a**3 + 0*a + 0*a.\nAnswer: -49*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -136*q + 45*q + 96*q. Let w(z) = -9*z + 9*z - z**2. What is w(x(t))?\nAnswer: -25*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7939579*h**4 + h**2 + 784348*h wrt h?\nAnswer: 190549896*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + n = -15, 48 = 4*s + 4*n - 0*n. Let w = -18 + s. Let q(y) = -12*y + 11. Is q(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.15078 - -0.148. What is j rounded to four decimal places?\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 + 0. What is the common denominator of (-4)\/f - 93\/(-8) and (7 + 1617\/(-105))\/((-8)\/(-30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 z when three letters picked without replacement from zufpffufzgzzufgzzz.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, c: 1, q: 4, d: 2, p: 3}. Give prob of picking 1 d, 1 c, and 1 p.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 5*q - 23 = 0, -4*x + 7*q = 695 - 666 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-60))\/((-5)\/25))\/((-5)\/(-9)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from asaxxxaxx. What is prob of sequence xas?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 201510.5 milligrams?\nAnswer: 201510500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -3461.\nAnswer: 346.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2079 - 2121) + (-9)\/(18\/20)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 AM and 1:38 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 9*p - 1. Give j(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -111*j**3 - j**2. Let k be h(-1). Suppose k = -2*l - 254. What is l rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1311, 5, 6005 in descending order.\nAnswer: 6005, 1311, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-332)\/(-498))\/(6\/(-4)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5973823 is divided by 2159?\nAnswer: 2029","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.828 in -1, -5, -2\/21, -8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 7*w**2 + 6*w. Let t be p(6). Suppose v - 6 - 10 = t. What is the greatest common factor of v and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-4)*(-100)\/15. Let u(o) = o**2 + 9*o + 1. What is the smallest common multiple of 10 and u(j)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1349070990 to the nearest integer?\nAnswer: 36730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 3) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-2 - 201\/(-39)). What is the second biggest value in -5, n, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 89323\/4 - (-80)\/64. Round l to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 942304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oe when two letters picked without replacement from {s: 3, y: 2, o: 4, u: 3, e: 2, z: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 22. Suppose 5 + 1 = 3*t. Does 6 divide q\/t*(2 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 380*u**2 - 123*u**2 - 128*u**2 - 130*u**2 - 126 - u as o*u + k*u**2 + n and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpppppxppppppppxdxd. What is prob of sequence xxp?\nAnswer: 13\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w**3 - 2*w**2 + 6*w**3 + 3*w**4 - 4*w**3 - 5 - w**4 to x*w**2 + s*w + k*w**3 + g + v*w**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/29 and 50\/73.\nAnswer: 2117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194340838.\nAnswer: 2, 17, 479, 11933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kz when two letters picked without replacement from wzuwluwkzwwzzl.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71428 by 5102.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 5*s - 4. Let b(z) be the second derivative of -z**5\/20 - 5*z**4\/12 - 3*z**2\/2 + 41*z. Let v be b(-5). Give u(v).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 3. Let r be u(3). Suppose 7*c - c + 90 = r. Let l = -12 - c. Is 2 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5172 and -193.\nAnswer: -193.5172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -25143144 (base 6) to base 14.\nAnswer: -170064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 12, 31, 50, 69, 88, 107?\n\"Answer: 19*p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**4 + 608*d**3 + 2324*d**2 - 6488*d + 3552.\nAnswer: 4*(d - 1)**2*(d + 6)*(d + 148)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -3*c - 7, -1825*c + 9 = -1826*c - p for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 16) to base 15\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 447 + -442. Suppose 0*b - 13 = b + 2*i, -l*b - 2*i = 25. Let t(o) = o**3 + 5*o**2 + 2*o - 5. Give t(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v - 2. Let u be t(-4). Let y be 6\/18 + u\/(-6). Suppose y*j - 10 + 5 = -f, -5*f + 3*j + 38 = 0. Solve -f*w = -2*w - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 + 4*g**5 + 0*g**5 + (-2*g**3 - 2 + 2)*(-2*g + 2*g - g**2) + g + 2*g**5 - g + (14 + 10 + 15)*(-4*g**2 - 2*g**2 + 4*g**2)*(0*g**3 + 0*g**3 + g**3).\nAnswer: -72*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 26*-90923\nAnswer: -2363998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -8 - (-10 + -11 + 16)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*w - 630*w + 44132 = 0 for w.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 5*j = -13, -2*j = 4*y - 38 + 12. Suppose 3*t - y = 2. Solve 0 = -5*g + 10, 3 + 11 = 5*c + t*g for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1534 + 1533.8. Suppose -14 - 11 = 5*g. Which is the smallest value? (a) f (b) g (c) 3\/4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27960?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 102*v**3 - 1 + 228*v**3 + 191*v**3 - 31*v**3 - 80*v**3.\nAnswer: 410*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -3. Let a = 21 - 25. What is the closest to -1 in h, a, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 9) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8 + 3 + -1)*(-1 - -3). Let p = q + -18. Suppose -p*k = 5*x - 35, 4*x + 15 = 7*x. Solve b + 3 = -c, 11 + 12 = -c - k*b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34 + -9 - -33) + (-3 - -1)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2885948301?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 539\/(-154)*(6\/35)\/((-104)\/(-9360))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 2*u = 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 16) to base 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2092*i**2 - 69*i + 564*i - 495*i.\nAnswer: -2092*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 4*b = -4*c + 250, -5*c - 5*b - 11836 + 12146 = 0 for c.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3301301300 (base 4) to base 15.\nAnswer: -148665","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -80 + 161\/2. Factor l*a**3 - 1\/2*a**2 + 0 + 0*a.\nAnswer: a**2*(a - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*c**4 + 6*c**3 + 200\/7*c + 0 + 240\/7*c**2.\nAnswer: 2*c*(c + 1)*(c + 10)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = q - 2*q - 8, 4*q - 2 = 3*y. Let z = y - 0. List the prime factors of -4 + 8 - -3 - z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**2\/2 + 5*b + 1. Suppose 184*i + 233*i = 2502. Calculate t(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2222 - 969. Is d a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*l - 401 = -1215. Suppose 0*w = -5*w + 1470. Suppose -l*j = -29*j - w. Is j < -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-128)\/(-192) + (-6520)\/(-3). Suppose 4*c - 3*n = y + 2782, n - 4940 = -4*c. Is 32 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -3, 8 in descending order.\nAnswer: 8, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -779103\/20 != -38954?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 4 = 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1618 rounded to 2 decimal places?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 785 in -4, -1.2, -1\/10, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddrrrdddddrrd. Give prob of picking 2 d.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 10\/27 (b) 2 (c) -0.03 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 76437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 7103 = 14207\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2517 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -659 - -651.58. Let k = l - -4.42. Let t = -6 - -11. What is the second biggest value in 0.4, t, 3, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 20 = 5*k. Let g(l) = -12 - 4 - 9*l + k - 2. List the prime factors of g(-6).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -61, -60, -55, -46?\n\"Answer: 2*d**2 - 5*d - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 - 52*d**2 - 225*d + 66. What is c(56)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -m + 5, 2*s + 0 - 1 = m. What is the greatest common factor of 18 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1943795568 to the nearest integer?\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.995146 rounded to one decimal place?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from fddfnlg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -152453240 (base 6) to base 9.\nAnswer: -6033516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 4:34 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26125 and 1463.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/14)\/(3\/(-6)). What is the third smallest value in -3, r, -2, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u + 1. Let a(n) = -n - 2. Suppose -k = -0*k - 2. Suppose 0 = y + 5*y. Suppose y*v + v - 1 = 0. Give k*r(j) + v*a(j).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from hdhghduh?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23386463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.18 - 0.28. Let p(t) = 2*t**2 + t - 1. Let k be p(-2). Which is the closest to -1\/3? (a) k (b) y (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.17 and -55795.65.\nAnswer: -9485.2605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 34\/36 + 251\/(286893\/(-1270))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 3. Let n(j) = 2*j - 260. Let p(x) = x - 112. Let z(k) = 3*n(k) - 7*p(k). What is -7*h(d) + 5*z(d)?\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21\/2 - -65\/6. Let j = 47\/18 + -10\/9. Let p = -94\/209 + 12\/19. What is the third smallest value in r, j, p?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 11 - 2*f - f - 11. Let a(v) = 9*v**2. Calculate u(a(r)).\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 625537582 to the nearest integer?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 46 + 0 - 13\/((-78)\/12). Let x = 53 - f. What is the common denominator of 2*(178\/68 - (x + -1)) and -41\/9?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmxm when four letters picked without replacement from {x: 4, m: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -5379, -5381, -5385, -5391, -5399?\n\"Answer: -l**2 + l - 5379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 842 = -7*f + 30. Suppose q - 4*l + 196 = 0, 0*q - 5*l - 151 = q. Let h = f - q. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/4)\/(9\/36). Suppose -3*m - 4*h + 29 = 0, 5*m - 13 = h - w. What is the units digit of -13*(-2 + m)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2145 (b) 1 (c) -1\/2 (d) 2 (e) 2\/3 (f) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-35)\/40)\/7)\/(2709\/(-1008)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -7 - v + 8 - 2*v. Let x be d(-3). Is 14\/3 + x\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-3)\/(-6) - (-21)\/(-12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90627 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(-2))**(1\/7))**42)**(-39\/5) assuming a is positive.\nAnswer: a**(468\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152940, -305881, -458822, -611763, -764704, -917645?\nAnswer: -1070586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zee when three letters picked without replacement from zzzzzzeze.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*1*1*(2479\/3417)\/37?\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*z - 22*z + 268 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3449956, 3449952, 3449948, 3449944, 3449940, 3449936?\nAnswer: 3449932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6467.8 - 6468. Sort 3, q, -5, 15 in ascending order.\nAnswer: -5, q, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 5 + (1 - 1) - (8 + -10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(o + o - 4*o) + 2*o + 1 - 1 + (-2 + 2 - 2*o)*(-7 + 13 + 4).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 325422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**4 - g**3 + 4*g**2 + 4*g.\nAnswer: -g*(g - 2)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 48978288, 97956590, 146934890, 195913188, 244891484, 293869778?\n\"Answer: -q**2 + 48978305*q - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 - 48 = -5*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a day in minutes?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-81)\/(-12) - (-2)\/8. Let c be (4\/(-10))\/(w\/(-35)). What is the second derivative of 4*j + j**c + 5*j - 5*j wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 219537925 a multiple of 1441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*z - 160 = 13*z. Suppose 3*f + 3*m = 18, 4*m = 2*f - 4*f + z. Let k = 7 - 4. Solve 3*s - f = 2, -k*s = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -6)*(9016\/(-3185))\/(-46).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**3 + 5*j**2 + 18*j - 22. Let b be s(7). What are the prime factors of (3376\/(-24) - 2)\/((-4)\/b)?\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 5*k + 19, 3*y + 92*k = 88*k - 11 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3500306, 3500312, 3500322, 3500336, 3500354, 3500376, 3500402?\nAnswer: 3500432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 7*f**2 + 6*f + 2. Let y be i(-6). Let a = -0.23 + 0.03. Let c = -322 - -4184\/13. What is the third biggest value in a, c, y?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16\/3 less than or equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35446 + 35451 + a + 35448 - 106352.\nAnswer: a - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.09111 - 0.09111. Let z = 2.1 - -0.5. Let t = -0.6 + z. Which is smaller: t or m?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5 + (sqrt(2299)*-3)**2 + (-4 + sqrt(2299))*-2*-1.\nAnswer: 22*sqrt(19) + 20678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**3 + 14*v**2 - 52*v + 154. Let j be s(-9). What is the greatest common factor of j and 39038?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 16, -4841 = -5*s - i - 4745 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*p + 17*p - 6 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2255801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 10 = 5*s, 2*r + 2*s = 5*r + 53. Let t = 35 + r. What is the remainder when 59 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -12513, -49654, -111555, -198216, -309637?\n\"Answer: -12380*t**2 - t - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*m - 8224412 = -8223960 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h - 6. Calculate the remainder when (41 + h)\/((-1)\/(-1)) is divided by 1128\/60 - 114\/(-95).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6*k. Let q(s) = -81*s**2 - 7*s + 5. What is c(q(h))?\nAnswer: -486*h**2 - 42*h + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n**3 + 39*n**2 + 335*n - 8*n**2 - 8*n**2 + 52*n**2 - 8*n**3.\nAnswer: -2*n**3 + 75*n**2 + 335*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 218*h**3 - 90*h - 57*h - 9 + 11 + 0 wrt h?\nAnswer: 1308*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 90*l**2 - 104*l + 1 + 94*l**2.\nAnswer: 4*l**2 - 104*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of c**4 - 1029*c*d + 1283*d wrt c?\nAnswer: 4*c**3 - 1029*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.5 - -0.5. Let n = g + -5.076. Round n to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21765089?\nAnswer: 19, 47, 24373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 4*w + 3*w)*(-1 - 2 + 5) + 2 - 2 + w + (-2 + 1 + 3)*((3 + 2 - 3)*(-5*w + 0*w + 3*w) + 3 + w - 3).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16 minus -402.06295?\nAnswer: 402.22295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/4 - 5*2\/(-8). Let s be 5 + (-16)\/4 + h. Suppose s*v = 2*b + 146, -367 + 75 = -4*v - 4*b. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 + 31 = 6*h. Let l be (11 + -14)*h\/(-6). Solve -9 = -v - l for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.987 and -0.4.\nAnswer: 1.5948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*g + 2*g = 170, 5*n = 2*g + 212. Suppose 3*h - 42 = -3*z, 2*h + 5*z - n = -11. What is the remainder when 24 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/8)\/((-15)\/9)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.2, 3\/5, -2 in ascending order.\nAnswer: -2, -1, 0.2, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1290\/(-45))\/43)\/((-12)\/(-513)*3).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 52*k**3 + 2*k**2 + 2*k - 2. Let w(l) = -53*l**3 - 3*l**2 - 3*l + 3. What is -3*d(u) - 2*w(u)?\nAnswer: -50*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-1)\/(-8)*(0 + 1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 18*n - 53. What is s(9)?\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1075, 4463, 10135, 18109, 28403, 41035, 56023, 73385?\n\"Answer: 3*k**3 + 1124*k**2 - 5*k - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -505, -470, -377, -196, 103, 550, 1175?\nAnswer: 2008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 20 = 0, 5*l + 5*p + 3 = 43. Suppose l*c = 7 + 11. What is the least common multiple of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -n - 3, 3*n - 4*p = -6*p - 4. Let y = 6 + n. Suppose 5*x + 12 = y*i + x, 4*x = -4*i + 20. List the prime factors of i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-43)\/2*-8)\/(3896\/(-974)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/6)\/((-50)\/20)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -1836042\nAnswer: -7344168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1106994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40 divided by -35.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224244 and 81540?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(28)\/((sqrt(288)\/sqrt(6))\/sqrt(12)) + (2*sqrt(700) - (sqrt(49) - (sqrt(49) - sqrt(49)*1))\/sqrt(7))))**2.\nAnswer: 70000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0.2, -3\/2, -1\/6, -4 in increasing order.\nAnswer: -4, -3\/2, -1\/6, 0.2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -2\/7 (c) 0 (d) 0.1 (e) -0.116\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 6*s - 13. Calculate o(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39270133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.8, 0.2, -0.3, -5, 2\/53?\nAnswer: 2\/53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -3493.\nAnswer: -1047.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-1980) - (-4)\/(-22)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402563676?\nAnswer: 2, 3, 33546973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4168941 a multiple of 233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7 (b) -9 (c) 15\/22 (d) 4 (e) -0.08 (f) -0.3 (g) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/29))\/(i\/(i*(i**(-3\/4)\/i*i)\/i*i))*((i**4*i)\/i)\/(i*i\/i**(-6)*i) assuming i is positive.\nAnswer: i**(-559\/116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.0143054 and -12289.5.\nAnswer: -12289.4856946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 8*q**2 - 5*q - 6 + 5*q**3 + 4*q + 16*q**2 + 5 to i*q**2 + m*q + b + n*q**3 and give i.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 16 and -72.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6 + (-2)\/(-6). Suppose 0*q + 4 = -4*n + 4*q, -5*q = 4*n - 23. Sort n, 3, y in ascending order.\nAnswer: y, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 0, -560, -5, 2, 1.\nAnswer: -560, -5, 0, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/6970 and 25\/14?\nAnswer: 48790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -5*p + 8. Suppose 32 = n + 2*x, p*n = 6*n - 5*x - 128. What is the remainder when -2*3\/6 + n is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/3))**10\/(t**(-3\/11)*t**(-6\/7)*t) assuming t is positive.\nAnswer: t**(-3050\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add -127534902 and 0.5.\nAnswer: -127534901.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 454829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(1300) + ((-2*sqrt(156))\/sqrt(12))**2 + 0 + 2.\nAnswer: 10*sqrt(13) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4613200 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -347*u - 20129. Let b be m(-58). Suppose 6 - 18 = 3*v. Suppose 0 = -2*j + 1 - 3. Put v, b, -46, j in decreasing order.\nAnswer: j, b, v, -46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 2. Suppose 0 = -u*n + 27 + 73. What is the highest common divisor of n and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.443177 - -4.\nAnswer: 3.556823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + -7. Let i = -9\/68 + -2\/17. Let p = -4.242 + 5.042. What is the closest to i in p, -2\/7, t?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - -4 - 18) + 5 - -9?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155450.\nAnswer: 2, 5, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 - 4*v**2 - 4*v - 20. Let g be z(6). What is the first derivative of -g*x**2 - 24 - 53 - 43*x**2 wrt x?\nAnswer: -142*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*v - 34*v - 21 - 51 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)\/(d\/d**(-12)*d))**(-4)*d**(-2\/5)*d*d\/d**0*d**1\/(d*(d*d**9*d*d)\/d) assuming d is positive.\nAnswer: d**(293\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-6*(sqrt(70)\/((sqrt(70)*2)\/sqrt(7)) - ((sqrt(84) - sqrt(84)*1)*4)\/sqrt(12)))**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160*i = 81*i + 26465. What is the remainder when i is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41956, 83976, 126132, 168490, 211116, 254076?\n\"Answer: 11*v**3 + 2*v**2 + 41937*v + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -336630 + 336786.911. Let p = 157 - b. What is p rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3687 - -1.2687. Let i = -4.1 - -0.1. Let r = -12.2 - -12. Which is the second biggest value? (a) i (b) x (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 6*i + 10. Let m be k(3). Let l be (-8)\/(-7)*m\/8. Suppose 3*d + 42 = 3*q, -2*q - 3*d = -l*d - 24. Calculate the smallest common multiple of 12 and q.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*r + 20*r + 8*r)*(-r + r - 12*r**2 + (-3*r + 2*r + 0*r)*(1 - 2*r - 1) + 3*r - 3*r + r**2 - 4*r**2 + r**2 + 2*r**2).\nAnswer: -190*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 - 2)*(1 - 1 - 2*s) + 0*s + 0*s + s)*(0*s**4 + 10*s**4 + s**4).\nAnswer: 55*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 0*r**2 - 1 + 0 + 3*r**4 + 0*r**2 - 2*r**2 to the form m*r + k*r**4 + q*r**3 + x*r**2 + z and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (25*f + 1 - 3*f**2 - 25*f)*(1 + 1 + 0)*(0*f + 5*f + f)*(-5*f + 2*f - 16*f) in the form u*f**3 + o*f + q + c*f**2 + j*f**4 and give j.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(567) - (sqrt(567) + 1)*-2 - 2*sqrt(567)*1)**2.\nAnswer: -2855 - 180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3562321 or -2\/5?\nAnswer: 3562321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -150, 1, 2\/15 in increasing order.\nAnswer: -150, 2\/15, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from urgyurrruiryyrd. What is prob of sequence di?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008274039 rounded to seven dps?\nAnswer: -0.0000827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2801508120?\nAnswer: 2, 3, 5, 233, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -700?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -9) + -7 - (-8 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.3415562 - 11.\nAnswer: -16.3415562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 23*v - 48. Let h be z(20). Suppose 9*f - h = 447. What is the remainder when f is divided by 23?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of 3*v + 5\/2*v**4 - 3\/2*v**5 + 9\/2*v**3 + 1\/14*v**7 - 27\/2*v**2 - 8 - 1\/10*v**6. Let a(k) = 0. What is k?\nAnswer: -3, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -10521?\nAnswer: 42084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 339 + 0*j**2 + j**2 - 339 + 41*j as x*j**2 + l + n*j and give n.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 m when two letters picked without replacement from {x: 2, m: 4, l: 5}?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 6*f + 6. Let m be k(6). Suppose -4*g = -j - 41, -j - j = -m. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 + 436*b - 23520 = 0 for b.\nAnswer: 98, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-3 - -4) + -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d41 (base 15) in base 10?\nAnswer: 29986","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.06, -0.1, 30, 4\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.04 * 26114.\nAnswer: -1044.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**2*h**3 + 2*b**2*h + 1763*b**2 + 52*b*h**3 + b*h**2 wrt h?\nAnswer: -6*b**2*h + 312*b*h + 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50428454 is divided by 13355?\nAnswer: 13329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1\/5, 0.1829, -1, -35, 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -18101 and -0.185.\nAnswer: 3348.685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(21)\/sqrt(3))**2 + 4 + -2 + sqrt(7) - (sqrt(2744) - 1*sqrt(2744))\/sqrt(8).\nAnswer: sqrt(7) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -118 (base 13) to base 4\nAnswer: -2332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 6*v**2 + 10*v - 59. Let g(k) = 7*k**2 + 10*k - 60. Let j = -688 + 683. Let l(f) = j*q(f) + 6*g(f). Differentiate l(n) wrt n.\nAnswer: 24*n + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 93 + -240. Let p = a - -146.19. What is p rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1017 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 181585002 by -60528334.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**5\/9 - 2*g**4\/9 - 14*g**3\/9 + 2*g**2\/9 + 4*g\/3 = 0. Calculate g.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -1. Let t be (g\/(-15))\/(4\/(-20)). What is the units digit of 2*15*t\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 453151*a**2 + 2355693*a.\nAnswer: 906302","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qb when two letters picked without replacement from {b: 1, q: 3}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1185, 1188, 1193, 1200, 1209, 1220?\n\"Answer: i**2 + 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/13 (b) -564 (c) -1 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 564.4 - 559.4. Let k = -5 + 12. Which is the second biggest value? (a) z (b) -2\/13 (c) 4 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2 + 235380*f + 13850936100 = 0. What is f?\nAnswer: -117690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*c - 52*c = -1768 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.157 - 2.843. Let s = -0.2 + 0.4. What is the third biggest value in 3, s, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, g: 16}. Give prob of sequence gee.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18*28\/2520)\/((-4)\/(-10)*-37)*-2?\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 314?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1217*s**3 + 1146*s**3 - 2374*s**3.\nAnswer: -11*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -28. Let g(j) be the second derivative of -j**3\/6 + 5*j**2\/2 + 26*j - 2. What is g(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-67193)\/2)\/(-7)*(70\/7)\/5.\nAnswer: 29, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94291 is divided by 275.\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.557? (a) 17.9 (b) 1\/3 (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -27*z**3 + 20. Let u(c) = 1 + 7*c - 13*c + c**3 + 6*c. Let d(t) = -2*a(t) - 22*u(t). Differentiate d(k) with respect to k.\nAnswer: 96*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/8 - 6\/8. Suppose 9 = 5*h - 2*u + 4*u, b = -3*h + 3*u - 3. Does 3 divide (h - 1) + -1 - -6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-20))\/((-4)\/(-24)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.0056 + -0.0056. Let m = -281 - -281.36. What is the third biggest value in s, 3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(3780\/(-8838)) - (-4)\/(-56)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -325.4307402 to the nearest integer.\nAnswer: -325","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**9\/189 + 77*j**5\/60 + 176*j**3\/3 + 3. Let h(f) be the third derivative of c(f). Find the second derivative of h(w) wrt w.\nAnswer: -320*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + q**2 + 67. Let f be m(0). Suppose f*u = 72*u - 1350. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-10))\/(47\/(-235))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11028*j + 10996*j + 1216. Solve -218 - 48 = -j*v for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48422723963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 3*p**4\/2 - 2175*p**3\/2 + 100047*p**2 - 1490316*p + 2589120 = 0.\nAnswer: 2, 16, 87, 620","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18c62 + 1a2?\nAnswer: -18a90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**5 + 404*g**4 - 11832*g**3 + 81688*g**2 - 129476*g + 59220 = 0 for g.\nAnswer: 1, 7, 45, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 17570243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 68*g + 4*g**2 - 67*g - 3*g**2. Let d(k) = -k**3 - 4*k**2 - 3*k. Suppose 3*m = -m + 80. Let s = -16 + m. Give s*b(j) + d(j).\nAnswer: -j**3 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 - (-4)\/(0 - -1). Let f(q) = 4*q + 0*q**3 + 0*q - 7*q**t. Let h(n) be the second derivative of n**5\/20 - n**3\/6 - 9168*n + 3. What is f(z) + 2*h(z)?\nAnswer: -5*z**3 + 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*a**4*v**3 - 3354257*a**3*v**3 - a**2*v**2 + 33979505*v**3 wrt a?\nAnswer: -96*a*v**3 - 20125542*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19683 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1223991, 2448043, 3672095?\n\"Answer: 1224052*o - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 37 = 4*s - 3*u, 0 = 5*u + 20. Suppose 3*h + 3*v = -2*h + s, 18 = h + 4*v. Let a be h*1 - (2 - 4). Solve -4*r = -3*m - 3, -3*m - m - 20 = a for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 28*m - 68. Let q be r(5). What is q rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7393 - -74?\nAnswer: -7319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 2*h + 14. Let q be a(-4). Suppose -q*b - 76 = -346. Calculate the least common multiple of b and 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -598532061 divided by -6\nAnswer: 199510687\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/((-27)\/34))\/((-72)\/108)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2. Let u(h) = -2*h**2 + 5. Let p = -2 - 3. Let k be ((-2)\/2 - -2)*-4. Let a(v) = v**2 - 4. Let r(d) = k*u(d) + p*a(d). Give r(c(w)).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 1227*s + 772. Let n(t) = 2456*t + 1540. Let x(w) = -5*l(w) + 2*n(w). Differentiate x(g) wrt g.\nAnswer: -1223","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 0.4, 3, 37013, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 - 11 + 21)*(189*c**3 - c - 12*c**4 - 189*c**3).\nAnswer: -300*c**4 - 25*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 13. Solve 2*u - 4*p = -6, -2*u + 3*p - j = -2*p for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -5*c - 3*s, 0*c - s + 2 = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 7:58 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-1)*(-96)\/((-384)\/(-12))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 30069 and 1521.\nAnswer: 390897","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/245, 9, -2.2, -0.4, 0.05, 3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, 1, -4, -15446 in descending order.\nAnswer: 1, -1, -4, -5, -15446","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -2, -10, 1\/2 in ascending order.\nAnswer: -10, -2, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**2 + 8*i - 8. Let y be n(7). Suppose 0 = 2*g - 4*r - 20, -35*r + 40*r = -3*g - 14. Is (-683)\/g*(y + -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 13) to base 7\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-9)\/6)\/(9\/(-12))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 96\/2 + (0 - -1). Let f(j) = j**3 - 16*j**2 + 28*j. Let k be f(14). Suppose 0 = 3*h + 5*c - 106, k*h - 2*h + c + t = 0. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1845*o - 38*o**2 - 1847*o - 20*o**2)*(2*o + 0 + 0) to p + y*o**3 + h*o + g*o**2 and give y.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*-1)\/((-6)\/(-108)). Let h = 10 + 37. Let g = h + y. Calculate the remainder when g is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 115010 - 1?\nAnswer: 115008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(2430)*-1 + (-2*sqrt(2430) - sqrt(2430))*-3)\/((sqrt(6) - (sqrt(30)\/sqrt(5) - sqrt(6))*-4)*4*-6))**2.\nAnswer: 1125\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -8*h + 308. Let k = 65 - h. What is the smallest common multiple of k and 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -78, -255, -546, -951, -1470, -2103, -2850?\n\"Answer: -57*n**2 - 6*n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 338 - 1009\/3. Suppose k*s**4 - 2\/3*s + 0 + s**5 - 5\/3*s**2 - 1\/3*s**3 = 0. Calculate s.\nAnswer: -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14224016 (base 7) in base 3?\nAnswer: 2111202211012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -144347 + 143202.97. What is q rounded to the nearest ten?\nAnswer: -1140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 3 + 3)*(-w + 5*w - 3*w)*(-1 - 4 - 3).\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**7\/945 - s**6\/135 - s**5\/54 - s**4\/54 + 388*s**2. Determine y so that n(y) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 AM and 11:44 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -19 - 1) + (9767 - 9741)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11875*q + 423923 - 1837048 = 0 for q.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 6\/5 of a millisecond?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 - 10. Solve -4*o = -3*v, 0 = 5*o - 2 + h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -339, 4 in ascending order.\nAnswer: -339, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 3*w**3 + (4*w - w + 5*w)*(3*w**2 - 2*w**2 + 0*w**2) in the form j + b*w + d*w**3 + z*w**2 and give d.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -602 + 4830 = 14*a. Let v = a + -291. Solve 2 = 3*g + v for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.97 - -0.07. Is f less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 2. Let c be u(2). Suppose 2*q - 62 + 80 = 0. Let t(y) = -y**2 - 9*y + 4. Let l be t(q). Solve -c*j + 6 = -l for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 5 + 4 + 1 - 67*r.\nAnswer: -67*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a day in minutes?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-30)*((-3450)\/12)\/23\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -17*f - 2. Let s be u(-1). Suppose -28*b - s = -31*b. Suppose -b*g = -7 - 8. Solve -4*o = -o - g for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 22 + 28 = 0. What is the second derivative of -8*s**5 + m*s**5 + 4*s**5 - 5*s wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i + 1. Let o(x) = 10*x + 22 - 19 + 5*x. Let m(p) = o(p) - w(p). Is 14 a factor of m(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860859051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*-25*(-13)\/((-585)\/(-6))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 111917 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8278 - -8262. Let o = -432\/7 + 62. What is the fourth biggest value in 0, k, o, -2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**3 + 13*r**2 + 10*r - 4. Determine a(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-5) - (2 + 26\/(-10))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i + 13 = 0. Let p = i + 15. Suppose -2*d - p*d = 0. Sort d, -1, 4 in decreasing order.\nAnswer: 4, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 151, 260, 379?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*y**2 - y**3 - 2*y + 7 - 3*y**2 - 8*y**2 + 2*y**2 to c + j*y**3 + q*y**2 + o*y and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1178.\nAnswer: 2, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -5, -1, 0, -117032 in descending order.\nAnswer: 2, 0, -1, -4, -5, -117032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-188)\/460 + (-5644)\/340 + 17)\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = y + 5*s, -5*y - 118 = -8*y - 2*s. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-21)\/(-56) + 1\/8)*1874?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 59.0886 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hx when two letters picked without replacement from {h: 1, z: 1, p: 1, x: 1, m: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 106 - (1\/3 - 1\/3). Suppose p = -7*o - 69. Put o, 1, -1 in descending order.\nAnswer: 1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-4\/3)*a*a**(1\/3))**(-41))**34 assuming a is positive.\nAnswer: a**(-1394)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 754302*r - 754303*r + 156, -262 = -r + 5*u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 14) to base 16.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3\/5 + 44*h**2\/5 + 91*h\/5 + 46\/5 = 0.\nAnswer: -1, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2675 - -2678. Factor 1\/5*q + 0*q**2 + 0 - 1\/5*q**p.\nAnswer: -q*(q - 1)*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 - 22\/(-6)*6. What is the closest to 10 in 0, x, -2, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-4\/5)*w)*w)**1*w**(-1\/19)\/w**(-27))**(-2\/129) assuming w is positive.\nAnswer: w**(-5462\/12255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -3. Suppose -q = 2*a - 9. What is the second derivative of -5*s + 5*s - 3*s**a + s wrt s?\nAnswer: -36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -288583 to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 520240 is divided by 4451?\nAnswer: 3924","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + 17 - 20) + -5 + 0 + -9?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 237\/5? (a) -4 (b) -5 (c) 718\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 8:50 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -x - 1 + 4, -2*x + 2*b = 2. Solve v - x = 3*a, a - 2*v = 3*v - 19 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*m**5 + 4*m**5 - m**5 + (3 - 3 + 4*m**2)*(-m**3 + 2*m - 2*m) + m - m + m**5.\nAnswer: 9*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110771*h - 110779*h + 221547*h + 1160 - 1160.\nAnswer: -3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 85 and (-272 - (-289)\/17)\/(-3).\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) 2\/11 (b) 0.3 (c) 115\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77*1*-1*415\/(-2905).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12483 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of -y**3 - 7*y**2\/2 - 4*y + 265. Give k(-4).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-114 - -1) + -20 + (6 - (4 + -29)) + -12?\nAnswer: -114","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(22)\/sqrt(2)*1).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (-33 + 65 + -7)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 5*l + 4. Let j(v) = v**3 - 9*v - 7. Suppose -6*p = -p + 15. Let r = p + 6. Calculate r*j(m) + 5*h(m).\nAnswer: -2*m**3 - 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 515705*w - 2415. Let l be q(63). What is l rounded to the nearest 1000000?\nAnswer: 32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**2 + 5*l + 6. Let i be c(-3). Suppose -5*r - 3*q - 2*q - 10 = i, 0 = -3*q + 6. Let t(g) = g + 3. Let a be t(-3). Sort a, 4, r in decreasing order.\nAnswer: 4, a, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by -55\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12101 + 24099 - 11995 - 83*a.\nAnswer: -83*a + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 7:17 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001516 to six decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 327529680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27*g**3 - 27*g**3 - 68*g**3)*(-2 + 2 - 33 + (-4 - 3 + 5)*(4 - 4 - 1) + (0 - 1 + 2)*(-3 - 5 + 5)).\nAnswer: 2312*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.3? (a) 1 (b) 13\/6 (c) 1\/45 (d) 5 (e) 2 (f) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110022333203 (base 4) to base 11.\nAnswer: -2a91979","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132 = 93*i + 690 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1575*x**5 - 24*x - 21?\nAnswer: 31500*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (8 + 10 + 16)*(-g**2 + 5*g**3 + g**2) + 0*g**3 + 3*g**3 - 4*g**3 in the form u*g**3 + b*g**2 + v + t*g and give u.\nAnswer: 169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, w: 4, m: 12}. What is prob of picking 3 w?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w + 0*w - 3*w. Let f(i) = -i**3 - 4*i**2 - i - 2. Let m be f(-4). Let h be s(m). Which is the third biggest value? (a) -0.5 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.56 + -4.46. Let r = -19993157 - -19993156.1000131. Let s = d - r. What is s rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12201120111002 (base 3) in base 13?\nAnswer: 826aa2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**3 - 317*g**2 - 1595*g - 5. Determine w(-5).\nAnswer: -330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**2 + 653. Let r(f) = 152*f**2. Determine r(s(q)).\nAnswer: 608*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 14236 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1451913 (base 10) in base 9?\nAnswer: -2652576","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 17 = 3*j - 103, -j - 16 = -b. Solve 0 = 3*x + 3*f - 0*f + b, -3*f = -5*x - 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 15 = -4*s - 4*j, j = 5*s - 35. Let v(q) = q + 5. Let p be v(0). Which is greater: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/5, 342, 4\/17, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 890.771 less than -0.74?\nAnswer: -891.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/3)*f)**(-19)*f\/(f**(3\/7)*f)*f*f*f\/f**(-1\/4) assuming f is positive.\nAnswer: f**(-295\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1667*g - 44223000 = -1637*g. What is g rounded to the nearest 10000?\nAnswer: -1470000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 + 60. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-4*sqrt(468)*-2*1 - ((sqrt(468) + -1)*5 + (sqrt(468) - (-2*sqrt(468) + 4))))*-5)**2.\nAnswer: 1936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 4 and 139 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.472767675 rounded to 2 dps?\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -9*c + 6 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, t: 1, w: 2, o: 1, p: 1, j: 1}. Give prob of picking 1 p, 1 w, and 1 o.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 108015 - 1307?\nAnswer: 106708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-7))\/((-162)\/756).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*w - 10*w + 8*w)*(-3 + 1 - 1) + (2 - 3 - 1)*(27*w + w + 26*w).\nAnswer: -78*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 131636069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4608 (base 13) in base 8?\nAnswer: 23122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((-7 - 11) + 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19709 - 2.\nAnswer: -19711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/10)\/(4\/(-20)). Let d(t) = -3*t - 1. Let o be d(c). What is the units digit of ((-3)\/(-3) - 1) + o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 994 + 1136. List the prime factors of f.\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 55. Suppose 135 = 189*t - 180*t. Suppose t = 4*l - c. Calculate the remainder when 61 is divided by l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.6 + -0.63. Let p = 194.958 - 195. Let s = p + 0.042. Sort s, -0.2, t in increasing order.\nAnswer: -0.2, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -81*a**3*k**3 - 90*a**3*k + 4*k**2 wrt k?\nAnswer: -486*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 860 and 972?\nAnswer: 208980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2924 (b) -0.5 (c) -5 (d) -16 (e) -4 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 11:44 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - i**4 - 1871*i + 1863*i - 6*i**2 + 5*i**2 + (-156*i**3 + 240*i**3 - 120*i**3)*(5*i + 0*i - 3*i).\nAnswer: -73*i**4 - i**2 - 8*i + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**5 - 2840*m**4 - 370195*m**3 - 1444060*m**2 - 1076700*m = 0. What is m?\nAnswer: -370, -194, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**2 - 6*d + 1. Let w be s(6). Solve 0 = g - 1 - w for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w**2. Let m be g(1). Does 7 divide ((-42)\/(-9))\/((-2)\/m)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2*(3 - 57\/18). Let i = -0.09 + -3.91. Let w = -0.7 - 0.3. What is the nearest to x in i, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 - 15*a**2 - 3*a + 7. Let c(o) = -o**3 - 17*o**2 - 4*o + 8. Let j(g) = 2*c(g) - 3*v(g). Determine j(-11).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 + 17 = -n. Let b = -13 - -19. What is the lowest common multiple of (2\/n)\/((-3)\/36) and b?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -413174*t**3*y + 2*t**3 - 1387*t**2 - 6*t wrt y?\nAnswer: -413174*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/4)\/(9\/(-18)). Let p be 2*((-10)\/4 + -1). Let d = -12 - p. What is the closest to -2\/7 in y, -3, d?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274297776 at least as big as 274297777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/257 or -1?\nAnswer: 4\/257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -270, -536, -794, -1044, -1286, -1520, -1746?\n\"Answer: 4*g**2 - 278*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -578, -2440, -5548, -9902, -15502, -22348, -30440?\nAnswer: -39778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76040.8228 + 76018.82280156. Let u = -73 - -51. Let r = u - f. Round r to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q**3 - 4*q + 1. Give z(-3).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 693*l - 210 + 439 - 228 as o*l + h and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001001000111011000000 (base 2) to base 15.\nAnswer: 324d2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 234 - 130. Let g = c - 161. Let d = 57.0132 + g. What is d rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*z - 30 = 0, -z = o + 3*z. Let u = -12 + 34. Calculate the least common multiple of u and o.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011010000 (base 2) in base 9?\nAnswer: 1618","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s - 2*s**3 - 6*s**2 - 8 + 51*s**3 - 5*s. Let n be x(-4). Let z = -35404\/11 - n. Find the common denominator of 31\/7 and z.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -25. Suppose 0 = -4*s - 0. Put 3, u, 4, s in descending order.\nAnswer: 4, 3, s, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2371*j**3 + 1191*j**3 + 82 + 1181*j**3 + 9.\nAnswer: j**3 + 91","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 13, t: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -65\/90888 and 103\/6492?\nAnswer: 90888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 354 = s, -6*d + 10*d = 4*s - 1408. Suppose 3*g - 3*t = 2385, s = 2*g + t - 1249. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5842659897.\nAnswer: 3, 216394811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -7188*h + 64696. What is s(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -138020 by 336.\nAnswer: -34505\/84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 0 + 131. Let d = 216 + p. What are the prime factors of 102\/d*(179 + 1)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 32172092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (111 - 55 + 527*g - 57)*(g + 2 - 2) in the form p + r*g**2 + v*g and give r.\nAnswer: 527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.041 in -5, 14, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1275*k**2 + 1546*k - 764*k - 784*k.\nAnswer: -1275*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -1845*j - 979. What is the units digit of m(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13130467417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/7)\/((-7)\/49). Let i be k + 3\/((-6)\/4). Let d(t) = -55999*t - 10. Let r be d(i). What is r rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -16 + (-10 - (-11 - -3 - -1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14460399463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11\/13 - -20\/39. Let u = 1 - 0.9. Let n = -4.2 + 3.9. Which is the closest to u? (a) 2 (b) n (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 8791776\nAnswer: -8791761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.3, -5, 2, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2581112 - -4?\nAnswer: 2581116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6, 0.0128, 2, -3, 73?\nAnswer: 0.0128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 5*n**2 + 10*n. Let l be z(5). Suppose 4*t + 22 = -2*g, -4*g = -0*t + 2*t + l. Is g greater than or equal to -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12174217087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*x**4\/7 + 186*x**3\/7 - 678*x**2\/7 + 614*x\/7 - 114\/7 = 0. What is x?\nAnswer: 1\/4, 1, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 86 or 436\/5?\nAnswer: 86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, q: 1, g: 1, f: 2, n: 1, z: 1}. Give prob of picking 1 g and 1 q.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/40 and -13\/644972.\nAnswer: 6449720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1984)\/(-6944)*7\/(-13)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 220546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -11. Is 10 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -121*d + 124*d, 0 = -2*g + 3*d + 21 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 25 - (-11 + (-1169)\/77). Let a be 5\/(-4)*(-4)\/(-1). Suppose -4*q = -4*m, m + q + 1 = 7. What is the fourth biggest value in -2, m, a, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 40 = -4*t, -4 = -3*x + t + 24. Let d be -1*4\/x*0. Suppose 1 = -u - d. Is u at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8919 and 10131984?\nAnswer: 10131984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3154*s**2 + 1558*s**2 + 1568*s**2.\nAnswer: -28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 4*-2638.018\nAnswer: -10552.072","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 4*p + 63 = 0, 2*r - 2*p - 1964 = -1910 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 8) to base 13\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -149618, -149619, -149620, -149621, -149622?\n\"Answer: -m - 149617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 - 28*j**2 - 8*j + 117. Let l be v(14). Solve l*a - 12 = 2*a, f + a = 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14463?\nAnswer: 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1200))*3.\nAnswer: -12 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 215 = -172. Let r = c + -66. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c**3 - c**2 + 5*c. Let d(n) = -3*n**3 + n**2 - 4*n. Give 5*d(g) + 4*f(g).\nAnswer: g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 804*f**3\/11 - 1726*f**2\/11 + 1040*f\/11 - 118\/11 = 0. Calculate f.\nAnswer: 59\/402, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -10 (b) -5 (c) 3\/5 (d) -25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1.6*3384.4\nAnswer: 5415.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 5*o + 26. Let b be x(-9). Let q = b - -21. Find the second derivative of 38*v - 4*v**2 - v**q - 23*v wrt v.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10*3\/(-6))\/(7 + -6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2684 and 93940.\nAnswer: 93940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d**2 + 86*d - 48. Determine q(7).\nAnswer: 652","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3861.941 hours in nanoseconds?\nAnswer: 13902987600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5012 + -5017. Which is the nearest to -2\/5? (a) 2 (b) -14 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n\/n**(6\/11)*n*n**5 assuming n is positive.\nAnswer: n**(71\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 771.6260855 rounded to 1 dp?\nAnswer: 771.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 80*f + 30. Let x(m) = 7*m + 2. Calculate -v(g) + 5*x(g).\nAnswer: -45*g - 20","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 16 = -d - 5*p, d + p = 8. Does 11 divide (d\/2 - 2) + 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 2:01 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11100 (base 2) to base 13.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57 - 20. Let i(h) = -186*h - 120. Let u be i(-9). Suppose -5*m - 37*m + u = 0. Is y >= m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 94*c**2 - 24*c**2 + 1 - 1.\nAnswer: 70*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1182345.\nAnswer: 3, 5, 78823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 + 7*c**2 - 10*c + 1. Let x be w(-8). Suppose -x - 11 = -7*i. Solve 0 = -2*z - i for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8355, 8337, 8319, 8301, 8283, 8265?\n\"Answer: -18*g + 8373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 418 is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 divided by 5?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1421\/17608 + -27\/248. What is the third smallest value in -1\/4, -14, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 48*p - 10. Let s = 27 + -33. Let d(l) = -16*l + 3. Let t(q) = s*j(q) - 20*d(q). Let u(m) = -2*m**2. Determine u(t(c)).\nAnswer: -2048*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 73*d**2 + 33*d**2 - 80091*d + 80082*d to the form c*d + k*d**2 + t and give k.\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -2\/5, 3\/5, 2\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9945227 decades to months.\nAnswer: 119.342724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*z + 26*z**2 - 3*z - 11*z**2 in the form g*z**2 + k*z + q and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(3\/4)*u*u**(-2)*u)\/(u**(-4\/9)\/((u*u**(-7)*u)\/u*u)) assuming u is positive.\nAnswer: u**(-155\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in -44, 4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.042, 1, 1.7, -2\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10030*n**5 + n**3 - 58773*n - 1.\nAnswer: -200600*n**3 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95\/6 - 49\/6. Which is bigger: p or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 9:25 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -34229 from -1010309.\nAnswer: -976080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286269 is divided by 1207?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2931296 and 341075.\nAnswer: 512976800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k + 10. Calculate m(-12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 - 1)*(-4*g - 2*g + 5*g)*(-5*g - g + 2*g).\nAnswer: -8*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6354, -12434, -18514, -24594?\nAnswer: -30674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32 or 1?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4717 + -4713.639. What is n rounded to 1 dp?\nAnswer: 3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 456049985?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -3*c - 107, -3*a + c = 3*c - 288. Let o = -78 + a. Solve 9*t - o = 4*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 6:30 PM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-1744)\/2180)\/(20\/2)\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 + 150. Find the third derivative of x + j*x**2 - 10*x**3 - x - 33*x**2 wrt x.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a8 (base 15) to base 11.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9543383 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 5*f**6\/24 + 5*f**5\/4 + 5*f**4\/2 + 5*f**3\/3 - 27. Factor n(q).\nAnswer: 5*q**2*(q + 1)*(q + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 10. Let c be -2*12\/((-6)\/2). Let u = c + y. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-15) - 355437\/(-135). Let r = 5004 - z. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 + 7*w**2 - 3*w - 5. Calculate the least common multiple of q(6) and 9.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 806.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vusi when four letters picked without replacement from iuvuufuseuvuuuivuuu?\nAnswer: 11\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8100 is divided by 208?\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6863830 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -41, -42, -29, 4?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 12 = -4*x, 11*x - 6*x = -4*p + 36. Solve u - 2*a = -u + 2, p*a = -5*u - 40 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7456043 (base 10) to base 13.\nAnswer: -171097a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.331 to one dp.\nAnswer: 12.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -17878*r + 17910*r - 64 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10220 (base 4) in base 16?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (s - s - 4*s)*(177 - 70 + 100 + 70) as p + c*s and give c.\nAnswer: -1108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 522 and -0.00348?\nAnswer: -1.81656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10.4 - -10. Let h = 0.96 - 22.96. Let v = h - -20. Which is the nearest to 0.1? (a) v (b) -1\/11 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vdsdqeps. What is prob of sequence vqe?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52618759?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -31, -60, -79, -76, -39, 44?\nAnswer: 185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + v = 4*v - 14, -5*v = -25 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.26*0.052.\nAnswer: -0.01352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1\/4*184\/(-22) + 2\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.032 + 884.65?\nAnswer: 884.618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.47 and 0.4?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/4 and (2 - 1)\/(12\/170).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by (8313\/255 + -11)\/(0 - (-2)\/5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 114 and 304644.\nAnswer: 5788236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/8 (b) -1.2 (c) -2475 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 + -19)\/(-20) - (-10)\/(-85).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 4*h**2 - 226*h + 1142. Determine u(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Sort 122, -2, -207, 4, -8 in descending order.\nAnswer: 122, 4, -2, -8, -207","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Let a be 1*-8*v\/(-4). Suppose 3*q + h - 23 = 0, -h = -q - a*h + 21. What is the least common multiple of q and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31\/5 not equal to -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-27))\/(34*2\/(-6))*1059\/(-706).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/((-10)\/(-25))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 5*p - 20 + 6, -3*t = 2*p - 17. Suppose 4*d + q - 17 = 0, 3*q - 3 = p*d - 0. Suppose 2*i + 32 = v, i = -d*v - 27 + 102. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 14*f**2 - 16*f - 15. Calculate w(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3141 by -9.\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (1 + 1) - (8 + -5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jf when two letters picked without replacement from fxfyysffjffsjfyyx?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -2480 and -2480 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 111621*h**2. Let d(r) = -1188*r. Determine f(d(z)).\nAnswer: 157535628624*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -5*v**3\/6 - 116*v**2\/3 - 317*v\/6 - 15 = 0.\nAnswer: -45, -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-3*2\/96). Let q be (k - 14)*(0 + 2). Suppose 3*o + 5*g + 14 = -6, 16 = -5*o - q*g. Is o less than or equal to 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4308 and 1.9?\nAnswer: 4309.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 4 + 1)*(70 + 49 - 159)*(0 + 2 - h**2 - 1) to z*h + u*h**2 + a and give u.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 9*f - 9, 0*f + 20 - 6 = 5*k + f + 13 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1822821 = -11*r + 4*n + 1823073, 4*r + n - 99 = 0 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005315 rounded to four decimal places?\nAnswer: -0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*q - 4*h + 99 - 18 = -h, -2*q = -7*q - 3*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -71, -173, -331, -545?\n\"Answer: -28*q**2 - 18*q - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f**(-5\/4)))**(3\/4) assuming f is positive.\nAnswer: f**(15\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 k when two letters picked without replacement from uukbxxxxkxuybxubx?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum 586 and -3875.49885.\nAnswer: -3289.49885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-9)*-4 - 588\/63.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -14*d + 382. Let l be u(27). Let b(a) be the second derivative of 0 + 0*a**2 + 3\/160*a**5 + 4*a + 0*a**3 - 1\/48*a**l - 1\/240*a**6. Factor b(p).\nAnswer: -p**2*(p - 2)*(p - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00852064 rounded to 4 decimal places?\nAnswer: 0.0085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15030 by -1503.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 351986 by 175993.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 2 y when four letters picked without replacement from {d: 2, k: 4, y: 2, n: 5}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -721 in 0.3, -0.4, 0.05?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1704494\/33 + (2 - (-4)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -69, -1.2, -1, 150, -184, 0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 469*a + 469*a - 11*a**2 - 10*a**2 + a**2.\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Let w be d\/3 + (-26)\/(-6). Let y be 0\/(-2 + w - 1). Solve y = -2*j + j + 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d. Let u(b) = -304 + 304 - 24*b. Calculate m(u(f)).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 21*l**2 - 32*l - 46. Is 34 a factor of d(19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 4\/(-2))*(-354)\/24. What is the first derivative of -37*k + y - 53 - 33 wrt k?\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**3 + 2*f**2 - 10*f + 15. Let i be o(-13). Let t = 7158 - i. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*o - 165*o + 742 = 0 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 2*y**2 - 4*y - 1. Let z be f(3). Let v(k) = 2*k**2 - k - 5. Let o(h) = 1. Calculate z*o(b) - v(b).\nAnswer: -2*b**2 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49\/12 - 7\/12. Which is the third biggest value? (a) f (b) 2\/13 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-47285)\/245882)\/((-2)\/6 + (-14)\/(-24))?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 107 = i - 2*g, 0 = -3*i - 3*g + 5*g + 333. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*x**2 - 79*x**5 - 36*x**2 + 5 + 29*x**2 - 604*x**5 wrt x.\nAnswer: -40980*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iwwucuccicwuub. Give prob of picking 1 u, 2 w, and 1 i.\nAnswer: 24\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(-12))\/((-1)\/(-4))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 77904649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251, 1001, 2253, 4007, 6263, 9021?\nAnswer: 12281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 81 - 81. Suppose 5*o - 13 + 3 = i. What is the derivative of -44 + 128 - 35*r**o - 59 wrt r?\nAnswer: -70*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nhn when three letters picked without replacement from {z: 4, h: 3, n: 10, d: 2}?\nAnswer: 15\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -15*a - 14*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a century in months?\nAnswer: 5100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25195 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6761 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/110960 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 9:01 PM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2 + 1733*r - 13800.\nAnswer: -(r - 1725)*(r - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 - 5*c**2 - 3*c + 2. Let s be y(-4). What is the tens digit of ((-21)\/s)\/((-60)\/(-400))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(((-8 + 5)\/(-3))\/(-463)). Let t = -911 - k. Is 47 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 87 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sppw. What is prob of sequence pp?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 504 and 420.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = 2*b - 2*d - 53, -6133*b - 120 = -6134*b - 11*d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 4*r - 32 = -9*r, 5*r = 5*i + 5. Let a(w) = -w + 3. Suppose -2*h - x + 7 = 0, 3 - 1 = 2*h - 4*x. Let j be a(h). Solve j = i*n + n - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 316 = 184. Let c be b + ((-16)\/4)\/(-1). Let t = c + -51. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 57388556.\nAnswer: -1\/14347139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 3)*(525*d - 15887 + 15887).\nAnswer: -1050*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 + 3*y + 7. Let l be s(0). Suppose l*v = -3 + 171. Let w = 28 + -16. What is the greatest common divisor of v and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (45\/1530*(2 - -1))\/(732\/(-1952))\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 334?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y - 5*j = -6, 545*j = 4*y + 548*j - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3465784mm to meters.\nAnswer: 0.0003465784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.24 - 27.1. Let p = x - -3. Let u = -0.078 + p. What is u rounded to two dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*z - 5280 = -0*z. Let f be (4\/(-3))\/((-2)\/45). What is the highest common factor of z and f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**(-4\/7)*o*o*o*o)\/(o*o\/(o\/(o*o**(-4)\/o)))*(o**(2\/7))**(-21) assuming o is positive.\nAnswer: o**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**2 - 4*c - 1. Let j be p(-5). Let k be 6\/15 + 24\/(-10). Let y be (-4)\/k - j\/(-3). Solve 4*l - 1 + 13 = y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -4*o + 5. Let j = -254 + 252. Let z(f) = f**3 + f. Let y(h) = 2*h**3 + 2*h. Calculate j*y(x) + o*z(x).\nAnswer: x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**2 + 7*f - 3. Suppose -3*g + 2 = 8. Let b(h) = 2*h**2 - 1. Let n be b(g). Let x(u) = -2*u**2 + 5*u - 2. Determine n*x(v) - 5*q(v).\nAnswer: v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -9*h - 22. Give v(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -157*t + 526. What are the prime factors of j(-20)?\nAnswer: 2, 3, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 21 and 60.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428 + 423 = -5*t + 4*h, -3*t - 7*h = -3 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h - 3. Let d be k(0). Let j be 204074\/(-120) + 1\/d. Let f = 1704 + j. Find the common denominator of -11\/2 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*g**2 - 633*g**2 + 225*g**2 + 206*g**2.\nAnswer: 25*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 7855 - 2344 = 0. What are the prime factors of d?\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 824 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from opppppppopppopp.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 337076 and 15640.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - c = -90998, 0 = 5*u + 3*c + 71996 - 526990. Round u to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*a - 6*n - 65, -4*a + 100 = -4*n. Let x be (-19 + a)\/(2\/6). Solve -x*f = -2*f + 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 427?\nAnswer: 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 35. Let i be (((-520)\/12)\/13)\/((-4)\/6). Solve -3*x - i*o - 21 = x, 5*o + u = -3*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 + 7*v + 3. Let k be a(-7). Let u be (4 - k)\/((-3)\/(-3)). Let p(h) = 4*h**3 + h - 1. What is the smallest common multiple of 2 and p(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 1 (b) 4 (c) -3 (d) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2308 * 39.\nAnswer: 90012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 131709272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11639061 by -1662723.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + -3. Suppose 30 = 5*l + 4*n, -3*n = n - 20. Let c = -0.5 - -0.3. What is the closest to c in 1, q, l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 307015305?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -40, -5, -14337, -3, -2\/45?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2646455 + 2?\nAnswer: 2646457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 139b12 (base 12) to base 6\nAnswer: 11011222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -104 + 103. Which is bigger: v or 1\/128?\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 4*n - 64 + 314, -4*p = 3*n - 525. Calculate the lowest common multiple of 45 and p.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*n**2 + 93*n**2 - 142*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1*sqrt(208))*-5*1 - (sqrt(208) - (1*sqrt(208) + sqrt(208) + -3))*3*-1)**2.\nAnswer: 224*sqrt(13) + 1028","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1\/10*68\/(-34))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1220202 (base 3) to base 10.\nAnswer: -1397","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d**2\/3 - 67890*d + 203685 = 0.\nAnswer: -40737, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1088) + (sqrt(1088) + 1)**2 + -1.\nAnswer: 24*sqrt(17) + 1088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 16*x + 60*x - 193*x + 8585 = 0 for x.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d**2 + 3. Let p(b) = 3*b**2 - 4. Let z(s) = 4*n(s) + 3*p(s). Let q(f) = -f. Give q(z(y)).\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/83)\/((-2)\/(-56)). Let y = r + -2\/249. Which is the third smallest value? (a) -2\/43 (b) y (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z - 4*z + 4*z - 6*z - 9*z. Let f(j) = -297*j. Determine f(x(c)).\nAnswer: 3861*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 380437279*t**2 - 3*t - 146090898 wrt t.\nAnswer: 760874558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16520, -16525, -16540, -16565, -16600, -16645?\nAnswer: -16700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.18 and 0.02.\nAnswer: -0.2836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9.745 + -11.745. Sort d, 3\/4, -4.2, 1\/9 in decreasing order.\nAnswer: 3\/4, 1\/9, d, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 5*d**2 + 6*d + 14. Let u be b(-6). Let n = u - -18. Let r = n - 35. Sort r, 3, 4 in descending order.\nAnswer: 4, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 + 5*n - 1. Let a(i) = -3*i - 10. Let o be a(-4). Suppose -o*w + 7 = k, 5*w = -4*k + 2*k + 18. Calculate t(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = l - 2*j, -87*j + 89*j + 11 = 3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -231586 (base 9) to base 6\nAnswer: -2551253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 202552435 + -15?\nAnswer: 202552420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1073 = -286*a - 7365 for a.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + 1 + sqrt(300))*5.\nAnswer: 5 + 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43608?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2\/5, -0.9, 3\/5, 26 in decreasing order.\nAnswer: 26, 3\/5, -2\/5, -0.9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 59760603767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 - 542*v**2\/3 - 728*v + 512\/3.\nAnswer: (v - 64)*(v + 4)*(9*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -1\/3*g**4 - 1\/20*g**5 + 0 + g**2 - 2*g - 2\/3*g**3. Is c(-4) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9 = p + 25, -2*p + 4 = 0. Suppose -5*b + 2*q + 2*q = -22, -4*b - q + 5 = 0. Solve -g = b*a + a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u + 25*u = -20. Sort -2, 5, -3, u in ascending order.\nAnswer: u, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-188\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -312522 (base 6) in base 2?\nAnswer: -110001010100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1872948 is divided by 4826?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 636453 is divided by 528?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3466971451?\nAnswer: 103, 701, 48017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -48 + 48.03. What is the nearest to -0.06 in -2\/19, q, 2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68915732.76854 + -68914562. Let q = s + -1120.767. Let k = 50 - q. Round k to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - 0 - 10)*7\/(-21). Find the common denominator of 3 - ((-170)\/(-24) + d + -5) and 59\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*h*i**2*s + 2*h*i**2 - h*i + 2*h*s**2 + 245*i**2*s**2 - 7*i**2*s wrt s?\nAnswer: 4*h + 490*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 37, -17, -0.3, 1\/9 in descending order.\nAnswer: 37, 1\/9, -2\/7, -0.3, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.46061 litres in millilitres?\nAnswer: 5460.61","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 3409998.39 and -4749?\nAnswer: 3414747.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/b**(1\/2))*b)**(-3)\/(b**(-3)*((b\/(b\/(b*(b**(5\/4)\/b)\/b)))\/b)\/b))\/((b*b\/b**(3\/8))\/(b**(6\/7)*b))**(-9) assuming b is positive.\nAnswer: b**(-271\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14882, 14328, 13768, 13202, 12630, 12052, 11468?\nAnswer: 10878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -71, -49, -13, 37, 101?\n\"Answer: 7*d**2 + d - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -1419.\nAnswer: -1418.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 0*l**2 - 10*l**2 + 14*l**2. Let z(h) be the third derivative of -h**4\/24 - h**2. Give z(a(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 5*j**4\/4 + 24*j - 2. Let u(b) = -b + 7*b - 3*b. Calculate q(u(d)).\nAnswer: 135*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 + 9*t - 7 + (1 + 1 - 1)*(-5*t + t + 2*t) + 2 - 2*t - 2 - 3*t + 2*t + 3*t + 0*t + 0*t - 2*t + t - t - 3*t in the form x*t + r and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-16))\/(12\/264)*(-4)\/2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.66 + 3.36. Let x = -23\/1260 - 2\/63. Which is bigger: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3016.149ml in litres?\nAnswer: 3.016149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 296*a**2 - 78*a - 8. Let n(m) = m**2 - 13*m - 1. Give -l(k) + 6*n(k).\nAnswer: -290*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the first derivative of -77*s**6\/6 - 4*s**5\/5 - 4*s**3\/3 + 2*s - 166. Find the third derivative of a(o) wrt o.\nAnswer: -4620*o**2 - 96*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -973 - 819. Factor 8*q**2 + 52*q**2 - 8*q + 0*q**2 + s*q**4 + 32*q**2 - 352*q**3.\nAnswer: 4*q*(4*q - 1)**2*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 smaller than -10568\/4717?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7.266424 + 53701.\nAnswer: 53693.733576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five halves of a century?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1629892 from 9.67.\nAnswer: -1629882.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**3\/11 - 6832*n**2\/11 + 4937110*n\/11 - 9846876\/11 = 0 for n.\nAnswer: -4029, 2, 611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-9)\/6 - -2)*194.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**4\/2 - 619*l. Let s(w) = 41*w**2. Give f(s(n)).\nAnswer: -10086*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21687, 21690, 21693, 21696?\nAnswer: 21699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 5*i**2 + 6*i - 6. Let s = 5 - 1. Let l be f(s). Suppose -l*n + n = n. Solve 2*m - 4*p + 5 - 21 = n, -5*p - 25 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 3, z: 2, i: 3, u: 1, o: 1}. What is prob of sequence zl?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -488084, -488077, -488068, -488057, -488044, -488029, -488012?\nAnswer: -487993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 - 5*m + 2. Let z be l(3). Let r = 144 - 158. Let f be ((-7)\/(-21))\/(2\/r) + 3. Which is the closest to f? (a) 0.5 (b) 2 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2016 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ouosomymooomxmuossms. Give prob of sequence omy.\nAnswer: 7\/1368","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3)*(-7914)\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2 + 0)*(31 - 31 - 5*i).\nAnswer: 30*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 4158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -41*p + 34*p. Solve -4*m + 1 = -p for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16961, -33893, -50825, -67757, -84689, -101621?\n\"Answer: -16932*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1845 + 2873*y - 5747*y + 2870*y)*(-3*y**2 + y**2 + 3*y**2)*(-2*y - 2*y + 5*y).\nAnswer: -4*y**4 - 1845*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -16?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 z, and 1 c when three letters picked without replacement from kwckwwfkhzwhwcfhww.\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10*(-36)\/960)\/(18\/96)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from eeeeneenennneeeenee.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q**2 + 1037*q**3 + q + 6*q - 6 - 1032*q**3 + 5 in the form p*q**2 + v*q + m + j*q**3 and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 871771 divided by -42.\nAnswer: -871771\/42","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 40\nAnswer: -19\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9071 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 8:36 PM?\nAnswer: 1:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1969406, -3938815, -5908224, -7877633, -9847042?\n\"Answer: -1969409*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*i - o = 8*i - i + 87, 3*i - 11 = -2*o for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200456?\nAnswer: 2, 25057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1446 = 2*u, -2*u = 28*g - 25*g - 1074. Does 20 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.04*-710.\nAnswer: -28.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27 + -29. Put s, -2\/7, -0.1 in descending order.\nAnswer: -0.1, -2\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81492411171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 96465?\nAnswer: 3, 5, 59, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6*f**2. Let j(v) = 5*v + 3. What is g(j(p))?\nAnswer: -150*p**2 - 180*p - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 25172 to the power of 1\/2, to the nearest integer?\nAnswer: 159","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -285*f - 683. What is the thousands digit of o(-35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 6:17 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (7 + -4)*-1 - 1. Which is the nearest to 0? (a) y (b) 0 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3135386 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -2*y**2 + 65*y - 201. Let t be a(28). What is the highest common divisor of 3 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5*a - 110 = 0, -a + 85 = 4*f - 0*a. Solve 5*q + 2*i - 29 = i, -5*q + i + f = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-344)\/(-14) - 108\/(-252). Let h be 18*((-4)\/(-3))\/1. Suppose 4*x + 0*x - p = h, 0 = -5*x - 4*p + 30. Solve x*n - n = -o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4428 + 4427 - 8856. Let p(l) = 2*l**2 + 4. Determine -5*h(n) + p(n).\nAnswer: 2*n**2 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**5 - 12*k**4 - 9*k**3 + 54*k**2.\nAnswer: 3*k**2*(k - 3)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = q - 3*n, -n + 0 - 18 = -3*q. Let m be ((-15)\/6)\/(q\/(-10) - 0). Suppose x - 64 = -5*c - 2*x, 0 = m*c - 4*x - 78. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18504164 to the power of 1\/3, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 111 = -b - 2*b, 4*m = -5*b + 227. Suppose -4*t = 2*v - 77 - 153, 2*v - 4*t - 230 = 0. Suppose -5*n + 4*i = -v, -n - n = -5*i - m. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114404 (base 5) to base 14\nAnswer: 1830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22395018, -44790039, -67185068, -89580111, -111975174, -134370263, -156765384, -179160543?\nAnswer: -201555746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**2 + 154*r - 600 = 0.\nAnswer: 4, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/1 - -3)*(-6 + 9). Suppose -3*z + 6*z = 90. Calculate the highest common factor of q and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 32.7 and 1.498.\nAnswer: 48.9846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/25 of a kilogram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 175 = -194*p. Let y(z) = 39*z + 13. Determine y(p).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 1.17.\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 465 and 129.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3649275\/115850*(-48)\/14*1.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374374868 to the power of 1\/3, to the nearest integer?\nAnswer: 721","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9746608 nanograms in milligrams?\nAnswer: 0.0000009746608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 128888366 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*(l*l*l*(l*l**(1\/4))\/l*l*l*l)\/l))\/l)**(-41)\/((l\/(l*(l\/(l*l**2)*l)\/l*l))\/l)**(-3) assuming l is positive.\nAnswer: l**(1025\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + 0)*(2 - 1). Let q(y) = -4*y**2 - 28*y - 11. Calculate the remainder when q(-5) is divided by ((-12)\/l)\/((-9)\/30).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h + 49*h**3 + 5*h**4 + h + 5*h**4 - 12*h**4 to z*h**4 + y*h**2 + k*h + o + u*h**3 and give u.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2703 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37972*f - 50*f**2 + 38916*f - 3*f**3 + 2*f**3 wrt f?\nAnswer: -6*f - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3589096 = 3589096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 205*i + 2495. Let x be y(13). Which is smaller: -26\/953 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-2 + 0 - 2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*c + 33301 = 0, 2*c - 13173 = -4*b + 31233. Suppose b = 21*k - 8*k. Does 73 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.107.\nAnswer: -0.0107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -121*s**4\/6 - 3476*s**3\/3 - 17464*s**2 - 70784*s\/3 - 25088\/3.\nAnswer: -(s + 28)**2*(11*s + 8)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2 - 6*d - 34. Give c(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tc when two letters picked without replacement from litlllclittltllt.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 4*u - 32 = -4*f, u = -f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4939.7 years in decades?\nAnswer: 493.97","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/864, 0.23, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2498773 or 29?\nAnswer: 0.2498773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-6\/7)\/j**(1\/3)*j**(-5\/2)\/j*j**(-1\/4) assuming j is positive.\nAnswer: j**(-415\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 126192465 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -19 + 2. Let b(l) = -l**2 - 16*l + 19. List the prime factors of b(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-2)*((-11)\/((-176)\/8))\/((-33)\/1881).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.32 - 149.\nAnswer: -158.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -72, -146, -222, -300, -380, -462, -546?\n\"Answer: -a**2 - 71*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 264 divide 1310399356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 621973 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 9*(-3 - -3 - 1). Let u(p) = p**3 + 8*p**2 - 8*p + 6. Let g be u(o). Let d(w) = -w - 3. Let r be d(-3). Which is the nearest to r? (a) 0 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 290734?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 183 divided by 3043\nAnswer: 183\/3043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 6*n = -1969. Let q = n - -485. Calculate the greatest common factor of 18 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(13)*-2 + sqrt(52) + -2 + sqrt(52)\/sqrt(36) + sqrt(13) + 1*sqrt(325).\nAnswer: -2 + 13*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 9*o - 130. Calculate l(19).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/13 (b) 253 (c) 19 (d) 1.069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14936896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39747*f*o**4 - 9*f*o**2 - 2290*f*o wrt o?\nAnswer: -953928*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.2857 - 47.2043. What is l rounded to the nearest integer?\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*r + 92 = -323. Let y(n) be the third derivative of 0*n + 1\/2*n**4 + 1\/40*n**r - 9*n**2 + 0 + 3*n**3. Let y(i) = 0. What is i?\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -3 + -4 + (-3 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 + 94*p + 653. Calculate q(-8).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/11)*s**(-1\/3))**(6\/17) assuming s is positive.\nAnswer: s**(-16\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.7, -22209, -1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/196*-35*3172\/(-122).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r - 1044 = -21*r. List the prime factors of r.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*d - 39, l + 5*d + 2 - 4 = 0. Let h = 11 + l. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41228 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 12:19 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796161 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 79783553*c + 175452195 wrt c.\nAnswer: 79783553","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7022 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((224\/(-42))\/16 + 0)\/((-14)\/(-18))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p + 2. Suppose 12 = -3*v - 21. Let w be c(v). Let h = -9 - w. Solve -3*z + h*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 165.7589828 rounded to zero decimal places?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 k, and 2 j when four letters picked without replacement from jhjkjjwekhwhjhkjj.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 + 1306*i + 82 - 21)*(1 + 0 - 2).\nAnswer: -1306*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 17, c: 3}. Give prob of sequence cuu.\nAnswer: 34\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 11*z + 22. Suppose -5*i + 3*i + 7 + 7 = 0. What is t(i)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence di when two letters picked without replacement from {q: 1, a: 4, l: 3, k: 1, i: 6, d: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.13, -5, 4.\nAnswer: -5, -3, 0.13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 4*j. Let v = -2 - -2. Let c(i) = i**2 - 5. Let k be c(0). Let h = k + v. Calculate w(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42 + -41. Is v not equal to 2\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyyyfynppsfysfyay. Give prob of picking 1 p and 1 y.\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/49 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 81064621*u**4 - 22*u + 275534?\nAnswer: 972775452*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 295*o**7\/42 - o**5\/10 + 33*o**4 - o**2\/2 + 81*o - 6. What is the third derivative of u(q) wrt q?\nAnswer: 17700*q**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q**3\/3 + 163*q**2\/3 - 2416*q\/3 + 3136 = 0 for q.\nAnswer: 8, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, -5, -4, -19884?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11773475 - 24.\nAnswer: -11773499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s**2 + 55*s + 234. Let x be d(-5). Let u(n) = -13*n**2 + 4*n + 12. Let z(l) = -3*l**2 + l + 3. Calculate x*z(g) - 2*u(g).\nAnswer: -g**2 + g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 2741180 to the nearest 1000000.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, -1\/49, -2, -0.036, -3?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3832 + -3848.69. Let n = r - -17. What is n rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -163 + 92. Let i = 70.999 + m. Round i to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/2)\/(724\/(-1448)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -68 + 73. Suppose 4*t = -m*i + i + 20, 2*i = t + 10. Suppose 0 = i*s - 10*s + 160. Calculate the highest common factor of s and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2535\/32 + -293791\/288. Let b = 940 + f. Find the common denominator of b and -23\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.82464987 to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 + (-11 - (-62 + 36) - -5)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4*p. Let k(r) = -r**2 - r + 96. Let w be k(9). Let d(y) = y. Calculate w*d(g) - a(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -7. Let v = j + 3. Suppose -4*o - o - v*m = -705, 4*o - 3*m - 595 = 0. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 AM and 8:56 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -7\/4, -1, 1\/7 in ascending order.\nAnswer: -7\/4, -1, 0, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 1807?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3324769*y*z**3 + 279*z**3 + 939 wrt y.\nAnswer: 3324769*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6285418 minutes in milliseconds?\nAnswer: 37712.508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07446, 0.4, -0.04.\nAnswer: -0.07446, -0.04, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 * -0.37\nAnswer: -2.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -x**6\/1080 - x**5\/360 + x**3 + 1. Let l(m) be the third derivative of o(m). Suppose l(a) = 0. Calculate a.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 22 + -7 - -9?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1609, 1846, 2\/13, 0.1 in descending order.\nAnswer: 1846, 1609, 2\/13, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 4. Let n be (1 + -3)*(-3 + 2). Let z(j) = 1. Give n*k(r) - 9*z(r).\nAnswer: -2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.60861941 to three dps.\nAnswer: 9.609","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8469015167 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.010304 + 5.010304. Let i be (-3)\/(-2 + 9\/5). Sort j, -2\/7, i in descending order.\nAnswer: i, j, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -5*f**3 - 3*f**2 - 3*f. Let o = -12 - -15. Suppose o*j - 2 = 7. Let h(t) = -4*t**3 - 2*t**2 - 2*t. Give j*h(l) - 2*b(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -417 + -17. Let q = -433 - x. Let n be 26\/57 - 4\/6. Is n less than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*b - t - 4, 4*t - 4 = 0. Let u(q) be the first derivative of -3*q + 13\/3*q**3 - 11 + b*q**2. Differentiate u(m) with respect to m.\nAnswer: 26*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*o**2 - 18*o**2 - 45*o**2)*(1 + 0 + 0)*(0*o**3 - 2*o**3 + 0*o**3) - 2*o**5 + 5*o**5 - o**5.\nAnswer: 108*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jk when two letters picked without replacement from {j: 1, u: 1, i: 1, k: 1, h: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*u**3 - 10*u**3 - 15*u**3.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19*g**3 + 13*g**3 + 4*g**3)*(58*g + 3*g - 28*g) in the form c*g**4 + o + a*g**2 + n*g + b*g**3 and give c.\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 240968072?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183 - 902 = -7*k. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**3 + 0*b**3 - 2*b**3 + (4*b - 4*b + b)*(-3*b**2 + 4*b**2 + 0*b**2) + b**2 + b**3 - b**2 + 563 + b + 554 - 1114 - 39*b**3.\nAnswer: -35*b**3 + b + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 - 14*b**2 + 14*b - 16. Give y(-15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 1)*2\/5. Suppose 0 = -u*v - 4 - 4, 4*v = -t - 6. Suppose 5*c + 0*c - 400 = 0. What is the highest common factor of c and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825269789 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14889, 29715, 44495, 59205, 73821, 88319, 102675?\n\"Answer: -4*o**3 + o**2 + 14851*o + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3591)\/252*(18\/24)\/(36\/64).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/275300 and 81\/60566.\nAnswer: 3028300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 0 - (-1 - 8 - -4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r**(-33)\/r))*r*r**(1\/13))\/(r\/r**(-3\/4))**(-1\/9))**(-45) assuming r is positive.\nAnswer: r**(76585\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -17*x - 5. Let w be m(-5). Suppose 5*o - 8 = 4*o. What is the highest common factor of o and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*k - 143 = -92*k. Suppose -k*s - 98 = -15*s. What is the remainder when 195 is divided by s?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -5*j**4\/48 - 115*j**3\/24 - 75*j**2\/2 + 140*j. Factor m(z).\nAnswer: -5*(z + 3)*(z + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16*k**3 + 10*k**2 - 10*k**2)*(0 + 0 - 4*k) to f*k + i*k**2 + h + m*k**3 + n*k**4 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**8\/84 + 3*h**4\/8 - 7*h**2. Find the second derivative of i(k) wrt k.\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 AM and 6:02 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 760711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 828473.2 years to centuries.\nAnswer: 8284.732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -47*a**2*n*q**3 + 432361*a**2*q**3 + 46*a**2 + 238008*n**2*q**2 wrt n.\nAnswer: -47*a**2*q**3 + 476016*n*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -516 divided by 172\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 3*w + 22, 5*k - 2*w + 3*w + 22 = 0. Let a be 2*2\/k + -1. What is the smallest value in a, 0.06, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/45 (b) 2 (c) -0.4 (d) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -15824a (base 16) to base 10\nAnswer: -1409610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -495, -961, -1439, -1935, -2455, -3005?\nAnswer: -3591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -9. Suppose b = -4*f - 3*w + 120, -w + 155 = 5*f + 4*w. Suppose 0*q = -3*q - f. What is the second smallest value in 0.3, q, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2640, 11267, 25874, 46461?\nAnswer: 73028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 66367.3392 to zero dps.\nAnswer: 66367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-22))\/(302\/(-13892)*-644)?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -59.2317 - -16.63. Let h = t - 218.9293. Let u = h - -262. What is u rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11000011100010101001 (base 2) in base 5?\nAnswer: -201112222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -59063 + c - 12993 - 5986 + 10473 + (-4*c + 5*c - 3*c)*(-1 + 0 + 2).\nAnswer: -c - 67569","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 450.1451 weeks?\nAnswer: 4537462.608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 11\/(-22) + -1*132\/(-8). Solve -2*o = 6*o - f for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3085?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(17\/68*-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2429977 is divided by 607485?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 2 + 2)*(-8*c + 12*c - 8*c) in the form q + j*c and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 3*l**2 + l + 4. Let a be m(3). Let x = 30 - a. Suppose -5*n + 127 - x = -3*t, t - 68 = -3*n. What is the remainder when n is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*m + m + 13*m + 8*m - 30*m.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25870903?\nAnswer: 1171, 22093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 258?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (26 - 1)) + (-197 - -238)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -523468 divided by -44\nAnswer: 11897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5594887 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.355 + -25.555. Let d = b + 23.3. What is the nearest to d in 1\/3, 2\/19, 0.3?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20306?\nAnswer: 2, 11, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -15*h**2 + 283*h + 13. Determine s(19).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 2*l = 3*r - 14, 4*r - 16 = 2*l. Let u(q) be the second derivative of -q**4\/12 + 5*q**3\/6 + q**2\/2 + 4*q. Let j be u(5). Solve -r*p + 9 = j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14123 is divided by 705.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 3*g**2 - 10*g - 7. Let m = 28 - 33. Let b be z(m). Is 3 a factor of (-2)\/(3 + b)*18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28899.71 and 7.7.\nAnswer: 222527.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5\/6, -2, -2\/115, -4?\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -4 + 0*d**3 + 43*d**2 + 20*d - 15*d + 1 - 2*d**3 - 45*d**2. What is k(-3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4309, -4232, -4113, -3958, -3773, -3564, -3337?\n\"Answer: -w**3 + 27*w**2 + 3*w - 4338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + -5\/4. Let s(i) = i**2 - 8*i - 2. Let t be s(8). Do t and q have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + ((-3 + 1 + sqrt(11) + ((-1 + sqrt(11))*-3 - sqrt(11)))*-6 + 3 + sqrt(11)*-1 + 3 + sqrt(176) + -1 + sqrt(176))**2).\nAnswer: -100*sqrt(11) + 13754","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38763436?\nAnswer: 2, 251, 38609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 384 and 432?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -670*p - 4877 + 4877 - 9270*p - 3458*p to n + a*p and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 8072, -4.39, -1\/15 in descending order.\nAnswer: 8072, -1\/15, -4.39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, z: 2}. What is prob of picking 3 j and 1 z?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3039?\nAnswer: 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32077.\nAnswer: 32077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u**2\/4 - 46870977*u\/2 + 31247319\/4 = 0.\nAnswer: -10415773, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5 = -14. Let r(g) = i + 3*g + 0*g + 4*g. What is the tens digit of r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1098*v**2 + 12*v**3 + 7*v - 4*v**5 + 553*v**2 + 546*v**2 wrt v.\nAnswer: -240*v**2 + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 32\/(-14) - -2 - 36\/(-28). Put 21.5, -1, h in decreasing order.\nAnswer: 21.5, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4\/3 + 40*l**3\/3 + 511*l**2\/3 + 848*l + 1344.\nAnswer: (l + 3)*(l + 8)**2*(l + 21)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 - 14*t**2 + 2. Let l be j(14). Suppose -l*f + 5*f = 444. Does 37 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -6a76?\nAnswer: 6a7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169560658?\nAnswer: 2, 197, 430357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/7 + 495*s**2\/7 + 777*s + 2596\/7.\nAnswer: (s + 11)*(s + 236)*(2*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*r**2 + 18*r + 0.\nAnswer: 2*r*(r + 27)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z**3 - z**2 + 6*z + 2. Give t(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - 3*w**3 + 6*w**3)*((3 + 6 + 0)*(1 - 1 + 1) - 3 - 6 - 5)*(3*w - w - w).\nAnswer: -10*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 92606412 to the power of 1\/3, to the nearest integer?\nAnswer: 452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - x + 20 = 0. Suppose 136 = x*t - 4*z, 3*z = -4*t + 6*z + 108. What is the greatest common factor of t and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8805 is divided by 298.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2702 - -2712. Solve r = 3*t + a, -t + a - 3 = -9 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7102, 7098, 7096, 7096, 7098, 7102, 7108?\nAnswer: 7116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1656\/33 + (-4)\/22. Suppose -651*p - 4200 = -672*p. Calculate the greatest common factor of p and o.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than -18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - u - 7 - 17, 4*k - 24 = 5*u. Let l(j) = -j**2 + j - 1. Let i(o) = 3*o - 3. Let x(m) = k*l(m) - 2*i(m). Let z(q) = -3*q. What is z(x(a))?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 22 = 2*x, 2*x + 0*a + 2*a = 2. Solve -4*v - 2 = x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 - 27*a**2 - 71*a + 467. Let p be n(29). Let k = -44 + 74. What is the greatest common factor of p and k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 28*h + 5. Give s(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 15\/22 (b) -114 (c) 3 (d) -2 (e) -0.5 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 + 11*n + 2. What is m(12)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4391 is divided by 37.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00078909 rounded to 4 decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 22 (c) 18 (d) -0.5 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -163624.0331 + 1.647?\nAnswer: -163622.3861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 32510541 (base 6) to base 14\nAnswer: 1b4abb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c - 7. Give a(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 47.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 48674538 divided by 129\nAnswer: 377322","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 33. What is s(7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000034202544 to 7 decimal places.\nAnswer: -0.0000342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164 + 3*d**2 + 6*d**2 - 71 - 93.\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - 5*v + 2 - v**3 - 6*v**2 - v**3. Let u be b(-5). Let i be ((-7)\/(42\/48))\/(-2). Sort -1, i, u in increasing order.\nAnswer: -1, u, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47 + 81. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1467673 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) + -2 + 1)*5.\nAnswer: -5 + 40*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 13*b - 271. Let g be t(21). Let m be (12\/8)\/((-6)\/(-40)). Differentiate m*l + g - 5 - 8 wrt l.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = -17*g. Let k(y) be the first derivative of -1\/5*y**5 + 1\/3*y**3 + g*y + 0*y**4 + 0*y**2 - 1. What is the third derivative of k(o) wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -4 - (55 + -26 + -28)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 625989?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -180*o**4 - 5757*o**3 + 276*o**2 + 5757*o - 96 = 0. Calculate o.\nAnswer: -32, -1, 1\/60, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-74)\/74)\/((-3)\/(-2)*-7*12\/(-10962)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -18 + -9*(-6 - ((-510)\/18)\/5). Let h = -0.04 - 1.96. Which is the third smallest value? (a) -0.5 (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/330 and 143\/5436570?\nAnswer: 59802270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 965*p - 73681. Determine m(76).\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i**2 + 4*i + 2. Let d be w(-2). Suppose -a = 12 - d. Let u = -12 + a. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19942 = 6725*j - 8259*j for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, n: 1, j: 1, k: 4, q: 3}. Give prob of picking 1 n, 1 p, and 1 j.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3327, 3339, 3351?\nAnswer: 3363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -2\/17, -5, 58?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -415 + 424. Calculate the smallest common multiple of 64 and o.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2990.\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/70 + 40255\/(-29050).\nAnswer: -21\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52142987?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -2326.964?\nAnswer: -2327.464","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 11:51 AM?\nAnswer: 9:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 174950019 a multiple of 3847?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -59, -311, -731, -1313, -2051, -2939, -3971, -5141?\n\"Answer: s**3 - 90*s**2 + 11*s + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 5*v + 5, 2*p = -5*v + p + 19. Let q(w) = -7*w - 1599999*w**2 + 2*w + v*w. Let c be q(2). What is c rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1931805475?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -2*a**2. Let l = 6 - 12. Let k(s) = 3*s**3 - 3*s**2 - 3*s + 10. Let w be k(8). Let o(f) = -1330*f + f**2 + w*f. Give l*r(t) - 11*o(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20748?\nAnswer: 2, 3, 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 7*h - 22. Let s be u(5). Suppose s*g - 7*g = 210. Let i = 3.4 - -0.6. Sort g, -0.4, i.\nAnswer: -0.4, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4137058 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.04 + -0.54. Sort i, 0.2, -1 in decreasing order.\nAnswer: 0.2, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**3\/3 - 3255. Let p(b) = 2*b - 714. Calculate z(p(t)).\nAnswer: 4*t**2 - 2856*t + 509796","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3583184 and 1584.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**3*c + b**3 - 1012*b**2 + 6237*b*c + c wrt b?\nAnswer: 18*b*c + 6*b - 2024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 4*c**3 - 6*c**2 - 6*c. Suppose -36 = 5*i - 11. Let h(x) = 3*x**3 - 5*x**2 - 5*x. Suppose 201*b - 590 = 198 + 418. Give b*h(u) + i*m(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 n when three letters picked without replacement from {n: 6, u: 7, x: 1}.\nAnswer: 9\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-129956)\/30650)\/(6\/15).\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860\/(-155)*1*2\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of 0 - 1\/60*v**5 - v**2 + 0*v + 1\/6*v**3 + 1\/8*v**4. Determine p(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 42. Let d = u + -21. Let j = 2 + -2.1. Do j and d have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r - 8. Let d be q(-15). Let y(i) = d*i**3 + 19 + 9*i + 2*i**2 - 6*i**3 - 10*i**2 - 26. Let j(o) = o. Let a be j(7). Give y(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1797)\/(-3) - (-9 - -16).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6053?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -126*t**2*x - 58527*t**2 - 11*t*x + 936*t wrt t.\nAnswer: -252*x - 117054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-8) + ((-12)\/(-6) - 19).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 25*h**2 + 27*h + 16. Let m be f(-24). Let d = -54 - m. Is -1070*(d*3\/(-4))\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 5*r - 14. Let o(j) = 3*j**3 - 3*j**2 + 1. Let p be o(2). Let m be y(p). Suppose 0*f = f - m. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 + -0.1. Let p = -3238\/5 - -648. Which is the second biggest value? (a) u (b) 4 (c) p (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-23 + 22 + 0*q - 16*q)*(3 + 4 + 3 + q).\nAnswer: -16*q**2 - 161*q - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 820363.4mm in centimeters?\nAnswer: 82036.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 36. Let p be (-552)\/c + -4 - -4. Let x = p - -136\/5. What is the smallest value in -0.09, -4\/3, x?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 291, 5, -38, -5\/22?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.92 + 0.08. Let u = 58 + -46. Let k be (-790)\/248 - -3 - (-3)\/u. What is the second smallest value in x, -2\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 59*g - 60*g + 375. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -71*m**2 + 3 - 2 + 2*m + 76*m**2 as k*m**2 + l + g*m and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/118656 and 41\/81024?\nAnswer: 25036416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/4550322 and 155\/1428?\nAnswer: 9100644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnrrrrrrrrmrrn. What is prob of picking 1 n and 3 r?\nAnswer: 240\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1045 - 720. Is 42 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*i - 692, 395 = -4*i + 4*p - 261. Let n be 7 + 1122\/i + 6\/14. Suppose -3\/8*d**2 - n*d + 0 = 0. Calculate d.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbfevalal. What is prob of sequence fa?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.07 (b) 1 (c) 0.7 (d) -4 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -334 (b) 1\/3 (c) -2\/11 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = 4*u + 19. Let k be 4\/1*u\/(-8). Suppose 11*b - 33 = -0. Solve 0 = k*s - b*s - 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/3285 and -29\/25.\nAnswer: 16425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a. Suppose 3*j + 4*r = 14, -5*j + r = -86 + 32. What is the least common multiple of j and o(-1)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(((s**(-6\/7)*s)\/s)\/s)*s)*s*s*s*s)**(-1\/4)\/(s**(13\/6)\/(s\/s**(-4\/11)*s)) assuming s is positive.\nAnswer: s**(-41\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -74006396 - -0.2106612\nAnswer: -74006395.7893388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(0 + -3 + 2 + sqrt(57)\/sqrt(3)).\nAnswer: -3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*t - t = 11*t - 74. Which is the second smallest value? (a) 4 (b) 1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvrmkrommkrkq. What is prob of sequence vr?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 - 2520*j + 17638\/7.\nAnswer: 2*(j - 8819)*(j - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**5 - 100*g**4 + 85*g**3 + 190*g**2 = 0. What is g?\nAnswer: -1, 0, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 65330 to the power of 1\/2, to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 7*c + 6. Suppose c*h - 55 + 7 = 0. Factor 3*w**h + 15*w**3 - 12 + w**5 + 589*w - 613*w - 4*w**5 - 3*w**2.\nAnswer: -3*(w - 2)**2*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15\/10*(-348)\/(-9) is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292616 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -17*y - 84. Let t be x(-5). Let s be ((-5)\/(-25)*0)\/t. Factor 0*d - 1\/3*d**2 + s.\nAnswer: -d**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36595 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: Which is smaller: 104200756 or 104200754?\nAnswer: 104200754","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(((-8)\/(-200))\/(12\/(-20))).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -391 - 8.\nAnswer: -399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 39 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (4\/14 - 259\/735)\/(3\/27)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*b - 96 = -c, -3*c + 2*b = -72. Suppose -3*w - c = -5*w. Solve 2*r + r = w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/6 and -28\/291?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -377 divided by 571\nAnswer: -377\/571","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -176465829*u**4 + 176833958*u.\nAnswer: -2117589948*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1221301 (base 4) in base 3?\nAnswer: -100021201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*c = -5*c + 5 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2474300 rounded to the nearest ten thousand?\nAnswer: -2470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09259791 rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1 - (-4 + 0 + 1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0813 from 3.\nAnswer: 2.9187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, 390, -2, 25\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.89 + 47.89. Let x = n + -47.4. What is the nearest to 4 in 5, x, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2628 - -58\nAnswer: 2686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (18 - 26) - (7 + -1).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010255 (base 6) in base 5?\nAnswer: -3014214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vpvvpp. What is prob of picking 1 p and 3 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 9877372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -12*g - 6. Let n(l) = -18537*l. Calculate j(n(m)).\nAnswer: 222444*m - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.142 + 63.858. Let y = 1150 + -1194. Let o = y + f. Is o > -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1764 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 237?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2\/(2\/(-285)*-5).\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ycq when three letters picked without replacement from {w: 1, k: 1, g: 1, c: 1, y: 2, q: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67167?\nAnswer: 3, 17, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 183*t + 206*t - 746*t + 186*t + 185*t.\nAnswer: 14*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 200 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -4220400.\nAnswer: 1\/4220400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 - 6*x**2 + 10*x + 3. Let q be b(-8). Let j = -2041\/328 + -160\/41. Calculate the common denominator of (-39)\/(-26)*25\/q and j.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffyfffyfyff. What is prob of sequence yfyy?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 535*j - 150. Is y(13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 280 and 102865.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16033051361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -12. Solve b*w + 5 - 23 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60.6 + -62.724. Let y = -12.934 - v. Let j = -0.21 - y. Round j to 0 decimal places.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/50*-2*2\/(-699). Which is bigger: d or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 9, 1\/25?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 12 (b) -4 (c) 4\/85 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -9*p - 7. Suppose 0 = 4*l + 32. Is n(l) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -31 - (-43 - (-41 + 16)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - -13 - 2 - 3) + -3. Solve 5*t + 2*t = w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8759 * -0.4\nAnswer: 3503.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 330853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -42 + 58 - (7 - -9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d + 5. Let c be i(7). Let w = 6 + c. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 d when four letters picked without replacement from {d: 7, z: 4}?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 1\/8, 654771 in ascending order.\nAnswer: 1\/8, 1\/3, 654771","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r. Let v(n) = 115*n**2 - 192*n**2 + 105*n**2. Determine u(v(i)).\nAnswer: 28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39786549?\nAnswer: 3, 11, 1205653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 232 and -0.5?\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + 2*i)*(2 + 0 - 4)*(359*i - 222*i**2 - 359*i)*(-36 - 7 + 9) as r*i**3 + a*i**2 + j*i + c and give r.\nAnswer: -30192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(324)*-2)\/(-5*sqrt(48)).\nAnswer: -3*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + ((-9)\/(-1))\/3. Let b = -7 + 12. Suppose -2 = b*d - 7*d. Calculate the greatest common factor of d and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-105)\/14*1\/(10\/8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 7*a**2 + 4. Let k be d(-2). Suppose -4*m - 1 = -s - 85, 2*m + 2*s - k = 0. Calculate the lowest common multiple of 24 and m.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4)*(-13*d**5 + 13*d**5 - 15*d**5) - 4*d**5 + 11*d**5 + 13*d**5.\nAnswer: 35*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3774 = 276*w - 12330 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 179\/2092 or -1?\nAnswer: 179\/2092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in eleven tenths of a millennium?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.2495 rounded to zero decimal places?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3081829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 440974?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2259 is divided by 87?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 195 = -8*i - 181. Let r = -72 - i. Let b be (12\/(-10))\/(1\/r) - 2. What is the highest common factor of b and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 4*f - 2. Suppose 0 = -4*i - 7 - 5. Let q(t) = -t. Determine i*q(k) - n(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 149\/4 in 13\/5, -3, -4, -0.032, 0?\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 + 33. Let z be ((4 - 4) + 0)\/h. Suppose 3*y - 4*s - 141 = 0, -4*y + 5*s + 189 = -z*y. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/3)\/2)\/((-636)\/(-31800))\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11 and 473?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15280719 to the power of 1\/3, to the nearest integer?\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70170 is divided by 1671?\nAnswer: 1659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 698526.\nAnswer: 2, 3, 151, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 749 or -48680?\nAnswer: 749","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 663532 is divided by 187.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (2 - 6) + -1 + -12.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 48?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*15\/(-9) + -8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 14\/363773?\nAnswer: 14\/363773","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 250091?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/730 and -22\/35.\nAnswer: 5110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 + 3)*(2*l + 0*l - 3*l) - 9*l + l - 14 + 13.\nAnswer: -19*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/z**(-5\/3))*z**(-2\/5))\/(z**(-2)*z)**(-10) assuming z is positive.\nAnswer: z**(-166\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-5)*17250\/300 + 10 + 8.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 10232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*k**2*z**3 + 2*k**2*z**2 - k**2*z - 2*k*z**3 - 5*k - 5*z wrt z?\nAnswer: 114*k**2*z + 4*k**2 - 12*k*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 61, 102, 171, 268?\n\"Answer: 14*y**2 - y + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 12*f**2 + 5*f**3 - 2*f - 36 + 14 - 5*f**3. Let m be o(-12). What is the greatest common factor of m and 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g - 7. What is the remainder when 18 is divided by u(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/2028 and -12?\nAnswer: 2028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 5*j + 16, 0 = 4*z + j - 10 - 4. Let h(d) = -d**3 - d - 1. Let w(f) = 4*f**3 + 3*f + 1. Determine z*h(n) + w(n).\nAnswer: n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 7*d = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 + 3 - -4) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*n + t + 346 = -59*n, 4*t - 24 = 0. What is the greatest common divisor of 1912 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 3 (c) 4 (d) 0.15 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1252 - 1252 = -4*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 614.4776ml in litres?\nAnswer: 0.6144776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 221 + -223. Suppose 1 - 13 = 4*p. Sort 2, h, 1, p in ascending order.\nAnswer: p, h, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2804*s**2 - 36465*s + 162. Determine j(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 - (-32 - -4).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -12270 rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = s - 16, -8 - 7 = 5*s + v. Which is the fourth biggest value? (a) s (b) -7 (c) -3\/4 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 78, 37, -30, -129, -266, -447?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 1)*(-6*s - s - 2*s) - 19*s + 0*s + s + 0*s + 3*s - 4*s.\nAnswer: -46*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9831257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 0.0897 (c) 4 (d) 5 (e) 2.1 (f) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -0*n + 515. Let y = 34 - n. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1173510 and 10\/4779.\nAnswer: 10561590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.04 (b) 221 (c) 5.3 (d) -16 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -24. List the prime factors of -9*m*2603\/(-57).\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1571463 or -1571339?\nAnswer: -1571339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = 3*d - 18, 5*u - 2*d - 1236 = -1210 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 32.\nAnswer: 5\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 238*c**2 + 4.\nAnswer: 238*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1055452 or -1055451?\nAnswer: -1055451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -19073194.\nAnswer: 1\/19073194","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 506 (b) -0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.9 + 0.9. Let q = -57 + 62. Sort q, -1, h in descending order.\nAnswer: q, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 14 = 5*g + 3, -5*c - 2*g = 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -25, -2, 404, -3 in increasing order.\nAnswer: -25, -3, -2, 5, 404","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -64 + 28. Calculate the remainder when 1\/6 - 1218\/g is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 2*d + 5. Let u(q) = 2*q**2 + 3*q - 5. Let a(s) = 3*p(s) + 2*u(s). What is the common denominator of 12\/5 and a(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100 (base 2) to base 15\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -14 + 2. Suppose 3*b + 4 = w - b, n*w - 3*b = 3. Suppose 5*i - 56 = -2*u - 60, -6 = -i + 3*u. Is i at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43695410 divided by 397231\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/11 + (3404\/74 + -58 - (-12 - -1)).\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 691768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13632?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1816)\/1362*(-1 - (-49)\/(-2)). Let h be 5*3\/(45\/6). Let g be (-1)\/(1\/5) + h. Put 0.3, c, g in ascending order.\nAnswer: g, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u + 6 - 3*u + u + 2*u to the form j + g*u and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 295156 by -2.\nAnswer: -147578","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2942*w = -2950*w + 496. What is the highest common divisor of w and 93?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1757.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/94905 (b) 24 (c) 74\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*v - 4 = 0, -m + 6 = -0*m + 3*v. Let b(y) = -y**2 - y + 3. Let u be b(m). Suppose d - 3*d - t = -19, -u*t - 15 = 0. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(70\/63) + (-1 - 3). Solve 2*s = t*s - 12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8 and 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 23*i**2 + 30*i + 67. Suppose 189*o + 100 = 185*o. What is the units digit of h(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) 0 (c) 2\/9 (d) -1 (e) 0.4 (f) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56 or -1368?\nAnswer: -1368","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -def (base 16) to base 10\nAnswer: -3567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 133000 rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15774.999 - 15795. Let i = -20 - a. Let z = -8.001 + i. Do -2 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2511, 2590, 2679, 2778, 2887, 3006, 3135?\nAnswer: 3274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -993.000491 - -993. What is l rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2*k + 21975 = 5*q, -2*k = 4*q - 8794. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 50, 101, 152?\n\"Answer: 51*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -615419244 divided by -91417?\nAnswer: 6732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*r - 3*r + 4*r + 1 + r - 1 + (0*r - 4*r + 2*r)*(-3 + 2 + 3) + 2 + 9*r - 2 + 618*r + 572*r - 97*r + 4435*r + 2098*r in the form s*r + i and give s.\nAnswer: 7630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*t**2 - 5*t**3 + t - 1 - 5*t + t**3 + 2*t**3 + t**3 in the form x*t**2 + k*t**3 + w + d*t and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 18*s + 28. List the prime factors of x(4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 4*h + 15 = 0, h + 25 = 6*h. Which is bigger: 3\/5 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(3) + (sqrt(21)\/sqrt(7))**2*-3).\nAnswer: -3*sqrt(3) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4 = 0, -2*d = -3*m + 30 - 19. Find the second derivative of -132*h**m - 524 + 524 - 40*h**3 + 12*h wrt h.\nAnswer: -1032*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1553 (base 11) to base 9.\nAnswer: -2655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 849 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.3 and -9235?\nAnswer: -21240.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 276201 and 1354994?\nAnswer: 1078793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 248*o - 990. Let k be g(4). Which is the closest to 2\/3? (a) k (b) -5\/3 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zve when three letters picked without replacement from lvjvjjvzljejlj?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d + 102 = 137. Let g(z) be the first derivative of 14\/5*z**d + 16*z**2 + 1\/3*z**6 + 19\/2*z**4 + 50\/3*z**3 + 8*z - 8. Determine t, given that g(t) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.87 and -24311384.57015.\nAnswer: -24311387.44015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/2185 and -51\/95.\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -f**2 - f. Let x be g(3). Let k(t) = -t**3 - 7*t**2 - 4*t + 6. Let v be k(-6). Let w = v - x. Is w a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 + 3 + (-5 - 84\/(-14)). Let k(s) = 22*s**2 + s. Let o be k(-1). Calculate the greatest common factor of n and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2*r. Let y(m) = -12*m - 1. Let h(a) = -28*v(a) + 4*y(a). Let f(n) = n**3 + 6*n**2 - 2*n - 7. Let u be f(-6). Is 6 a factor of h(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110 + 97. Let s be (222\/5)\/(j\/(-65)) - 3. Let h = s + -109. Is h a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3 + sqrt(275) + -3 + sqrt(275)) + (2*sqrt(275)*2 - (2 + ((-2*sqrt(275))**2 - sqrt(275)))) + -3)*2.\nAnswer: -2138 - 70*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 813144614 to the nearest integer?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 - (-14)\/(-4))*150\/(-9). Suppose d = -6*c + 43. Solve 3*x + c*n + 7 = -2, 2*x = 3*n - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.07774949 take away -5.381?\nAnswer: 5.30325051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, 24, -2 in descending order.\nAnswer: 24, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17119699 divided by -4?\nAnswer: 17119699\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9786, 19572, 29358, 39144, 48930, 58716?\n\"Answer: 9786*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -11 - -8) + -18?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5981 - -6226. Is b bigger than 48?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 35.61594g?\nAnswer: 35615940","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3481781, 6963561, 10445341, 13927121?\nAnswer: 17408901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**2 - 4*m + 1. Let z be d(4). What are the prime factors of 2 + (4*3)\/z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*w + 148*w + 128*w.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q**3 + 0*q**3 + 4*q**3)*(0*q + 2*q - 4*q + (2 - 4 + 4)*(0*q + 3*q + q)) to the form d*q**4 + j + x*q + f*q**2 + y*q**3 and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 9:28 PM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(((-27)\/5)\/(-9)*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 69710 + 0?\nAnswer: 69710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -645, -851, -1399, -2457, -4193, -6775, -10371?\n\"Answer: -28*q**3 - 3*q**2 - q - 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9 (b) -11\/2 (c) 523\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1321949307 to the power of 1\/2, to the nearest integer?\nAnswer: 36359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/2)*y**(-6))\/(y*y*(y\/y**0)\/y*y*y**(-2\/15))*((y*y*y**(-8))\/y*y**(1\/4)\/y)\/(y**(5\/4)*y**(-9)) assuming y is positive.\nAnswer: y**(-281\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 26428534*l**2 - 1513236*l + 19911. Let z(h) = 6637*h**2 - 380*h + 5. Calculate -5*v(q) + 19911*z(q).\nAnswer: 6637*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -66, 4, -0.5, 3, 0.13, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -572 + 302. Let p = c + 321. Calculate the highest common divisor of 17 and p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100880691 a multiple of 415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 1. Let c(f) = -4*f + 32. Let t(k) = -c(k) + 24*w(k). Let g be t(4). Do g and 7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z - 2. Let v be d(-2). Suppose 66 = 3*p + l, -3*p = -v*l - 5 - 61. Calculate the least common multiple of p and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139109 greater than or equal to -2\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) - 774\/(-14). Let c be 3\/(-6)*(0 + -10). What is the greatest common factor of w and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -43936*h**3 - 43939*h**3 + 0*h**2 + 149 + 87871*h**3 - 2*h + 0*h**2 as v + r*h + i*h**3 + l*h**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 40 + 9*l**2 - l + 4*l + 14*l - 19*l wrt l.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 2:29 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1106 + 1447. What is the highest common factor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nery when four letters picked without replacement from enndedydreeedydere?\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150785 is divided by 242?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 527 = 7*i, 4*s + 4*i + 461 = 5*s. Calculate the greatest common factor of 3007 and s.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 540260?\nAnswer: 2, 5, 7, 17, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1640.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssp when three letters picked without replacement from psppspppp?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than 7\/3273590?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 127*y - 133*y + 630. Suppose 4*t = t - 4*h + 63, 5*t - y = -5*h. Calculate the smallest common multiple of 42 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -8*m**2\/9 - 106*m\/9 + 28\/3 = 0.\nAnswer: -14, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.8 + -0.6. Let w = -27 - -32. Let t = 10 - w. Which is the closest to t? (a) y (b) 1\/3 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzbzzbz. Give prob of sequence bz.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36) - 1*sqrt(36))\/sqrt(12)*-3 + (sqrt(300) - (sqrt(300) + 1)) + 2 - (1 + ((sqrt(75) - (sqrt(75) + 2)) + sqrt(75) + sqrt(75) + 0)*5)**2.\nAnswer: -7580 + 900*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4431? (a) 158 (b) -4 (c) 2\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -448 + 449. Which is the smallest value? (a) -9 (b) 5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -60 - -146. What are the prime factors of l?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m + 4*b - 20, 0*b + 4 = 4*m - 4*b. Suppose -4*t + m*f + 9 = 0, 3*t + 2*f - 4 = -10. Suppose 2*g + 0*h - 4*h - 226 = t, -4*h = 0. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 134.6 + -133.6. Let l be (3 + -12)*(-1)\/3. Let s = 0.2 - 0.16. Sort j, l, s.\nAnswer: s, j, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01623 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 60*n + 2887. Determine m(-92).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/5 (b) -8 (c) 0.1 (d) -2\/7 (e) 0.0539 (f) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-270)\/(-6))\/((-78)\/26)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24 + 16)*1 + 218\/27.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6c5b7 (base 13) in base 9?\nAnswer: -332535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 600\/(-175)*224\/48?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(-4)\/z)\/z)\/z)\/z*z\/(((z**(-2\/7)\/z*z)\/z)\/z*z))**(-9) assuming z is positive.\nAnswer: z**(360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 t when two letters picked without replacement from spsdwwwtwdd.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -285 divided by 13743.\nAnswer: -95\/4581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -219.9787592 take away 5?\nAnswer: -224.9787592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the first derivative of -z**4\/4 + 4*z**3\/3 - z**2\/2 + 12*z - 1486. What is l(5)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3844)\/(-60) + 2\/(-5). Let u = p + -63. Let 0*w**2 + 2\/3*w**3 + 0 + u*w**4 + 0*w = 0. Calculate w.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8\/3855099?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105085558.\nAnswer: 2, 431, 121909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 166708846.\nAnswer: 2, 83354423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**2 - 8*j**3 + 5*j**3 - j + 6 + 4*j**3 + 0*j**3. Let h be t(-4). Find the third derivative of 7*d - h*d**2 - 7*d + 6*d**5 + 17*d**2 wrt d.\nAnswer: 360*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 667*c**2*w**3*z - 13*c**2*w*z**3 + c**2*z**3 - 54122*w**3*z**3 - 456*w**2*z + 1393*z**2 wrt w?\nAnswer: 4002*c**2*z - 324732*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*q + d = 21, -d = q - 9. Solve 1 = -q*i + 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.5, -203, 9.9, 114, -6 in descending order.\nAnswer: 114, 9.9, -0.5, -1, -6, -203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7232?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2. Let a(x) = 1069931*x**2. Calculate a(c(s)).\nAnswer: 1069931*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.151 (b) -2 (c) -950\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2 = 8. Let i = t - -2. Solve -3*k + 0*k - 14 = y, -i*k - 22 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 3*d - 13. Suppose -p - 5 = -4. Let q be (-1 - -9) + 3 + p. What is the tens digit of j(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -41 - -47. Suppose 5*v + 22 = 72. What is the remainder when v is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -9*z**2 - 5*z - 7. Let h(y) = 4*y**2 + 2*y + 3. Let d(r) = 7*h(r) + 3*u(r). Factor d(p).\nAnswer: p*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -720 = 38*u - 89*u + 33*u for u.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1800 + -1807 + (4 - -44)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 9900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand y**2 + 0*y**2 - 2*y**2 - 4*y**4 + (-4*y + 3*y + 2*y)*(-332*y**3 - 78*y**3 + 55*y**3).\nAnswer: -359*y**4 - y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 26 = -28. Solve s*d = 4*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2006\/(-187) + 11 + -1 + (-1116)\/462.\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18010, 3\/5, 0 in increasing order.\nAnswer: 0, 3\/5, 18010","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -202, -185, -152, -97, -14?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -5*x - 19. Let y(c) = -2*c - 9. Calculate -3*m(b) + 7*y(b).\nAnswer: b - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 - i + 4. Let a(r) = 1. Suppose 0*z - 20 = -4*z. Suppose -z + 35 = -5*c. Give c*a(p) + 2*k(p).\nAnswer: 2*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 148\/28 + -3 + -2. Let a = -0.2 - 0.8. Let b = 0 + 0.2. What is the nearest to a in -1\/3, q, b?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -1.6 (b) -0.22 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.464101945 rounded to two decimal places?\nAnswer: -1.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36 minus -9.62903?\nAnswer: 9.26903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the third derivative of a**7\/5040 + a**6\/360 - a**5\/30 + a**2. Let i(y) be the third derivative of z(y). Determine i(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ub when two letters picked without replacement from bbbbbbbububbb?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyywywy. What is prob of picking 1 y and 2 w?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j + 2*a - 1093, 4*j + 2*a - 239 - 635 = 0. Calculate the remainder when j is divided by 45.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/15*(-195)\/(-2))\/(12\/(-8))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2332620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.0337 + -2.3537. Which is the nearest to 0? (a) -2\/15 (b) -1 (c) 3 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dgggdggdgdvgd. What is prob of picking 1 g and 1 v?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**5 - 3*m**5 - 6*m**5 + (m**4 + 2*m - 2*m)*(3*m - 4*m + 3*m))*(2 - 4 + 3).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 188723 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 3*f + 12 = 0. Let h(p) be the first derivative of -p**2 - 3 + 1\/4*p**f + 0*p + 0*p**3. Find the second derivative of h(b) wrt b.\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -569978, -569978, -569980, -569984, -569990, -569998?\n\"Answer: -v**2 + 3*v - 569980","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8383 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -19959 or 0.0504?\nAnswer: -19959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t + 50 = 230. Solve 6*f = 10*f - t*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 36*m - m**3 - 79*m + 11*m**2 - 66 + 63*m. Let g be l(13). Is -143 at least as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 3*b - 46. Let t be o(17). Put t, 2, 0, 21 in descending order.\nAnswer: 21, t, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 11:48 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6497528989?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 2432443.8 months?\nAnswer: 202.70365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, -5, 0.94, -4, 505.\nAnswer: -5, -4, 2\/9, 0.94, 505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-10)\/(-50)*-5)\/((-2)\/10). Suppose n*j - 17748 = -24*j. What are the prime factors of j?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**2 - 1748065140*w + 152786586684160980.\nAnswer: 5*(w - 174806514)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 121*v**3 - 2*v**2 - 258*v + 260. Give d(1).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6) + (-4)\/(-3). Suppose 2*t + 16 = 3*b - 0*t, -s*b + t + 9 = 0. Suppose d = -b*d + 36. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 3*u = 2*a - 180, -235 = -5*u - 5*a. Calculate the remainder when 85 is divided by u.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -222 + 329. What are the prime factors of t?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9625 by -41.\nAnswer: 9625\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 PM and 12:50 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -6, 130 = -2*r - 3*v - 293. Let q = r + 350. Let p be q\/6*(-2 + 602). Round p to the nearest 1000.\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -649381 divided by 2?\nAnswer: -649381\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 4 + (0 - 2).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6217963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 4, -4, 3, -10 in ascending order.\nAnswer: -10, -4, 3, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 72362796 to the power of 1\/2, to the nearest integer?\nAnswer: 8507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75 - 21*y + 164 - 89.\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -9, 2, -2 in increasing order.\nAnswer: -9, -2, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 + 66*g + 311. Calculate the lowest common multiple of 8 and n(-61).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 4*a = -j + 619, 3*a + 520 = 4*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttt. What is prob of sequence tt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, -7\/2038, -7, 18\/17?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c**5 - c**4 - 2*c**3 - 2*c**2 + 2*c + 1. Let n(a) = -56*a**5 + 276*a**4 + 1287*a**3 - 324*a**2 + 13*a - 4. Let p(d) = -n(d) - 4*u(d). Factor p(t).\nAnswer: t*(t - 7)*(t + 3)*(8*t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/7 (b) -28 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 22*m**2 - 39*m - 67. Let a be x(20). Is a equal to -47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 1:07 PM?\nAnswer: 8:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (18\/(-12))\/(-2*(-5)\/(-40)). Let u = 0 - 0. Suppose u*r - 4*r = -5*b - 143, -52 = -r - 2*b. What is the greatest common divisor of r and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from rrttretttbr?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 936411 is divided by 3728.\nAnswer: 683","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s = -t - 6, -1923*s + 6 = t - 1920*s for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 80*m + 154. Calculate x(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -76959 (base 11) to base 3\nAnswer: -12200010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 62 = -4*l - 2*f, 2*l + 61 = -5*f. Suppose 0 = 7*q + 94 - 80. Let h be (-3)\/l*3*(2 - q). Solve -7 + h = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 825 - 706. What is the third biggest value in 1\/9, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*(-8)\/(-88)*-2\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 122272 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(8)\/sqrt(36) - sqrt(320)\/sqrt(10)).\nAnswer: -11*sqrt(2)\/3 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -83.7 - -81. Let k = z - -2.69483. Round k to four decimal places.\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*f**(-1)*f*f)**7\/(f**(-6)*f*f*f**(-1)))**(15\/7))**(13\/2) assuming f is positive.\nAnswer: f**(3705\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*v**2 + 8*v**2 + 91 + 42*v**3 - 14*v**2 - v wrt v?\nAnswer: 126*v**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.469352 years in months?\nAnswer: 17.632224","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oioicpccis. Give prob of sequence cps.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -8)*99\/(-12). Let y = 28 + o. Let a be -5 + (1 - -3 - 2). Are a and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 139.6848348ns to weeks.\nAnswer: 0.000000000000230960375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/160 and 101\/8.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 q, and 1 k when three letters picked without replacement from {e: 3, g: 1, k: 1, q: 1, t: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 2*r**2 + 5*r - 14. Let n(w) = w**3 + 43*w**2 + 40*w - 90. Let c be n(-42). Calculate a(c).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 164 - 160. Suppose a + 60 = 5*a - 2*t, -60 = -x*a - t. Calculate the highest common divisor of a and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 157\/2 + -77. Is m greater than or equal to -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(9\/10))**(-29) assuming m is positive.\nAnswer: m**(-261\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 9) in base 14?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 579 - 462. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/5 (b) 59 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 k when three letters picked without replacement from ubbkuk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17615213\/892 + 19748. Let u = l - 7621\/11596. Calculate the common denominator of u and 1\/10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 v when four letters picked without replacement from {o: 14, v: 5}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1025 = -4*v + 3*j, 0*j - 3*j = -v + 254. Suppose -5*q + v = -43. Suppose q = h - 22. 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 88 (base 15) in base 11?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and -114243.\nAnswer: -114243.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 78\/169*((-10)\/(-18))\/(25\/30)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 5 = 4*m - 0, 4*m + 1 = -g. Suppose -h = g*d + 12, 4*d - 2*h = -d - 20. Which is smaller: d or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 477 = -5*s, 2*p - 3*p = 4*s - 381. Suppose 5*d - s - 299 = 0. List the prime factors of d.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35268 = -2*h - 3*w - 35275, 4*w = h + 31 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 g, and 1 x when three letters picked without replacement from {b: 1, g: 1, s: 1, x: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -121 divided by -26901.\nAnswer: 121\/26901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17271 and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7292 to the power of 1\/2, to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 9288, 15\/4?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 753547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**5\/5 + 8*c**4\/5 - 8*c**3\/5 - 32*c**2\/5 = 0.\nAnswer: -4, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, c: 2, t: 1, j: 1, w: 2, b: 1}. What is prob of sequence cbct?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 + 37*j**2 - 60*j - 85. Determine f(35).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 907 is divided by 681.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -393156 by 4.\nAnswer: -98289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + j - 1872 + 11915, 0 = -3*z - 2*j + 7546. Suppose 8*c - z - 544 = 0. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 15 and 1481395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 - 13. Let f = d + -12. Suppose -24*p + 4*y - 8 = -23*p, 29 = 5*p + 3*y. Which is the nearest to -1? (a) 2\/3 (b) f (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6139194 divided by 2\nAnswer: 3069597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 - 3*t**2 + 2*t + 4. Let m be ((-17)\/51)\/(2*2\/48). Give x(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7043\/37 <= 189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15913 (base 10) in base 2?\nAnswer: 11111000101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11561019569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*(-67 + 63 + (4 - -2)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15206 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -56\/3*b - 4\/3*b**2 + 0 = 0. Calculate b.\nAnswer: -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + v - 57 = 0, 5*v - 2 = 2*w + 13. Which is the third smallest value? (a) -2\/17 (b) 5 (c) w (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -2*d**2 + 444*d - 5434 = 0.\nAnswer: 13, 209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 - -23. Let r be (t\/(-5))\/((-1)\/5). What is the second derivative of r*x + 4*x**4 + 2*x - 3*x wrt x?\nAnswer: 48*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 7, 22, 11, -0.1 in ascending order.\nAnswer: -0.1, 4\/3, 7, 11, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**4 + 6*p**3 - 6*p**3 + (1 - 1 + 2*p**2)*(1024*p - 1024*p - 1104*p**2).\nAnswer: -2202*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/33*(-2 - -1)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -h**9\/5040 + h**8\/560 - h**7\/210 + h**4\/24 + h**2. Let p(n) be the second derivative of c(n). Factor p(j).\nAnswer: -3*j**2*(j - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9669 (base 16) in base 7?\nAnswer: -220155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 2.5. Let g = -0.0077 + -0.0223. Which is the biggest value? (a) -5 (b) p (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9368 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -13066 divided by -1?\nAnswer: 13066","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4162960 by 48976.\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xbgk when four letters picked without replacement from bbgggbxgvkkkkk?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c + 25*c = 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -2\/9, -0.5, -5.\nAnswer: -5, -0.5, -2\/9, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1996 less than -221?\nAnswer: -220.8004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - 39*g - 609. Let s be b(51). Let x(m) = m + 7. Let n be x(-4). Find the second derivative of 33*y + n - s - 16*y**2 wrt y.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1390 and 58?\nAnswer: -80620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1449353364 divided by -19\nAnswer: 76281756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 48 = -6*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 12*x + 24. Let t be a(-1). What is the greatest common divisor of 24 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00005625 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 + 88 - (-2 - 0). What is the greatest common divisor of 8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 472, 522, 588, 676, 792, 942?\n\"Answer: h**3 + 2*h**2 + 37*h + 432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 67051079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2184691 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/2378240 and -61\/320.\nAnswer: 2378240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-130)\/(-18) + (-10)\/45. Suppose -4 = s*b - 9*b. 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 13, what is -172 - 48?\nAnswer: -1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, -4, 1, -3 in ascending order.\nAnswer: -4, -3, 1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13136 + 13134. Let x(t) = t**2 + 3*t + 10. Calculate x(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, 201, -5 in increasing order.\nAnswer: -95, -5, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -80410*l**3 + 440*l**2 + 440*l + 440. Let q(v) = -547*v**3 + 3*v**2 + 3*v + 3. What is -3*f(r) + 440*q(r)?\nAnswer: 550*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31768336 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: Evaluate (-9)\/((-9)\/2)*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -100*h - 184. Let a be c(-4). Let w = 82 + -55. What is the highest common factor of a and w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1 + 18\/(-162) + -3 + 92\/18. Let k = -1.5 + 3. Let o = 1 - k. Put 0, o, -2, n in increasing order.\nAnswer: -2, o, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-44)\/(-78) + (-1)\/3. Let b = -19\/26 + d. Put -5, 3, b in descending order.\nAnswer: 3, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b*(b**(-5)\/b)\/b*b)\/(b\/b**(1\/2))*(b**17\/b)\/(b\/(b\/(b*b*b**5*b*b)*b*b)) assuming b is positive.\nAnswer: b**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhnldllhnn. Give prob of picking 1 n and 3 l.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -45*v**3 - 21*v**2 - 143*v - 35. Is r(-12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -0.0512?\nAnswer: 2.0512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/(2\/(-2)*2). Let v be 1 + 1 + f + 167. Suppose -o + 2*h = -26, -o - 5*h + v = 3*o. Is 18 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/2)\/(3\/30). Let k be ((-308)\/(-12))\/(q\/3). Let j = 15 + k. What is the third biggest value in j, -2, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*x + 7 = 0, 2*x + 5 = -4*v + 3. Let n(i) = 17 + 16*i**2 + i**2 - i - 5 + 3*i**3 - 4*i**3. Let t be n(17). Put t, v, -4 in descending order.\nAnswer: v, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 661216 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 1.78\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1212211221111 (base 3) to base 2\nAnswer: -11110100010110101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (30 + -45 - (-11 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 224 - 221. Solve -3*x = -w + 18, -3*x + 6*x = o*w - 24 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3402\/(-35))\/54*20\/(-84).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 - 3*r**2 + 9*r + 7. Let k be v(-7). Suppose 2*x - 50 = k. Suppose u = -4*u + x. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -821 (base 9) in base 16?\nAnswer: -29b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 - 7*c**2 + 6*c. Let i = 12 + -8. Let h be 10 - 1\/1*i. Suppose -7*b + 8*b = h. Give q(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 AM and 12:30 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20507944 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59036198 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 13333 or 12284?\nAnswer: 13333","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 20\/(-50) + (-16)\/(-90). Let u = 2054 + -2052. Sort -1, u, f, -26.\nAnswer: -26, -1, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y. Let z(n) = n - 1. Let r(o) = 3*o - 2. Let q(s) = -3*r(s) + 6*z(s). Determine f(q(m)).\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -83423*x. Let i(s) = -12*s + 2. Determine i(y(k)).\nAnswer: 1001076*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 - 2*a**2 - 5*a - 2. Let z = 8756 - 8734. What is the remainder when i(-3) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1272081*f**2*y + 4*f**2 + 2*f - 39*y - 38959 wrt f?\nAnswer: 2544162*f*y + 8*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 2*q**2 + 30*q - 8. Determine y(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3421*b**5 + 41*b**4 + 12*b**3 + 42900475*b**2?\nAnswer: -205260*b**2 + 984*b + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - b - 67 = -8*q, 5*b = -q + 3. Let o = 15 - q. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*q + 5*q = 18, -3*f + 4*q + 46 = 0. Let x = f - 3. Does 6 divide (-4)\/(x + 1)*-36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + 984311?\nAnswer: 984384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 697293 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/6*(-27)\/18. Let x be z - -2 - 4997*-1. What is x rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 11) + 7 + -5 - 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**3 + 3*l**2 - 35*l - 101. What is the remainder when 1819 is divided by v(-5)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5674471?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 179, 2\/11, 4, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4054?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -3. Let y be (w\/1)\/2 + -1. Is y greater than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1\/2))**42\/(v\/v**(-2)*v)**(-1\/48))**6)**17 assuming v is positive.\nAnswer: v**(-4267\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 + -16. Suppose m*t = -0*t + 16. Does 6 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, w: 7}. What is prob of sequence wwww?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 2*l + 6 = 0, 4*d + 1315*l - 1313*l + 6 = 0. Solve -2\/11*s**4 + 0*s**2 + 0 - 2\/11*s**3 + d*s = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 5*k**3 + k**2 + 11*k. Let c(a) = a**3 - a**2 + 2*a. Give 2*c(o) - u(o).\nAnswer: -3*o**3 - 3*o**2 - 7*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -6*z - 170. Let l(b) = b**2 + b - 1. Let t be l(2). Let d(x) = 0*x - 2*x - 5*x + t*x - x**2. Let f(h) = 4*h**2 + 7*h. Calculate z*d(q) - 2*f(q).\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 729 + -424. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 11*t**2 - 175*t + 14. Let q(d) = 27*d**2 - 442*d + 30. Let u(z) = -5*g(z) + 2*q(z). Suppose 2 - 26 = 3*h. Calculate u(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 7*h**2\/2 + 4*h - 1. Suppose -63 = 67*q - 18*q + 84. What is d(q)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*p**3 + 2*p**3 - 2*p**3 - 7*p**2 + 2*p**3 + 7*p**2 + (1 + 3 - 3)*(2*p**3 - 3*p**3 + 2*p**3) + (6*p**2 - 2*p**2 - 2*p**2)*(4*p + 0*p - p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 184\/3. Let d be (-1)\/(-2)*-6 + 2. Let o be 20\/12 - (d - -4). What is the closest to 1 in o, 0.5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1744367 - 1736920.23. Let b = -7404 + l. Let v = b + -43. What is v rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83 + -74. Solve v*j = 4*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z. Let o(w) = w**2 - 6*w + 19. Let j be o(0). Let f(u) = -7*u**2 - u**2 + j*u**2. What is f(a(k))?\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, t: 1, o: 1, w: 1, s: 4}. Give prob of sequence kst.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 77963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10120210011 (base 3) to base 9\nAnswer: 116704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0*p**2 + p**2 - 3*p**2)*(5*p + 2 - 2) + 55*p**3 - 409*p + 409*p)*(-6*p + 10 + 4*p - 33) in the form v*p**2 + w + g*p**3 + s*p + t*p**4 and give g.\nAnswer: -1035","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o + 2. Let m be l(-2). Suppose 2\/3*i**3 + 1\/3*i**m + 1\/3*i**2 + 0 + 0*i = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/35*-2)\/(109\/(-1090))?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9958, -9972, -9990, -10012, -10038?\nAnswer: -10068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -21*k**3 + k. Let c(o) = -32*o**3 + 2*o. Give 5*c(q) - 8*z(q).\nAnswer: 8*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6\/37 - -247\/74. Which is bigger: 4 or p?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -0*i. Let o(j) be the second derivative of j**4\/12 + j**3\/6 - 4*j**2 - 48*j. Give o(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54747243 by -18243.\nAnswer: 3001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -734 or -736?\nAnswer: -734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -7*q + 2*b, -q + 3*b = -19 + 10 + 13 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 324*q**2 + 10026*q - 568. What is i(-31)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63945.\nAnswer: 3, 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -17*r - 32. Determine n(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -20. Are -3 and r equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002066 to six decimal places.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 + u - 4. Let w be t(-3). Find the common denominator of (885\/(-6))\/5 - 0 and w\/(-8) - (-82)\/(-12).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 8*p + 7)*(3*p - p + 3*p) - 1 - p**2 + 1.\nAnswer: -41*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 8690903264?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6614183839?\nAnswer: 31, 2531, 84299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3444134 (base 5) to base 13\nAnswer: -22546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/6)\/((-10)\/195). Suppose -4*w = -3*d - 24 + 1, w + 3*d = -u. Suppose v = -w*v + 33. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -640165174*m**6 + 261999236*m**2?\nAnswer: -76819820880*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -14 in 4, 0.02, -5, 0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of (93*(244 - -8) + 3)\/(6\/8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 231 and 226331798?\nAnswer: 678995394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(3\/5))**(17\/5)*c**(6\/5)\/c*c**(-7) assuming c is positive.\nAnswer: c**(-136\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 7709, -39, 1\/19?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.3801 + -0.189. What is a rounded to two dps?\nAnswer: 1.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1467)\/(-6) - (-81)\/(-54) - -3. Solve 4*x + 78*x = r for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 415 + -414. Solve -k = -2*x + 5*x + 5, 3*k + 2*x + j = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2354*((-5)\/(-7) + (-78)\/(-273))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 187893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)*-2)\/sqrt(9))\/(sqrt(432)\/sqrt(6)).\nAnswer: -2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1, 0.057, -0.2?\nAnswer: 0.057","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -6*c**2 - 20*c - 15. Let w(k) = -k**2 - 4*k - 3. Let g(h) = -11*w(h) + 2*y(h). Let v(m) = 3*m - 4. Let n be v(3). Let b = 10 - n. Determine g(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -2*w**2 - 7*w + 2. Let i be c(0). Suppose -4*g = i*r - 1664 + 90, -3*r = 15. Does 22 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2115 and 149490315.\nAnswer: 2115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 177926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -77, -152, -227?\nAnswer: -302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14145 = -204*o + 557*o - 4261 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -92 + 93. Let q(h) = 2*h**2. Let r(b) = -5*b**2 + 3. Let s(f) = o*r(f) + 3*q(f). Give s(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 36, 154, 358, 654, 1048, 1546?\n\"Answer: m**3 + 37*m**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, v: 2, f: 4, o: 1}. What is prob of sequence kokf?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.33 and 142.32716104.\nAnswer: 141.99716104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3 (b) -2\/37 (c) 8 (d) -13 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -4320609, -8641233, -12961859, -17282487, -21603117, -25923749, -30244383?\n\"Answer: -r**2 - 4320621*r + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/6 + 20\/(-6). Let g be 27\/(-6)*r\/6. Suppose -g*x = -2 - 16. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 - 6 - 4 + 0 - c**2. Let m(p) = -1. Let i(o) = -3*a(o) + 30*m(o). Let z(r) = 3*r. Calculate z(i(d)).\nAnswer: 18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90 + 414 = -36*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x = 2*w - 12, -2*x - 8 = -36*w + 42*w for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282310799.\nAnswer: 282310799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*y = 25*y + 18. What is the nearest to -0.1 in 3, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 72 + -69. Let l(j) = -2*j + 15. Let z be l(8). Sort t, -2, -3, z.\nAnswer: -3, -2, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 9. Let z be c(-6). Let o(f) = -4*f - 4. Suppose 3 = k + 1. Let g(d) = -3 - k*d + 4 + 3*d. Give z*g(i) - o(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 356429.\nAnswer: 101, 3529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 59, -0.3, 2, 0.3 in decreasing order.\nAnswer: 59, 2, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 0*g**2 + 0*g**2)*(-5*g**2 + 7*g**3 + 5*g**2) + 0*g**5 - 3*g**5 + 11*g**5.\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10702924 - 7302324. Round a to the nearest ten thousand.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/((-8)\/(-12) + 1\/(-3)). Suppose s = -3*j - 3*f, -3*j = -j + f - 1. Solve -7*l = -5*c - j*l + 10, 2*c = -2*l - 16 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001 - -101?\nAnswer: -1001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 - 75398*v - 7989379.\nAnswer: -(v + 106)*(v + 301486)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 1\/7 (c) -42\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*2*(0 + sqrt(612) + 3 - (sqrt(612) + 2*sqrt(612) + -5)))**2 + 4.\nAnswer: -768*sqrt(17) + 10052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 54813564361 and -0.06.\nAnswer: 54813564360.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2. Let k(g) = -2*g**2 - 427*g - 9. Determine k(p(b)).\nAnswer: -2*b**4 - 427*b**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1470386.\nAnswer: 2, 735193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - n + 5. Let z be w(-4). List the prime factors of (-1 - z)*(-1 - -4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164698 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 46*v + 1353. What is the remainder when 283 is divided by u(-29)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6498879 a multiple of 512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n + 2. Let i(u) = -1. Let b(j) = 2*i(j) + t(j). Let p(m) be the second derivative of m**4\/12 + m. Give b(p(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -120222002 (base 3) to base 5\nAnswer: -333024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24\/71903 not equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 11:46 PM?\nAnswer: 6:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.8998 - -0.7998. Which is the closest to f? (a) 46 (b) 3\/7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50.20338kg to nanograms.\nAnswer: 50203380000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456 is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/7 (b) -0.5 (c) 3 (d) 1\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**2 + 1552*s - 88044 = 0 for s.\nAnswer: 69, 319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 5 = -4*d - d, 20 = -4*b. Let c(l) = -l**2 - l + 1. Let i be c(-2). Is (i\/d)\/(2\/(-88)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 63453 - -5?\nAnswer: 63460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 46121690 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16912 and 21140?\nAnswer: 84560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*((sqrt(99) - (sqrt(99) - sqrt(99)*1)) + sqrt(99)) + -6*sqrt(99)*-2 + sqrt(99))\/(2*1*sqrt(900)).\nAnswer: 17*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10 = -0. Suppose t*p - s - 11 = 0, p = -3*s - s + 1. Suppose p*z - 3599975 = -4*m, -4*z + 3 = 23. Round m to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*p**2 - 43*p - p**2 + 92*p**2.\nAnswer: 72*p**2 - 43*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -3, 22 in descending order.\nAnswer: 22, 5, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 11*q**2 - 14*q - 22. Let c be t(-10). Let i be 210\/c + 8\/(-12). Let j be (-12)\/(-8)*(-8)\/(-6). Solve d = -3*w - i, -d + w + 7 = -j*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-130)\/(-14) + (-4)\/14. Let k be 21\/2 + d\/(-18). Let p be 2*(-1 + 14\/4). Solve 7 = 2*o - c, -p*o + 3*c + 7 + k = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*6.61.\nAnswer: 0.0661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/((-9)\/(-15))*1)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -2*l + 4, 8*t = 4*t - 5*l + 16. What is the hundreds digit of t\/(-14)*(-15 - 1112)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 4*s - 4*s + 33)*(4*s - 6*s - 9*s).\nAnswer: -22*s**2 - 363*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/121, 1\/3, -2 in descending order.\nAnswer: 1\/3, -3\/121, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (80\/35)\/(-8)*(-56)\/2. Which is smaller: -6 or q?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 614 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 13 + 6 = -q, -3*q - 4*y = -23 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6544 and 2144?\nAnswer: 876896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**7\/945 + o**6\/540 + o**5\/90 - 11*o**4\/12 + 3*o**2. Let i(u) be the second derivative of g(u). Solve i(x) = 0 for x.\nAnswer: -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1119.99969s to days.\nAnswer: 0.012962959375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 5 - 13. Suppose v*b + 114 = 3*q + q, -4*q + 94 = 2*b. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/17021160 and -1\/25459.\nAnswer: 119148120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 598 - 1207 + 605 - 26*m**2 in the form d + v*m**2 + o*m and give v.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -314982.89\nAnswer: 31498.289","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*c = 63 + 23 + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 1:29 AM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 8:25 AM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/(-2)*(-28 + 6). Suppose -v = 61*h - 66*h. What is the smallest common multiple of h and 230?\nAnswer: 2530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -58532 - -58532.00026349. What is k rounded to 6 decimal places?\nAnswer: 0.000263","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 12:59 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3c5 (base 14) to base 9\nAnswer: -1035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 4939 (b) -37\/3 (c) -1338\/5 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -276120 + -152?\nAnswer: -276272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3, 681, -25637.\nAnswer: -25637, -3, 4, 681","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -87 - -89. What is the least common multiple of z and 3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 11, -19, -0.1, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -112783718, -225567426, -338351134, -451134842, -563918550?\n\"Answer: -112783708*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 932?\nAnswer: -932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -100.617 + 0.017. Let l = g + 15.6. Let q = l - -84.99999735. What is q rounded to 7 dps?\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1\/3, -1\/4, -1\/10 in decreasing order.\nAnswer: 0, -1\/10, -1\/4, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2556 smaller than 1\/2500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - s + 5)*(-2 + 0 + 3)*(-s**2 + 2*s - 2*s) + 13*s**3 + 10*s**3 - 9*s**3.\nAnswer: 15*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 2:31 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 604073284 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 20*v**2 + 35*v + 6. Let y(t) = -7*t**2 - 12*t - 2. Calculate 6*s(h) + 17*y(h).\nAnswer: h**2 + 6*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -94, 5 in ascending order.\nAnswer: -94, -7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -12, -37, -82, -153, -256, -397, -582?\nAnswer: -817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*2\/(-8)*(1 + 2). Suppose 0 = -q*w + 3282274 + 3017726. Round w to the nearest 100000.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 2*q**3\/3 + 9*q**2\/2 - 6*q + 1. Calculate the lowest common multiple of 4 and r(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*q**3 - 87*q**3 - 17*q**2 + 17*q**2 - 93*q**3 + 266*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in -2, 0.58, -4, -14\/11?\nAnswer: 0.58","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**3 + c - 1. Suppose 3*p + 2 = 5*p. Let t be g(p). What is the greatest common divisor of t and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1543975038 to the nearest integer?\nAnswer: 39293","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3191\/5 - -635. Let i be -114*78\/(-16) + -1. Let s = 549 - i. What is the common denominator of s and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, r: 1, k: 7}. What is prob of sequence rk?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/3)*d\/(d**(2\/3)*d))**(-49) assuming d is positive.\nAnswer: d**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 + (-6 + (30 - 16) - (3 + 2)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = 4*o - 99, 5*i = 5*o - 0*i - 120. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-65*84\/(-560))\/(-2*(-12)\/256).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6284334 and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*p - 24. Suppose -3 = -p*v + 65. Find the common denominator of (v - 19) + 111\/20 and 23\/18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 347, 2, -3, -5, 0.12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 + 68. Let f = -83 - -93. Suppose -4*b = -5*u + n, 2*u - u - b = f. Calculate the remainder when u is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 147*b - 1 - 4*b**2 + 3*b**2 - 152*b as s*b + l + c*b**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*a - 20 - 24 + 37)*(a - 2 + 2) in the form l + r*a**2 + u*a and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 6029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -2) + -6 + (-14 - -12) + 20.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5\/7 - 1273*i**4\/7 + 44243*i**3\/7 + 214751*i**2 + 10307198*i\/7 + 1264208 = 0. What is i?\nAnswer: -1306, -11, -1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*o = 387 - 173 - 177 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = -15*f + 2800. What is f rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 74290, 594966, 2008228, 4760368, 9297678, 16066450, 25512976?\nAnswer: 38083548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20208 and 144.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m + 1. Let t be d(3). Suppose 2 = t*l - 3*l. Find the second derivative of 0*s**l - s**2 + 5*s - 3*s wrt s.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 10 = 2*v, 3*v = -3*t - v + 20. Suppose 12 = -u - t. Let r = u - -23. Is 7 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145488486 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/65 + 3\/26. Let k(m) be the second derivative of -1\/6*m**4 + 0 - 2*m + 0*m**3 + 1\/15*m**6 + 1\/21*m**7 - w*m**5 + 0*m**2. Let k(o) = 0. What is o?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:51 AM and 8:14 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(-1) - ((-432)\/168 + (-6)\/14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, o: 1, e: 3, h: 4, a: 2}. What is prob of sequence aeea?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-10))\/(24\/(-16))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, -6.144, -49\/4?\nAnswer: -49\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -24 - -14. Let n = s - -10. Let u(p) = -6*p - 31. Let j be u(-5). Which is the closest to j? (a) n (b) -0.4 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90\/(-15) + 1\/((-2)\/(-6410)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-13)\/11 + (-4 - -5). Let h = 10.1 + -10. What is the nearest to h in u, 4, -7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.09 (b) 0.2 (c) 1\/6 (d) 2111\/5 (e) -2 (f) 0.1 (g) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 4*x**3 - 6*x - 4. Let m be a(-1). Let o = -17 + 16.9. What is the nearest to 1 in 5, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 518600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*g - 19 = -0*p, p - 7 = g. Find the third derivative of 6*c**2 - p*c**2 - 6*c**3 + c**3 - 2*c**2 wrt c.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17617*c**2 - 70*c**3 + 16661*c**2 - 90*c**3 wrt c?\nAnswer: -960","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 - 40. What is the tens digit of -1 + 10\/l - (-7073)\/33?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 202200 is divided by 67319.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 180268711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8 (base 15) to base 3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-57)\/(-21) - (-5)\/(-70)*-4 - -90. Which is smaller: 375\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(9 - 12) - -3.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {x: 3, z: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -8*s**2 + 69*s - 3. Give o(7).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*c + 54 = -27*c. Solve c*s = -9*s + 54 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.9 less than 1?\nAnswer: -72.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -47, -107, -191, -299?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 213*g - 214*g + 4*m - 27*m + 526, -g - 4*m = -89 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -10*c + 50*c - 21*c - 20*c. Suppose 5*p = 5, -4*p + 3 - 7 = -4*z. Let o(g) = 3*g**z + 0*g**2 - 2*g**2. What is o(m(v))?\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - 3*r + 1. Suppose -m + x - 20 = 27, 0 = -4*m - 5*x - 170. Let g be 6\/(-3 - m\/10). Give b(g).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*g = -3*p - 0*p - 34*g + 176, 236*p + 0*g = -g + 14162 for p.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 770495?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -a + 1. Suppose 0*w = a*w - 32. Solve -4*y + 10 = z, 2*z - 2*y = 2*y - w for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2350.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 + 4*i + 3. Determine n(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 294233 a multiple of 59?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -46, 0.3, -0.2, -4.5, -3\/10, -0.4, -4?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -5*s + 5. Let y(z) = z**2 + 4*z - 4. Calculate -4*f(o) - 5*y(o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.3 + -54414.\nAnswer: -54416.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 86 - 75. Suppose -o*d = 4*d - 4065. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 577675 divided by -25\nAnswer: -23107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*f**3 - 50*f**2 + 4*f**3 + 10*f**3 + 50*f**2.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -54 - ((-1 - 8) + -28 + 34 + -10 + 16)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 26 + 29 - 18*y - 17. What is the units digit of f(-15)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-133)\/84)\/((-43)\/((-1548)\/(-27)))\nAnswer: 19\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 1 = 5. Let f = -4 + 3. Let v = -2 + 2. Put c, v, f in descending order.\nAnswer: c, v, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1011? (a) -0.5 (b) 6 (c) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3216 - 2093. Suppose 722 + v = 9*d. Calculate the highest common factor of d and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -923*h**2 - 32335*h - 1031. Determine a(-35).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21819, -21851, -21905, -21981, -22079, -22199?\nAnswer: -22341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/30751077 and -40\/35523.\nAnswer: 92253231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 19 = -5*a, -3*i + 35 = 4*a + 2*i for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = w + 5*u + 9, -2 = w - 4*u + 2*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31844?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52950 divided by -353.\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/20 - 7\/(-20) and 20\/6*66\/16?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 4*q**2 - 3*q + 3. Let b be x(2). Suppose 16*m = b*m + 48. What is the highest common factor of m and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 39*r**5\/20 - r**4\/12 + 22*r**3\/3 + 111*r**2 + r. What is the second derivative of f(k) wrt k?\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/6*1*-3. Let v be (1 + (-26)\/4)\/((-17)\/34). Let q = v - 5. Solve 0 = p*g - q*g + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6118394.955 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 464 is divided by 114.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.6. Let q = 113.28 - 109.28. What is the third biggest value in 11, n, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 810.54 and 0.4.\nAnswer: 810.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 571, 759, 947, 1135, 1323, 1511?\nAnswer: 1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -0.064513.\nAnswer: 0.935487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 549182 is divided by 18937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c**2 + 15. Let f(p) = -1. Suppose 5*s + 3*q = 1, 2*s - 3*q + 5 = 3*s. Let g(v) = 2*v**2 - 5. Let r(z) = s*g(z) + 5*f(z). Calculate r(t(j)).\nAnswer: -8*j**4 - 120*j**2 - 450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8684.\nAnswer: 2, 13, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + 5 + -10 + 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -134\/3. What is the nearest to 1\/3 in 5, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 22*q - 237. Let r(o) = -7*o + 85. Let k(z) = -5*p(z) - 14*r(z). Let t(v) = v. Calculate k(t(s)).\nAnswer: -12*s - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -140 (base 12) in base 9?\nAnswer: -233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 4*p**2 - p + 3. Let h be z(-4). Solve 0 = -3*q + h*q + 16, -5*v + 3*q = -32 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-660)\/25*75*(-4)\/8. Calculate the highest common factor of w and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3\/15 + 2134*l**2\/15 - 2128*l\/15 - 4264\/15 = 0. What is l?\nAnswer: -1, 2, 1066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*v + 4406, -648 - 1543 = v + 3*c. What is v rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j*s**3*x**2 - 3204*j*s**3 + 31*j*s**2*x**2 - j*s*x**2 + 70*j*s*x - 690*s**4 + s**2*x - s**2 - 57*s - 3 wrt s.\nAnswer: -12*j*x**2 - 19224*j - 16560*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/6)\/(28\/(-1134)). Let b = 31 - l. Solve 0 = 4*y - 20 + b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4477 - -4495. What is the greatest common divisor of 3357 and t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7869, 9754, 11621, 13470?\nAnswer: 15301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623318805 is divided by 696?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - g, 5*g = o - 1. Let y(w) = w**2 + 4*w - 2. Let u be y(-5). Let f = u + o. Solve 2*j - 18 = -2*v, f*j = 5*j + 5*v - 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**4\/3 - 5*s. Let r(w) = 1. Let p(b) = 2*b**2 + 1. Let f(z) = p(z) - r(z). What is f(l(d))?\nAnswer: 32*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1756, -3492, -5228, -6964, -8700?\nAnswer: -10436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 13, v: 3}. Give prob of picking 2 k and 1 v.\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.1, 5\/6, 2\/67, -1\/73?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 4. Suppose v = 4*n - 17 - 55. Let s = 57 - n. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.0466 - -2.0466. What is the nearest to -1\/3 in 2\/7, b, 3, -2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 9, 3\/8, 0.46, -1?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - 111000110010110001010000?\nAnswer: -111000110010110001010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 1 (b) 6 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(-10)*(-584)\/511.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4831466 is divided by 410?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359482 is divided by 18920.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.1 + -158.9. Let m = -173.000279 - o. What is m rounded to 4 dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -18) + -2 - (-5 + 8).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 199 and 692719.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18245474?\nAnswer: 2, 13, 73, 9613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-3\/7)*v)\/v*v)\/v**(-3\/7)*v**(-5)*v**(-10) assuming v is positive.\nAnswer: v**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9713 + -9681. What is the highest common divisor of z and 5112?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 22221220?\nAnswer: -22221100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -6*j**2. Let t(d) = 33*d**2 - 3. What is s(t(x))?\nAnswer: -6534*x**4 + 1188*x**2 - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 0.9. Let f = 0.1 + w. Let p be (-7)\/(-20) + (-2)\/(-5). What is the third smallest value in f, p, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 36\/(6\/36*-4). What is x rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kiii when four letters picked without replacement from {k: 11, f: 4, i: 3}.\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7568 = -17*y + 21525. What are the prime factors of y?\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*m - 9 = 0. Let u(b) = -2433331*b - 1. Let k(g) = -g. Let p(f) = -2*k(f) - u(f). Let y be p(m). What is y rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 - -46. Suppose t = 8*d + 10 + 6. Which is greater: d or -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 15 (b) 1\/2 (c) -3 (d) 0.0727 (e) -4 (f) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 86 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 + o**3 + 6*o**3 - 82*o + 5*o**3.\nAnswer: 7*o**3 - 82*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 7*q**3 - 23*q**2 - 9*q + 28. What is the units digit of f(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106078548.\nAnswer: 2, 3, 1171, 7549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*y - 337*y**5 - 26*y**4 + 50*y**3 + 339*y**5 + 70*y**3 - 224*y**2 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3656.82 + -1.\nAnswer: 3655.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 a when four letters picked without replacement from bbtcctaaabtbb?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.41 + -0.5. Let f = k + -2.91. Let d = f + 0. What is the biggest value in -2\/7, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 26*p - 3699. What is the remainder when p is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4982, -19911, -44794, -79631, -124422?\nAnswer: -179167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - w**2 + 58*w - 295. Let b be q(6). Sort -5, 1, b in descending order.\nAnswer: b, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-550)\/(-330)*(26961\/770 + (-12)\/56)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 2*m**2 - 21*m - 40. Determine j(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.310843 kilometers in micrometers?\nAnswer: 1310843000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 6*n**2 - 1)*(3*n + n - 3*n) + (-3*n**2 - 6*n**2 + 2*n**2)*(4*n - n + 0*n).\nAnswer: -27*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 144762?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -1. Let n(p) = -p + 1. Give 3*n(l) - 4*w(l).\nAnswer: -3*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*-492\nAnswer: 98.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -40*8\/32 + (26 - 1). Solve 4*g - 2 = -2*j, -5*g + 2*j = -i + 8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78 + 39354\/504)*-12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -16*y - 6*y**2 + 3*y**2 + 2*y**2 + 1. Let u be g(-15). Suppose u = 6*p - 14. Solve 2*x = -2*d - 3*d + 6, 5*d + p*x = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2865*0.93\nAnswer: -2664.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3713481844?\nAnswer: 2, 47, 19752563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7797081.\nAnswer: 3, 61, 137, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**3 - 16*o**2 + 10*o - 25. Let z be i(3). Let k(l) = l**3 + 3*l**2 - 6*l - 10. Determine k(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2596 is divided by 116?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12747 and 70.\nAnswer: 127470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000154856 rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**4\/6 - 89*k + 32. Let a(f) be the first derivative of r(f). Let u(l) = -16*l - 4. Calculate a(u(b)).\nAnswer: -512*b**2 - 256*b - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.87*692.\nAnswer: 1294.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 39299059 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436713*m**2 - 436709*m**2 - 436714*m**2 + 1310135*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 + 3*o + 13. Let s be w(-2). Let u(f) = -79*f**2 - 3*f**s - f**3 - 2*f + 85*f**2 + 3*f**3 + 7. Calculate u(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9655*d**4 - 4*d - 153 + 17*d**2 - 35*d**5 + 9655*d**4 wrt d?\nAnswer: -700*d**3 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 148 = 4*r, -2*r - 2*r = -550*g + 547*g + 140 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*l**2 + l**2 - 24 + 14*l**2 - 9*l**2.\nAnswer: 3*l**2 - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fff. What is prob of sequence ff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 15*h - 96. Let f be 9\/27 + -1 + 4\/h. Solve -3*g + 5*o - 30 = f, -9 = -7*o + 4*o for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**(8\/9)*f*f)**(-9))**(2\/3))**(4\/9) assuming f is positive.\nAnswer: f**(-208\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 0*o**4 + 0*o**6 - 2\/21*o**7 + 0*o**5 + 1\/2*o**3 + o + 0 + 0*o**2. Find the second derivative of u(d) wrt d.\nAnswer: -80*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 813*t = 818*t - 10. Solve -5*g = t*a + 7, -4*g - 8 + 3 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -345 != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -73 and 0.3.\nAnswer: -21.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 271, 241, 211, 181?\nAnswer: 151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 301031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/(r\/(r*r**1))))**(-2\/5)\/(r**(-2\/3))**(2\/39))\/(r**(-1)\/((r\/r**(-1))\/r)*(r**1)**43) assuming r is positive.\nAnswer: r**(-23731\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -10\/1299?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 divided by 1360?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:52 PM and 5:02 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 times 4?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.297052 to one decimal place.\nAnswer: -13.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 40949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = l - 5*g, 4*l + 3 = 3*g - 1. Let r(b) = 4*b. Let x(v) = -v**2 - v. Give l*r(s) - 4*x(s).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 306286?\nAnswer: 2, 37, 4139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cwwp when four letters picked without replacement from {a: 7, p: 3, c: 6, w: 2, z: 1}?\nAnswer: 1\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*f - 8. Let h(l) = l**3 - 4*l**2 + 2*l + 5. Calculate the remainder when h(f) is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1579, 1564, 1547, 1528, 1507?\nAnswer: 1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 0.0117?\nAnswer: 0.00234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h. Let o(u) = -5*u. Let j(b) = 14*g(b) + 2*o(b). Let i(c) be the first derivative of 1 + 0*c**2 + 1\/3*c**3 + 0*c. Give j(i(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6651890 rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20\/150 + 673\/15. Solve -25 = 2*c - c + 4*s, -5*c = 4*s + b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-115)\/23 + (-15)\/(-3). Suppose -p + 228 = 3*r - 2869, -r - p + 1035 = l. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 1, p: 1, j: 4, l: 6, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-128)\/256*(0 - (6 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 8:15 PM?\nAnswer: 4:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -3627 (c) -4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -581 - -630. Suppose -5*i - 37 = -717. Calculate the remainder when i is divided by b.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5*b**2 - 35*b - 30. Let y be h(-1). Which is smaller: y or 1\/4743?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 4755.18 kilograms?\nAnswer: 4755180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**6\/60 - 18*b**5\/5 + 161*b**4\/24 - 1626*b**2. Find the second derivative of o(k) wrt k.\nAnswer: 12*k - 432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -749938 divided by 5474?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121624 + 261427. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1109.658 to the nearest 10.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 4*l**3 + 0*l**2 - l**2 + 4*l - 5*l**3. Let m be p(-3). Suppose -31 = -5*f - m. What is the remainder when f is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-24) + (-107)\/(-4). Suppose -f + 63 = 2*g. Let a(h) = 11*h + 3. Let q be a(3). What is the highest common divisor of g and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 148\/77 + -18\/11. Which is bigger: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2233309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317148?\nAnswer: 2, 3, 13, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u + 3. Let j be v(-6). Let h be 4*j\/(-12) + 2. Is (h\/(-9))\/((-5)\/120) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01607784738 to 6 dps.\nAnswer: -0.016078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52205 is divided by 2175.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7 + -4 - (-29 - 2). What is the greatest common divisor of 17 and s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 18\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 525 = -2*q. Let b = q - -18. Round b to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*h**3 + 2115*h**2 - 319920*h + 10513340.\nAnswer: 5*(h - 62)**2*(h + 547)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.03 + -0.03. Let y be 6\/(-8)*(-5)\/(-10). What is the closest to 1\/6 in v, y, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31488 - 4099.91?\nAnswer: -35587.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 49 = 2*p + 4, 9 = -p - 4*d. Let a be (34\/(-4) + -3)*2. Let h = a - p. Solve -h*y = -y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 - 34.2. Let f = -24.1 - -22.9. Let u = g + f. Round u to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 + -71. Suppose 0 = 5*o - 2*w - g, -4*w + 1 + 8 = -o. Solve 0 = -d + o for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -246 + 433. Suppose -4*x = -0*x. Suppose x = 3*q - 11 - 40. What is the highest common divisor of y and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 374613804.\nAnswer: 2, 3, 19, 547681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 22 = -5*h, x + 4 - 1 = 0. Solve -8 = 2*t - h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 a when three letters picked without replacement from aspau?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -18*t**2 - 6*t + 5. Let i(z) = 17*z**2 + 5*z - 4. Let m(j) = -5*i(j) - 4*n(j). Let d(u) = u**2 - 7*u + 7. Let c be d(6). Give m(c).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 13. Suppose -6*n = -v*n - 2. Let w = -8 - -8. Which is bigger: w or n?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -245*v = 123*v + 12*v + 131*v + 21973 for v.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 2*o - 3 = 0, 4*d + 3*o + 0*o = 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18, -51, -82, -111?\nAnswer: -138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35045024 greater than 35045023?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -154 and -463.892267.\nAnswer: -617.892267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3581, -3524, -3409, -3230, -2981, -2656, -2249, -1754?\n\"Answer: u**3 + 23*u**2 - 19*u - 3586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 865*x**5 + 2*x**4 + 3*x + 416?\nAnswer: 17300*x**3 + 24*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 644621, 1289223, 1933825, 2578427, 3223029?\nAnswer: 3867631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1958282739?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/52510 and 55\/118.\nAnswer: 52510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 3*w**2 + 4*w - 7. What is the tens digit of s(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 427 - 349. Calculate the remainder when c is divided by 60.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x. Let z = -4 + 4. Let m(o) = -2*o - 2*o + z*o. What is 5*a(y) - 2*m(y)?\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 < -59\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.33722 + 8.807. What is z rounded to 3 dps?\nAnswer: -0.53","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73*110\/(-20075))\/(33*8\/30).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2611 - -12729\/5. Let l = -69 + 4. Let k = v - l. Which is the closest to 0? (a) k (b) 5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2187.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 + 2*d**2 + 3. Let t(b) = -b**3 + b**2 + b - 1. Let l(y) = j(y) + t(y). Let i be l(-2). Solve i*r = -3*s, -3*s - 3*r = 2*s - 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a tonne in kilograms?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -39710 - 7\/((-77)\/(-110)). What is g rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2362.258 years in decades?\nAnswer: 236.2258","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114*q**2 - 105*q**2 + 38699 - 38699.\nAnswer: 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - 8*l + 13. Let q be d(9). Let s = q - 11. Let k(i) = -i**3 + 12*i**2 - 10*i - 9. Let v be k(s). Solve -6 = v*n - 4*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -1\/2 (b) 10511 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -23 - 9. Let c(z) = -2*z - 41. Let w be c(n). Let u(a) = -a**2 - 8*a + 9. Let o be u(w). Solve o = -0*m + 2*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - 10. Let l = -7.8 - x. Let f be 0 + 1 + 5 + 224\/(-35). Which is the fourth smallest value? (a) -1\/6 (b) l (c) -2\/7 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2590900 or 2590901?\nAnswer: 2590900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(-2 - 1 + 1 + (1 + 1 - 3)*(-7 + 3 + 3) + 4 + 2 + 1)*(-2*w + 2 - 2)*(-3*w + 0*w + w).\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 4*v**2 - 13*v + 5. Calculate y(5).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2360.2 - 2358.2. Which is the third biggest value? (a) f (b) -11 (c) 815\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - 8 = 6*y. Suppose -11 = y*l - 7. Is 28\/1 - (l + -1) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137439?\nAnswer: 3, 15271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 249 - -260474?\nAnswer: 260723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 26781 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -919196 by -229799.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 8, w: 5}. What is prob of sequence pw?\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*t + 28*t + 1173 = k, -5*t - 2*k + 5844 = 0. Calculate the greatest common factor of t and 2491.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18847955564894252 - -18847955375877005.69999854. Let v = -189017273.3 - a. Let o = v + 27. Round o to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1774 is divided by 868.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of 317*n**4\/6 + n**3\/3 - 49*n**2\/2 + 2*n - 4. What is the second derivative of c(v) wrt v?\nAnswer: 1268","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1548 and 37539.\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1133 is divided by 1000.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*a - 4*a - 13, -32 = -2*a - 4*w. Is 2*(1273 + a)*14\/4 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**2 + 20*v + 32 = 0.\nAnswer: -8, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 154 divided by 11?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24 + 27. Let b(p) be the second derivative of 1\/18*p**4 + 2*p + 0 - 2\/3*p**2 - 1\/9*p**d. Factor b(k).\nAnswer: 2*(k - 2)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**2 + 1. Let v(b) = 11*b**3 + 6*b**2 - 28*b - 16. Let x(r) = -36*r**3 - 18*r**2 + 88*r + 50. Let a(d) = -16*v(d) - 5*x(d). What is -a(c) + 6*y(c)?\nAnswer: -4*c**3 - 8*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/(-3))\/(1\/(-3)). Let m be (-34)\/(k + (-4 - -1)). Let r be (-2)\/(-6) - 356\/(-3). What is the greatest common factor of m and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -556 plus -0.1?\nAnswer: -556.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 4*d + d)*(-33*d + 19*d - 16*d) + 3*d**2 + 0*d**2 - 5*d**2.\nAnswer: 58*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346 = 19*f + 129. Let x = f + 28. Suppose 0 = o - 3*s + 4*s - 43, 5*o - 239 = x*s. What is the remainder when 181 is divided by o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - s - 4*s - 5, 7 = h + 2*s. Suppose -o + 559 = 5*j, -2*j - h*o + 555 = 3*j. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 15 + 3*a + 38 - 7.\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 904 - 896. Let q be (-36)\/(-108)*84\/(v + 0). Which is greater: 3 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of g**3\/6 + 7*g**2\/2 - 14*g. Let x be z(19). What is the second biggest value in -4, -0.1, x, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(539)*-2 - sqrt(539))**2.\nAnswer: 126*sqrt(11) + 4860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 <= -1505\/27502?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*-5 + 1)**2 - (sqrt(475) + sqrt(475) + -4*1*sqrt(475)) - -5*(1*(sqrt(475) + -2*sqrt(475)) + -5)**2.\nAnswer: 210*sqrt(19) + 14376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -19 - 0 - (-186 + 169) - (0 + 5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -3 + 0 - 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s**5 + 21*s**4 + 6*s**3 - 42*s**2 - 3*s + 21 = 0. Calculate s.\nAnswer: -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ece when three letters picked without replacement from eppepcpcppcrcpp?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d + 2*d**2)*(5*d + 3*d - d).\nAnswer: 14*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 54508451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -309, -1013, -2489, -5121, -9293, -15389, -23793, -34889?\nAnswer: -49061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 minutes before 8:37 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 4*f + 13092, 4*p - 10470 = 3*f + 2*f. Let q be ((-18)\/(-45))\/((-2)\/p). Find the common denominator of q\/144*2 + -1 and -61\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41 + 14*q**2 - 41 + (6*q - q - 3*q)*(4*q - 2*q - 4*q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9971*m + 3549686. Calculate f(356).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140 take away -1.2?\nAnswer: 1141.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jehkhlhexkjeehhjkh. What is prob of sequence ke?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -52 + 11 + 4 + 20?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 110?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 22070 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 + 26*w**2 - 54 + 31.\nAnswer: 26*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 19*c + 30. Let z(j) = -20*j - 29. Let a(s) = -5*w(s) - 6*z(s). What is the derivative of a(x) wrt x?\nAnswer: 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000 (base 2) in base 11?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*v)*(-45 + 6 + 13 + 11) to the form t + s*v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -643604*-0.3\nAnswer: 193081.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -385730834780.968+-0.2\nAnswer: -385730834781.168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 7216, 15033, 23450, 32467, 42084, 52301?\n\"Answer: 300*p**2 + 6917*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -6. Let x = v + -2. Let k = 2 - x. Let h(c) = 5*c**2 + c - 1. Determine h(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13757\/5 or -6166?\nAnswer: -6166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the second derivative of 17*q**3\/6 - 30*q. Let b(a) = a. Calculate b(p(u)).\nAnswer: 17*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/96 and 7*230\/264 - (194 + -189).\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -103, -98, -95, -94, -95, -98?\n\"Answer: -s**2 + 8*s - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(3\/10)*l**(-8))\/(l\/l**(1\/2))**17 assuming l is positive.\nAnswer: l**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d**3 + 8*d**2 + 27*d + 191. Let g(x) = -6*x**3 + 7*x**2 + 24*x + 190. What is 9*g(l) - 8*i(l)?\nAnswer: 2*l**3 - l**2 + 182","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*n + 91*n - 500 = 14*n. Sort n, -31, 0.\nAnswer: -31, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 118 - 2165 = 0. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100859\/137982 - -1\/5307. Let d = h - -261\/286. Let k = 0.79 + 0.01. Which is the second biggest value? (a) d (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, q: 18}. Give prob of sequence uu.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -610.5656036 to the nearest 10.\nAnswer: -610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2557805.6 to the nearest ten thousand.\nAnswer: -2560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/495669?\nAnswer: -2\/495669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/30*(0 + (-3)\/(-6)).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5330)\/(-728))\/(-41))\/((-315)\/9576).\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9870*j**2 + 5*j. Let u(x) = x**2 - 1. Let r(c) = -4*u(c) + z(c). Let t be r(-4). What is t rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01398 to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 9, 0*u + 3*m + 13 = -4*u. Let h(k) = -81*k + 2. Does 12 divide h(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbbibxxbnbiniiiibxi. What is prob of picking 1 x and 2 n?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/356642 and 54\/6981953.\nAnswer: 181530778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -483 - -416. Let l = -75 - o. Is 14\/3 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 12:01 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40249291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 75\/2 of a meter in millimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 100537 or 100536?\nAnswer: 100537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -121000021 (base 3) to base 7\nAnswer: -46012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 124923 is divided by 263.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 40605 (base 7) to base 5\nAnswer: 304103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46899, -93819, -140739?\nAnswer: -187659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -376034 smaller than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 28\/15 and 42\/70588955?\nAnswer: 211766865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 9. Let m be a(3). Suppose z - 2*i + m*i = 39, -49 = -3*z + 5*i. What is the remainder when 66 is divided by z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 n when three letters picked without replacement from ngnngnnnnnnn.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1007 and 1330?\nAnswer: 70490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 1 + 4 + 5 + 0\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 - -8) + 100 + -6. Calculate the highest common factor of c and 88.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 142897452?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 41. Let f(k) = -20. Calculate 5*f(q) + 2*w(q).\nAnswer: -2*q - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21346503359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 45. Put -4, 0, a in descending order.\nAnswer: a, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 148750256 to the nearest integer?\nAnswer: 12196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of -d**5\/60 - d**4\/24 - 5*d**3\/3 + 3*d**2 + 8*d. Let m(i) be the first derivative of z(i). Calculate m(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 35. What is the remainder when 167 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r - 12 + 12)*(2*r - 4*r - r).\nAnswer: -18*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 4 = -k + w, -2 = k - 2*w. Suppose 5*h = 4*j + 103, -4*h + k*j = 21 - 107. What is the greatest common factor of 69 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100 - -21211000222?\nAnswer: 21211001022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 7*z**2 + 6*z + 2. Let d be l(8). Calculate the least common multiple of 2 and 192\/42 + 8\/d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 + 1)*(1 - k - 1)*(779 + 243 - 264 + 331) to the form s + b*k and give b.\nAnswer: -3267","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7b4c7c (base 15) to base 16\nAnswer: -59db31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bsmsiffsfssssffss. Give prob of picking 1 s and 1 f.\nAnswer: 45\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/(-3) + 3354\/117 + 6 + -37?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 - 21*p + 22. Let k be s(-15). Let o = k + -68. Is 22 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**6\/15 - j**5\/5 - j**4\/2 + j - 10. Let s(v) be the first derivative of l(v). Find r, given that s(r) = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277*i - 282*i = -7280. Suppose -2*y + i = 2*y + 3*b, -2*y + 728 = 3*b. What are the prime factors of y?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1147 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {j: 7, q: 8, g: 1, f: 4}.\nAnswer: 7\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z + 1. Let p(h) = -35*h - 2. Calculate -4*a(n) - p(n).\nAnswer: 31*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 5617*l**2 + 1 + 5325*l**2 to the form b + o*l**2 + y*l and give o.\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8796145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-20)*1\/(-35)*-5.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4095)\/(-78)*40\/14. Let r = y + 554. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -11 (b) -1\/15 (c) -2\/9 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8308198?\nAnswer: 2, 23, 109, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 72851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 501*l + 4. Let m(b) = 1043602*b + 8334. What is 2*m(n) - 4167*u(n)?\nAnswer: -463*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3*(5*sqrt(50)*4 - sqrt(10)\/(sqrt(180) + -4*sqrt(180))))**2 + 5.\nAnswer: 3243709\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, k: 4, z: 2}. Give prob of sequence bzz.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 9033168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 125761 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 0.2 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - p - 9 = -2*w, p = -2*w + 29. Factor 20*q - 11 - 5 - w + 3 + 5*q**2.\nAnswer: 5*(q - 1)*(q + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58855690 a multiple of 1765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 3*j - 7. Let d be w(3). What is the common denominator of 19\/16 and (8 - d) + (-62)\/24?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -0.3. Let b = -3.6 + 4. What is the third biggest value in 3, t, b?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zgguduuuguduiiidzddc. Give prob of picking 1 u, 1 g, and 1 i.\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v. Let p = -25 + 19. Let x(w) = 15*w - 11. Let k(n) = -2 - 4*n + 2 + 3. Let m(u) = p*x(u) - 22*k(u). Calculate y(m(t)).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -2, 4, 5.\nAnswer: -7, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = g**2 - g + 2. Let r = 0 - -2. Let n be b(r). Let o = -10 + 14. Calculate the greatest common divisor of n and o.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4577 and 7164.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/5 (b) -1\/1705 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/4 + 1482938*f**2 - 8796414515621*f\/4 - 8796426379129\/2.\nAnswer: -(f - 2965877)**2*(f + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 8 = 8. Let v = 8 + k. Suppose -v*z = 3*r - 65, -z + 3*r + 39 = 4. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 421837 is divided by 84217?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 39991260 rounded to the nearest one million?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*r - 1082 = -15*r. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58541*w**2 - 106 + 29269*w**2 + 29269*w**2 + 210.\nAnswer: -3*w**2 + 104","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1676881417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1\/19)*p)**(-6\/19) assuming p is positive.\nAnswer: p**(-108\/361)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1484)\/21*(16405\/(-20) - -5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101 - 1?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 4*c + 16 + 4, 0 = -s - 2*c + 5. Let l(a) = 2*a**2 - 7*a - 1. What is l(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11.3 and 12755?\nAnswer: 144131.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 v when three letters picked without replacement from {b: 2, v: 2, g: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 1. Let m(p) = p + 4. Let b(i) = -4*i - 13. Let u(s) = 3*b(s) + 8*m(s). Determine 5*n(v) - u(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -3473.451513 to 1 dp.\nAnswer: -3473.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - 2\/(-2)*-2. Let d be 2\/7 - 2*(-6)\/7. Let u(c) = 6*c**2 - 4*c**d - c**2 + h*c**2. Let y(b) = b. Give u(y(s)).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, d: 2, r: 3, i: 1, s: 11}. What is prob of picking 1 s and 3 r?\nAnswer: 11\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*i**6 - 10*i**5 - 14*i**4 - 2*i**2 + 35939 wrt i.\nAnswer: -360*i**3 - 600*i**2 - 336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/10*300\/(-90).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21739068, 43478122, 65217176?\nAnswer: 86956230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**4 + 294116*j**3 + 10855004474*j**2 + 3086511538968*j + 220256383326408 = 0.\nAnswer: -73386, -143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f**4 + 24*f**4 - 2*f**4)*(f + 0*f + f) + (-f**2 + 2*f**3 + f**2)*(2*f + 3*f - 6*f)*(-3 + 4 - 2)*(2*f + 2*f - f).\nAnswer: 60*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 5 = 2*k, -52 = 2*m - 3*k - 53 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -435*d + 1436. Let i be a(3). Sort i, -2, -5.\nAnswer: -5, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxxhaahxxs. Give prob of sequence hx.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of 55138207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 o when three letters picked without replacement from obobooboblmmolmmob?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -264*b**2 - 19*b**2 + 280*b**2 - 442 to v*b + x + a*b**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -120 + 62452?\nAnswer: 62332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-1)*(-10)\/275. Suppose 45*z + 7 - 7 = 0. Which is smaller: z or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2927 - 17869809?\nAnswer: -17866882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**3 - 21*h**2 - 72*h + 25. Let t be w(24). What is the first derivative of -36*g**2 + t*g**2 + 2*g - 64 - 17*g**2 + 0*g wrt g?\nAnswer: -56*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*f**3\/13 - 3246*f**2\/13 - 21184*f\/13 = 0. What is f?\nAnswer: -32\/5, 0, 331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*r**3 + 4*r + 4*r - 2*r + r.\nAnswer: 58*r**3 + 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -31 - 2. Let g = -34.5 - u. Let p = -1.3 - g. Which is the biggest value? (a) p (b) -2 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65516, -139393, -213270, -287147?\nAnswer: -361024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -29*w**6\/18 + 176*w**5\/15 - 91*w**4\/4 + 2*w**3 + 144. Factor q(f).\nAnswer: -f**2*(f - 3)**2*(29*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence txbs when four letters picked without replacement from stxssbsx.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) + (-10)\/15. Let q = 3 + m. Let a be q - 2\/4*14. Is a equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -987\/46 + 43\/2. Let p = 389\/46 + s. Solve 9*v**3 - 5\/2*v**4 + 0*v - p*v**2 + 2 = 0 for v.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1123656?\nAnswer: 2, 3, 46819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 24757549*a*m*t + a*m - 26*a*t + m*t + 2946739*t wrt m.\nAnswer: 24757549*a*t + a + t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 57560022 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h, 0 = -0*c + 5*c + 2*h - 30. Let o(a) = 2*a**2 + 4*a**3 + c + 3*a + 13 - 19. Let g(p) = -11*p**3 - 5*p**2 - 8*p - 6. Give 3*g(t) + 8*o(t).\nAnswer: -t**3 + t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 - -1)*(-4 + 72\/16). Sort -4, o, -6 in decreasing order.\nAnswer: o, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**2 - 6*h + 5. Let t be i(7). Suppose 4*n - 4 - t = 0. Suppose -n*g + 9*g - 140 = 0. Calculate the remainder when g is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1816.\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7137416.\nAnswer: 2, 11, 13, 17, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3841079000 to the nearest 1000000.\nAnswer: 3841000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (16\/10)\/(-4)*(-5)\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 11*r + 23. What is w(11)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-18) - 2\/(-1) - 2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**3 + 4*i**2 - 5*i + 2. Let j be w(-5). Let u be (-4 + j)*-1 - 13. Suppose 3*y = -2*y - 3*d - 54, 12 = -2*y + 2*d. Is u < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**0)**14\/(q**(-2)*q*q**0))\/(q**(1\/3)\/((q\/(q\/q**(1\/7)))\/q))**(-9) assuming q is positive.\nAnswer: q**(180\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 4*l + 20, 50 = w - 4*l. Let o = w - 17. Let m be 0 + 105 + 2 + -1 + -2. Calculate the highest common factor of m and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 4*w + 113. Let j be b(-9). Find the third derivative of 1 - 67*d**2 - j*d**3 + 25*d**3 + 28*d**3 + 25*d**3 wrt d.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2, 1\/3, -0.1, -79, -0.5, 8, 3\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6d (base 15) in base 5?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3 + 5*h + 31*h - 2*h + 5. Suppose -g = -4*g - 6, 2*t - 4 = -2*g. List the prime factors of p(t).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798854537.\nAnswer: 13, 41, 1498789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + r + 7. Let f be l(4). What is the biggest value in f, 11, -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 - 38*z - 33. Let q be d(-18). Solve 0 + 25 = 4*m - v, q*m - 5*v = 40 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34454\/19 - -1816. Calculate the common denominator of 7 and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124 - -293. Let u = -4153\/10 + q. Find the common denominator of u and 3\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 626604 and 53328?\nAnswer: 2506416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 3*f - 4. Let p(r) = r**2 - 2*r - 3. Let o(n) = 3*p(n) - 2*q(n). Let s(i) = i - 3. Let x be s(5). Calculate o(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -2. Suppose -z + 18 - 1 = p. Calculate the remainder when 402\/2*(-1)\/(-3) is divided by z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -0.4, -31, 34\/3, -3, 4\/15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*1*4 + sqrt(112) - (-5 + sqrt(112) - sqrt(112))*6)**2*-3.\nAnswer: -11100 - 3600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b + 13*b - 5*s + 35 = 0, 3*b + 3*s - 33 = 0. Solve -4*i - 2 = -b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 + (-13)\/((-13)\/(-1152)))\/((-3)\/11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b**2 + b - 21. Suppose -9*x = -x - 64. What are the prime factors of a(x)?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6551 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -101, -94, -87?\n\"Answer: 7*b - 108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 k, and 1 m when three letters picked without replacement from bkbpbbkpbbbkkbmrkk.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 5*f**2 + 119231750*f + 710810510403125 = 0?\nAnswer: -11923175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 12:43 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000769594 to six dps.\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c + -355?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + s**2 - 1. Let o be p(-1). Let g be 19 + -4 - o\/(-3). Let c = 290 - 276. Which is smaller: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**2 + h - 1. Let z be ((-8)\/5)\/(6\/(-15)). Let n(r) be the third derivative of -r**5\/20 - r**4\/8 + r**3 - 22*r**2 - 2*r. Calculate z*m(q) + n(q).\nAnswer: q**2 + q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/50 and 67\/6435.\nAnswer: 64350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 725810, 725811, 725814, 725819, 725826, 725835, 725846?\n\"Answer: f**2 - 2*f + 725811","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 176877 divided by -3\nAnswer: -58959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 2*a**3 + 4*a**2 + 4*a + 3. Let c be u(-2). Let o = -47812 - -47811. Are c and o unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -4*m. Let y(u) be the third derivative of -u**5\/60 + 361*u**4\/12 + u**2 + 213*u - 2. What is y(o(n))?\nAnswer: -16*n**2 - 2888*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4*o - 29 = 0, 2*r + 6*o - 22430 = -22466 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 260*t**2 + 14*t + 133. Is b(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34777, 65180, 95583?\nAnswer: 125986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 44 = 3*x, 4*c + 27 = 2*x + 7*c for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - -5) + -44 + -52 + (17 - -31).\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((157192\/(-2940))\/401)\/(((-6)\/(-2))\/(-1)).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -247 - 4*f + f - 2*f**2 - 8*f + 248 as b*f**2 + g + v*f and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1555 - -3330. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -3*u + 24 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvmk when four letters picked without replacement from {m: 1, k: 3, v: 3}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 99, 151, 203, 255?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 4*u + 32. Let i be h(0). Suppose a - i = -s, 3*s + s = -a + 134. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-6))\/(5\/30). Solve -4*j = -5*m + 9, -q*j + 2*m + 0 - 2 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*r**2 - 51*r**2 + 127*r**2 - 39*r**2 - 2*r**2.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 17 - -1b362?\nAnswer: 1b379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e6a (base 15) to base 16.\nAnswer: -cb2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*p + 5050 = 0, -o + 0*o - 2*p - 1003 = 0. Let f = -571 - o. What are the prime factors of f?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -4\/5 (c) 7 (d) 366\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1944 + 2.1944. Which is the nearest to n? (a) -10 (b) -12 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 86, 163, 230, 281, 310?\nAnswer: 311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a kilometer in meters?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:11 AM and 3:04 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*d**2 - 35*d**2 + 1266 - 1264 + 375*d - 2*d**4 + 16*d**2 as o*d**4 + k*d**2 + y*d**3 + w*d + n and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52157 (base 8) to base 7.\nAnswer: 120006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -788*u**2. Let o(a) = -14235*a**2. Give o(x(f)).\nAnswer: -8839137840*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b - 10 = -15*b, -5*v = 3*b - 20 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3423504853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 1. Suppose -11*g - 30*g = 82. Put g, 2, y in decreasing order.\nAnswer: y, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-404)\/(-606))\/(((-35)\/(-5))\/(-1)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -58.8. Let o = 8.6 + -0.6. Let l = h + o. What is l rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3337 + 3416. What is the remainder when 382 is divided by u?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 7:44 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1448634\/7 - -206950. Find b, given that -8\/7*b + 12\/7*b**2 + 10\/7*b**3 + 2\/7*b**4 - m = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -223*c**3 + c**2 + c - 1. Let f be g(1). Let s = -51 - 326. Let a = f - s. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33.9 - 32.9. Let z be (-6 - 0) + (2 - 0). What is the second smallest value in z, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6072631 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 20*r + 598. What is the hundreds digit of d(45)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 273 and 672?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 945 and 15.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*j + 87 + 22*j - 4*j - 7*j - j.\nAnswer: j + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d + 9. Let o(y) = 3*y + 9. Let v(l) = -5*b(l) + 6*o(l). Give v(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1560 divide 1671658560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-18) + 2\/(-4). Let c be -2 - (-4 - -3 - 8). Let n = c + i. What is the remainder when 15 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 AM and 5:38 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 208404474 to the nearest integer?\nAnswer: 14436","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 156 and 790842?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 9*i**3. Let s(c) = c**3. Suppose -163 = -6*z - 1543. Let a = z + 179. Give a*s(w) + 6*k(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 393746.8 decades to centuries.\nAnswer: 39374.68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h - 3. Let l be q(5). Suppose -5 = -g, 0 + 5 = -l*c + 3*g. Suppose -x = -3*x + 8. Sort x, 2, c in ascending order.\nAnswer: 2, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -387*x**2. Let r(k) = -343742*k. Give t(r(q)).\nAnswer: -45727363712268*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 514*d = 511*d - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.38 - 0.08. Let l = f - 1. Let p = 0.4 - l. What is the closest to p in -1\/3, 1, -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3136 by 1.\nAnswer: 3136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/5*-10*1. Suppose 0 = -3*b + 36. Let u be (-9)\/b - (-45)\/j. Solve g - u*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -89, 5, 4, -850, -5 in decreasing order.\nAnswer: 5, 4, -5, -89, -850","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 11 and 36520 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u. Let x(g) be the first derivative of -g**6\/180 - g**3\/3 + 3. Let t(p) be the third derivative of x(p). Determine s(t(a)).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 51 - (-847 + 918)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8395342 + -0.0965208. Let b = -1.94 - s. Round b to four dps.\nAnswer: -0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-11 + 13 - 8) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -662 + 662. Let j = 2.3 + 0.7. Which is the third smallest value? (a) j (b) z (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 2*z - n, -n = n + 2. Let h be 3\/z*(1 + 3). Sort h, 5, 0 in increasing order.\nAnswer: h, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -5*l**4 + 4520*l**3 + 293730*l**2 + 573880*l + 284675 = 0.\nAnswer: -59, -1, 965","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11452*y + 1647*y + 420943 + 108527 = 0 for y.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21014526.\nAnswer: 2, 3, 13, 419, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.1904*0.2\nAnswer: 0.03808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39.9331 - -39.03. Let d = h - -0.91. Round d to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/530 - -2387\/1060. Let c(v) be the first derivative of -x*v**4 - 23 - v**3 + 4*v + 4*v**2. Factor c(m).\nAnswer: -(m - 1)*(3*m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g**5\/20 - g**4\/12 - g**3\/3 - g**2\/2 - 18*g. Let p be a(-1). Let f = -307\/9 + 34. Which is greater: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (-2 - 0) - 3) + 40 + -93\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -9*h**3 + 6*h**2 + 11. Let r = 11 + -5. Let d(u) = 5*u**3 - 3*u**2 - 6. Let l(a) = r*n(a) + 11*d(a). Find the third derivative of l(w) wrt w.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1763*g - 38240 = -568*g for g.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19, 28, 29, 22, 7?\n\"Answer: -4*i**2 + 21*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5 - (0 + 0)\/3. Let w be 1 + b\/((-5)\/6). Let j(f) = 4 - 4 + w*f**2 + 3*f**2. Let q(g) = g. Determine q(j(v)).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t**4 - 491*t**2 + 37*t + 7439. Let n(c) = 6*c**4 - 981*c**2 + 91*c + 14877. Let p(v) = -5*b(v) + 2*n(v). Differentiate p(d) with respect to d.\nAnswer: -12*d**3 + 986*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeaeaaaaalxaalasaxl. Give prob of sequence sax.\nAnswer: 11\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 1, z: 1, w: 1}. Give prob of picking 2 w and 1 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7591.739l in millilitres?\nAnswer: 7591739","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and 654.\nAnswer: 65.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.23 and -2?\nAnswer: -0.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7*1\/(-7))\/(-1))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -3286*t + 4922. Let q be i(-6). What is the highest common factor of 194 and q?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 10*m**2 + 16*m + 4. Calculate i(11).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115 and 9269?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 13*z + 14. Determine n(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - ((-4 - -14 - 22) + 6) - 70.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -76, -94, -130, -190, -280, -406?\n\"Answer: -m**3 - 3*m**2 - 2*m - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y - 2 + 2 + (3 - 7 + 2)*(67 - 19*y - 67) to the form l*y + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of q**7\/5040 + q**6\/90 - q**5\/20 + q**2. Let i(x) be the third derivative of s(x). Suppose 40*h - 33*h + 28 = 0. Give i(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**2. Let k(p) be the second derivative of -7*p**5\/60 + p**2 + p. Let r(a) be the first derivative of k(a). Give r(q(n)).\nAnswer: -7*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (240\/44)\/(-3)*363\/(-66). Solve 2 = 4*z - j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -185 + 267. Let i be 8\/(-1 + y\/80). Let m be (3825\/(-6))\/(2\/i). What is m rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(3\/2)*i)\/i)\/i**(-8)*(i*i**(1\/5)\/i)\/i**4 assuming i is positive.\nAnswer: i**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18020)\/(-1325) - 7\/(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 at least as big as -463\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1033939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**2 - 8*p - 6. Let a be s(9). Suppose 5*c + 3*m = 47, -a*m - 8 = -c + 5. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -41e - 1?\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 7*m**2 - 40*m - 63. Let a(j) = 3*j**2 - 19*j - 31. Let t(n) = -9*a(n) + 4*r(n). Does 2 divide t(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 60 = -3*k, 4 = -5*z + 19. Let w = 570 + -565. Solve m + 4*a - 32 = -3*m, -m + k = w*a for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v - 4 = 0. Let s be 11*(1 - v\/1). Let z(c) = c**2 + 15*c + 19. Let l be z(-14). What is the second smallest value in s, -0.4, l?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*(-36)\/192?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p + 7*p - 3*p + 6*p - 2*p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -799, -3223, -7263, -12919, -20191?\n\"Answer: -808*k**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -1, -3\/2, 0.15?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2838804 and 777.\nAnswer: 735250236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**12)**(-42) assuming f is positive.\nAnswer: f**(-504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1090*a = 3125 + 54645 for a.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vhwkeklw. Give prob of sequence hw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 7 - 2 = -s, -j + 11 = -s. What is the third derivative of -j + 3*o**3 + 10 + 8*o**2 + 2*o**3 wrt o?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 14. Suppose -3*d = -2*a - c, -2*a - 2*d + 3 = d. Sort 2, -5, a in ascending order.\nAnswer: -5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = 4*x + 257, 0 = 7*s + 4*x - 65423 + 65778 for s.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/4500 and -131\/240.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5436125 is divided by 526.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 55*x - 2060. Determine w(41).\nAnswer: 195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1346 and 8.4.\nAnswer: -11306.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -4*l - 3418 + 10714, l = -z + 3648. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 18 = -5*l. Solve -l = b + 2 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.24629179855 rounded to six dps?\nAnswer: 0.246292","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/(-235)*(-4)\/4 + 696\/(-30)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -11544, 0 in ascending order.\nAnswer: -11544, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-5)*15\/(-6). Let f be -1 + g + (4 - 4). Let l(j) = -6*j**3 - 5*j**f + 5*j**2. What is l(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5804 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 193673375?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 21050000?\nAnswer: 21045555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**4\/7 + 1416*t**3\/7 + 58102*t**2\/7 + 86928*t + 191520 = 0. Calculate t.\nAnswer: -665, -28, -12, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of a**2 - 6880. Let j(s) = -10*s**2 - 5*s**2 - 21*s**2. Give j(w(g)).\nAnswer: -144*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -5*t**5 - 2347235*t**4 - 275476780795*t**3 - 275436878065*t**2 + 4407543993720*t - 5509488672900 = 0.\nAnswer: -234723, -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k - 4. Let o be n(6). Suppose o = -4*x + 6*x. Put x, 3, -3 in decreasing order.\nAnswer: 3, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1934 + -1899. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -101110 (base 2) to base 11\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (3 - -1) + (9 - 12)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 6 + 2 + (-7 + 3 + 3)*(-3 + 0 + 4))*(0*q**2 + 3*q**2 - q**2).\nAnswer: 12*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4561 - -379. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 454377 and 220372845.\nAnswer: 220372845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/4 and (-203)\/(-20) - 7\/28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - (-552)\/357) + (-8)\/68. Which is the second biggest value? (a) -0.05 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 3*n**2 + 3*n + 1. Let b(r) = -r**2 - 10*r + 7. Let q be b(-11). Let p be x(q). Solve 0*s = s - p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = -4*d + 10*d. Suppose 0*p - 37 = -3*i + 2*p, -d = -4*i - p. Which is bigger: 32\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pcccgccfqfgcffk. Give prob of picking 2 f and 1 g.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -299955*a + 150983*a + 148990*a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -139381.4999 to the nearest ten.\nAnswer: -139380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, w: 1, t: 1}. What is prob of picking 3 w?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 4*q + 4. Let s(x) = -3*x**2 - 5*x - 1. Let u(h) = 3*s(h) + 4*z(h). Let k be ((-9)\/(-12))\/(1\/(-4)). Does 22 divide u(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 463, 514, 567, 622, 679, 738?\n\"Answer: u**2 + 48*u + 414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.79 + -0.99. Let u = -1 - -5. What is the second biggest value in -0.3, u, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**3*z)**(-26))**(-26))**(-43) assuming z is positive.\nAnswer: z**(-116272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010100001101101110000 (base 2) to base 16.\nAnswer: 2a1b70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f = -6*f - 74. Let u = -74 + 120. What is the remainder when u is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3 = p, -2*o = -p + 1 + 2. Suppose 8*f - 516 + 148 = 0. Suppose 51*k - 20 = f*k. Solve 0 = 3*z + k*w - 8, 0*w = -p*z - w + 2 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**2 + 13*z - 12. Let p be q(8). Let y be (-3*3\/p)\/2. Let u = -145 - -145.5. What is the closest to 0 in 0.4, y, u?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -43371\/1141 or -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000484547 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 58, 182, 376, 634, 950, 1318?\nAnswer: 1732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -45, -37, -29, -21, -13, -5?\n\"Answer: 8*m - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2559.2 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53127, 53128, 53129, 53130, 53131?\nAnswer: 53132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/3 - 245760*f**2 - 1280*f.\nAnswer: -5*(384*f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4459 + 4459 - 31*r**2 as s + d*r**2 + p*r and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2610)\/(-378))\/29*666\/185?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -14*a**2 + 17*a + 3. Let s be o(-8). List the prime factors of s*(0 - (0 + 1)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1166?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 5*s**2 - 7*s - 4. Let l be d(6). Let r(f) = 10 - 8*f - 3 + 23*f - 14*f + 0. Calculate r(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -627574, -627576, -627578, -627580, -627582?\n\"Answer: -2*j - 627572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 AM and 12:48 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10670677?\nAnswer: 10670677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((1*sqrt(84))\/sqrt(2) - sqrt(42))\/sqrt(3))\/(sqrt(63)*-4 - sqrt(28)\/sqrt(16)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/3 - 2\/(-3). What is the biggest value in 20, i, -1?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((54\/(-182))\/(456\/(-532)))\/(-10*48\/(-320))?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-3)*36\/(-30).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.5 (b) 5 (c) 52 (d) -220\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nny when three letters picked without replacement from nynynnyynyynnyyy?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 3172.\nAnswer: -3171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ertrtwxrrtwotee. What is prob of sequence toe?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 819583 a multiple of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0*-3*(-4)\/(-36). Let d(k) = k - 2. Let f be d(4). Factor -2 - 2*q + i*q**2 - f*q - 2*q**2.\nAnswer: -2*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 382 - 373. Solve -l*q = -1 - 26 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 469649689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 95 + -55. Suppose 223*g = 235*g - 1200. Let n = g - l. Is 24 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 87094.12 meters?\nAnswer: 87094120000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 581120.78768197 - 580632.78768. Let h = -488 + o. Round h to six dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 70 = -2*u + 196, -2*s - 4*u + 130 = 0. Suppose -2*w = -y - 6*w + s, 3*w = -6. What is the tens digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3001230 (base 5) to base 12\nAnswer: -232a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 825 + -1868.13\nAnswer: -1043.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 0 - 3)*(0*b + 3*b + 2*b)*(1181 + 60 + 1153) to the form r + v*b and give v.\nAnswer: -11970","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -475, -934, -1393, -1852?\n\"Answer: -459*h - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 3:47 AM?\nAnswer: 10:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(1\/3))**(-26) assuming x is positive.\nAnswer: x**(-182\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 4*d**2 - 7*d. Suppose 11 = -0*l - 2*l - f, -29 = 3*l + 4*f. Let w be z(l). Is 3\/((w\/1174)\/2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**3 + 2*x - 2*x**2 - 6*x + 0*x**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1711 = 3*m + 5*i, 2*i = 2*m + 3*i + 1143. Let b be 296\/m + 1\/(26\/4). Which is bigger: b or -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2871659999.\nAnswer: 13, 67, 253613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/8 + 189*m**2\/4 + 375*m\/8.\nAnswer: 3*m*(m + 1)*(m + 125)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 7005772?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, u: 7, m: 2, i: 7}. Give prob of picking 3 u and 1 m.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from {t: 2, j: 1, m: 2, p: 13, o: 2}.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 44?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**4\/8 + c**2. Let l(i) = i**3 + i**2 - 20*i + 11. Let t be l(7). Let d(b) = t + b - 263. Determine q(d(x)).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fgmgevvggggvg. Give prob of picking 1 v and 2 g.\nAnswer: 63\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 - 1.39649629.\nAnswer: 27.60350371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/77 + 1503\/(-7). Let y be (-3)\/(q\/40 + 5). Suppose -9*c = -y*c - 1. Solve 5*b - 6*b = -c for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -0*a - 2*a, 2*p + 2*a = 4. Suppose p*j - 12 = -4. Suppose j*k - 4*l - 20 = 0, 0*k = -5*k - 3*l + 11. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25189 - 25165. Suppose -89 = -5*d - 4*q, -d - 20 = -2*d - 3*q. What is the remainder when a is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -62? (a) -19 (b) 2 (c) 1\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1700652091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 10) to base 9.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 19*w**3 + 8638*w**2 + 5*w + 10. Let o(n) = -8*n**3 - 4318*n**2 - 2*n - 4. Give 2*b(m) + 5*o(m).\nAnswer: -2*m**3 - 4314*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 188858*r - 566562. What is h(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 + 11 - 5 - 6) + 82 + 11?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 - s**2 - s + 3. Let z be y(0). Let b = 8 - z. Suppose -b*c = -c - 8. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -15135370 to the nearest one million.\nAnswer: -15000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 957609 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b**3 + 15*b**2 - 15*b + 24. Let x(r) = -2 + 183*r - 184*r - 4*r**3 + 5*r**3 + r**2. Let o(l) = -k(l) - 4*x(l). Give o(18).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - g + 13, 4*p - 5*g = 38 + 11. Suppose p*h = h + 60. Let c = 11 + -7. Solve -4*s - h = c*t, 2 = 3*t + t - 3*s for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(1425\/(-2850))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688566387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**2 + 7*l + 4. Let k be o(7). Suppose 0 = 4*b + 8, 5*a + 6*b = k*b + 11. Solve -9 = a*m - 4*s, -5*m + s = -s + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l - 1. Let i be m(-5). Let n = i - 13. What is the closest to n in -0.3, 2, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 971 - 970.99178. What is g rounded to 4 dps?\nAnswer: 0.0082","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7886 is divided by 773?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 25 = 61. What is the nearest to -2 in 2, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -1 - 12\/(-3). Suppose -8*r + 90 = -x*r. Let v = r - 41. Round v to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((3 - 3)\/1)\/1. Suppose 0 = -w*z - 2*z + 6. Suppose z*n - 2*j = 4 + 14, 0 = -5*n + j + 37. What is the smallest common multiple of 1 and n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of -20*d + 0*d**4 - 19*d**2 + 0 + 0*d**3 + 7\/20*d**5. What is the first derivative of w(i) wrt i?\nAnswer: 21*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 1. Let r be (-4 - -4)\/((-2)\/p). Differentiate a**2 + r - 2*a**2 + 2 wrt a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33796597369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 19*v + 7*v + 6.\nAnswer: 26*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/3)\/(17\/(-663)). List the prime factors of (m\/(-65))\/((-4)\/350).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 984995.6 kilometers to meters.\nAnswer: 984995600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29536*j - 96 = 29544*j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402985889, -402985888, -402985887, -402985886, -402985885, -402985884?\nAnswer: -402985883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-12)\/22)\/(-3) + (-3528)\/(-198). Calculate the highest common factor of i and 234.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*y - 5*y**3 + 1 - y**2 - 364*y**5 + 3 + 371*y**5 + y**2 wrt y.\nAnswer: 140*y**3 - 30*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5, 1\/5, -0.2, -1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28465 - -36399. What is the ten thousands digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -286867551068?\nAnswer: -286867551067.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 9:09 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2. Let u be r(6). Let a = u + -44. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -a - 8559*a**3 + 9045*a**3 - a in the form m*a**2 + j + i*a + f*a**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 15*q = 60. What is the remainder when q is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15326 divided by -1?\nAnswer: 15326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2279, -4, -3, -127 in descending order.\nAnswer: 2279, 7, -3, -4, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 2:44 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.9 and 0.38817?\nAnswer: 0.737523","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2537*d**2 + 291129*d - 291129*d to v*d**2 + w*d + a and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 2\/3, -2, -3\/8, 31\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of b**5\/60 - b**3\/6 - 43*b**2. Let q(z) = 5*z**3 + 7*z**2 + 8. Let j(m) = -6*p(m) + q(m). Differentiate j(o) with respect to o.\nAnswer: 15*o**2 + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5\/4, 116, 0, 690\/13, -0.1, 3, -4?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13963 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -3*a**5\/20 - a**4\/6 + 11*a**3\/6 + 17*a**2\/2 + 13*a - 2. Let r be (-1 - -1) + (-32)\/4. Is t(r) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8, -9, 6, 37?\n\"Answer: 8*u**2 - 25*u + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 10:08 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.1 (b) -0.01 (c) 1\/10 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/13, -0.00675, -2\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 226, 285, 386, 529, 714?\n\"Answer: 21*w**2 - 4*w + 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 42*w - 6. Let d(s) = -42*s + 5. What is -4*d(m) - 3*y(m)?\nAnswer: 42*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1889 is divided by 86.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2097 + -1479. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 1, -0.09, 694\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 481 + -363. Is 31 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -215 + 230. Solve 5*h = -4*m + 5, -5*h = -4*m + 6*m - k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52261879 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -53, 2\/5, 6, 1\/4, 99\/4, 0?\nAnswer: 99\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 134 - 134 + 12*a - 4*a - 7 + 7 + (2*a + 4*a - 4*a)*(1 - 1 - 1) + 193 - 193 + 18*a in the form j*a + x and give j.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 9819*v**2 - 78408*v + 156720.\nAnswer: -3*(v - 3265)*(v - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17544?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10507, -8475, -5121, -445?\n\"Answer: 661*s**2 + 49*s - 11217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*u - 407 = 55*u + 58 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3314.59 less than 58810.336?\nAnswer: 62124.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-7 - 0 - (-7 - 5)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -335 = -2*i + 5*r, -105*i + 788 = -100*i + 4*r. Calculate the highest common divisor of 64 and i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*(1 + sqrt(208)) - (-4*(-2 + sqrt(208)*1))**2.\nAnswer: -3388 + 272*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in d**2 - 36404397*d + 29 + 36404397*d.\nAnswer: d**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imflf. Give prob of picking 4 m.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 8*t**2 + 132*t - 82. Let m be p(-18). Solve 55*n = 196 + m for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 4:59 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((35750\/455)\/(-55))\/((-2)\/(84\/15))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (59\/((-14868)\/72))\/(-1 - 4 - (-21330)\/4270)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-99)\/(-15) + (-3 - (-24)\/10). Calculate the highest common factor of w and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z + 4*p + 14 - 73, 0 = -2*z - 4*p + 26. Solve z*d + 2 = 13*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**5\/30 + 19*p**4\/24 - 2*p**3\/3 + 81*p**2. Is o(15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/61186736 and 89\/30593368.\nAnswer: 61186736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -69\/4 (b) -6 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.99941 + -0.00059. Which is the nearest to -1\/3? (a) s (b) 0.2 (c) 0.4508\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 34 + 10)*(-2 - 5*k**3 + 1 + 6*k**3) as h + c*k**3 + a*k**2 + j*k and give h.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11388198 to the power of 1\/2, to the nearest integer?\nAnswer: 3375","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r + 38. Let m(g) = g**3 + 6*g**2 - 28*g - 4. Let a be m(-9). Let u be o(a). Solve 2 = 5*b - u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -63, -232, -541, -1062, -1867, -3028, -4617, -6706?\n\"Answer: -12*g**3 + 2*g**2 - 91*g + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 31901805 and 21.3.\nAnswer: 31901826.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (44*a - 65*a + 43*a)*(0 - 4 + 6)*(-4*a - a + 4*a) + a**2 + 4*a**2 - 3*a**2 in the form h + j*a + f*a**2 and give f.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 670790 + -670790.0890074. Let s = w - -0.089. Round s to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + -3 + 112 + -18 + 6.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 - 4*f - 2. Let c = -85 + 93. Suppose z = 5*r - 6*r - c, 4*r = z - 12. Determine w(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -17, -3, -2\/3, 11, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -485882.58400116 + 485929.584. Let q = a + -47. Round q to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -10*b + 9292, -f + 5*b = 4*b - 2309. Is f a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 656244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*((-18)\/15)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 30 = 3*m - 3*k, -5*m - 4*k = -5. Suppose -y = -5*t + 16, -4 = -2*y - 3*y + 4*t. What is the remainder when m is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of h**4\/12 - 6*h**2. Let i(o) = -7*o**2. What is q(i(w))?\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21223*r**2 + 63669*r**2 - 21223*r**2 - 21219*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 10*d**2 - 17*d - 14. Let t be a(13). Calculate the greatest common factor of 17 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 580184?\nAnswer: 4061288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -4*d + 3. Suppose -d = -z - 5*r - 4, 4 = z - r. Suppose -3*s = -z, -5*u + s + 2688 = -s. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/52)\/((-4)\/(-16))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4}. Give prob of sequence tt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 173718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes after 9:39 AM?\nAnswer: 5:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(18\/(-4)))\/((-24)\/(-108)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -72*j - 6. Let c(m) = 796*m + 65. Determine 2*c(y) + 23*l(y).\nAnswer: -64*y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11714868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -5\/4 (b) -0.01934 (c) -32 (d) 2\/13 (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3951755*k**4 + 1569462 wrt k.\nAnswer: -15807020*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 142*y**5 - y**3 + 350*y**2.\nAnswer: 8520*y**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**3\/2 + 9*j**2\/2 - 9*j - 12 = 0. Calculate j.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 16\/6 - 2)*0. Suppose 59*x - 58*x - 9 = v. Is 1577\/x - -1*6\/(-27) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 + 4*f - 4. Suppose d - 19 = -5*p + 4, -2*d = -5*p + 14. Determine k(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 215 = -9*j, 740*j + 40 = 2*d + 738*j for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -88 - -90. List the prime factors of 58 - ((-1 - m) + -2 + 2).\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 18130090?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1581, 1887, 2395, 3105, 4017, 5131?\n\"Answer: 101*x**2 + 3*x + 1477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 164612*d**2 + 195924 wrt d?\nAnswer: 329224*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -451 divided by 4?\nAnswer: -451\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 147555615 by -29511123.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 11*t**2 - 8*t - 2. Is z(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1 + 4 - (-52)\/(-13))*-143. Suppose -m = -g - 14. Suppose -4*f + 3*c + 881 = 0, -f + 5*c + g = -87. Calculate the remainder when f is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 21 - 85. Is -1 - z\/(2 - 1) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/8 and 33\/1373.\nAnswer: 10984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 18354313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2, 43, 170, 421, 838, 1463, 2338, 3505?\n\"Answer: 7*z**3 - z**2 - z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30314128?\nAnswer: 2, 13, 17, 8573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2685 divided by -3?\nAnswer: -895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17.67 - 39.87. Put z, 3, 4\/3 in decreasing order.\nAnswer: 3, 4\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(5*4\/20). Sort -4, -5, r, 4 in decreasing order.\nAnswer: 4, r, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 + 1 = -3*s. Let q = 9 - s. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 302027624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 50531321 (base 7) in base 10?\nAnswer: 4209458","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 4*r + 16. Suppose -5*s + 3*g + 9 = 0, 21*g + 12 = 4*s + 17*g. Determine m(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 1725*n**3 - 812*n**3 - 774*n**3 to g*n**2 + b*n + i*n**3 + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2455, 9767, 21937, 38965, 60851, 87595, 119197?\nAnswer: 155657","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffndzyyyrnf. What is prob of sequence yzy?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 88256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of 6062*x**3\/3 - 1623*x + 4356. Find the first derivative of h(a) wrt a.\nAnswer: 12124*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -23 - -5) + -16?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/16 of a week?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -p + 207, 0*g - 4*g - p + 1761 - 1000 - 923 = 0 for g.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18828 divided by -1485?\nAnswer: -2092\/165","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 386b + 56c?\nAnswer: 410a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/430 and 9\/301.\nAnswer: 3010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5\/6757 - -6732\/33785. What is the nearest to o in 66, -0.1, 2\/9, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/7 (b) 0 (c) 9\/7 (d) -160\/39\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p + p + 6*p**2 - 4 - 4*p. Let k(t) be the second derivative of t**4\/12 - t**3\/6 - t**2\/2 - 433*t - 35. Give -f(a) + 4*k(a).\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -27*r - 2723. Let z be g(-101). Solve -2*n = -z*d - 2, 5*n = d - 0*d + 23 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*t + 3)*(t + t - t) + 41*t**2 + 1 + 2 + 9*t**2.\nAnswer: 52*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w - 310 = 10*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23432 and 464?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -160577, -160574, -160571, -160568?\nAnswer: -160565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**3 + 17*z**2 - 104*z + 7. Calculate y(-20).\nAnswer: 887","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -311, -526, -739, -950, -1159?\nAnswer: -1366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1 = -5*h, -4*h - 3 + 7 = 4*f. Let j(x) = -7*x - 17. Let b(z) = -2*z - 6. Give f*j(a) - 11*b(a).\nAnswer: -6*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2992 + -2025. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*w**2 + 0*w**2 - 14*w**3 + 28*w**3 - 25*w**3 wrt w?\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181985942 to the power of 1\/5, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 5*q**2 + q - 1. Suppose -3*b + 0*s + 12 = -3*s, -5*b + 4*s = -21. Let i be o(b). Solve -4*g - 41 = 5*w, -2*w + 0*w = i*g + 26 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/143 and -25\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 47?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) - ((-1*sqrt(162))**2 + -1)) + -2)*3.\nAnswer: -489 + 27*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 757482910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43, -278, -663, -1192, -1859, -2658, -3583, -4628?\nAnswer: -5787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19592*n**4 - 1243*n**3 - 577662180*n**2 wrt n.\nAnswer: 470208*n - 7458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 19*w**2 + 35*w - 8. Let n be o(17). Let z(f) = -f**3 - 6*f**2 - f - 6. Let x be z(-6). Solve x - n = -3*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -30 - -32. Suppose d*u + 4 = -2*u. Are u and -11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l + 0*l)*(-1 + 1 - 1) + 4*l + 0*l + l + (1 - 4 + 1)*(-1 + 1 + l) + l - l - l + (10 + 1 - 1)*(-4*l + 0*l + 3*l).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8*((-6)\/4)\/(-3). Let u = -52955 - -52954.88. Which is the third biggest value? (a) j (b) u (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240446*q - 240365*q - 405 = 0. Let h be (-1 - (-1)\/(-4))*4. Which is the closest to 3? (a) q (b) -0.04 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the third derivative of -13*l**4\/24 - 11*l**2. Let b(z) = -2*z**2. Calculate b(d(g)).\nAnswer: -338*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - o - 2*o + 0*o)*(171 - 92 - 176)*(2 - 3 + 2)*(-o**2 + 2*o**2 - 4*o**2) to the form p*o**3 + t + u*o**2 + w*o and give u.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 16404.6?\nAnswer: -16404.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**2 + 8*l + 2. Let p(h) = h - h**2 + 3 - 2 + 2*h. Let v(c) = -2*c**2 + 10*c + 13. Let w be v(8). Let y = 32 + w. Give y*z(a) + 8*p(a).\nAnswer: a**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + -67403?\nAnswer: -67402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6*(-5)\/630*3)\/((-10)\/(-35))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47268\/35 + -1361. Let z = k + 51\/5. Let x = -2 + 1.6. Which is the third smallest value? (a) z (b) 2\/7 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 8:01 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -41*n + 45*n - 44 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3*5*51\/(-153)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**5\/30 + 21*f**2 + 10*f. Let q(w) be the third derivative of w**2 + 3\/4*w**4 + 0 + 0*w + 0*w**3. Calculate u(q(x)).\nAnswer: -648*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -179 - -191. Suppose o*d - 27818 = -2*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 184 divided by -6\nAnswer: -92\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 590 is divided by 85?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -235, -447, -659?\n\"Answer: -212*s - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 196 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 17023 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 375 at most as big as 375?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/10*(-67)\/(-7504)*-70\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 298621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - -1. Let l = j - 1. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 188*j**5 - j - 18 wrt j.\nAnswer: 3760*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r - 12. Suppose 0*h - 2*h = -10. Let n = h - -3. What is the units digit of y(n)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 7:52 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 196 + -201. Put c, -0.4, 1, -2\/9 in increasing order.\nAnswer: c, -0.4, -2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 7:37 PM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 + 56. Let u(o) be the second derivative of 0*o**2 + 0 + 1\/2*o**3 - 111*o. Give a(u(c)).\nAnswer: 9*c**2 + 56","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.23916216 to 3 decimal places.\nAnswer: 0.239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, b: 2, y: 2, h: 1}. Give prob of picking 3 b and 1 h.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 8*j + 444. Does 18 divide q(-42)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oc when two letters picked without replacement from {o: 2, b: 1, u: 1, c: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -33, -5, -3, 80358 in increasing order.\nAnswer: -33, -5, -3, 5, 80358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l + o, 2*l - 14 = -o - 5. Suppose -l*i - 2*r + 190 = -438, -2*i + 4*r + 232 = 0. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.08 - 0.38. Suppose 2*n = -5*l - 1, -2*n + 5*l - 6 = -15. Which is the smallest value? (a) -2 (b) x (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m - m)*(0 + 0 - 2)*(-2 + 0 + 4)*(25 - 25 + 38*m**2).\nAnswer: 152*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1153*s - 1148*s + 35 = 0 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-11) + (-2)\/11. Let x(k) = -9*k + n + 8*k - 2. Let c be x(-3). Calculate the greatest common factor of 4 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r + 4. Suppose 2 = -21*v + 23*v. Suppose 18*t + 29 - 101 = 0. Let q(n) = -n - 1. Give t*q(j) + v*z(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.03, -5\/2, -0.12, 4?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 20*(-21)\/84 + (-2)\/(2\/13). Let q(z) = -z**3 - 19*z**2 - 17*z + 13. Determine q(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79505 - d**2 + 39757 + 39748.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 6) to base 16.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 115 is divided by 109.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 730a3 (base 16) to base 5.\nAnswer: 110034303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -s**3*z**2 - s**3 + 2*s**2 - 107*z**3 + 3*z wrt z.\nAnswer: -2*s**3 - 642*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/18625090?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*w**2 - 68*w - w**3 - 2 + 31*w**2 + 1 - 5 - 75*w**2.\nAnswer: -w**3 - 68*w - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 0.3767752 nanograms?\nAnswer: 0.0000000000000003767752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/22139136 and 41\/1383696.\nAnswer: 22139136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.12, -4, 47\/14, -225\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*m - 2*v, 0 = 4*m + v - 2 + 1. Let n be (7 - 8)\/(6\/2). Which is bigger: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28178*g**4*z**2 - 11*g*z - 2*z**2 - 10*z - 375362 wrt g.\nAnswer: 112712*g**3*z**2 - 11*z","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Solve -308*a + 3530 = 2025 - 6503 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/14 - (6 - (-60460)\/35). Are g and -1733 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*m, 5*z + 4*m = -m + 160. Suppose -2*i - 4*x = 3*i + z, i + 3*x = 2. Let a = -7 - i. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 1824*v + 1820.\nAnswer: 4*(v - 455)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:04 AM and 7:07 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 14.87112 hours?\nAnswer: 53536032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from sssossossss.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 432 is divided by 88?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*c = 527, -5*o + c + 2730 = 2*c. Suppose n - 343 = o. Let q = n - 509. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - r + 304 = 0, -i + 5*r + 347 = 307. What is the lowest common multiple of 120 and i?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18988 * -0.0207\nAnswer: 393.0516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + o + 2*o)*(2*o**2 + 1 - 1) - 11 + 11 + o**2 - 3*o**3 + 149*o**3 - 26*o**3 + 278*o**3.\nAnswer: 400*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 150 + -145. Let y(j) = 3*j**2 - 11*j - 16. Let o be y(z). Solve -3*s + o*c + 11 = 0, -c - 19 + 8 = 2*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1062115476.\nAnswer: 2, 3, 83, 113, 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 3*g + 54 = 0, -337*a - 2*g = -289*a + 36 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.37 (b) -3 (c) -0.1 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l**2. Let f = -6058 + 121167\/20. Let n(s) be the third derivative of 20*s**2 + 0*s**3 + 0 + 0*s**4 - f*s**5 + 0*s. Give n(x(v)).\nAnswer: -84*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - 12*k + 16. Is c(-8) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/162 - -329\/810. Which is the nearest to 0? (a) x (b) 2\/3 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 11:04 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 14*p + 1. Is m(7) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 524, 2086, 4692, 8342, 13036, 18774?\nAnswer: 25556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**5 + p**3 - p**2 + 1. Let w(d) = 26*d**5 + 3*d**3 - 3*d**2 - 11*d + 3. Let v(m) = w(m) - 3*x(m). Find the second derivative of v(a) wrt a.\nAnswer: 460*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1619709.08 to the nearest 1000.\nAnswer: -1620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 2*l. Suppose -6 = 5*p - 31. Suppose -x = -2*o - p + 2, -4*x - 27 = 5*o. Let m be v(o). Solve -5*d - 25 = m*f, -18 - 2 = 4*f + 4*d for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 261 - 261.01. Which is the closest to 1? (a) 0.3 (b) -0.4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rcfgrgngcrcgggcfgrog. What is prob of sequence nfrf?\nAnswer: 1\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of p**3\/6 + 2*p**2 - 7*p. Determine h(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 82 and 226051245?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -4. Suppose 104751 = -4*g - 4*u + 33795, -3*u + 70977 = -s*g. Let l = -319439\/18 - g. What is the common denominator of l and -9\/20?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 31*p. Let z = 11 + -47. Let j = z + 38. Let v(w) = -4*w - j*w + w + 3*w. Give s(v(r)).\nAnswer: -62*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -6, 8 in descending order.\nAnswer: 8, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5377, -23425, -53505, -95617, -149761?\nAnswer: -215937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - j - j - 93894 = 0, -156506 = -5*i - 2*j. Round i to the nearest 1000.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 5448.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1595216 and 112.\nAnswer: 1595216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27.79376 micrometers?\nAnswer: 0.02779376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 344*q + 9563 + 69 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + (-36 - -9) + 14 - -15) + -54.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1285*y + 133. What is the thousands digit of i(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7)\/r)\/r)**(-21\/2)*(r*r**(-3)*r)\/r**(2\/35) assuming r is positive.\nAnswer: r**(593\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + -2. Let v(w) = -w**2 + 4*w + 3. Let o(u) be the third derivative of 0 - 17\/24*u**4 - 13\/6*u**3 + 17*u**2 + 0*u + 1\/15*u**5. Give i*v(j) - 2*o(j).\nAnswer: j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times -0.14?\nAnswer: -1.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 3*m + 0*m**2 + 31 - 2*m + m - m**2. Does 2 divide a(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -93 + 34 + 30 - 2*m + 36. Let u be (4\/(-3))\/(4\/(-18)). Give j(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -8898*h + 45 + 8898*h + h**3 - h**2. Let c = -1 - -1. What is the tens digit of p(c)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4502*p - 4503*p - 4498*p + 18003*p - 4495*p.\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 7*u**2 - 12*u - 270. Let q be m(35). What is the greatest common divisor of 95 and q?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.366021 hours to milliseconds.\nAnswer: 33717675.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1728 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.07 + -0.77. Which is the nearest to 1? (a) -0.2 (b) 5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.0969? (a) 3\/2 (b) 0.1 (c) 1\/2 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 4*z**2 + 27*z - 14. Calculate f(-7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -3*y. Let c be u(-1). Let v = 1864 + -1863.6. What is the smallest value in v, 0, c, 0.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 2*u + 28, -3*f + 2*u + 2*u - 16 = 0. Suppose 83 - 42 = 401*k + 41. Put k, f, -1\/3, 3\/4 in increasing order.\nAnswer: f, -1\/3, k, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 685 = 20*t - 19*t. What is the hundreds digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p - 11888. Let j be b(0). Let i = j - -261489\/22. Find the common denominator of 47\/18 and i.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84 is divided by 28?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4*j**2 - 59*j - 2. Let x(u) = 4*u. Give w(x(l)).\nAnswer: -64*l**2 - 236*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/((4\/(-15))\/2) + 3. Let q be ((-4)\/(-8))\/((-3)\/l). Let d = -94\/5 - -18. Sort d, q, 0.1 in decreasing order.\nAnswer: q, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 0*x + 0*x. Let o(s) = 2*s**2. Determine z(o(t)).\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (642\/12)\/((-1)\/(-64)). Suppose 5*l - a = 4*u, l = -l + 2*u + 1368. Suppose 2*y - l = -5*d - 44, 3*y = 6. What is the remainder when d is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114548 is divided by 2664.\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 39227 - 13483. What is the ten thousands digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35 - -2166261521892\nAnswer: 2166261521927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y**2 + 153*y + 143. Give b(52).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 124, 305, 604, 1021, 1556?\nAnswer: 2209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-297)\/198*14\/(-49). Factor -27\/7*j - w*j**2 + 30\/7.\nAnswer: -3*(j - 1)*(j + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-220)*3112\/(-13226)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-414)\/(-92)*(-18)\/(-15)*-2*(-10)\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121 - -3143124?\nAnswer: 3143300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/((-252)\/27)*(-12)\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*l + 2*l - 8*l)*(-2 + 11 + 0)*(50 - 72 + 62) in the form r + s*l and give s.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2027 - -2028. What is the greatest common factor of h and 775?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, a: 1, d: 2, y: 7, z: 6}. What is prob of sequence bbya?\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 232 and 232.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.041 (b) 1.9 (c) -2\/121\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12\/11 (b) 0.0672 (c) 6 (d) 0.3 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -259 by 2448.\nAnswer: -259\/2448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - 1) + (-2835)\/(-1300). Let a = 1\/52 + b. Sort 0, a, 4, 5 in decreasing order.\nAnswer: 5, 4, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44\/3*(-6)\/(-4) is divided by (-11 - 1344\/(-45)) + 3\/(45\/2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -233.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2608*f**3 - 33*f**2*r**2 + 1098*r**2 - 18 wrt f.\nAnswer: -7824*f**2 - 66*f*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.9 - 5.8. Let f(j) = -j**3 + 3*j**2 - j + 2. Let n be f(2). Suppose 0 = -5*u + 10, 1 = -5*s + n*u + 3. Is s < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*p + 884, -3*a = p - 1145 + 241. Calculate the remainder when a is divided by 59.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millisecond in microseconds?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fauig. Give prob of sequence fu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -908091198 divided by 18\nAnswer: -50449511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 7*q**2 + 23*q - 19. Let l(p) = -2*p**2 - 6*p + 5. Let a = -10 - -4. Let g(j) = a*k(j) - 22*l(j). Factor g(s).\nAnswer: 2*(s - 2)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmlllppdllllllpl. What is prob of picking 1 l and 2 p?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 13*k - 5. Let b(o) = -7*o**2 + 380 + o**2 + 378 - 758. Give b(r(m)).\nAnswer: -1014*m**2 + 780*m - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -355108 - 0?\nAnswer: -355108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -378 = -10*f + 72. What is the lowest common multiple of f and 30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1296 is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2770 is divided by 44?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15.25*0.072463.\nAnswer: -1.10506075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -74442*r + 223324. Give p(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**3 + 2*q**2 + 15. Let s = 14 + -69. Let j = 55 + s. Let k be h(j). What is k rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -183620, -186457, -189294, -192131, -194968, -197805?\n\"Answer: -2837*g - 180783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (63*(-240)\/22680)\/(20\/(-9)).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 1) + -551 + 549 - -13.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4368385 to the power of 1\/3, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 1412 divide 1043000628?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -504786569*a**2 + 798603882.\nAnswer: -1009573138*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**2 + 12*j - 41. Let u(d) = -2*d**2 - 13*d - 10. Let w = -52 + 45. Let q be u(w). Is 11 a factor of z(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 3*v, -f = -58*v + 57*v + 21 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 - -0.298447.\nAnswer: -1.701553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -696, -3114, -8942, -19884, -37644?\nAnswer: -63926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, h: 1, n: 3, l: 1, r: 2, f: 3}. What is prob of sequence hrlo?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.6+12447981.781161\nAnswer: 12447979.181161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.3*0.055\nAnswer: -0.0715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1561 to the power of 1\/2, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 357523204?\nAnswer: 2, 2347, 38083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 d, and 1 x when four letters picked without replacement from {l: 7, d: 2, x: 6}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 12:41 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 182733*f - 2177*f**3 - 181504*f + 3 - 3 + 51*f**3 wrt f.\nAnswer: -12756*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1250*d**2 - 196*d - 4. Let y(r) = -r - 1. Let q(u) = w(u) + 4*y(u). Factor q(g).\nAnswer: -2*(25*g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 + 4*h. Let g(c) = 4*c**3 + 34*c**2 + 17*c + 5. Let n be g(-8). Let k(b) = b**2 - 3*b. What is n*d(u) - 2*k(u)?\nAnswer: u**2 - 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*x + 13*x + x + 2*x**4)*(2 - 7 + 3) + (-3*x**3 - x**2 + x**2)*(52 - 52 + 6*x).\nAnswer: -22*x**4 - 50*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 349 - 232063?\nAnswer: -231916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4*u = -191, 2*r + 153 = -4*u - 209. Let i be (-20)\/(-15)*r\/6. Let f = i - -60. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 229031 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -737*h**3 + 63*h**2 - 15*h - 28. Is p(-9) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8844843.6 + -3?\nAnswer: -8844846.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 435 = 3*z - 687. Let u = z + -251. Calculate the highest common divisor of 82 and u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 + 28*n**2 - 28*n + 33. Calculate the remainder when 8 is divided by k(27).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4*l = -16, -2*l = 3*l - 10. Let v = 16\/11 - 47\/55. Let o = -0.01 + -0.09. What is the biggest value in b, o, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 8. Let d = 43 + -55. Let t be f(d). Solve t = -4*s + 36 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -10 + (-2 - (-6 - (1 + -5))) - -1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 39134102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 84.16732 millennia in decades?\nAnswer: 8416.732","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - -1. Let h be (-1 - p)*361\/38. Let r = -37 - h. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1201231210 (base 5) to base 4\nAnswer: 22201122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.008 - 6.592. Let q = 6.8 + g. Which is the smallest value? (a) 3\/7 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 34 - 2*i + 2*i + 2*i + 9. Give t(-21).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 9, 3, 10, -1, -3 in descending order.\nAnswer: 11, 10, 9, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - c**2 - 8*c + 13. Give g(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1088))*5 + -3*(1 + sqrt(1088)))**2 - ((3*(sqrt(1088) + 1))**2 - (-1*(sqrt(1088) + 1 + sqrt(1088)))**2).\nAnswer: -1092 - 48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**5\/s**(3\/4) assuming s is positive.\nAnswer: s**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n + 8. Let o be z(7). Suppose -1 + o = 2*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 69333 and 254221.\nAnswer: 762663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -195.7 - -196. Let n be 1 - (1 + (-8)\/(-14)). Let u = -7 - -7.1. What is the closest to u in n, f, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 10*x. Let z(p) = 3*p - 3*p + 0*p + 2*p**2. Determine b(z(m)).\nAnswer: 20*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(189) + sqrt(189)*1))\/sqrt(7))\/(6*5*sqrt(441) - sqrt(441)) + 2 + -5.\nAnswer: -3 + 8*sqrt(3)\/203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 526 times -2.5\nAnswer: -1315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -7851974 to the nearest one hundred thousand.\nAnswer: -7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.9243606 centuries?\nAnswer: 92.43606","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/5)\/2 - -1. Let a = 3 + -11. Let l be (-13 - a) + 38\/32*4. What is the closest to g in -4, -3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 14) to base 16.\nAnswer: -3c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*h + 28181 = -1098*h + 77504 for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Is 693989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -6, 562, 2, -3\/8, -16?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l**2 - 19*l - 2. Let m(v) = -8*v**2 - 17*v - 3. Let o(k) = -4*m(k) + 3*u(k). Calculate o(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -15, 5, 4, 1\/3, 3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-160)\/(-560) + 114\/(-1680)*-5\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a second in milliseconds?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1170 and 130?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 1 = c - 2*q, 0 = 5*c + 3*q - 49. Let j = 14 - -19. Let h = j - 18. What is the remainder when h is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10.16 - 10. Let p = 0.15155 - 0.31192. Let u = p + v. What is u rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -622\/7, 2\/9, 0.1, -631, 5, 1\/2 in decreasing order.\nAnswer: 5, 1\/2, 2\/9, 0.1, -622\/7, -631","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-128)\/(-6))\/8*(-42)\/4. Let p = x - -32. Solve 2*l + 2*l = -p, l - 3 = -z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4829444232?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x + i + 37 = 0, 596*x - 4*i + 0*i = 594*x - 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (-16 - (16 - (60 - 5))).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.17 (b) -340 (c) 0.4 (d) -0.1 (e) 2\/15 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 946 - 567. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*u - 835 = 380 for u.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3\/5 + 11104*r**2 - 111028*r\/5 + 55512\/5 = 0. What is r?\nAnswer: 1, 13878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -1599.\nAnswer: 6396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 + 95. List the prime factors of k.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5\/4, 0.8, -2\/19, -180?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -53.13 - -52.93. Let l = 2 - 2. Let s = -3.97 + -0.03. Which is the third smallest value? (a) l (b) s (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20 - -6 - 8) + 42309?\nAnswer: 7, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178.88 plus 5139?\nAnswer: 5317.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.79682 at most -0.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 + 10*w - 12*w - 3*w**2 + 28*w.\nAnswer: -w**2 + 26*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n - 6*n + 2*n)*(-8 - 29 - 4) in the form v + x*n and give x.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -118 (c) 5 (d) -2 (e) 960\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62794*g - 17 = -62793*g + 4*z, 2*g + 4*z + 22 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*l + 42*l - 11*l.\nAnswer: 61*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 2. Let d = 2773 - 2770. Let r(l) = -4 + 2*l**2 + l + 2*l - 2*l. Let p(w) = d*r(w) + 5*x(w). Calculate p(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 849 + 55. Put -5, h, -2\/3 in decreasing order.\nAnswer: h, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of -2 + 0*v**4 - 3\/5*v**5 + 0*v**2 + 0*v**3 + 5*v. What is the first derivative of i(t) wrt t?\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-3)*10\/30?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 times -0.431?\nAnswer: -271.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*v - 4976 = 0, -67*a = -70*a - v + 7466. Calculate the remainder when a is divided by 78.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 28 = -30 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 3*y + s, 0*y - 3*y - 4*s + 52 = 0. Is y bigger than 220\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 + -116668?\nAnswer: -116669.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9234?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13\/554 + 69557\/10526. Let g = 958\/133 - x. Put g, 4, -78 in ascending order.\nAnswer: -78, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -257*v = -250*v - 378. What is the least common multiple of 108 and v?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41268527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6696191 take away -0.01515?\nAnswer: -6696190.98485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(325) - 1*sqrt(325)) + 2 - sqrt(325) - (-3*-1*sqrt(325) - sqrt(325))))**2*-5.\nAnswer: -234320 + 4800*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -3770429000 to the nearest one million.\nAnswer: -3770000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 902 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250*x - 4 = 249*x. Find the third derivative of -35*m**2 - 8*m**3 + m - m + 85*m**x - 87*m**4 wrt m.\nAnswer: -48*m - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*d + 1 - 15*d + 1 + 8*d - 4 as t*d + q and give t.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18)\/(-81) - 44\/36. What is the closest to r in -4, -3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.3 from 202625.317441266.\nAnswer: 202625.617441266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 + 10*n + 5. Let j be p(-10). Suppose 5*i - 14688857 = 49175268. Suppose 2372825 = -j*b + i. What is b rounded to the nearest 100000?\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60631?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -321*k**4\/2 + 2*k**3\/3 + 1375*k + 1696. What is the third derivative of n(f) wrt f?\nAnswer: -3852","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (19 - 11 - 54)*(-10*f + 3*f + f) in the form z + u*f and give u.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and 11.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/13 in 0.3, 4\/147, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 399.8 times -0.1\nAnswer: -39.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 27*k + 28*k - 35*k**2 - 55*k to the form b*k + q + l*k**2 and give l.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9379 - 9438.33. Round m to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 896 - 846. What is the lowest common multiple of 200 and j?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6699874 to the nearest integer?\nAnswer: 2588","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -136*b - 1307891 + 1315643 for b.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*b + 78*b + 76*b + 71*b - 304*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.32999 years in months?\nAnswer: 87.95988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/4*q**2 + 0*q - 3\/4.\nAnswer: 3*(q - 1)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318\/53 - 192*13\/286?\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of -922*h**3\/3 + 815*h**2 + 1407*h + 2. Differentiate w(o) wrt o.\nAnswer: -1844","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*v - 685 = 347. What is the lowest common multiple of 9 and v?\nAnswer: 387","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5159, 10224, 15291, 20360, 25431?\n\"Answer: r**2 + 5062*r + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1497*y - 701*y = 1373*y + 1284*y - 291300 for y.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 126858291*z**2 - 13*z - 126858291*z**2.\nAnswer: -z**3 - 13*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/6 + 366\/18. What is the highest common factor of 220 and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8*h = -4*h + 20, -2*v + 2*h + 12 = 0. Let i be 24*(2 - 9\/6). Suppose 4*p = -0*p + i. Solve v*x + p = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k + 3. Let p(n) = n + 1. Let h(i) = -2*a(i) + 7*p(i). Let u(c) = 362*c - 4. Let o(t) = 5*h(t) - u(t). Is o(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 AM and 10:39 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*c + k - 2*k, -3*c - k + 10 = 0. Let o = 0.2 + -7.2. Let f = 7.4 + o. What is the biggest value in c, 2\/7, f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 0.1389357us?\nAnswer: 138.9357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2207*i - 17436 + 67580 + 2824 = 0 for i.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*v + 252 = 35*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1016661*g**3 + 191*g**2 - g + 139742038.\nAnswer: -6099966*g + 382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 249007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1593 - 13113 = -491*n + 15485 for n.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - ((-3 - 3) + 24 + -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.366 * -44.\nAnswer: -16.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 11 = 3*r, 6*r - 4*r + 5*m = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-18) - (-1124)\/6744?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**5 + n**5 + n**5 + (5*n**5 + 2*n**5 - 5*n**5)*(-6 + 0 + 4)*(-4 - 9 + 1).\nAnswer: 49*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 13051824?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**4\/5 + 1052*h**3\/5 + 275622*h**2\/5 - 554404*h\/5 + 277729\/5.\nAnswer: (h - 1)**2*(h + 527)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2080*n**4 - 1041*n**4 + 2*n**3 + 5*n - 1 - 1041*n**4 + 3*n**2 to the form d*n + t*n**3 + w*n**4 + o + f*n**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-60)\/8*6. Suppose 9*u - w = 3*u. Calculate the greatest common divisor of u and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -3*u. Let j(k) = k**3 + k. Let d = 1 + 0. Let g(a) = d*t(a) + 4*j(a). What is the second derivative of g(m) wrt m?\nAnswer: 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/sqrt(1100) + sqrt(45))\/(sqrt(72)\/(sqrt(48)\/sqrt(6))).\nAnswer: 11*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 - (4 + -6 + -4). Suppose j*a = a - 3*s + 2, 6 = 3*a - 2*s. Suppose a*p = 96 - 10. List the prime factors of p.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000004252441 rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1*(-1)\/(-373)). Suppose 0 = 5*n - v + 93. What is the remainder when 6\/9 - n\/(-6) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46 + 45. Which is the closest to x? (a) 0.4 (b) 0.1 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.7 * -1357.\nAnswer: -6377.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8212 is divided by 4100?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1690464 + -1690464.1843211. Let m = u - -0.1844. What is m rounded to 5 decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2219 is divided by 171?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/(-540)*-36*-9*(-3)\/7.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14)\/((-11)\/1 + 15)*(-6)\/7. Solve b*w + 14 = -4 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -4. Let z be i\/(-4) + (-34)\/(-72). What is the nearest to -2 in 4, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/88828 and -19\/36?\nAnswer: 799452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r - 1 + 1 + (0 - 5 + 2)*(0*r - 2*r + 14*r).\nAnswer: -37*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*x + 133 + 71*x + 177 + 233.\nAnswer: -2*x + 543","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 371.4077 - 0.1577. Let d = g - 368. What is d rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -h**3\/2 + 883*h**2 - 154443*h\/2 + 364095 = 0.\nAnswer: 5, 87, 1674","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*t - 11*t + 360. Let h(s) = 14*s - 265. Let m be h(t). Solve -3*d = d - 5*q - 45, m = 5*d + 2*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 8.943 and 0.1.\nAnswer: 0.8943","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6971 is divided by 2298?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8 - -dc?\nAnswer: d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 102.9046*0.01\nAnswer: 1.029046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, j: 1, c: 1, r: 1, a: 2}. What is prob of picking 1 a and 2 k?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/18*(-99)\/66.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 1767 divide 632601903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 3*n + 5. Let p(h) = -3*h - 6. Let v(d) = -5*p(d) - 6*t(d). Let j be v(2). Is j at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/(k*k\/k**(-7)*k))*k)\/(k*k\/k**(-3\/5))*(k*k**(-1\/2))**8)\/((k*k**(1\/4))\/k*k**2*(k*(k**(-1\/3)\/k*k)\/k)\/k**(-4)) assuming k is positive.\nAnswer: k**(389\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a - -1869a?\nAnswer: 18690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 25*q**3 - 38*q**2 + 31*q - 6. Let a(x) = 12*x**3 - 19*x**2 + 16*x - 3. Let t(p) = 5*a(p) - 2*f(p). What is the second derivative of t(h) wrt h?\nAnswer: 60*h - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r. Let b(w) = -2*w - 3. Suppose 15 = j + p, -j - 4*p + 44 = 2*j. Let u(h) = -10*h - 16. Let f(x) = j*b(x) - 3*u(x). Give f(g(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 782, -155, -1708, -3877?\n\"Answer: -308*j**2 - 13*j + 1103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/3*t**2 + 250\/3 + 502\/3*t.\nAnswer: 2*(t + 125)*(2*t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*t + 218, 4*f - 65 = -0*t + t. Let i = t - -67. Suppose -5*b - i = -0. Which is greater: b or -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43601?\nAnswer: 59, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n + 100. Determine r(-24).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**4 - 3*u**4 - u**5 + (2*u - 5*u + u)*(0*u**4 - u**4 + 2*u**4) - 3*u**5 + 5*u**5 + 3*u**5 - 8*u**5 + 6*u**5 - 32*u**5.\nAnswer: -32*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - -3 - (-2 + -1). Let n be -6 + 1 + 6 + -1. Suppose -2*v - a*t = -n*v - 658, -4*t = 3*v - 989. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/4*(-4164)\/18. Suppose 0 = 5*r - 433 - q. Suppose 3*x - r = 39. Is x a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + (-4 - -7) + 3*(-28)\/12. Which is the biggest value? (a) -0.5 (b) -4 (c) 8 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.79 + -0.29. Let z = -3.1 - -3. What is the closest to z in -2\/3, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*n - 69*n**3 + 67*n**3 + 2*n + 2*n.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1076 - 4 - ((3 - -1) + -3). Let u = -566 + d. What are the prime factors of u?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37905.69 tonnes in micrograms?\nAnswer: 37905690000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/(-8))\/((-1)\/24*-3). Suppose -w = r + 3. Calculate the remainder when 6 is divided by 40\/15 - ((-3)\/r)\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*l - 50*l + 53 - 98*l**2 - 51*l + 39*l**2)*(l - 4*l + l).\nAnswer: 118*l**3 - 106*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.9 - -5. Let g = l + 2.9. Which is the closest to 1? (a) 1 (b) g (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23894843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Express 2*o + 65*o**2 + 88*o**3 + 0*o - 63*o**2 in the form p*o**2 + r + v*o**3 + l*o and give v.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the third derivative of -157*l**6\/60 + l**5\/4 + 13*l**3 - 4685*l**2. What is the third derivative of c(x) wrt x?\nAnswer: -1884","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1260 divided by 3.\nAnswer: -420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 - 17*x - 21. Let y be b(13). Suppose 2*a + 39 = 3*h + 7, 0 = -4*h + a + 46. Calculate the greatest common divisor of h and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 9, 30, 73, 144, 249?\n\"Answer: d**3 + 5*d**2 - d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 24.133 + -26.543. Is 5 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196\/(-460) + (1 - 7\/5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -5*x**2 - 4*x - 3. Let w(r) = 9*r**2 + 7*r + 6. Suppose -20 = -p + 5*f, -5*p + 124 = -3*f + 2*f. Let s = p - 18. Determine s*d(i) + 4*w(i).\nAnswer: i**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 0.23879?\nAnswer: 2.62669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + -16 + 7\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 6 = -y. Suppose -2*z - 6 = z, 41 = 5*v + y*z. What is the remainder when 16 is divided by v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 - 104*f**2 - 9881*f + 6708. What is h(164)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.5, 4, -10, 0.4, -44?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -2*w**3 - 4*w**2 - w. Let j be v(-3). Let u = 508 - 484. Let d be 2\/4 - u\/48. Solve d = -5*i - 2*a + a + j, 0 = -5*i - 4*a + 24 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*h + 13*h + 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 6:08 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 234, -9, -4.\nAnswer: -9, -4, 234","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -106*p. Let k(f) = -3*f. Determine r(k(y)).\nAnswer: 318*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*(-5)\/(-1))\/((-170)\/(-18768)*24).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -19. Let p = 30 + f. Solve q - 4*q + x - p = 0, x = -2*q - 7 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1352118297849 and 13.\nAnswer: -1352118297836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is be0 (base 16) in base 11?\nAnswer: 2314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*g + 3*g - 2*g + 2)*(-3*g**3 + 3*g**3 + g**3)*(-4 + 4 + 1).\nAnswer: 23*g**4 + 2*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -371.6995486 + 371.7. Round m to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 + -7. Let a(n) = n**2 + 11*n - n**3 - u*n - 9*n. Let f(z) = 4*z**3 - 2*z**2 + 3*z. Let o(h) = 3*a(h) + f(h). Find s such that o(s) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 544 + 5*u - 1091 + 547 - u. Let c(j) be the third derivative of j**4\/3 + 8*j**2. Calculate g(c(t)).\nAnswer: 32*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 15, 58, 129, 228, 355, 510?\n\"Answer: 14*z**2 + z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -203.6 - -204. Put -7, -0.004, 0, j in descending order.\nAnswer: j, 0, -0.004, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223310 (base 4) in base 7?\nAnswer: 11114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) 0.472 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkxxakaaakk. What is prob of picking 3 a?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21587, -21586, -21583, -21578, -21571?\nAnswer: -21562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.034 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -j + 10. Let x be 53\/(-265)*5\/2*46. Let f = x + j. Solve 0 = 3*z - 7*c + f*c - 6, 3*z - 2*c = 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1782\/(-55) - -20 - 10*-1.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14144717 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + k + 4. Let u be t(-2). What is the highest common factor of 10 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + -201?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1124839 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4071.422m in centimeters?\nAnswer: 407142.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -3*r + 4. Suppose 0 = 9*l - 7*l - 16. Calculate the highest common divisor of r and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 50*u - 12. Suppose -3*x - 37 = -46. Let o be i(x). Let s = o - 83. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-24)*(-8)\/28?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 5:32 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16601.\nAnswer: 13, 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -577, -1165, -1763, -2377, -3013?\n\"Answer: -i**3 + i**2 - 584*i + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -469 - 121*o**4 + 21*o + 469 + 137*o**3 - 140*o**3 wrt o.\nAnswer: -1452*o**2 - 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -0*v + 1556. Suppose 3*y - x + 1145 + v = 0, -637 = y + x. What is y rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1560 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4799 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 21\/(-12) + 1 + 808\/992. Sort 4, -0.1, -7, l in decreasing order.\nAnswer: 4, l, -0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 787 + 2243 = -59*c - 32 - 6 for c.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -441969400 and -0.1.\nAnswer: -441969400.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1225 and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48797, 49356, 49915?\nAnswer: 50474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, 1, -8\/5, 4 in decreasing order.\nAnswer: 4, 1, 1\/8, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(1015\/1740).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 at least as big as 13764\/115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.6688 (b) -4 (c) -175\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1492170103 to the nearest integer?\nAnswer: 1143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -137\/2 or -68?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -4, -69, -3, 5, -5.\nAnswer: -69, -6, -5, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -49.000000181 - -49. Round l to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 274267.\nAnswer: 5\/274267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**2 + 3*z - 13. Let l(s) = -s**2 - 4*s - 4. Let k(i) = -l(i) + u(i). Give k(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 6 - 27)*(4 + 2 - 5)*(-41*y + 41*y - 121*y**2).\nAnswer: 1815*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven halves of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (28 - (-23 + 46 + -7)) + -23\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - -3 - (-1 + 1). Suppose -33 = 3*l - 2*v, 3*l + 3*v = -43 + 10. Let a be 174\/594 + 2\/l. Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7562501 is divided by 6525.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48021630.\nAnswer: 2, 3, 5, 1600721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/7572 and 113\/545184.\nAnswer: 545184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.4 + -13.4. Let l = k + 16. Let t = -13 - -8. Sort t, l, 2 in descending order.\nAnswer: l, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -653.1 to the nearest ten.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + 1012?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000283031808 rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.5 + -13.5. Let g = -17.0000014 - z. What is g rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/78802140 and -41\/32447940.\nAnswer: 551614980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 31 = 2*l, -273*l - 74 = -w - 266*l. Suppose -4*f + 12 = -0*f. Let z(o) = -f - 2*o + 0 + o. Calculate z(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*r**5 - 54*r**4 - 12*r**3 + 146*r**2 - 72 = 0. Calculate r.\nAnswer: -6, -2, -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/530 and -43\/159.\nAnswer: 1590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13*m. Let i(k) = 8403437*k. Give r(i(t)).\nAnswer: -109244681*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10\/75*6)\/((-42)\/(-35)). Sort -3\/7, c, -2\/5, 6\/11, -29 in descending order.\nAnswer: c, 6\/11, -2\/5, -3\/7, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8 - -12*54\/(-96).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -44538 (base 9) to base 3\nAnswer: -1111121022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/759195 and 179\/90?\nAnswer: 1518390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162 - 162 + 5*k - 7*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 675*d + 787 - 787 - 2500*d.\nAnswer: -1825*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 67 = -l, 2*l - 69 = -5*k - 0*l. Let g be ((-6)\/15*5)\/(-1). Suppose -5 = -j + v, j = 4*j - g*v - k. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 1. Let d be n(4). Suppose 16*r = -27 + 27. Suppose r = d*u - 94 - 11. Calculate the remainder when u is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 2 - (384 + -375)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 598 and 1357.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6588654, 13177305, 19765956, 26354607?\nAnswer: 32943258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -574, -1383, -2070, -2641, -3102, -3459?\nAnswer: -3718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 3:14 PM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n. Let m = -14 - -19. Suppose 3*w - 43 = -m*g, -g + 3 = 5*w - 10. What is the least common multiple of g and i(-5)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uupfuppufffgpppu. Give prob of picking 1 p, 2 f, and 1 u.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000300124 (base 5) in base 6?\nAnswer: 110021455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -132 - -224. Suppose -3*u - 127 = -2*w, -2*w - 2*u - 2*u = -s. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2187*a + 2122*a - 4330*a + 2*p = 31, 3*a + 5*p = 22 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 0.2, 2\/9, 0.0191 in decreasing order.\nAnswer: 2\/9, 0.2, 0.0191, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d - c = 10, -4*d - 12 = 4*c - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 - 13*v**2 - 19*v - 11. Let o be g(-10). Let h = 186 + o. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5223 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 550 + 0?\nAnswer: 550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.9, -913, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, c: 1, i: 10, l: 2, o: 1}. What is prob of picking 3 i?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*l - 5 = 0. Let s = 3 + l. Let r = s + -2. Solve 3*f + r = 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7953.\nAnswer: 3, 11, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 84 + -58. Let s = m + -24. Suppose -3*v + 5*j + 2044 = 0, 847 = s*v - 2*j - 517. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -536 + 782. Let n = -212 + r. Which is the third smallest value? (a) -1 (b) n (c) 2\/3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 129\/391220 and -39\/769820?\nAnswer: 23864420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in centimeters?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/43286211 and -86\/33667053.\nAnswer: 303003477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.048709 - 2716.251291. What is g rounded to the nearest 100?\nAnswer: -2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 + -2. Suppose 0 = -a + 3*a - 2. Calculate the highest common factor of l and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 18014.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, n: 5, m: 2}. What is prob of sequence umu?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6 + (-38)\/6 + 15\/(-9). Which is the second smallest value? (a) n (b) 2 (c) -0.32 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + 5*2*sqrt(2))**2.\nAnswer: 300*sqrt(2) + 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-7 - 33) + (-3 - -11)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 - (-2 - 2))*1. Solve -4*k + c + 5 = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5566, -43486, -146406, -346828, -677254, -1170186, -1858126?\nAnswer: -2773576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/(i*(i\/(i*i**0))\/i*i)*i))\/i)\/i**2*(i**(2\/5))**(3\/22) assuming i is positive.\nAnswer: i**(-217\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 - 1 - (-15)\/(-20)*4. Let p be n\/4 - (-11)\/4. Let r(x) = -2*x**2 - x - 1. Let b(w) = 1. Give p*b(c) + r(c).\nAnswer: -2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 2*c + 20, 0 = 3*q - 4*c + 3*c - 22. Let o be 4\/q*-3*-34. What is the highest common factor of o and 204?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*r**2 - 154 - 8*r**2 + 646 + 28*r**2 - 7*r**2 as p*r**2 + j*r + c and give c.\nAnswer: 492","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1463 + -15003?\nAnswer: -16466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1041830*w**2 + w*z + w + 614577*z wrt w.\nAnswer: 2083660*w + z + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:30 PM and 7:20 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-872)\/(-4578))\/(4\/42). Solve -c*y = 6, 9*p + 4*y = 6*p - 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 123\/10 and ((-3)\/24)\/1 + (-1431)\/(-600).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21007 or -714205\/34?\nAnswer: -21007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -69 (b) -0.077 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 1176831, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1141\/(-14181)*(-18)\/(-21)\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2) + 1 + 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 9. Let z be a(3). Suppose z = -3*y + 1145 - 41. Suppose -y + 89 = -3*j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1492*d + 280 = -1464*d for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 729.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -12295 - -45?\nAnswer: -12250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -531*d**2 + 118*d. Let f(h) = 2*h**2 - h. Give -118*f(i) - v(i).\nAnswer: 295*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 312*g + 37 - 312*g + 37*g**4 wrt g?\nAnswer: 148*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 2*q - q + 97, 142 = -3*k + q. Let y = -26 - k. Calculate the remainder when 40 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39160 and 594?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 108127, 108128, 108113, 108076, 108011, 107912, 107773, 107588?\nAnswer: 107351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884608 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -576*p - 510*p = 523*p - 1537*p - 2376 for p.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140 and 301385?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 59896543 to the power of 1\/2, to the nearest integer?\nAnswer: 7739","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*o + c - 5 = 0, 0 = -3*o - 2*c + 7. Calculate the remainder when 81 is divided by 69\/3 - 2\/o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1*1)\/(11\/(-231)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197985 + 4*g - 198012 + 396041.\nAnswer: 4*g + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 150*p**3 - 126455*p**2\/4 - 30595*p\/4 = 0.\nAnswer: -29\/120, 0, 211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/176 and 87\/88?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - z + 2. Let s(x) = -x - 6. Let a be s(-6). Suppose w + w = a. What is the lowest common multiple of c(w) and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -17*t**5\/20 - 2*t + 19. Let p(g) = 52*g**3. What is 10*c(l) + 3*p(l)?\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.03*2303836.\nAnswer: -2372951.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -11\/29435511 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.007 * -0.14.\nAnswer: 0.00098","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**1*g))**(-5\/3)*(g**(1\/4))**(-35)*(g*g\/g**6)\/g*g\/(g\/(g**(2\/21)\/g))*g**(-2)*g\/(g*g**(-2)\/g*g*g) assuming g is positive.\nAnswer: g**(-1175\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6293*m + 38. Let y(u) = 1051*u + 6. Determine -2*j(g) + 13*y(g).\nAnswer: 1077*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 437 = -461. Suppose -2*z + 3*z = y. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31440 divided by -6?\nAnswer: 5240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011261 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.25 + -0.66. Let y = 0.978 + k. Let r = -0.0777 + y. Round r to 3 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10257455?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 3:07 AM?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/36 and -155\/456.\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 + 32. Let r = -57 - -83. Calculate the remainder when r is divided by c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118320615 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 4*l = -12. Suppose -l*g + 69 + 0 = 0. What are the prime factors of g?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2185 + -4371\/2. What is the third smallest value in 1\/3, i, 2\/11, -1\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 45 + -46. Suppose -3*z - 16 = -3*l + 2*z, 0 = -4*z - 20. Which is the nearest to s? (a) l (b) 1\/2 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 1631512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1001341 (base 5) to base 9\nAnswer: 23656","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gul when three letters picked without replacement from uutltggtggtut.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vivu. Give prob of sequence ivu.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - 38. Let j = 35337286 + -35337284.99999995. Let a = r + j. What is a rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*d - 3*d + 7, 0 = -d + 4. Which is the nearest to -1\/2? (a) -5 (b) f (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 5, -1, 9316.\nAnswer: -1, 0, 1, 5, 9316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -79*j + 114. Let t(n) = -39*n + 53. Let x(q) = 13*t(q) - 6*y(q). Let m(u) = 16*u - 2. What is -5*m(w) - 2*x(w)?\nAnswer: -14*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6544747*b - 2*b**2 + 6544751*b + 6544752*b - 19634250*b.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -814 = -33*n - 88. What is the remainder when 3396 is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (-16)\/(224\/34). What is the nearest to 1 in -2, c, 2\/33?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 10:40 PM?\nAnswer: 8:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/36 and 143\/4704.\nAnswer: 14112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -q - 3*i, 0 = 2*q - 0*q - i. Let s(t) = -6*t - 2. Let o be s(-3). Solve q*k + o = -2*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -133*o**3 + 10*o**2 + 16*o + 3. Calculate h(-2).\nAnswer: 1075","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -301\/12 + 139\/3. Calculate the common denominator of g and -23\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-38)\/(380\/25) - 26\/(-12). Let a be 3\/9 + 1\/3. What is the biggest value in i, -1\/11, a, -0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/4 and 103\/3772?\nAnswer: 3772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8537*k*n**3*r + 7*k*n**3*x - 11948*k*n**2*x + n**3*r*x - 2*n**3 + 2*r*x wrt r.\nAnswer: 8537*k*n**3 + n**3*x + 2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, 10, -6, 5, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 7:54 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 18\/(-4))*(-896)\/(-42). Let q be -66 - (0 + 1)\/1. Let v = q - d. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/(-9)*((-12)\/(-32) + 0). Let h = -10 - -11. Which is the nearest to h? (a) 2 (b) 1\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thpppopdhqhqptppdhpt. What is prob of sequence dh?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 311015 = -5*u, 5137 = -2*h - 4*u + 627125. What is h rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1.03, 2\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005591071435 rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 20, 41, 60, 77, 92?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -1) + 60\/12. Calculate the least common multiple of 6 and 2\/o*(1 + 9).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 9*b**2 - 9*b + 12. Let y be n(10). What are the prime factors of 2\/3 + y\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10272*p**2 - 10271*p**2 + 20536*p**2 - 325.\nAnswer: -7*p**2 - 325","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9446 is divided by 2311?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 + 66195543.\nAnswer: 66195556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298159?\nAnswer: 298159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12832, 24564, 44116, 71488?\nAnswer: 106680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1528, 0.1, 53\/27?\nAnswer: 53\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*((-4)\/8 + 3\/(-6)). Find the second derivative of -4*i**2 + 5*i**3 - i**2 - 313*i - z*i**2 + 311*i + 12 wrt i.\nAnswer: 30*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 - 5.5. Let w = y - -4. Let o = w + 1.0075. What is o rounded to three decimal places?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 258937?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -2*q - s, 0 = 5*q + 634*s - 635*s + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 6) to base 4.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -1. Let x(j) = -j + 2. Let u(y) = -4*s(y) - 2*x(y). Let d(l) = 13*l. Calculate d(u(b)).\nAnswer: 26*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 21, 12 in increasing order.\nAnswer: 6, 12, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -35300000 to the nearest 1000000.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 68 and 7697056.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.97319 - 1808.3?\nAnswer: -1842.27319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-11 + 9)\/((-4)\/14). What is the second derivative of -29 + 65 - 31 - g*j + 43*j**2 wrt j?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/17 in -4, 6, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-20)*i**0*(i*i**(-19))\/i**(3\/14) assuming i is positive.\nAnswer: i**(-535\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 10:02 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 279 - 337. What is the common denominator of -21\/52 and j\/(-3)*(-18)\/168?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-49266)\/(-92) - (-3)\/(-2). Let y = o - 529. Solve -f + 3*c - 22 = -y*f, -f + 5*c - 6 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5624\/21 - 1851\/7. What is the common denominator of -101\/12 and d?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11363997 is divided by 3787977.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate k**3*l*r + 13*k**3*l + 73*k**3*r + k*l - 2 with respect to r.\nAnswer: k**3*l + 73*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 106 is divided by 25.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151 is divided by 60.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41291?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(1\/13)*j)\/(j**(-3\/13)*j)*j\/((j*j*(j\/j**2)\/j)\/j)*j*j*j**6*j assuming j is positive.\nAnswer: j**(147\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1973104*q**3*r**3 - 77093*q**3*r**2 + 2*q*r**2 wrt r?\nAnswer: -11838624*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2 - 0)*(-15)\/6. Let u = -59 - -235\/4. Let j be (205\/(-2) + 2)*96\/(-144). Sort u, v, j in decreasing order.\nAnswer: j, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 - 12*f**2 + f + 17. Suppose 6*b - 120 = 16*b. Let c be m(b). Solve 5*l = -3*v - 11, 7 = -c*l - 3*v + 2*v for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence naa when three letters picked without replacement from {a: 3, t: 2, z: 8, n: 7}?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 - 5*y**2 + 2 + y)*(1 - 3*y**3 - 1).\nAnswer: 15*y**5 - 3*y**4 - 3*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242948 is divided by 437?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -366, 66, 1274, 3252, 5994, 9494?\nAnswer: 13746","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1409 + 1409 + 63*g**2 to r*g**2 + u + q*g and give r.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 297*v - 888. Let g be b(3). Solve 27 = 4*k + g*w + 3, -w = k - 7 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 4*f**2 + 8*f + 35. Give m(-10).\nAnswer: 355","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c + 3. Let s be i(3). Let f = s - -26. Suppose -a - 5*l - 13 = 0, 3*l + 21 = 5*a - f. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*h*y*z + h - 412*y - 56*z + 3 wrt y?\nAnswer: -4*h*z - 412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/5)*(n**(-12)*n)\/n*(n**(-1)*n)\/(((n*n*n*(n\/(n*n**(5\/3)))\/n)\/n)\/n))**(-2\/19) assuming n is positive.\nAnswer: n**(328\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10138213649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -3\/4, 0.5, 3.\nAnswer: -3\/4, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -79*i**2 + 266*i + 1565. Give z(-8).\nAnswer: -5619","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(245)*1 + sqrt(10)\/sqrt(2)*2) + 1 + sqrt(10)\/(sqrt(8) + 1*sqrt(8)))**2.\nAnswer: 145*sqrt(5)\/2 + 105141\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103102 + -1001?\nAnswer: -110103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttqd when four letters picked without replacement from {q: 1, t: 2, f: 1, d: 1, k: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/913 and 87\/145976?\nAnswer: 133276088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -308 (base 14) in base 15?\nAnswer: -29b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -289*a**2*l**3 - 14*a*l**3 + 5*a - l**3 wrt a?\nAnswer: -578*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 902?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.086 * 47.\nAnswer: 51.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 8 (b) 5 (c) 0.2 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278*x - 276*x + 1124066 = 0. Solve -8*f - 2101 = -x for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -3*y + 19. Let c be q(6). Calculate the greatest common divisor of 8 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -5, -3\/445, 5?\nAnswer: -3\/445","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 5:36 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 201\/2, 1, 4, 0.06, 0, 54?\nAnswer: 201\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z - 33. Let h be s(27). Solve h*d = 79*d + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2635057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (30\/4)\/(3\/6). Suppose 0 = 4*q - q - 9. Suppose -q*o + 57 = z. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.786434 milligrams in grams?\nAnswer: 0.001786434","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 divided by -23.\nAnswer: 32\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**3 + 24*p**2 - 5*p + 91. Calculate t(-6).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 2*a + 65. Let g be h(-31). Let f(k) = 42*k**2 + 22*k - 69. What are the prime factors of f(g)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-12))\/((-15)\/(-90)). Let i(k) = -8*k - 4. Let w be i(q). Solve -26*d + 24*d = -w for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.123, 2\/5, -4, -2, -1.5.\nAnswer: -4, -2, -1.5, -0.123, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t**(2\/5)\/t)))**(-7)\/(t**2\/(t\/(t**8\/t))) assuming t is positive.\nAnswer: t**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 1\/4 (c) -134 (d) 14 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -3193*u**3 - 3*u**2 - 4*u - 3. Is h(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -2888, -4.4, -0.16?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + (-2 + sqrt(1216) + 0 - (-2 + (sqrt(1216) - (3 + sqrt(1216))) + sqrt(1216))))*3)**2*-2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 - 0.17. Let q = 145 - 2173\/15. Which is the second biggest value? (a) -4 (b) j (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/19)*t)\/((t**8*t)\/t)*t**(1\/10)*t**(-8\/7)\/t assuming t is positive.\nAnswer: t**(-11887\/1330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 65 + -388?\nAnswer: -323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 667 and 45907?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 4*s + 60, 142*s = 139*s + 15 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 353794501 to the power of 1\/2, to the nearest integer?\nAnswer: 18809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 1603*c - 12. Is h(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-132)\/10)\/((-217)\/(-31)*3*(-13)\/(-1365)).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16909 + 16981. Which is smaller: 7\/4 or f?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + 4*s**2 + 6*s - 3. Let j be f(5). Solve 2 = -j*o - 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 124, 223, 334, 463, 616, 799, 1018?\n\"Answer: v**3 + 92*v + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 878*g - 877*g + 18*g**3 - 49*g**3 + (-3*g + 5*g - 4*g)*(-2*g - 2*g**2 + 2*g) - g - g**3 + g + 2*g**2 - 2*g**2 + g**3.\nAnswer: -27*g**3 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + -1)*2 + -5 - (-4 + 2 + sqrt(1584)*1))**2.\nAnswer: -120*sqrt(11) + 1609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 58573.02 minutes to milliseconds.\nAnswer: 3514381200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54764 - 30685. Suppose -58*r + 3*p - d = -63*r, -p - 9636 = -2*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 406 + 2014. What is the common denominator of 8449\/1870 + 6\/33 and ((t\/(-6))\/5)\/8?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18 + 30. Let m = x + 6. Solve 5*j = v - 8, 0*v - 5*j = 4*v + m for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 963851 or 963849?\nAnswer: 963851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1364 and 744?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/10))**(-1\/37) assuming x is positive.\nAnswer: x**(-1\/370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2011 - 111?\nAnswer: -2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 3. Suppose 5*x - 4*h + 2249 + 2697 = 0, 3964 = -4*x + 5*h. Is (b + -3)\/(2\/x) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87773994 a multiple of 1162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -4*l**3 + l**2 - l + 2. Let j(p) be the third derivative of -13*p**6\/120 + p**5\/20 - p**4\/8 + 7*p**3\/6 + 9*p**2 - 548. What is 2*j(i) - 7*w(i)?\nAnswer: 2*i**3 - i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l**4 + 20*l**5 + 5*l**3 - 7*l + 0*l**4 - 5*l**2 - 18*l**5 - 2 = 0.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*o = 95, 0 = -5*k - 4*o + 1081 - 996. Solve k*w - 72 = 3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(2057) + 0 - sqrt(2057)) + 3 + (sqrt(2057) + 0 + sqrt(2057) - sqrt(2057)))*-5 + 3.\nAnswer: -55*sqrt(17) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13564 + -5781. List the prime factors of w.\nAnswer: 43, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -199, -315, -509, -781, -1131, -1559, -2065?\nAnswer: -2649","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**2 - 16*q + 6. Let k(r) = r - 2. Let h(b) = -4*b + 9. Let u(z) = 2*h(z) + 9*k(z). Let n(p) = -d(p) - 4*u(p). Is n(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*q**2 + 1 + 8*q**2 + 4*q + 21*q**2 in the form l + x*q + c*q**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90319914?\nAnswer: 2, 3, 59, 28349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14106 = 1192*r + 24190 + 36942 + 3038 for r.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-10) + ((-749)\/(-35) - 5). Suppose u = -0*m - m. Let d = 17 + m. Which is bigger: 0 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.905438\nAnswer: 0.3621752","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(45\/(-12)))\/(-10). Let g = 0.5 - -0.5. Which is the nearest to g? (a) 0.3 (b) h (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9021 - 5*s**2 - 11*s + 37*s**2 + 27063 - 9021 - 9021.\nAnswer: 32*s**2 - 11*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9248 divided by -4?\nAnswer: -2312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 619333 a multiple of 61?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24292*k**3 - 24071*k**3 + 48365*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 57067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**3. Let s be f(1). Suppose 0 = 2*t + 10, -3*v + 1 = -s*v - 2*t. What is the smallest common multiple of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 155732 is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -75553, -76093, -77559, -80413, -85117?\n\"Answer: -77*q**3 - q**2 + 2*q - 75477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 120 and 250035?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 1737779?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + -2ca?\nAnswer: -2c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 182675633015401+-0.2\nAnswer: 182675633015400.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52840000 = -5*i + 5*q, 19*q - 23*q - 31704000 = 3*i. Round i to the nearest one hundred thousand.\nAnswer: -10600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -6, -5.\nAnswer: -6, -5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15 - -35. Calculate the remainder when 158 is divided by h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 878, 1774, 2670?\nAnswer: 3566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 o, 1 z, and 1 u when four letters picked without replacement from {r: 1, a: 1, z: 1, u: 1, o: 1, i: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.4516904 + 0.269\nAnswer: -0.1826904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-10)\/(-4) - (-2)\/4. Suppose v = x*v - 2. Suppose 2*o - v - 13 = 0. What is the lowest common multiple of o and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s - 23. Let u be f(14). Which is the second smallest value? (a) u (b) 3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.0287, -0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2 + sqrt(3200) + -3)**2.\nAnswer: -160*sqrt(2) + 6402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the second derivative of 7*r**4\/12 + 344*r. Let k(w) = -3*w**2 - 4. Let t(f) = -1. Let h(l) = -k(l) + 4*t(l). Calculate h(i(q)).\nAnswer: 147*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 1725*k**2 + 25205*k - 26925.\nAnswer: -5*(k - 359)*(k - 1)*(k + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/114301 and -53\/374076.\nAnswer: 4114836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 116082588.\nAnswer: 116082588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-352)\/(-66))\/((-34)\/(-153))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 556730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, a: 6}. Give prob of picking 1 a and 2 v.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -445, -443, -439, -433, -425?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 18473503?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8, 28, 54, 80, 100, 108, 98, 64?\n\"Answer: -h**3 + 9*h**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.6 - -3.4. Which is the nearest to 1\/5? (a) -0.2 (b) -2\/11 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 58588254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1.762 * -0.026193\nAnswer: 0.046152066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k + 2 - 5 + 2. List the prime factors of o(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/9 - 2018*f**2\/9 - 4009*f - 18000.\nAnswer: -(f + 9)**2*(f + 2000)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 10*w**2 - w - 8. Does 20 divide g(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**2 - 6*f**2 + 0*f**2 - 562*f**3.\nAnswer: -562*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, -24\/13, 5, -4, -1\/26?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -9\/14?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7511*x**3 + 1124*x**2 + 9022*x**3 - 133*x**2 wrt x?\nAnswer: 9066","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 467\/774 + -14\/43. Calculate the common denominator of h and -61\/32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -7*x + 64. Let q(f) = 36*f - 330. Give 16*g(w) + 3*q(w).\nAnswer: -4*w + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12.4 + 2.4. Let u = -17 - z. Let f = 8647.3 - 8647. Which is the biggest value? (a) 2 (b) u (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1722628?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3044002 divided by -57434.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2373, 2367, 2357, 2343, 2325, 2303?\nAnswer: 2277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 13*o**2 - 3*o + 3. Let y(s) = -584*s**2 + 136*s - 136. Calculate 272*f(b) + 6*y(b).\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xn when two letters picked without replacement from wwnpppjpnpppnnnx.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/3, -2\/7, 0.4, -2\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 9*h - 2*r = 76, 4*r = h - 26. Suppose -z + 33 - h = 0. What is the remainder when (9 - 1)*(4 - 1) is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112921 is divided by 112488?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-11)*c**(-3) assuming c is positive.\nAnswer: c**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -51246*i. Let l(t) = 119*t + 1. Determine l(f(o)).\nAnswer: -6098274*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, o: 3, j: 4, y: 1}. Give prob of sequence oc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v - 3. Let z(p) = 4 - 3 + 0. Let y(l) = -m(l) - 3*z(l). Let g(n) = -2*n - n + n. Determine g(y(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6a8 (base 16) in base 4?\nAnswer: 122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69455.06 millilitres in litres?\nAnswer: 69.45506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 204*x**6 - 43*x**2 - 2*x wrt x.\nAnswer: 24480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 205162 (base 7) to base 16.\nAnswer: 8a5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 95951636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gxggggxggggxggxx. Give prob of picking 1 x and 1 g.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 5*m**3)*(-m - 2 + 5 + 0).\nAnswer: -5*m**4 + 15*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -10 (b) -15 (c) -71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -20*t**2 - 898*t + 33. Let x(a) = 11*a**2 + 449*a - 18. Give 6*d(k) + 11*x(k).\nAnswer: k**2 - 449*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 - 16*f**2 - 21*f + 83. Give k(-13).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 139 + 27. Calculate the remainder when (-25)\/(-2) - 2\/(-4) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 12. Let s be g(-8). Suppose 2*h + 2 = s*h. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d. Let y be w(-1). What is the least common multiple of 10 and y\/((-2)\/(6*-6))?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3 - 17*g**2 + 91*g - 147.\nAnswer: (g - 7)**2*(g - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -y + 5*y - 3*c - 25, 5*y = -c + 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -1) + (-34 + 42 - (-27 + 1)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/17 + -82\/119. Let x = -61.56 - -61.36. Which is bigger: m or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 4*u + 14, 5*l + 0*l = -3*u + 27. Suppose 37*g + 270 = 27*g. Calculate the lowest common multiple of ((-8)\/(24\/g))\/(l\/4) and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4321783 to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 68 + 1a?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83444225.\nAnswer: 5, 41, 81409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + sqrt(171) + (-5*sqrt(171)*3 - sqrt(171)))\/(sqrt(576)*1).\nAnswer: -7*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 o when four letters picked without replacement from {o: 4, i: 6}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1, -61, -193, -431, -811, -1369, -2141?\n\"Answer: -6*c**3 + c**2 - 23*c + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2566*u - 2572*u - 2566*u - 2565*u + 12845*u - 2571*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zp when two letters picked without replacement from {q: 4, p: 4, e: 3, z: 1, r: 2}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 514981 divided by -1?\nAnswer: -514981","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (1 + sqrt(396) - sqrt(396))*-2 + 1 + 2*sqrt(396))**2.\nAnswer: 48*sqrt(11) + 1588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -199 divided by -8?\nAnswer: 199\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 8*g + 658767 - 1317190 + 15*g + 658423.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/120320 and -101\/175592.\nAnswer: 56189440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 58 + -7. Suppose -5*w + 0*g = -g - f, -19 = -2*w - g. Suppose 42 = n + 5*o, 0 = n - o + 2*o - 22. What is the remainder when n is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1032*z + 0 - 1071*z + 0.\nAnswer: -39*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 0 + 45\/2*v**2 - 187\/12*v**4 - 63*v + 0*v**3. Differentiate d(p) wrt p.\nAnswer: -374*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 95\/7 - 883\/63. Let o be (-1 + -7)\/((-294)\/(-72) + -4). Let t = o + 91. Which is the nearest to 0.2? (a) f (b) 0.4 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16324 + -20?\nAnswer: 16304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.52 - 2.52. Suppose -7 = -4*j - 39. Let s = -1 - -1. Which is the closest to -2\/3? (a) s (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 28, -0.02, -6 in increasing order.\nAnswer: -6, -0.02, 0.3, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4 - 34)*2\/3. Let o = z - -22. Suppose -o*h + 30 + 108 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20536 - -20539. Which is the closest to -2\/3? (a) 5\/7 (b) -1\/10 (c) 1\/4 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 742 and 341426.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*p**3*y - 3*b*p**3 - 34*b*p**2*y + 187*b*p**2 - 18*p**3*y + 17*p**3 + p**2*y wrt p.\nAnswer: 12*b*y - 18*b - 108*y + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23\/3 of a week?\nAnswer: 77280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 2*f = 4 + 8, 4*x + 4*f = 12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 45 - 14 - 18 - 7 + 3*r. Let a(d) = d + 1. Let g = 0 - -2. Let k(m) = g*a(m) - l(m). Calculate k(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26858321.\nAnswer: 7, 29, 41, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(52)\/sqrt(16) - (sqrt(117) + sqrt(117) + (sqrt(117) - 1*sqrt(117)) + sqrt(117) + 3)**2) + -1.\nAnswer: -1068 - 107*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 3*l**2 + 2*l - 21. Let w be y(-5). Suppose 17*j = w*j - 6, -x - j + 881 = 0. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 21*x**2 + 3*x + 7. List the prime factors of n(7).\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 4*o**2 - 59*o - 122. Let a be q(-2). Solve -a*p = -3*p + 18 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 + 42*o**2 - 33*o - 330. Give x(41).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -q - 24 + 8, q = n - 7. Let s be 5 + -5 + 5 + 1. Suppose n - s = -u. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 57, 105, 237, 495, 921, 1557?\n\"Answer: 7*y**3 - y + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1776 is divided by 424.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**5 - 36683*p**4 + 6*p**3 - 915547*p**2 wrt p?\nAnswer: 60*p**2 - 880392*p + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -363 - 207. What is the remainder when a is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*k - 556 = -2557 for k.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.1418 rounded to zero dps?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 9*u**3 + 8*u**2 - 18*u + 8. Let n be a(5). Suppose -n = 5*z - 6*z. Let t = 9959\/8 - z. Which is smaller: t or 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, z: 3, b: 3, m: 1}. What is prob of picking 1 z, 1 n, and 2 b?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 6958 = -4*v, o = 6*v - 9*v + 3499. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3 - 8 = 5*c, 4*r - 6 = 3*c. Solve r*d - 4 = 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 231 + -7391\/32. Let l be 9\/2 + 2\/(-4). Suppose -3 = -w + 5*k - l, 0 = 3*w + 4*k + 3. Which is greater: w or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1855 and 265?\nAnswer: 1855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4 + (-7)\/(-2). Suppose -161 = -d + p - m*p, 674 = 4*d - 2*p. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15 - 2 - 32\/(-8). Suppose 4*a - 53 = -3*j, -4*a = j - 3*a - k. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1764\/140 + 3\/(-5). Solve w + 3 = 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -x + 4*k - 78, -5*k = x + 11. Let c be (-3)\/651*(-76)\/(-3). Let f = c - -2\/93. Are x and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1134 and 210?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1121128592 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - a - a)*(1 - 4 + 1)*(-2*a**2 - 55 + 55 - 6*a).\nAnswer: -8*a**3 - 24*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 6. Let s be 0 - (-1)\/((-13)\/l). Let c = -0.1 + 1.1. Which is bigger: c or s?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 4 and 7920\/2801 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29079?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*b**3 + 93*b**3 + 42*b**3 - 33*b**3 - 41*b**3.\nAnswer: 92*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000958753 to seven dps.\nAnswer: -0.0000959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 8:28 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h + 2. Let b be z(5). Suppose 0 = -d + b + 3. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**0)**(-11) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20498 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d**(2\/51)\/d)*d*d**(-14))\/(d**34*d\/d**27))**6 assuming d is positive.\nAnswer: d**(-1942\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 149572 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1033 and 208.\nAnswer: -21.4864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2361 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 651075?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 779411, 1557726, 2336039, 3114350, 3892659?\nAnswer: 4670966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555961 is divided by 1621?\nAnswer: 1579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -2*b. Let l be (-5619)\/(-102)*(-116)\/6. Let w = 1065 + l. Is w smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/96*0\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 2559382?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3\/(-1) - 341\/(-132). Let y = i + 3\/4. Determine j so that -1\/3 - j**2 + j + y*j**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39322.\nAnswer: 2, 19661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 43*h - 192. What is the smallest common multiple of p(6) and 85?\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1537.9612848 and 0.7.\nAnswer: 1538.6612848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*v + 26 = 74*v. Solve v*y - 34 = -15*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-39)\/(-36)*8\/52\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.07+-2.9969\nAnswer: -2.9269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 12524*i + 326300. What is y(-26)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/10952 and -1\/10334581.\nAnswer: 82676648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 467035 at least 467035?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 < 412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*g + 1. Let l(h) = h**3 - h - 1. Let m(o) = o**4 - 3*o**3 - 3*o**2 + o + 3. Let i(v) = g*m(v) - 3*l(v). Solve i(x) = 0 for x.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 2 x, and 1 q when four letters picked without replacement from {t: 2, i: 4, q: 2, d: 2, a: 3, x: 3}.\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i - 10. Let p be w(-10). Suppose p*b - 2*z = -b + 17, z = -b + 26. Suppose -b = 5*x + 2*a - 262, 0 = -3*x + 2*a + 137. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - 2513673661018.\nAnswer: -2513673661018.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/68*2 - (-144)\/(-646)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13, 40, 99, 202, 361, 588, 895, 1294?\nAnswer: 1797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 827 - 776. Let q = x - 48. Solve 2*v = -4*b + 4, 0*v = -v - q*b + 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 386744 and 1769.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 141 + -1?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 39\/(-104) - 86\/(-16)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + i + 3, -3*z + 6 = -2*z - 2*i. Solve z*l = l + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -111 in 3, 5, 1, 0.05, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 218802 > 218454?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435444139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.46 + 774.34. Let h = 774 - b. What is the smallest value in 2\/7, -2\/11, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1670022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*v + 666433 = 233280, -2*v = k - 433129. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -26*p**2 - 37*p + 241. Let c(j) = 11*j**2 + 22*j - 121. Let d(t) = 9*c(t) + 4*w(t). Find n such that d(n) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2344151866 a multiple of 343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + f + 2*f)*(-2*f**4 - 2*f + 2*f) + 53*f**5 - 30*f**5 - 22*f**5.\nAnswer: -3*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4814 - 163858?\nAnswer: -158044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4898 - -4902. Let p(i) be the second derivative of -21\/20*i**5 + m*i - 1\/3*i**3 + 0*i**2 + 0*i**4 + 0. What is the second derivative of p(d) wrt d?\nAnswer: -126*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1236 - -3293. Is m a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -622 or -621?\nAnswer: -621","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(2200\/(-15))*-10. Suppose 3*k + 1 = -k - 5*w, -7 = -4*k + 3*w. Which is the nearest to k? (a) 4 (b) -9 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -43, -97, -163, -235, -307, -373, -427?\nAnswer: -463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**4\/4 + 5*r**3\/3 + 6*r**2 - 6*r - 86. Is g(5) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*(-3)\/(-84)*136\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 2*v**5\/5 + v**4\/2 - v**3\/3 + 39*v - 30. What is the third derivative of z(y) wrt y?\nAnswer: 48*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-92)\/920)\/(174\/60)?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 170 - 5728?\nAnswer: -5578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(0 + sqrt(162)) - (-1 + -1 + sqrt(162))) + -3)**2.\nAnswer: 108*sqrt(2) + 5833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**3 + 6*f**2 - 4*f + 1. Let z be p(5). What is the second derivative of -t - z*t + 5*t + 7*t**3 wrt t?\nAnswer: 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 smaller than 706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + -7 - (7 + -17 - -6)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 639\/12 - 3\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 17, v: 2}. What is prob of sequence vv?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 PM and 11:30 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = f - 5. Find the second derivative of -f*v**5 - 2*v**5 + 4*v + 0*v**5 wrt v.\nAnswer: -140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l + 9. Let n be (-42)\/(-7) - (2 - -1). Let r be t(n). Suppose r*g = -2*k + 111, 0 = -g + 2*g + 2*k - 41. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 18 - 83. Suppose m = 5*n - q, -4*m + m = 9. Solve -3*h - 15 = -3*r, 4*h + 8 = r + n*h for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 24.87 (b) 1\/5 (c) 2 (d) 2\/729\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.042818 micrograms in grams?\nAnswer: 0.000007042818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -31227\/95332?\nAnswer: -31227\/95332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**4 - o**4 - 3*o**4 + (-2 + o**3 + 2*o**3 - o**3)*(-6*o + 4*o - 2*o) as q*o**2 + k*o**3 + n + w*o**4 + c*o and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0042673 rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*y + 33*y + 8 - 3 - 3.\nAnswer: 70*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -6 + (2 - -10) - -441?\nAnswer: 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 77\/5 + -313\/20. Are j and 7.2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -423490836634 and 0.3?\nAnswer: 423490836634.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 874.9419 kilograms?\nAnswer: 0.8749419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (16\/14)\/(-4)*(-12)\/8\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60 + 25 - 46) + 38.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-10) - (-72)\/(-285). Is 0 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 - o**2 - o**2)*(-163*o**2 + 2*o + 62 + 20 - 80).\nAnswer: 163*o**4 - 2*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.56 and -464.\nAnswer: 259.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(171)\/(sqrt(45)\/sqrt(5)) - (sqrt(19) - (sqrt(19) - 3*sqrt(931) - sqrt(19)))))**2.\nAnswer: 42*sqrt(19) + 8380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8.17 - 0.17. Let q = g + -7.5. Put 2, q, -2 in ascending order.\nAnswer: -2, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56137606 divided by 8019658.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3 - -0.7. Let z = 0.3 - 0.3. Let u = -0.1 + z. Which is the second smallest value? (a) 5 (b) f (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 11 + 15 = 5*b, -5*i + 20 = 5*b. Solve 0 = -4*a, 7*y + b*a = 2*y + 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, y: 3, p: 6, w: 2, d: 1}. What is prob of picking 1 d, 1 w, and 1 k?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2437, -4773, -7155, -9583, -12057, -14577?\n\"Answer: -23*w**2 - 2267*w - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 12. Suppose v*g - 17 = 22. Solve 5*h - g = -2*n - n, 0 = -4*n + 5*h - 41 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) -3 (c) -2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -14\/91638131?\nAnswer: -14\/91638131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8085 and 22150695.\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -69444682 and -9398.\nAnswer: -69454080","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11874, 24222, 36568, 48912, 61254?\nAnswer: 73594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j + 532 = 24*j. Suppose 4*h + j = 145. Suppose 2*p + h*v - 544 - 13 = 0, 2*p = 4*v + 536. Does 21 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = p - 27, 0*p - 45 = -2*p - u. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence trr when three letters picked without replacement from {r: 1, t: 1, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 508355 - 6\nAnswer: 508349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 5*d - 2040 = 1059, 4*j - 2*d = -3134. Let x = -402 - j. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 14*h - 10*h. Let z(o) = -o**2 + 4*o - 3. Give z(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-3*y + y - 9*y) + 34*y - 250 + 250.\nAnswer: 56*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, 0, 98, -1, 3.\nAnswer: -1, 0, 3, 51, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -408b (base 16) in base 12?\nAnswer: -968b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 1047*x + 89. Is j(1) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 12*v + 2. Calculate t(-9).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 16416 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 11:30 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5185 and 6?\nAnswer: 31110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 15551515?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.03, -0.2, -0.5, 5\/51, -63?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 6*r + 3. Calculate l(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6188140 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34832)\/168 + (-14)\/(1*-2). Which is smaller: -199 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -8*s - 390. Let d(l) = -40*l - 1945. Calculate 3*d(k) - 14*j(k).\nAnswer: -8*k - 375","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 123\/(((-17)\/102)\/((-14)\/252))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 17*a**4\/8 - a**3\/3 + a**2 - 110*a. Let g(x) = -254*x + 10. Determine -3*g(n) - 14*o(n).\nAnswer: 48*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 24 - 0\/(-2). Let s = v + 14. Let a(x) = 3*x. Let k be a(-2). Are k and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -23*b - 4 - 1 + 7*b + 14*b. Let r(z) = -4*z**3 - 2*z**2 + 2*z - 1. Let h be r(1). Let v be n(h). Solve -6 - 4 = v*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -11527\nAnswer: 5763.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4123.867 days to seconds.\nAnswer: 356302108.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1459 - -1379. Put -0.1, z, -1 in decreasing order.\nAnswer: -0.1, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3070*w**6 - 3435*w**2.\nAnswer: -368400*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2173232 divided by 148?\nAnswer: 14684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (7 + -5 + -9 + -8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.38 minus 108?\nAnswer: -108.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 - (5 + -12 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -491 + 889. Is 41 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/1)\/(8\/16). Let n(h) = -3*h**2 + u - 8*h - 4 + 2*h**2 + 3*h. Give n(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 16, 672 in ascending order.\nAnswer: 0, 16, 672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -12 (c) -16 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 84967.59 millennia?\nAnswer: 849675.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, w: 5, p: 2}. Give prob of sequence opp.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 5:56 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5340 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*n = -2*n + 186, 2*n = -s + 48. Let m = -53 + s. Let l = m - -9. Solve -4*i - 2*a = 2, -3*i + 6*i - a + 9 = l for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/6 + 47810\/462. Let a = s - 103. What is the closest to 0.1 in -2, -4\/3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5288838 is divided by 70?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5*j - 25, 7 = -4*m - 4*j - 13. Let f = m - -9. What is the first derivative of 7 + 3 + 11*o**2 - 9 - f wrt o?\nAnswer: 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3\/968 - 1957\/6776. Put 4, i, -2\/27, -4 in increasing order.\nAnswer: -4, i, -2\/27, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/9*(0 + 1). Let b = 4 - 7. Let v = 659\/9 + -73. What is the third smallest value in d, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 4*g - 36 = 0. Let d(r) = -3*r**2. Let h(j) = j**2. Let w(t) = g*h(t) - d(t). Let n(c) = -3*c + 2*c + 3*c - 3*c. Determine n(w(a)).\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k + 8674 + 30*k**2 - 74*k**2 - 8657 wrt k.\nAnswer: -88*k - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-15)*j)\/(j\/((j\/(j*j**(-12)))\/j))*(j**(2\/7)*j)**(30\/13) assuming j is positive.\nAnswer: j**(-94\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/796 and 47\/4712.\nAnswer: 937688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 - 42\/(-15))\/((-2)\/(-50)). Let g(y) = -5*y + 60. Let f be g(n). Calculate the highest common divisor of 21 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 5*f**2. Let k = 74 + -59. Let q(r) = k*r - 16*r + 8*r. What is q(c(s))?\nAnswer: 35*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5134)\/1661)\/(10\/165)*2?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-2))**(-24))**(2\/11)\/(((y\/((y**(-2\/29)\/y)\/y*y*y))\/y)\/(y*y\/(y*y**3)*y*y))**20 assuming y is positive.\nAnswer: y**(2344\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15884 = -39*n + 20*n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -2*a. Suppose a*v + 84 = 12*v. Let p be ((-15)\/(-35))\/(v\/8). Sort -1, p, 15\/7 in descending order.\nAnswer: 15\/7, p, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126785 is divided by 339.\nAnswer: 338","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nc when two letters picked without replacement from pcnfnnfbbfrn?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12\/10 - -37*56\/140 and 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18\/23 - 2\/23*m**2 + 12\/23*m = 0. Calculate m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168 - 173. Let y = 7 + -4. Let s be 4\/54*(6 - y). What is the closest to -1 in j, s, -3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (175\/21)\/(1011\/6066)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:46 AM and 7:44 AM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 10:22 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes after 12:16 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 4 (b) -303 (c) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 111, 5\/2, 2\/9, 0, -0.02?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2\/15 - 4\/5. Which is the closest to m? (a) -0.4 (b) 3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5068*x + 22*x**3 - 5057*x + 15138*x - 5013*x.\nAnswer: 22*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttbtbbhhtbbbbtbbtbbt. What is prob of sequence tbtb?\nAnswer: 77\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*q - 14 + 36 + 3*q**2 - 9 + 14*q - 8.\nAnswer: 3*q**2 + 65*q + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**3 - 3*v**2 - 2*v - 5. Suppose 0*b + 12 = 3*b. Is d(b) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25004100?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 130*u**3*v**2 + 37*u**3*v - 2*u**3 - u*v wrt v?\nAnswer: 260*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.07\nAnswer: 0.007","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**3 - 171*c + 168.\nAnswer: 3*(c - 7)*(c - 1)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5189 is divided by 1169?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 165680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*s + 49 = -26 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.967552 millilitres?\nAnswer: 0.004967552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jllwjqwwjbojbjbjljj. Give prob of picking 1 b and 2 j.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.606 - 0.096. Let p = 0.4588 - w. What is p rounded to two decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29 and (-48)\/(-312) - (-230)\/26.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 5 + 4 - 36 - 2*x**2 + 16.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -4*x, 10*x = 2*w - 299 - 525. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*k**2\/3 + 304*k\/3 + 308\/3.\nAnswer: -4*(k - 77)*(k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -4*w**3 + 7*w**2 - 18*w + 12. Let r(l) = 7*l**3 - 14*l**2 + 35*l - 23. Suppose 11*i - 9 = 8*i. Let j(q) = i*r(q) + 5*h(q). Factor j(c).\nAnswer: (c - 3)**2*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4\/11481 and 95\/1032?\nAnswer: 91848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 12*o**2 + 21*o - 11. Determine m(9).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(567) + 0)*1 - (-3 + -4 + 1 + sqrt(567)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -100000010011010001 (base 2) to base 13\nAnswer: -482b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y + 1. Let w be p(1). Suppose -w*q = -42 - 50. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(1\/7))**(-39))**30 assuming o is positive.\nAnswer: o**(-9360\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -399a + 75a?\nAnswer: -3240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*d**2 + 0*d**2 - 25*d**2)*(1566*d - 847*d - 817*d).\nAnswer: 1862*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*c - 9*c + 240. Suppose c = -7*l + 11*l. What is the remainder when 598 is divided by l?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*t - 20*t + 13*t.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*t + 811438 - 38110 = 0. What is the thousands digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnhvhhhnnnniinnhn. Give prob of picking 2 n and 1 i.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -2*n + 94, -3*r + 3*n = 2*n + 133. Let d = -40 - r. Let i be (3 - 2)*-1*9. Put d, -3, i in decreasing order.\nAnswer: d, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -2\/1759?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1219 - -1219. Let w(r) be the second derivative of 1\/2*r**4 + 3\/2*r**3 + 0 + c*r**2 + 6*r. Find the second derivative of w(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r - r + 5*r)*(319*r**2 + 902*r**2 + 196*r**2)*(2*r - r - 2*r) in the form t*r**2 + b*r + c + u*r**4 + s*r**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 2*i - 7 = 3, -2*i = -3*d - 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 greater than or equal to 210?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -8*l + 47. What is g(7)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**2 + 5*p + 4. Let j be l(-4). Let r = 12 + -12. Let k = r - j. Solve 0*q - 3*q = k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 227978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.41 + -0.41. Let l = g + -49.4. Let x = 47 + l. Which is the closest to 1? (a) -3\/19 (b) x (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 - 0.05. Sort -0.3, 1, i in decreasing order.\nAnswer: 1, i, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/2 - (-36)\/24. Put 3, j, -5 in ascending order.\nAnswer: -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 90 times -0.2\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4\/5 - 2*f**3\/5 + 6*f**2\/5 + 2*f + 4\/5.\nAnswer: -2*(f - 2)*(f + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 8*x**4 + 3*x + 2. Let s(w) = -8*w**4 - 2*w - 3. Let c(y) = 2*k(y) + 3*s(y). What is the first derivative of c(f) wrt f?\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -124*c. Let l(o) = -25*o. Determine 31*l(g) - 6*q(g).\nAnswer: -31*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167884?\nAnswer: 2, 19, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6.3803 millennia?\nAnswer: 6380.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*x**2 + 5*x**2 - 22*x**2 + 8*x**2 + 9*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 40 = -8*z. Suppose 3*u - 12 = 4*p, -u + 5*p = 2*u - 12. Solve 4*i = -3*a - 2 + 7, -11 = -z*a - u*i for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -26 (b) 3 (c) -3.798 (d) -40 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.99 + -3. Let m = 0.03 - -0.06. Let k = m - i. What is the third smallest value in -0.3, k, -1\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, -54, 24, 1\/2, -2.7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 314 is divided by 14?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) 9 (c) 1.3 (d) 63 (e) 4\/9 (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1048.972892 rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 4 = 6. Let o = 10 - t. Calculate the remainder when o is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.74823 take away -47625?\nAnswer: 47624.25177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -57915 at least as big as -57917?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2\/4 - 303*c\/4 - 702 = 0. Calculate c.\nAnswer: -9, 312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 10*a - 2. Let k be d(-9). Let y(x) = 2*x**2 - 18*x + 24. Let j be y(k). Which is smaller: j or -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -23*u**2 + 51*u - 5. Let b(p) = 21*p**2 - 53*p + 4. What is 3*b(z) + 2*w(z)?\nAnswer: 17*z**2 - 57*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + sqrt(35)\/(sqrt(7) + sqrt(28))*-5) + ((sqrt(320) + 0)*1 - (sqrt(25) + (sqrt(25) - 2*sqrt(100)))\/sqrt(5)).\nAnswer: 4 + 10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -28*v. Let g(n) = -572*n**2. Determine g(t(j)).\nAnswer: -448448*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -4*c + 912. Suppose -6*m + 278 = -10. Suppose 0 = -2*q + 2*z + 76, q - 3*z + 0*z = m. Calculate the remainder when c is divided by q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 13*u - 5 - 4*u**2 - u**2 + 4*u**2. What is the tens digit of l(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49 + 59. Let b(x) = 20*x**2 - 77*x + 33. Let h(v) = -7*v**2 + 26*v - 11. Let r(o) = 4*b(o) + 11*h(o). What is the units digit of r(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d - a + 2*a + 84, 2*a - 90 = 2*d. Let u = d + 51. Suppose 0 = 12*j + 4 + u. Let p(v) = -25*v**3 - v**2. Give p(j).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29416, -117608, -264564, -470260, -734672, -1057776, -1439548?\n\"Answer: 4*z**3 - 29406*z**2 - 2*z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1153, -1155, -1153, -1147, -1137, -1123?\nAnswer: -1105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -271 and -0.1.\nAnswer: 27.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*s - 10 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*l - 50 = -15*p - 132*l, 4*p = 3*l - 7 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 39*z**2 - 40*z + 5. Give g(-40).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-165)\/20 - ((-203)\/28 - -7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 5 + 3 = 0. What is n in -3\/2*n**l - 9\/2*n - 3 = 0?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + (41 - 10) - -59*143\/351.\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/(sqrt(18)\/sqrt(6)*-1))**2 + 5 + (sqrt(5700)\/sqrt(3) - (sqrt(19)*-3*2)**2).\nAnswer: -660 + 10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 466+14.0553\nAnswer: 480.0553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -326*t + 271*t + 385 = 0 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*n + 130 - 162. Solve -4 + 12 = n*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -35*g*k - 41*g*n*v + 2*k*n**2*v + 2*k*n**2 + n**2 - v wrt k.\nAnswer: -35*g + 2*n**2*v + 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*v + 11 - 22 + 16 - 5 - 94*v.\nAnswer: -68*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/207 and ((-1)\/115)\/(266\/(-7030)).\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9775 or -9805?\nAnswer: -9775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-3)\/162*-4. Suppose 3*o = 4*n, -2*n + o + 2 - 4 = 0. Is n not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from doooooooooooooooooo. What is prob of sequence odo?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s**2 + 2*s + 67*s**2 + 55*s**2 - 90*s**2.\nAnswer: 15*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 - 10. Suppose q + y - 12 = 0. Suppose 0 = -0*g + 3*g - 5*f - 65, -3*g = f - 59. Calculate the highest common factor of g and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = o + o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 15, 4, -55, 1, -2 in decreasing order.\nAnswer: 15, 4, 1, -2, -21, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let 162*m**2 + 1320075108*m + 2689194893150018 = 0. What is m?\nAnswer: -36668753\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 43. Let q = 1047696461 - 1047696509.0000029. Let v = q + a. What is v rounded to 6 dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (-5)\/(460\/192) - (820 - 820).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1, -9, 4.3636?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxxr when four letters picked without replacement from xxrxrrxxxrxrxxrxxx.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 159.779736ms?\nAnswer: 0.0000018493025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 8*k**3 + 5*k**2 - 2*k. Let n(u) = -12*u**3 - 7*u**2 + 3*u. Suppose -6*f + 5 + 25 = 0. Determine f*n(a) + 7*w(a).\nAnswer: -4*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 a when three letters picked without replacement from {i: 1, a: 2, z: 1, j: 1, e: 1, d: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 886297 is divided by 118.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(1\/2))**(-6)\/(x\/((x**4\/x)\/x)*x**5) assuming x is positive.\nAnswer: x**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-6))\/d)\/(d**(-3)*d)*(d**(-2\/7))**(-18\/13)*((d\/d**(1\/8))\/d**(-2\/5))\/(d\/d**(2\/5)*d)**(-1\/11) assuming d is positive.\nAnswer: d**(-17489\/8008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1101437 is divided by 367081?\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 11 - 2)*(3 - 4 + 4)*(4 - 6 + 1) + 3 - 2 - 2)*(2*l + 0*l + 0*l).\nAnswer: 76*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-5))**(-45)*i**(-11\/6)\/i**(-16) assuming i is positive.\nAnswer: i**(-1535\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (30 + -15 - 28)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 12) in base 10?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s + 4 - 1 + 6 + 1 in the form r + f*s and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -3*n - 9, -6*n + n = 4*l - 21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98 is divided by 49?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4959125 by 991825.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 120421 is divided by 120305?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 73 = 181. Suppose -130 = -16*h + g. What is the remainder when 234\/h*2*(-48)\/(-9) is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*l - 2. Let t(k) be the first derivative of -l*k**2 + 9 + 7*k - k**2 - 30 + 17. What is the derivative of t(q) wrt q?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -10*q - 29. Let y(z) = 6*z + 41. Let n(d) = 3*r(d) + 4*y(d). Give n(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 0*y**4 - 1\/60*y**5 - 8*y**2 + 0 + 0*y**3 + 0*y. Let s(p) = p**2. Calculate s(f(o)).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-25))\/((-2)\/20). Suppose 0 = 5*h - 3*g - 100, -5*g - 87 = -4*h - f*g. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/7)\/r**3)\/(r*((r\/r**(25\/6))\/r)\/r*r*((r\/(r**42*r))\/r*r)\/r) assuming r is positive.\nAnswer: r**(1795\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-165)\/35 - -7)*(-14)\/(-4). What is the greatest common factor of 72 and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-30) - (-3)\/(-5). Suppose -3*z - 4*o + 3*o + 17 = k, -5*z + 5*o - 5 = 0. What is the units digit of (41 + -1 + 2)*14\/z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 + -6)*(3 + -143) a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 + 10)*(1 - 3*f - 3 + 3) + (-3 - 17 + 6)*(1 + f - 1).\nAnswer: -59*f + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s**3 + 2*s**2 + 679*s - 70. Let h(w) = 4*w**3 + 3*w**2 + 678*w - 108. Give 2*h(d) - 3*o(d).\nAnswer: -d**3 - 681*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*t - 2*l + 38 = 0, -2*t + 43 = 3*l. Suppose j + 4 = -6. Let b = 18 + j. What is the remainder when t is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*a + 42575 = 37310 for a.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -20558*t**2 + 9*t - 5. Let i be k(3). What is i rounded to the nearest 10000?\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(20539\/(-3572))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -10. Which is the closest to 1? (a) n (b) 1\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/1951, 0.4, -5 in ascending order.\nAnswer: -5, 3\/1951, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**4\/5 - 26*t**3\/5 + 13*t**2 + 92*t\/5.\nAnswer: t*(t - 23)*(t - 4)*(t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 37 and 1751543.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*a**(-9))\/a**(-1\/7) assuming a is positive.\nAnswer: a**(-48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10268 = 5*z + 12*z. Is (1 - (z + 8)) + -5 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 p when two letters picked without replacement from ddpzdzpd?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25435?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1418 + 1422. What is the lowest common multiple of o and 466?\nAnswer: 932","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 2*i - 4 = 6, 3*i + 10 = 2*g. Suppose -2*n = g*j - j - 1, 3*n = -2*j - 1. Solve 5*d = n*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-54)\/72)\/((-3)\/4). Let c be (-121)\/42 - (-2)\/(-7). Let i = c + 7\/2. Which is smaller: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 363 - 358. Suppose -8*s + 3*s - 2*f = -148, 0 = -b*s - 3*f + 152. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 101 - 101. Let f(y) be the first derivative of -5*y + 0*y**3 + 0*y**4 - 1\/5*y**5 - 4 + v*y**2. What is the derivative of f(c) wrt c?\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*w**4 - 15*k**3*w**2 - 507*k*w + 1624*w**5 wrt w?\nAnswer: 24*k**3*w + 97440*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -29, -0.09, -2\/5, -103 in ascending order.\nAnswer: -103, -29, -2\/5, -0.09, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (18\/(-3888))\/(-2 - (-4991)\/2541) and 97\/24?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 take away -675797356?\nAnswer: 675797324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -757, -2614, -6237, -12214, -21133, -33582?\nAnswer: -50149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3883144*k**6 + k**2 + 253*k - 103388.\nAnswer: 465977280*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 + -0.4. Let g = -57 + 61. What is the second smallest value in g, i, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -250 = 15*k + 365. Which is smaller: k or 23?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*r*t**6 + 7*r*t**2 + r*t + 8*t**6 - 4*t wrt t.\nAnswer: -1560*r*t**3 + 960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/8)\/((-10)\/(-8)). Solve -n - 2*d + 2 = -d, 31 = -y*n + 5*d for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -22 + 13 + 0 + 10.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 42797 to the nearest one hundred.\nAnswer: 42800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 1:45 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71813, -71889, -71965, -72041, -72117?\nAnswer: -72193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(2 + -5*(-5 + sqrt(1700) + 2 + 4 + sqrt(1700) + 2)))**2.\nAnswer: 10400*sqrt(17) + 680676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 38793010 rounded to the nearest 10000?\nAnswer: 38790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -70 or -29?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5 - 189513*y**4\/2 + 2228547*y**3 + 7112025*y**2\/2 = 0. What is y?\nAnswer: -31609, -3\/2, 0, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from vvqjvvvvqvvvqjjtvvvt?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1047?\nAnswer: 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 - 14*s**2 + 12*s - 81. Let u(v) = 4*v**3 - 13*v**2 + 10*v - 117. Let m(z) = 3*h(z) - 2*u(z). Calculate m(14).\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 16 = 17*l. Suppose 0 = l*c + 6*c - 5*c. Solve c = -6*j + j + 20 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43977844 to the nearest integer?\nAnswer: 6632","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnauanhhg. What is prob of picking 1 g, 1 a, 1 u, and 1 c?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -2*t + 29. Let w be a(12). Suppose w*j + 2 = 3*j. Is -2\/409 at least j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 - 3888*c**3 + 3886*c**3 + 140*c**2 to the form p*c**3 + l + z*c**2 + b*c and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2055*p**3 + 561922*p**2 - 561922*p**2.\nAnswer: -2055*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 572570644 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4914 divided by -273?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*z - 6*z = 11*z + 36*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 645\/(-15)*((-24)\/14 - (-50)\/(-175)). Calculate the highest common factor of d and 5504.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/3)\/(26\/78))\/((-3)\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0177 and -63744.\nAnswer: -1128.2688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3*1\/(-1))\/(9488\/123344)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2 (b) -11\/3 (c) 234 (d) -0.3 (e) 44\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -92, -5, 5, -0.4, -4, 0.1 in ascending order.\nAnswer: -92, -5, -4, -0.4, 0.1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9505 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*f - 1 + 1)*(-70 + 12 - 49) to a + p*f and give p.\nAnswer: 321","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44563047.\nAnswer: 3, 2251, 6599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 18\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3315209035?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28056 = 262818*q - 261649*q for q.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -5\/14409?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0*1\/(-2))\/(-1). Suppose 69 = 3*v + 3*q, w = 5*v + 4*q + 2 - 122. Suppose -3*g = -6 - 36. What is the highest common divisor of v and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 4 + -12 - -11\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 9 (b) 0.01 (c) -4 (d) 296\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 12 = -2*y, -2*o + 4*y - 3*y + 8 = 0. Let v be ((-6)\/(-4) - o)*-16. Calculate the highest common divisor of 64 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51254476 divided by 91?\nAnswer: -563236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1529)\/278*-2*(-4)\/10*20\/(-2).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-15))\/(2\/30)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 12:48 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4000623 > 4000622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i - 3. Let s be 2 + (-2 - (1 - 4)). Suppose -2*j = a - j + 9, -4*j + 13 = -s*a. Let m(p) = 4*p - 4. Give a*z(o) + 5*m(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2037208 a multiple of 168?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 278835473 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in -2\/103, 0.5, 24?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 364*c**2. Let n(l) = -l. Calculate g(n(o)).\nAnswer: 364*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15552.8 from -7.8049298.\nAnswer: -15560.6049298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 16274.0339 + -16274. Is 0.23 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -7*o - 17. Let i be w(-4). Suppose -5*t + 19 = -i. Let u(p) be the second derivative of -p**3\/3 + 5*p**2\/2 - 5*p. Calculate u(t).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.0633 - -4.9367. What is the nearest to 1\/16 in 1, -4, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/(-2)*2*-8. Calculate the greatest common divisor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/23 + 328*d\/23 - 13448\/23 = 0. Calculate d.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 215069 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**5 + 5*z**4 - 5*z**3 - 5*z**2.\nAnswer: 5*z**2*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 432 and 6444?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11519180 to the nearest integer?\nAnswer: 3394","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.09 in 2\/9, -5.2, 57?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 19363869124 from -0.15754.\nAnswer: -19363869124.15754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2597352 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 9 - x + 1\/4*x**4 + 0*x**2 - x**3. Calculate d(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3121860 and 420?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 134\/272 - (-15)\/(-40) - (-147)\/(-238). Let s = 3 + -2.9. Which is the nearest to w? (a) s (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -154787 - -0.31541815\nAnswer: -154786.68458185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - a - 286, h + 1121*a - 46 = 1124*a. Calculate the highest common divisor of h and 3161.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3979 - 1286. What is the tens digit of ((-4)\/(-5))\/((-9)\/v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*q + 3*y = 216, 4*y = -90*q + 86*q - 48 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 + 37. Let p be f - 1\/1 - (2 + -6). What is the highest common factor of p and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 + -246. Let n = o - -72. Which is smaller: -16 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 55656.\nAnswer: 55656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(21\/(-7) - (-2 + 0)). Suppose b = -11*p - 8 + 30. Solve -8 = 5*o + 2*n - n, 0 = -p*o + 5*n + 13 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - 0) + (4 - (3 - -4 - 16))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + (sqrt(12)\/sqrt(6))**2)*-6 + 1.\nAnswer: -11 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.55197671 to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3936 + -7385. What is a rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/9))**31\/(a\/((a\/(a\/(a\/a**18*a*a)))\/a)*a**(-4\/7)\/a))**(-25) assuming a is positive.\nAnswer: a**(13450\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 1 = -3, 5*u - 3*k = -14. Let v be ((-649)\/308 - (0 - 2))*u. Which is the closest to 2? (a) 0.4 (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*y - 56*y = -106*y + 355752. Calculate the highest common factor of 21 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2 = -5*z - n, -5*z = -4*n - 8. Suppose 0*d + d + 4*p + 6 = z, -d - 2*p + 2 = 0. What is the highest common factor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1997239584?\nAnswer: 2, 3, 197, 105607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 28. Let k be l + 3\/9*0. Let w(y) = -38*y**2 + k*y + 39*y**2 + 2*y. What is w(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -5*g**4 - 217755*g**3 - 2370970875*g**2 - 2370753125*g = 0?\nAnswer: -21775, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 at least -30379\/486?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1445*u**4 + u**3 - 2*u**2 + 690 wrt u.\nAnswer: -34680*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 3 + 0*i - 4 + 3*i**2 - 2*i. Let v be j(3). Suppose -v = -2*g - 2*g. List the prime factors of g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 419935*z**2\/3 + 139945*z - 100\/3 = 0?\nAnswer: -1, 20\/83987","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-894 - g + 520 + 452)*(0 + 0 - 1).\nAnswer: g - 78","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that q**3\/2 + 1117*q**2\/2 + 558*q = 0.\nAnswer: -1116, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -38, -4, 5, -1947, 1, 0, -5 in ascending order.\nAnswer: -1947, -38, -5, -4, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20072438?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12928*p + 999074 = 68258 for p.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1094550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -60, -145, -286, -495, -784, -1165?\nAnswer: -1650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4173 - 4114. Suppose -3*g + 49 = -4*g. Let p = g + t. What is the highest common divisor of p and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*i - 3*i + 4*i)*((1 - 4 + 4)*(-1 + 1 + 1) + (-341 + 84 - 37)*(1 + 3 - 5))*(0 - 4 + 5) in the form t*i + m and give t.\nAnswer: 295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in seven quarters of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 33 + 9. Let y be 4\/(-6) - (-98)\/z. Suppose y*v = 2 + 278. Calculate the highest common factor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -598885164*p**4 + 128767077324*p**3 - 1454944248*p**2 + 5479952*p - 6880.\nAnswer: -4*(p - 215)*(531*p - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v, 1 q, and 1 d when four letters picked without replacement from {g: 1, q: 7, v: 3, o: 3, r: 2, d: 1}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 68462 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 51. Suppose -2*y + 502 = 5*j, 6*j + 2*y = a*j + 400. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*c**2*d**3 - 2*c**2*d*l + c**2 + 9*c*d**3*l - 2*c*d*l - 2*d**4 + 65*d**2 wrt d.\nAnswer: 120*c**2 + 54*c*l - 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*b = -6. Calculate the greatest common factor of b and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (117\/(-468))\/(73819\/73820 + -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 - 472564990*c - 11165883488685005.\nAnswer: -5*(c + 47256499)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v + 47 + 37 = 8*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (76\/152)\/(2\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.11665ug in grams?\nAnswer: 0.00006311665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -179.4873 to 0 decimal places.\nAnswer: -179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21201*m - x + 4*x - 12 = -21206*m, -2*m + 11 = -5*x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 86 - (-55 - -225).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a = -3*a - 90. Solve 4*s - a = -d, s + 0*s = d - 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, -1, -3, 5 in decreasing order.\nAnswer: 5, -1\/11, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -101 + 101.4. Let r = -189 + 187. What is the nearest to 1 in r, w, 1, 1.8?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.9 - 0.4. Let k = -4.1 - 0.9. Let x = 88\/45 - 14\/9. Which is the second smallest value? (a) k (b) x (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*c + 2*c**2 - 98 - 12*c - 5*c to g + b*c**2 + t*c and give g.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g. Suppose -37*d + 49*d - 24 = 0. Let o(w) be the second derivative of 0*w**d + 0 - 11*w + 5\/6*w**3. Determine a(o(x)).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 560644 - 15?\nAnswer: 560626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/324, 2\/13, 2?\nAnswer: -1\/324","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 13*v**3 + 4*v**2 - 4. Let m(w) = -25*w**3 - 10*w**2 + 9. Give -4*m(c) - 10*n(c).\nAnswer: -30*c**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 2*x**2. Let n(t) = 2941*t - 120 - 5891*t + 2948*t. Calculate n(r(u)).\nAnswer: -4*u**2 - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -272837210*v**5 + 256419410*v - 1 wrt v.\nAnswer: -5456744200*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 228 = v, -3*g + 5*v + 276 - 104 = 0. Is 762\/17 greater than or equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 - 2*n**2 + n - 1. Let y(i) = -104*i**3 - 156*i**2 + 78*i - 78. Determine 78*g(q) - y(q).\nAnswer: 26*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3332 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-5986)\/292)\/((5\/6)\/(3*10\/18))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + v**2 + v**2)*(17 + 0 - 3) + (1 - v**2 - 1)*(3 - 2 - 7).\nAnswer: 48*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/7 - 3604\/(-119). What is the second derivative of m - 281 + 31*m**4 - 61*m**4 + p*m**4 + 150*m**5 wrt m?\nAnswer: 3000*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1836\/(-714))\/(276\/(-10626))\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 437*g + 430 - 180 - 250 in the form j + u*g and give u.\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 58 + 60 - 124 - 11*a**2 to g + c*a + b*a**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a - 84. Let f(n) = -28*n - 61. Let y(i) = 45*i + 92. Let m(x) = -8*f(x) - 5*y(x). Calculate 6*b(g) + 17*m(g).\nAnswer: g - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51017 = -1047*z - 55090 + 13914 + 6339 for z.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -21.87 (b) 0 (c) 0.02 (d) -1308\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + 8*w - 24. Let t = 84 + -102. What is the units digit of h(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 545 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + r + 5 + 2*r - 2*r + 2*r + (r + 1 - 1)*(-2 - 1 + 4) + 0*r + 2*r + 0*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**13\/(k**(-2)\/k) assuming k is positive.\nAnswer: k**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -3, 0.4, 2\/7, -0.4, -0.004?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 24*x**2 + 14*x + 348. Calculate d(-24).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8808 + -866. Calculate the smallest common multiple of 2 and n.\nAnswer: 7942","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**5\/i)\/(i\/i**(1\/38))*(i**30\/i)\/i**(-1\/15))**(-9) assuming i is positive.\nAnswer: i**(-54879\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 58*b - 110?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*v**2 - 6*v**2 + 30*v**2)*(-v + 3 - 3) + (-v + 5*v - 3*v)*(9*v**2 - 58 + 58).\nAnswer: -34*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1696464.269961 - 1696388.27. Let i = -0.183 - 75.817. Let k = i + y. What is k rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Let d = -55 + 63. Suppose -3*f - d*x + 21 = -13*x, 4*x = 4*f - 20. Solve r = -m - f for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -5*s + 29, s - 2*s - w + 4 = 0. Suppose -4*h = -s*k + 1564, -5*k - 3*h = -10*k + 1563. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4876144 and 75348.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (171\/6 + -3)*2.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 1270325?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -t - 26954, -70*j - 8950 = -71*j - 4*t. Is j a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.079 - 0.268. Let u = f + 0.089. Put 5, u, -1.3 in descending order.\nAnswer: 5, u, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/(-10))\/(3\/(-15)). Are g and 38\/21 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20*(-51)\/(-136)*(-4)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i = -91 - 7 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 0)*(1 + 3 - 1)*(0*t + 12*t - 3*t) + (-2 - 3 + 4)*(-4 + 4 + 2*t) - 8*t + 7*t + 21*t.\nAnswer: 72*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 3*b + 43 - 76, 4*u - 3*b - 58 = 0. What is the remainder when 209 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19092380?\nAnswer: 2, 5, 954619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 7. Suppose 0 = -o*j + 5*f + 23 + 27, -3*f = -12. Suppose -5*x - h + 3*h = -5, j = 5*x + 4*h. Solve -5*y - 5 = -3*m, 2*m + x*y = -0*y - 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2686 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*q**3 - 104*q**3 - 634*q**3 - 60*q**3.\nAnswer: -750*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -5) + (15 - 33) + 0\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 5*t - 2191 + 2164 = 0, -3*a = t - 25 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162a25 (base 11) to base 14.\nAnswer: 681ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -68*x**2 + x - 5. Let b(c) = 135*c**2 - 2*c + 9. Calculate 6*b(r) + 11*w(r).\nAnswer: 62*r**2 - r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**0)**(-21))**(3\/41)\/((u*u*u\/(((u*u\/u**(1\/3)*u)\/u*u*u)\/u)*u*u*u\/(u\/(u**0\/u)))\/(u**3\/((u**0\/u)\/u))) assuming u is positive.\nAnswer: u**(11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 94, -2\/15?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 61963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 599?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 + 18. Let x = c - -15. Let s = -597 - -596. Put s, x, -0.08, 0.5 in decreasing order.\nAnswer: x, 0.5, -0.08, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 269*b**2. Let r(l) = 19*l**2. Determine z(r(i)).\nAnswer: 97109*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, l: 7}. What is prob of sequence el?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/4? (a) -0.06 (b) 1\/7 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2522?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - n + 84. List the prime factors of (10\/(-15))\/((-2)\/n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23765.432607 - 0.04\nAnswer: -23765.472607","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1751, -7933, -18547, -33593, -53071, -76981?\n\"Answer: -2216*d**2 + 466*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21400, 42811, 64234, 85675, 107140?\n\"Answer: p**3 + 21404*p - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 246063 - -484384. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625*x - 15488 = -636*x. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 429*p - 13. Let y(u) = 214*u - 6. Let s(w) = -3*t(w) + 5*y(w). Is s(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 74606 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + -28)*(-3)\/6. What is the greatest common divisor of i and 135?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.5 + -1.5. Is j less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of -l**5\/5 + 17*l**4\/4 + 41*l**3 - 293*l**2\/2 + 154*l - 561. Let u(j) = 0. What is j?\nAnswer: -7, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 3*h**3 + 210*h**2 - 406*h + 150. Determine g(-72).\nAnswer: -1722","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -124.54 + 122. Let w = 0.46 - x. Which is the second smallest value? (a) -3 (b) 0.5 (c) w (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111046738 and 536.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*n - 52 = 5*h, 32*n - 30*n - 2*h = -24 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 616.7688 rounded to the nearest ten?\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4969117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1111 - -0.2911. Round o to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbqq when four letters picked without replacement from {q: 4, b: 4, j: 6}?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from appaapppappppppppp. Give prob of sequence aaaa.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 - w. Let y(g) = -12*g**3 + 12*g - 4. Let t(l) = 8*d(l) + y(l). Let b(j) = 7*j**3 - 7*j + 7. Suppose -2*v + 0*v = 20. Determine v*t(p) - 6*b(p).\nAnswer: -2*p**3 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75201?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002445943 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*d**3*r**4 - 2*d**3*r**2 + 17169*d**2 + 704*d*r**4 wrt r.\nAnswer: 816*d**3*r + 16896*d*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13899 less than 1112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -35783.07.\nAnswer: -178915.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -3*o - 246, 5*o + 995 = 4*b + 4*o. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/7)\/2*203\/(-29)*4\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3 + (0 + 2 - 1)*(-5 + 1 + 2) + 3 - 7 + 3 + 5 - 37 + 0)*(-56*f**4 + 2*f + 11399 - 11399).\nAnswer: 2072*f**4 - 74*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 1. Let j be (-17)\/(-3) + 4\/12. Let w(v) = -v**3 + 5*v**2 + 8*v - 1. Let a be w(j). Let b = 6 - a. Calculate u(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -428, -3, -1\/4, 0.3001?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t + 52 + 4 + 3*t - 377.\nAnswer: 11*t - 321","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 25, 59, 115, 199, 317, 475, 679?\nAnswer: 935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/(a**(-9)\/a))*a)**42 assuming a is positive.\nAnswer: a**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -123155 - 101?\nAnswer: -123256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 11:51 PM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18179849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 4, d: 7}. What is prob of sequence ddd?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, -20, -53, -88, -119?\nAnswer: -140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175774 is divided by 87886?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1336927 to the nearest integer?\nAnswer: 1156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**4*x)**(8\/17)\/(x**(-18)*x*x**(3\/4)\/x*x) assuming x is positive.\nAnswer: x**(1297\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*x**3 - 68*x**3 + 140*x**3.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 b, and 2 i when four letters picked without replacement from ibowoiwib?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/68 and -125\/6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7 + (-2 - 0)*1. Let p(c) = c - 8. Let t be p(9). Let f = a - t. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/14490 and -11\/1050?\nAnswer: 72450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4033986223 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10384 + -10383. Which is the closest to -0.05? (a) -5 (b) 128 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 374?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -195*l + 390*l + 1 + 5 + 22 - 196*l. Calculate j(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 - 5 - -8?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -610445 * -0.1\nAnswer: 61044.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3806214 divided by -15286.\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 163 by 4.\nAnswer: 163\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34082567, 34082558, 34082549, 34082540, 34082531, 34082522?\nAnswer: 34082513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76*0.0038.\nAnswer: 0.2888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-58*a - 2 - 93*a**2 + 58*a)*(3 - 2 + 1) in the form v*a + g + m*a**2 and give g.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - (-21)\/(-6))\/(153\/36). Let v be ((80\/(-18))\/(-10))\/((-38)\/3). Let c be (3\/(-3))\/((-10)\/4). What is the third smallest value in l, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 8:30 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 5*l = 0, -3*u + 7*l - 16 = 6*l for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -47*h**2 + 1603*h + 1602. Give f(-1).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, -3, -1, 3, -4 in descending order.\nAnswer: 3, -1, -3, -4, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 1 (c) 1\/15 (d) -147\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-179728.\nAnswer: -53918.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x**4 - 41*x**3 - 676*x + 24. Let o(c) = c**4 + 21*c**3 + 338*c - 11. Let h(f) = -6*i(f) - 13*o(f). What is the second derivative of h(t) wrt t?\nAnswer: -12*t**2 - 162*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 67*f**4*h - f**3*h + 1515*f*h + f wrt f?\nAnswer: 804*f**2*h - 6*f*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((27\/18 - 2)*(-50)\/(-15))\/(-1))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 82 = 5*r, 4*z - 11 - 5 = -2*r. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2518889\/10472 + -13551\/56. Let d = -1593\/6596 + -9\/388. Let o = r - d. Find the common denominator of o and 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*y + 3*d = -3*y + 6*y + 117, 3*y - 39 = -3*d for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -4*v**3 + v**2 - v. Let o be f(1). Let c be ((-21)\/(-35))\/(1\/(-5)). Sort 4, c, o in increasing order.\nAnswer: o, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3032 - 1998. List the prime factors of a.\nAnswer: 2, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13768?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 4*r = -854, -878 = 12*o - 11*o - 4*r. Let h = -834 - o. What is z in -h - 1\/2*z**2 + 8*z = 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -3. Let k be (-2 - -2)\/g + 0. Solve u - 3*a + 6 = 0, 5*u + k*a + 5*a = 10 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3292.9 + 1.06?\nAnswer: -3291.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 83*h + 62 - 81*h)*(0 + 0 + 2).\nAnswer: 4*h + 164","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -541, -954, -1359, -1756, -2145, -2526, -2899?\n\"Answer: 4*i**2 - 425*i - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -1739761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 3*h + 30 = 0, 0 = -2902*a + 2904*a - 2*h + 12 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 11*b = -21. Let n = b + 12. Suppose 175 = 4*i + 4*c - 25, 250 = n*i + 4*c. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + (sqrt(17) - (sqrt(68)\/sqrt(4))**2)*6 + (sqrt(170)\/sqrt(5))\/sqrt(2) + 4 + -6*(sqrt(833) + 3)**2 + -3.\nAnswer: -5153 - 244*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -5*r - 564. List the prime factors of -1*r\/(-21)*-7.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -6, 1, -71, -4, -3 in decreasing order.\nAnswer: 1, -3, -4, -6, -40, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/2*(-84)\/315*46\/46.\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28 - 38*p - 46 + 100*p**2 + 40*p - 27 wrt p?\nAnswer: 200","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/37 + 53\/259. Sort 0.1, z, -1\/3, -8.\nAnswer: -8, -1\/3, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2160 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - 3*f - 20. Let c(w) = -w**2 - 2*w - 10. Let o(x) = -11*c(x) + 6*j(x). Find the common denominator of o(8) and 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 648088896 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -1362*t**3 - 5*t**2 - 1047*t. Let s(d) = -680*d**3 - 3*d**2 - 525*d. Let r(n) = -3*o(n) + 5*s(n). What is the second derivative of r(a) wrt a?\nAnswer: 4116*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + 212?\nAnswer: 20a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 53*s**2 - 3*s - 5. Is y(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -56, 0.1, -4, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (-18 + 11)) + 11.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 + -2 - (5 - 6)*63. Let q = 27 - i. Let u = q - -35. Let x(z) = -2*z - 5. What is x(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 - 11*m + 2. Calculate b(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 + -6. Let j = i - -14. Suppose -g - 22 = 2*y + 3*g, 0 = 4*y - 3*g. Is y equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -m**2\/2 + 2*m + 3. What is the units digit of t(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(-6) - 3\/(-6). Which is smaller: -1 or n?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 11:55 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**3 - 6*a**2 + 5866797*a + 175073992 wrt a?\nAnswer: -6*a**2 - 12*a + 5866797","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**4\/30 + 2962*a**3\/45 + 109816*a**2\/3 + 219040*a\/3 + 4505. Suppose s(i) = 0. Calculate i.\nAnswer: -740, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 + 7*p - 27. What is o(-8)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 24505 + 36434\nAnswer: 60939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from krwrrwrwwrr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 3*c - 10. Let m be (-34)\/6 - (-4)\/6. Let f be r(m). Solve f = -3*j - 0 - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbbffbfbfbzfbzffbz. Give prob of sequence zbb.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 9*c**3 + 26*c**2 - 394*c - 1125. What is m(-3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.926956 centuries?\nAnswer: 89.26956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2254 - -662056?\nAnswer: 656502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56078265 to the nearest integer?\nAnswer: 7489","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*f + 218 = -1345, 0 = -2*w - 4*f + 628. Calculate the highest common factor of 3900 and w.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**3\/3 - 7*z. Let b(h) = -11*h. Give l(b(j)).\nAnswer: 22*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1417308 divided by -118109?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s**2 - 3*s + 6. Let y(n) = 3*n + n**2 - 1 - 3*n. Let p(h) = 6*y(h) + z(h). What is the second derivative of p(v) wrt v?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -10*k - 88. Let h be t(-11). Suppose 0 = 5*f + 2*r - 26 - 31, -2*f = r - h. Does 10 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 1. Let n be i(1). Let b be (-1 - -4) + n - 19. Let m = 60 + b. Round m to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(3840)*-3 + 1*(sqrt(3840) - 1*sqrt(3840) - sqrt(3840)))\/((sqrt(360)\/sqrt(6))\/sqrt(5) - (sqrt(132)\/(2*sqrt(11)) - sqrt(12))).\nAnswer: 32*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44 (base 16) to base 15.\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 2 = -2*o + 10, -4*f = 2*o - 44. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238 divided by -7.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 87 - 76. Calculate the least common multiple of 4 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -6, -1, -0.79.\nAnswer: -6, -5, -1, -0.79, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*h - 121*h + 245 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40*(-2)\/(-60)*5*-33. Let b be 12\/(-14) - d\/(-70). Let q(x) = 2*x. Let a be q(5). Put -1, b, a in decreasing order.\nAnswer: a, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6006\/187 + 2\/(-17). Calculate the highest common divisor of 176 and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 10:56 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25282.1729 - 25287. Let l = -4.8 - d. What is l rounded to 3 decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + i - 5. Let r(c) = -2*c**2 - 3*c + 11. Let m(u) = 6*r(u) + 13*v(u). Let b(y) = 9*y - 67. Let g be b(8). What is m(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 + 51*l + 189. What is x(-22)?\nAnswer: -449","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 0*k = 0. Suppose k = -4*h + 2*h. Let f(u) = 5*u - 3*u + h*u. Let q(j) = -2*j. Give f(q(y)).\nAnswer: -4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18655205?\nAnswer: 5, 17, 41, 53, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(720) + 1 - ((sqrt(720)*1 - sqrt(720)) + sqrt(720) + -5 + sqrt(720))) + -3 + 5 + 1)**2.\nAnswer: -120*sqrt(5) + 745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = -3*d - 24, -k = -4*d - 12. Let n = 84\/23 - 1183\/368. What is the common denominator of (-107)\/(-44) + 8\/d and n?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 881501 to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -h**2 + 6*h - 3. Let g be z(5). Suppose 0*n = -g*n + 82. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-2*sqrt(22))\/sqrt(11))**2*2.\nAnswer: 32*sqrt(2) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -261 - -284.6. Let g = q + -27. Round g to zero dps.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21728, 21726, 21724, 21722?\n\"Answer: -2*j + 21730","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160453116.\nAnswer: 2, 3, 89, 16693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.60011mg in micrograms?\nAnswer: 37600.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 53 (b) 363\/2 (c) -0.06 (d) -0.001\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 - 6*n**2 + 6*n - 6. Let r be x(-7). Is -2 + 22 + r*-3 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 12. Suppose -3*c + 0*c + 39 = 0. Suppose -6*n + n + a + 9 = 0, -g*a - c = 3*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4930 (base 14) to base 11\nAnswer: 9670","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 165, -5, 5, 2 in ascending order.\nAnswer: -5, -4, 2, 5, 165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*k - 25. What is the remainder when 75 is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 11 - 360*b + 142*b**3 - 357*b + 717*b wrt b.\nAnswer: 426*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes before 8:21 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - 8407*m**2 + 16803*m**2 + 3*m + 0*m - 8398*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiwiiwvwiviiiii. Give prob of picking 1 w, 2 i, and 1 v.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99972331, 99972332, 99972333, 99972334?\nAnswer: 99972335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/30 - (1672\/15)\/(-11). Let t(c) = -c**3 + 10*c**2 + 2*c - 10. Let y be t(i). Calculate the remainder when 141 is divided by (8\/y)\/(6\/135).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, 0.1, 1.1 in decreasing order.\nAnswer: 1.1, 0.1, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.6954392 * -4.\nAnswer: -90.7817568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -62, 2 in decreasing order.\nAnswer: 2, 1, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*g**3*u**4 + 2*g**3*u + 144*g**2*u + g*u**4 wrt u?\nAnswer: 48*g**3*u**2 + 12*g*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 2*r + 4. Let g be m(3). Let u = 304 + -814. Find the common denominator of g*3 + 3349\/u and 143\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbb when four letters picked without replacement from bsssbbgbbkskbb?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72 = -47*a - 730 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*g, x - 216 = -x + 4*g. Is 8 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54492 is divided by 4940?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - (0 + -2 - 4). Suppose 0 = -4*g - 3*y + 30, y - 11 + 3 = -g. Let 19*v + g*v**2 - 70 - 2*v**2 - q*v + 76 = 0. What is v?\nAnswer: -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2921 and -6.\nAnswer: -2927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 122*r + 6*r**2 + 129*r + 124*r - 365*r - 10. Calculate d(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 279.7 - 175. Let k = t + -105. Which is the third biggest value? (a) 4 (b) k (c) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 45*w**4 - 767*w**3 + 34*w**2.\nAnswer: w**2*(w - 17)*(45*w - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c - 6. Let p = -31 - -60. Let v = p - 22. Suppose -2*h = -v*h + 3*y - 25, h - y = -5. Give u(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 490.6893 grams?\nAnswer: 490689.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -34396 at least -34395?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 - -231) + 3\/(-3). Suppose -11*p + s = -402. What are the prime factors of p?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6.8 + -7. Let y = 9 - 4. Let b = 11 - 9. What is the second smallest value in y, b, p?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(432)*-2 - (sqrt(3) + 2 + -3))*4 + -1)**2.\nAnswer: -600*sqrt(3) + 30009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 11, 3, -19, -61, -129, -229, -367?\n\"Answer: -b**3 - b**2 + 2*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22514432 + 2.\nAnswer: 22514434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1225.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/3)\/(r\/(r*r**0*r)))\/(r**(-2\/5)\/r**4))\/((r*r*r**1)**(-8\/9))**(-10) assuming r is positive.\nAnswer: r**(-314\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:51 AM?\nAnswer: 3:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Are 110\/19 and -3\/8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -24, -31, -38, -45?\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/5*4\/8.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -43866, -43863, -43860, -43857, -43854?\n\"Answer: 3*n - 43869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*l - 2241 = -270*l + 168*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*3\/(-2) + 132. Let y = 88 + d. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3746 or -453445\/121?\nAnswer: -3746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -24524*y**2 + 2*y - 4. Let x be z(4). Let v = 852380 + x. Round v to the nearest one hundred thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -5 + 28 - 25 - 2*f - f**3 + 8*f - 4*f**2. Suppose 10 = -5*l - 15. Calculate j(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 25, -3*x = 2*t - 21858 - 1627. Suppose -i + 11760 = -4*g - 3881, 5*i = 2*g + x. Is g\/15*-3*(-1)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -5 - (-6 - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 151*b**2 + 15*b - 6. Let m be n(14). Round m to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -156244420650593 and -2.\nAnswer: -156244420650595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 24884899, 49769777, 74654631, 99539449, 124424219, 149308929, 174193567?\n\"Answer: -2*t**3 + 24884892*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**4 + 10614*t**3 - 74421*t**2 + 85128*t + 170160 = 0.\nAnswer: -3545, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.06*-0.151.\nAnswer: -0.31106","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from ydddyyyyddydyydy?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 2*k**2 + 3*k - 44. Calculate s(0).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 191850 and 4310?\nAnswer: 82687350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + w + 5. Let i(m) = -m**3 - 3*m**2 + 9*m - 4. Let c be i(w). Let y be 4\/(-104)*(-4 - 0). Which is bigger: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6996 + 6995.3. What is the nearest to 1\/4 in -1, -0.5, -0.11, n?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.3273 + -0.019. Let r = k + 0.34. What is r rounded to 3 dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-2) + 1 + -2. Suppose -z = 1, -3 - 6 = -4*w + p*z. Let r be ((-48)\/(-30))\/(w\/10). Solve -4*u - 2*d = 0, 5*d = 3*u - 5*u - r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -v**3\/3 + 794. Let t(w) = 23*w - 3. Let l(h) = -22*h + 4. Let x(s) = -3*l(s) - 4*t(s). Give x(o(d)).\nAnswer: 26*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express -3112 - 7*k + 5*k**2 + 3114 - 14*k as h*k**2 + r*k + v and give r.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*u - 13 = -2*u, u - 3 = 0. Let s(x) = -6407*x**2 - 10*x + 1. Let j(y) = -2957*y**2 - 5*y + 1. Let g(k) = 13*j(k) - 6*s(k). Calculate g(p).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k + 3. Let g(q) = 2*q - 5. Let j(p) = -3*p + 5. Let x(z) = -3*g(z) - 4*j(z). Let b(h) = -5*r(h) - 3*x(h). Is b(-11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yw when two letters picked without replacement from gwgyhwhymmwwm.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -352 - -382. Solve d + 3*h = 19, -2*h + f = 21*d - 16*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3809 - 2691. What is the thousands digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.001, -79, -35 in decreasing order.\nAnswer: -0.001, -35, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j - 22*j - 226 - 11*j + 226.\nAnswer: -36*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 153615161 (base 7) to base 14\nAnswer: 15325a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 525420.\nAnswer: 2, 3, 5, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of 0*i**4 + 0*i - 1\/6*i**5 - 155*i**2 - 1\/120*i**6 + 0 + 5\/6*i**3. What is r(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, x: 3, k: 4}. Give prob of sequence kxk.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + ((-15)\/(-5) - 1). Let h be -4 + -2 + t + 62. Let d = 669\/11 - h. What is the closest to 0 in d, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - d + 13 + 42, 3*d = 9. Suppose 12 = -5*t - z. Let u(j) = 4*j**3 - 9*j - 9. Let r(m) = -2*m**3 + 4*m + 4. Determine t*r(x) - 2*u(x).\nAnswer: 2*x**3 - 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ieei when four letters picked without replacement from {e: 4, i: 10, c: 6}.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -331 - 8 = 28*y - 31 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*m + m + 13, 4*s + m - 3 = 0. Suppose 4*y + s*r = -18, 2*r + 2*r = 4. Which is the second biggest value? (a) -4\/9 (b) -0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -200547.6327 to the nearest 10000.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 6\/7, 0, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27984 - 27528. Calculate the greatest common factor of 96 and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 891201 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 3094690131?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1da60 (base 15) to base 14.\nAnswer: -27412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -102 - -712\/7. Suppose -231 = -35*j - 196. Which is the closest to 1\/4? (a) m (b) 29 (c) -0.2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 112 + -371. Let q = s - -1245. What are the prime factors of q?\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.412729 kilometers to millimeters.\nAnswer: 4412729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/199068 and -89\/795.\nAnswer: 995340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -10661 less than -10660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 13 (b) 5 (c) 367.9 (d) -0.11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23, 360, 1311, 3194, 6327, 11028, 17615?\nAnswer: 26406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (7 + (-5 - -10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31074?\nAnswer: 2, 3, 5179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3945 and 225?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39582 divided by -6.\nAnswer: 6597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 + 6*y**2 + 5*y - 3. Suppose -4*r = 4*x + 3 + 17, 4*x + 3*r = -18. Let n be u(x). Let b be 56\/84*n\/2. Sort 5, b, 0 in descending order.\nAnswer: 5, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7155)\/1060)\/((-1)\/(-4)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3400231 (base 5) to base 16\nAnswer: e831","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -10 - 2*y + 0*y + 10. Let v(u) = 3*u - 2. Let a(g) = 12*g - 9. Let c(m) = -2*a(m) + 9*v(m). Give z(c(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/r**30*r*(r**(-8\/11)\/r)\/r assuming r is positive.\nAnswer: r**(-338\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 30 = 4*y, -3*y - 2*m = -2*y - 5. Let c(h) = -2*h + 3. Let b(v) = 3*v - 10. Let r(q) = b(q) + 2*c(q). Calculate r(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5979665 and 8.\nAnswer: 47837320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 140162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1*(195\/39)\/((-10)\/(-8)). Let f = 223 - 223.3. Which is the nearest to 2\/103? (a) f (b) g (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.407 - 0.053. Let j = 0.06 + d. Let r = -4.7 + 5. Which is the closest to 1? (a) -3\/2 (b) r (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2030, 1\/3, 589 in increasing order.\nAnswer: -2, 1\/3, 589, 2030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 21*n**2 + 107 - 29 - 45.\nAnswer: -21*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -352 and 1.\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1233352?\nAnswer: 2, 23, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 31*b. Let q(i) = 61*i**2. What is q(h(u))?\nAnswer: 58621*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/165 or 0?\nAnswer: -1\/165","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1098 - -204. Let m = 892 + b. Sort 586\/5, 0.4, m in decreasing order.\nAnswer: 586\/5, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013210231 - -13?\nAnswer: 1013210310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 212165 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 198345130 and 4965.\nAnswer: 1655","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33884418 divided by 166?\nAnswer: 204123","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-22)\/44)\/(2\/(-1656)) is divided by 57.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -855842\/95 + 9009. Find the common denominator of x and 68\/15.\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 194595000.\nAnswer: 2, 3, 5, 12973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4876140 rounded to the nearest one hundred thousand?\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 638*n**3 - 311*n**3 + 4*n - 321*n**3 to p*n + s*n**3 + d + u*n**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.00351 - 0.00351. Which is the fifth biggest value? (a) 0.2 (b) -0.1 (c) -2\/7 (d) 3 (e) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 18 + 8 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of s**3 + 14*s**2 - 8*s - 26. What are the prime factors of w(-12)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -21 - -21.05. Which is the second biggest value? (a) k (b) 1\/5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27907 and 53218?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + -55. Let y = i - -176. Suppose -3*p - 4*g = -y, g - 28 = -p - 3*g. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 23*i**4\/6 + 247*i**3\/2 - 157*i**2. Find the first derivative of a(q) wrt q.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3633.195l?\nAnswer: 3633195","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1271437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f + 2. Suppose -8*r + r = 2*r. Let p be y(r). Solve -p*j + 10 = -7*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10044 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 + 5)*55\/11. Let o(c) = 1 + 17*c - t*c - c**2 + c**3 + 19*c. Let q(v) = -5*v**3 + 2*v**2 - 2*v - 4. Determine -2*o(i) - q(i).\nAnswer: 3*i**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 q when two letters picked without replacement from {d: 1, t: 1, q: 1, s: 2, w: 2, u: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 1. Let f = -12.04 + 12. Let q = f - -0.34. Is z at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2131 + -2122. Suppose -3*w + 0*w - 33 = -2*s, 0 = 5*s + w - 40. Calculate the greatest common factor of s and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a - 2*a + 4*a + (-3 - a + 0*a - a)*(-4 - 4 - 15) to the form j*a + k and give j.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/4 and 3\/(-72)*326 - -2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b (base 16) to base 4.\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 5*u + 633, 162 = b + u - 6*u. Suppose -w + 74 = -4*f, 2*w + f = 6*f + b. What is the greatest common divisor of 387 and w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -2 - (9 - 11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 306017656 and 18.\nAnswer: 2754158904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-88 - 5 + 197)*(5 - 4 - 5)*(0 + 0 + 2*b**2)*(-2*b - b**2 + 2*b).\nAnswer: 832*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 5) to base 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = -4*j + 8, -3*j + p + 10 = 2*j. Suppose -2*k - 6 = -j. Which is the second biggest value? (a) k (b) -0.2 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -73 in 25.2, -5, -4, -36\/11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 93.884 + -0.884. Which is the second biggest value? (a) i (b) -0.2 (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 5*l - 33 = -0*d, 0 = -3*l + 15. Solve -75 + 83 = d*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*y**3)*(5 + 9972*y + 3 - 6574*y - 45577*y - 8).\nAnswer: -84358*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-4))\/(30\/(-16)). Let q be 4 + 1\/2*0. Let h be q\/36 + 0\/(-1). Sort h, l, 5 in ascending order.\nAnswer: l, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -33*p. Let o(n) = 45 + 56 + 35*n - 166 + 65. What is q(o(c))?\nAnswer: -1155*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-1 + 2 - 18). Let h = -0.42 + 0.12. Let s = 0.5 + -0.3. What is the nearest to s in b, -2\/9, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -107*j - 1305*j - 2164*j**5 - 266*j - 906*j**5 - j**4 wrt j?\nAnswer: -61400*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(1\/6)*l**12*l*l*l*(l**(-7\/5)\/l)\/l**(-1\/12) assuming l is positive.\nAnswer: l**(811\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 7*b**2 - 5609*b - 37975. What is m(808)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/7220 and 151\/27870.\nAnswer: 20122140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 - q - 4. Let d be n(5). Solve d = 4*s - 0*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-3)\/((-9)\/(-6)))\/(-2) and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 27\/5 - 113\/20. Sort 1, 2, x in descending order.\nAnswer: 2, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvv when four letters picked without replacement from {v: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 115243, 231302, 347361, 463420, 579479, 695538?\nAnswer: 811597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 5609\/38161?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-36)\/(-21) + (-2)\/(-7). Suppose -2*q - h + 2 = -0*h, -3*q - 3*h + 3 = 0. Sort q, -2, x in decreasing order.\nAnswer: x, q, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 2*p**2 + 3*p - 4. Let b be a(3). Let r be b\/3*5*-9. Suppose 0 = -3*h - 0*h + r. Calculate the greatest common factor of 140 and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 86 - 47. Let h be 6\/(-3)*2\/(-4)*f. What is the hundreds digit of h\/26*(-496)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b**3 - 5*b**2 - 6*b - 14. Let a be (3\/(-9))\/(2\/(-108)). Let q be (-33 + a)*(-4)\/(-10). Is n(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -9*g**3 + 13*g**2 + 9*g + 15. Let p(n) = 4*n**3 - 6*n**2 - 4*n - 7. Suppose -55 = 5*f + 5*q, 4*f - 4*q + 58 = -q. Determine f*p(j) - 6*r(j).\nAnswer: 2*j**3 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.52 - -9.18. Let h = 664 - 653.18. Let z = d - h. Which is smaller: z or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 15*i**2 - 2. Give n(3).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3, -16, -37, -66, -103, -148?\n\"Answer: -4*q**2 - q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -16, 5, 2.\nAnswer: -16, -9, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) - (sqrt(70) - 3*sqrt(70))) + sqrt(70))\/sqrt(2))\/(-4*sqrt(343))*-2*-3.\nAnswer: -6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -4909115 = -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 31*c**5 + 2*c**4 - 31*c**3 - 78*c - 117?\nAnswer: 620*c**3 + 24*c**2 - 186*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i*i\/i**33))\/i**(4\/27))\/(i**(-12\/5))**(-1\/5) assuming i is positive.\nAnswer: i**(20501\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3*(sqrt(1764) + 2*sqrt(1764))\/(sqrt(12) + (sqrt(12) - sqrt(144)\/(sqrt(12)*-2) - sqrt(12)))*-6)**2 + 2.\nAnswer: 190514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 3*x**2 - x - 2. Let o be p(1). Let b(f) = 2*f**2 - 5*f - 1. Is 15 a factor of b(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -806*t. Let p(i) be the second derivative of -25*i**4\/12 + 13*i + 257. What is z(p(f))?\nAnswer: 20150*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*i**4 + 0*i**4 + i**4 + (-3*i**2 + 4*i**2 - 2*i**2)*(-2*i**2 - 2*i**2 + 2*i**2) - 2*i - 178*i**4 + 0*i**2 + 177*i**4 + 8*i**2.\nAnswer: 2*i**4 + 8*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -5)\/(2\/3 + 1). Which is the nearest to 1? (a) l (b) 2 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08597, 0, 3, -13, -0.2 in increasing order.\nAnswer: -13, -0.2, 0, 0.08597, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (87 + 122 + 143)*(11*v + 6 - 4 - 2) in the form i*v + s and give i.\nAnswer: 3872","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pivsijvpvgvvvppgp. What is prob of picking 1 v, 1 j, and 2 p?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 134671.67 plus -0.0251887?\nAnswer: 134671.6448113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*h**2*w - 26*h**2 + 3*h*w + h + 3*w wrt h.\nAnswer: 30*w - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 4*i - 95. Let g = -48 + i. Suppose -2*k = -k - g*k. Solve 3*v + 12 + k = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -9 - ((-5 - 0) + 1)) + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.34 - 0.66. What is the nearest to -1 in -0.02, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.11611 = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4636)\/(-14) - 63\/441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1404366 + -626?\nAnswer: 1403440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*z + 8*z - 66*z**2)*(-4*z**3 + 3*z**3 + 2*z**3 + (-2*z + 2*z + 2*z)*(-z**2 - z + z) + 4*z**3 - 5*z**3 - z**3).\nAnswer: 198*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111101 - 101111110000111?\nAnswer: -101111100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -86543.6748 to the nearest ten.\nAnswer: -86540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 y when four letters picked without replacement from jpjyjjyyjppyy.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + r = -649, -3*k + 6*r = 4*r - 483. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + i + 1. Let a(n) = -2*n**2. Let w(k) = -2*k**2 + 3*k + 3. Let d(q) = 6*a(q) - 2*w(q). Give -d(h) - 6*x(h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 + 192*m**3 - 400*m**2.\nAnswer: 4*m**2*(m - 2)*(m + 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 14*d + 13*d - 24, -5*p + 2*d + 28 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100000000110 - 101101100?\nAnswer: 11011010011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is -1694 divided by 1?\nAnswer: -1694","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4154973 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1145543, 1145554, 1145561, 1145564?\n\"Answer: -2*t**2 + 17*t + 1145528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 6*r**2 - r - 1. Let n be k(-1). Suppose -2*f + u = -24, -2*u - 2 = -n. Suppose 5*o - 78 = 2*o. Calculate the greatest common divisor of o and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s + 3. Let u be v(3). Let t(p) = -p**2 - 8*p. Let w be t(-4). Suppose u*k - w = -4*k. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c + 250 = 8*c - 3*c. Let j = -512 - -717. Let s = c + j. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(112) - (-1 + sqrt(112) + 3)) + sqrt(112) + 1*sqrt(112) + -1)**2.\nAnswer: -128*sqrt(7) + 512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.04, 7, 0, 1\/4, -1659?\nAnswer: -1659","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3696*x - 3886*x = -2280 for x.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 m, and 1 o when three letters picked without replacement from rsrggssmrvoog?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 458 - 392. Suppose -68*c + u*c + 5*y = -204, 5*c + 4*y - 444 = 0. What is the greatest common divisor of 12 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 + -a20?\nAnswer: -a1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 50 = -k, 0 = -3*k - 4*g - 643 + 702 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -445 - 313 = -320*b + 202. Suppose -3*u = 5*y - 0*u + 133, -5*y + 2*u = 153. Let i = -21 - y. Solve b*r = -r - 3*d + 1, -4*r + i = -4*d for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bd6a (base 15) to base 13.\nAnswer: -15376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12473 + 12479. What is the greatest common factor of t and 11922?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/j**(-2\/3))\/(j\/(j\/j**(-2\/13))))\/(j**(-2)*j*j**(-1\/2)\/j*j))**5 assuming j is positive.\nAnswer: j**(1685\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 39*n - 265. What is the least common multiple of 1240 and v(7)?\nAnswer: 1240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3710747, -3 in decreasing order.\nAnswer: 1, -3, -3710747","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 17 - 27 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13756 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 9 + 7 = -3*q, -3*q + 2*s = 10 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*a**2\/3 + 40*a\/3 + 3500\/3 = 0. Calculate a.\nAnswer: -25, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 76834 and 3526.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 4. Calculate p(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*i - 6*i**2 + 1268*i**2 - 6*i.\nAnswer: 1262*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2878081499 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 208900 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 13974, -1\/4, -0.5, -0.3, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107.2 - -108. Let t = -0.27 + -0.03. Let o = t + 0.2. Which is the closest to o? (a) p (b) -4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {u: 2, z: 1, x: 3, d: 2, b: 4, t: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -123?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hs when two letters picked without replacement from {p: 9, s: 5, b: 1, h: 3}.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12285 - 12288. Sort 160, d, 4, -2 in decreasing order.\nAnswer: 160, 4, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11245320140 + 2?\nAnswer: -11245320134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**2 - 186*p - 1661. Give k(-82).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 3*i + 230 = 0. Let o = i + 50. Suppose 0 = o*j + 3*d + 8, d + 3 = -j - 0. Calculate the remainder when j is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 24\/15 + 195998\/(-5). What is n rounded to the nearest 1000?\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 1 - (-4 + 2) - (-18 + 17)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 2*h - 578 = -10*f, 0 = -f - h + 117. What are the prime factors of f?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of 0 - t**2 + 0*t + 1\/11*t**3 + 1\/66*t**4 - 1\/330*t**5. Factor j(r).\nAnswer: -2*(r - 3)*(r + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:41 AM and 6:06 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003746099 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/1)\/(355 + (-7 - 290))?\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.04595 and 0.030832.\nAnswer: -0.0014167304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44279, -88520, -132725, -176894?\nAnswer: -221027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1162*z - 980*z + 4239 = -2310*z - 2817 for z.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -10\/3 (c) 650 (d) -0.025\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*l**2 - 442*l**2 + 194*l**2 - 3*l**3.\nAnswer: -3*l**3 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 69?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2709420?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 2 q when three letters picked without replacement from qqlllllllql?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*j + 159 = 430, -h + 3*j = -64. What is the remainder when h is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 8*m, -1881 = -3*u - 3*m + 735. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 16*a. What are the prime factors of c(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -178097 (base 10) to base 12\nAnswer: -87095","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -380a?\nAnswer: 3806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2*b - 67 = 125, -91 = f + 4*b. Let t = f - -141. Calculate the remainder when t is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/(g**4\/g)*g**3\/(g\/g**2))\/(g*(g**(-1\/4)\/g)\/g*g\/g**(2\/17))**27 assuming g is positive.\nAnswer: g**(811\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + -45 + 24 + -26 + 44.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20 - 5 + 36)*(-2*o**2 + 2*o**2 - o**2 - 1) to the form k*o + n*o**2 + q and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 13 - 1 = 3*g, 0 = -2*u + g - 4. Let d be 4 - (-2 + (u - -3)). Suppose -f = -0*f - 3. Solve -d*z = 0, b + z = -2*b + f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -153 + 137. Let u = 41 - w. What is the highest common factor of 152 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + (-1980)\/(-40))*((-22)\/(-231) + 6\/(-14)).\nAnswer: -29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 16 + 77 - 31?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.5 - -3. Let q = -30 + 25. What is the second smallest value in k, -1\/2, q?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 0.61.\nAnswer: -0.244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t - 2*t + 2*t**2 + (t - t + 2*t)*(-t + 3 - 3) + 0*t + 0*t - t**2)*(-936 - 791 - 371).\nAnswer: 2098*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - d**2 + 3. Calculate the smallest common multiple of a(2) and 49.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8 + 4 + 8 - -2) + 43 + -28\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 29 - 27. Let a(l) be the second derivative of -n*l + 0*l**3 - 1\/12*l**4 + 0 + 0*l**2. Let u(k) = -4*k**2. Determine u(a(z)).\nAnswer: -4*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2725 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/(-34)*24\/(-300)*10.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 20, 40, 78, 140, 232, 360?\n\"Answer: u**3 + u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (-41 - (9 - 14)) - 14\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -5*o**2 - 4*o - 5. Suppose 0 = 2*c - 7 - 3. Let v(w) = -1 + w + 4*w**2 + c + 2*w. Give -3*l(g) - 4*v(g).\nAnswer: -g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 - 56. Let r = x + -18. Calculate the remainder when r is divided by 64\/(-112) + 120\/14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.3 and -38.5.\nAnswer: -38.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 158413 (base 10) to base 11\nAnswer: a9022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of -6*s + 0*s**2 + 1\/4*s**4 - 1\/3*s**3 - 6. Suppose 0 = -2*l + l. Give r(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 - 8*m**2 + 10*m + 5. Let s(j) = j**3 - j**2 + j. Suppose 0 = i - 6*i - 5. Let f(r) = i*z(r) + 2*s(r). What is the units digit of f(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 31.0458 or -7?\nAnswer: 31.0458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 + -26 + 3023 + 2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a06 (base 16) in base 3?\nAnswer: -10112001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 110 - 28 - 45 - 18*p.\nAnswer: -18*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 294 (base 13) to base 6\nAnswer: 2043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3315 = 13820. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*h**2 - 81*h**2 + 41*h**3 - 95*h**2 - 39*h**3.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -111.613 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 114 - 109. Find the common denominator of -5\/18 and (i - 4\/2) + (-506)\/126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/25? (a) 6.65 (b) 4476 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 2*i = -12, -2*k + 5*i - 6904 + 6919 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6*r + 18 + 52 - 19 + 8*r - 5*r. Determine g(12).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 333*h + 270. What is v(-1)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 328*t**2 - 51*t - 12. What is f(-1)?\nAnswer: 367","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 5.7. Let q = i - 0.3. Let p = -708\/7 - -101. What is the nearest to 0 in p, -4, q?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -527, -488, -435, -362, -263?\n\"Answer: u**3 + u**2 + 29*u - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 3 = p - 12, 40 = 3*s - 5*p. Let k(x) = 2*x + 0 + 2 + 0. What are the prime factors of k(s)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -286718\/33 + 95580\/11. Let 2\/9*v**4 + i*v**3 - 10\/3*v**2 + 34\/9*v - 4\/3 = 0. What is v?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19229 and 10045.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 9376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5803972ms in seconds?\nAnswer: 0.0005803972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -6*w - 31. Let k be s(-8). Solve -4 = -m + f, -3*f + 2 = k for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 10*g**3 - g**2 + 11*g - 38. Let h(s) = -7*s**3 - 9*s + 38. Determine 4*h(d) + 3*m(d).\nAnswer: 2*d**3 - 3*d**2 - 3*d + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 47*h + 2. Let j(z) = 8692*z + 371. Let a(c) = -2*j(c) + 371*x(c). Let k(q) = -2*q**2. What is a(k(n))?\nAnswer: -106*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -2 (b) -0.34 (c) 3\/5 (d) 101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirteen quarters of a century?\nAnswer: 3900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/750 and -33\/9050?\nAnswer: 135750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*b - b + 142*b - 1191788. Is b a multiple of 43?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 61*l + 1040. Give w(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 5 and 1566198117062.5.\nAnswer: 1566198117067.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*t**3 - 6*t**3 + 3*t**5 + (-t + 2*t + t)*(-t**4 + t**2 - t**2).\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/46899 and 67\/4370292?\nAnswer: 117997884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 5*f + 10. Let o be (1214*(-1)\/(-20))\/(f\/(-4)). Let h = o + -121. Which is the closest to h? (a) -1\/5 (b) -1\/25 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - 6*f + 6. Let v = 8 - 6. Suppose 0 = 4*y + v*q - 196, 5*q + 6 = -4. Suppose -2*o + 5*j = -29 - 8, 4*j = 5*o - y. Give p(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 402 - 41342?\nAnswer: -40440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 333.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*b + 4152, 5*c - 5190 = 7*b - 4*b. Does 5 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -26501*l**4\/4 - l**3\/3 + l**2 + 2*l + 5. Let u be z(-1). Round u to the nearest 1000.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/(-9))\/(10\/(-7920)*24). Let k = 23\/20 - 7\/5. Which is the closest to k? (a) w (b) 1 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/3 + (-2296)\/24. Let k = -94 - i. Let l(f) = 2 + 17*f + 4 - 6*f**k - 20*f + f**3. Give l(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 AM and 4:39 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (894 - -9)*(-10604)\/(-6). Let t = h + -5902. Suppose 0*f = -5*f - t. What is f rounded to the nearest 10000?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 877 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.680424635 to 2 dps.\nAnswer: 0.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -17, -36, -59, -80, -93, -92, -71, -24?\n\"Answer: i**3 - 8*i**2 - 2*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -0.1, -0.5, 1527 in descending order.\nAnswer: 1527, -0.1, -1\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of j**4\/4 - j**3\/3 + j**2 + 33*j + 23. Let l(b) be the first derivative of i(b). What is l(2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 172\/1263085 - -90453801363\/73258930. Let v = o + -6169\/5. Find the common denominator of v and -29\/10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than -59.94174?\nAnswer: -59.64174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 229895632 times -3\nAnswer: -689686896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(8\/7)*i\/(i**(-16)\/i))**45 assuming i is positive.\nAnswer: i**(6030\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 82158800 to the power of 1\/2, to the nearest integer?\nAnswer: 9064","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3*5\/(-15)*3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14032321 (base 5) to base 4.\nAnswer: 202313310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -2*q**2. Let f(z) = z + 1. Let w(m) = 8*m + 15. Let b(h) = -55*h - 105. Let u(s) = -3*b(s) - 20*w(s). Let i(v) = 15*f(v) - u(v). What is i(g(a))?\nAnswer: -20*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 a, 1 b, and 1 o when four letters picked without replacement from akbqokkakkkkkby?\nAnswer: 32\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*w**3 + 3*w**4 - 2*w**4 + 2 - 14*w**2 - 19*w**3 in the form m*w**2 + s*w + l + t*w**4 + q*w**3 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10279363?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41420732?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 20*-1.388\nAnswer: -27.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**3 + z**2 - z. Let h(l) = -l - 4. Let v be h(-5). Let s be t(v). Solve 3*j + s*j = -10 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 14*i + 234. Give m(-19).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -14. Let u = -119301\/7400 - 3\/925. Let z = r + u. Which is the third biggest value? (a) z (b) -0.4 (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -1843*q**2 - 3944*q + 1503. Find the first derivative of o(n) wrt n.\nAnswer: -3686","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -a + 30, -5*h + 2*a + 2 = 76. Let z = h - -14. Factor -2\/5*b**3 + 0 + z*b**2 + 0*b - 1\/5*b**4.\nAnswer: -b**3*(b + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 1:28 AM?\nAnswer: 1:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 1 = -2. Let i = -205\/34 + 6. Do z and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 5*l**3 - 10*l**2 - 20*l - 10. Let t(r) = -r**2 - r - 1. Let m(v) = -b(v) + 10*t(v). Find the second derivative of m(k) wrt k.\nAnswer: -30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 18 - 7 = 0, 0 = -2*n + 2*k + 884. What is the highest common divisor of 23 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7505\/(-158) - (2\/(-4) + 0). Let p(n) = -5*n - 232. What is p(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + -3. Let x = 10 + -6. Suppose -x*d + 7 = h - 2*d, -n*h + 5*d = 23. Is h < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y - 236 = -396 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1566\/60 + (-3)\/30 + 7. Solve -65*x + 96 = -h*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13753 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 518279796 to the nearest integer?\nAnswer: 803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 753 = 4*j + 5*y - 1358, -y - 2675 = -5*j. List the prime factors of j.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 152761 to the nearest integer?\nAnswer: 391","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11896\/104090)\/(4\/(-42)))\/((-1)\/(-50)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.202 and -596.\nAnswer: -599.202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 10:03 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15.2 - 163.2. Let a = x + 144. Put -29, 2\/13, a in ascending order.\nAnswer: -29, a, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 - (-3 - (-1 - 2)) is divided by 24.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5448 - 5434. What is the greatest common divisor of i and 371?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 621.78305 days in weeks?\nAnswer: 88.82615","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 10) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(8\/(-9)))\/(5\/80*-78).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*x**3\/4 - 1947*x**2\/4 - 28236*x - 202800.\nAnswer: -3*(x + 104)**2*(3*x + 25)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**5\/4 - g**4\/3 - 19*g**3\/6 + 89*g**2. List the prime factors of v(-7).\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 e when three letters picked without replacement from iiiegiieiieee?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sasuua. What is prob of picking 2 s and 2 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10665 + -10569 - (26 + 1).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {z: 3, b: 2, u: 2, g: 2, l: 2, p: 8}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 89.\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = -0*v. Let q be (-4)\/(-12) - v\/3. Suppose c = 2*g - 7, 7*c - 3*c + 2*g + 18 = q. Let f(z) = z + 7. What is f(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*v**2*x - 92*v**2 - 6*x + 7 with respect to v.\nAnswer: -12*v*x - 184*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1287.26502*5\nAnswer: 6436.3251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from {p: 3, n: 3, i: 3, o: 1, b: 3, v: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 0, 19 - 4 = 5*k + m - 30. Suppose -5*d - 5*o = 5, 18 = 2*d - 2*o - o. Find the second derivative of 41*w + 20*w**d - 5*w + k*w wrt w.\nAnswer: 120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -15*j + 2. Let m be h(1). Suppose g - a - 108 = 0, 6*g - 201 = 4*g + 5*a. Let d = g - 563\/5. Which is smaller: d or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10*3*-5. Suppose 0*p - p = s. Let q be 32\/(-24)*p\/4. Solve -q*i + 16 = 2*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -296 + 296 + 5*a - 39*a + 34*a + 277*a**2.\nAnswer: 277*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 1. Suppose s = -3*u + 36, -y*s + 36 = 3*u - s. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12b89b + -1b6?\nAnswer: 12b6a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - 497*z - 108408. Calculate w(-164).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 144 by 144.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j - 4*j + j)*(1 - 1 + 1)*(4 + 0 - 2) to the form t + k*j and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -251*r**3 + 72036*r**2 + 291*r - 1082. Give i(287).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 524c (base 16) to base 8\nAnswer: 51114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*d + 320 = -29*d. Let g(u) = 44*u - 128*u + 43*u + d*u. Let q(a) be the second derivative of -41*a**4\/12 + a. Calculate q(g(v)).\nAnswer: -41*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3343 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: Collect the terms in l - 268214 + 268214.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 + 1. Let d be t(-1). Suppose -d*j = -2 - 7. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 261 and 276.14654.\nAnswer: 537.14654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -x**6\/24 - x**5\/10 + x**4\/8 + 2*x**3\/3 + 7*x**2\/8 + x\/2 + 10. Solve f(w) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*o - 10*o - 5*o**3 + (-o**3 + 3 - 3)*(0 + 1 + 0 + (1 - 3 + 3)*(0 - 2 + 1) + 3 + 4 - 5 + 2 - 2 + 3).\nAnswer: -10*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of m**3\/6 - 2*m. Let z = 2 + -1. What is the units digit of v(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1437434467.\nAnswer: 7, 79, 113, 23003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1)\/u)\/(u**(-2)*u) assuming u is positive.\nAnswer: 1\/u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -w**4 + 8*w**4 - 3*w**4 + (-w**3 + w**3 + 2*w**3)*(113 - 113 - 13*w) as h*w**3 + g*w + b + u*w**2 + q*w**4 and give q.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 377051 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000859 to five decimal places.\nAnswer: 0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 14204932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 4*n**2 - 3*n - 4. Let w be o(3). Let u be ((294\/w)\/(-3))\/1. Let y = -23 + u. Which is the third biggest value? (a) 5 (b) y (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 6*q**2 + 7*q + 10. Let n(i) = -3 - 4 - 4*i**2 + 666*i - 671*i. Calculate 5*b(h) + 7*n(h).\nAnswer: 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (20 + -21)\/((-2)\/7442). Suppose -3*x - 1060 = 3*y - q, 5*x + 4*y - 4437 = 0. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12016*t + 2760*t - 90922 - 900749 + 140119 = 0 for t.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/3 or -591.43?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/3)*x)**(1\/14)\/((x*x*x**(8\/3))\/x**(1\/7)))\/((x**2)**(2\/51)*(((x\/x**(1\/4))\/x)\/x)**(-6\/5)) assuming x is positive.\nAnswer: x**(-310\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168 + -166. Let h be (-8)\/(-36) + 789\/(-27). Let z = -29 - h. Solve 5*c - 6*c - 5*p = z, -18 = 4*c + j*p for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5*g = -1, 5*g = 5*a - 1 + 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 25454.376 months in centuries?\nAnswer: 21.21198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 4, 1\/12, -5\/20202?\nAnswer: -5\/20202","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-10 + 110 - 8) + -165 + 121\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventy-five halves of a gram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -278, 3, -4, -1, 4.\nAnswer: -278, -4, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-95 - (-5 - -1 - -1)) + 1939 + -1921\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4050*f + 2021*f - 5*a = -2020*f + 49, 2*a - 14 = 2*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of 2\/15*t**3 + 1\/525*t**7 + 0*t - 1\/60*t**6 - 7\/60*t**4 + 3\/50*t**5 - 4*t**2 + 0. Factor y(l).\nAnswer: 2*(l - 2)*(l - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, -12, -9.1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15392 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-119)\/(-14) + (-1)\/(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -119. Let b be (1 - -1) + (-5)\/5*x. Calculate the highest common divisor of b and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 14 + 4)*(3 - 2*h - 1 - 2*h) + (-1 - 2 + 4)*(2 - 2 + h) to the form l*h + y and give l.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 249654, 249656, 249658, 249660?\n\"Answer: 2*p + 249652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-72)\/48*3\/(1242\/8))\/(1\/(-9)).\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -543756*l**2 + 211968*l.\nAnswer: -1087512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(320) + sqrt(320)*-1*1 + (sqrt(320) - (sqrt(320) + -1))*6)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108986.\nAnswer: 2, 54493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2 (b) 12.7 (c) 1\/21 (d) 1 (e) 0.5 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15479450 divided by -2?\nAnswer: -7739725","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 9*v**2 + 2*v + 21. What is t(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17768*r**5 - 161*r**4 + 11787219*r.\nAnswer: -355360*r**3 - 1932*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 111?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -8*s + 3*s. Is 15 a factor of (30\/4)\/(s - (-71)\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309935407409 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1241*t - 60. Let q(l) = 44677*l - 2150. Give -6*q(g) + 215*v(g).\nAnswer: -1247*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24843185, 24843199, 24843221, 24843251, 24843289, 24843335?\nAnswer: 24843389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -1.5. Let p = 0.09 - 5.09. Put p, 2\/9, b in decreasing order.\nAnswer: b, 2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hzzfffzassfppszpp. What is prob of sequence sfps?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 389 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 35*p - 153. Give n(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6)*-4*(-36)\/132\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 135 divided by 2\nAnswer: 135\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -7. Let m(k) = -k**2 + 2*k + 6. Give m(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4 + 0*c - c + 0*c. Let k be z(-5). Let q = 6\/17 + -7\/68. Is q equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1640260 to the power of 1\/2, to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(-87*107\/(-2429649)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**5 + 5 - 5 - 243*s**3 + 243*s**3 + 25*s**4 + s**5 - s**5 - 1 + 1 + (0 + 0 - s)*(2*s**4 + 0*s**4 + 0*s**4).\nAnswer: -4*s**5 + 25*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -9467 divided by 6\nAnswer: -9467\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 271031 divided by -2?\nAnswer: -271031\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -4*q. Let k be t(-1). Let f(d) = 3*d - 1. Calculate the lowest common multiple of f(5) and k*-1*(-1)\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of -161 + 2*t**3 + 97*t**2 - 46*t**2 - 51*t**2. Let q(u) = -21*u. Determine i(q(c)).\nAnswer: 2646*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 25?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 - -11. Let w = r + 98. Let h = w + -53. Which is the biggest value? (a) -5 (b) h (c) -11 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11102 - -12?\nAnswer: 11121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 40101 + 134221?\nAnswer: 224322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -56 - -59. Suppose -5*k - 1694 = -0*k - m, -3*m - 1002 = i*k. Let c = -156 - k. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -6*q**2 + 42*q - 2. Let m be o(7). Let x(p) = 21*p**2 - 7*p - 6. What is the remainder when x(m) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 573 + -280. Let a = f + -293. Which is smaller: a or 2\/637?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u**2 - 4 + 1 - 3 - 6*u - 4*u**2. What is h(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 3, -728, 4, -277 in descending order.\nAnswer: 5, 4, 3, 0, -277, -728","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1023332 - 4?\nAnswer: -1023341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -178*x = -1714*x + 3072 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 254\/3 + -84. Let d be 4 - 55\/15 - 0. What is the nearest to 2\/3 in q, 0, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -134104 - -4?\nAnswer: -134100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 + 2*x - 19. Let v be d(-16). What is the greatest common divisor of v and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5976 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 2*t - 25. Let f(c) = -16*c**2 - 5*c + 15. Let g(y) = -3*y**2 - y + 3. Let v(p) = 2*f(p) - 10*g(p). Calculate h(v(n)).\nAnswer: 4*n**4 - 4*n**2 - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -85, -356, -897, -1798, -3149, -5040?\nAnswer: -7561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/2 + 1523*q + 18204 = 0. What is q?\nAnswer: -3034, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wpqeepepqxpxqpeppq. Give prob of picking 1 e, 1 q, and 1 x.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1846811 = 5*h + 3*n, 179*h - 175*h - n - 1477442 = 0. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 39455 and 140855.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-124*q**2 - 99*q**2 - 98*q**2)*(2 - 1 + 1 + (-2 + 1 + 0)*(1 - 2 - 1)).\nAnswer: -1284*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 923, 1521, 1769, 1667, 1215, 413?\n\"Answer: -175*r**2 + 1123*r - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njtnjtnn. What is prob of sequence nnjj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81533 is divided by 21.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -252 + 251. Put 1\/7, 3, -3, m in ascending order.\nAnswer: -3, m, 1\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 5) + (-4 - -4). Let n = 87 - 87.02. Put n, -3, z in increasing order.\nAnswer: z, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 1000 = -0*t. What is the greatest common divisor of t and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1107675407.\nAnswer: 14783, 74929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -8*b + b. Let u be ((-24)\/(-84))\/(2\/b). Calculate the highest common factor of u and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 15*j + 119 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -31*s. Let n(x) be the second derivative of -x**4\/12 + 23*x**2\/2 - 29*x. Let p(g) be the first derivative of n(g). Calculate p(t(h)).\nAnswer: 62*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-68)\/(-17)*(-19)\/(-190).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21686974*-0.05\nAnswer: -1084348.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 2472.78?\nAnswer: -9891.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 + -5. Let t = b + -16. Suppose -v + 4 = 3*v. Which is smaller: v or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 8, v: 1, z: 8}. Give prob of sequence ii.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1519182 and 84?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645707 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/4)\/(33\/(-1496)*-34).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 5*f + 36510, -36496 = f + 4*f - 2*d. Round f to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 - 2*u**3 + 7*u**2 + 2*u**4 - 5*u**2 - 2 as s*u + f*u**4 + y*u**2 + l + c*u**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 212421323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*2491\nAnswer: -1245.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 148, 171, 198, 235, 288, 363, 466?\n\"Answer: w**3 - 4*w**2 + 28*w + 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*a - 4709 = 0, 5*a - 7 + 2 = 0. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5\/7 - 117372*g**4\/7 - 1723782526*g**3\/7 - 51607777668*g**2\/7 + 1723782528*g\/7 + 51607895040\/7 = 0. Calculate g.\nAnswer: -29328, -30, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2073194239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+1108782.4338267\nAnswer: 1108782.8338267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 - 6*k**2 - 1. Let b be t(8). Suppose 6*n - b = -135. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18aa + 1?\nAnswer: 1900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/15*20\/(-16)*226\/12656.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by -26\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(8\/7)*((z**(4\/7)\/z)\/z*z)\/z)**(5\/4) assuming z is positive.\nAnswer: z**(-5\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 52 - 86. Let s(u) = u**2 - 3*u - 5. Let d be s(5). Let m be (-3)\/d + v\/(-90). Which is the second biggest value? (a) 0.1 (b) -0.4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2920117 to the nearest ten thousand.\nAnswer: -2920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 302 - 297. Which is the closest to 0? (a) g (b) 2 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 390.4881 kilometers to centimeters.\nAnswer: 39048810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 0*r**2 + 2*r + 1 + 5*r - 7 - r**2. Let c be p(5). Is ((-106)\/(-4))\/(c\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -946091976*c**2*k - 235048*c**2 + 992*c wrt k?\nAnswer: -946091976*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/6*-2*(-8)\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -20*s**3 - 6*s**2 - 10*s - 4. Let f be d(-4). Let u be (-2)\/(5\/(f\/8)). Let l = -30 - u. What are the prime factors of l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -37 - -119. Let r = -63 + n. Let q = -21 + r. Which is the nearest to 0? (a) 4 (b) q (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129311563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43339 + -1045392.\nAnswer: -1002053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5016 and 1320?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4649*q**2 + 23630*q + 9284*q**2 - 4640*q**2 - 27918845 = 0. What is q?\nAnswer: 2363","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1492 + 1496. Sort m, -1\/6, -2\/7, -0.3.\nAnswer: -0.3, -2\/7, -1\/6, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 573054594 to the nearest integer?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2506936.312 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 75517626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one tenth of a hour?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -12004 (base 10) in base 2?\nAnswer: -10111011100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 784675467?\nAnswer: 3, 73, 569, 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/379 in 3, 308, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (4 - 4 - 7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7800.3 + 7800. Which is the third biggest value? (a) k (b) -12\/73 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31064 and 352?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1331024 (base 5) to base 14\nAnswer: 9bb8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qggqqqqqqgqqgq. What is prob of picking 4 g?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 299.32 times -26?\nAnswer: -7782.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 1703 = 5*a, -567 = -c - 0*c + 2*a. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2337, 2336, 2333, 2328?\n\"Answer: -x**2 + 2*x + 2336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 + 4.1. Let k = o + -4. Let h = -0.2 - k. Sort 0.4, 0.2, h in decreasing order.\nAnswer: 0.4, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + s - 12 = 0. Suppose u - 4 = 5*x - 3, -s*u - 3*x = -27. Suppose 3*g + u = 27. Calculate the remainder when 18 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 1 - 32*b**2 - 2\/5*b**5 - 16*b**3 - 32*b - 4*b**4. Factor w(y).\nAnswer: -2*(y + 2)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -90? (a) -1\/10 (b) 12\/13 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -227523, -455186, -682849, -910512?\n\"Answer: -227663*p + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 94813253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-4)*(1 - 1). Let w(y) = -3*y**2 + d*y**2 + y**2. Let l(x) be the third derivative of -7*x**5\/60 + x**2. Calculate w(l(r)).\nAnswer: -98*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/20 + (95\/(-4))\/(-5). Suppose g*b + 0*b + 2*u - 2614 = 0, -5*b + 3274 = -4*u. What are the prime factors of b?\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22992613 to the power of 1\/2, to the nearest integer?\nAnswer: 4795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -463288, -926575, -1389862?\nAnswer: -1853149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - ((2 - -4) + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.09 - 12. Let h = n - -0.17. What is h rounded to one dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 9*k - 0*k - 16. Sort 5, k, 3, 1 in ascending order.\nAnswer: 1, k, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 438 and 50640?\nAnswer: 3696720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 0)\/1 - -8. Let k = -4 + b. Suppose -f - 6 = 2*v + f, 5*v = 5*f + 35. Solve 17 - v = k*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/((-10)\/(-2)) + -27. Let n = 36 + x. Let l = 10 - n. What is l rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 386.185508 and 279.2?\nAnswer: 106.985508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -157144 - 37552?\nAnswer: -216716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 22818 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48900 = 1921*o + 4405*o - 505114 + 26046 for o.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12966101.\nAnswer: 12966101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*b**6 - 9*b**5 - 229*b**2 + 1.\nAnswer: 1080*b**3 - 540*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -2. Calculate the remainder when (18 - (0 + 1)) + 1 + -4 is divided by f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 16 - -100?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13033306 and 26659035.\nAnswer: 586498770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2857 + -2809. Solve 4*y - 20*y = s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 366323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 169\/(-15) + 9 + 22\/(-5)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*a = a - 89363, 0 = 2*g + a - 59582. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -815 and 0.0316813.\nAnswer: -25.8202595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and 147960.\nAnswer: -591840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 3*q = 27, 3*v - 3*q - 11 = 7. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5040)\/8820 - (-5)\/((-70)\/468).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 110015?\nAnswer: -110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2586, -5171, -7756, -10341, -12926?\nAnswer: -15511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 618 minutes after 7:03 AM?\nAnswer: 5:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176.4515 milligrams to kilograms.\nAnswer: 0.0001764515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -551.48 - -549. Let f = 2.18 + x. What is the third smallest value in 0.24, 1\/9, 0.13, f?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-68 + 12 + 13)*(-x**4 + 5*x**4 + 2*x**4).\nAnswer: -258*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -77 - -63. Let z be (-24)\/f - 2 - (-64)\/28. Factor o**z - 3*o + 9*o + 5 + 4.\nAnswer: (o + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15173, -30624, -46109, -61628, -77181, -92768, -108389?\nAnswer: -124044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the second derivative of 1\/12*f**4 + 0*f**2 - 1\/6*f**3 + 2*f + 0. Find the second derivative of t(g) wrt g.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 9 = 3*o. Let a be -3 - (12\/o + -4). Solve -5*m - 1 = 5*p + 19, -a*m - 15 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104200 and 314450.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/(-28)*(-14)\/(-3). Let u(i) = i**3 - 4*i**2 - i + 4. Let r be u(q). Suppose 10 = -r*p + p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x + 11. Suppose -5*h = 6 + 9. Let j(r) = -2*r - 11. Let w(g) = h*j(g) - 4*l(g). Let q(c) = -c**2 - 3*c + 62. Let b be q(-9). Determine w(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -621*j - 1713. Calculate o(-3).\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13945 is divided by 171?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 55753984?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3606?\nAnswer: 2, 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 564 = 14*v - 500. Is 74 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2764*((-30)\/(-24) + -1). Let a = o - -1254. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7.84 - 0.16. Let p = -14 - i. Let l = p - -5.996. Round l to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -59 - -51. Let x = -1 + -4. Is (-1676)\/w + x\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 - 42. Let v = 21 + r. Solve v*j - 5*j - 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27650 - 1.27241.\nAnswer: -27651.27241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 576 divided by -2?\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -8. Let y be u + 10 + 4\/(-2). Suppose -19 = 5*a - 2*t, -3*a - 3*t - 4 = -4*a. Sort a, -1, y in ascending order.\nAnswer: a, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -2*i**2 + 181*i - 1922. Calculate z(78).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (332\/913)\/((-24)\/(-18))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42605723?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, f: 3, h: 2, a: 1, v: 2, q: 3}. What is prob of sequence fvqf?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1*0.0213116\nAnswer: -0.0213116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/2)\/g*(g*g**(1\/6))\/g)\/((g**(1\/5)\/g)\/g**(-2\/5)))**(4\/13) assuming g is positive.\nAnswer: g**(64\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 501077 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11797660261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of -m**3\/6 + 23*m. Let d(s) = 2*s**2 - 4*s**2 + s**2. What is d(g(r))?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-13)\/f**12)**40 assuming f is positive.\nAnswer: f**(-1000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 5*s + 9, 31*o + 2*s + 4 = 30*o. Let -20 + 11 + 2*t**o + 21 + 2*t + 8*t = 0. Calculate t.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 90, 5, -148, -369, -658?\nAnswer: -1015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -5*a**2 + 9*a**2 + 0*a - 3*a**2 - 1 - a + 2*a**3. What is the remainder when b(3) is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z**3 + 17*z**2 - 470*z - 187. Give p(-20).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -6*j + 6. Let u be 3\/(j - 85\/25). Suppose 3*w = 9, u*t - 2*w - 288 = 2*w. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + z**2 + 6 - 13 - 81*z + 2*z**2 to the form h*z**2 + t*z + x and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31725, 32930, 34947, 37782, 41441, 45930, 51255, 57422?\n\"Answer: b**3 + 400*b**2 - 2*b + 31326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/(-3)*(-1)\/(9\/(-21)). Suppose -5*x + 4*g - u + 34 = 0, 5*x + 2*g = 9. What is the smallest common multiple of x and 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/10, -1, 29731 in increasing order.\nAnswer: -1, 3\/10, 29731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 2*a - 192. Let i be (-21)\/(-6)*a\/28. Suppose 4*p + 18 = 3*h, -4*p = -h + i - 0. Solve 0 = h*n - 2*n + 8 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-3)*(-2 + 23). Suppose 4*s - q - a = 0, -3*s - q + 5 = -2. Suppose 106775 = -29*r + 106891. Solve 6*l = s*l + r, -3*w + l = 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06 + 0.06. Let q = 0 - -0.5. Let r = q - 4.5. Which is the closest to i? (a) r (b) 0.5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 + 17*o**2 - 17*o + 16. Let l be c(16). Solve 0*g + 2*g + 4 = l for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of -147*k**4\/4 + 868*k**3 - 5766*k**2 + 412. Factor p(o).\nAnswer: -3*o*(7*o - 62)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*n, -3*n + 6 + 5 = q. What is the remainder when ((-9)\/q)\/(7\/196) is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.05308 - 0.07852. Let d = g - 27.8602. Let y = -33 - d. Round y to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1410*(1 + (-5 - -1) - (-11)\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -44*y + 3. Is d(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 0. Suppose -58 = -47*f - 246. Put f, 3, p, 0 in ascending order.\nAnswer: f, 0, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 3*s = 5*j, 4*j = -s - 17. Let c(l) = 3*l - 7 - 4*l + 6. Determine c(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 2*t**2 + 3*t - 4. Let k(f) = -f**2 + f + 3. Let p be k(3). What are the prime factors of j(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the third derivative of -k**4\/8 - 9*k**3\/2 + 12*k**2. Let c be x(-10). Solve -4*b + c = -9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2631545 (base 12) to base 11.\nAnswer: 4283174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 48 + -31. Sort 3, a, -2 in decreasing order.\nAnswer: a, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 981\/17 in 2, -4, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 6 = -0*r. Suppose -13*s = -4*s. Find m, given that -m**2 + 1\/2*m + 1\/2*m**r + s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-3\/4)*(x**12\/x)\/x*x**(9\/4)*x*x**(-2\/21) assuming x is positive.\nAnswer: x**(521\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -2 (b) 69 (c) 5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8512, 39775, 91878, 164821, 258604, 373227, 508690?\nAnswer: 664993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + l - 3*y = -13, 0 = -l + 3*y - 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ua when two letters picked without replacement from {z: 4, o: 1, u: 9, a: 2}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -51*b**5\/5 - b**4\/12 + 3689*b**3\/6 - 4403*b. What is the second derivative of a(d) wrt d?\nAnswer: -1224*d - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/153)\/(10\/3*2\/4).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8299535?\nAnswer: 5, 53, 31319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 812\/(-1827) - 93\/(-27).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 19*z - 20. Is i(-18) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*4)**2*-1 + sqrt(132)\/(sqrt(72)\/sqrt(24)).\nAnswer: -17600 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 44*d**4\/3 + 95*d**3\/6 + 110*d**2 - 1. Differentiate y(k) wrt k.\nAnswer: 352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1713 + -834. Which is the second smallest value? (a) -5 (b) -3\/2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*v = 51, 28 = -173*w + 171*w - 2*v for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -120566 - 6223?\nAnswer: -130122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 35. Solve m*h = -4*r + 12, -r + 1 = -4*h - 2 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2541100 and 34300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the third derivative of g**4\/24 + 2*g**3\/3 - 5*g**2. Let q be i(-4). Let o(v) = -v**2 + 11. Calculate the remainder when 41 is divided by o(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3835938 or 3835912?\nAnswer: 3835938","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 132 = 2*c, -220 = -5*c + 3*b + 68. What is the remainder when 596 is divided by c?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 4181612 and 4181613 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1132628*g + 1132628*g - 692*g**3.\nAnswer: -692*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 + 5*r - 3. Suppose v - 8 = q, 3*v = -4*q + 3*q. Let h be a(q). Determine y, given that h + 3\/2*y**2 - 9\/2*y = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -1)*(-1 + 10). Let l(a) = -a**2 - 8*a + 9. Let w be l(v). Suppose -n + 5*n - 236 = w. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 3*i + 23, w = -3*i + 2*i - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9433499 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**3 - 40*d**2 - 9. Let r be l(-40). Let g be ((-27)\/6)\/r + (-3)\/(-2). Solve 9*t = g*t + 7 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 554143?\nAnswer: 554142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2 + 318534*w\/5 + 127416\/5.\nAnswer: -3*(w - 21236)*(5*w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/105)\/(389\/(-157545))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 885043 is divided by 3052?\nAnswer: 3015","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**8\/57120 + n**7\/21420 - n**6\/3060 + n**4\/12 - 6*n**2. Let j(m) be the second derivative of d(m). Factor j(l).\nAnswer: 2*l*(l - 1)*(l + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/(-495))\/((-784)\/2058).\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 - 20*j + 24. Let m be w(16). Let f be 9\/45 + (-2)\/m. Which is the biggest value? (a) -3\/4 (b) f (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 y when three letters picked without replacement from yhyyyyyyhyhyyyyhyyh?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 4*b**2 + 4*b + 3. Let i(q) = 2*q**3 + q**2 + q + 4. Let z(v) = -3*v**3 - 2*v**2 - 2*v - 7. Let g(j) = -5*i(j) - 3*z(j). Calculate -3*g(k) + y(k).\nAnswer: 3*k**3 + k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-232)\/(-60) + -4 - 5666864\/(-105). Suppose 0 = -22*m + 29*m - o. What is m rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.5255 + 0.636. Let l = y + 27.889. Let g = l - 27. Round g to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.01 and 685768694.\nAnswer: 685768693.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 7*i**3 + 2*i**2 - 1 + 4*i - 7*i**2 + 3*i**2. Let a(v) = -v**3 + v**2 - v. Give 4*a(g) + h(g).\nAnswer: 3*g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*l**2 + 7*l - 7*l)*(6*l + 2*l - 2*l) + 0*l**3 - l**3 + 0*l**3 - 3*l**3 + 8*l**3 - l**3 to the form u*l**2 + p + s*l + h*l**3 and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 35 = -0*v. Let h be 8\/(-28) + (-96)\/v. Let j be (-26)\/h + (-11)\/(-77). Solve -3*m = -2*c - 13, j*m - 3*m + 6 = -c for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1011 (base 2) in base 15?\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 5364?\nAnswer: -1609.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1110000100110100 (base 2) to base 3\nAnswer: 2221002021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13975.1 + -13975. Let i = 1.1 + -0.1. Let m = 1.5 - i. Sort m, -4\/3, q in descending order.\nAnswer: m, q, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3846*g + 62*g**4 - 8*g**4 + 3846*g)*(2*g - 20*g + 1 - 2*g).\nAnswer: -1080*g**5 + 54*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1515 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 9:05 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 7*x + 3 - 76 - 9*x + 2*x as o + u*x and give o.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32945?\nAnswer: 5, 11, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-295)\/(-1003)*(6\/5)\/3. Which is smaller: 29 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4 - 1.3817. What is f rounded to 3 decimal places?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (22\/4)\/((-10)\/20). Let o = 100 - m. What is the remainder when o is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 1884*c + 3787. Give s(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 3 + (20 - 18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 8, g: 1, v: 4}. Give prob of sequence wwvv.\nAnswer: 28\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 - 2*f**5 + 3*f**5 + (1 - 2*f**3 - 1)*(-35*f**2 - 4*f**2 - 26*f**2) + 4*f**5 + f**3 - f**3.\nAnswer: 133*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2. Let b = 1 - 2. Let s(f) = -f + 1. Let t be s(b). Let l(i) = 2*i**2 - 3*i**t + 3*i**2. What is w(l(n))?\nAnswer: 4*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -643137, -643120, -643091, -643050?\nAnswer: -642997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1145? (a) -0.3 (b) 0.3 (c) -27 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -647.06 to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 0 - (-3 + (0 - -2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-5)*10\/(-9). Let l = 4.7 + -4.9. Which is the nearest to -0.1? (a) x (b) l (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = 11*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a5b3 - -1?\nAnswer: -a5b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-13 + 7 + 6)) + 39 + -32\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1\/3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 2*u**3\/15 + 14*u**2 + 490*u + 35. Suppose w(f) = 0. Calculate f.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 6*m + 8. Let w be i(5). Solve -5*g - 16 = -t + 3*t, -w*t - 4*g = 17 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*m = -s + 42 + 6, 6 = -3*s + 5*m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, u: 1, b: 11, j: 1, a: 4, g: 1}. Give prob of picking 1 a, 1 u, and 1 r.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -235 times 24496\nAnswer: -5756560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 - 4. Let v be s*6*50\/(-4). Let u = 474 + -444. Calculate the highest common factor of v and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.37807093 + 1.378. What is w rounded to 6 dps?\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2+-349.85967\nAnswer: -350.05967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1494886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 33, 133, 353, 753, 1393, 2333, 3633, 5353?\n\"Answer: 10*v**3 + 30*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 13060 = -10980. Round v to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112364361.8 rounded to the nearest ten thousand?\nAnswer: 112360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 15 = -d, -25*u + 30*u - 5*d = 15 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1685053649?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 659274 divided by -8562\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000158583 to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -244*b = -248*b + 132. What is the remainder when 48 is divided by b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 11*u - 17. Let s be p(2). Let b be ((-21)\/(-140)*s)\/((-6)\/(-32)). Solve i - 4*f = b, 4*i = -f + 7 + 9 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 12:39 AM?\nAnswer: 8:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -223929.\nAnswer: -895716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -91\/4? (a) 0.6 (b) -1\/5 (c) 1\/4 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*i = 90*i + 320. Sort 11, 3, -3, i, 4 in descending order.\nAnswer: 11, i, 4, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**4 + n**4 - n**4)*(-3 + n + 3) + n**5 + 0 + 0 - 32241*n + 32241*n + 4721*n**5.\nAnswer: 4720*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3 + 5 - -3) + 1 - 11) + -9.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1726 - -2417. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + (-4 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 1 - 3) + -829 + 838.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*j + 25 = -p, -2*j - 5 = -32398*p + 32399*p for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3220?\nAnswer: 2, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*c + 2*c - 2*c**2 + (4 + 2*c - 4)*(4*c + c - 2*c) + 158*c**2 - 243*c**2 - 430*c**2 + (-c - c + 4*c)*(1 + c - 1).\nAnswer: -509*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one quarters of a litre in millilitres?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 6 - 6 = 0. Let k(a) = a**3 - 2*a**2 + 2*a - 6. Is k(w) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220.5*1.\nAnswer: 220.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 15*v**2 + 3*v - 2. Let z be n(2). Suppose z = 6*w - 2*w. Calculate the least common multiple of 6 and ((-108)\/w)\/(3\/(-8)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 38\/(-14 - 446\/(-32)). Put u, 5, 4 in decreasing order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.1484644 meters?\nAnswer: 148464400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430 is divided by 66.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.78 - 2. Let k = z - 1.18. Let p = k + 5.4. What is the biggest value in 0.5, -2\/9, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142347.\nAnswer: 3, 23, 2063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 + -22 + 13 + 47?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 4*v + 14, -2*v = -4*n - v - 4. Let d be (-64)\/12 - (-4 - 0). Let m be 6\/(-21)*280\/200. What is the smallest value in 2, d, m, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*i - 12 = -57*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 - 2. Let q(s) = 1. Determine 4*a(u) + 8*q(u).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43\/4*d**2 + 45\/4*d**3 + 0 - 1\/4*d**5 + 43\/4*d**4 - 11*d = 0 for d.\nAnswer: -1, 0, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1801592*i**5 + 864677*i**2 wrt i?\nAnswer: -108095520*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-1 + 0) - -1. Let a be 23\/b + 1\/(-2). Let r(f) = 2*f - 10. What are the prime factors of r(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 5 = -4, -a = -3*g + 12. Let b(n) = 0*n + 26 - g*n - 31 + n**2. Let s be b(5). Calculate the greatest common divisor of 1 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*37\/851 + (-390)\/(-115)*-13\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 35 = 5*p, -11 = -5*c + 3*p - 4*p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 765689 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-33)\/3 + 23)\/3. Solve 2*w + 19 = -3*t + 29, -k*t - 2*w = -12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - -31 - (1 + -3). Suppose x*v - 33*v = -656. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804619618 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(891) + -4)*-6*4 + 3.\nAnswer: -240*sqrt(11) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b - 15. Let l be i(6). Let h = -4 - -6. Sort l, 5, h in ascending order.\nAnswer: l, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (4\/28 - (-128)\/(-14)). Let n = c + 88. List the prime factors of n.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639521.1 microseconds in nanoseconds?\nAnswer: 639521100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137 is divided by 81?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 39 = 29*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-6))\/((-23)\/69).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/23)\/r**(3\/20) assuming r is positive.\nAnswer: r**(-109\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*j + 32*j**2 + 88 + 88 + 85 - 261 as f*j**2 + l*j + d and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -54389.\nAnswer: 163167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 388977 and 77322.\nAnswer: 38119746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4, 3*v - 5*s - 4693 = -s. Is v a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2. Let n(h) = 973826*h. Determine r(n(l)).\nAnswer: -948337078276*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 42*((145\/870)\/(2\/54) + (-2 - 1)). Let h be 1\/(-1) + (74 - 1). What is the greatest common divisor of h and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10001111000100011100111 (base 2) in base 5?\nAnswer: 2200004403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.57338 litres in millilitres?\nAnswer: 51573.38","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.02 - 0.48. Let j = 0 - g. What is the third biggest value in -1, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 307 - 54. Suppose -4*v = -3*f + 178, 5*f + 3 = -5*v + q. 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 v = -1245\/8 - -23679\/152. Sort 1\/5, 1\/4, 1\/3, -4, v.\nAnswer: -4, v, 1\/5, 1\/4, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185*p + 93*p + 5*v = -90*p + 18, -83 + 29 = 6*p + 13*v for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 5*n - 9, 3*t - 4*n + 36 = 7*t. Suppose 3*z - 4*o - 834 = z, -t*o = -z + 409. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((39\/26)\/(-1))\/((-1)\/186). Let w be ((-1)\/((-2)\/417))\/(78\/104). Do u and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77\/15 + 29\/5. Put i, -1\/4, 30, 0.2 in ascending order.\nAnswer: -1\/4, 0.2, i, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 610 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(2\/(-19))*1. Let u = s - -19. Solve u + 20 = -5*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of h**5\/15 - h**4\/12 + h**3\/2 + h**2. Let o be r(1). Let z(a) = -3 + 3*a**2 + o - 2. Let g(y) = -5*y**2. What is z(g(l))?\nAnswer: 75*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -192*n + 7936. Determine u(44).\nAnswer: -512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1659954516 a multiple of 1009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(2\/(-3))\/((-14)\/(-21)). What is the closest to s in -5, -2, 41?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -7*c**2 + 9*c - 4. Let m(t) be the second derivative of -5*t**4\/6 + 13*t**3\/6 - 3*t**2 - t. Let x = -181 + 176. Calculate x*m(o) + 7*h(o).\nAnswer: o**2 - 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4248 - -8495\/2. Let z = -79.3 + 79. Which is the fourth biggest value? (a) -2 (b) t (c) z (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15862*5\nAnswer: 79310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of 1\/12*l**4 - l**2 + 3 - 4\/3*l**3 + 0*l. Let z(q) = 1. Determine t(f) + 5*z(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.04 + -0.24. Let i = -0.152 + 5.112. Let l = 0.04 + i. Put l, z, -2\/11 in increasing order.\nAnswer: z, -2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 126 (b) -2 (c) 0.6 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.1 (b) 492132 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-1)\/18*4\/6.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 57\/5 of a centimeter?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 195 + -192. Let y(n) = -n**2 - 5*n + 6. Let c be y(-6). Suppose 0 = 3*z - 5 - 4, -5*z = x - 12. Put c, x, p in descending order.\nAnswer: p, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2 - 11*b + 28. Let s be h(8). What is the second derivative of -35*y**s - 58*y**4 + 0 - 2*y - 4 wrt y?\nAnswer: -1116*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -2736 in increasing order.\nAnswer: -2736, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/5 of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1743*w + 0 + 0 - 444*w - w**3 - 19*w**4 + 275*w wrt w.\nAnswer: -228*w**2 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-39)\/(-26) - (-22)\/12. Which is the closest to -1\/2? (a) y (b) 20.1 (c) 0.3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 112444 + 3042?\nAnswer: 121041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1247*j = 1240*j - 42 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 16785.063 months?\nAnswer: 13.9875525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*g - 50*g**4 - 4*g - 9 - 13 wrt g?\nAnswer: -600*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*v + 3*a = -28*v + 8*a - 60, -12 = 3*v - a for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 542 - 541.77. Is p bigger than 2.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 482.007488 - 482. What is h rounded to 4 dps?\nAnswer: 0.0075","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -182 - 3454?\nAnswer: -3636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l + 32 = 37*l. What is the third derivative of -19*r**6 - 3*r**4 - 1342*r**2 + 1394*r**2 + l*r**4 wrt r?\nAnswer: -2280*r**3 - 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1242 a factor of 145467687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 30708?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5*(sqrt(320) + 4 + 1 + 4)*-3)*1.\nAnswer: 136 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26947 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -7*o + 70. Let m be x(5). Does 52 divide -2*7\/m*-620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-7) - 172\/(-14). Suppose -8 = -3*k - k. Solve 3*u + u = -w, 0 = -3*y - k*u - 12 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2662 and 2216962?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*y - 59*y - 5*m = 29*y + 156, 3*y + 4*m + 12 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d - 29. Calculate w(-15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/i**(1\/6)))**(-19\/3)\/(i**12*i*i\/(i\/(i*i**(2\/7)*i*i))))**(1\/17) assuming i is positive.\nAnswer: i**(-2185\/2142)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.1 (b) -33 (c) -173 (d) 0.2 (e) 6 (f) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11828*d - 13162*d = -88044 for d.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 + 12*f**2 + 23154*f - 138961. Give l(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 19.819 * 0.3.\nAnswer: 5.9457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -7. Let c(b) = b**3 - 6*b**2 - 4*b - 7. Let t be c(x). Let u = 158 + t. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25339 (base 11) in base 15?\nAnswer: ab7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8254776 + -10?\nAnswer: 8254766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 3026 = -2*v + w, -4*w - 2440 = -4*v. Suppose 0 = -3*s + v + 342. List the prime factors of s.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*o - o + 1 + 2*o - 174*o**2 + 176*o**2 in the form k*o + d*o**2 + t and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -0.5 (b) 3\/2 (c) -7\/311 (d) 0 (e) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_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: Let t = -720 - -731. Let n(q) = -15*q**2 - 17 - 17*q + 17 + 11. Let z(c) = 5*c**2 + 6*c - 4. Determine t*z(l) + 4*n(l).\nAnswer: -5*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, r: 3}. What is prob of picking 4 n?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5251453*f**2*j**2*q + 19*f**2*j - 9*f**2*q + 18*f**2 + 11*f - 35*q + 3 wrt j?\nAnswer: -10502906*f**2*j*q + 19*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 5. Let q(f) = -f**3 - 4*f**2 + f + 3. Let x be q(-4). Let b = x - -58. Calculate the remainder when b is divided by m(10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 5*z**2 - 5*z - 2. Let l be u(-4). Let q = l + -61. What is the remainder when q is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*c**3 - 63*c**3 + 38*c**3.\nAnswer: 22*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.16 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 22\/(-33)*81\/(-2). Let v be 7 + -11 + p*1. Suppose 7*i + 240 = v*i. What is the remainder when i is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = o - 0*o. Which is greater: 4 or o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -92785 and -93608 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -15*d. Let a(l) = 31*l + 12. Give a(s(r)).\nAnswer: -465*r + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 48.9 (b) 2\/41 (c) 1\/4 (d) -2\/4847\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 - 222420402?\nAnswer: -222420413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of -n**6\/180 + 2*n**5\/5 - 11*n**4\/4 + 2*n**2 - 219*n. Factor u(l).\nAnswer: -2*l*(l - 33)*(l - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4179 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 8985\nAnswer: -8980","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dbdbd. Give prob of sequence ddbd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 4 = -3*q, 323 = 2*g + q. Let v be g + 3 + (-3 - 1). Calculate the remainder when 33 is divided by (-2)\/(-8) - v\/(-28).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 360802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -15748, -2\/23, -6, -4\/5, -1?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 608 is divided by 82?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 452415 + 20215?\nAnswer: 513034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 30108257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 6272?\nAnswer: -3\/6272","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 4*b - 45, -6 = 2*s - 2*b - 26. Solve s*w - w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2421400 is divided by 159.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-66620)\/(2 - 6)*1450. Suppose 3*q - 73782506 = -l. Let j = q + -10944252. What is j rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8279?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0.7. Let d be 1 + 2\/(-13)*-1626. Let s = -251 + d. Sort p, -2, s in descending order.\nAnswer: p, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 152010 and 432675.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5675571444 + -1.7?\nAnswer: -5675571445.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -118935, -118932, -118935, -118944?\n\"Answer: -3*b**2 + 12*b - 118944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 5. Let w = -27 - m. Let c be 4 + w*3\/6. Solve 2*x = 4*o + c, 3*x = -4*o + 2*o - 5 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 473807?\nAnswer: 17, 47, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + 13*a**2 + 4. Let q be m(-13). Suppose -q*b + 2 = -3*b. Calculate the highest common factor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 440427558?\nAnswer: 2, 3, 73404593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -31 (b) 37\/3 (c) -5\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 61.8 - 62. Let c = 1415\/9 - 157. Let m be 5\/(-24) + 12\/36. What is the nearest to r in 1, c, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 1631?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/13)\/(q*q**26)*((q*q**(-23))\/q)\/q**(-42) assuming q is positive.\nAnswer: q**(-106\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -14*l + 8*l + 7*l + l + 0*l. Let w(n) = -392*n + 49. Let i(x) = -49*x + 6. Let c = -19 - -13. Let d(s) = c*w(s) + 49*i(s). Give b(d(r)).\nAnswer: -98*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 88157482 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m + 4. Let n be q(3). Let s(c) = 5*c + 10. Let b(a) = 5*a + 11. Let l(x) = 4*b(x) - 3*s(x). Let k be l(-2). Sort -4, k, n.\nAnswer: -4, n, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1856152 divided by 464038?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l. Let g(o) = -5*o - 6. Let h(r) = 8*r + 1. Let x(a) = g(a) + 2*h(a). What is x(w(m))?\nAnswer: 22*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 25 = -20*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3007*s + 86644 = 5252*s - 978*s - 37133 for s.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/((-1)\/(-8)). Suppose 11 = 2*j - 9. Suppose 4*f + 3*t = -2*t - 17, 2*t = -j. Sort f, 1, l.\nAnswer: l, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3860)\/(-55) + 4\/(-22). Suppose 4*r - 3*b - z = -7, -3*r + 4*b + 42 = 0. Is r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 51 + 5*g**2 + 26 - 37 + 16*g + 72. Is b(-21) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-15)\/(1\/(-4 - -3)). Let r = q + -12. Solve -4*m + r*m = -2*d - 13, -2*m + 3*d + 22 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 528.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96982, 193973, 290976, 387997, 485042, 582117, 679228, 776381?\nAnswer: 873582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**3 - 5*f + 2. Let s(z) = 5*z**3 + z**2 - 5*z + 2. Let t(c) = 3*s(c) - 4*u(c). Let i be t(5). Let m = 38 + i. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1581*t - 200135 = -1498*t for t.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 1126778?\nAnswer: 7887446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 2a76?\nAnswer: -2a77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.8 - -4.4. Which is the biggest value? (a) 0.2 (b) h (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -325\/7 - -46. Let u = -2474 + 9887\/4. Put u, r, 2\/15 in descending order.\nAnswer: 2\/15, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -9. Let l = 28 + -20. Suppose -s - 3*s + l = 0. Which is the third smallest value? (a) s (b) w (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s - 2. Let t be y(-2). Let q(k) = 3*k**2 + 5*k - 1. Does 7 divide q(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 6:22 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + -5. Let z be (-4)\/(-176) + (-56159)\/27764. Put z, w, -12 in increasing order.\nAnswer: -12, z, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2322 - -134. What are the prime factors of h?\nAnswer: 2, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 4*j**2 - 2*j + 1. Let a be c(-9). Let d = -376 - a. Solve -2*y - 2 = h, -4*h - y - y = -d for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -55.64 - -47. Let k = 8 + y. Let v = 1.17 + k. What is v rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/3 of a hour in seconds?\nAnswer: 34800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 365 and -12720210706?\nAnswer: 12720211071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 108*b - 37*b**2 - 108*b + (6*b - 2*b - 2*b)*(2*b + 0 + 0) + b**2 + 4*b**2 - 6*b**2 - b**2 + b**2 + 2*b**2 to l + f*b**2 + y*b and give f.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-18*m + 23*m - 45*m)*(18 + 8 - 33) - 8 + 8 + 5*m)*(3 - 1 + 1)*(-2 + 2 + 1).\nAnswer: 855*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4\/(-14) + 117530\/98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 1\/3*b**6 + 0*b**5 + 0*b + 0*b**4 - 3\/2*b**2 + 0*b**3 + 14. What is the second derivative of n(f) wrt f?\nAnswer: 40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) 5731 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -210 - 20. Let c be j\/(-736)*(11 - (1 + 0)). Suppose -5\/4*s + c + 1\/8*s**2 = 0. Calculate s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.074 and -17.\nAnswer: 1.258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -119866317 and -0.08983?\nAnswer: 119866316.91017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121*z = 124*z. Suppose -2*o + 3*a - 7*a - 18 = z, -5*a - 25 = 0. Suppose y + n + o = 0, -y + 3*n + 2*n + 17 = 0. Solve s + 6 - y = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of -32*f**4\/3 + f**3\/2 + 59*f**2\/2 - f - 134. Find the second derivative of o(n) wrt n.\nAnswer: -256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3\/13 + 556*g**2\/13 - 3778*g\/13 - 4336\/13 = 0.\nAnswer: -1, 8, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of (-75)\/(-90) - 43\/(-6) and 88.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97119165?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 232339?\nAnswer: 23233a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -12*z**5 + 2*z**4 + 2*z**3 + z**2 + 2*z - 2. Let d(x) = -x**4 - x**3 - x + 1. Let b(i) = 2*d(i) + o(i). Find the third derivative of b(c) wrt c.\nAnswer: -720*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 944 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52587, 52586, 52585, 52584, 52583?\nAnswer: 52582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -32, -82, -132, -182?\n\"Answer: -50*b + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 153 times 1.298\nAnswer: 198.594","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -6*s. Let x be (22\/3)\/(26\/39) + 0. Let r(w) = 6 + x - w**2 - 17. Calculate r(c(o)).\nAnswer: -36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 6 = a - 5, m = -3*a - 10 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, y: 2, i: 4}. What is prob of sequence iijy?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*r - 96, 4*r + 5*t = r + 154. Let n = r - 38. Let z(a) = -2*a - 58. Let u be z(-31). Solve 12 = -4*b + n*y - 0*y, 0 = u*b + y + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -2 + 8 + -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -204.42821938 + -0.0623\nAnswer: -204.49051938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -635.3 minus -4343.8?\nAnswer: 3708.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -0*r - 2*d + 62, 0 = -r + 3*d + 87. List the prime factors of 97\/2 - (-4 - r\/(-16)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m - 61 = -34. Let z(g) = 13*g - 6. Let c(u) = -u + 1. Let k(a) = 2*c(a) - z(a). Is k(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1078*r**3*t - 58*r*t**2 + t**2 - 18*t - 380 with respect to r.\nAnswer: -3234*r**2*t - 58*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -873.810987 - -4?\nAnswer: -869.810987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 554421?\nAnswer: 3, 7, 17, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 20 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -193\/119745912 and -43\/631072?\nAnswer: 478983648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + (sqrt(117) + 3 - sqrt(117))*6)**2 + sqrt(117).\nAnswer: 111*sqrt(13) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 10:58 PM?\nAnswer: 4:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 38.45.\nAnswer: -76.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9554 + 9594. Suppose 720 - 2480 = -4*s. What is the highest common factor of s and z?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 38 + -22. Let r be h\/6*9\/108. Let t = 6.3 + -1.3. What is the second biggest value in t, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 325024 and 325024 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 1.5.\nAnswer: 16.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of 3*o**5\/5 + o**4\/12 - o**3\/6 - 3*o. Let z be k(2). What is the highest common divisor of z and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 884 - 886. Which is the nearest to u? (a) -4 (b) -0.03 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i\/(i\/(i\/(i*i**(-9)*i)))*i\/i**(-4\/3))\/(i\/(i*i*i**(-2)*i))**(2\/19))**0 assuming i is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 17 - 8 = 0, -4*z = 2*o - 50. What is the first derivative of -26*k - 28*k + 20*k - z - 13 wrt k?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 3*v - v)*(1 - 2*v - 1) - v**2 + v + 9*v**2 + 5 - 6*v**2.\nAnswer: -2*v**2 + v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l**4 + 3*l**4 - l**4)*(3 - 2 - 3) - l**4 - 3*l**2 + 3*l**2 + (2*l - 898*l**2 + 30 + 898*l**2 - 3*l**3)*(6 + 7*l - 6).\nAnswer: -20*l**4 + 14*l**2 + 210*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*k**2 + 53 + 14*k**3 - 64 - 24*k + 27 + 6*k**4.\nAnswer: 2*(k - 1)*(k + 2)**2*(3*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5285914 divided by 2462.\nAnswer: -2147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**3 + 3*k**3 - 3*k**3)*(2*k**2 + 0*k**2 - 28248 + 27987).\nAnswer: -8*k**5 + 1044*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 256291894?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a microsecond in nanoseconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-25)\/(-3))\/((8\/(-30))\/(-4)). Suppose 281 = 7*y - n. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 11*i - 51. Let q be v(6). Suppose -5*l - 2*m + 48353 = 0, -q*l + 3*m + 48358 = -10*l. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3222114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 - 13*g + 2. Let b be 3\/(-6)*9*2. Let m be o(b). Let u be -1 + (0 + 58)*1. What is the highest common divisor of m and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - 2*v + 7723, -v = -5*x + x + 6168. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1350*h*s - 1180175*h + 4284*s - 10 wrt s.\nAnswer: 1350*h + 4284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3\/5 + 5296*b**2\/5 - 4*b\/5 - 5296\/5.\nAnswer: 4*(b - 1)*(b + 1)*(b + 1324)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1329 and 3267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(26) + (sqrt(3744) - (-1*sqrt(3744) - sqrt(3744)) - sqrt(3744)) + sqrt(3744))\/((sqrt(98) - sqrt(98)*-3) + sqrt(98)).\nAnswer: -5 + 37*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5839 to the power of 1\/2, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 22724342 a multiple of 2426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 65*m - 711. Let h be p(-14). Solve h*n = -4*t + 23, 4*n + t = n + 8 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 10*w + 73. Let b be k(5). What is the highest common divisor of b and 1066?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -299992 greater than -299990?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 72\/(-45)*(75\/9)\/(-5)*-6\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37734 + 58223. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28.6 + 34.6. What is the nearest to 0 in w, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_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: In base 7, what is 4 - 141133?\nAnswer: -141126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*q + 5*n, -5*q - n - 3*n = -20. Suppose 3*z + o + 1 + q = 0, 3*o + 3 = z. Suppose z*a - 90 = -5*a. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h - 136 + 72 = -3*p, -5*h = -2*p - 74 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -2221?\nAnswer: -10001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*h*j**3 - 2130*h*j + 4681*h + 68*j**3 - 5*j**2 + 76793*j wrt h?\nAnswer: -7*j**3 - 2130*j + 4681","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/7)*(c**9*c*c)\/c assuming c is positive.\nAnswer: c**(72\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 200 = 5*o, 24 = -4*o + 8. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5.3 + -1.3. Let p = -1.92 + -0.08. Let s = p - -1. Which is smaller: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**3 - 3*b**2 - 12*b + 8. Let t be j(5). Which is smaller: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**1)**(9\/8)\/(m\/m**(2\/17)*m**(-3)*m) assuming m is positive.\nAnswer: m**(19\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22313 (base 8) in base 10?\nAnswer: 9419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 2. Let t = 5.9 + q. What is the smallest value in -2\/5, -1\/3, t?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46*c - 7*c**2 - 2*c**4 + 3*c**3 - 2*c**3 - 1 - 2 + 4 + 3*c to x + o*c**4 + u*c**2 + v*c + g*c**3 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53*p**4*y + 3*p**4 - 21*p**2*y + 7*p**2 wrt p.\nAnswer: 1272*p*y + 72*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.57 (b) 1\/3 (c) 0.3 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, c: 3, w: 2, s: 1, i: 2, m: 2}. Give prob of picking 2 q.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 81982682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -7969890030 rounded to the nearest 1000000?\nAnswer: -7970000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 3*a - 26 = 0. Suppose 3*n - 21 = -3*c, 3*c - a = -c - n. What is the third derivative of 3*h**4 + c*h**2 - h**4 + 0*h**2 wrt h?\nAnswer: 48*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -n + 3*i, 2961*n - 2*i = 2963*n + 18 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 5*h - 3)*(2*h**2 + 0*h**2 - 10*h**2) to o + i*h**3 + u*h**2 + d*h and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 minus 5251?\nAnswer: -5250.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -5*g + 3298, -2*g + 3*u = 2*g - 2646. Suppose -3*s + g = s. Let d = s - 80. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188881?\nAnswer: 7, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 5*p**2 - 5*p + 4. Let a be u(4). Let j = -554 + 558. Calculate the greatest common divisor of a and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 184 = -6*c. Suppose 2*q + 3 = -3*d + 2, -4*q + c = d. Calculate the remainder when q is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1741, 1737, 1731, 1723, 1713, 1701?\n\"Answer: -v**2 - v + 1743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/36 - -5\/12. Let d = -12.05 - -0.05. Let o = -12.3 - d. What is the closest to w in -1, 0.1, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.022 minus -7.1?\nAnswer: 3.078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 137*w**2 - 83*w + 7691. Determine s(-138).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 5*k + 4 = -5, -5*k = 3*z + 37. Let h = 52518 - 52521. Let n = -4.93 + -0.07. Which is the smallest value? (a) h (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 5*i**2 - 5*i - 130. Let j be t(8). What is the highest common divisor of 946 and j?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 11*o - 7. Let r be x(3). Suppose -7*d - r = -3*d - 5*s, -25 = -5*s. Solve d*k = 4*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5 (b) 1\/5 (c) -5 (d) 834052\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 17 = 4*l - 43, -5*x - 45 = -5*l. Solve -l*a - 4 = 2*r, -4*r - 5 = -0*a + 5*a for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**3\/24 + 11*b**2\/8 - 121*b\/8 - 110. Factor t(r).\nAnswer: -(r - 11)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 101825 + -100818. Let s(q) = q**3 + 7*q**2 - 8*q - 3. Let c be s(-7). What is the highest common divisor of y and c?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - 18) + -7 + 39 + -6.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 51*y**4 + 1791*y**3 + 1944*y**2 + 204*y = 0?\nAnswer: -34, -1, -2\/17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -76226 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 2:18 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 2*g + 3 - 5 = 0, 5*i + 5*g = -15. Which is greater: i or -10\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 62*s - 200 wrt s.\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 7617*b + 6971. Let n(j) = 7615*j + 6971. Let v(c) = -9*n(c) + 10*t(c). Differentiate v(i) wrt i.\nAnswer: 7635","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -4 + -4*((sqrt(200) - (sqrt(200) + -5)) + -3) + 5)**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 18 = -4*w, -n - 12 = -3*w - 0*w. Suppose -w = -5*u + 27. Let a(t) = -t**3 + 5*t**2 + 6*t - 7. Determine a(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is f in f**5\/4 + 35*f**4\/2 - 3055*f**3\/4 - 27580*f**2 + 60141*f + 86940 = 0?\nAnswer: -90, -28, -1, 3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/(-350)*(-2)\/(-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -17. Suppose d = 18 + 20. What is the remainder when d is divided by q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 26184, 22411, 18638, 14865?\n\"Answer: -3773*t + 29957","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1489015 to 3 decimal places.\nAnswer: 0.149","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/66 + 10\/3. Find u such that -2\/7*u**5 + 6\/7*u**4 - 6\/7*u**o + 0 + 2\/7*u**2 + 0*u = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -29441 (b) 0.3 (c) -287\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1139276)\/111744 - (-4)\/(-18). Let f = 2296417\/561824 - 740\/181. Let i = a - f. Calculate the common denominator of 99\/20 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49.95 - -50. Let i = 0.45 - b. Let s = 6 - 6.4. What is the third biggest value in s, -0.5, i?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1723 + 1726 - (-33 + 4)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 - 12 = -18*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 r, and 1 b when four letters picked without replacement from {t: 7, u: 6, q: 2, r: 1, b: 1}?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.4 + -2.9. Let j = -2.5 - y. Sort j, 5, 1\/5.\nAnswer: j, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 2\/33, 0.5, -0.3?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8317 (base 12) to base 2\nAnswer: -11011111000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 + 68. Does 19 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 - -152. Let d = 487 - l. Suppose 0 = -13*k + 9*k + d. What is the remainder when k is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 455340469 to the power of 1\/5, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14 is divided by 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 5*j - b - 118, 2*j = -2*b + 90. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11200021102 (base 3) to base 9.\nAnswer: -150242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the second derivative of -5*z**4\/12 - 65*z**3\/2 + 675*z**2 - 414*z - 6. Factor t(m).\nAnswer: -5*(m - 6)*(m + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 1623, 3246, 4865, 6480, 8091?\n\"Answer: -2*l**2 + 1629*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -609930*o**4*z - 3317*o**2 - 57*z wrt o.\nAnswer: -14638320*o*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -6\/5*y**5 + 4\/3*y**3 + 0*y**2 + 1 + 0*y + 1\/2*y**4. Let c(k) = 0. Calculate k.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4\/7 (b) -4\/5 (c) -0.08162 (d) -105\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49302 = -2*q + 8*q. Let i = q - 5674. Is i 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 6 and 222?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 303355, 1213427, 2730213, 4853713, 7583927?\nAnswer: 10920855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 14\/223991?\nAnswer: 14\/223991","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -5*o + 30, -r - 9 + 3 = -5*o. Suppose 3*g = -3*n + 21, o*g = -0*n - 3*n + 16. Solve -z - g*q = -2*q + 9, -11 = z + 4*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 2*z = 2*z. Let t(k) be the third derivative of 0*k + 1\/24*k**4 + z + 2\/3*k**3 + 11*k**2. Determine t(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 times 2103\nAnswer: 252.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1140*g**5 + g**4 + 28*g**2 + 9?\nAnswer: 68400*g**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 0.6 (c) 179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(76)\/(2*sqrt(576)))*-6.\nAnswer: -sqrt(19)\/4 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -318 + 116. Let f = 201.9999791 + t. Round f to six decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Suppose -4*v - 2 = -o*v. Let z be (v\/5)\/(3\/(-90)). Calculate the greatest common factor of z and 96.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 56776606 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -76 - -78. What is the third derivative of 3*w**6 + 0*w - 34*w**y + 0*w + 26*w**2 wrt w?\nAnswer: 360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s + 5. Let v be w(13). Let o(l) = -l**3 - 7*l**2 + 9*l + 9. Let z be o(v). Let r(q) = 59*q - 4. Is r(z) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30032003 - 130?\nAnswer: 30031323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k**5\/4 - 271*k**4\/4 - 17391*k**3\/2 - 256446*k**2 - 1121472*k - 1285632 = 0. Calculate k.\nAnswer: -48, -3, -2, 372","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -427, -870, -1335, -1834, -2379, -2982?\nAnswer: -3655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4829.8428 rounded to 0 dps?\nAnswer: 4830","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 14\/11, -2, 1\/3, -3\/2, 2\/17?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 120. Let v(x) = 5*x**2 - 218 - 3*x**2 + 218. Calculate v(z(m)).\nAnswer: 8*m**2 - 960*m + 28800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 498*i - 500*i = 14 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143 = 132*h + 11*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(11) - (sqrt(11) + 5*(sqrt(11) + 1 + sqrt(11)) + sqrt(11))) + 3)**2 + (((sqrt(704) + 1 + sqrt(704) - sqrt(704)) + 1)*-1)**2.\nAnswer: 164*sqrt(11) + 2075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87, -96, -121, -168, -243, -352?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 + 2. Let y be p(-2). Let w = y + 4. Let t = w - -9. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -95*g + 35. What is s(0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (28\/(-63))\/((-368)\/828). Let w = 1 - 10. Put 0, y, w, 2 in decreasing order.\nAnswer: 2, y, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1183179 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9113 and 286.\nAnswer: 200486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 23*y**3 + 5*y**2 + 13*y - 2503. Let t(i) = 14*i**3 + 3*i**2 + 8*i - 1252. What is 5*t(v) - 3*x(v)?\nAnswer: v**3 + v + 1249","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -555*p**3 + 2*p**2 - 2*p + 2321?\nAnswer: -3330*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82246 + -57699. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.11 + -0.11. Let j = -0.06 + u. Let k = 703.5 + -703. Which is the closest to 1? (a) k (b) -1 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrroromrrrrrw. Give prob of picking 2 r.\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1093767*u + 1093767*u + 1 + 0 - 1 - 146*u**3.\nAnswer: -146*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 10:36 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3253006300?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/3 + 738191*l\/3 + 9596990.\nAnswer: -(l - 738230)*(l + 39)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**2 + 148*d - 1288.\nAnswer: -4*(d - 23)*(d - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000488 to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7646*m**3*w - 16808299*m**3 - 200*w wrt w?\nAnswer: 7646*m**3 - 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*3*4\/(-12). Let i(j) = -107*j + 7. Let p be i(v). What is the highest common divisor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1024\/7 <= 147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 f when two letters picked without replacement from {p: 2, k: 1, q: 3, f: 4, u: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13374 and 250196334?\nAnswer: 4458","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 51631834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8522*g - 2083*g + 5998*g)*(g - 2*g + 0*g).\nAnswer: -12437*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**(-4\/19)*p*p**(-1\/16)*p**(-1\/20)\/((p**(1\/18)\/p)\/p) assuming p is positive.\nAnswer: p**(63221\/13680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7802232?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -212 < -170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0*t + 0*t**5 + 9\/8*t**4 + 0 + 1\/84*t**8 + 0*t**3 + 23*t**2 + 0*t**6 + 0*t**7. What is the second derivative of r(k) wrt k?\nAnswer: 80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**3 + 6*x**2 - 6*x + 6. Let g(s) = 1 - 5 - 13*s**2 - 6*s**3 + 13*s - 9. Let o = -20 + 14. Give o*g(n) - 13*m(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b + 12. Is h(-9) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 e when four letters picked without replacement from {a: 6, e: 2}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 143531 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3675 and 1491?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1452?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -5*b - 29, 0 = 5*f - 8*f + 5*b + 37. What is the remainder when -2 - (-1 - (-32)\/(-2)) is divided by f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*k - 41*k**2 + 14*k + 16*k + 21*k**2.\nAnswer: -20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 301*g - 12. Let f(n) = -2*n + 12. What is -2*c(x) - 2*f(x)?\nAnswer: -598*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -111, -246, -449, -732?\nAnswer: -1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1303, -4211, -9095, -15961, -24815?\nAnswer: -35663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -307*x**2 + 3*x - 10 + 114*x**2 + 2*x**3 + 10 - x**3 to the form v + l*x**2 + n*x**3 + c*x and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -6 + 3 + 1 - (4 + -9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**3 + 220*t**2 + 736*t - 2320.\nAnswer: -4*(t - 58)*(t - 2)*(t + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - z + 10. Suppose -q + z = 2. Suppose -3*y + 0*t = q*t - 36, -3*t = -y - 4. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -15*g - 42. Let z be j(-4). Let s be (-2 - 0) + (21 - 2). Is z at most s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, e: 1, i: 1, k: 2}. Give prob of sequence leki.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 5:26 AM?\nAnswer: 11:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -162120 divided by -2316.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 634.9998514 + -635. What is x rounded to 5 dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19928176*v**5 + 101535*v + 57 wrt v.\nAnswer: -398563520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m - 8 = -6*m. Let b be (-1)\/m*(-6 - -2). Calculate the remainder when 32 is divided by (-378)\/(-35) + b\/(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -189*p + 1246. Calculate x(9).\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + 784\/(-200))\/((-1)\/(-5)). What is the nearest to -9 in 1\/8, 0.3, s?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a meter in centimeters?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 570.284051 to the nearest integer.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0175344 - 30?\nAnswer: -30.0175344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2898 = 11*m + 2876. Let o(f) = 16*f**2 + f - 1. Calculate the smallest common multiple of o(1) and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 496, 507, 526, 553, 588, 631?\nAnswer: 682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 38886 to the power of 1\/2, to the nearest integer?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 6*k**2 - 49*k + 13. List the prime factors of r(9).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2 and 838436?\nAnswer: 838436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2648*b + 573 + 47 = -2628*b for b.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7612307 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -638 + 283. Let i = d + 386. Calculate the highest common divisor of 1 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0697 + 0.0697. Let z = 2.7 - -0.3. What is the closest to h in -0.3, 12, z?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 = -6. Solve 3*c - z = c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10 + 9)*60\/(-6). Which is the biggest value? (a) 2\/15 (b) -6\/5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 4*x**2 + 2. Let i be 10\/4*(-30)\/(-75). Let k be b(i). Suppose -2*u = u - 9. Solve -u*m + 9 = -k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -836030 divided by 14170?\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5219965?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 359*t**2 + 173*t**2 - 48*t**2 - 103*t**2 + 349*t**2 to the form c*t + l*t**2 + w and give l.\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 - 7*m - 1. Let j be u(5). Suppose -2*a = -6, 2*k = a - j + 120. List the prime factors of k.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**5\/7 - 360*b**4\/7 + 23106*b**3\/7 + 72468*b**2\/7 - 10732095*b\/7 - 10781100\/7 = 0.\nAnswer: -165, -20, -1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 475 is divided by 72?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 128314126 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*z - 40*z - 2176 = 0. Let y = z + 548. Solve -y*v = 8 - 16 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -18054, 167?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 2 = 1. Let v be 45\/(-12)*2*32\/(-16). Is 7 a factor of 460\/v + (-2)\/t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 22, -0.1 in decreasing order.\nAnswer: 22, -0.1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h + 234 + 843 + 1609.\nAnswer: h + 2686","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 2*a**2\/11 - 124112*a\/11 + 42580590\/11 = 0.\nAnswer: 345, 61711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 26*b**2 + 21*b - 326. What is the lowest common multiple of p(-28) and 46?\nAnswer: 15042","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 3966326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 428987752 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3996*r**3 - 456*r**3 - 2351*r**3.\nAnswer: -6803*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 245 + 689 = -3*z, 2*h = 2*z - 168. Let w = -55 - h. Solve 0 = 5*q - w + 12 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 324639611.\nAnswer: 324639611","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 73 + 729?\nAnswer: 802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/3))**27\/(z*z*(z*z*z**(-8)*z)\/z*z*z*z**2*z) assuming z is positive.\nAnswer: z**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 + 3*k - 5. Let f be n(-5). Solve x = 2*x - f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 24\/9)\/((-4)\/(-18)). Solve 1 = 2*t - p for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaxxkykkyxgkoxa. Give prob of picking 3 k.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 6. Let p(u) = -4*u + 3. Is p(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010070454 rounded to seven dps?\nAnswer: -0.0001007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 273491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 87321804?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33038, 33014, 32974, 32918, 32846, 32758, 32654?\nAnswer: 32534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3181, -6358, -9535, -12712, -15889?\n\"Answer: -3177*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -81*o - 211 wrt o.\nAnswer: -81","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10010111110001 (base 2) to base 3.\nAnswer: -111022202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/20 and -47\/15?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 12) in base 16?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137192536 divided by 1.\nAnswer: -137192536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.032 in -1, 2\/11, 2, -839?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7a (base 11) in base 10?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r**2 + 11358*r = 0. Calculate r.\nAnswer: -5679\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 4*f = -5 - 2, 4 = -2*f. Suppose 4*i + 0*i - 869 = l*y, 0 = -4*y - 20. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 3647 = 3*g, 1212 = -3*g + 4*g + 2*l. Suppose u + 417 = g. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -893, -852, -781, -674, -525?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z + 1872 = 4*z - 93*z for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3819\/14 + -273. Calculate the common denominator of m and -53\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*x + 133 = -33*x + 91*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 33334698?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-15) - 27\/(-5). Suppose d**4 - 5*d**3 + 3*d**3 - 4*d**5 + 5*d**c = 0. What is d?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -251517 - -251524. Suppose 5*p - 2*p = 420. Calculate the least common multiple of p and y.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30928114387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -339915 divided by -85\nAnswer: 3999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(13) + sqrt(325) + -3 + sqrt(325) - (1*sqrt(13) + -1))*-3 + -3 + 0.\nAnswer: -30*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 80*z**2. Let w(k) = -5*k**2 + 9. Let t(s) = -26*s**2 + 48. Let y(n) = -3*t(n) + 16*w(n). What is y(o(i))?\nAnswer: -12800*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 divided by -5.\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-59)\/((-413)\/3))\/(2\/(-154))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 7, 35812, -5, 3 in descending order.\nAnswer: 35812, 7, 3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 22237.34 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*((sqrt(66)*-2 - sqrt(66)) + sqrt(66)) + 3*(sqrt(66)*-2 + sqrt(66) + sqrt(66)))\/((sqrt(384) - (sqrt(384) + sqrt(384)*1))*1))**2.\nAnswer: 11\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 x when four letters picked without replacement from {s: 5, x: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1943452.\nAnswer: 2, 7, 31, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in one tenth of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3\/16 - 5\/16. Let o = 1.981455 - -0.018545. Let m = 0.9 + 0.1. Which is the nearest to o? (a) u (b) 0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 59?\nAnswer: 11.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4729983171?\nAnswer: 3, 37, 42612461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-663)\/3978)\/((-2)\/108).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4953280 by 184.\nAnswer: 26920","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 34 = -c, 404*k + 38 = 409*k - c. Put -5\/6, -3, 3, k in decreasing order.\nAnswer: k, 3, -5\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*(-4 - (-20)\/4) - -55. Let r be 34\/119 + -2 + 110\/k. Which is the third smallest value? (a) r (b) -5 (c) -0.08 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -6*w**3 + 114*w**2. Let o be k(19). What is the closest to -2 in o, 5, -2\/47, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -2 - (-24)\/14.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -6 + 4 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2779, -5569, -8371, -11191, -14035, -16909, -19819?\nAnswer: -22771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (23\/(-299))\/(6\/(216\/6)).\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4770 - 4768. Let y(h) be the second derivative of 0*h**4 - 1\/2*h**j + 3\/4*h**5 + 0*h**3 + 0 + 16*h. Differentiate y(x) with respect to x.\nAnswer: 45*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26 - 2*z**2 + 10*z**2 - 4*z**2.\nAnswer: 4*z**2 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*l - 22, 3*l - 2*u - 30 = 4. Solve 24*j = 21*j - l for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -495 = -0*a - 5*a. Let h = a + -96. Solve -h*n + 3 = 3*i, -4*n + i + i = -22 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 5*p**2 - 135*p. Let z(u) = -4*u**2 + 136*u. Determine 3*k(n) + 4*z(n).\nAnswer: -n**2 + 139*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 3*y + 2 + 1\/2*y**2. What is the units digit of o(6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -5*q**2 - 5*q - 2. Let a(w) = 5*w**2 + 4*w + 3. Let d(g) = 4*a(g) + 6*i(g). What is the second derivative of d(h) wrt h?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10378583?\nAnswer: 31, 334793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 - -1411400041?\nAnswer: 1411400022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 3:15 PM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1513080007 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b - 18. Let o be 7\/(-42)*-3*0. Give j(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 195 + -181. Solve 3*k = -x + 5 - g, -2*k - 5 = x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o - 11 + 10 + 4 + (168*o - 116*o - 130*o)*(7 - 3 - 2) in the form m + r*o and give r.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3458 and -1696.\nAnswer: 5864768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 146 - 100. What are the prime factors of j?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 2 + 4)*(2*r - 3*r - r)*(-3 + 0 + 213*r - 212*r - 2*r**4).\nAnswer: -24*r**5 + 12*r**2 - 36*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*r**2 - 3*r**2 + 144*r - 143*r + 1 - 2*r**3 in the form f*r + n*r**3 + d*r**2 + i and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 9:52 AM?\nAnswer: 2:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 207768961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4342*a**2 - 6471*a - 3. Let f(d) = -3*d. What is n(f(z))?\nAnswer: 39078*z**2 + 19413*z - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5 - (-7 + (-340)\/72) and -13\/102?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 124\/3*147\/(-14). Let q = -474 - z. Which is the closest to -0.2? (a) -4 (b) q (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20, -19, -120, -313, -628, -1095, -1744, -2605?\nAnswer: -3708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12073.\nAnswer: 12073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6156033659?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0475 - 5.88?\nAnswer: -5.9275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -3.96?\nAnswer: 19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1449591413 or 1449591412?\nAnswer: 1449591412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 630.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b**3 - 4*b**3 - b**3)*(b + 2 - 2) + (-2*b + 0*b + b)*(-3*b**3 + 0*b**3 + 2*b**3).\nAnswer: -6*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 86701 - 86699. Let u(c) = -6*c**2 + c - 5 + 4 - 2*c. Calculate u(h).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*s - 17. Suppose -1 + s = 5*y. Is 7 a factor of 27\/3 - (0 + y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/4 and 85\/1664.\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {o: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -114, -221, -528, -1137, -2150, -3669, -5796?\n\"Answer: -17*l**3 + 2*l**2 + 6*l - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 46 - (-15 - (-3 + -18))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1295 + -1236. Suppose 5*z - 63 = 62. Calculate the remainder when p is divided by z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bccn. What is prob of sequence bn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -24*r - 424. Give z(-12).\nAnswer: -136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17446635265 + 2?\nAnswer: -17446635263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/4696 and 17\/24?\nAnswer: 14088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -270, -0.5, 1\/9, -1, -1\/13 in descending order.\nAnswer: 1\/9, -1\/13, -0.5, -1, -270","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -287480*c**3*s**2*t + c**3*s*t**3 + 7*c**3*s + 6*c**2*s*t - 47*c*t**3 + 47*s**2*t**3 + 24*s - 4*t wrt s?\nAnswer: -574960*c**3*t + 94*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 782713423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2250151?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/(-10)*80*18\/3456.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 26*y + 45. Let d be g(-24). Is 9 a factor of 278\/6 + d\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 209 - 195. Suppose -2*h = h - 126. Calculate the highest common divisor of i and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -144551 (base 7) in base 16?\nAnswer: -6da0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i*i**(-5\/2))*i*i\/i**14*i**(-2)*(i\/i**(-6\/5))\/i assuming i is positive.\nAnswer: i**(-103\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (1\/2)\/(126\/(-36))*-2\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*k + 680, -2*d - 118 = -d + 5*k. Let o = d - -148. Solve -4*b = -4, 4*f - 2*f - 5*b = -o for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1170?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 27522*k + 165285. Give u(-6).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-2 - (0 + (-6 - -10))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(34)\/sqrt(2)*2)**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 0*v = 0. Suppose 3*k + k - 4696 = v. Suppose -2*n - 4*o + k = -o, -o = n - 587. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3382, 3435, 3524, 3649, 3810, 4007?\nAnswer: 4240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 15*i**3 + 12*i - 110 wrt i?\nAnswer: 45*i**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3*k)*(9 - 2 - 3).\nAnswer: -12*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1922*g + 621940 = -5233*g - 2343*g for g.\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1847\/18 less than or equal to -104?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 52*w - 220. Determine t(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 2*h - 14, -2*h + 5*p - 3*p + 2 = 0. Sort -4, h, 9 in ascending order.\nAnswer: -4, h, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5662747 to the power of 1\/3, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fffffffffffffffffj.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 4*q + 3*q + 113, -4*h - 450 = -5*q. Let p be h\/35 - (-4)\/14. Let k be p + -1 + 2 - -2. Solve k = o - 6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21 is divided by 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*o - 5*o + 0*o + (2 + 2 - 2 - 2*o)*(3 + 2 + 19 - 3 + 4 - 2 + (-2 + 4 - 4)*(4 - 1 - 4)) as k*o + t and give k.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/(sqrt(9)\/sqrt(3)) + -4)*2.\nAnswer: -8 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5453\/31 + -17296\/341. Let k = -125 + x. What is the closest to -2\/3 in 2, -2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-462))\/((-164)\/1353)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -268092 + 1340462\/5. Factor q*g**4 + 4\/5*g**2 + 6\/5*g**3 + 0 + 0*g.\nAnswer: 2*g**2*(g + 1)*(g + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r + 38. What is n(33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1016\/158165?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -q**4 - 131*q**3 - 75*q**2 - 2?\nAnswer: -24*q - 786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3294 is divided by 2986?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.249823 and -54.\nAnswer: -54.249823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 - -26. Let d = 122 - g. Suppose d = q - 105. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*c + 10455 - 10455 - 834*c as w + i*c and give i.\nAnswer: -891","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x. Let w(d) be the third derivative of -d**7\/2520 + 43*d**5\/120 + 29*d**4\/8 - 87*d**2. Let f(t) be the second derivative of w(t). Give f(g(y)).\nAnswer: -y**2 + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-3)*-1 - -5. Suppose 15 = -o*t + 8*t. Suppose 20 + t = y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 564, -0.4, 0.3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1003, 10 in ascending order.\nAnswer: -1003, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -3*h**2. Let l(a) be the first derivative of 0*a - 2 - 1\/3*a**3 + 0*a**2. What is v(l(z))?\nAnswer: -3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 10\/540613?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.932 rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 + -4 - (-485)\/(-4810) and 7\/32.\nAnswer: 15392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29224 (base 13) to base 16\nAnswer: 12dcf","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:54 AM and 4:37 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + 2. Suppose 2*l = t + 52, 0 = d*l + 4*t - 38 - 42. Let o = l + 27. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(1\/(3 - 4)). Suppose -m + 3*m - 6 = b. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/30 + (882\/81)\/(68\/357)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -404, -985, -1820, -2921, -4300, -5969?\nAnswer: -7940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21000 is divided by 208.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -1363*o**2 + 6681*o + 11. Determine z(5).\nAnswer: -659","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 - -116. Let d = l - 164.6. Let j = 0.2 + -1.2. Put 0.4, j, -0.2, d in ascending order.\nAnswer: j, d, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 109*q + 1390. What is z(-12)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 72 = -3*a. Let f = 22 - a. Suppose -t = t - f. Calculate the remainder when t is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -8. Let s(t) = -530*t**2 + t - 1. Let x be s(r). Is 9 a factor of (-9)\/(-6)*x\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.51751 less than -6.51?\nAnswer: -5.99249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 48 - 240. What are the prime factors of (-24)\/9*r\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) -47\/6 (c) 2 (d) 4 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (158*2\/(-8))\/((-2)\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 0.01, -4 in ascending order.\nAnswer: -4, 0.01, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/20)\/((-21)\/(-70)). Let i be (6 + n)\/((-4)\/(-2)). Solve 0*q - q = i for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.56470907 to three decimal places.\nAnswer: 1.565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3401 = z, 0 = 3*z + 20 - 5. Let q = w + -668. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*j + 38, 6*j - 2 = x + 3*j. What is the nearest to 1\/4 in 1\/6, x, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10523*y - 429*y**2 - 10523*y as a*y**2 + m*y + s and give a.\nAnswer: -429","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n + 7. Let u(i) = -7*i - 7. Let p(g) = 6*o(g) + 5*u(g). Calculate the remainder when 25 is divided by p(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 285558349 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 871941040.\nAnswer: 2, 5, 23, 631, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t - 5. Let s be z(11). Suppose 0*l = l - s. Which is greater: 1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 2*q - 1. Let j be (4\/6)\/1 - (-120)\/(-45). Let i be (3 - 1)*(-3)\/j. Determine z(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from olollillooillooo. Give prob of picking 1 l and 1 o.\nAnswer: 49\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = 2*g. Suppose g = -4*a + 2*a + 8. Suppose 5*b = -5 + 25. Calculate the smallest common multiple of a and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/9)*x**(-1\/2)\/x*x**(2\/5)*x**4*x**(1\/4)\/(x\/x**(1\/2))*(x**(-1))**(18\/5) assuming x is positive.\nAnswer: x**(-211\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 27668*n + 249017. What is p(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -11*z**2 - 3*z - 3. Let t(p) = -56*p**2 - 14*p - 14. Let y(o) = -3*t(o) + 14*v(o). Let i(w) = 13*w**2. What is y(i(c))?\nAnswer: 2366*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - q = 5*q + 111961, 223976 = 2*k - 3*q. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sts when three letters picked without replacement from hntshtssthtnhthsttn?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1056779, -2113566, -3170353, -4227140, -5283927, -6340714?\n\"Answer: -1056787*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166 + -153.2. Let i = m - 12.8. What is the closest to 7 in 5, 0.2, i?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3\/5, 2, 3\/10, 8 in decreasing order.\nAnswer: 8, 2, 3\/5, 3\/10, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1152 + -1158. Put x, 0.3, 3\/7, 0.1 in ascending order.\nAnswer: x, 0.1, 0.3, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**2 - 7*j + 6. Suppose 3 = k - 17. What is the lowest common multiple of b(4) and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}