diff --git "a/data/dm_maths/full_data_2/10891_11255.jsonl" "b/data/dm_maths/full_data_2/10891_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10891_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let c = 540 - 532. Suppose -9*q - c*q = -16439. List the prime factors of q.\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21104 divided by 6.\nAnswer: -10552\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q + 1. Let f be i(2). Let z(n) = -2*n + 1. Let w be z(f). What is the highest common divisor of 12 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (-14 + 7 + 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 4*p = -80, -5*s + 2*p + 100 + 16 = 0. Is s a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 673157602 to the nearest one million.\nAnswer: 673000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6762355?\nAnswer: 5, 73, 97, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 divided by -2178922?\nAnswer: -5\/1089461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**35\/a)\/a)\/(a*a**(-1\/3)))\/((a**(5\/7)\/a)\/(a*a*a**(-19)*a)) assuming a is positive.\nAnswer: a**(349\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n + 10. Let z be g(4). Let y = -1 + -1. List the prime factors of 0 + z*(y + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, -2\/7, 1909, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 6*s**2 + 3*s + 1. Let r(g) be the first derivative of -3*g**2 - 9*g + 19. Let p be r(-2). What is the tens digit of o(p)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o - 1 - 10*o**3 + 0*o + 47607*o**2 + 0*o - 5*o - 47608*o**2 to x*o**3 + n*o + u + l*o**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5\/7 - 188*j**4\/7 + 726*j**3\/7 - 540*j**2\/7 = 0. Calculate j.\nAnswer: 0, 1, 3, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712 is divided by 228.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 0, x - k - 30 = -4*x. What are the prime factors of 4*(x + -3 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -n - 4*m, -5*m + 13 = -2*n - 2*n. Which is the nearest to -2\/3? (a) 13 (b) n (c) -0.08 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12 - -17. Let u be -32 - (0 + 4 - w). Let f = u + 31. Solve 4*a = 8 - f for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -28 and 1.119.\nAnswer: -31.332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 17, 2\/15, -8, -7\/3?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001236375433 rounded to 7 decimal places?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - -3. Suppose 5*r = 4*j - x, -j - 3 = -2*r - 5. What is the second derivative of 6*c**4 - 5*c**j - 3*c**4 - c wrt c?\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -3*x - 14. Determine i(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from qhjnpnnpjj?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6.05 in -2\/7, 1, -4, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -346034*4\nAnswer: -1384136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/9 (b) -2 (c) 0.3 (d) 3 (e) 32024 (f) -0.2 (g) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((h*(h**(-1\/4)\/h)\/h)\/h)\/h)\/h)\/h)\/(h*h**(3\/8)\/h)*((h**(2\/7)*h)\/h)**(14\/11))**42 assuming h is positive.\nAnswer: h**(-9723\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 97*j + 100*j - 93 = 0, -5*j = -u + 53. What is the greatest common divisor of 9243 and u?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 450 and 33850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3512 - -3513. What is the second biggest value in 39, d, -0.4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 3*f = -6, 6*f - 2*f = -3*g + 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3217 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -12*x**2 + 1769*x - 1082. Give n(147).\nAnswer: -347","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 289555.\nAnswer: 5, 7, 8273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 3*g**2 + 3*g - 6. Let x be b(-4). Let f be (0\/3)\/(0 - x). Solve f*m - 12 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 145.8 + -146.2. Which is the closest to 1? (a) 0.3 (b) -5 (c) y (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -158 (b) 0.1 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 - o - 1. Let v be r(2). Let f be (-3 - (-33)\/3) + 3 + -9. Solve -8 + 2 = 2*d + f*g, g - v = -3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7)\/1*(5 + 16 + -38). Solve 36*o + a + 61 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-29)\/(46110\/(-45)))\/((-3)\/2).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 257 * -145482\nAnswer: -37388874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 21, 34, 49, 66, 85, 106?\n\"Answer: f**2 + 10*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2454 + -2259. What is the greatest common factor of 1080 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 520\/(-6) - (-12 - -7) - 0. Let n be 9\/((-19)\/(-9) - 2). Let x = d + n. What is the closest to x in 0.3, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 7*r**2. Let l(b) be the first derivative of 3*b**3 - 4*b**3 + 6 - 4 + 3. What is u(l(o))?\nAnswer: 63*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1122020110 (base 3) to base 6.\nAnswer: -405150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -6*b**2 - 30*b + 27. Let a(c) = -8 - 2 - 5 + 5*c**2 - 13 + 29*c. Let h(i) = 5*a(i) + 4*u(i). Calculate the remainder when h(-28) is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 86621223 + -17269.643.\nAnswer: 86603953.357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3796 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-34)\/(-4))\/((-1)\/2126). Find the common denominator of -49\/58 and m\/2142 - (-2)\/9.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**6\/30 + b**5 - 28*b**4\/3 + 113*b**2 + 1. Determine k, given that q(k) = 0.\nAnswer: 0, 7, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2240012130 (base 5) to base 11.\nAnswer: -2906297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67530830 rounded to the nearest one million?\nAnswer: 68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-15)*2)\/(630\/(-350)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*h**2*i*s**3 - 17*h**2*i - 5*h**2*s**3 + 4*h*i*s**2 - 5*i*s**3 - 2*i*s**2 wrt s.\nAnswer: -12*h**2*i - 30*h**2 - 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30150288 and 3150.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3750 divided by 6?\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -36 (base 7) to base 4\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -2. Let a = -3 - 0. Let n = 3 - a. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-8))\/(54\/(-6048)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6012*-44065\nAnswer: -264918780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 9 + 14 + -18 + 4 + 0. Solve w*l + 6 = 11*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(405) + sqrt(405)*3)**2*-3 - (1 + 1*sqrt(405))).\nAnswer: 36*sqrt(5) + 77764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*r - 697, -12 = -4*r + 8*r. Calculate the remainder when d is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2436 and 52577?\nAnswer: 630924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 49\/132, -1, 16, -2\/3.\nAnswer: -1, -2\/3, 49\/132, 4, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2, -1281, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 7:29 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 9. Let c be f(7). Suppose 5*u - 3*l - 265 = 0, -c*u - l = l - 90. What is the remainder when u is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 2*s. Let x(g) = -6*g**2 - 10*g - 1. Let q(h) = 5*c(h) - x(h). Let w(l) = 6*l**2 + 6. Calculate -22*q(o) + 4*w(o).\nAnswer: 2*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2090 = -7185. Let n = c + 4020. Suppose 3*k = p + n, 609 + 837 = 2*k - 2*p. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.948 + 0.052. Which is the nearest to -0.1? (a) t (b) 2\/13 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.22? (a) -5 (b) -0.4 (c) 5 (d) 10 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 167 + 587 + 165)*(2*f + 9 - 6 - 6).\nAnswer: 2*f**2 + 1835*f - 2757","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -53*k*r**3 - k*r**2 - 2*k*r - 4*k + 2*r**3 - 6568*r**2 - 16737*r wrt r?\nAnswer: -318*k*r - 2*k + 12*r - 13136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 9144.877mm?\nAnswer: 9.144877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 996053, 996084, 996115, 996146, 996177?\nAnswer: 996208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1664819 and 6929?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 10 = -3*t + 2*h, 17*t = h - 4*h - 40 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + 32*a**2 - 104*a + 38. Let g be q(-35). Solve -30 = -k + 5*s, 25 = k - g*s - s for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - 30\/(-4))*(-6)\/(-21). Let n(t) = 5*t + 1. Let h be n(p). Sort -2, -3, h in ascending order.\nAnswer: -3, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -42 - 151?\nAnswer: -213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4247700 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 2.5. Let j = -2.97 + 3. Let f = u + j. Round f to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 224919, 224913, 224907, 224901, 224895, 224889?\n\"Answer: -6*b + 224925","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 r when two letters picked without replacement from rraerfra?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - (-438 + 20) - (-10 - -1). Which is smaller: z or 3854\/9?\nAnswer: 3854\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let o = 57 + -51. Calculate the smallest common multiple of x(-1) and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 2*w. Suppose 0*f - f + 4 = w. Suppose -10 + 102 = f*p - 2*j, 0 = 3*p + 2*j - 69. List the prime factors of p.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10, -5, -0.2, -6, -2\/11, 33\/4, -2.7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 10 = 2*v - 0*t, -3*t = -3*v + 12. Let k(q) = q. Let h(u) be the third derivative of 1\/12*u**4 + 0*u - 2*u**2 + 0*u**3 + 0. What is v*h(y) - 13*k(y)?\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 - 0.8. Let h = 30\/23 + -307\/253. Which is the nearest to q? (a) h (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 287 - -1b7?\nAnswer: 43e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(1\/2))\/z**(2\/23))\/(z\/z**(-1\/4)*((z\/(z\/(z**(-1)*z)))\/z)\/z)*((z**(-2\/3)*z)\/z**2)\/(((z\/((z**(-1\/2)*z)\/z))\/z*z)\/z)**30 assuming z is positive.\nAnswer: z**(-3727\/276)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 8, 276, 21, -2 in descending order.\nAnswer: 276, 21, 8, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 135*p + 138*p - 5 = 0, 4*p = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 145813131 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -220 + 3?\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/(-21))\/(14 - (-8582)\/(-616)) + 1 + 4.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/33 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 2*u + 5. Let z be n(-2). Let g(x) = 23*x**2 - 4*x + 3. What is the remainder when g(z) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4464*m**2 + 21318*m**2 - 25783*m**2 - m**3.\nAnswer: -m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*g = 41*g + 4080. What is the remainder when g is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l**2 - l**2 - 5*l**2)*(-4 - 33 - 28)*(-3 + 3 + 1) + 4*l**2 - l**2 - l**2.\nAnswer: 132*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/9, -5, 5\/3, -11, 0.2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8621 + -181007\/21. Find the common denominator of n and 53\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 688f50 (base 16) to base 2\nAnswer: 11010001000111101010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 208, -3\/4, -2, -2\/15 in decreasing order.\nAnswer: 208, -2\/15, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 29 = 40. Let v = b - 27. Let y = v + -24. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11166, -11370, -11574, -11778?\n\"Answer: -204*q - 10962","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1001827)\/132 - (-10)\/55. Let b = -10547 + 18141. Let d = b + i. Find the common denominator of d and 91\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -15. What is the second derivative of -16*o**2 + 31*o**2 - 10*o - 22*o**x wrt o?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20169641.\nAnswer: 20169641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7431*h**2 + 136201*h?\nAnswer: 14862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2077209649 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7*c**2 + 24*c - 105. Give l(4).\nAnswer: 103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*3*(-12)\/(-33)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**5 + 64*r**4 - 340*r**3 + 760*r**2 - 736*r + 256 = 0.\nAnswer: 1, 2, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 492\/(-369)*(8\/(-360)*-9)\/((-8)\/10).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 14*k**3 - 2*k**2 + 4*k - 3. Let y be r(1). Solve 3*z + 2*u - u - y = 0, -5*z + u + 27 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 19*a - 39. Let p be n(4). What is p rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -26. Let u be (32\/20)\/((-1)\/l). Let d = u + 28. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10.16 + 0.16. Let d = b + 11. Does -1\/3 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-450)\/(-1000))\/((-33)\/8)*-5\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -694.14214 rounded to one decimal place?\nAnswer: -694.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -3, 0.17, 0.4 in descending order.\nAnswer: 3, 0.4, 0.17, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.09445 + 0.07445. Suppose u = -3*u. What is the closest to u in a, 3\/2, -3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8840.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 133 and 70?\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 122 = -104 + 132 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 7 - 8 = 0. Let d = 1975\/9 - 37075\/171. Let g = d - 612\/247. Sort 1\/4, f, g in ascending order.\nAnswer: f, g, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrd when three letters picked without replacement from dryrrryrhydrrdddrryy?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -44669 = -44669?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11.3 + 11.25. Let t = u + 2.05. Let b = -0.1 + 0. What is the nearest to b in -0.4, t, 0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11489, -94310, -319105, -756860, -1478561, -2555194, -4057745, -6057200?\n\"Answer: -11831*o**3 - o**2 - o + 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27433 + -13107. Does 58 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 836008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (39\/(-65))\/((-11)\/10 - 3\/(-3)). Which is the closest to 65? (a) 3 (b) -0.4 (c) 1\/4 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 2*l**2 + l + 9. Let b(y) = -1. What is -3*b(s) - o(s)?\nAnswer: -2*s**2 - s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhvvvhvvvvvhhgh. Give prob of picking 4 v.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**2. Let s(f) = -5787*f**2. Calculate s(i(b)).\nAnswer: -23148*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -348989600, -697979201, -1046968802, -1395958403, -1744948004, -2093937605?\nAnswer: -2442927206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -37*z. Let r(y) = 17*y**2. Determine r(i(n)).\nAnswer: 23273*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 - -27. Let v = 0.4 + 0.1. Which is the closest to 1? (a) m (b) v (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - r + 6 - 13 = 0, -2*z + r = -11 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 2*g = 10, 5*a - 17146 + 17112 = -3*g for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 8 (c) 1 (d) -0.5 (e) -0.1 (f) -7.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/5 + 11004*b\/5 - 15136002\/5.\nAnswer: -2*(b - 2751)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 140140 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oll. What is prob of picking 2 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and -122539269.\nAnswer: -122539264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -7*v + 173. Let f be p(25). Let a be (-4 - -33 - f)*(4 + 11296). Round a to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dededdw. Give prob of sequence dd.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120930315 divided by 55.\nAnswer: 2198733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 + 20*h**2 - 21*h + 42. Let w be v(19). Suppose -3*z - 2*z + 97 = -2*x, -4*z = -w. Let y = -104 + 59. Which is smaller: x or y?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 225569.5 litres in millilitres?\nAnswer: 225569500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1557138 is divided by 372.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 13*a**3 - 534*a**2 + 14*a + 323. Give i(41).\nAnswer: -784","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 + 2)*(-1 - -3). Suppose -2*d = 2*l - 52, 0 = -2*l + o*l + 5*d - 67. Calculate the remainder when 40 is divided by l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(147) - (5*2*sqrt(147))**2 - sqrt(147))*1 + -5.\nAnswer: 14695","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -7, 18, 69, 152, 273, 438?\n\"Answer: k**3 + 7*k**2 - 3*k - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -18.65820403?\nAnswer: 16.65820403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1146 (base 13) to base 8.\nAnswer: -4570","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9522, 9534, 9558, 9600, 9666, 9762?\nAnswer: 9894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25909200 and 216?\nAnswer: 25909200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -107?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2)\/b*b*b)**(2\/13))**(-33)\/(((b\/(b\/b**(-5)))\/b**8)\/(b*b\/(b*b**(-7))*b*(b*b\/b**(1\/3))\/b)) assuming b is positive.\nAnswer: b**(1082\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 7*q + 2*q - 2)*(0*q**4 + q**4 + 0*q**4 - 34*q - q**4 + 34*q + (0*q + 4*q - 2*q)*(-4 - 2*q**3 + 4)).\nAnswer: 12*q**5 + 8*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 20 = -4. Sort -11, 2, y in increasing order.\nAnswer: -11, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u - 1 + 1)*(33 - 7 + 25) to the form p*u + m and give p.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32752 and 166608.\nAnswer: 1424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18.97 or 9922?\nAnswer: 9922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163685\/47516 + 33\/1697. Find the common denominator of -29\/16 and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -7, 0.2, -0.137?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**6\/(b**1\/b))**(-43))**(4\/33))**(-35) assuming b is positive.\nAnswer: b**(12040\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 7*b + 10. Let l be f(-6). Suppose 18 = -2*w - 10. Let g be w\/(-4)*(l + -2). What is the greatest common divisor of g and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/24724 and 2\/216335.\nAnswer: 865340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165100200.1 - 3299.\nAnswer: 165096901.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (-1*2*sqrt(204) + sqrt(204)))\/(sqrt(12) - (sqrt(12) + sqrt(24)\/sqrt(2)*2)).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -592, -5, 29.\nAnswer: -592, -5, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hr when two letters picked without replacement from {y: 6, i: 1, r: 2, h: 2, c: 3, s: 1}.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, p: 2, l: 8, u: 6, h: 1, e: 1}. What is prob of sequence lpqp?\nAnswer: 4\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 909 and 4343.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*p + 9 - 9 - p + 4*p - 4*p + (4 - 4 + 3*p)*(1 - 2 + 2))*(-1 + 3 + 0) to the form f + i*p and give i.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -10 - 14 + 2 + 37 - 77*u + 5*u**2. Let b be c(16). What is the greatest common divisor of 12 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 15. Solve 0 = -5*z + 5*b - 30, 3*b = 2*z - b + k for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-170 + 2444 - 453)*(n + 0*n - 3*n).\nAnswer: -3642*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(605)*5*3)**2.\nAnswer: 544500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*l - 36 = 0, -l - 20 = -2*a + l. Suppose -g + 3*m + 7 = g, a = 5*g + 3*m. Suppose g*o = 4*o + 6. Sort 4, o, -4.\nAnswer: -4, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2b43473 (base 12) to base 7\nAnswer: 134531613","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.4 and 3503667.929707.\nAnswer: 3503663.529707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**3\/3 - d - 1. Let t(o) be the first derivative of -5*o**3\/3 + 2. Determine t(q(r)).\nAnswer: -20*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/5 + (-3 - -2). Suppose 3*n + 9 = -x*n. Is 17\/(n + (-14)\/(-4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -25292*v**2 - 2*v + 792626 with respect to v.\nAnswer: -50584*v - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.930387012 - -1188125?\nAnswer: 1188124.069612988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11854.\nAnswer: 2, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 2757*m**2 + 36049*m - 450. What is r(13)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/10, -1\/5, -7, -0.1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -163 (base 8) to base 13\nAnswer: -8b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1122 + 3011. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p - 75. Calculate t(-43).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 0)*(-3*o + 4*o - 2*o) + 195*o + 49*o + 343*o.\nAnswer: 590*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a meter in centimeters?\nAnswer: 1460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let p(v) = 9882*v**2 + 4*v + 2. Let i(z) = -29644*z**2 - 14*z - 7. Let f(c) = -2*i(c) - 7*p(c). What is f(o(k))?\nAnswer: -39544*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 4*n**2 - 2*n + 1. Suppose 0 = 5*d, -3*i - 4*d = -i - 2. Let x be b(i). Find the third derivative of y**x + 4*y**4 - 2*y**2 + 5*y**2 - y**3 wrt y.\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 69 - -174. Let u = 249 - l. Solve u = -6*c - 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -117\/10 and (6\/8)\/(115\/(-160)).\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q + 88. Let s = -22 + q. Calculate the remainder when 115 is divided by (s - -29)\/(2\/2).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -102\/13, 2, -3, -0.092 in increasing order.\nAnswer: -102\/13, -3, -0.092, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -13. Let f = -49 + 35. Let q = 10 + f. What is the third smallest value in q, -2\/15, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 2:07 AM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from ykkykknkgggnkknygn.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6106266730 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 102.869+0.1\nAnswer: 102.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43 + 31. Let q(t) = -t**3 - 12*t**2 + t + 17. Let b be q(n). Which is bigger: 6 or b?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1166 + 1976. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffpfpf. What is prob of sequence pf?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -18 + 304\/12 - 7. Put -1\/6, b, -6, -3, -2\/9 in ascending order.\nAnswer: -6, -3, -2\/9, -1\/6, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 11 = -s, 5*s - 3 - 12 = -2*r. Let d(y) = -y**3 + 6*y**2 + 6*y + 4. Let h be d(7). Let b = h - -8. Solve -2*m + z - b = -4*z, z - s = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 82 + -22?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 42a8a3 - 3?\nAnswer: 42a8a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 11357 = s, -4*s + 87*z - 92*z = -45456. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 491 + -32405\/66. Let r(j) be the second derivative of -14*j - 3\/11*j**2 - b*j**4 - 4\/33*j**3 + 0. Factor r(d).\nAnswer: -2*(d + 1)*(d + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18927941 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11268 and 40564800?\nAnswer: 40564800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(90) + (sqrt(90) - (sqrt(90)*-1 + sqrt(90))*2) + sqrt(90))\/sqrt(9))\/(((-2*sqrt(300))\/sqrt(12))\/(sqrt(5) + sqrt(15)\/sqrt(3)*5)))**2*5.\nAnswer: 20250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1645464 (base 8) in base 11?\nAnswer: 2a714a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 35*f**3 + 2*f**2 - 8*f + 6. Suppose -97 - 43 = 4*t. Let b be (t\/21)\/(8\/3 - 3). Is m(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-30) + 68\/510. Let x be (-21)\/(-12) + (-2)\/(-8). Let v be 0 + (x - (-8)\/(-7)). Is v != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12957109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -10*h + 2*h**2 + 1\/2*h**3 - 2. Let w(k) be the first derivative of d(k). Let a(i) = -3*i - 3. What is 4*a(u) + 3*w(u)?\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16477, -66253, -149213, -265357, -414685?\nAnswer: -597197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, v: 5}. What is prob of sequence vvg?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 10 = 4*b, -q + 3*q - 3 = b for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 6*k**4\/5 + 6074*k**3\/5 + 2040094*k**2\/5 + 226756606*k\/5 - 30415916 = 0. Calculate k.\nAnswer: -359, -295, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3670)\/72 - (-116)\/(-4176)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -9*x**3 - 2*x**2 - 1. Let b(g) = 10*g**3 + 3*g**2. Let r(p) = -2*b(p) - 3*v(p). What is the derivative of r(m) wrt m?\nAnswer: 21*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 600\/(-840)*(10192\/200)\/(-14).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*p + 2*n - 54, 241679*p - n + 24 = 241674*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-2) + 1\/2. Let s(r) = r**3 + 4*r**2. Let t be s(j). Are t and -2\/27 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21011021 (base 3) in base 16?\nAnswer: -1462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eyqq when four letters picked without replacement from {q: 5, e: 1, z: 3, b: 1, y: 2}.\nAnswer: 1\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - -37)*(2\/(-8))\/(29\/(-580))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/28)\/((d\/(d**(-3\/5)*d))\/d) assuming d is positive.\nAnswer: d**(51\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7265214380.\nAnswer: 2, 5, 363260719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -22 (b) 41349 (c) -1\/2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -11110100100110001?\nAnswer: -11110100100101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2 (b) 1 (c) -268 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -57885, -116105, -174657, -233541?\n\"Answer: -166*h**2 - 57722*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 3 + (-28 - -34)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y. Let m(i) = -11*i + 10. Let a(f) = -5*f + 5. Let r(x) = -13*a(x) + 6*m(x). Let o be r(-4). Which is smaller: y or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2534*x**3 + 2156*x**2 + 52*x + 52. Let q(w) = 2*w**2 + 2*w + 2. Let d(n) = -26*q(n) + t(n). Find the third derivative of d(l) wrt l.\nAnswer: -15204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + -670898.0106\nAnswer: -670898.1106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 2*s + f, -6*s - 45 = -9*s - 3*f. Suppose p + 0*j = -4*j + 20, 3*j - s = 0. Solve -p*o - 5 = 7 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -14, -5, 399, -4 in decreasing order.\nAnswer: 399, 5, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24.7 - 60.8. Let w = 36 + t. What is the nearest to 4\/3 in w, -3\/7, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3438?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -95*f + 3*f**2 + 2 + 189*f - 102*f. Let x be w(12). Calculate the highest common factor of 26 and x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-22)\/(-24) + (-25 - -24))\/((-6)\/18). Let x be (-6)\/10 + 113\/5. Let h = 156\/7 - x. Which is the fourth biggest value? (a) 0.2 (b) -0.5 (c) h (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10959, -21519, -32071, -42609, -53127, -63619?\nAnswer: -74079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Suppose -6*m + 4*n - 920 = -2*m, -3*n + w = 0. Let g be (-4)\/(-14) - m\/7. Calculate the greatest common factor of g and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 7:58 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 6:50 PM?\nAnswer: 12:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(66) + (sqrt(66)*3 - sqrt(66) - sqrt(66)) + sqrt(66)) + sqrt(66) - sqrt(66))\/sqrt(6))**2.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -28 - -913*288\/(-8448)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 12*g**5 - 2*g**5 + 0*g**5 - g**3 - 2*g**5 + g**3 + (g**3 + 0*g**2 + 0*g**2)*(-g**2 + 5*g**2 - 3*g**2).\nAnswer: 9*g**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus 79049?\nAnswer: 79052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 516*u - 507*u - 81. Solve u = -5*r + 29 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 128 - 133. Let q be 0\/(-7 - c) + 98\/13. Determine u, given that q*u**4 + 8*u - 154\/13*u**3 - 16\/13 - 132\/13*u**2 = 0.\nAnswer: -1, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 596.7559559708.\nAnswer: 597.7559559708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 + 32*p**2 + 92*p + 140. What is i(-29)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*z - 24*z + 12*z.\nAnswer: -34*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(110)*4)\/sqrt(10) - (2*sqrt(11) + 0 + sqrt(11) + -4)**2.\nAnswer: -115 + 16*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + -1 - 2) - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9535 is divided by (-21 - -6) + 10 + 22.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105\/70*(-7)\/6*4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8002260 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a kilometer in meters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**5 + 45852*r**4 - 872001*r**3 + 4131318*r**2 - 7528764*r + 4774536 = 0. Calculate r.\nAnswer: -15303, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7.87 from -6403.\nAnswer: -6395.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 6*t - 21 - t - 9 - 8*t. Let m(y) = -2*y - 20. Let q(c) = 5*a(c) - 7*m(c). What is q(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5 = 0, q + 249 - 22 = 4*f. What is the lowest common multiple of 5 and f?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941 a multiple of 173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 83 (b) 0.1 (c) 1.9 (d) -3 (e) 1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1897029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*5\/(40\/(-1))*52\/(-6)?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159990839 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4 + 430*d**3 - 2426*d**2 - 49486*d + 51480 = 0.\nAnswer: -220, -9, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 AM and 12:38 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 237 + 237 = 0. Determine l so that -2\/5*l**3 + 2\/5*l + z + 0*l**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 5*i - 1, i + 7 = -5*n + 8*n. Let b = 12 + 0. Solve n*c - 4*d - b = 0, 2*d - 3*d = -4*c + 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 63 + -61. What is the nearest to 2 in 1, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 4 - (1 - -9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*d - 3626 = -41*d. Is d a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a**2 - 3*a - 2. Let d(m) = -m**2 - m + 1. Give 3*d(i) - k(i).\nAnswer: -i**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3064 is divided by 75.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -69.02194 - -104.02213. Let v = -35.16 + 0.16. Let p = h + v. What is p rounded to 4 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00092231122 rounded to 4 decimal places?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1498, -9\/19, 59?\nAnswer: -1498","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -242 = -5*b + 68. Suppose -3*g - 57 + 189 = 0. Let t = b - g. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-296)\/18*((-18135)\/(-62))\/(-65)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p - 68. Let f be z(26). Sort 1\/11, f, -2, -5 in descending order.\nAnswer: f, 1\/11, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138959 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18817\/2402 - 2\/3603. What is the common denominator of 69\/26 and f?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001783 rounded to five decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18*-7888.\nAnswer: -141984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 65040?\nAnswer: 65040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**3 - 3*n**3 + 2*n**3)*(2*n + n - 4*n)*(-774 - 2017 + 1339 - 3016) as b*n**4 + r*n**2 + u*n**3 + x + l*n and give b.\nAnswer: -8936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b = 21 - 131. Put b, 4, -5, -3 in descending order.\nAnswer: b, 4, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24025525 (base 6) to base 12\nAnswer: 3022a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -627562.0920546408 + 628613.092055. Let y = m - 1051. What is y rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136501 (base 7) in base 13?\nAnswer: bc92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/885 and -47\/35.\nAnswer: 6195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/2135 or 2?\nAnswer: 18\/2135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -65. Suppose -7*v + 1996 = -z*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**3\/17 + 2292*t**2\/17 - 11538*t\/17 - 32228\/17 = 0.\nAnswer: -1151, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*d**2 - 31*d**2 + 80*d**2.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11957 divided by 8.\nAnswer: 11957\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 0. Let p = -774.97 - -775. What is the closest to 0.1 in t, 0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27505, 27689, 27873, 28057, 28241?\nAnswer: 28425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 557. Determine p(-21).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 5*m**2 - 13*m + 12*m + 22*m**2.\nAnswer: 17*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 35, 82, 147, 230, 331?\nAnswer: 450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from svsoozsvsvvvkkeeokvo. What is prob of picking 1 e, 1 v, 1 o, and 1 s?\nAnswer: 64\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*t + 20338 + 5471 = -1426. Let x be ((-1676)\/3)\/(-4)*-3. Do x and t have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 46.810893 to one dp.\nAnswer: 46.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**(-1\/9)*c*c))\/c*c**(-2\/3) assuming c is positive.\nAnswer: c**(-23\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 3*u - 17 = 0, 2*k - 11 = 2*u + 15. Calculate the remainder when 63 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 + -47. What is the fourth biggest value in -1, -10, r, -2\/5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 411 is divided by 221.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -7*y**3 + 2*y**2 + 2*y - 3. Let r(o) = 28*o**3 - 9*o**2 - 9*o + 13. Let u(c) = -9*i(c) - 2*r(c). What are the prime factors of u(1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 288159?\nAnswer: 3, 96053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/2 + 29*n**4\/8 - 3*n**3\/2 + n**2 + 33*n. Suppose d(z) = 0. What is z?\nAnswer: -3, 1\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -348 - -522. Calculate the highest common divisor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -32*v + 515. Let m be j(11). Is 151 greater than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(4\/5))\/(a\/((a*a**(-2\/7)*a)\/a)))**(-2\/41) assuming a is positive.\nAnswer: a**(-106\/1435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -23. Let u(m) = -5*m - 14*m + p*m. What is the remainder when 13 is divided by u(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 18*(-85)\/(3 - 20). Calculate the highest common divisor of h and 3690.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2482418 and -2482417 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2428760.\nAnswer: 2, 5, 60719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.6 (b) -1.5382 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23, -10, 3, 16?\n\"Answer: 13*g - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -53 - -2?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i + 1. Let w be l(-4). Let u(t) be the second derivative of -t**4\/6 + 7*t**3\/6 - t**2\/2 - 2*t. Let p be u(4). Put p, w, 5 in ascending order.\nAnswer: p, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-5 + (4 - (-5 - 14))).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 95*j + 58*r = 94*j - 63, 2*r = j + 7*r + 10 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 17*t**2 - 13. Let a be y(-3). Suppose -138 = l - a. Solve -l*p - 3 = -p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2 - i - 1. Let b(y) = -y**3 - 6*y**2 - 5*y - 3. Let k = -5 + 6. Let r be (2 + k)\/(-9)*3. Let x be (r\/3)\/(4\/(-60)). Determine x*w(d) - b(d).\nAnswer: d**3 + d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 3\/32, 5, -150, 1\/2, -2\/9 in descending order.\nAnswer: 5, 1\/2, 0.2, 3\/32, -2\/9, -150","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1403 in 0, 3, 8\/7, 1\/5, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -954, -1070, -1188, -1308, -1430, -1554, -1680?\n\"Answer: -n**2 - 113*n - 840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 - 4*o - 4. Let u(d) = 3*d**2 - 12*d - 13. Let s(l) = 3*u(l) - 8*w(l). Let v be s(6). Suppose -v*x + 490 = -0*x - t, 0 = -5*t - 25. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -105*i**3 - i*y**3 - y**3 + 379 wrt i.\nAnswer: -315*i**2 - y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8747.85l to millilitres.\nAnswer: 8747850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9289539 by -3096513.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14100 - -14144. Solve -j = -41*u + 38 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*i**2 + 32\/3*i + 0.\nAnswer: -2*i*(i - 16)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1. Let b(m) = m**2 - 6. Let l(t) = -b(t) + 6*f(t). Let i(u) = -u. Determine l(i(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32353 is divided by 6459?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 172 + -164. Solve 3*u - j = -u + 14, 2*u - j - l = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13b (base 16) to base 6\nAnswer: -1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (102*d + 91*d + 5 - 190*d)*(-4 - 3 + 3 + 3*d**3 + (-d**2 + d**2 - d**2)*(-d - 2 + 2)).\nAnswer: 12*d**4 + 20*d**3 - 12*d - 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o = -19*o + 18 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-3))\/(38 - 36)*-30. Solve w - 196 = -31*d for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 + 2)\/(32\/(-8)). Solve s = -2*v - 2 - 8 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -r**4 + 35915875*r**3 + 3*r - 7212092.\nAnswer: -12*r**2 + 215495250*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12963407 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k - 3*k + 3*k)*(5*k - 5*k + 2*k**2) + 0*k**3 - k**3 + 2*k**3 + 1 - 1 - 3*k**3 + (1 - 1 + k)*(2*k**2 - 4*k**2 + k**2) - 302*k**3 - 3041*k + 3041*k.\nAnswer: -301*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve 47113*q = 47094*q - 152 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g = 2*d - 61, -4*d - 7453*g - 1 = -7450*g for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0, -367.07, 1\/10, 11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 - -1623.89186?\nAnswer: 1623.49186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 + 7*k**2 + 7*k + 11. Let d be (-7)\/(-1)*1 + 1. Let y be f(d). Suppose 3*c + 2*j - 14 + 3 = 0, 2 = 2*j. Solve -y = c*u + 3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (42 + -7)) + 22?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1783 and 349041863?\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-6)*(-3)\/9)\/(1254\/22572).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 o when four letters picked without replacement from {o: 5, s: 1, t: 2, q: 2, u: 6}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-1) - -2 - 65. Let t be 10\/12*(-26)\/l. Let p = 3 + -2.8. Which is bigger: t or p?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - 1. Let j be (-47)\/d + (-4)\/(-14). Sort j, -4, 1.\nAnswer: -4, 1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20 (base 11) to base 4.\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3091829 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/(-119))\/((-72)\/612)*33\/3*2.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3234.239 millilitres in litres?\nAnswer: 3.234239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4616 and 3462?\nAnswer: 13848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-44)\/20)\/(1\/(-5)))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 1698 = -5*s + 2*s, -3*r = -9. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*o - 257 = 14*o + 1239 for o.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -675, -1348, -2021, -2694, -3367?\nAnswer: -4040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 874461 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: Round -0.78044 to 2 decimal places.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 22 - 38. Calculate the lowest common multiple of 44\/8 - k\/6 and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -950700 to the nearest 10000.\nAnswer: -950000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001959907 to 5 decimal places.\nAnswer: 0.00196","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/25)\/n)\/n*n\/n**(2\/29)*n**(-32)*n**32 assuming n is positive.\nAnswer: n**(-746\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 11*n + 76. Is 14 a factor of l(19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in days?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -303 + 13157?\nAnswer: 12854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -589 - -591. Suppose -j = 4*w + 4*j - 3808, 2*w - 1904 = v*j. List the prime factors of w.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -904 - -2737\/3. Let i = -7783\/153 - -497\/9. Let f = i - 1877\/68. Calculate the common denominator of s and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213067293 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 12*q + 38. Let d be t(6). Let m(z) be the second derivative of -4*z + 1\/4*z**4 - z**d + 0*z**3 + 0. Find the first derivative of m(c) wrt c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -2, 4, -449\/3, 3\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1126 - -0.7296. Let v = -33 - -32.963. Let z = x + v. What is z rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-63)\/(-42))\/((-2)\/(-36)). Let d be r\/36 - 93\/(-4). Suppose -6*u + 4*u = -d. What is the least common multiple of u and 14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) -102\/29 (c) -35\/8 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vk when two letters picked without replacement from {k: 3, v: 8}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -193 - 36. Let g = -213 - k. Calculate the lowest common multiple of g and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -21843, -3, 130, -2.\nAnswer: -21843, -3, -2, 5, 130","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from hhhshhsshhhhshsh.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*c + 12. Solve h - 2*h = c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 5*g + 2*g = 21, -g = 3*w + 11. Put -7, w, 3 in ascending order.\nAnswer: -7, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49311889 to the power of 1\/2, to the nearest integer?\nAnswer: 7022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 295129477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.082691 to 4 decimal places.\nAnswer: -0.0827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -34867*n + 1 - 26*n**3 + 34878*n - 28*n**3 to the form c*n**2 + j + h*n + q*n**3 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5060)\/(-40992) - (-103)\/(-824))*-3?\nAnswer: 2\/427","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 502947520 to the power of 1\/2, to the nearest integer?\nAnswer: 22426","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1937 - 7db?\nAnswer: -2334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29606 = g + 5*g - 4*g + 4*d, 0 = 4*d. Does 39 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 104*m - 101*m = -2, 5*w + 4*m = 29 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2107 = -111*n + 109 for n.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2478 divided by -354?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5654 + 5660 + g - 11314.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**2 + 13*a - 9. Give t(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, n: 4, g: 2, q: 1}. What is prob of sequence mnqn?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 100640?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 301718*l**4*u**2 + 4*l**3*u**2 - 571*l*u**2 - 592*l*u - u**2 wrt l.\nAnswer: 3620616*l**2*u**2 + 24*l*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -2 + -6 + 4?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-9)*-2 - (-86)\/(-18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*u - 1130 = 3*u - 142*u for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 2*t**5 + t**3 + 81*t**2\/2 + 6620*t + 2013. What is the derivative of i(j) wrt j?\nAnswer: 40*j**3 + 6*j + 81","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -93, 177, 625, 1251, 2055, 3037, 4197?\n\"Answer: 89*o**2 + 3*o - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - 0. Let y = -21 - -35. Calculate the smallest common multiple of 15\/o - 1\/(-4) and y.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 13*b**3 - b + 7*b**2 + 7. Let s(t) = 9*t**3 - 5*t**2 - 5. Let j(f) = 3*f - 13. Let z be j(6). Give z*m(u) + 7*s(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(27))\/((sqrt(4) - sqrt(64))*-4).\nAnswer: sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -8.7851?\nAnswer: 35.1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 555.162 - 556. Let x = i - -1.487. What is x rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 7*f - 57. Let m be g(7). Let x be (-380)\/(-32) - (0 + 1\/m). Calculate the highest common divisor of 132 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 - -112604?\nAnswer: 112606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 419, 1687, 3801, 6761?\nAnswer: 10567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*a**4 + 35*a**3 + 65*a**2 - 215*a + 120.\nAnswer: -5*(a - 8)*(a - 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = s + 10, -3*a + a = -s + 2. Suppose b = -7 + 1. What is the remainder when (-4)\/b*(-174)\/(-4) is divided by s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2957\/126 - 452\/21. Find the common denominator of a and -2 + 5 - (-39)\/4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1512163471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -438? (a) -1 (b) 2\/3 (c) 0.4464\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, 0, 5, 1\/7?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2930 + 2932. Solve -3*q + l*f + 14 = 0, 5*q - 9*q - 2*f = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 3 (b) -1\/7 (c) -4\/201 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z + 2*k - 17 = 0, -3*k - 3 = 615*z - 610*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-98)\/(-63) - (2 - 0). Let h = -4 + -6.5. Let u = 10 + h. Which is the nearest to 1\/4? (a) u (b) j (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + -1100101001?\nAnswer: -1100100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -22?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 + 93\/7 - (-2)\/(-7). Suppose 13*n - q*n - 36 = 0. Suppose -3*v = -m + n, -4*v = m + 1 + 8. Do m and 2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -2573*w**3\/3 + 3064*w**2 - 2542. What is the second derivative of n(i) wrt i?\nAnswer: -5146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -50*o**2 + 404*o - 4. Calculate the remainder when l(7) is divided by 131.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5393 - 3248. Calculate the highest common divisor of 495 and a.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 10\/(-36)*(-194)\/10 and (69040\/(-5312) - -13)*-202.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1732375078.\nAnswer: 2, 7, 123741077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1223 is divided by 102?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/720 and -151\/1872.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 461129.8l in millilitres?\nAnswer: 461129800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - ((-120 - -50) + 8).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - 12566?\nAnswer: -12554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m\/(m*m\/(m**5*m))*m**1\/m)**35)**(-1\/71))**(-9) assuming m is positive.\nAnswer: m**(1575\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -24*s**2 + 3*s + 4. Let c be x(3). Let y = c + 201. Let b(h) = -3*h**2 - 2*h - 1. What is b(y)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 182 + -88. Let n = 126 + -31. Which is bigger: t or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p and 1 v when four letters picked without replacement from {c: 1, v: 1, p: 4, d: 7}.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -156.8120391 to zero decimal places.\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69236 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 15\/(-10)) + 6\/4. Let p(w) = f*w - 12*w + 8*w + 21*w**2. Calculate the remainder when 53 is divided by p(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*d**2 - d**2 - d - 3*d + 4*d**2 as v*d + i*d**2 + q and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -131, 435, 1683, 3607, 6201, 9459?\n\"Answer: -y**3 + 347*y**2 - 468*y - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 8:08 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(6*sqrt(891)*-1 + (sqrt(891) - (3*(-2 + sqrt(891)) - sqrt(891)))))**2.\nAnswer: -18900*sqrt(11) + 1092375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 100 - -35. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/14 - (-32)\/14. Let m be (-3 + 1 + 0)\/z. Let i = 1 - m. Solve -s + 5 = -i*n, 5*s - 25 = -0*s - 5*n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58.195 - 0.595. Let v = -61.6 + g. What is the third smallest value in v, -0.7, -0.1, 13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 0.46?\nAnswer: 0.046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -572*f + 6334. Let l = -34 - -54. What is the lowest common multiple of n(11) and l?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 4*s - 40 = 0, 12*v + 50 = 9*v - 5*s - 21 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(56)\/sqrt(2) + sqrt(28)*1*1)\/((sqrt(900) - (sqrt(900) - (sqrt(900) - sqrt(900)*1)) - sqrt(36))\/(sqrt(9) + sqrt(9) + sqrt(324)))*-2)**2.\nAnswer: 44800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -37 + 41 - 1*-539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -12\/43 (b) -0.1 (c) -2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/9, 8, -4, 0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10931100 - -595382.\nAnswer: -10335718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139 + 120 - 425 - 113*w.\nAnswer: -113*w - 444","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -137*x + 2012. Determine y(14).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + g**2 + 1. Suppose 7*i - 154 = -105. Let f be -3*i\/(-35) + (-14)\/(-10). Give q(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1138963, -1138991, -1139039, -1139107?\nAnswer: -1139195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i**3 - 20*i**2 - 17*i + 41. Let w be n(-19). Let z(l) = -l**2 - 4*l - 1. What is z(w)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -h**7\/70 + 3*h**5\/50 - h**3\/10 - 6*h. Factor o(b).\nAnswer: -3*b*(b - 1)**2*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 less than -76?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -20. Solve -y*a + a - 9 = q, -4*a + 3*q - 11 = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1143373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 5, -5, 0.037, -20, 0.8?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74 - 72. Suppose 0 = -3*b - 5*c + 29, -m*b + 2*c = -3*b + 8. What is the second derivative of 33*z + 22*z**3 - 21*z - b*z wrt z?\nAnswer: 132*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) + (sqrt(63)\/(1*sqrt(9)))**2 + sqrt(77)\/(3*sqrt(11)) + sqrt(7) - ((sqrt(1715)*1)\/(-3*sqrt(80)))**2)*6.\nAnswer: 665\/24 + 14*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 579\/378 - 1352\/42588. Find i such that 15\/4 + t*i - 21\/4*i**2 = 0.\nAnswer: -5\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m - 1. Let s be f(-6). Let v(y) = -y**2 + y + 1. Let z be v(-2). Let d = s + z. Solve d = 5*u + 2 + 3 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5038652 centuries in months?\nAnswer: 604.63824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzaaazazazazzaaaaz. What is prob of picking 3 z and 1 a?\nAnswer: 70\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -4538, -9266, -13994, -18722, -23450?\n\"Answer: -4728*v + 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -c52 (base 13) in base 9?\nAnswer: -2777","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 502?\nAnswer: 3\/502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 7\/2, 4.4, 1.119, 3\/4 in descending order.\nAnswer: 4.4, 7\/2, 1.119, 3\/4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.4 (b) 3\/79 (c) 5 (d) -2\/3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 50.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(sqrt(12) + sqrt(108)) - (1 + sqrt(11) + 0))**2*6.\nAnswer: 9*sqrt(11) + 345\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 268.\nAnswer: 6700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 123 + 16?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1083, 1, -0.137?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.009 (c) 16\/107 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 78600245, 78600244, 78600243, 78600242, 78600241, 78600240?\n\"Answer: -z + 78600246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 8 = -5*u, -j + u - 1 = -0*u. Suppose j = z + 8. Which is the smallest value? (a) 0.4 (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + j**2)*(-2 + 2 + 2*j**2) + 28*j**4 + 5*j**4 - 10*j**4)*(2*j + 2*j - 2*j)*(3 + 3 - 4).\nAnswer: 100*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59 - -25. Let q = h - -24. Let y be ((-6)\/(-9))\/(5\/(-3)). Which is smaller: q or y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19335, 152967, 515679, 1222011, 2386503?\nAnswer: 4123695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -171939 (base 10) to base 12\nAnswer: -83603","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 708251 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*w**2 - 14*w**2 - 15*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 184 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxhyxhyxyxhxh. Give prob of sequence xh.\nAnswer: 25\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by 6.\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 18*w**2 + 21*w + 41. Let i(x) = -2*x**2 + 2*x + 5. Let d be i(-3). Calculate the remainder when 11 is divided by l(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 3586?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132 divided by 44.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -2 + 55688\/66080. Let s = 3\/413 + m. Let w = 129827\/14 + -9278. What is the common denominator of w and s?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4639712862 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 204*b - 202*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7438.69 litres to millilitres.\nAnswer: 7438690","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2091262346 to the nearest integer?\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1554 a factor of 381963876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.5918 take away -0.2553?\nAnswer: -4.3365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(12\/7)*w**9)**(-1\/6) assuming w is positive.\nAnswer: w**(-25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1749, -1751, -1753, -1755, -1757?\nAnswer: -1759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ic when two letters picked without replacement from ieec?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -4*b**3 - 5*b**2 - b + 6. What is the units digit of f(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptpt when four letters picked without replacement from ppbppbddpppdbttdd.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40807848.\nAnswer: 2, 3, 1700327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r = 6*r + r. Suppose r = -662*c + 655*c + 21. Suppose -b = -4*p - 4*b + 60, -4*p + 3*b + 60 = 0. Solve c*g = p, 0 = 3*y + 4*g - 0*g - 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 9*h + 27. Let p be l(-3). Suppose -4*z - 4*v + 52 = p, 5*z - 15 = -2*v + 35. Calculate the common denominator of (-26)\/z*1\/(9\/(-30)) and -71\/34.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*r - 84, 5*k + 347 = r - 73. Let b be (-4)\/6 - k\/(-9). Let s(m) = -m**2 - 16*m - 19. Does 8 divide s(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 418 * 1.6264\nAnswer: 679.8352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, 272, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10975355219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -73 + 71\/2*v + 1\/2*v**2.\nAnswer: (v - 2)*(v + 73)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/7 + (-6)\/63. Find x such that 5\/6*x**4 - 1\/3*x - 5\/6*x**2 + h*x**3 + 0 = 0.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014 rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -17 - 7. Let n(c) = 9*c**2 - 2*c + 1. Let v be n(6). Suppose -y*z = 2*a + z - v, 0 = -3*z - 15. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6183*r - 6469*r - 2*r**2 + 287 + r**2.\nAnswer: -(r - 1)*(r + 287)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 0 - 3*a - 12 + 5 - 4. Suppose -1 = 2*k + 9. Let y be o(k). Put y, 3\/7, -3 in increasing order.\nAnswer: -3, 3\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o - 3*o + 8. Let l(s) = s - o + 2*s**2 + 0*s - s. Let u(x) = -x**2 + 1. Let r(p) = l(p) + 4*u(p). Let j(a) = -a. Determine r(j(b)).\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -107*s + 192*s - g - 17 + 18 = 101*s + 53, -2*g - 8 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2352 - 167.3352. Let v = 174.284 - 0.284. Let j = v + l. What is j rounded to zero decimal places?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 110 or 107?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-446)\/1338)\/(((-3)\/(-9))\/((-145)\/(-5)))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 953, 1914, 2875?\n\"Answer: 961*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 12:40 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - o - 1. Let d be c(-1). Is -2 + d + 256\/2 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*q + 3 - 8 = 0, 5*r - 4*q = 7. Suppose -3*p - 2*g + 6135 = 0, -r*p + 6144 = -0*p - g. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30 - 44. Let p be 1024\/10 + 2\/(-5). Calculate the common denominator of p\/z*8\/(-12) and -117\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 759640734613 less than 207?\nAnswer: -759640734406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/547 - -19253\/14769. Find the common denominator of c and 83*1\/24 - -2.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 214119 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/9 - 1)*15\/20.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.26 - 0.26. Let k = -14 + h. Let n be (24\/900*-5)\/((-2)\/(-20)). Which is the closest to 0.1? (a) n (b) 4 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((1274\/208)\/49)\/(1 + (-8)\/6)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*p - 18*p + 4*a - 16, 3*p + 15 = a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/872 and (65\/(-12))\/((-2355)\/6594)?\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -15*s - 4. Let x be b(6). Suppose -5*j - 1016 + 351 = 0. Let v = j - x. What is v rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -3. Let m(o) = -8*o**2 - 5*o - 6*o + 5*o + 4 + 4 - o**3. Let y(n) = 2*n**3 + 17*n**2 + 13*n - 17. Let u(j) = g*m(j) + 2*y(j). Determine u(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30320.7 less than -0.1?\nAnswer: -30320.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.21, 4, 1\/4?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1404)\/(-975))\/(4\/(-40)) + 14?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2407 * 25\nAnswer: -6.0175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*c**5\/11 + 30816*c**4\/11 - 492048*c**3\/11 + 2704512*c**2\/11 - 5899104*c\/11 + 4423680\/11 = 0. Calculate c.\nAnswer: 2, 6, 5120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 150*c - 149*c - 2476. What is the highest common factor of 8 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2948724 divided by -27.\nAnswer: 109212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 371 and 8639.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.4 + 4.4. Let k = 2017 + -2015. What is the closest to 8 in w, k, -1\/6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2 + 5 - 37*q - 3 - 179*q**2 + 172*q**2. Calculate the remainder when 83 is divided by p(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(2\/5)*r))**31*r**(-3)\/(r*r**(-1\/2)*r)*((r*r**1*r)\/(r\/(r\/r**0)))\/(r**(-2\/11)\/(r*r**(-6\/11)*r*r)) assuming r is positive.\nAnswer: r**(-1239\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 125723138227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 200345454 - -11?\nAnswer: 200345505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 119\/11064 and -57\/10142?\nAnswer: 121704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156930051?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5448490 less than 43587919\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-4 - 1)) + (-2947 - -2927) - -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 75300002 = 2*h, 41401644 = 2*i - 4*h - 8798360. Suppose 561*z - i = 556*z. What is z rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1480 and 25?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + 6 - (3 + -12 + 0 + -1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-34 - -32)\/(-1*1). Suppose -5*b - 299 = -u*n - 58, n + b - 110 = 0. List the prime factors of n.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + m + 3*m)*(-3 - 2 + 2)*(-132*m - 1 + 5 + 152*m).\nAnswer: -120*m**2 - 24*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 + 5*m**2 - 38*m - 120. What is the tens digit of n(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345034?\nAnswer: 2, 172517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i + 41. Let g(z) be the second derivative of z**3\/6 - 10*z**2 - 90*z - 9. Calculate 5*g(u) + 2*o(u).\nAnswer: -u - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 1 = m. What is the second derivative of 1 + 6*w**m - 1 - 3*w**2 - 3*w wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0\/g)\/(((g**(-10)*g*g)\/g)\/g)*(g**(-1)\/g)**(2\/77))**(-1\/16) assuming g is positive.\nAnswer: g**(-689\/1232)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*5)**2 + (-5*(sqrt(7) + -1) - sqrt(7)) + -5.\nAnswer: -6*sqrt(7) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjttjtj. What is prob of sequence jj?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4932 by -8.\nAnswer: -1233\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*g, 5*y - g = -0*g + 143. Suppose 0 = -j + 3*w + 15, -2*j + w + y = 9. Is j not equal to 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36196.64 litres in millilitres?\nAnswer: 36196640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.43 * 0.4.\nAnswer: -2.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 5*g - 6. Give s(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/3, 4, 3, 21958.\nAnswer: -4\/3, 3, 4, 21958","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 76\/(-570) - 368\/(-60). Suppose z - 5 = 0, -5*z - 7 = 4*v - 5*v. What is the highest common factor of j and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**2\/13 - 10032*r\/13 - 140056\/13 = 0. Calculate r.\nAnswer: -5002, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2109 (base 12) to base 14\nAnswer: -145b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214*n + 3*n = 59*n - 30*n + 16320 for n.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.3 + -5. Which is the third smallest value? (a) 5 (b) -1\/4 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.13, 4, -2, 147\/10?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105, -1414, -4961, -11862, -23233, -40190?\nAnswer: -63849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 - -2.60000035. Round n to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1631735680?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/75152 and 41\/107344384.\nAnswer: 1180788224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 46230\/(-2530) - (-9)\/33?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-2*(-4*(sqrt(704) + 3 + -5 - sqrt(704)) + -1 + (sqrt(704) - (sqrt(704) + -1 + 5)))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 270*p**2 + 1840*p.\nAnswer: 5*p*(p - 46)*(p - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - 5*v - 12. What is x(5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v**2 + 7*v - 6. Let m(t) = -1. Let n(i) = f(i) + m(i). What is n(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 58.3 - 62. Let h = 3.700000782 + o. What is h rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(5) + sqrt(5) + sqrt(5) + sqrt(5) + 2 + sqrt(5) + -3 - (sqrt(20)*1 - -1*sqrt(5)*-6))**2.\nAnswer: 18*sqrt(5) + 406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -9. Solve g = 5*i + 12, -m*g + i + 4 = 3*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -46, 7908, -83 in ascending order.\nAnswer: -83, -46, 7908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s. Let t(m) = m + 4. Give 2*g(r) + t(r).\nAnswer: -r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 18563448 and -5.04.\nAnswer: 18563442.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 122160 and 2460?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -101 - -2b38?\nAnswer: 2a37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 252.8043 years in decades?\nAnswer: 25.28043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**3 - 3*x**2 + 4. Suppose -2*f = 34 + 36. Let v be (-4)\/(-10) - 546\/f. Suppose 0 = -5*j + 1 - v. Determine k(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -46\/1934797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -2*g**5 - 8*g**4 + 186*g**3 - 592*g**2 + 416*g = 0?\nAnswer: -13, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1780917371 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 170*(8736\/420)\/(-104).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/5)\/(12\/(-120)). Let q(k) = -k**3 + 5*k**2 - 4*k + 3. Calculate the smallest common multiple of q(i) and 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - -4. Suppose 3*z + 20 = 2*k, 0 = -2*k - 8*z + 4*z + 48. Calculate the smallest common multiple of k and t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 33, 41, 85, 183, 353, 613, 981?\n\"Answer: 3*h**3 - 13*h + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, 4, 93, 5, -806, 2.\nAnswer: -806, -88, 2, 4, 5, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/4 - (-3)\/2. Suppose -4*i = -12, 0 = -3*n - 4*i - 10 + 28. Suppose n*f + 6 = 0, 6*w - w = -f + 62. Solve 3*l - 5*p + w = 0, -l + j*p = -0 + 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 6, x: 6, f: 4, z: 3}. Give prob of sequence xhx.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486*t + 6259 + 11316 = 523*t. Is t a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/50 of a gram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224049.4 rounded to the nearest one thousand?\nAnswer: 1224000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37574474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 10. Let b be v*169 - 2\/(-1). Suppose -18*k = -15*k - b. Does 12 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**4 + 5*h**4 - 4*h**4)*((-1 + 0 + 0)*(4 + 4 - 6) + (-3 + 2 + 2)*(-28 - 10 + 9)).\nAnswer: -31*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -114, -265, -476?\nAnswer: -747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2669938292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -143160 divided by -12.\nAnswer: 11930","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 + 13*u**2 - 11*u - 45. Suppose 2*s - 21 = 21*o - 24*o, -5*s + 30 = 5*o. What is the remainder when w(o) is divided by 62?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 4:17 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 2*n = -11, -4*u - u - n = -17. Suppose 2*b = l - 1, l = -0*l - 2*b + 5. Solve -7 = 4*v - u*a, -4*v - l*a + 7*a = 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-58)\/18 + 2\/9. Suppose 0 = -0*h + 3*h + 6. Let g(a) = -a**2 + 9*a + 9. Let x be g(10). Put y, h, x in ascending order.\nAnswer: y, h, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -30*r**2 + 5*r - 32. Let x(m) = -10*m**2 + 2*m - 11. Let z(u) = 6*l(u) - 17*x(u). Let k(a) = -a**2 - a - 1. What is 4*k(h) - z(h)?\nAnswer: 6*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, 3, -24077, 41?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 80 - 87. Which is the third smallest value? (a) 2\/3 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 261586, 523399, 785202, 1046989, 1308754, 1570491, 1832194?\nAnswer: 2093857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 3. Suppose -z*k - 1 = -19. Let f(c) = c**3 + 6*c**2 - 7*c + 5. What is the remainder when k is divided by f(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 89 - 89 = -37*k. Let g(r) = -2*r**2 - 2*r + 3. Calculate g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/15*1425\/(-17955).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7591 - -7594. Solve 6 = v*o - 3*x, 0 = -15*o + 14*o - 3*x - 26 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11 and 11051.\nAnswer: 121561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2 + 11*u**2 + 17 + 11*u - 2*u**3 + 0*u**3 + 3*u**3. Let t be z(-10). Suppose -2*s = 3*s - 10. Sort t, s, 3 in increasing order.\nAnswer: s, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678 is divided by 114.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (16\/6)\/(6072\/506)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -0*m - 12. Suppose -12*s = -16*s + 20. Factor -3 - 6*c**4 - 16*c**2 - 5*c**s + 4*c**5 + 9 - 8 - 14*c**m - 9*c.\nAnswer: -(c + 1)**4*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 324856\/84*3\/13. Let h = w + -892. Factor -2\/13 - 4\/13*c**2 + h*c.\nAnswer: -2*(c - 1)*(2*c - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 0*b**2 + 1\/2*b**3 + 0 + 1\/12*b**4 - 2*b. Calculate l(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45505210801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2684815732 to the power of 1\/5, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-1) - (-15)\/(0 - -5). Solve -g*i + 7 = -b, -i + 10 = -4*b + 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that t**2 + 205*t = 0.\nAnswer: -205, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 208051 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3002122 (base 4) to base 5\nAnswer: -344232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32115 to the power of 1\/2, to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) 0.5 (c) -0.128 (d) -68 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 118 = -6*h. Let a = 10895 - 10424. Calculate the remainder when a is divided by h.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2788438633 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2007 - 1961. Calculate the smallest common multiple of 138 and v.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.4 + 1.8. Let y = r - -0.59975. What is y rounded to 5 decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence op when two letters picked without replacement from ooqqppopooppoqoppo.\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a microgram in nanograms?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/6 - 5894*j\/3 - 105849\/2.\nAnswer: -(j + 27)*(j + 11761)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 60 = -0*y. Let f(p) = 99*p - 2623. Calculate the smallest common multiple of f(27) and y.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 14 and -5 - (5 - 154*2)?\nAnswer: 2086","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 164*p - 75*p - 68*p - 42 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 460713993*d**3*h**2*w**2 + 2*d**2*h**2*w - 2*d**2 - 2*d*h**2*w**2 - d*h - 43*h**2*w**2 - 1543*h + 36*w**2 wrt d?\nAnswer: 2764283958*h**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -m - 2. Suppose -3*q = 2*t + q - 166, -m*t = 2*q - 160. What is the greatest common divisor of t and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -802 and -44064\/55 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 15 = -7. Let o be (-20)\/30*(-81)\/(-18). Sort -170, o, d in descending order.\nAnswer: d, o, -170","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28868099, -28868098, -28868095, -28868090, -28868083, -28868074?\nAnswer: -28868063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -99 + 107. Suppose 0*f - f + 2*l + 17 = 0, -4*l = 4*f - 32. Suppose 1 = 2*o - 3*w, o - 3*o + w = -f. What is the greatest common factor of o and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*c**2 + (c - 4 + 4)*(5*c - 4*c + 0*c) + (1 + c - 1)*(-1 + 1 - 2*c) + 20 - 3*c**2 - 20.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -11. Suppose 3*h - 5 = m, 0 = -s*h + 3*m - 6. Which is the nearest to 0.1? (a) -2 (b) 0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -600 - -2?\nAnswer: -5ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7\/5 in -0.2, 5\/3, -2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -334 - -339. Sort c, 2, 4 in decreasing order.\nAnswer: c, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -8, -2\/5, 21, 3 in increasing order.\nAnswer: -8, -2\/5, 3, 5, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 71, 79, 35, -61, -209, -409, -661?\nAnswer: -965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1857837 meters?\nAnswer: 185783.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 21. Let w be d(8). Suppose -3*j + w - 1 = 3*l, -3*l = -5*j - 12. Solve -2*m - 2*y = 0, 3*y = l*m + 13 + 1 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.769912056 to one decimal place.\nAnswer: -4.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 8, j: 2}. What is prob of sequence nnn?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1992, 2939, 3880, 4809, 5720?\n\"Answer: -k**3 + 3*k**2 + 945*k + 1045","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216 - 290 - -76)\/((-1)\/20*1).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3383 is divided by 669.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*i + 2*p - 84 = -62*i, -3*p = -6. Solve -77*y + i*y = -39*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.2866006 decades?\nAnswer: 2.866006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**2\/2 + 427396*p - 2564385\/2.\nAnswer: (p - 3)*(p + 854795)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 957 is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/35 - 2\/7. Let w = 160 - 138.5. Let h = 21.4 - w. Which is the closest to m? (a) h (b) 0.5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-3 - -2)\/(2\/4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + 3*(sqrt(95) - (sqrt(95) - (1*sqrt(95) + sqrt(95)))) - 1*(sqrt(95) - (sqrt(95)*-1 + sqrt(95))))\/(4*sqrt(25)\/(sqrt(720)*-2 + sqrt(5))).\nAnswer: -69*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + 2 + -6 + (-8 - -3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1314144 divided by -3\nAnswer: 438048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/410796 and -109\/33342942?\nAnswer: 200057652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -975*a**2 + 122*a**2 - 168*a**2.\nAnswer: -1021*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 2.8 and -1837.\nAnswer: -1834.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 12 = -0*g + 4*d, -3*g - 2*d = 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 3)*(-3 + 0 + 2)*(-2*d + 3*d + d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -439 + -a67d?\nAnswer: -aab6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-134))\/((-3)\/(-6)). Let a = m - -148\/469. Let k(x) = -124*x - 2480. Let z be k(-20). Does z = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2717 = 3*p, -4*h - 737 - 1081 = -2*p. Suppose -p = -6*x + 877. Is 27 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1\/4 of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 - -1.9. Let m = -0.01 - 0.19. What is the third smallest value in t, m, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 931 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9755 - 9490. Solve 264*m = k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i - 3*i - 5 + 7 + (0 + 0 + 2*i)*(-1 - 5 + 4) + 0*i - 3*i + i - i + 10*i - 2*i to f + m*i and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 1:42 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p - 33. Let r be a(9). Let i = r + 38. Is 14 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 201 less than -1.8?\nAnswer: -202.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**2\/5 - 52056*k\/5 - 572132\/5 = 0.\nAnswer: -13003, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + v + 48. Let z be g(0). Suppose 10*h = 6*h - z. Let d be h*(25\/15)\/(-5). Solve -3*m + 7*m - 4*j = 0, 0 = -d*j for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*g = -166266754 + 166275248 for g.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-48)\/(-32))\/((-3)\/(-12)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 120.9 - 121. Let g be (16\/(-6) - -3)*-2. Let d be (-2)\/(1\/3 + -1). Which is the closest to g? (a) n (b) d (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -351, -8, 14, 82, -1 in descending order.\nAnswer: 82, 14, -1, -2, -8, -351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2 + 9 + h - 9. Let o be b(-13). Let j = 12 + o. Is j at least 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 278\/6 + 8\/(-24). Suppose -6*v - 16 = -y. Suppose v*s - 186 = -11. List the prime factors of s.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 22 = 5*b - 13, -2*o = 2*b - 20. Suppose b*i = 3*t - 12 - 720, -2*i = 2*t - 472. What are the prime factors of t?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a - 344 = -386. Solve -4*x = -5*b + a, 3*x + 3*b + 3 = 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 366*s - 16 - 3700968*s**2 + 3700968*s**2 + 2*s**4 in the form p*s**4 + a*s**3 + b*s + z + i*s**2 and give b.\nAnswer: 366","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let q(p) be the third derivative of -p**5\/5 - p**3\/2 - 69*p**2. What is q(s(x))?\nAnswer: -12*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8792 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6075556*i**2*p**3 - 1553*i**2 + 935*p**2 wrt p?\nAnswer: 36453336*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -1267*f**5\/10 - f**4\/6 + 154*f**3\/3 - 5*f**2\/2 + 3314*f. What is the second derivative of u(p) wrt p?\nAnswer: -15204*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j - 4*j + 10*j - 8*j + 1.\nAnswer: 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 6028*k**2 + 413564*k - 407540.\nAnswer: 4*(k - 1435)*(k - 71)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/151 and -62\/9.\nAnswer: 1359","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -170, 1376, 3950, 7552?\n\"Answer: 514*t**2 + 4*t - 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 3*a + 3. Let k(s) = -6*s - 7. Let i(q) = q - 12. Let z be i(5). Let d(h) = z*t(h) - 3*k(h). Let r(n) = -4*n + 0 + 0 + 3*n. What is r(d(c))?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*v + 18 = 3*i, -3*i + 15 = -3*v. Suppose -17 = -5*o - 4*r - 0*r, 2*o = -3*r + i. Solve -2*u - o*j + 21 = -0*u, 3*j - 15 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 6, 3, -3, 274, -1 in ascending order.\nAnswer: -3, -1, 3, 4, 6, 274","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55067 + -35887. What are the prime factors of w?\nAnswer: 2, 5, 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(2028\/(-420)))\/(26\/(-338)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p - 21. Let w be b(14). Let v be -6*(w\/(-15) - 1). Solve -v = 7*z - 11*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1060\/(-53))\/240)\/(550\/(-20)*4\/20)?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -181158 <= -181158?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 32298404*f\/7 - 130398362618402\/7.\nAnswer: -2*(f - 8074601)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2134*i**3 + 15*i**2 - i - 169087 wrt i?\nAnswer: 6402*i**2 + 30*i - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 19*q + 23. Let f be w(20). Calculate the highest common factor of f and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5490 = -166*l - 2502 for l.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 + 21*p + 23. Let v be m(-20). Suppose 5*t - v = 7. Let l be 2\/(0 - (-1 - -2)). Put 5, l, t in decreasing order.\nAnswer: 5, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19378.\nAnswer: 2, 9689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**3 - 27016*f**2 - 45535360*f + 274185600.\nAnswer: -4*(f - 6)*(f + 3380)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 529\/(-72) - 12\/(-54) and 61\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 435 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 8, w: 3, a: 6, h: 1}. What is prob of picking 1 h and 2 r?\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.016, -2\/5, -1592.\nAnswer: -1592, -2\/5, 0.016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 38 - 10 - 9 + 2*h - 9 - 8. Let b(n) = -n**2. What is b(i(o))?\nAnswer: -4*o**2 - 8*o - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (14 - 1) + 2*-1. Suppose y - 35 = -3*i. Calculate the highest common divisor of 16 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 5, 6, 21, 56?\nAnswer: 117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, -20\/67 in decreasing order.\nAnswer: 1, -0.2, -20\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 20*k - 32. Let w be l(23). Suppose w + 161 = 9*y. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-3))\/((-2)\/3). Let k be (-53 - -3)\/(w\/(-118)). Round k to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -2\/7 (c) 7437 (d) -3 (e) -33 (f) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16306 - -16343) + (1 - -16).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -0.7, 0.2, -10, -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from yfcqqny?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10785 (b) 4\/21 (c) 0.1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (134*r**3 - 19982*r + 19982*r)*(-1970 - 2*r + 3921 - 1993) in the form c*r**3 + p + a*r**4 + i*r + x*r**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/5 of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1213.2 - 1213. What is the nearest to n in 3\/5, -0.1, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p + 4*p - p + (5 - 5 - p)*(0 + 1 + 0 + (-6 + 5 + 2)*(4 - 1 - 2) - 2 + 0 + 1).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*h - 50*h - 156 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -227300115 by -6494289.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11\/((-33)\/2) - 213\/(-9). Let w = 101 + u. List the prime factors of w.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -859 take away 2?\nAnswer: -861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*(15\/6 - 3). Let j(h) = 2*h**3 - 2*h**2 + 2. Let g be j(2). Let q be ((-1)\/(-3))\/(3\/g). Which is smaller: x or q?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - 4*(-130)\/(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -172 - -260. Let p be ((-1)\/(-3) - 1)*-3. Suppose 4*t - 5*c = 221, 4*t = p*t - 2*c + o. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10051 and 422579.\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (30\/525)\/(1600\/336). Is 1 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -24542 - -24546. Solve 4 = -a*f, -201*v + 199*v = -f - 1 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7*10\/(-420))\/((-2)\/(12\/2)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -53ba4 - -139?\nAnswer: -53a67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4200*w + 57 - 137 + 43 + 37 to the form g + f*w and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 0*b + 0*b**2 + 0*b**4 + 4 - 3*b**7 + 0*b**5 + 14\/3*b**3 + 0*b**6. Find the third derivative of s(z) wrt z.\nAnswer: -2520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + -3 + -2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + o = 3*t - 9, 3*o = 0. Suppose 4 = -3*b + 5*f + 22, t*b + 3*f = -6. Suppose -b = v - 5. Let l(a) = -3*a + 3. Give l(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -210 or -209?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1609.8318 milliseconds in days?\nAnswer: 0.0000186323125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + v**3 + 3 + (2 - 2 + 2)*(v**3 + 0 + 0) - 8*v**3 + 2*v**3 + 64*v**3 + 0*v**2 + 0*v**2 - 2*v**3 as s*v + w*v**3 + h + n*v**2 and give w.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**5\/60 - 5*c**3\/6 - 5*c. Let l(p) be the second derivative of y(p). Let s(m) = -2*m**2. What is l(s(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.19 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 655351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3547*g - 7*g**3 - 1764*g - 1778*g - 27*g**2 to the form s*g + f*g**3 + z*g**2 + k and give z.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, k: 2, a: 1, m: 7}. What is prob of picking 1 m and 1 k?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*r + 28*r - 1 = m + 7, 0 = 3*m + 9 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyoy when four letters picked without replacement from yyyoyoyo?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-6))\/t**(1\/7) assuming t is positive.\nAnswer: t**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*s - 164 = 0, -4*v = -5*s - 271 - 382. Is v a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 176660caa - -1?\nAnswer: 176660cab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 20058*p**3 - 17056*p?\nAnswer: 120348*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 65652630 or 262610521\/4?\nAnswer: 262610521\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 6*d**2 - d. Let g be c(6). Suppose -32 = -4*b - 4*j, -5*b + 2 + 8 = -j. Suppose -b = -6*v + 3*v. Sort 5, v, g in descending order.\nAnswer: 5, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide (1 - -2)\/((-6)\/(-20))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26342375 divided by -1\nAnswer: -26342375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 50, -1\/7, 2\/11?\nAnswer: 50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1390665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (5 + -6 - 14\/(-6)) + -1. What is the nearest to 0 in 12, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13971 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 = 44*n - 21 - 22 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the first derivative of -k**5\/60 + 3*k**4\/8 - 5*k**3\/3 - 37*k**2\/2 + 3. Let s(i) be the second derivative of r(i). Determine s(9).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-14))\/(414\/(-483)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 31185985 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/113, -5, 0.5 in decreasing order.\nAnswer: 0.5, -2\/113, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92*g**4*z**2 + 6*g**3*z**2 - 636*z**2 with respect to g.\nAnswer: 368*g**3*z**2 + 18*g**2*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -11*q**3 + q**2 + 4*q + 3. Suppose 0 = -b + 6*b - 2*x - 63, 28 = 4*b + 4*x. Suppose -b = 4*c + 3*n, -c + n + 1 = 2. Is r(c) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -290258857 and -5?\nAnswer: 290258852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s**3 + 277*s**2 + 3*s. Let j(c) = -c**3 + 92*c**2 + c. Calculate -8*j(u) + 3*m(u).\nAnswer: 2*u**3 + 95*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 4*u + 4. Let o be i(-5). What is the highest common factor of 72 and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 176 and 727486120.44.\nAnswer: 727486296.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/80 and 139\/18.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -9. Suppose 3*m + 0*m - 15 = q. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1515 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 AM and 6:56 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -806*n + 758*n = -768 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 144615511 = 2*q, -s + 433846542 = 2*s - 3*q. Suppose -4*a - s + 4215528 = -5*r, 2*r = -6. Round a to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*p - 1 - 4*p - 1)*(1 - 1 - p)*(2*p + 5 + 12 + 7).\nAnswer: -4*p**3 - 44*p**2 + 48*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163730 is divided by 2099.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2159 a factor of 38758368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -681, -1362, -2043, -2724?\n\"Answer: -681*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -2, 2 in ascending order.\nAnswer: -2, 2, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 15, 26*z = 29*z - 2*d - 16. Solve 4*h + z - 6 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 24 = -2*c + 4*c, -5*s - 30 = -2*c. Let i(k) be the second derivative of -2*k**3\/3 - k**2 - 2*k. Let j be i(s). Solve j = -5*y - 3 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*i**3*o + 2*i**3 + 108*i**2 - i - 160966*o - 1206 wrt o.\nAnswer: -6*i**3 - 160966","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 15*b**3 + 100*b**2 - 10*b + 10. What is the units digit of j(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuutuu. Give prob of picking 2 u and 1 t.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-10))\/4 - 110\/350?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -370 in 2\/23, 3, 11, -2, -0.1, -1\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 300 - 287. Find the third derivative of -2 + 21*q**2 + 14*q**2 + 96*q**3 + 14*q**2 - k*q**2 wrt q.\nAnswer: 576","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 k when two letters picked without replacement from rkkkkkkvkkkkkrkvv.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4831 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(i**0*i))\/i)**24)**(-2\/15))**(-2\/17) assuming i is positive.\nAnswer: i**(-32\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*q*u - 4*f**2*u - 148*f**2 + 9*q*u + 2*q with respect to u.\nAnswer: 2*f**2*q - 4*f**2 + 9*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, e: 3, g: 1, h: 1, f: 1, j: 4}. Give prob of picking 1 f and 2 u.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1432, 1417, 1388, 1339, 1264, 1157, 1012?\nAnswer: 823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -5 + -1 + (-31 - -12) + 6?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 189756574 a multiple of 364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2 from -75133395.\nAnswer: -75133395.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 + 4. What is the common denominator of 37\/5 and ((-21)\/(-2))\/(m\/(-12))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**2 + 5528390*x + 77398440 = 0. Calculate x.\nAnswer: -14, 1105692","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2363*s**3 + 102*s**2 - 204*s + 204. Let l(z) = z**2 - 2*z + 2. Determine b(p) - 102*l(p).\nAnswer: 2363*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - (-2 + 10) - -399. Let l = 436 - g. What is the greatest common divisor of l and 105?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 4*t + t**4 - 5*t - 24*t**3 + 22*t**3 in the form z + a*t**2 + j*t**4 + y*t**3 + l*t and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(1\/(16\/(-12))). Let a be ((-4)\/(-1))\/(y\/6). What is the common denominator of 2\/(-84)*339\/a and 21\/20?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d*d**(-11\/2)\/d)\/(d\/(d\/((d\/d**(4\/5))\/d))))**(-1\/7))**(1\/4) assuming d is positive.\nAnswer: d**(37\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -23 - ((-63 - -8) + 55).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1640 + -1640. Which is the biggest value? (a) t (b) 0.02 (c) -2\/493\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-45)\/54*-3*-2*(-12)\/(-90).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 3*c + 5*d = -35, 5*d + 20 = 0. Suppose -42 = -12*l + c*l. Suppose -l = -2*v - 2*b - 0, 5*b = -v - 5. Is 5 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h**(-6\/11)*h*h)))\/h**(1\/10) assuming h is positive.\nAnswer: h**(149\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/3)\/(-7*(-11)\/(-7854)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tbnn when four letters picked without replacement from {h: 1, b: 1, t: 2, n: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5 + -5 + 5*(sqrt(1053) + sqrt(1053) + 1) + -5*2*(2 + 2*sqrt(1053))**2.\nAnswer: -42166 - 630*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18997?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.064 + 557.936. Let g = s - 561.8. Is 4 at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, r: 1, q: 2}. Give prob of picking 2 x.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/((-12)\/(-8)) - (-1032)\/9. Let l = p + -228. What is l rounded to the nearest 10?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n + 4*n - 8*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 749293653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81 + 118. Let g = 500849269 - 500849232.0000019. Let f = g - a. What is f rounded to 6 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 33\/(-88) - 95\/(-40). Suppose -4*a = 0, -5*s - 3*a + 118 + 17 = 0. Find the third derivative of s*f**3 + 0*f**2 - f**w - 28*f**3 wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the first derivative of -14*w**3\/3 + 3*w - 35. Let l(d) = -2*d**2. Determine r(l(o)).\nAnswer: -56*o**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 77769972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 638955 and 1080.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 34*m - 195. What is the thousands digit of o(34)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2712224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tthtttttthtt?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 8*t**2 + 12*t - 19. Calculate the remainder when b(3) is divided by 16.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -3 (b) -38 (c) 3 (d) 0.5 (e) -8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/6 + 1343*l**2\/3 - 235289*l\/6 + 113611.\nAnswer: (l - 82)*(l - 3)*(l + 2771)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3632952 and 2728?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -4*j - 91 + 130, -p - 129 = 35*j for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 59269 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a - 1. Let u(b) = 2*b - 7. Let f be u(5). Let d be 2 - (f - 2) - 6. Let k be m(d). Let h(o) = -o**3 - 6*o**2 - 7. Calculate h(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 895, -1063, -4335, -8927, -14845, -22095, -30683?\n\"Answer: -r**3 - 651*r**2 + 2*r + 1545","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13*1\/(-14))\/(4\/63*(-41445)\/9210).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 2 + 3. Suppose -9 = 2*f - f. Let n be 2\/((-3)\/(f\/33)). Which is the nearest to t? (a) 5 (b) 0.3 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -5.5.\nAnswer: 1.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/23)\/(o**0\/o))\/(o**(-4\/7)\/o**(-1\/3))*((o**1*o*o)**(-6))**(-18) assuming o is positive.\nAnswer: o**(157048\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 10, 155, -3 in increasing order.\nAnswer: -3, -1, 10, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 367852 + -37812. Round t to the nearest 1000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 k when four letters picked without replacement from kpppkppppkppppppkp?\nAnswer: 14\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 52487 a multiple of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 616?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of 3\/2*q**3 + 2*q - 3\/2*q**2 + 1\/2*q**4 + 0 - 1\/20*q**5. Is 4 a factor of l(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16116992 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 6*k - 8. Let h = -0.2 + 1.2. What is the third smallest value in h, -1\/3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(65)*-2)\/(sqrt(25)\/sqrt(80)).\nAnswer: -40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290260 divided by 4.\nAnswer: -72565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*w**4 + 9680417*w**3 + 30579*w**2 + 84 wrt w?\nAnswer: 144*w + 58082502","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4310 - (-3 + 12 + 8 + -11).\nAnswer: 2, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -2\/9 (b) -2257 (c) -5\/2 (d) -1 (e) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j + 3 = -n, -457*n + 4 = -458*n - 4*j for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -17*n**2. Let a(r) = 1218*r - 2. Determine c(a(t)).\nAnswer: -25219908*t**2 + 82824*t - 68","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 16 = 3*x, 2*x = 3*k - 5079 + 5059 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + l - 12 - 9 - 13.\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/(d*d**(-1\/4)))**(-9)*((d**(-6)\/d)\/d)\/d*d\/d**(-1\/7))\/(d**1\/d**(-2)*d**(-3\/4)*d*d**(1\/3)\/d*d) assuming d is positive.\nAnswer: d**(-953\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 1423889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 46, -8 in descending order.\nAnswer: 46, 4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 14 = -2*k, 2*z - 5*k = 29. Solve -15 = -z*m + 7*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4241979131.\nAnswer: 13, 326306087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3967 by -9684.\nAnswer: 3967\/9684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 106*y**2 - 1000*y + 431. Give p(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*y**2 - 10329966*y + 430345108 wrt y?\nAnswer: -42*y - 10329966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(7) + -3 - sqrt(30)\/(sqrt(80)\/sqrt(8)) - (((sqrt(21) - sqrt(525)) + sqrt(21) + sqrt(21))*5)\/(sqrt(112)\/sqrt(4)).\nAnswer: -3 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8*p**2 - 4*p**3 + 4*p**4 + 4*p**3 - 9*p**2 wrt p?\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f + 40 = -2*f. Is 34\/(-3)*(-114)\/f a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*((-51)\/1530)\/(4\/(-10))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 2*a**7\/7 + a**6\/2 - 57*a**5\/20 + 7*a**4\/4 + 3*a**3\/2 + 18*a. Solve z(u) = 0 for u.\nAnswer: -3, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -11\/3*r**3 + 11\/2*r**2 - 2\/3*r**6 + 2 - 7\/4*r**4 + 13\/5*r**5 - 2*r. Let b(x) = 0. Calculate x.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -8. Let n be k + 7 + 0\/(-2). Suppose n*d + 3*r = 63, -5*r + 0*r - 7 = -d. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*((-1*sqrt(170))\/sqrt(10) + sqrt(34)\/sqrt(2)*-3) - (5 + 2*(sqrt(17) - (sqrt(102) + -2*sqrt(102))\/sqrt(6))))**2.\nAnswer: -80*sqrt(17) + 1115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151079?\nAnswer: 17, 8887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 3598917610?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3*j - 4 = -4*j, -3*j + 12 = 0. Let x(c) be the second derivative of -1\/4*c**4 + 0*c**2 - 1\/4*c**3 + l + 13*c - 3\/40*c**5. Let x(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -261, -0.5.\nAnswer: -261, -0.5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/209*-11 - (-170)\/(-60).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in eleven sevenths of a week?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70 + 74. Sort 3, m, -3.4, 0.2 in ascending order.\nAnswer: -3.4, 0.2, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13853283, 13853275, 13853267, 13853259?\nAnswer: 13853251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 - 0\/3) + 2. Find the second derivative of 5*b + i*b**2 - 2*b + 0*b**2 + b**4 wrt b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and 0.1.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -23\/4*i + 5 - 31\/4*i**2 - 3\/2*i**3 = 0. Calculate i.\nAnswer: -4, -5\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 115*p = -139*p + 66*p + 188. Let y be (-21)\/4 + (-2)\/(-8). Is y smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-33)\/(-3)*-2*10\/(-110)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - -1) + (37 - 29)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 5*j**3 + 57145*j**2 + 6337520*j = 0?\nAnswer: -11317, -112, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 9:18 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1392476305 to the nearest integer?\nAnswer: 37316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 54*g + 53*g - 266 = 0, -5*j = 2*g - 263. Suppose 5*c + 7*b - 10*b - 49 = 0, -j = -5*c + b. Suppose 0*h + 20 = 4*h. Solve c = 4*l - h for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.041903321 to four dps.\nAnswer: 0.0419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/(q\/(q*q**1\/q*q))*q)**(-4\/3)\/(q*(q\/(q\/(q\/(q**(1\/4)\/q*q))))\/q)**(-3\/16))**(-31))**(8\/3) assuming q is positive.\nAnswer: q**(30907\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 1055 divide 95885967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -103 + -0.37\nAnswer: -103.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 1 + 0 + (-2)\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x + 29 + 2*x - 4 - 3*x + 19. Give b(14).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -71 - -71. Let i = -30 - -59. Let d = -29.5 + i. Which is the closest to -0.1? (a) -3\/8 (b) m (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 61*i - 120 - 2. Suppose -3 + 9 = -h. Sort -4, -3, h, i.\nAnswer: h, -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuuu when four letters picked without replacement from wmuuuuumumuduuumuum.\nAnswer: 165\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*v = 52*v + 16 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 11*f**2 + 2. Is c(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6.13 + -6. Let o = u + -0.2. What is the second biggest value in -5, 0.4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100101111000100111 + -110111?\nAnswer: 100101110111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/24220?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12525 and 10521?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-8 - -4)) + (15 - 14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -32\/145 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100004 + -1?\nAnswer: 100003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104525325224 + 2?\nAnswer: -104525325222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4214912 centuries to years.\nAnswer: 42.14912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7739.71191 - -0.05503.\nAnswer: -7739.65688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of 2*t**3\/3 - t**2\/2 - t - 14. Let g(s) = -2*s**2 + s + 1. Let m(f) = -f - 4. Let k be m(-7). Determine k*j(d) + 2*g(d).\nAnswer: 2*d**2 - d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10032240523 - 5?\nAnswer: 10032240514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -959*k**4\/6 - 1204*k**3\/3 + 6996*k**2. Differentiate u(w) wrt w.\nAnswer: -3836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -761924.372259 + 761924. Round f to two dps.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*n = 59*n - 2808 for n.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**3 - 11*l**2 + 10*l + 8. Let o be x(10). Let u = o + -3. Sort -4, -3, u in decreasing order.\nAnswer: u, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 13 = 3. Sort s, -2, 2 in ascending order.\nAnswer: -2, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.557768 litres in millilitres?\nAnswer: 6557.768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77, 174, 287, 422, 585?\n\"Answer: n**3 + 2*n**2 + 84*n - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9222 and 1712748.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k - 38*k - 9*k. Let a(j) = 11*j. Let l(p) = -9*a(p) - 2*c(p). Let h(v) = -96*v**2. Determine l(h(q)).\nAnswer: 96*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 475799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142 + -131.1. Let z = w - 11. Let q = 2.05 + -0.05. Which is the second smallest value? (a) -2\/11 (b) z (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 245904 divided by 5.\nAnswer: 245904\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-192)\/1632 + 36\/17 + 1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 67.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 3413*x**4\/2 - 4*x**3\/3 - 13*x - 2652. What is the third derivative of d(z) wrt z?\nAnswer: 40956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 4*o**5 + 24*o**4 - 304*o**3 + 744*o**2 - 468*o = 0.\nAnswer: -13, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.407131 to 1 dp.\nAnswer: 14.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of n**4\/6 + 12*n. Let z(p) = -44*p. Determine z(d(w)).\nAnswer: -88*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -795973 or 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-four fifths of a centimeter in millimeters?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 17 - 33. Let f be 3\/(-6) + n\/4. Suppose -f*t = -0*t - 6. Solve 0 = l - i - 4, 8*i - 20 = -5*l + t*i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 5*g - g**3 - 3*g - 3*g**4 + 8*g to the form m*g**4 + z*g**3 + c + n*g**2 + j*g and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/13, -0.21, 45182, 0.4.\nAnswer: -0.5, -0.21, 2\/13, 0.4, 45182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - -1*(0 + -3). Let a = n + -9. Let f = a + 29. What is the greatest common divisor of f and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -31 or -12\/377?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -3*h - 3, -2*h = -0*s + 4*s + 2. Which is bigger: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 + -1. Let o = 3 + z. Let d = 2.22 - 1.82. Put o, 2\/7, d in descending order.\nAnswer: o, d, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*u = -77*u - 861 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -4 - (-9 - 1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*k**4 - 7550*k**3 - 9755*k**2 - 2170*k = 0. Calculate k.\nAnswer: -1, -2\/7, 0, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 9 = 4*r. Solve r*f + 5*z + 5 = 0, 3*z - 29 = -2*f + 6*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67239626.\nAnswer: 2, 23, 1461731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 521564 and 19190?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.3 and -12640662.\nAnswer: 54354846.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -95 and 200.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*q - 1 + (0*q - 2*q + q)*(0 - 3 + 2))*(-246*q**2 + 102*q + 202*q**2 - 89*q).\nAnswer: 44*q**3 - 13*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 5:47 PM?\nAnswer: 5:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2003 divided by -1\nAnswer: -2003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -111489600 rounded to the nearest 100000?\nAnswer: -111500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14525 (base 7) in base 4?\nAnswer: 333011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 40 + (23 - ((31 - 13) + 18)) + 11 + -1?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/4 and -36\/8638913?\nAnswer: 34555652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5*w - 29 = 0, 11*w - 9*w - 2 = 0. Suppose 5*z - 3 = -2*l - n, 2*l + 2*z = 0. What is the lowest common multiple of l and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 2459 - 57041 = 0. Round l to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b + 0*b + 49*b**3 - 25*b**3.\nAnswer: 24*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 193, 407, 751, 1225, 1829, 2563, 3427?\n\"Answer: 65*y**2 + 19*y + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-9 + (-4 - -2 - -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14183*o - 2684*o + 1173*o.\nAnswer: -15694*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -651 + 26*d - 650 - d**3 + 1301 - 26*d.\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x - 2*x - 20. Suppose 5*b = 90 + x. Suppose b + 46 = 3*k. Does 22 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2330854 - -0.13691469. Let h = -0.37 + k. What is h rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(720) + sqrt(720) + (-2 + sqrt(720))*3 + -3 + -4 + sqrt(720) + 6*(2 + sqrt(720)))**2.\nAnswer: -288*sqrt(5) + 103678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15.97 + 16. Let h = -0.37 - u. Sort 3, -1\/5, h in decreasing order.\nAnswer: 3, -1\/5, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13.6 in -4, -1\/8, 6\/11, -3?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 21 - (4 + 14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 16047333 (base 8) in base 10?\nAnswer: 3690203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wtwwwtwwwwwt. What is prob of sequence wt?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2057 - 0.0899. What is g rounded to three decimal places?\nAnswer: 0.116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**4\/6 + 2*y. Let i(k) be the third derivative of 0 + 0*k**3 + 5*k**2 + 1\/30*k**5 + 0*k + 0*k**4. Determine i(z(o)).\nAnswer: 8*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 4*s**2 - 12*s + 1. Let a be u(6). Let v be ((-1)\/3)\/(2\/6). Let f be ((-54)\/(-21) - a) + v. Is 1 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.53598 kilometers to nanometers.\nAnswer: 84535980000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10 and 4156986.\nAnswer: 20784930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x - 5. Let a be i(7). Let f(d) = d**2 - 7*d + 8. Let y be f(6). Let g = a + y. Solve 0 = 5*r - 6 - g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9269?\nAnswer: 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + 4)\/((-4)\/(-22)). Let b = j - 71\/2. Let g = 461 - 457. Sort b, g, 2 in descending order.\nAnswer: g, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4760 + 5*z + 4755 + 4760 + 4756 - 23781 + 4750.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 79*b**2 + 146*b - 1245. Calculate g(-81).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 44\/427775?\nAnswer: 44\/427775","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.938 - -0.062. Which is the third smallest value? (a) 0.5 (b) 2\/3 (c) i (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(7) + 2)) + sqrt(7) + -2 - sqrt(7)) + (sqrt(56)\/sqrt(32) - sqrt(7))**2.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.149, -3\/2, -0.16538?\nAnswer: -0.149","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 586830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -782 - 1125 = -14*n - 647. What is the remainder when 6117 is divided by n?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = r - 15, 4833 = 2*r + 4827 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 93*f**2 - 166*f - 21. Let v be x(12). What is v rounded to the nearest one hundred?\nAnswer: 11400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3\/70 - 1741\/210. Let q = x - -122\/15. Calculate the common denominator of q and -38\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/397537 and -34\/20923?\nAnswer: 397537","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5702?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + (-2 - 2287)\/(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 + 2 + 0)*(-2*r + 1 - 1) + 2 - 2*r - 2 + 5*r + 4*r + 0*r)*(0 - 2 + 4)*(5 + 1 - 4) to s*r + i and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 4. Suppose c = -4*i + 13*i - 1107. Which is bigger: 122 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -19*o - 34. What is the remainder when 335 is divided by g(-4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/16 and ((-2)\/3)\/(200\/1245).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((0 - -2) + 1)*3. What is the third derivative of -10*y**2 + j*y**4 - 9*y**4 - 8*y**4 wrt y?\nAnswer: -192*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 d when four letters picked without replacement from {d: 3, q: 4, p: 9}?\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t - 3. Let v be q(3). Suppose -10*i + 4*i + 126 = v. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -217.41.\nAnswer: 434.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -p**5 + 0*p**5 + 4*p**5 + (0*p**4 + 2*p**4 + 0*p**4)*(1 - 2*p - 1) + (0 - 2*p + 0)*(-p**4 - 1 + 1)*(14 - 6 + 15).\nAnswer: 45*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbh when three letters picked without replacement from {j: 6, i: 3, h: 7, b: 1}.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -5 + 3 + 3*i + i**2 - 2. Let s be p(-6). Suppose -s = -2*f + 2. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204974519 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together -113.6 and -9591.\nAnswer: -9704.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5196284, 5196279, 5196272, 5196263, 5196252?\nAnswer: 5196239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3*(-21)\/(-14))\/((-6)\/80). Let n be ((-2)\/52)\/((-15)\/g). Put 0.1, n, -2\/7 in increasing order.\nAnswer: -2\/7, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*i - 40 - 4, -4*m = -5*i + 17. Let w(j) = 3*j**2 - 9*j + 22. What are the prime factors of w(m)?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 10340976?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 7 + 3 + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 - (4\/(-21)*-3)\/(255\/((-303450)\/68))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:29 PM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 94408.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -34 - -37. Put -4, -2\/9, n in decreasing order.\nAnswer: n, -2\/9, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.025 * 28.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2.9. Let k = 64 + -62. What is the closest to 1 in k, -3, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 164, 175, 190, 209, 232?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -8. Find the third derivative of -5*h**c + 7*h**2 - 23*h**4 + 5*h**2 + 14*h**2 wrt h.\nAnswer: -672*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/130 and -16\/7631.\nAnswer: 76310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 14*z**3 + 6*z - 2. Let y be 0 + 2 + -2 + -5. Let u(x) be the second derivative of -9*x**5\/20 - 2*x**3\/3 + x**2\/2 + 2*x. Determine y*g(d) - 8*u(d).\nAnswer: 2*d**3 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*j**4 - 75*j**4 + 55*j**4 + (-3 + 2 + 2)*(0*j**2 - 2*j**4 + 0*j**2).\nAnswer: 19*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4530900 divided by 205950?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 370 is divided by 59?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1157490 a multiple of 270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 114 = -89. Let i(b) = b**2 - 7*b + 6. Let q be i(7). Let t = q - 2. Solve 0*r = -4*o + t*r + 4, 3*r - z = -5*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 - i. Let j = 4 - 5. Let s(y) = y**3 + y**2 + y. Let z be s(j). Let k be w(z). Let b(v) = v**2 + 2*v + 1. What is b(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.98 + 2. Let r = 2.6 + 0.38. Let w = r + x. What is the second biggest value in w, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t + 0 + 0 + (-3*t + t + 4*t)*(3 + 1 - 2) + (-3*t + 2*t + 0*t)*(4 - 1 - 2) - 10*t - 12*t - 8*t.\nAnswer: -29*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 690332 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.115332 rounded to two dps?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2968964l?\nAnswer: 296.8964","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000002346 rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + f**2 + 6*f + 2*f**3 - 10*f + 0*f**3 - 3 to the form d*f + u + p*f**3 + i*f**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1115*v + 0*v**2 + 12*v**2 + 53*v + 1 + 1.\nAnswer: 12*v**2 - 1062*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -1267*k**4\/6 - 303*k**3 + 1749*k. Find the second derivative of i(h) wrt h.\nAnswer: -5068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 1110598.\nAnswer: 111059.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16 - 23. Let o be 7\/1*(-2)\/y. Suppose -o*n = -4*h - 138, 0 = 2*n + h - 86 - 42. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 31458569?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -936, -937, -958, -1011, -1108, -1261?\nAnswer: -1482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73509 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.03 and -26.\nAnswer: -0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/648 and (-8)\/(-28) - 505\/(-756).\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1470512347460 + 2.14.\nAnswer: -1470512347457.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -28, 2446 = -5*f - 8*s + 2512 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -6183, -4, -12, -1, 3 in descending order.\nAnswer: 3, 1, 0, -1, -4, -12, -6183","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -138.68 * 6299.\nAnswer: -873545.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 33 + (-5)\/(5\/4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 278767.8mm to meters.\nAnswer: 278.7678","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18518, 18519, 18520, 18521, 18522?\n\"Answer: k + 18517","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 3, -2\/11, 66\/25?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (4 + -2)) + (22 + -11 - 16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (14\/2 - -7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 1.2 (b) -16 (c) -0.06 (d) 0 (e) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83*d**2 + 54*d**2 + 85*d**2)*(-d**3 - 2*d + 2*d) - d**5 + 3881*d**3 - 3887*d**3 - 6 + 2*d**5.\nAnswer: -221*d**5 - 6*d**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2 + p**2 - 3 - p + 3*p**3 + 2. Let k be n(1). Suppose r - k*q - q = 24, 3*r = 2*q + 20. Does 4 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1277857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i + 4*i**2 + 127 - 4*i - 2*i**2 - i - i to the form j + c*i + v*i**2 and give j.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -35 divided by -11562\nAnswer: 35\/11562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 2332.\nAnswer: -23320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 31*q + 53. Suppose 10 = -3*x - 11. Let h(r) = r**2 - 16*r + 26. Let j(a) = x*h(a) + 3*m(a). Is j(17) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wf when two letters picked without replacement from wfaaa?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 4*h**2 + 3*h + 2. Determine t(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in 0.1, 4.8, 5, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**5*l*l*l)\/l*(l**1*l)\/l*l)**(-1\/6)*(l**(-3)\/(l*l**(-7\/2)))**(-43) assuming l is positive.\nAnswer: l**(119\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1526 = 222. Suppose 3*f + 2*f - 3*z = 855, -4*z = 4*f - i. Is f a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -864 by 206.\nAnswer: -432\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6408)\/(-20470) - (744\/(-92) - -8).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*1\/(4\/4)*11?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34200 + 43004?\nAnswer: 132204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1496?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19652, 74802, 166724, 295424, 460908, 663182, 902252?\n\"Answer: p**3 + 18380*p**2 + 3*p + 1268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (0 - ((-288)\/(-44))\/3).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 0*q**2 + 7*q + 0 + 4\/3*q**4 - 5\/3*q**3. Find the second derivative of b(r) wrt r.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 4*i**3 - 3*i + 191. Let g(x) = -2*x**3 + 2*x - 191. What is -2*a(z) - 3*g(z)?\nAnswer: -2*z**3 + 191","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 89 = -4*s, 3*o + 25 = -2*s - 36. Does 3 divide (-246)\/(-78) + 4\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 + 3 - 3 + (0 - 2*t**2 + 0)*(-7 + 6 + 8) + 3*t**2 - t**2 - t**2 - 2*t**2 - 5*t**2 + 2*t**2.\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k = 13 - 29 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -0.4, -0.2, 0.01?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -716939*z + 716939*z + 5*z**2.\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1381*z - 24056 = -35104 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 5*m - 4. Let z be f(-1). Let h be z\/((12\/(-42))\/(9\/(-21))). Solve -4\/7*r - 16\/7*r**4 - 8\/7*r**2 + 0 + 4*r**h = 0.\nAnswer: -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/96)\/(1\/2*(-28)\/6).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = -v + 15. Suppose -4*t - 91 = -5*m, 3*m - 40 = m - 2*t. Suppose 0*w = w - m. Solve -g = -5, -v*k = k + 5*g - w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 5:37 AM?\nAnswer: 3:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nw when two letters picked without replacement from nwnwggcwcnccnncwnggw.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u + 4. Let b be j(-7). Let p = -13 + b. Let d be 2\/(-8) - (-12)\/p. Is -1 != d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hcc when three letters picked without replacement from hccgkhkhchhkc?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -204103431331 + -2?\nAnswer: -204103431333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 2\/5, 11, 216, -3, 114?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-456)*-1)\/(11\/(-44)).\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -3 - -16 - 8?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2*p = 0, -3*z - 5*p = -p for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 2*t - 5. Let f be b(6). Let g = f + 47. Is 9 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 116320610*a**3 + a - 34441875.\nAnswer: 348961830*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**3 - 34*t**2 - 989*t - 5565. Determine z(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 34, 54, 92, 154, 246, 374?\nAnswer: 544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*b. Let n(i) = -i**3 - i + 5. Let c be n(b). Suppose -2*w = -3 - 21. Solve w = c*t + 2 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, b: 3, e: 8}. What is prob of picking 2 b and 1 e?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 8*w + 5. Suppose -5*v + 5*q = -4 + 69, -3*v + 5*q = 49. Let a be p(v). Solve 20 = -5*b + a*u, -7*b - 18 = -3*b - 2*u for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 224654?\nAnswer: 2, 112327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/182, 10, 5 in descending order.\nAnswer: 10, 5, -3\/182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 - 52. Let z(n) = -n**2 - 218*n + 1320. Let y be z(6). Is m > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*r + 81 - 224, -4*r = 4*s - 164. Let b be (3 - 12\/3) + 42\/s. Is b smaller than 1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 68 = 4*a - 16, -u = 3*a - 26. Solve t = -3*t - u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -259071243 + -150.\nAnswer: -259071393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of -2*r**3\/3 + 2. Suppose 7 - 397 = -6*q. Let c(f) = 60*f**2 + q*f**2 - 129*f**2. What is c(v(p))?\nAnswer: -16*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3 + 24735*t**2 - 197733*t + 370665 = 0. What is t?\nAnswer: 3, 5, 8237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (8 + -8 - -8)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -1\/3, 93, 1\/6, 2, 0.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25307*g - 12672*g - 12653*g.\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 1, 4\/5, -1, 0.4, -1377\/14, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -16*w + 24. Let j(m) = -3*m + 5. Let v(f) = -24*j(f) + 5*q(f). Calculate v(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*4.51.\nAnswer: 13.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 7*i - 108. Solve 5*j = 5*d + 29 - i, 2*j = -d + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -629 greater than or equal to -17011\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 7:30 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113908*r**3 + 56849*r**3 + 57057*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9651.716t in grams?\nAnswer: 9651716000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 638.8205 centuries?\nAnswer: 766584.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 874 = 3*g + 853 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1102 + 1438. What is the least common multiple of y and 72?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-five quarters of a day?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 3*c - 59. Suppose -c = -3*z + 4*f, 0 = -f + 6*f + 10. Let s(h) be the second derivative of h**5\/20 - h**3\/2 + h**2\/2 - 2*h. Determine s(z).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.88 and 0.015267173.\nAnswer: 0.895267173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 1. Let x(u) = 3*u - 6. Let p(v) = 6*o(v) - x(v). Calculate p(-5).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 + 168*q**2 - 752*q - 40849. What is k(-171)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -520.54298 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 2)*(0*s + s + 0*s) + 5 - 5 + 3*s + 0 + s + 0)*(2 - 4 - 3)*(-s + 5*s - 5*s)*(-3 + 5 - 1).\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(18\/(-3)))\/(2\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bj when two letters picked without replacement from jbdjdydjdzdddyjddby.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the third derivative of v**4\/24 + v**3\/6 - 5*v**2. Let h = 1 - 1. Let j be z(h). Put -1, 5, j in increasing order.\nAnswer: -1, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 (base 14) in base 5?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 + 9*p + 9. Let r(v) = v**2 + 4*v + 4. Suppose -b - 1 = 2, -4*b = -3*y + 39. Let m(z) = y*r(z) - 4*g(z). Let h(c) = 7*c**2. What is m(h(w))?\nAnswer: -147*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*y + 68*y - 1592 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134 - 48. Let j = -51 + c. Let 55 - 196*t - 59*t - 200*t**2 - 107*t**3 + j + 72*t**3 = 0. Calculate t.\nAnswer: -3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -0*o - 3*s - 109, -5*s + 5 = o. Let n be (1\/(o\/16))\/2. Is n < 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-7 - -1)\/(6\/3). Calculate the common denominator of f - (483\/(-54) + 0) and 23\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/5*r - 16\/5 - 1\/5*r**2.\nAnswer: -(r + 4)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**2\/2 - 10*s + 1. Let b be f(-5). Let j = 13 + b. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 + 5*k + 5. Let t be v(5). Suppose 2*d - d = -t*l + 13, -3*d - 18 = -4*l. Solve -b + 2 - 12 = 3*n, -2*n + l*b - 3 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 46.47987 grams?\nAnswer: 0.00004647987","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12474 and 132678?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70200\/7 - 10028. Put 1\/4, -13\/5, 4\/5, d in increasing order.\nAnswer: -13\/5, 1\/4, d, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f**5 + 7654783*f**3 + 6*f**2 + 1029*f + 6519 wrt f.\nAnswer: 60*f**2 + 45928698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 5) to base 9.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 - -2*(-2)\/(-4). Suppose 3*l = -j*q - 6, 3*q + 0*q + 2*l + 2 = 0. Solve 5*n = -2*d + 27, d - 24 = -5*n + q*d for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 510 - 505. Let n = -2.7 - 0.3. Let o = n + 3. Which is the closest to o? (a) 0.4 (b) -0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 990 - 6305 = 0. What is the thousands digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (3 - ((1 - -1) + 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1040*f**2*v**3 - 2459*f**2*v**2 + 57761*v**3 - 2*v**2 - v wrt f.\nAnswer: 2080*f*v**3 - 4918*f*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + sqrt(432) + (sqrt(432) - (sqrt(432) + 0)) + 1)**2 + 4 - (-2 + 3*sqrt(432)*1)**2.\nAnswer: -2159 + 192*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oorwrrrooro. Give prob of sequence ro.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -14759 (b) -3\/2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-29*c + 12*c + 13*c)*(-14 - 9 - 4)*(-5*c + 6 - 6) as b + u*c**2 + n*c and give u.\nAnswer: -540","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - 4*m + 57. Calculate the remainder when 2409 is divided by c(-7).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1084 + 16*j + 30*j - 1085 - 10*j in the form w + h*j and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from hnffffnffffhnffffnfh?\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 330015 (base 8) to base 9.\nAnswer: 177644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 15) in base 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4*(-10)\/48*-6. Solve t + t + s + 3 = 0, -h*s - 15 = -t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 15035 = -4*n, -4*z = -n - 3998 - 8019. Does 11 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of 389*g**6\/120 + 403*g**4\/4 + 42*g**2 + 30*g. Find the second derivative of t(l) wrt l.\nAnswer: 2334*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, m: 2, s: 3, w: 7}. Give prob of sequence ws.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**3 + 46*p**2 - 35*p + 1589. Determine k(46).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 38. Let n be 16\/12*c\/(-8). Suppose 2*i - 2*f - 21 = -f, 5*f = n*i - 17. Solve -5*g + 14 = -i for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1075446531 + 4?\nAnswer: -1075446526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2386173841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004306239 rounded to four decimal places?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of -x**3\/12 + 27*x**2\/8 + 158. Factor j(k).\nAnswer: -k*(k - 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 14*z. Let n(v) = 5*v. Let k(q) = -6*c(q) + 17*n(q). Let p(y) = -12*y - 1. Let j = -2 - -3. Let f(o) = j*p(o) + 5*k(o). What is f(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -347 + -546900?\nAnswer: -547247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 103 = 5*p, -6*v = -2*p - 66 - 44. Let i(d) = d**3 - 6*d**2 - 6*d - 6. Let k be i(7). Let h = k - -19. Which is smaller: h or v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17447813 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 0.1, 3, 2.1455?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 37983576 and 408?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 8:07 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 30 = 3*k, 0 = -2*k - 5*b + 4*b + 7. Sort -2, k, 8, 6 in ascending order.\nAnswer: -2, k, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 251? (a) 4 (b) 4567 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1182 and 1562998?\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**6\/20 - 13*v**5\/60 + 13*v**4\/24 + 11*v**3\/6 + 667*v**2. Let u(w) = 3*w**3 - 6*w**2 + 6*w + 5. Determine 6*r(d) - 13*u(d).\nAnswer: -3*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 14*f**2 + 5*f + 12. Let n be l(-8). Suppose p - 4*q = 358, 0 = -3*p + q + 173 + n. Is p a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1489 = i + 1553. Sort 1, i, 2 in increasing order.\nAnswer: i, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27352683 and 81.\nAnswer: 246174147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16586 is divided by 2410?\nAnswer: 2126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4124406ml in litres?\nAnswer: 0.0004124406","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 596*n + 19 - n**2 - 596*n to g + j*n**2 + l*n and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -0.2 (b) 12 (c) -2\/9 (d) -2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**3 + 45*v**2 + 15*v + 228. Let w be d(-15). Solve -4*p - 7 = -w for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -77484*v**4*x**3 - 2*v**3*x**3 - 433*v - x**3 + 5*x**2 wrt v?\nAnswer: -929808*v**2*x**3 - 12*v*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y + 6. Let h(c) = 2 - 3 - 37980*c + 37979*c. Give -h(f) + q(f).\nAnswer: 2*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8028918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*d - 602009, -4*d - 191871 = 4*t + 410117. Round d to the nearest 10000.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17679 + 17675. Suppose 4*o - 4*w = -48, 0*o + o = -3*w - 32. Sort 4, -5, o, m in increasing order.\nAnswer: o, -5, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -p**5\/4 + 35*p**3\/2 + 3*p**2 + 5. Find the first derivative of o(i) wrt i.\nAnswer: -30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 + 2*d**3 + 0*d**2)*(3*d - d + d) + 0*d**4 - 5*d**4 + 2*d**4 + (d**3 + 5*d**3 + 11*d**3)*(-6*d + 5*d - 14*d)*(3 - 2 + 0).\nAnswer: -252*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14717887829 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 + 19*x - 33. Determine v(13).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -55, -85, -129, -193, -283, -405?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**5\/3 + 28670*l**4\/3 - 285962*l**3 - 1973874*l**2 - 3089880*l = 0. Calculate l.\nAnswer: -3, 0, 36, 14305","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -67 + (-6 + -18 - -29) - 11 - -3.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39661299 and 157731.\nAnswer: 3219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*x - 11*x + 4. Suppose 0 = -4*w + 3*k + 108, 3*w - 70 = x*k + 18. Let c = 42 - w. Does 9 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 0*p + 0 - 2\/945*p**7 - 1\/540*p**6 - 1\/1512*p**8 + 0*p**4 + 0*p**5 + 0*p**3 - 4*p**2. Solve m(k) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202 = 4*s + 74. What is the remainder when s is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3303 (base 4) to base 10\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 236 divided by 6\nAnswer: 118\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of -7*k**6\/30 - 101*k**3\/6 - k**2\/2 + 1870*k. Find the first derivative of h(t) wrt t.\nAnswer: -28*t**3 - 101","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102)*1 + sqrt(102))*4)\/(-5*-2*sqrt(6)).\nAnswer: 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -6*b - 4. Let o be ((-1)\/((-2)\/(-2)))\/(1\/2). Calculate f(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 + 6*c + 2. Let f be o(-6). Suppose -58 - 16 = -f*x. Let q = -32 - -51. What is the remainder when x is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14977272.\nAnswer: 2, 3, 17, 36709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*u - 1)*(1 + 1 - 5) - 5 + u + 0*u + 2.\nAnswer: 7*u - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13899?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -6.04. Let d = p + 3.96. Which is the second biggest value? (a) -0.5 (b) d (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -85*v - 1. Let j be l(3). Let m = j + 442. What are the prime factors of (4\/(-8))\/((-3)\/m)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2477100 a multiple of 276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-177)\/118 - (-2)\/(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -d51 (base 16) to base 3\nAnswer: -11200021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 501*n**3 + 63351*n**2 + 495545187 wrt n?\nAnswer: 1503*n**2 + 126702*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6571 divide 2169540499?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2\/2 - 5040526*g + 12703451178338.\nAnswer: (g - 5040526)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 + 16*g - 22. What are the prime factors of k(11)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4000 and 8258000.\nAnswer: 16516000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-2))\/((-669375)\/(-10710))?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s**2 - s**2 - s**2 + (2*s + 0*s + 4*s)*(0*s + 0*s + s)*(2 - 2 + 2).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 220*q - 133*q - 101*q. Let r(f) be the second derivative of -f**3\/2 - 2*f. What is r(o(v))?\nAnswer: 42*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 57 - 56.85. Let k = 0.35 - m. Let g = 2 + -6. Which is the second biggest value? (a) k (b) 2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 13. Suppose 0 = 3*l + 3*c - 8 - 13, 0 = 2*l + 3*c - 19. Suppose -l*s = 7 - 1. Put s, 0, v in increasing order.\nAnswer: v, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 - 5)*(-l - 2 + 2)*(-4 + 5 + 0) + 2*l + 0 + 0 + (5*l + 10 - 10)*(1 - 6 + 2) + 3*l + 2*l - 4*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-27)\/6 - 360\/240. Let n(c) = -9*c + 16. Let x(u) = 26*u - 47. Determine p*x(l) - 17*n(l).\nAnswer: -3*l + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 594 = 16*k + 610 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -8, 7 in descending order.\nAnswer: 7, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 - 8. Let f be (-3)\/(-5) + (-72)\/(-30). Suppose f = -x - 1. What is the closest to 1 in x, 1, w?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 84*p.\nAnswer: -84*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 10*b**2 + 11*b + 4. Let j be d(-11). Suppose -5*o + 73 = -a, 4*a - j = -5*o + 79. What is the remainder when 116 is divided by o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24\/5465 - 5561\/21860. Let d be (30\/16)\/((-51)\/(-4)). Let i = 271\/238 + d. Which is the biggest value? (a) i (b) y (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5101, 10076, 15035, 19978, 24905?\n\"Answer: -8*r**2 + 4999*r + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23133 - 9373365.\nAnswer: -9350232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, -0.3, 2515, -5, 0, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*w + 19*w - 1975. List the prime factors of w.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 138 and 366?\nAnswer: 8418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) + ((sqrt(315)*-1 - sqrt(315)) + sqrt(315))*-3)\/(4*-1*sqrt(5))*4*4)**2.\nAnswer: 16128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 34700078712 minus -0.27?\nAnswer: 34700078712.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.085861 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/1254 and 167\/330.\nAnswer: 6270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 983080 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: In base 11, what is 64 + -467?\nAnswer: -403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-84448)\/156)\/(-203))\/((-7)\/(7140\/(-32))).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*g**4 + 70*g**2 - 70*g**2)*(-423 + 108 + 208).\nAnswer: -2996*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence atk when three letters picked without replacement from {d: 4, k: 7, c: 1, a: 3, t: 2}?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*i**3 - 1040*i**2 + 14640*i wrt i?\nAnswer: -60*i - 2080","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 - 4460*q**2\/7 - 70976*q\/7 - 283392\/7.\nAnswer: -2*(q + 8)**2*(q + 2214)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 1)*(6 - 1). Suppose 3*x = w*d, 3*x = d + x + 7. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5234 - -3?\nAnswer: 5237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 583841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*a + 45*a + 30. Let k(v) be the first derivative of 0*v - 1\/3*v**3 + 1\/2*v**a + 0*v**2 - 3 + 5\/4*v**4 - 7\/5*v**5. Factor k(y).\nAnswer: y**2*(y - 1)**2*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69593.\nAnswer: 69593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9 or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of i**7\/6 + 33*i**5\/20 + i**4\/6 + 14*i**3\/3 - 24*i**2 + 4195*i. What is the second derivative of y(c) wrt c?\nAnswer: 140*c**3 + 198*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 72, 89, 118, 159, 212?\n\"Answer: 6*o**2 - o + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a - 1. Let t be f(1). Suppose -2*j + 15 = t*j. Let b = 5 - 4. Solve b = j*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -x**4 + 5*x**3 - 3*x**2 - 5*x + 4 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 493014585 by -14086131.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-1\/43))**(-1\/51) assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-16 + 23 - (6 + 0) - 0).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.06279 + 0.55701. What is i rounded to one decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/10*15\/(-24). What is the second biggest value in 1, 1.7, k?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d - 18. Let x be 28\/182 + (-154)\/(-13). Suppose 3*m + x = 42. Let n be s(m). Solve -2*y = 2*t - 16, 16 = 3*t + n*t - 3*y for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 4*k = 40, 12 = 5*h - 2*k - 23. Solve 10 = -3*f + 2*x, 0 = 3*f - h*x + 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 15 = 2*g. Suppose 82 = g*f - 2*c, -f + 2*f + 4*c - 12 = 0. Let h = f - 12. Solve 0 = -u - h for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5863 + 29459\/5. Factor 2\/5*a**3 + w - 4*a**2 + 24\/5*a.\nAnswer: 2*(a - 6)**2*(a + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 265\/318*(-459)\/(-15)*(-4)\/3?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 370 a factor of 356874?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**2 + 2. Let x(p) = 5*p**2 - 155*p - 1180. Let a(r) = 5*h(r) - x(r). Suppose a(t) = 0. What is t?\nAnswer: -17, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 2*p - 3*m - 39, 2*p + 5*m = 71. Differentiate -32 - p*t**4 - 7 - 53 + 27 wrt t.\nAnswer: -192*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 86?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 16782 by 16782.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6251982.88 rounded to the nearest 100000?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of 0 - 3\/2*j**2 + 1\/12*j**4 + 5\/6*j**3 - 9*j. Give u(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (-1 - 5)) + -65 + 75\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6*2)\/((-45)\/240). Suppose 0 = 4*g + 4 - u. Solve z + 17 + 5 = 4*y, 5*z = y - g for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - -1211202112?\nAnswer: 1211202112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 3*t + 5. Let y(u) = 2*u + 4. Let g(n) = 3*x(n) - 4*y(n). Determine g(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 9 = 4*n. Suppose -n*j - 2460 = -0*j. Round j to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 107474\/5 or 21494?\nAnswer: 107474\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.07 + -0.01. Let z = 0.04 + h. Put z, 2, -3\/7 in decreasing order.\nAnswer: 2, z, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-12) + (4\/(-4) - 2)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**2 + 400465*a + 6806460 = 0.\nAnswer: -80076, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**2 - 2. Let r(b) = b**3 + 7*b**2 + 7. Let c = -29 + 36. What is c*t(l) + 2*r(l)?\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**4 - 3*a**4 + a**4 + (a**3 - 2*a**2 - 2 + 2)*(-3*a - a + a).\nAnswer: -7*a**4 + 6*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 747 = -3*h + 5336, -4*x = 2*h - 9198. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*t = 13*t - 8. Let k(o) = -343*o - 11. Is k(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 52.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -219.50141 + 219.5. What is c rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 3*d. Let y(g) = -g - 1. Let m(o) = -3*o - 2. Let t(a) = m(a) - 2*y(a). Let b(s) = 2*t(s) + z(s). Let l(v) = -2*v**2. Give l(b(j)).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 j when two letters picked without replacement from {n: 3, v: 2, y: 1, p: 2, j: 11}.\nAnswer: 22\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = o + 5*w - 0*w, 2*w = 0. List the prime factors of o.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 53 times 0.783\nAnswer: 41.499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 2*y**3 - 3*y**2 - 6*y - 3. Let n be t(-1). What is the fourth biggest value in -0.3, 1\/4, 1\/11, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 - 15 = 0. Let y = v + -15. What is the second derivative of -5*c + 7*c + y*c**4 + 3*c**4 wrt c?\nAnswer: 72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16562?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 64 + -222. Let o = -138 - y. What is the greatest common divisor of o and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1990597.\nAnswer: 7, 199, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -529\/5 - -106. Let t(v) be the second derivative of 4\/3*v**3 + 1\/3*v**4 - u*v**5 + 0*v**2 + 9*v + 0. Factor t(k).\nAnswer: -4*k*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s. Let r(o) = o. Let f(c) = -2*r(c) + y(c). Let j(q) = 7*q + 4. Let l(b) = -b - 1. Let m(v) = -j(v) - 4*l(v). Give f(m(w)).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t*v**4 - 2*t*v - 46*t + 1132*v**4 + 12*v**2 + 5269*v wrt v.\nAnswer: -24*t*v**2 + 13584*v**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/11 + 13395636*r**2\/11 - 22430436563010*r\/11 + 179442635184400\/11.\nAnswer: -2*(r - 3348905)**2*(r - 8)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a**2 + a**3 + 0*a**2)*(a**2 - 2 + 2) - 2*a**5 + a**5 + 2*a**5 - 4*a**5 + 2 - 2)*(-6 + 15 + 10).\nAnswer: -38*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 25\/2 of a meter?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 8*q - 260. Calculate the remainder when 751 is divided by l(-21).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/86 and 33\/808048.\nAnswer: 34746064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17656.\nAnswer: 2, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5432356.45448095 - 547.54562305. Let q = t + 5432927. Let u = -23 + q. Round u to five decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r + 25*r = -33 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + -3 + (-4090)\/(-20))*6. Suppose -8*y + v = -8687. List the prime factors of y.\nAnswer: 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the third derivative of -w**6\/120 + w**5\/12 + w**4\/12 + 2*w**3\/3 + 33*w**2. Let i be l(4). What is the highest common factor of i and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4 and 139\/204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 5*q - 39, 5*c - 5*q = 96 - 21. Let a = 14 - c. Put 3, a, 2 in descending order.\nAnswer: 3, 2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -59*k - 4*k**2 + 19*k**2 - 12*k**2 + 15. What is the tens digit of h(21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, o: 1, m: 1, d: 1, i: 3}. Give prob of sequence io.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-34)\/4)\/(((-418)\/(-11))\/(-152)).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 32*k**2 + 30*k + 74. Give j(31).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8824*h**2 - 8825*h**2 - 1466*h - 288*h.\nAnswer: -h**2 - 1754*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -54408 divided by -54408?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 - 12*s + 17. Let a(w) = -w**2 - 13*w + 16. Let z(g) = 3*a(g) - 2*h(g). Is z(18) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-8) - 1\/((-4)\/(-661)). Let k = -92 - w. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-6 - -3) - (1 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 - 0.25. Let v = 98\/95 - 12\/19. Sort r, v, -4 in descending order.\nAnswer: v, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 7 = -3*z, -4*z + 8 = -5*z + 4*o for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 15*x - 9. Let l(t) = -8*t. Give l(n(y)).\nAnswer: -120*y + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3407.99997541 + -3408. What is p rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-9)*840\/(-112)*(-12)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*u - 1 - 4*u + u**2)*(-5*u**2 + 2*u**2 - 4*u**2) to the form d*u**4 + r*u**3 + x*u + l*u**2 + j and give l.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 7 + 1 + -10.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*j**3*l + 1003739643*j**3 + 2*j**2*l - 1307*j*l - 15*l wrt l.\nAnswer: 2*j**3 + 2*j**2 - 1307*j - 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71733*g**2 + 7363*g**2 - 79007*g**2.\nAnswer: 89*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-30)*(-18)\/(-9)*10 + 443. Solve -442*x + a*x = -15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 38076204, 38076199, 38076190, 38076177, 38076160?\n\"Answer: -2*c**2 + c + 38076205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*x - 15, 43 = 2*r - 5*x. Suppose -7*q + r*q - 76393114 = 0. Suppose q = 3*y - 16403443. What is y rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18520.4 or 0.07?\nAnswer: 18520.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*p + 236624*p**3 + 90*p - 181*p.\nAnswer: 236624*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s, 1 f, and 1 n when four letters picked without replacement from nssfsssssnfu?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 6 (c) 3 (d) -448\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (4 - (25 - 3)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 8) to base 7\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 676994?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*14.595\nAnswer: -4.3785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 - -122. Let t = -2 + f. What is the greatest common factor of 555 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 9, -14, 1 in ascending order.\nAnswer: -14, -12, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-37*n**3 + 34*n**3 + 27*n**3)*(3*n + 3*n - 4*n) + 2*n**4 + n**4 - n**4 in the form p + y*n**2 + a*n**3 + l*n**4 + i*n and give l.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 + -58. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.37 + -0.401. Round y to 3 decimal places.\nAnswer: -0.031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4 = -4*y. Suppose 2*b - b + 16 = -4*k, -y*k - 20 = 0. Differentiate -2 + 2*c**b + 2*c - 2*c with respect to c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - 101*w - 142. Let l be p(-49). Suppose 0 = 3*f - 7*f + 32. Solve j = l*j - f for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37 - 27 + 9*r - 22 to the form y*r + q and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41579 = -3001*f + 11372 + 214138 for f.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**2 + 6. Let q be l(5). Suppose 228 = -5*j + 2*c, 2*j - c + 10 = -q. Round j to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2047?\nAnswer: 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0292, 3\/2, -3590, -4?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -17, -43, -71, -101, -133?\n\"Answer: -c**2 - 23*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -95 (base 14) to base 8\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*r - 16, -8*r + 5*o + 20 = -3*r. Let j be (r - -1)*(11 - -2). Let y = j + -12. Solve 0 + y = -b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23587\/15 - -1574. Find the common denominator of n and -37\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 462 + 462 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**3\/2 + 107*b**2 - 16049*b\/2 + 7917 = 0.\nAnswer: -273, 1, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-27)*(-15)\/65\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 28 - 25. Solve -d*k + f + 2 = -f, 0 = 2*f + 8 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 22\/(-30) + ((-3840)\/90)\/(-32). Sort y, 0.2, 0.3, -42 in descending order.\nAnswer: y, 0.3, 0.2, -42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*128106.\nAnswer: 51242.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmj when three letters picked without replacement from mmjjmjmm?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = -5*o + 31, 6*q - 5*q - 29 = -4*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.07 + -3.67. What is the closest to 7 in 0.09, s, -5\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03891 to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 10*d + 1. Suppose -3*z - 3*p = 6, z - 18 = 2*z + 5*p. Let q be k(z). Are q and 15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -9*m**7\/14 + 32*m**3\/3 - m - 3. Find the second derivative of u(i) wrt i.\nAnswer: -540*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*2*(-2)\/(-6). Let l(k) = -k + 2. Let p be l(g). Suppose 2*r + p - 38 = 0. Solve -2*o - 5 = -r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -3*b + l - 65794, 87728 = -4*b + 4*l. Let s = b - -986957\/45. Let n = s + -7\/9. Sort n, 2, -1 in decreasing order.\nAnswer: 2, n, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3872160 divided by -968040.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 3*l**2 + 2 - l - 4*l + l. What are the prime factors of x(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -947*p - 1683 = -938*p. Let j = p - -711. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.041 + 74.959. Let g = 76 - w. Let b = 4.89 - -0.11. What is the biggest value in -3, g, -0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3653285.88000224 - 3653177.88. Let c = -108 + o. Round c to 7 decimal places.\nAnswer: 0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 1:34 AM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-49)*7*(-14)\/(-392)*-371.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.41773 days in microseconds?\nAnswer: 1072891872000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/532 + 464963\/2660. Let b = j + -5963\/35. What is the common denominator of -62\/5 and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) -18 (c) 18 (d) -1 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 12*l - 1. Let r = -19 - -8. Suppose -8 = -2*m + 3*m - 2*v, 5*v = 4*m + 17. What is the smallest common multiple of m and f(r)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -7*x + 1. Let d be z(1). List the prime factors of d\/8 - 984\/(-32).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 111, -0.4, 3, 0.2.\nAnswer: -0.4, 0.2, 3, 5, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -120, -128, -140, -156, -176, -200, -228?\n\"Answer: -2*a**2 - 2*a - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/96 and 35\/66?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16057743 (base 9) in base 4?\nAnswer: 132203212101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 - (-31040)\/2544 - 1*6 and 57\/4.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 3 + 6)*(-6 + 19 + 7)*(-3*p**3 - 4*p**4 + 3*p**3) + 5*p**4 - 3*p**4 - 4*p**4 to the form g*p + k*p**4 + v*p**2 + s*p**3 + l and give k.\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -188589207900.999999418 + 188589207495. Let r = w - -406. Round r to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 37 = -5*n, -4*n + 71 = 4*c + 11. Suppose -9*f = -10*f - 3*z - 2, f - c = 5*z. Calculate the greatest common divisor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17793325 = 19*z + 256*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -2313374.\nAnswer: 1\/1156687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/41263986 and 51\/68773310.\nAnswer: 206319930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 2827?\nAnswer: 1\/2827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 920613*a + 1841230.\nAnswer: -(a - 920615)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -80, -4, 3 in decreasing order.\nAnswer: 3, -4, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 177 divide 296303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 30*q - 22. Let x(n) = -5*n**3 - 606*n + q*n**2 + 4*n**3 + 609*n. What is x(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -32*j + 33*j + 90. Calculate the lowest common multiple of 16\/(-6)*(-8)\/((-192)\/j) and 22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.9 and 547.02.\nAnswer: -1039.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101 (base 2) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(16\/(-1))*4450\/7120?\nAnswer: -5\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/5, -13, -0.4, -17, 2\/15, -95?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 127, 257, 389, 523, 659?\nAnswer: 797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -20, 3*m + 0*a - 129 = -3*a. Let i = 143\/3 - m. Let b = 0.1 - 0. What is the nearest to i in -2\/21, b, -1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 27. Let q = 25 - s. Suppose 24 + 8 = q*z. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*u**2 - 5 + 3 + 1 + 3*u**3 + 2 - 3*u**2 as t*u**2 + l + m*u + s*u**3 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4349*w**2 - 8949*w**2 - 34886*w**2 - 82341*w**2.\nAnswer: -121827*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21448184 or -21448197?\nAnswer: -21448197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 4*f**2 + 30*f - 7. Let q be a(8). Let b = 150 + q. Is 14 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1825006 is divided by 29918?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 53*d**2 - 271. Let a(q) = 4898*q. Give a(j(i)).\nAnswer: 259594*i**2 - 1327358","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -314 + 354. What is the smallest common multiple of 280 and a?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2040 or 2051?\nAnswer: 2040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 6 + b - 4*b**2 + 2 + 5*b + 5*b**2. What is the tens digit of j(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 176 in -3\/7, -1\/2, 1, 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5436118771 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13622 + 3249 = -0*u + u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4*-1*sqrt(153) + sqrt(153))\/sqrt(9) + -3)*1 + (4 + (sqrt(272) - -2*sqrt(272))*6)*3)**2.\nAnswer: 3834*sqrt(17) + 771354","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -0.063968\nAnswer: 0.00383808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 2:02 PM?\nAnswer: 9:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, e: 2}. What is prob of sequence bb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -4503.25919 rounded to one decimal place?\nAnswer: -4503.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3 - (-52)\/8 - (76\/(-8) + 8). Let g be (14\/(-8) - 0) + 2. Which is the second biggest value? (a) g (b) f (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 170 - 174. Let d be 4 + (i - 4) - -6. What is the closest to -1 in d, -2\/9, 6?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(28)\/(sqrt(400) - (sqrt(400) + 2*sqrt(400) - sqrt(400))) - ((-1 + sqrt(7))**2*2 - (4 + sqrt(7) + (sqrt(28)\/sqrt(4))**2))).\nAnswer: -49*sqrt(7)\/2 + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -175 - -425. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1466 is divided by 4\/((-240)\/36) - (-353)\/5?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3675 is divided by 1031.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -4*r - 10. Solve -h - 11 = -2*s, 31 = 4*s + r*h - 7*h for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 3. Let w be l(-4). Let y be w\/3*(-27)\/(-3). Let f be 3\/(3\/(-13)) + (630 - 618). Which is bigger: y or f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -x**2*z - x*z - 4*x + 177*z with respect to x.\nAnswer: -2*x*z - z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 4*r - 4 = -0, 3*r = -2*c + 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/41647?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((7\/(-4))\/(159698\/16104))\/((-4)\/(-34)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14480299?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j - 6, -2*j + 4 = -3*s. Let t be (-6)\/(-4)*(s - -2). Is (-4)\/(6\/t) - -165 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3\/4 (b) -724 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5631 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (4*(-6)\/(-8) - 6)\/((-36)\/8)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -135 and 9?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*x + 82*x + 9 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**3 + 100*f**2 + 748*f + 1452.\nAnswer: 4*(f + 3)*(f + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4\/v)**(18\/13)*(v*v**(2\/3))\/v**(-2\/99) assuming v is positive.\nAnswer: v**(7517\/1287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-2 + -5 + -7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 c when three letters picked without replacement from uoowonwnoc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 2*u + 4. Let h be x(-3). Let g = 24 - h. Solve -r - 3 = r + k, 4*k + 25 = g*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((4 + 0 - 2)*(0 + 2 + 0) - 2 + 2 - 2 - 2 - 3 + 6 + 1 - 4 + 4)*(-3*m + 4 - 4) to the form b*m + j and give b.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/75)\/(-3 - (-18)\/10)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + 1. Let h = -19 + 19.8. Let s = h - 1.2. Which is the smallest value? (a) l (b) s (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 562107.\nAnswer: 2810535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 2*u = 482, 3*u = 3*z - 395 - 322. What is the highest common factor of z and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q + 1. Let w(a) = -14*a + 3. Let k(r) = 8*j(r) - 3*w(r). Let b be (-4)\/24*(-1 - 5). What is k(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 10:56 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 2*x + 4. Let q be u(-3). Let c(z) = -z**2 - z - 1. Let r(n) = -5*n**2 - 5*n - 2. What is q*r(w) - 4*c(w)?\nAnswer: -w**2 - w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 95*p**5 + 89*p**2 wrt p.\nAnswer: 5700*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1740?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t - 11. Let l be z(7). Solve -l*u = -2*x - 3*x + 6, -u - 12 = -5*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 322629 and 336110.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 101*h. Let j(i) = 4*i. Determine p(j(t)).\nAnswer: 404*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 46 + -51. Let p(q) = 2*q**3 + 5*q**2 - 5*q - 3. Let g(h) = 2*h**3 + 4*h**2 - 4*h - 3. Determine r*g(j) + 4*p(j).\nAnswer: -2*j**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(72)*-1)\/(sqrt(36)\/((sqrt(72) + sqrt(72) + -1*sqrt(72))\/sqrt(8))))**2 + -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*m - 3*m. Let c = 250 + -254. Let s be c*2\/(-8) + 3 + 1. Solve 0 = 5*i - t + m, 0 = -i + s*t + 3 - 9 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 42 = 10. Suppose -5*g - 1 = 4*f + 9, 0 = 4*g + 4*f + z. Let b = 30.1 + -29.1. Sort g, b, 2\/9 in ascending order.\nAnswer: g, 2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 286 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 45 + 280. Let a(o) = 9*o - 1. Let l be a(3). Calculate the highest common factor of l and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/6 and 19\/3314?\nAnswer: 9942","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 501430.1 decades?\nAnswer: 60171612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/1100*22*-4*(-1)\/6.\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8*1\/2 + 1303 + -35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40675582?\nAnswer: 2, 20337791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2162.694 nanograms in micrograms?\nAnswer: 2.162694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/(-3) + 20479 + -23 + 23 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c. Let d be l(-5). Let g = 10 - d. Solve -2*t - 4*s = -g*t - 2, -4*s = 2*t - 12 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = -h - 3*h. Let d be h\/35*(-5)\/2. Factor 6 + 3*l**3 + 2*l**d - 7*l**2 + 0*l**2 - 3*l - l**2.\nAnswer: 3*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2053*u = -2058*u - 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z - 7*z + 0*z + (1 + 2 - 2)*(2*z + z - 2*z) + z - 1 + 1 to the form t*z + d and give t.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 12:51 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 (base 15) in base 3?\nAnswer: -12002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-1*sqrt(1100) + -1*sqrt(1100)*-1)\/(sqrt(28)\/(sqrt(21)\/sqrt(3)) + (1*sqrt(484) + sqrt(484) - sqrt(484))).\nAnswer: 5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -106815, -107029, -107243, -107457?\n\"Answer: -214*q - 106601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/132 and 89\/62.\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56848.\nAnswer: 2, 11, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63808 is divided by 15935?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + (-4 - (0 + -4)). Suppose 3*m + 3*d + 13 = 37, 5*d = k. Solve -5*u - m = 12, -u - 4 = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119*u = -117*u + 10. Which is the smallest value? (a) u (b) 1 (c) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5720 - 615*c**3 + 2859 + 15*c**2 + 2855 wrt c.\nAnswer: -3690","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 299575172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8141 + -3435. Suppose 4*s + s - 3*p = u, -s + 928 = -5*p. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10*-7*(-4)\/10. Suppose -5*a = -a - f. What are the prime factors of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 times 14.74\nAnswer: 44.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1634170674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 16819169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 47, 322, 935, 2006, 3655, 6002, 9167?\n\"Answer: 20*l**3 + 49*l**2 - 12*l - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -4*o**3 - o - 1. Let m be h(-1). Suppose -m*s - 9 = -s. Let b = -3 - s. Solve b = 2*l + l - 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 586 - 331. What are the prime factors of f?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f - 1. What is i(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -23.059. Let g = y + -0.241. Let c be 3 + 0 - 15\/6. What is the nearest to 0 in g, -2\/9, c?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/3)\/((-327386)\/46767 + 7). Do o and 4585 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(1088\/(-36))*16\/(-12).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a - 5*a + 0*a + (3 - 3 - 2)*(-2*a + 5*a - 2*a))*(-a**3 + 73*a**2 - 44*a**2 - 55*a**2) in the form k*a**2 + f*a**4 + z + p*a + c*a**3 and give c.\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-38)\/8 + 1)\/(131\/524)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 6*r + 4. Let u be (-2)\/27 - 85936\/(-14148). Calculate p(u).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -121, -271, -487, -775, -1141?\nAnswer: -1591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 15*y - 30. Let f be r(4). Suppose -2*v + 0*v - 6 = 0, 0 = 5*q - 5*v - f. Solve j - q*z = 3, 5*z = 2*j + 2*j - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 350*k + 845*k + 700*k + 47375 for k.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 a factor of 177630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 11) in base 2?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 6*f + 2. Is v(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 563 + -401. Let y be 12*2*(-58)\/(-6). Let q = l - y. What is q rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of r**7\/105 - 4*r**3\/3 + 6*r**2. Find the first derivative of z(c) wrt c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 14 = -5*p - 7, 2*s - 30 = 3*p. What is the greatest common factor of s and 2304?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c**3 + 276*c - 138*c - 154*c + ((2*c**2 + 3*c**2 - 3*c**2)*(1 + 1 - 1) + c - c**2 - c)*(c - 3*c + 9*c) to q*c**3 + k + j*c**2 + t*c and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 115*y**2 + 846*y + 72. What is p(8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) - (sqrt(130) + (1*sqrt(130)*2 - sqrt(130))) - (sqrt(130) - -5*sqrt(130)*-1))\/((sqrt(120) + sqrt(120) + -5*sqrt(120)*-2)\/(2*sqrt(972))).\nAnswer: 9*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, -9, -28, -55, -90, -133?\n\"Answer: -4*b**2 + b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -170650, -170654, -170658?\n\"Answer: -4*g - 170646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 657839.\nAnswer: -5\/93977","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 158 = 3*v + 51, 0 = -3*v - s + 103. Suppose 0 = 5*f - 25, 0 = -4*j + f + 101 - v. What is the smallest common multiple of j and 46?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-2\/7)*s*s)\/s*(s\/s**3)\/s)\/(s**(-5)*((s\/(s\/(s**(-6)*s)))\/s)\/s) assuming s is positive.\nAnswer: s**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -758 by -742370.\nAnswer: 379\/371185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lqqqqlqlqlqqqq. What is prob of sequence qlq?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - -5) + (-333)\/1. Let r = 366 + y. Calculate the highest common divisor of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 11*w**2 - 11*w + 16. Let r be ((-12)\/16)\/(2\/32). Let i be p(r). Let o = 6 - i. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(1\/5)\/(r*r*r\/r**18)*(r**(-8\/3)\/r*r)\/(r*r**(3\/7)) assuming r is positive.\nAnswer: r**(1166\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)\/(sqrt(45)*3))**2.\nAnswer: 17\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/(-16))\/(25\/(-20))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/7 in 149, -1\/21, -2\/11, -2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, -3, 237, -95, 0 in ascending order.\nAnswer: -95, -3, 0, 113, 237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1626, 6355, 14224, 25233, 39382, 56671?\nAnswer: 77100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 71*z - 69*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1807820017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*g**3 - 27*g**3 + 77*g**3 - 24*g**3.\nAnswer: 3*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -172*(0 - 5\/(-10)). Let w = 4 - h. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 + 67*a - 159. What is the remainder when 558 is divided by r(64)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 7524?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 602 - 503 = -67*w + 3047. Calculate the greatest common divisor of 121 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -9, 3, -2, 11 in ascending order.\nAnswer: -9, -2, 3, 11, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 46*k**2 - 16*k + 3. Let w be s(-9). Let v = w - -1114. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sfhsush. Give prob of picking 1 u and 2 h.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -401? (a) 2 (b) -5 (c) 0.3 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 487956\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3*sqrt(68) + -2*(-3 + sqrt(17))).\nAnswer: -24*sqrt(17) - 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (44\/(-12))\/(6\/(-36)). Suppose 0*y - 4*y + 20 = 0. Solve 2*c = y*s + 6*c + x, -3*c = -3*s + 3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.73 + 4.53. Which is the second smallest value? (a) i (b) 16 (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -155520 divided by -36?\nAnswer: 4320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b - 4. Let q(z) = -1. Let k(y) = -o(y) + 4*q(y). Let r(h) = -3*h + 3*h - 12*h**2 + 10*h**2. Give r(k(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124964.\nAnswer: 2, 7, 4463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i**18\/i))\/i*i)**10*i**(-2\/57)*i**8\/i)**(-14) assuming i is positive.\nAnswer: i**(122122\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 640*m**5 + 736*m**4 - 358*m**3 - 700*m**2 - 282*m - 36 = 0.\nAnswer: -1, -2\/5, -3\/8, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 2*x**3\/3 + 13*x**2\/3 + 20*x\/3 + 27. Factor s(l).\nAnswer: 2*(l + 1)*(3*l + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 50a - -15cca?\nAnswer: 16507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 160235 to the power of 1\/2, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1290285.\nAnswer: 3, 5, 53, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - z = -2*z + 23, 4*z = 3*w - 18. Suppose 5*c = w*c - 10. Solve y = -c*r + 2*y, 0 = -y for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5 + -0.44. Let b = 0.062 - y. Round b to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -48042?\nAnswer: 2\/24021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9275*j**2 + 18443*j**2 - 9272*j**2.\nAnswer: -104*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c**2 + 7890*c + c**2 - 7916*c - 25*c**2.\nAnswer: -11*c**2 - 26*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -69349689 at most -69349685?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609 = -125*i - 234 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 121365 + 28235. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v - 500*c + 541*c - 664, 3*v + 2*c - 38 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uamarupukaur. Give prob of picking 1 p, 1 k, and 1 a.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6132534 - 18397594 + 6132527 - 156*m**3 + 6132533.\nAnswer: -156*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 divided by 4?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x = 7 - 31. Suppose 0*b = -x*b + 120. What is the highest common factor of b and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2464*q. Let j(f) = 2*f**2. Determine j(z(w)).\nAnswer: 12142592*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*3*(-2 + (-1*5*((sqrt(11) - (sqrt(11) + -1)) + -1 - sqrt(11)))**2) + 5.\nAnswer: -1633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 - 2*r**3 - 2*r**3 + 3*r**3.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1022110 - 2?\nAnswer: -1022112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12262223 (base 8) to base 11.\nAnswer: -1593122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 5091 and -200\/11 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 276226296?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 81655.41 millennia?\nAnswer: 81655410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 395 + -2757\/7. Suppose 4*c = 5*c - 1. Is a greater than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q = 6*q + 369. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -554352.97345 - -554174. Let j = 187.87 + p. Let m = j + -8.9. What is m rounded to four dps?\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118411?\nAnswer: 118411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 AM and 1:05 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-15)*5)\/(21\/(-14)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 162\/18810 + (-1058)\/(-110561).\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 2*t + 2*t - 17 = 0, -3*w + 9 = -2*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(6\/(-7)))\/(2\/(-6)). Calculate the smallest common multiple of (2232\/q)\/(-9) - 8\/(-14) and 51.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10301223000 (base 4) to base 12\nAnswer: 504680","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 9:24 PM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3404204 divided by 4?\nAnswer: 851051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68930 is divided by 859?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 2*s = 1156, 0 = -4*t + 119*s - 118*s + 1180. Solve 77*l + t = 62 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/(-7) - 1) + 4. What is the third biggest value in 0.8, n, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.7502 + 4.83. Let i = 5 + -4.93. Let k = i - y. Round k to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**4\/5 + 6519292*w**3\/5 - 5312646022658*w**2\/5.\nAnswer: -2*w**2*(w - 1629823)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 67 - 67 - 3*w**2 + w as m*w + z + r*w**2 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0, 0.236, 5?\nAnswer: 0.236","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**4 + 5*r + 2. Suppose 0 = q - 4*q, x + 2*q = 5. Let y(l) = -l**4 - 2*l - 1. Let u(a) = x*y(a) + 2*c(a). Differentiate u(k) with respect to k.\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) 1 (c) -719 (d) 413 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 69052186 and 426?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(-4 + -5*(sqrt(288) - (sqrt(288) + 0)*-2)))**2 + 1 + 5.\nAnswer: 28800*sqrt(2) + 1296326","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178365 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 3:55 AM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 + 1217030.\nAnswer: 1217028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -da6bae - 1?\nAnswer: -da6bb0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 37295659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 57039*p**2. Let a(h) = -3*h**2. Calculate n(a(w)).\nAnswer: 513351*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00261563 rounded to two dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-3 - -5))\/((-1)\/(-4)). Suppose -c - k + 5 = 0, 5*k - 25 = -g*c + 6*c. Solve a + 4 = -c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010001111111101001011 + 0?\nAnswer: -1010001111111101001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*g = 211*g - 431*g - 11433 for g.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**4\/13 - 432*h**3\/13 - 23916*h**2\/13 - 451408*h\/13 - 186714 = 0.\nAnswer: -143, -41, -23, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*a - 593 - 47 = 0 for a.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/2 + 7\/14?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1303179 to the nearest integer?\nAnswer: 1142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 divided by 1?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 329091, 658194, 987301, 1316412, 1645527, 1974646, 2303769?\nAnswer: 2632896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5 + 8 + r - 4 + 2. Let o be d(-9). Let v(c) = 6*c + 4. Let m be v(3). Calculate the highest common divisor of o and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -8*m - 120. What is the least common multiple of c(-24) and 9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.15? (a) -0.7 (b) -1 (c) -0.4 (d) -396 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -125 - 361?\nAnswer: -486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -3*o**2 - 55*o + 344. Calculate j(-23).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*w - 87*w**2 + 31*w)*(0 + 0 + 1)*(-5 - 6 + 26)*(w + 0*w + 0*w).\nAnswer: -1305*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a6 (base 14) to base 4.\nAnswer: 20122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -92.9828 + 93. What is b rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3)*-6*1. Solve 2*z + 10 = -4*a - 2, -t = 2*a + 2*z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8.97 - 12.97. Let o = -1216\/7 - -174. Which is the second biggest value? (a) o (b) r (c) -1.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9034564*z**3 - 3*z**2 + 2*z - 290240019 with respect to z.\nAnswer: -27103692*z**2 - 6*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 401804366 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (-10 - (26 + -46))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/16*(1 + -2 + 1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5910318 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 299.7 - -89.3. Let a = 385.86 - f. What is a rounded to 1 dp?\nAnswer: -3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*q**2 + 21 - 17*q**2 + 19*q**2 + 17*q**2 - 6.\nAnswer: -4*q**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 328831\/194187 + -83\/49. Let w = -40963\/23778 - z. Let o = -7\/18 - w. Is o smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1327272657 to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1147 + -954. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 76871.5245 and 22?\nAnswer: 76849.5245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -695*x - 3. Let j(o) = 3*o**2. Determine j(q(r)).\nAnswer: 1449075*r**2 + 12510*r + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 45 + -65. Let t be (-42)\/(-10) - (-4)\/h. Solve 8 - 4 = -t*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 10:10 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -362*a**2 - 369*a**2 - 365*a**2 - 363*a**2 - 359*a**2 + 2191*a**2 - 362*a**2.\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24\/11? (a) -0.5 (b) 4 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -242?\nAnswer: 23c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 7*u**2 + 19*u - 4. Let b be z(-8). What is the common denominator of 0 - (-3)\/(60\/b) and -97\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -161647 at least as big as -161647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 8 - (-6 + (-13 - -31) + 18)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 446*x**2 + 30*x**4 + 189*x**4 + 595*x**4 wrt x?\nAnswer: 19536*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.1. Let y = 62 - 66.1. Let j = u - y. Which is the biggest value? (a) 1 (b) j (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17677.5 - 17677. Put i, -27, 4, -0.3 in increasing order.\nAnswer: -27, -0.3, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.11 * -3.26.\nAnswer: -0.3586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*t - 105 + 105.\nAnswer: -371*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-38)\/(-6) - ((-3 - -6) + 2). Which is the second biggest value? (a) -0.2 (b) o (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, m: 2, n: 3}. Give prob of picking 2 m.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1860736 to the power of 1\/4, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20021202212 + 211201?\nAnswer: 20022121120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q**3 - 2*q**2 + 40*q - 27. Let n be i(-8). Sort 4, -3, -5, n in increasing order.\nAnswer: -5, -3, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 271, 620, 1135, 1900, 2999, 4516, 6535?\n\"Answer: 14*z**3 - z**2 + 254*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9632\/3 - -3210. What is the nearest to 1\/6 in a, -0.3, -5, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes before 1:34 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 13387*i**2 - 13382*i + 15. Determine t(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 262 = 2*c. Suppose 11 = 2*q - c. Let k = q - 473\/8. Find the common denominator of k and -61\/36.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*x - 872076*x**3 - 872076*x**3 + 1744154*x**3.\nAnswer: 2*x**3 - 9*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 2*h**2 - 10*h - 13. Is a(6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -367875 by -122625.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 4*z. Suppose p - 3*s - 20 = z, p + s + 0*s = 4. Suppose 2*f - 216 = -f. Calculate the greatest common factor of p and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*g**3*u - 30*g**3 + 551*u with respect to g.\nAnswer: -21*g**2*u - 90*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q - 2*q + 5*q)*(-q**2 - 4*q**2 + 4*q**2) - 120*q - 1 - 11*q**3 - 81*q + 198*q.\nAnswer: -13*q**3 - 3*q - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 13*x - 68. Let f be k(17). Is f at most -10\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -167 less than or equal to -166?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2339.\nAnswer: 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -5 - -4) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2526627*r*t + 39740527*r + 8*t wrt t.\nAnswer: 2526627*r + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1410261475.\nAnswer: 5, 7, 37, 353, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.149 * 2209.\nAnswer: -2538.141","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 84*h - 76*h. Solve -2*o - 122 + 111 = 5*n, -3*o = -h*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1713 - -1711. Let r = -1336\/23 - -58. What is the smallest value in w, r, 1.8?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x**3 + 58*x**2 + 240*x = 0 for x.\nAnswer: -24, -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 12*c + 138. Let s = 13 - 8. Solve -c = 5*t - m, s*t + 2 = 4*m - 30 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 949?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-33)\/6 + 0)*(27 + -45). Solve -54*z + b = -9 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000121110012 + -10?\nAnswer: -1000121110022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c. Let b(k) = -2632*k. Give b(z(j)).\nAnswer: 7896*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - w + 0*w)*(-15*w + 19 - 19).\nAnswer: 30*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 5*n + 3*n + (-2 - 2 + 2)*(-2*n - 1 + 1) + 2 + n - 2)*(96*n - 10272 + 10272)*(1 + 2*n - 1)*(-1 - 2 - 1).\nAnswer: -4608*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 6:39 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + 20\/8 - 4\/8. Solve -2*l + l - 1 = -m, 0 = -a*l - 20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2859495319.\nAnswer: 17, 307, 547901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of -k**4\/12 - 5*k**3\/6 + 7*k**2\/2 - 16*k. Calculate t(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -703 = -67*c + 34 for c.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/255)\/((-3)\/(-6))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/839780 and 71\/220.\nAnswer: 9237580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j + 0*j - 3*j)*(-12*j - 15*j + 16*j)*(0*j**2 - 4*j**2 + 3*j**2) as p*j**4 + x*j + r + i*j**3 + a*j**2 and give p.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1 + sqrt(1620))*5 + 0 + 4)**2*-4 + 0.\nAnswer: -324648 - 12960*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 - 3)*(-9*z + 6*z + 14*z).\nAnswer: -77*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 2*t**2 + 2*t. Let h be d(3). What are the prime factors of 5 + (-4 - 3\/h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b + 7*a - 2*a - 74, b - 5*a - 52 = 0. Let k(g) = g**2 + g + 5. Let u be k(-4). Let s = b - u. Does 13 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 989*g - 1. Let x be t(-3). What are the prime factors of x\/(-26) + 1\/(91\/(-14))?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 6, 0.3, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 5. Let t(r) = -3*r + 54. What is 4*n(p) + t(p)?\nAnswer: p + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -163, -320, -477?\n\"Answer: -157*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-2))\/(6\/(-6)*1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 221808119 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -164 (b) 0.3 (c) -145 (d) 29\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21775.917 - 21740. Let n = 0.083 + c. Let a = n + -33.52. Round a to one dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2091 - 1796. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6158915?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/4*3\/18. Let k = 41 - 41.4. Let n = 0.6 + k. Sort z, -5, n in decreasing order.\nAnswer: n, z, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 492884*b**4*r**3 + 6*b*r**3 + b*r + 25*r**2 - 6*r wrt b.\nAnswer: 5914608*b**2*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 548 and 324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 - 5. Let s = t + 89. Solve 0 = 5*v - 4*d + 6 + 1, 0 = s*d + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y - 98 + 6*y**2 + 33 + 28 + 32 - y**3. Calculate q(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 2*s - 2. Let i(o) = -3*o - 7. Let c be i(-5). Calculate the remainder when 35\/2*c\/5 is divided by k(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.35 - -2.09. Let o = -0.26 - t. What is the closest to 1 in o, 2\/15, 0.1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b = -8*b - 1584. Put 1, b, 5, 2 in ascending order.\nAnswer: 1, 2, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5355 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 22*h + 73. Let t be v(0). Suppose -t*y = -68*y - 85. Put -2, 1, y in descending order.\nAnswer: y, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/213 and -121\/138.\nAnswer: 9798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -2, -5, 2, 8 in decreasing order.\nAnswer: 11, 8, 2, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 30372 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9*-10*(-5)\/1575. What is the second biggest value in 3\/2, -49, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3*4\/(-8)*2. Is (0 + -37)\/(i\/(-3)) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 - -0.2. Let r be (5 + 1422\/(-315) + 6\/(-21))\/(-1). What is the fourth biggest value in 1\/8, w, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5966 = -7*s + 24267. Is s a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1187 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 3*c**2 - c + 2. Let o be w(3). Let h be 1*o*0\/7. Solve 4*y = -h + 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (20\/15 + -1)*30. Solve 10 = 2*x - 5*h, -33 = 3*x + 2*h - g for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -1400366?\nAnswer: -1400401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 135433766 to the power of 1\/4, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10\/2*(-175)\/125\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = u + 3*j + 34, -3*u - 42 = -3*j. Let c = u - -30. Is 12 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*q = 43*q. Solve q*g + 0*g**2 + 0 + 0*g**4 + 8\/5*g**3 - 2\/5*g**5 = 0 for g.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.162056549 less than 0.1042?\nAnswer: 0.266256549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 2:03 AM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*x + 1 = 0, 0*x = -3*i + x + 25. Suppose -q - 90 = -i*q. Solve -c - 3 = l, 2*l = 3*c - 3*l - q for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 138\/39*(-14)\/(-28)*13\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.07 - 0.07. Let g = 491 - 787. Let l = 300 + g. Which is the second biggest value? (a) l (b) i (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 64*f + 2. Let d be u(2). Let j = d + -22. Let w = j - 1190\/11. Which is the biggest value? (a) -0.4 (b) 1\/2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wcwccwccccwccwwwwww. What is prob of sequence ccww?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 646596 and 108.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 23882930 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 522191 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l**2*p**2 + 7*l*p**2 + 92*p**2 with respect to l.\nAnswer: 8*l*p**2 + 7*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -521720 to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27.74 - 31.74. What is the nearest to -1 in 24, 5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -0.07116014\nAnswer: 0.14232028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24498 - 19498. Calculate the remainder when s is divided by 1662.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-425)*15)\/((-9)\/(-75))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 0*m - m - 5*m + 4*m. Let j(z) = -3*z + 6. Let n(s) = 6*s - 11. Let a(p) = -11*j(p) - 6*n(p). Calculate a(d(f)).\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*i + 426 = 149*i. Suppose 682 - i = -x. What is x rounded to the nearest 100?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041968243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 + 4*b**2 + b - 3. Let y be n(-3). Solve 2*d = 2*l + 14, 2*l = d - 6 - y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 96655297?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, -6, -8111\/4, -1\/5, -4\/7?\nAnswer: -8111\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 15) in base 7?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 156 - 101. Let a(c) be the first derivative of 5*c**2\/2 - 2. Let o(b) = -70*b. Calculate s*a(t) + 4*o(t).\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - 4a0b0?\nAnswer: -4a0b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*x + 495586 = 59*x. Is x a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 3*f**2 + 2*f. Let x be j(-3). Let g = x + -73. Is 4 a factor of (55\/g)\/((-2)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*l + 10 = 0. Let d be 52\/5 - l\/(-25). What is the units digit of ((-14)\/d)\/((-1)\/5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ca97 (base 16) to base 14.\nAnswer: -14c87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2034*g**4 - 58*g**3 - 2*g**2 + 4*g - 1964134 wrt g.\nAnswer: 24408*g**2 - 348*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 459521 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 120?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = 12*s - 36. Let t be s - -2 - (0 + 2). Suppose -r + t*v - 296 = -5*r, -4*v - 16 = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110101000000 + -11101?\nAnswer: -11110101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7434)\/1416*(-6)\/27*-8*3?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of 2*f**3\/3 + 6*f**2 + 52. Determine h so that c(h) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 9*h**4\/4 + 3*h**3 - 31*h. What is the second derivative of r(c) wrt c?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5) + 172\/55. Let h(l) = l**2 + l - 2. Let m(n) = -7*n**2 + 8*n - 34. Let d(g) = 6*h(g) + m(g). Let c be d(6). Which is greater: c or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 39 - 39. Suppose -2*h + 5*h - 5*l - 84 = 0, i = -3*l + 9. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2186?\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 127 + -119. What is the units digit of a\/16 + (-1498)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -574.59 - 5.41. Let b = 42285819369.00000283 - 42285818789. Let z = m + b. What is z rounded to seven decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -21*o**2 + 402*o - 61. What is z(19)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5879927725?\nAnswer: 5, 7, 4799941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235?\nAnswer: 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((p\/(p\/((p\/p**(-35))\/p)))\/p)\/p)\/p)**(-2\/7)*((p\/p**6*p)\/p)\/(p\/(p**(4\/23)*p)))**(1\/62) assuming p is positive.\nAnswer: p**(-2249\/9982)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7060.363km in millimeters?\nAnswer: 7060363000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((4*(3*sqrt(180) - sqrt(180)) + sqrt(180))**2 - sqrt(180) - ((-5 + sqrt(605))*1)**2).\nAnswer: 312*sqrt(5) + 41850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*z - 3, -3 = -6*j + j - 3*z. Suppose 15*f - 2517 - 123 = j. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -37 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4751\/5 - 85283\/90. What is the common denominator of c and 1\/(-15)*305\/(-6)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 60.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-236700)\/(-19725))\/(((-2)\/3)\/(-1))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-4322)\/(-14) + 252\/882 and 33?\nAnswer: 3399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (440\/(-77))\/4*1\/5*-2\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4901623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/1760 and 101\/224.\nAnswer: 12320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -6*l**2 + 426*l + 25658. Calculate v(-39).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*b**4 - 31*b**4 + 9*b**4)*(33 - 7 + 32).\nAnswer: -2204*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 10*r**4 + 99*r**3 - 172*r**2 + 60*r. Let n(w) = -10*w**4 - 101*w**3 + 173*w**2 - 60*w. Let a(c) = -3*n(c) - 2*x(c). Factor a(o).\nAnswer: 5*o*(o - 1)*(o + 12)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 3*p - 207 + 213 = 0, -3*a = -10*p + 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -9. Which is the closest to 3? (a) i (b) -0.5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 2 = s + s, 14 = 4*q - 5*s. Suppose -i + 10 = q. Suppose 4*g + 320 = i*h, -g = -4*h + 160 + 157. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32352 and 72792?\nAnswer: 291168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -6124 and -0.912?\nAnswer: 6123.088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 88*f - 13187. What is i(-79)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttot when four letters picked without replacement from toottttt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1860, 4, -0.4, 40, -3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1008) + -1)*5 + 0 - (-4*(-3 + sqrt(1008) + 0) + 3))**2.\nAnswer: -5400*sqrt(7) + 82273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 7*v - 1. Calculate h(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -529 (base 11) to base 13\nAnswer: -39c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 78, 79, 80, 81, 82, 83?\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -5*v**3 + 7*v**2 + 7*v + 4. Let g(d) = -d**3 - 8*d**2 - 4*d + 2. Let y(t) = 7*t**2 + 4*t - 1. Let r(i) = 3*g(i) + 4*y(i). What is -7*r(u) + 4*z(u)?\nAnswer: u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (54\/15)\/(((-2)\/(-14))\/((-340)\/(-119)))?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - -0.7. Let d = -0.07 + 0.17. Let t = 3.91 + 0.09. Which is the closest to m? (a) t (b) -0.3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16 + 18. Let z = g - 2.1. What is the smallest value in z, 3, 1\/2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185602 is divided by 61830?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 127*i**2 + 16*i + 86. Is s(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 13 (b) -4 (c) -0.4 (d) -0.1 (e) -26 (f) 22\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 13974918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(600)\/sqrt(4)).\nAnswer: sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 17, q: 3}. What is prob of sequence hqhq?\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153291845*v**3 + 153402585*v**2 + 110760*v + 20 = 0 for v.\nAnswer: -1, -2\/5537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Let s be (15*1)\/(-3) + r. What is the remainder when 20*1 + s + 4 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 4*h - 752 = 3*s, h = 3. What are the prime factors of s?\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**2 - 3704*i + 260337 = 0?\nAnswer: -3773, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 4910?\nAnswer: 4910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01455204836 to 3 dps.\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -190*m - 2674 = 77*m + 2399 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 740 and 35?\nAnswer: 5180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 7. Suppose s = j*s - 1. Solve 0 = o - 2*o + s for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 AM and 10:56 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 376211.21 and -0.07622?\nAnswer: 376211.28622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 121?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 67c - -abe?\nAnswer: 113a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the first derivative of 5*h**4\/2 + 25*h**3\/3 - 55*h**2\/2 + 20*h - 19. Suppose i(w) = 0. What is w?\nAnswer: -4, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of o**5\/30 - o**4\/24 + o**2 - 7*o. Give k(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27513371?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38259 is divided by 792?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18151\/(-14) - 4\/8. Let v = 1009 - -1429. Let q = i + v. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 n, and 1 y when three letters picked without replacement from yyyaybhbyynyb?\nAnswer: 7\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6.3 and 250468.\nAnswer: 250461.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 14) in base 15?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4774 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -337*y**4\/4 + 622*y**2 + 959*y. What is the first derivative of c(d) wrt d?\nAnswer: -2022*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -3*z**3 - 6*z**2 - 5*z - 8. Let d be o(-6). Suppose -4*b + d = -h + 3*h, -5*b - 5*h = -565. Round b to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 617, 615, 619, 635, 669, 727, 815, 939?\n\"Answer: t**3 - 3*t**2 + 619","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 504152 by 68.\nAnswer: 7414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 7:03 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-14)\/(-21))\/(175\/75). Which is the nearest to q? (a) 0.4 (b) -4 (c) 0.3 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 40 = 5*a, 6*a - 9 = 2*y + 3*a for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 37*q**2 - 10*q - 105*q**2 - 2*q**3 + 41*q**2 + 3*q**3 + 7 + 35*q**2. Let w be s(-7). What is the highest common factor of w and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -106 < -106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 44595 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/84*-7*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 3. Let x(c) = -2*c**3 + 3*c**2 - 9*c + 21. Calculate -6*a(f) + x(f).\nAnswer: -2*f**3 + 3*f**2 - 9*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-3) + 5\/10. Let j(t) be the second derivative of 1\/6*t**3 - 1\/4*t**4 + 2*t + 0 - l*t**2 - 1\/20*t**5. Determine j(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yymlyll. What is prob of picking 3 y?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of t**6\/30 - 3*t**5\/20 - 5*t**4\/12 + t**3\/2 + 20*t**2. Solve y(u) = 0 for u.\nAnswer: -1, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7475243925 to the power of 1\/2, to the nearest integer?\nAnswer: 86459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 9, -21 in descending order.\nAnswer: 9, -21, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(4)\/sqrt(242))**2 - (sqrt(288) + -5 - sqrt(2))) + (4*sqrt(12)\/(sqrt(600) + sqrt(6))*-6)**2.\nAnswer: -11*sqrt(2) + 1759\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nfzzzznnzfffz. Give prob of picking 1 z and 1 f.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -7758\/11 < -705?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.198 + -0.198. Which is the biggest value? (a) 24 (b) x (c) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from wrwirrtrriirvvvtit.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2376)\/(-1540) - (-9)\/((-378)\/48).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 36 = 5*z, -z + 3*a + 120 - 104 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 29\/2, -2\/3?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 96059131 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rn when two letters picked without replacement from rnptnrn.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5 + (-860)\/25. Let z = p + 40. Suppose 2*r = 4*m - 94, 8*m - 78 = 5*m + 4*r. Calculate the least common multiple of m and z.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 + 2*y + 2. Let c be v(3). Let n = c - 29. Let u = 16 + -3. Calculate the remainder when n is divided by u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 25091743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 + 174\/(-9))\/((-1)\/111) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 13.7?\nAnswer: -13.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 12:14 AM?\nAnswer: 10:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.5, 6, 40, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.02 (b) -7 (c) -3391\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -119 - -64. Let w = q + 54.8. Sort w, 4, -17 in decreasing order.\nAnswer: 4, w, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 3369.\nAnswer: -6738","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30408.\nAnswer: 2, 3, 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 - 2*a**2 + 3*a - 1. Let y be m(2). Sort y, -22, 4.\nAnswer: -22, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.389 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7692.27l?\nAnswer: 7692270","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 4:26 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 48 = -20. Suppose m*y + 8*y = y. Solve -5*v + y - 10 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1, -5, -31, -97, -221, -421, -715, -1121?\n\"Answer: -3*o**3 + 7*o**2 - 4*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38927*y + 71855*y + 19445*y.\nAnswer: 130227*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 117239 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p + 16 + 4. Let a = -4 + p. Suppose a = -0*z + z - 48. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -39*n**2*p**2 - 39789*n**2 + 96674*p**2 - 23 wrt n?\nAnswer: -78*n*p**2 - 79578*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 28*w + 271. Let p be ((-14)\/(-2))\/(57 + -56). What is the units digit of i(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -9. Let v(u) = -u**3 - 4*u**2 + 2*u - 7. Let h be v(-5). Suppose h = 3*i + 5. Put o, -2\/7, i in ascending order.\nAnswer: o, -2\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5)*4*105\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 636.62 take away -78701818.1?\nAnswer: 78702454.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39903, -39818, -39729, -39636?\n\"Answer: 2*m**2 + 79*m - 39984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 131304?\nAnswer: -131314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 74.54 and 2?\nAnswer: 72.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from {u: 1, y: 1, n: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*u = -2062629 + 6305954 + 10844016. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 4*g + 4*n - 158, -5*n + 15 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 22513*s. Let h(n) = 2*n - 31. Calculate v(h(k)).\nAnswer: 45026*k - 697903","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p + 1. Let h(s) = 4*s + 2. Let m be 2 + 0 + (-144)\/(-2*2). Let w = 37 - m. Give w*h(n) + t(n).\nAnswer: -3*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**6)\/n*n*n**(-7))\/((n\/(n\/(n\/n**(-3))))\/n**(-3\/10)) assuming n is positive.\nAnswer: n**(-163\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 9*v**2 + 10*v + 4. Let t(w) = 4*w**2 + 6*w + 5. Let z be t(4). Let k = z - 83. Let c be g(k). Let p(o) = o**2 - 10*o + 6. Determine p(c).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1145509327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19244103 is divided by 3848779?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 - 5*h - 10 + (3 - 1 + 0)*(3*h - h + 0*h) - 3*h + h + 4*h - 3*h + 3*h - 2*h + 4 to the form k*h + r and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 5707*v - 5706*v - 26*v**2 + 119*v**4 - 90*v**4 as w*v**2 + g + y*v**3 + o*v + j*v**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4940\/1950)\/((-1)\/((-25)\/4)) and 49\/514.\nAnswer: 1542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of a**5\/270 - 5*a**4\/108 + 4*a**3\/27 - 3*a**2\/2 - 16*a. Let z(j) be the first derivative of s(j). Factor z(f).\nAnswer: 2*(f - 4)*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from niygzxgnnyxzggyx. What is prob of sequence ngz?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 603*a**8\/28 + 122*a**4 + 15*a + 6. What is the third derivative of f(r) wrt r?\nAnswer: 144720*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 9582*a - 4847*a - 13475 = 4980*a for a.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -99, -354, -781, -1380?\n\"Answer: -86*t**2 + 3*t - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 9*m + 6*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 24 = 7*r. Suppose -r*w - 4 = -5*w. Solve 3*j + w = -8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhohhohhoolhaahh. What is prob of picking 1 a and 1 l?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 99 - 7 + 104 + 324*h - 321*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 37*(-255)\/(-3774)*(2 + 98\/(-50))\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 51 and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 2*k + 437 - 458 = 0, 16*i = 4*k + 156 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 65 + (14 - (4 - 15 - -9))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -2*s**3\/9 + 24088*s**2 - 794842*s\/3 + 6069560\/9 = 0.\nAnswer: 4, 7, 108385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 166 divide 544930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (552\/(-240) - -2)*20\/(-3). Solve 4*n - 26 = 2*q, -16 = -2*n + 2*q + o for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 51490\/100 + (-2)\/(-20). Suppose -q + 2 = -0, -32 = 2*w + 4*q. Is l\/w*112\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 4 = 7*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28996 - 28995.9984501. Let h = n - 0.6014639. Let p = h - -0.6. Round p to five dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tbii when four letters picked without replacement from btbbibbqqbbbqqtbb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 58, 115, 172, 229, 286, 343?\n\"Answer: 57*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 + 4500 = -101*v for v.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 + 0 - (4228 + -4286)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 14. Let i be d(-19). Suppose -i*u = 1 - 41. Let b be 30\/20*u*(-3)\/(-9). Solve b*g - 5 = -g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -5*v + s, -v - s + 0 + 1 = 0. Suppose -3*c - 4*g = 19, 3*c = 4*c - 5*g + 19. Let j be 9*(6\/c - -1). Sort j, 4, v in descending order.\nAnswer: 4, j, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6237)\/198*20\/(-15)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 102707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the first derivative of 5*n**4\/4 + 5*n**2 + 10*n + 417. Let u(p) = p**3 + p + 1. Determine 30*u(v) - 3*z(v).\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28\/23 + -967\/207. What is the common denominator of 32\/21 and n?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 74, 54, 8253 in descending order.\nAnswer: 8253, 74, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**2 - 9*r + 6. Let u(a) = 3*a**2 - 17*a + 12. Let o(q) = 5*c(q) - 2*u(q). Give o(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -43.\nAnswer: 3\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -2*m + 9. Suppose -2*o + 0*p + m = p, o + 5*p = 29. Solve t - o = 4*n + 2*t, -2*t = -4*n - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -262*w**3 - 207*w**3 + 387*w**3.\nAnswer: -82*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1439, 2801, 4163, 5525, 6887, 8249?\nAnswer: 9611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1609 * -3.\nAnswer: 4827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2933 is divided by 489.\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 3627*y + 65300. Give z(-18).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*x + 3*x. Suppose 0 = 5*p - 0*p - 15. Let 2 - 1\/2*o**p - 4*o + 5\/2*o**x = 0. Calculate o.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*q + 20*q + 910 = 0. Suppose 0 = -9*v - 4*v + 65. Calculate the remainder when q is divided by v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26442 and 183690.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 0, 0.47, -5 in ascending order.\nAnswer: -5, 0, 0.47, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 156*w**2 + 3*w + 4. Is a(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13535 - -20479. Calculate the remainder when m is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*b + 20 - 62. Is 2 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49462 less than -1.2?\nAnswer: 49460.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -10\/302227?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 - 53. Let w = v + 17.00088. Round w to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -26648, -53300, -79952?\n\"Answer: -26652*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*g**2 + 763*g - 441.\nAnswer: -(g - 63)*(12*g - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h + 2. Let u be 4\/6 - 850\/(-30). Suppose -5 + u = -4*j. Give m(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*(o\/o**(-1\/3)*o)\/o*o)))**(14\/11)*(o**(-1\/2)*o*o*o)**27)**(5\/16) assuming o is positive.\nAnswer: o**(23675\/1056)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 32140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 13*s + 423 = 0. Let c(o) = -23*o**2 + 2*o + 3. Let i be c(-2). Let b = s + i. Calculate the highest common divisor of b and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-4))\/(g*g**(-8)))\/(g*g*(g**(-1\/3)*g)\/g*g*g*g)**26)\/((g\/g**0*g*g**(-2\/13))\/(g**(-8)\/g**(-3))) assuming g is positive.\nAnswer: g**(-4531\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -0.68, 2\/13?\nAnswer: -0.68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 5*s + 6. Let q(v) = 66 - 4*v - 138 + 66 - v**2. Let p(o) = 2*b(o) + 3*q(o). Let l be p(9). Do l and 58 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -11*o - 92. Let p(h) = -28*h - 94. Calculate the remainder when 215 is divided by p(o).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2103 - -3350. Calculate the highest common factor of y and 87.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(7 + -2) - (-84)\/5. Is 24 a factor of (-19 - b)\/((-6)\/20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 412 = p - 6*p, 4*t - 2*p = -558. Let a = 74 - t. Suppose 3*j + 30 = a. What are the prime factors of j?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(784) + 2*sqrt(784) - sqrt(784)))\/(((sqrt(252) - (sqrt(252) - 2*sqrt(252)))\/sqrt(12))\/sqrt(3)) + -2.\nAnswer: -2 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67252 is divided by 22048.\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 + 14*y**2 + 7*y - 17. Let n(r) = -r**3 + 13*r**2 - 10*r + 8. What is the remainder when d(-13) is divided by n(12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-196)\/(0 - 2\/(-4)). Let a be ((-92)\/32)\/((-1)\/(-138)). Let u = v - a. What is the common denominator of u and 101\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 4:54 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-3) - (-719)\/(-3). Suppose 4*a - 28 = 4*q, 5*q - 6 = 3*q - 2*a. Let z be q\/(k\/118 + 2). What is z rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + 0 + (32 - (80 - 0)) + -4\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9835680 and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -418\/5 + 79. Calculate the common denominator of a and 34\/7.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*z + 12*z - 9*z - z as l*z + u and give l.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -20053 - -38355. Let o = -4142 + n. Suppose 3*y - i = 13196, 3*y - 2*i - o = -968. What is y rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.227 + 0.035. Let y = -0.008 + m. What is the fourth smallest value in 1, -2\/17, y, -5\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*z**2 - 17 + 28 + 2*z - 2*z**3 - 12 to the form o + i*z**2 + y*z + b*z**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -84697549\nAnswer: -84697549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*b - 16. Let w = -30 - -18. What is the tens digit of 41\/3 + b\/w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -7a30b?\nAnswer: 7a306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5, 23, 49, 83, 125, 175?\n\"Answer: 4*z**2 + 6*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-22)\/(-3))\/((-10)\/(-6) + -2). Which is smaller: i or -23?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -a - 23, 2*x - 58 = 5*a - 2*a. Let h be (-18)\/30 - 72\/a. Solve 0*s + h*s + 15 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**2 - 3049512*y - 774960286512 = 0.\nAnswer: -508252","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36731 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -201 - -201.4. Sort 0, -2, z, 1\/10 in descending order.\nAnswer: z, 1\/10, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 0*o - 15 = 0. Suppose o*x = -735322 + 2435322. Suppose 6*h = 4*h - x. What is h rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -36 - -17. Let c = k - -29. Suppose c = 5*q - 5*r, -2*r = 2*q - 0*r + 4. Solve 0*m + 2*m - 10 = q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1239326148*a*b**2 - 1372762430*b**2 wrt a.\nAnswer: 1239326148*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g + 0*g + 3*g + 10*g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 812*r + 53553. Determine g(-66).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m - 5 + 5)*((0 + 4 + 0)*(-4 + 3 - 1) + 9 - 11 - 4 + 1 + 2 - 5)*(3*m + 2*m - 3*m) to the form w*m + h*m**2 + s and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 4*b**5 + 142*b**4 - 765*b**3 + 1660*b**2 - 1466*b + 418. Let i(l) = l**5 + 2*l**4 - 2*l - 2. Let h(j) = -35*i(j) + 5*p(j). Let h(c) = 0. What is c?\nAnswer: 2\/3, 1, 2, 3, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-seven halves of a kilometer in meters?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 3163686?\nAnswer: 15818430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of -o**6\/2160 + o**4\/36 + 2*o**3\/3 + 7. Let f(m) be the third derivative of d(m). Suppose f(i) = 0. What is i?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1\/3, -2\/11, -0.3 in descending order.\nAnswer: -2\/11, -0.3, -1\/3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 0*z**2 + z + 0 - 1\/3*z**3. Let f(c) = -c**2. Give m(f(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 + 33.77. Let u = 45 - b. Let r = u + -0.2299981. What is r rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(114)\/(sqrt(24)\/sqrt(4)) + 3*sqrt(38)\/sqrt(2) + sqrt(19))**2.\nAnswer: 475","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i + 15. Let b be t(3). Let o(p) = p**3 + 7*p**2 + 7*p + 5. Let s be o(-4). Find the third derivative of 12*f**b - s*f**6 + 2*f**2 - 9*f**2 wrt f.\nAnswer: -1560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, s: 1, w: 1, z: 2, g: 2}. What is prob of sequence sgq?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4778 is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j. Let b(o) be the second derivative of o**3 + 5*o. Suppose -3*n - 5*q - 11 = 0, 0 = 3*n + 497*q - 502*q - 29. What is n*s(y) + 2*b(y)?\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -10\/11, -1\/10, 42, -0.4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + 0. Let a(o) = 3*o**2 + 5*o - 4. Let t(q) = -10*q**2 - 14*q + 12. Let i(l) = 7*a(l) + 2*t(l). What is the least common multiple of i(-8) and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of 23*d**4\/4 + d**3\/6 + d. Let k be a(-1). Let o = k - 36. What is the remainder when o is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + (-20 - -19) + (-1 - 26)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 7*o. Let z be l(-4). Suppose 4*j - z = 8. Suppose 5*k - d - 262 = 0, j*d = -7 + 22. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -21043 + 11?\nAnswer: -21032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mqxp when four letters picked without replacement from mxqpmpqqmpmmp?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 339*b**2 - 2*b - 1. Let a be f(-1). Let o = a + -262. Calculate the greatest common divisor of o and 130.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -u - 2*u. Suppose -51 = -4*c + u. Is 15\/6*(c - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/21 - (-91582)\/6. Suppose -5*o - j = 747 - l, 0 = 2*o - 4*j - 5820. Suppose o - 617 = h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*n**3 - 177*n**2 + 318*n - 168.\nAnswer: 3*(n - 4)*(n - 1)*(9*n - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-126)\/(-119))*134 + 8.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*h)*(-2*h + 5*h - h) - 178*h**2 + 156*h**2 + 20*h**2 + 14*h + 302 in the form z*h**2 + a*h + m and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = g + 2*k, 75*g = 76*g + 5*k + 6 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-26)*t*t)\/t)**19\/(t**37)**(-7\/4) assuming t is positive.\nAnswer: t**(-1565\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -4345030 to the nearest 100000.\nAnswer: -4300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*2*sqrt(143)*2)\/(-3*(-2*sqrt(539) - sqrt(539))).\nAnswer: -8*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - z = -2, -z - 17 = i + 4*z. Let f be (i - 0)\/((-1)\/55). Let j = f + 369. Is j a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3376, -0.03, -35 in descending order.\nAnswer: 3376, -0.03, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -19136362 + -1?\nAnswer: -19136363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 399483?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 100*v + 288. Calculate g(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q, 1 n, and 1 l when four letters picked without replacement from {y: 2, l: 2, b: 1, q: 5, n: 1, o: 4}.\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 118, 420, 902, 1552, 2358, 3308?\n\"Answer: -2*x**3 + 102*x**2 + 10*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 2*p + 28, -4 = -2*p + 4. Suppose -3*c - 12 = -2*n, -2*n - 20 = -4*n - c. Calculate the remainder when n is divided by (s\/2)\/(0 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 2. Let l(w) be the first derivative of -w**3\/3 + w - 1. Let h be l(r). Let j(x) = x**3 + 2*x**2 - 2*x - 3. Give j(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - 11200302?\nAnswer: -11200223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*52\/(-2275)*(-20)\/12.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-5*sqrt(4131) - sqrt(4131) - sqrt(4131)) - sqrt(4131))\/(sqrt(3) - 4*sqrt(6)\/sqrt(2) - -2*sqrt(27)).\nAnswer: -129*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 8*b**2 - 3*b - 9. Is t(-6) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 114*u**5 - 56612*u**4 + 6*u**2 + 1150*u + 2435 wrt u.\nAnswer: 6840*u**2 - 1358688*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3*n**3 + 57*n**2 - 66*n - 120 = 0.\nAnswer: -20, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 231821 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5 = 2*b, -41100*y - 9 = -3*b - 41107*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/4047740 and 7\/6476384.\nAnswer: 32381920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3722\/(-74440))\/(3\/(-2820))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + z = 624362, 0 = 2*x - 2*z - 335962 + 23796. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 70\/(-315)*45\/40. Which is the nearest to 0.3? (a) -1\/3 (b) s (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4972 to the nearest integer.\nAnswer: 4972","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 - 3*o**2 + 5*o + 4. Suppose 2*m + 14 = 4*r, -r - m + 5 = -0*m. Suppose -r*w - 17 = -1. Give b(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 27\/6 + 1\/(-2). Suppose o*c = 2*h, -5*h + 3*c + 16 - 2 = 0. Differentiate 2*l**4 + 2 - 3*l**h + 4*l**4 - 2*l**4 with respect to l.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -718 (b) 2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7*r - 5*j - 55, -r = 13*j - 14*j + 17*j + 59 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 283*m + 6033 - 49502 = -1312*m + 53826 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*((2 + (sqrt(275) - 2*sqrt(275)) - (5 + (2*sqrt(275) - sqrt(275)))) + 6*(sqrt(275) + (-2 + sqrt(275))*-2)))**2.\nAnswer: -62880*sqrt(11) + 650761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1877250459?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, n: 1, y: 1, u: 1, k: 1}. Give prob of picking 1 u, 1 b, and 1 n.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -270*c + 266*c - 1060 = 16*a, a + a + 4*c + 136 = 0 for a.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/10 (b) 1 (c) 2\/15 (d) 317397\/20\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 73?\nAnswer: -219","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u - 2 + 2 + (3 - u - 3)*(2 - 4 + 0) + (5 - 2 - 2)*(2*u - u + 2*u).\nAnswer: 7*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -15*j**2 + 179*j + 44. Let d be z(12). Put 3, -1, -16, d in ascending order.\nAnswer: -16, -1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22 - (-98)\/(-14) - 12. Let f be 0 + (-2)\/(-11)*1. Put a, -0.1, f in descending order.\nAnswer: a, f, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41*p**2 + 41*p**2 + 19*p**3.\nAnswer: 19*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q + l - 29, -439*l + 434*l = -q - 21 for q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*s = 7012 + 2375. Calculate the remainder when s is divided by 90.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13914, 55549, 124884, 221913, 346630, 499029, 679104?\nAnswer: 886849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 319120891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -11*w**9\/168 + 17*w**5\/30 + 17*w**2. Find the third derivative of k(z) wrt z.\nAnswer: -3960*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-945)\/(-42) - 42) + 0 + 12)*(-8)\/6\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -48 + 80*a + 4*a**3 + 96 + 83*a**2 - 47*a**2.\nAnswer: 4*(a + 1)*(a + 2)*(a + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -258*t**2 - 4652*t - 203. Determine v(-18).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30417.3681 rounded to the nearest one thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 7*m**3 + m**2 - m - 1. Calculate j(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -292*s + 23538. Calculate z(82).\nAnswer: -406","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 105 + -80. Suppose 5*y = 5*z - 30, 2*z = -3*y + 2 + b. Solve -2*n + 7 = -n - f, -3*n + z = 3*f for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = 4*t - 292, -t + 69 = -3*g. Let h be 10*t*19200\/1. Suppose 2*n + h = 5*n. Round n to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-4\/5)*g*g\/(g\/g**(-2))*g)**(-2\/13)*((g\/(g\/g**(-1)))**(-31\/5))**(-14\/3) assuming g is positive.\nAnswer: g**(-5648\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-7)\/(i**(2\/3)*i))**42 assuming i is positive.\nAnswer: i**(-364)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83874 - 83874.00071943. What is x rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 215645328131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (7\/2 - 6)*(9 + -13).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2536795 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -52 - -94. Calculate the remainder when l is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -165, -168, -173, -180, -189?\nAnswer: -200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-6))\/(1 + 6\/(-5)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*b - 0*b. Find the first derivative of -3*f**3 - 3*f**3 - 22 + b - 7*f**3 wrt f.\nAnswer: -39*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + sqrt(1100) + 0 + (sqrt(1100) - (sqrt(1100) - (2*sqrt(1100)*-6)**2 - sqrt(1100))) + 2 + -2.\nAnswer: 20*sqrt(11) + 158405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48890, 48891, 48894, 48899, 48906, 48915?\nAnswer: 48926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 3*u + 6 = -0*g, -4*g = -5*u + 10. Suppose g = -18*r + 13*r + 45. Solve -r*l + 8*l + 4 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + -0.1. Let z = 1456 - 1459. What is the nearest to 0 in z, h, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 5*o**2 - 6*o - 7. Let b be a(-5). Suppose -v = -2*q + 129, 1 - 7 = -2*v. Suppose -b = -k + q. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-2)*-4 - (53 + -50)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2545*m + 893*m - 323247 = 1268*m - 3501*m for m.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -18*x**4 - 850*x**3 + 5536*x**2 + 1272*x = 0.\nAnswer: -53, -2\/9, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 29285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 542, 929, 1316, 1703, 2090?\nAnswer: 2477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 - -2*2 - 0. Suppose -2 = 2*a, 4*a + 2 = 3*v - 8. What is the greatest common factor of v and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csd when three letters picked without replacement from dhdshddvhddddsscdsd.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8646 = 992*m - 1843 + 7561 + 11428 for m.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 304?\nAnswer: 1520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*z + 2 + 7*z**4 - 8*z**4 + 3*z + 13*z**4 to k*z**4 + g + y*z**2 + a*z**3 + c*z and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -86 - -259. Suppose 5*l + b - 193 = 0. Suppose 0 = -5*i - 4*m + 113, 2*i - 5*i - m + 72 = 0. Solve -5*c = -l*p + 5*p - 27, -5*p = 3*c - i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -2 + 4 + -16*228\/(-8) is divided by 144?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvuhvhhhhvhhhuhvuhu. What is prob of picking 1 u and 1 h?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 16622 - -3?\nAnswer: 16625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 2 = 3*c. Let z(y) = 83*y. Is z(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + v**2)*(2 + 3 - 3) + 201*v**2 - 323990 + 323990 + 415*v**2 - v + 129*v**2.\nAnswer: 747*v**2 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = u - 5*q - 14, 3*u - 2*q = 89. Suppose 0 = 4*g - 3*g - u. Suppose l - g + 8 = 0. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5662.\nAnswer: 2, 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37636865 is divided by 6049.\nAnswer: 6036","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4057576*y**5 - 448675*y**2 + 3*y wrt y.\nAnswer: 243454560*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1000 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k**3 + 4*k**2 - 8*k - 4. Let y(o) = -14*o**3 - 11*o**2 + 23*o + 11. Suppose m - 4*q + 4 = 8, -m + 4 = 2*q. What is m*y(a) + 11*w(a)?\nAnswer: -a**3 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + -4. Let u = -6 - k. Solve 0 = 2*w + u, -5*d + 3*w = w - 4 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 3*z - 15. What is x(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35884 - -35883.966505. Round u to 2 decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/(-9))\/(40\/((-150)\/15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s**3 - 3*s**2 - 7*s + 11. Let u(z) = -5*z**3 + 4*z**2 + 5*z - 13. Calculate 6*j(l) + 5*u(l).\nAnswer: -l**3 + 2*l**2 - 17*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6338?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 + 15. Which is smaller: 1\/3 or d?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 541362 or 1624088\/3?\nAnswer: 541362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 82*w - 571. Let r be h(7). Let u(c) be the first derivative of 45 + 0*c**4 + 8\/3*c**r + 0*c + 0*c**2 - 2\/5*c**5. Factor u(v).\nAnswer: -2*v**2*(v - 2)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, f: 1, c: 5, v: 1, g: 3, z: 2}. Give prob of sequence vcf.\nAnswer: 5\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fjej when four letters picked without replacement from jkemjwwf.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ybybyybyyybyyyyybyy. What is prob of sequence ybby?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-208)\/168)\/(((-280)\/24)\/(-35))?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000171184555 to 5 dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2495*h. Let b(p) = 28094*p. Give g(b(l)).\nAnswer: 70094530*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, i: 2, e: 1, g: 2, j: 1, t: 1}. What is prob of sequence te?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 5*l + 3. Calculate r(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (2\/5)\/((-323802)\/23130 - -14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8315798593 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 + 2957952*w - 1478961*w - 8 - 1478990*w.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 36*c**2 + 741*c - 1623. Give h(-52).\nAnswer: 3109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 17391 = 13*x - 2*o, 0 = -x + 3*o + 17387. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/5)\/h)\/(h\/(h\/h**3)))**(2\/27) assuming h is positive.\nAnswer: h**(-14\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)*o*o**(5\/2))**(-4) assuming o is positive.\nAnswer: o**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 383456*v - 7. Let s be y(1). Suppose s = -2*i + 46249. Round i to the nearest ten thousand.\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 42358605?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 - -5. Let j = 107\/4 - 27. Let h = -2 + 2.5. Which is the closest to j? (a) h (b) m (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 2*p - 13, 4*z = 8*z + p + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(6) - (sqrt(6) + sqrt(96)*-1)) + sqrt(24)*-3)\/(5*sqrt(243)*4)*1)**2*-2.\nAnswer: -1\/2025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 5. Let n = 0.0758 + -0.2758. Let s = -0.2 - 0. Which is the closest to s? (a) w (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a decade in months?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 11:11 AM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5247322651 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(((r*(r\/r**14)\/r)\/r)\/r*r*r))**(-2\/5))**(1\/31) assuming r is positive.\nAnswer: r**(-28\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.323 + -0.677. What is the closest to -1\/2 in 0, -4\/37, k?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1454 = 9*v + 1823. Which is smaller: -47 or v?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 223*a**3*r**2*s**2 - a**3*r*s**3 - 606155*a**2*r*s**3 + a*r - 914*r**2*s**3 wrt r.\nAnswer: 446*a**3*s**2 - 1828*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -19*(3 - (1 + 3)). Suppose 0 = -5*o + 26 + a. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (276*(-222)\/(-40848))\/((15\/(-138))\/5).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 262, 516, 758, 982, 1182?\nAnswer: 1352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 7*t = -4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1471, -3, 60.\nAnswer: -1471, -3, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 30137?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/15340 and 85\/11726.\nAnswer: 6918340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 580656126 or 580656127?\nAnswer: 580656127","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.5 - -2. Let p = -0.5 - a. Is p at least as big as -11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -4*v**2 + 49*v - 8. Let x be r(12). Let a be x\/(-2 - 2)*5\/(-60). Let h = 0.07 + -5.07. Which is bigger: a or h?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 = 0, -6*j + 3*j + 7 = -p. Let z = p + 31. Solve 5*o + 0*o + z = 2*q, 18 = -4*q - 2*o for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in -0.4, 1512, -1\/535?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681 is divided by 90?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2 - 122905544*f - 944110796620996.\nAnswer: -4*(f + 15363193)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*k - 5*k + 0*k + 3*k + (4 + k - 4)*(1 - 2 - 1) + 0*k - 3*k + k)*(-k + k - 3*k).\nAnswer: 24*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20\/13 in 1, -3, -3\/7, -1, 0.6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 i, and 1 z when three letters picked without replacement from {z: 4, h: 6, i: 1, o: 3, c: 1, q: 1}.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-12))\/(y**24*y))**(16\/9) assuming y is positive.\nAnswer: y**(-64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = m + 2*b - 10, 0 = -m - 5*b - 20. Suppose m*a + 7049 = t, -6*t + 3*t + 4*a = -21125. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/64*(-240)\/104 and 61\/780?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 5) to base 11.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5\/3, -16\/3, -4?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7325 + -4757. What are the prime factors of o?\nAnswer: 2, 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 5 = -c, 3*c = -0*x + x + 1. What is the second smallest value in x, 2, -0.4, 2\/191?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/5*32\/192.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2926 - 15162 = -q. Is q\/32 + (-2)\/8 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.3 take away -22.3?\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 AM and 7:34 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*b - 600 = -45*b + 8414 + 3314 for b.\nAnswer: 92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/1611548 and 37\/657.\nAnswer: 14503932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = 3*r - 5*d, 27 = -6*r + r + 2*d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 1 - 14. Suppose 2*m + 4*u - 92 = 0, o*m - 2*u - 135 = -5*u. Suppose -22 - m = -3*n. Solve 3*v + n = 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91 + 93. What is the fourth biggest value in 1\/3, 3\/5, 2\/11, c?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 275862727?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/3 - 12\/(-180)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -894d - 5?\nAnswer: -8952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1255, 1043, 693, 205?\nAnswer: -421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 15 = 5*h, -h - 9 = 4*q - 2. Is (46731 - -3)*(-1)\/q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 6*a**2 + 4*a + 3. Calculate the remainder when 29 is divided by u(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -95 (b) -0.3 (c) 5 (d) -0.1 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-11) + (-20)\/11. Let h(s) = -6*s - 3. Let j be h(p). Let l(t) = -t**3 - 3*t**2 - 5*t + j - 2 + 0*t**3 - 4*t**2. What is l(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1178763 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: What is 445 minutes before 8:59 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1938434 != -1938434?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -204 - -203. Let o(s) be the third derivative of 11*s**5\/120 - s**4\/24 - 2*s**3\/3 - s**2. Let y(u) be the first derivative of o(u). Give y(k).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5 = 0, -336 = -t + 2*l + 22. Let s = 577 - t. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8*12\/((-192)\/20)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*f + 23 = 0, -2*t + 2*f + 6 + 4 = 0. Suppose t*k + 89 = -339. Let x = -58 - k. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447027163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**3 - 219*n**2 + 35244*n - 678240.\nAnswer: -3*(n - 60)*(n - 24)*(n + 157)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 8*x + 50. Let c be a(-12). Solve -2*q = c*q + q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4075 + 81473\/20. Calculate the common denominator of 0 - ((-97)\/12 - -1) and c.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v = 45. Let u = -5 + -2. Which is greater: v or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-216)*-9)\/(9\/126)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -123 + 344?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 + 10. Suppose -4*w - 2*g + 0*g = -36, 5*g = 10. Let f = k + w. Solve -4 = -f*b - 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**2 - w + 2. Let a be j(0). Let o be (-2 + -5 + a)*1. Let k = o - -10. Solve 13 = -k*n - 7 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*z - 189 = -54. Let j(g) = -29*g - 9. Let l(r) = -7*r - 2. Determine z*l(x) - 2*j(x).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 213 + -163. Is p a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -3 + 0 - (41 + -7).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 89, 90, 91, 92, 93?\n\"Answer: g + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11977 is divided by 99?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - (sqrt(171) - 5*-1*sqrt(171) - sqrt(171))) + sqrt(171) - -5*sqrt(171)*4)\/(4*sqrt(1089) - -1*sqrt(9)*-1).\nAnswer: 17*sqrt(19)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z - w = -3*z + 66, -4*w - 72 = 4*z. Let j be (-3)\/(-6)*z\/(-1). Find the second derivative of f**3 + j*f - f**3 - 20*f**4 + 11*f**4 wrt f.\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 0.5 (c) 2\/29 (d) 1 (e) 0.8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -20427, -40519, -60621, -80739, -100879, -121047?\n\"Answer: -d**3 + d**2 - 20088*d - 339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5552298.\nAnswer: 2, 3, 47, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 3*x = -17, -20*z + 3*x = -23*z - 9 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -78?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 251, 375, 501, 629, 759?\nAnswer: 891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 + t**5 + t**4 - 1451*t**3 + 727*t**3 + 2*t**2 + 1 + t + 722*t**3.\nAnswer: (t - 1)**2*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + sqrt(40)\/sqrt(8)) + (sqrt(210)\/sqrt(6))\/sqrt(7)*-4)**2.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -237.6 - -241.6. Which is the second smallest value? (a) 8 (b) l (c) -1\/5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, -2\/7, 142 in descending order.\nAnswer: 142, -2\/7, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 30 = 2*l - 6*r, -r = -2. Let d = -8 - l. Suppose -4*b = g - 35, 5*g + d*b - 60 = 81. What is the remainder when g is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-96)\/56)\/(4\/(-14)). Let r(c) = 5*c + 6. What is the tens digit of r(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 98 - 150. Let u = i - -31. Let h = u - -32. What is the remainder when 42 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 5:11 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 93521220 rounded to the nearest 10000?\nAnswer: 93520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5800970255 to the nearest integer?\nAnswer: 76164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2127, -3872, -5233, -6210, -6803, -7012, -6837?\nAnswer: -6278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-2\/7))**(2\/5)*(s*s*s*s*s**(-2\/15)*s*s*s)**(7\/5))**(2\/9) assuming s is positive.\nAnswer: s**(9974\/4725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 0*n = -3*n + 1, -3*k = -5*n - 21. Let a(f) = 2*f**2 - f**2 + 0*f**2 - 5*f**k. Let h(j) = -j**2. Determine a(h(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 3, 0.05, -1\/5, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 - 2*m - 1. Let d(l) = 14*l**3 + 13*l**2 - 16*l - 10. Let f(j) = -2*c(j) + d(j). Let i(q) = 9*q**3 + 10*q**2 - 8*q - 5. Give -5*f(u) + 8*i(u).\nAnswer: 2*u**3 + 5*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + (2 - (1 - 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, a: 2, y: 2, v: 4, x: 2, g: 4}. What is prob of sequence ayvy?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8, -23, -54, -107, -188, -303?\nAnswer: -458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**2 - 3*r + 1. Let c be v(4). Let d = 6 - c. Let n(k) = k + 2. Let f(h) = -1. Let w(l) = d*n(l) + 2*f(l). Let u(m) = m. Calculate w(u(a)).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -316 - 46 + 2*k - 70 - 6*k + 11 to the form j*k + g and give g.\nAnswer: -421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -21, -13 in ascending order.\nAnswer: -21, -13, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*q - 8*q - 2*s = s + 4, 0 = 5*s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 504.5787 to zero decimal places.\nAnswer: 505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (4\/((-8)\/(-3)))\/((-42)\/420*480\/2336)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 77199 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1382 - -1968. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 189175132 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -285955*p**3 + 97*p**2 + p + 198 wrt p.\nAnswer: -1715730","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35)\/(-245) - (-20)\/15*9\/(-84)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/((3 + (-5)\/2)\/(6*(-18)\/108)). Solve 23\/6*i + 11*i**3 + 34\/3*i**2 + 10\/3*i**w + 0 - 1\/6*i**5 = 0.\nAnswer: -1, 0, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43486?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -7*(-2 + 12\/7) - -4. Let u(j) = -11*j**3 - 3*j**2 + 12*j - 11. Let k be u(1). Sort 2, g, k, 1 in increasing order.\nAnswer: k, 1, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -835*b**3 + 407*b**3 - 5*b**2 + 414*b**3 + 3*b**2 to the form j*b + g*b**3 + l + d*b**2 and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b15 - -5?\nAnswer: -b10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 12*g**2 - 13*g - 6. Let b(h) = -4*h**3 - 37*h**2 - 40*h - 17. Let v(w) = -2*b(w) + 7*z(w). Let q be v(11). Is -8 greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3905*a - 7771. Let k(h) = 5204*h - 10361. Let b(j) = 13*f(j) - 10*k(j). Find the first derivative of b(y) wrt y.\nAnswer: -1275","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -5*t**4 - 70*t**3 - 320*t**2 - 570*t - 315 = 0?\nAnswer: -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1472.743446 to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of -2 + 3*q + 2*q**2 + 1\/3*q**3. What is o(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -967561.882 rounded to the nearest 100?\nAnswer: -967600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmdd when four letters picked without replacement from {d: 10, m: 2, l: 4}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1206717*b + 66 = -2*h + 1206710*b, b + 3 = h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*l - 7, -2 = h - 4*h + 4*l. Suppose -s = -1 - h. Suppose -s = -2*v - v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/232)\/(165\/720).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.2 + -2.8. Let d = 8 - 2. Let k be d + -8 - (-5)\/2. What is the second smallest value in k, -2\/5, w?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -382\/1095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 11*n - 66. Let j be b(8). Suppose -351 = 21*l - j*l. List the prime factors of l.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39900 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20184049 by -95659.\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 176 and 1804.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2488 - 2493. Let r = -0.2 + 3.2. What is the closest to -7 in 1, r, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 150*p - 2*p - 338 = 11*p. Let h = -7 + -5. Put p, 5, h in decreasing order.\nAnswer: 5, p, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 603*c + 44626. What is f(-74)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -13*w**3 - 6*w**2 - 4*w - 1. Is v(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1418421 (base 10) to base 9\nAnswer: 2601633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 872 + 160. What is the hundreds digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44769, 85739, 126709?\nAnswer: 167679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1360, -4936, -15420, -30086, -48928?\nAnswer: -71940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 26.694 and -43773039?\nAnswer: 43773065.694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23 or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14198 + -22.00698. What is q rounded to 0 decimal places?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 533150626?\nAnswer: 2, 23, 11590231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 3*d + 2, 286*d = 294*d - 4*q + 12 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92431679?\nAnswer: 92431679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*d**3 - 11*d + 3*d + 8*d.\nAnswer: 19*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 - 5)*4\/(-1)*(-27)\/(-72). Let b = 4 - -11. Sort b, p, 5, -5 in decreasing order.\nAnswer: b, 5, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z - 1. Let x(c) = -4*c - 3. Let m(j) = 3*o(j) - x(j). Let b = -853 - -2321. Let w(g) = -735 - 733 + b + 6*g. Calculate w(m(s)).\nAnswer: 6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = -9*b - 4. What is the greatest common factor of b and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71\/6 + -25\/2. Let p = -0.2 - 0.3. Which is the second smallest value? (a) 0.5 (b) p (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(54\/258) + (6 - 11)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(7260) - 1*sqrt(7260)))\/((sqrt(900) + -3*sqrt(900))\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -579005 (base 11) to base 15\nAnswer: -1327a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_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: Let s = 39 + -38. Let x be 93 + -19 - (s - (1 + 0)). Let o = -30 + x. What is the highest common divisor of o and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133 - -184. Let x = 852 - f. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (54\/39)\/3*(-6)\/((-84)\/7).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 3:14 PM?\nAnswer: 3:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-1887)*37)\/((-7)\/84)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4*i + 36. Let r be 9\/(-6) - 21\/i. Let z = r + 13. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1718317143 to the power of 1\/4, to the nearest integer?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 535\/44 + -120\/11. Let y(d) = 7 + 4 - 4 - d. Let m be y(5). Which is bigger: a or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1318 is divided by 42.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + q**2 - 1 + (0*q**2 - 4*q**2 + 2*q**2)*(0 - 3 + 1) + (0*q + 2*q - 4*q)*(43*q - 124*q - 14*q).\nAnswer: 195*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 + 9. Let c be 3 + (-3 - v) - 0. Let k be ((-9)\/(-36))\/(c\/8). Solve 8 = -5*b + 3*u, 4*b - 2*u + k + 5 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2309 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 107535095?\nAnswer: 5, 211, 101929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 14. Let h = 18 - 10.5. Let a = x - h. Put -3, -1, a in ascending order.\nAnswer: -3, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 6*h + 3. Let c(f) = 11*f + 5. Let m(q) = -3*c(q) + 5*g(q). Let x(k) = 3*k**2 + 9*k - 9. Let y(r) = -r + 1. Let w(t) = -x(t) - 9*y(t). Give w(m(n)).\nAnswer: -27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*p = -15, 4*j + 10 + 0 = -5*p. Let m = j + 17. Solve 3*n = -n + m for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + (-1 - 2) - -7. Suppose -3*s + 3*z = 12, u*s + s = -4*z + 16. Suppose s = -d - 2*d + 33. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2081 - 962.2081. Let h = 66678.58 + -65716.57159. Let g = h + d. What is g rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - 0. Let k be (-54)\/(-4) + -3*(-2)\/g. Let n(b) = 8*b**2 - 11. Let j be n(4). What is the greatest common factor of j and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z*z**(3\/7)*z)\/z)\/z*z)\/(z**(1\/10)*z*z))\/(z*z**(-12)\/z*z**(-2)) assuming z is positive.\nAnswer: z**(1003\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 13*q - 826*q**3 - 1 + 21 + 827*q**3 + 12*q**2. Give w(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12, -35, -68, -111, -164, -227?\n\"Answer: -5*p**2 - 8*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3787283.18058 - 163?\nAnswer: 3787120.18058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 50, -176, 2, 3, -4, -7 in descending order.\nAnswer: 50, 3, 2, -4, -7, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92435321.\nAnswer: 11, 23, 365357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 5*g**4\/8 - 255*g**3\/2 - 4725*g**2\/4 - 7155*g\/2 - 191. Find t such that z(t) = 0.\nAnswer: -3, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) + -4 - (sqrt(33)\/sqrt(3) + -4))*-2)**2 - ((sqrt(132)*-1*1)\/((sqrt(60) - -1*sqrt(60))\/sqrt(5)))**2.\nAnswer: 1573\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -8?\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 107428587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -24, 6, 3, -3 in ascending order.\nAnswer: -24, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*z = 3*k + 179, -3*k = -2*z + 56663 - 56629 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 13. Let l be (-1 - n)\/((-7)\/21). Suppose -3*b = l - 51. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 53489 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c. Let a be r(-3). Suppose -5*o = 5*z - 4*o - 20, -a*z + 4*o + 12 = 0. Suppose l + z = -3*l. Which is smaller: l or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 4 + (3*(3 + sqrt(2057)) - 3*4*sqrt(2057)).\nAnswer: -99*sqrt(17) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7d7ac (base 15) to base 11\nAnswer: -253575","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and 0.0771.\nAnswer: 0.4771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 15 = 3*k, 3*k + k - 20 = -2*q. Let z be (-56 + -4)*(q + -1). Suppose z = -c + 6*c. Does 12 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(99)*-1)\/(-3*sqrt(144)))**2.\nAnswer: 11\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {s: 4, u: 2, n: 2, t: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 30 = 3*n. Let s be (-1 - -37)*1\/2. Let q(f) = f**2 - 20*f + 38. Calculate the remainder when n is divided by q(s).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 62, -3.\nAnswer: -3, 2\/7, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 + 9 - -2 - 3) + -10.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 434, 855, 1278, 1703, 2130?\n\"Answer: v**2 + 418*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475)*-1 - sqrt(475))*3 + -1 + (5*sqrt(152)*1)\/(-1*(1*sqrt(8) - sqrt(8) - sqrt(8))).\nAnswer: -25*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 - 12*a**2 - 28*a + 23. Let f be (41 + -40)\/(1\/10)*-1. What are the prime factors of i(f)?\nAnswer: 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6726 + 4671 = -137*h for h.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q - 13. Give z(14).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3282 (base 9) to base 4\nAnswer: -211313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 - 17*q**2 + 53*q - 28. Calculate a(13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 82*o + 163*o + 55 = 76*o, -3*t - 2*o - 1 - 28 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**3\/4 - 55198*l**2 - 3048805360*l - 219227932800.\nAnswer: -(l + 72)*(l + 110360)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7\/4 + (-30)\/40)\/1. Let m be 1\/v*(4 - (-9)\/(-3)). Solve -3*u = -3, u + m = 2*a + 8 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110420 (base 7) to base 15\nAnswer: 5b48","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -6*n**2. Let k(x) = -9*x + 3. Determine g(k(a)).\nAnswer: -486*a**2 + 324*a - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 40811.44 to the nearest 10.\nAnswer: 40810","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 5*u**2\/3 - 2248950*u + 13493680\/3 = 0?\nAnswer: 2, 1349368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -764, -3057, -6870, -12197, -19032, -27369?\n\"Answer: d**3 - 766*d**2 - 2*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40845773 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 53 + 316. What is the common denominator of (3\/(-10))\/(54\/z) and (-4)\/(-14) + (-671)\/(-126)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 161411904?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 194446000 rounded to the nearest one million?\nAnswer: 194000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**7\/840 - w**6\/180 - 7*w**4\/24 - 2*w**3\/3 - 5*w. Let r(p) be the second derivative of v(p). Does 14 divide r(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2520 and 723555?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:30 AM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/1)\/(-3) + 3. Suppose -p*n + 6 - 6 = 0. Suppose n*y + 4*w - 20 = -y, 0 = 5*y + w - 138. What is the greatest common factor of 196 and y?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vus when three letters picked without replacement from uusvu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3*o = 3*z + 4913788, -4*o = -2*z - 19655162. Suppose 8*t - 1769791 + o = 0. Round t to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 62266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4689143 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 + -28*(-3 + 4). Let f be (-6)\/(-27) + 1167\/r. Let p = 67 + f. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7735311923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -178607*s**3 - 134*s + 4060.\nAnswer: -1071642*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6777724?\nAnswer: 2, 269, 6299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**3 + 2*q**2 - 1. Suppose -x + l + 1 = -2, 4*l = -8. Let u be m(x). Suppose -3*t - 8 = -u*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 + 54*c + 1757. Give o(77).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3 (b) -0.1 (c) 0 (d) 3\/5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 0.16356.\nAnswer: 0.08178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 5*a = -96, -18*a = -3*z - 62500 + 62941 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9)\/p)\/(p\/(p**(-2)*p))*(p**2*p)**24 assuming p is positive.\nAnswer: p**(623\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 82 a factor of 7134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.06 - 3.06. Let k = -1.5 - r. Let g = 4.5 + k. Is 0.2 greater than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 3 = 181*m - 180*m, -v = 4 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 19. Let a = k - -38. Is 14 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163732 is divided by 147?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x**3 - 2*x**2 - 29*x + 31. Suppose -5*g = -6*g + 9. What is the units digit of j(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + (15 - 7) + -13?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -102 divided by 101\nAnswer: -102\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(432))*-1 - (2*sqrt(3) + -2)*-4)**2.\nAnswer: 64*sqrt(3) + 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 239076955 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((sqrt(132) + sqrt(132)*2)*6)\/((sqrt(48)\/sqrt(2))\/sqrt(2)))**2.\nAnswer: 144*sqrt(11) + 3580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 492 and 72742.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0090172 nanometers to centimeters.\nAnswer: 0.00000000090172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1679912 = 13*m - 7807501. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*r**2 - 22*r**2 - 7 + 6 to the form x + h*r + v*r**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -89 - -91. Which is the fourth biggest value? (a) -0.1 (b) 0.1 (c) p (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 3*d = 163, 0 = -605*d + 592*d + 65 for t.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (154 + -2)) + 35479 + -35444.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29 + -17. Let q be (18\/o)\/((-9)\/(-12)). What is the tens digit of -78*q*((-22)\/6 - -3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13114*o**3 + 9498*o.\nAnswer: 78684*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -4*l - 512 + 255 + 257. Let n(v) be the first derivative of -2*v**2 - 1. Determine y(n(x)).\nAnswer: 16*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3311)\/55 + 18\/15. Which is the closest to -1? (a) x (b) -1\/3 (c) 0 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhqw when four letters picked without replacement from {h: 5, l: 5, q: 1, w: 1}?\nAnswer: 1\/594","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 843*k - 16002*k + 317354 = -985 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 1101*h**2 + 31848*h - 13670400.\nAnswer: 3*(h - 89)*(h + 200)*(h + 256)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55915301?\nAnswer: 13, 103, 41759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 126\/(-15)*((-10300)\/721)\/50\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/935732 and 109\/63932.\nAnswer: 10293052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 13064 divided by -4?\nAnswer: -3266","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -752746, -1505485, -2258224, -3010963, -3763702?\nAnswer: -4516441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*h**3 + 12278517*h**2 - 24557043*h + 12278523 = 0. Calculate h.\nAnswer: -4092841, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/32772217 or 1?\nAnswer: -2\/32772217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -10 (b) -457 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 52 = -19. Let t = 0 + -17. Let d = k - t. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the third derivative of -x**6\/20 - x**5\/30 + 2*x**4\/3 - 4*x**3\/3 + 8*x**2. Find d, given that j(d) = 0.\nAnswer: -2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56\/41, 18, -253.\nAnswer: -253, -56\/41, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*i*n**2 - i*n*r*u + 21*i*n + 2*n**2*r + 12558*n**2*u - 508*n*u - 6*r*u - 2*u wrt n.\nAnswer: 30*i + 4*r + 25116*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 310116035?\nAnswer: 5, 62023207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -831544768 take away -2?\nAnswer: -831544766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cckwkkwwkcccwkkk. What is prob of picking 1 c and 2 k?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -99816367 - -9.\nAnswer: -99816358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 10*o**3 - o**2 - 4*o - 5. Calculate n(-2).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 29*g - 55. Let a be 5 - (-4 - -1)*1*-1. Let k be c(a). Solve 3*o - k - 12 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 49 + -43. Let r be ((-18)\/8)\/(s\/(-288)). What is the greatest common divisor of 27 and r?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5856 and 36466044.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 172905089 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 2:50 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/45, 2, -0.1, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 15*s**2 + 18*s - 25. Let j be l(16). Suppose -5*k + 8 + j = 0. Solve k*r - 20 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 4) in base 13?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 2*q + 2. Suppose -4*w = w. Let i be j(w). Suppose -2*z + 2*z**i - 6*z**2 + 2*z**2 = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 3*h - 12366, -5*h + 17348 = 4*d - 3264. Suppose 3*z - z = 3*x + 1638, 0 = -5*z - 5*x + h. Suppose -4*p + z = -814. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2877 + -1521. Is h a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 39*w**2 - w + 6. What is the tens digit of l(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76*o + 20 = 71*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 0 + -1)*-85. Let u = 124 - g. Suppose 15 = o + u. Round o to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 440321311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/275522 and -43\/12.\nAnswer: 1653132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 14145309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q - 6*z - 50107840 + 50107873, -z = 5*q + 66 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 3*l**3 - 244*l**2 + 322*l - 335. What is v(80)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 + 0)*140\/15. Suppose -3*o = -3*i + 3, 5*i + 5*o + 14 = 39. Suppose 0 = -i*u + 12 + 9. Calculate the highest common factor of y and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 1038\/157?\nAnswer: 1038\/157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3095536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 522.5471 rounded to the nearest ten?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -77 + 77.39. Round i to 1 decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5867 - 1566. Suppose 7*h + 52 = 3*h. Is 40\/260 - i\/h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9181 divided by -24.\nAnswer: -9181\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 71238.02ug?\nAnswer: 0.00000007123802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*s + 13*s + 88 = 14*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*4\/(-8)*(-310)\/2. Find the second derivative of -26*n**4 - 14*n + k - 155 wrt n.\nAnswer: -312*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**40\/(n*n*n\/((n*n**(-36)*n)\/n)*n)*(n**(2\/125))**(-30) assuming n is positive.\nAnswer: n**(13\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*a - 3 = -1, -2 = l - 3*a. Let j = l - -5. Is j a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-44) - (-36)\/(-99)*815\/(-20)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 3*r = 3 - 6, 11 = 3*k - 4*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x + 8. Suppose -5*z = -4*z - 2. Let a(m) = -m**2 - 2*m + 4. Let s be a(z). What is the remainder when g(s) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 168038515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*w**2 + w**4 + 532*w + 27*w**3 - 1060*w + 528*w + w**4 as n*w**3 + u*w + s*w**2 + y*w**4 + d and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8967 + -8967.3. Let q be 4\/(-35)*35\/(-14). Put -59, q, 1, i in ascending order.\nAnswer: -59, i, q, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 2*c**2 - 2*c - 1. Let k be j(3). Suppose -p + 10 + 0 = 0. Let d(v) = 0*v**k + 7*v - v**2 + 0*v + p + 0. What is d(8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of -47*d**6\/12 - 145*d**4\/12 + 327*d**2. Find the second derivative of k(y) wrt y.\nAnswer: -2820*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -151*(0 + (2 - 1)). Let n = -71 - d. Suppose -5*y + 44 = -0*y + 4*p, 5*y - 5*p = n. Solve 3*o + 1 = f, 5*f = 4*o + f + y for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -3. Let g(v) = v - 9. Let b be g(0). Let x be i\/((-6)\/b*-3). Solve -1 = -2*s + x for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 48059*b - 113*b**2 - 48059*b)*(3*b - 3*b + b) to m*b**3 + c*b + h*b**2 + f and give c.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 40 = 4*l. Let z = -19 + 36. Calculate the remainder when z is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -15*k**3 + 138*k + 66. Let w(u) = 2*u**3 - 17*u - 8. What is -4*r(l) - 33*w(l)?\nAnswer: -6*l**3 + 9*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 38*p**2 + 2*p - 1. What is the remainder when k(1) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 8:13 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 0*g = -22*g + 12, -366*g = -368*g + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10062737441 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnknknknnkk. What is prob of picking 3 n?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 12*n)*(0 + 3 - 2) + 1 + 3*n + 3 - 2.\nAnswer: 15*n + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 867 and 153.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10903 - -7511. What are the prime factors of x?\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v**2 + 8*v - 8. Let s be a(-5). What is the second derivative of -50 + 19*k + 50 + 39*k**s wrt k?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -79.495 to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 19 = 3*y - 47, 3*t - 32 = 2*y. Suppose 2*m + 4*m - t = 0. Let x(g) = -15*g**2 + 9*g**m + g**2. Let d(u) = 3*u. What is d(x(c))?\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -8 + (8 - (16 + -34)) + 3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 12434 (base 6) in base 15?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) -4796553 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 57*w + 263 - 263 + (2 - 1 - 3)*(2*w + 5 - 5) + 2 - 2 + 2*w in the form x + s*w and give s.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2502 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18857*y**2 + 20*y + 2348 wrt y.\nAnswer: 37714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2370 = 2*g, 3*g + 3505 = 6*g - 4*u. Let w = g + -551. Is w a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(-4)\/((-12)\/(-165)). Suppose -s - 3*s = -z. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 - 4 + 8)*(-g - 3*g + 3*g)*(-1 + 2 + 0)*(1 - 1 - 4)*(7 + 13 - 6) as n*g + k and give n.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = t + 3*m, -4*m + 2 = -t. Suppose -g + 33 = -a, 4*a - t*a = -g + 34. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28678 * -0.7\nAnswer: -20074.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37435?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -83 * -0.4\nAnswer: 33.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23230 = 4*r + 6*i, -5*r + 4*i = 7*i - 29015. What is the lowest common multiple of 120 and r?\nAnswer: 17400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 9*v - 7. Let a = 211 + -180. Suppose 4*y + 5 = -a. Give t(y).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -165555 divided by -17\nAnswer: 165555\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 - -457657?\nAnswer: 457656.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 636772.061 to the nearest ten thousand.\nAnswer: 640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g**2 + g**2 + 3*g**2 - 12*g**2. Let q(f) = -26*f + 4. Give z(q(n)).\nAnswer: -1352*n**2 + 416*n - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66049 and 570797?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-162)\/135*(-30)\/1. What is the highest common divisor of 36 and t?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 - 0.0866.\nAnswer: 0.3134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -209\/8, -0.021, 2\/13?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -248 smaller than -277?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -9*f. Let g(j) = 2*j - 2. Let w be g(2). Let s(k) = 3*k**w - 16*k**2 + 10*k**2. Determine s(q(t)).\nAnswer: -243*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 - d + 4. Let p be (-1 - (2 + 3)) + 2. Let v be a(p). Let g be 0 - (-18)\/v - -3. Sort g, -0.4, 5 in increasing order.\nAnswer: -0.4, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179212146679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + a + 1 - 9, 3*y = 4*a - 14. Let k(g) = g**2 - g. Let o(s) = 5*s**2 - s + 2. Let v(f) = 4*k(f) - o(f). What is v(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 14) + (1 - 0) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 3*y + 1 - 3*y**2 + 1 + 2*y**3 - 2*y**2. Determine j(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d - 2. Let m be k(-11). Let l = 18 + m. Let r(s) = s - 1. Is 2 a factor of r(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 + 40 = l + a, l + 6 = a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9714.121ml to litres.\nAnswer: 9.714121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 95221589 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 6*f**2 + 2*f + 3. What is the remainder when (-21)\/6*(-1696)\/742 - -20 is divided by m(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5525 and 3852810.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -3*t - 488, 2*t + 3*l = -0*t - 300. Let u be t\/(-4) - -2*(-2)\/4. Is u less than or equal to 37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-193*h + 3 + 375*h - 183*h)*(-5 - 5 + 2).\nAnswer: 8*h - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 4. Suppose 0 = i - m - 20. Suppose 159 + 156 = 5*p. Calculate the greatest common factor of i and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -33 + 54. Let d be n*(2 + 12\/(-9)). Suppose -3*z + d = 5. What is the remainder when 5 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*r**2 + 2 + 14*r**2 - 2 as z + y*r**2 + v*r and give y.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) 2 (c) -0.5 (d) -9\/40\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*v + 5*v + 786. Let r = v + -130. Solve -3*h - 9 + 0 = m, m = h - r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -16592, -16596, -16602, -16610, -16620?\n\"Answer: -d**2 - d - 16590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 + -14 - (-49 + 51)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 AM and 5:27 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5 = -127. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 91 by -1.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeeeeeeeeeeeeuee. What is prob of sequence eue?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 11:24 AM?\nAnswer: 11:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(70)*4*4)\/(4*(-2*sqrt(1440) - sqrt(10))).\nAnswer: -8*sqrt(7)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 6. Suppose 0 = -4*r + 7 + 21. Let l = 11 - r. Solve w - l + 0 = 3*u, f*w + 2*u = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - 6*c**2 + 7*c - 10. Let b be g(5). Sort -5, -1, b.\nAnswer: -5, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4320 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 219 - 221. Let h(i) = -3*i + 1. Give h(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (19*(-310)\/2356)\/((-20)\/(-104))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 148427702 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 172883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(76)*1)*-5*-5)**2.\nAnswer: 5000*sqrt(19) + 50000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 390442.4mg?\nAnswer: 390442400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 3*p - 118 = 0, 4*z = 3*z - p + 29. Calculate the remainder when z is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5287041217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1598857750?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 4*g + 2, -3*b + 4*g = -26. Does 3 divide (-4 + -1)\/((-5)\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60200)\/(-980)*(-91)\/(-65).\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.896592 months in years?\nAnswer: 0.074716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -47*w - 165. Let c be i(-9). Solve -c*m + 262*m = 28 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 1 = f + 2, 4*a = 8. Suppose 0 = -7*k + 11*k + f*u - 38, 2 = -u. Calculate the remainder when 27 is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77223 + -77220. Determine p, given that -30\/11*p**y + 24\/11*p - 16\/11 - 4\/11*p**4 + 20\/11*p**2 + 6\/11*p**5 = 0.\nAnswer: -2, -1, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 5*f**3 + 105 - 105 to the form b*f**3 + s + v*f + r*f**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from louooouoouououooo. Give prob of sequence ul.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -2. Let f be (y\/3)\/((-4)\/(-3)). Let w = -4 - -2. What is the biggest value in -3, w, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m - m + 2*m + m.\nAnswer: -m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (27\/(297\/22))\/(-42)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/5 - (-711)\/15*2. Suppose -42 = s*y - 101*y. What is the remainder when 14 is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014962 to four dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 times 0.04828?\nAnswer: 1.49668","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-75))\/((-4)\/90)*(-4)\/(-36)*-122.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the first derivative of -9\/4*q**4 + 3*q**2 + 18*q - 3\/10*q**5 - 6 - 9\/2*q**3. What is m in w(m) = 0?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 94 (c) -0.004 (d) -2\/3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ldli when four letters picked without replacement from iidgldzoodlz.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2048 + -1209. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*u - 37, u + 2*k + 3*k = -16. Suppose 0 = -u*r + 13*r - 32. Suppose 449 = r*j + 121. What are the prime factors of j?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -v + 5*l, -v + 3*l + 113 = 119 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15301444 and 203.\nAnswer: 107110108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 - (-3 + (-2766)\/(-144)). Let v = q - -16. What is the common denominator of 885\/36 + 3\/(-9) and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 4*g + 1. Let j = -14 - -8. Let y be a(j). Suppose 0 = -4*d - 3*f - 0 + 2, -3*d = -5*f - 16. Solve 0 = d*l - 5*l + 15, h - 3*l = -y for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 - -28. Suppose d + 5*m - 27 = 0, 0 = s*d + d + 3*m - 21. Let v be 0\/1*5\/5. Solve -d*z + 2 = -v*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**3\/3 - 1820*q**2\/3.\nAnswer: 4*q**2*(q - 455)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 + 41 = -4*c. Let a = -54 - c. Let u = 3 + 8. Solve -3*i + a*l + 0*l = 2, -i + 3*l = -u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -87 or -89?\nAnswer: -89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -742, -7.\nAnswer: -742, -7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -69ddcc (base 16) to base 12.\nAnswer: -23a70b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 - (-285)\/(-25))*(7 + -12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 217938 - 97?\nAnswer: 217851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7, 12, 57, 140, 273, 468?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002599458639 to six dps.\nAnswer: -0.002599","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4372, 2, 0 in decreasing order.\nAnswer: 2, 0, -3, -4372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 16*g**3 - 9*g**2 + 38*g + 4. Let y(u) = -4*u**3 + 2*u**2 - 10*u - 1. What is -4*s(z) - 18*y(z)?\nAnswer: 8*z**3 + 28*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.231 (b) -12 (c) 3 (d) 58.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2974016506 rounded to four dps?\nAnswer: 0.2974","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/2 - 81\/(-6). Let a be (-6)\/(-45) - 6\/45. Suppose -5*v + u + 2 + 13 = a, 5*v + 3*u - p = 0. Solve v*w = -w - 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15 + 2 + -3 + (18 - (18 + -2))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i = 31*i - 2600. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -1246*t**2. Let m(a) = 278*a. Calculate m(j(o)).\nAnswer: -346388*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -107, -11, 113, 277, 493?\n\"Answer: 2*a**3 + 2*a**2 + 76*a - 187","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-4))**36\/(f*((f*f**(2\/35))\/f*f*f)\/f)**(1\/65) assuming f is positive.\nAnswer: f**(-327672\/2275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-11))**(-43))**4 assuming s is positive.\nAnswer: s**(-2064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 - 17*h - 4. Let k(f) = -4*f**3 - 33*f - 7. What is 4*k(w) - 7*l(w)?\nAnswer: -2*w**3 - 13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -23264, -23918, -25030, -26618, -28700, -31294?\n\"Answer: -3*s**3 - 211*s**2 - 23050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 - 12*z - 33. Let p be u(16). Solve 5*r - 2*o = p, 0 = -r - o - 1 + 3 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011010 + 10000001?\nAnswer: 110011011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:08 AM?\nAnswer: 11:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4131) + sqrt(4131)*-2 + sqrt(51))\/(sqrt(108) - -1*sqrt(108)).\nAnswer: -2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*p + 358 + 875 = -222. Solve 7*x - p*x = -48 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4512 - 275. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 g, and 1 c when three letters picked without replacement from oslcgcscclccgsg.\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/2880 and -67\/80355.\nAnswer: 15428160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13664295 and 23328?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2. Let c(p) = 3*p + 0*p + 0*p - 14*p. Calculate l(c(m)).\nAnswer: 121*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**2 + 2*u**2 + 3*u**2 + (2*u - 3*u + 0*u)*((-179 + 27 + 11)*(1 - 1 - 1)*(2*u + 3 - 3) + (-u + 2 - 2)*(-1 + 2 + 1) - u + 0 + 0).\nAnswer: -277*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-2)*(17 - -8 - 27)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1337388352?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5663 + -5300. Calculate the highest common divisor of 2299 and y.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000132 (base 4) in base 11?\nAnswer: 3111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-256)\/(-24) - ((-21)\/9 - -2). Let c(n) = 21*n**3 - 15*n**2 - 11*n - 13. Let l(a) = 11*a**3 - 8*a**2 - 6*a - 7. What is u*l(d) - 6*c(d)?\nAnswer: -5*d**3 + 2*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 minutes after 2:00 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 - 21*x + 35. Let i be v(18). Is i\/(-2)*(-420)\/(-14) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -745, -1489, -2233?\nAnswer: -2977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 305 and 300?\nAnswer: 18300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/2132 and -29\/23206?\nAnswer: 603356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6974*l**3 - 2025*l**2 + 7108*l**3 - 15194*l**3 wrt l?\nAnswer: -6672","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 10:08 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -0.9, 1.1, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 35147925 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 206241 take away 0?\nAnswer: 206241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-16))\/(1\/6) + -1. Suppose t*p = -2*o + 106, -21 = p + 3*o - 70. What is the least common multiple of p and 20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18452450*p**2 - 10944463*p wrt p.\nAnswer: -36904900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pppplppppppplppppppp. What is prob of picking 1 p and 1 l?\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2148414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - z - 3 = 0, -4*j = -z - 4 - 3. Let f(c) be the first derivative of 7\/3*c**3 + 0*c + 2 + 0*c**j. What is f(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 842 = -5*w, 3*y - 749 - 548 = -w. Let b = 691 - y. Does 52 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 8812?\nAnswer: 26436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of -w**4\/6 - 13*w**3\/3 + 11*w**2 - 5*w + 3. What is the units digit of n(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 - 5. What is the closest to -1 in q, -0.3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-1)*(1560\/144)\/(-13).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l**3 + 19*l**2 + 12*l + 27. Let c be j(-9). Let q = 149 - 93. Let u = q + -53. Solve v - u*v - 10 = c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96 - 3743213149.007.\nAnswer: -3743213053.007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(-17)\/(1071\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -2503 at most as big as -853734\/341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o, -8 = n + n + 3*o. List the prime factors of -2 + (-44)\/n + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -0.003, 0.4, 176, 1\/4, 1 in increasing order.\nAnswer: -0.003, 2\/13, 1\/4, 0.4, 1, 176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4870583*a - 6105636*a + 3240954*a.\nAnswer: -7735265*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 520 and 80.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107 = 2*k - j, -j = -2*k + 4*j - 119. Let q = k + 37. Let u be ((-3)\/(-30))\/((-6)\/q). Which is bigger: u or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 4)\/((-343)\/98)*(-2)\/20.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**3 - 9*o**2 + 5*o + 1. Let r be c(3). What are the prime factors of 584\/(0 - -1) - r\/(-8)?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -4*v**2 - 4068*v - 502864. What is y(-873)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -2*a**2 - 19*a - 4. Let f be q(-9). Suppose -1371 = f*l - 8*l. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -34 and -6.\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.856801 rounded to two decimal places?\nAnswer: -1.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4900.8 and 8.6.\nAnswer: 42146.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3035 + -3049. Which is bigger: 0.26 or w?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 59\/3, 1\/4, -22812, 5, 4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 774011863 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 15\/25 - (-33272)\/5. Let f = 1660 - 1495. Factor -a + 3*p**3 - f*p**2 + 989*p + 2*p**3 + 1531*p - 705*p.\nAnswer: 5*(p - 11)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 262 (b) 0.4 (c) 224\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8282, -16547, -24764, -32909, -40958, -48887, -56672, -64289?\nAnswer: -71714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of -w**3 - 7\/30*w**5 + 0 + 1\/4*w**4 + 0*w + 6*w**2. Let u(b) = -5*b**2 + 2*b - 2. Calculate -6*f(i) + 17*u(i).\nAnswer: -i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 71 - 69. Which is the closest to j? (a) -0.5 (b) -1\/6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*r + 76 = 3*i - 111*r, 0 = 3*r - 15. Solve 86 = i*v - 67 for v.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 3, 3366.8, 62?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + (sqrt(612) - (sqrt(612) + sqrt(612) + 0 + sqrt(612)*-2)) - (sqrt(68) + 2 - (sqrt(17) - sqrt(17)*-2)*-3)).\nAnswer: -15*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45956714.\nAnswer: 2, 23, 107, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-56))\/((31\/(-93))\/(5\/(-15))*-1)\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43\/112 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8007971 or -4?\nAnswer: -8007971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1304292 and 66.\nAnswer: 1304292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 3*a = 2, -38 = -10*f + 18*f - 4*f - 10*a + 12*a for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(75)*-1)**2*-4 - (0 + -3*sqrt(75) + sqrt(75))).\nAnswer: -600 + 20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 92941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*j*y**4 + 2*j*y**3 - 43*j*y + j + y**3 wrt y?\nAnswer: 48*j*y**2 + 12*j*y + 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13944743 or 13944741?\nAnswer: 13944741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 2*p - 4*t - 7, 0 = 4*p + 3*t + 7. Let z be (0 - p)*(14 - 13). Suppose 4*b - z = -5*g, 3*g - g - 14 = -5*b. Solve 4*r - 24 = -b for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -139, -2, -48144, -1 in increasing order.\nAnswer: -48144, -139, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*((s*s*s*s\/s**(-4\/9))\/s)\/s*s**(-1)*(s**0)**(-13))**9 assuming s is positive.\nAnswer: s**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27920.\nAnswer: 2, 5, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 2*f - 4*y, -f - 3*y + 3 = 4*f. Let l(a) be the first derivative of a**f + 3*a**3 - 6 - 2 - 3*a**4. Find the third derivative of l(d) wrt d.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16\/11? (a) 3 (b) -13 (c) 2\/5 (d) 497\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1342 by 6.\nAnswer: -671\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -12, 3, -2\/2115?\nAnswer: -2\/2115","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 1. Suppose -4*d + 16 = -2*d + 4*i, d = 5*i + 29. Let v = 17 - d. Put v, 1, n in decreasing order.\nAnswer: v, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7055000*0.3\nAnswer: 2116500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 663 divided by -18.\nAnswer: -221\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57376620 and 11137.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5*p + 87 = 94, 0 = -5*k - p - 7 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2388 and 30393469?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 2331560.\nAnswer: 2331560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2074, 2437, 3036, 3865, 4918, 6189?\nAnswer: 7672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-12)*(15000\/(-825))\/(-50)?\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(72) + 1*sqrt(72))*6)\/(sqrt(726)*-3 + (-2*sqrt(96) - sqrt(6))).\nAnswer: -4*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8051 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2640525 - 1?\nAnswer: 2640524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 d when four letters picked without replacement from dnnddddddddn.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 145 - 169 = 0. Let w(z) = 3*z**2 + 5*z + 18. Is w(y) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -113.5 + 113. Let k = 29 - 30. Which is the closest to k? (a) 1\/3 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2, -k - 5*i + 1 = 18. Let d = k - -10. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5919257592?\nAnswer: 2, 3, 947, 86813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n**2 + 77*n**2 - 18*n**2.\nAnswer: 92*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -1668292*g + 11678051. Determine m(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -40898*h - 1840473. What is i(-45)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*j - t = -50*j - 18, -2*t = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millisecond in microseconds?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 969?\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2160?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*1\/(-11) + (-4395)\/(-660)*24. Calculate the highest common factor of 2480 and k.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence af when two letters picked without replacement from {a: 5, f: 2}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.51*0.69.\nAnswer: 1.0419","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -100001 (base 2) to base 6\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 214 + 234 = 0, 7*v - 19 = 4*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0*34\/((-8704)\/32)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/1826699 and -87\/61922.\nAnswer: 3653398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 62 = 62 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fa when two letters picked without replacement from fmffafimafkfa.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*p + 81*p + 232 = 0. Which is smaller: -276 or p?\nAnswer: -276","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**3*j*k**3 - g**3 - g**2*j*k**2 - 2*g**2*j*k - 7*g*j*k**3 - 4*g*j*k**2 - 3*j*k**3 wrt k?\nAnswer: 12*g**3*j - 42*g*j - 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46062458.\nAnswer: 2, 13, 1771633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*u - 38 = -28*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*z**4 + 3*z**3 - 187*z**2 + 33979 wrt z?\nAnswer: 28*z**3 + 9*z**2 - 374*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7955 + 47748 = 1051*r for r.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 1\/4 (c) -320 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126794, 253600, 380406, 507212?\nAnswer: 634018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 945?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of 3*r + 1\/20*r**5 - 5\/6*r**3 + 0 - 1\/4*r**4 + 3*r**2. Let x be 30\/8 - 4\/(-16). Calculate p(x).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (-11144)\/182*(-9)\/36?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396)*1 - sqrt(396))*4)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94 - 15. Let c = -75 + x. Solve 0 = -r - 1 + c for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 - 50ba022?\nAnswer: -50ba026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkgqkrqqqqqqqqrq. What is prob of picking 2 k, 1 q, and 1 r?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*a = -18. List the prime factors of a\/(-33) - (-548)\/11.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2436313565?\nAnswer: 5, 7, 43, 33037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7769*x = -7410*x - 3231 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (5 + -11 + 4 - -3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 159 divide 151845?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**(-2)\/h)\/h*h*h\/(h**(-2\/9)*h))\/(h**(-4\/3)\/h**(-3\/4)))\/((h**(1\/8)*h\/(h\/((h**(-2\/5)\/h)\/h))*h)\/(h\/h**1)**(2\/17)) assuming h is positive.\nAnswer: h**(-331\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 223 + -224. Let i be o + -9 - -6 - 412996. Round i to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/228472 and -1\/68313128.\nAnswer: 68313128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*g - 221, -3*g + 2 = 5. Let r = -72 + q. Suppose -3*h + 25 + 242 = r. What are the prime factors of h?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, d: 2}. Give prob of sequence gd.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 66, 370, 680, 996?\n\"Answer: 3*z**2 + 295*z - 232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -4660, 4, -2\/439, -0.2?\nAnswer: -2\/439","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, 217515 in ascending order.\nAnswer: -5, 7, 217515","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.248 + -0.052. What is the smallest value in -9, 0.4, c?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 3)*(4*h - 6*h + h) + 3*h + 2*h - 6*h)*(0*h**2 - h**2 - h**2) - h**3 - h**3 + h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 3:21 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + ((-2*sqrt(117) + sqrt(117) - sqrt(117))*1 + sqrt(117))\/sqrt(9))**2.\nAnswer: -4*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7128788?\nAnswer: 2, 1782197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3036791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 5*z = -10, u - 3*z = 2*u + 11 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 163*c**2. Let n be g(2). Suppose 2*u + n = -2*u. Round u to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 66155\/652 + -145570435\/3912. Let v = 37104 + c. Find the common denominator of -62\/165 and v.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 1. Let f(y) = y + 1. Let b = 15 - 16. What is b*f(i) + 3*j(i)?\nAnswer: 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -88 + 83. What is the units digit of s\/(-15) + (-575)\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2431\/2698 + 2\/(-2). Let h = -85873\/5396 + u. Let n = h + 100\/19. What is the common denominator of 115\/6 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 627*p**2 - 2608.\nAnswer: 1254*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -1195*y**2. Let i(f) = -2*f. Determine i(c(m)).\nAnswer: 2390*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 19*r + 242. Let f(x) = -58*x - 206. Let k be f(r). Calculate the highest common divisor of k and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of -27*t**2\/2 - 100. Let l(q) = q**2. What is l(a(s))?\nAnswer: 729*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4051.946 + -4047. Let c = d + -5. Let l = c + -0.028. What is l rounded to 2 decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 14. Let i = -12 + 21. Suppose d*q - 5 = i. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19)\/(-133) + (-1066)\/2366\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 times 417734\nAnswer: 584827.6","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*a + a + 4*a + 2*a + 2 - 2 + (-2 - a + 2)*(-3 + 0 + 2) + 4*a - 1 + 1 + 1 - 2*a - 1 to the form y*a + w and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 a factor of 1027436773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -279, -267, -255?\nAnswer: -243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7640.41kg in tonnes?\nAnswer: 7.64041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 272334196 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31379 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.98 + -2.02. What is the fourth smallest value in -1, -6, -4, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 56*q + 4769. Let v(n) = -n. Give k(v(d)).\nAnswer: -56*d + 4769","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*x**2 + 5*x**2 - 40*x**2.\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 0*s = 45. What is the highest common divisor of 30 and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 - 289*a - 288.\nAnswer: -(a + 1)*(a + 288)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -20\/7 (b) -725 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 h when four letters picked without replacement from jjhhjhj.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*u**2 + 0 - 19\/2*u**3 - u**4 + 1\/2*u**5 - 6*u.\nAnswer: u*(u - 6)*(u + 1)**2*(u + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 143 - 143.0302. Let z = 4 + -4.024. Let d = z - h. Round d to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 2 y, and 1 i when four letters picked without replacement from {f: 1, i: 3, y: 5, q: 6, p: 2}?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s = 19*s + 12. Sort 2, 4, s in increasing order.\nAnswer: s, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-3)*r*r**8\/r*r**8*r**(-11))**48 assuming r is positive.\nAnswer: r**192","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1507*p*u**5 - 27*p*u**4*w - 2*p*u*w + 3432*p + u*w wrt u?\nAnswer: 30140*p*u**3 - 324*p*u**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 72 - 71. Is a less than or equal to 15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (72\/252)\/(((-2)\/28)\/((-9)\/(-30)))\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a hour in seconds?\nAnswer: 6300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2121, 4132, 6129, 8106, 10057, 11976, 13857, 15694?\nAnswer: 17481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + 2*o - 2. Let f be u(-3). Let y = 86 + -81.1. Let k = 0.1 + y. Which is the third smallest value? (a) k (b) -4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 11*g = -50. Solve g*i = 2*b - 13, -6 = i + b + 2*b for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4146, -5552, -6962, -8376?\nAnswer: -9794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-86)\/(10234\/(-3213)))\/(-99).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2354 divide 6005146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 111265 and 88?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (820\/(-5985))\/((-18)\/(-27)) and 73\/10?\nAnswer: 3990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-310)\/(-248)*(-1)\/35)\/(30\/80)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 221012105 (base 6) to base 9\nAnswer: 7416375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:50 AM and 10:12 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 i when four letters picked without replacement from yixxzia?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 280 = -4*c, -x = -3*c - 26 + 28 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2\/5 (b) 0.04 (c) 5 (d) -3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 300\/7, 0.0012, -4, 0.5, -0.3 in descending order.\nAnswer: 300\/7, 0.5, 0.0012, -0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/10)\/(18\/(-60)). Suppose -79 - 53 = -b*f. Calculate the highest common factor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 1 + -5 - (-7 + 7).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -100 - -103. Suppose -2*z = -5*a - 15, -t*z + 6 = -0*z - 2*a. Solve 1 = i - z for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2365641.\nAnswer: 3, 31, 61, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 100*b**2 + 697*b - 17. Give v(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22.1 + -17. What is n rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1884.9 rounded to the nearest one hundred?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15124 - -341?\nAnswer: -14453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/315 and -35\/81.\nAnswer: 2835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*d + 49 + 451, 4*d = 16. Let v = 349 - u. Is v a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 624464904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 16 = 24*w. Put w, -3, -6\/5 in decreasing order.\nAnswer: w, -6\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 + 10*y**2 + 7*y + 14. Is s(10) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nyp when three letters picked without replacement from yyypnppypyyyyyyn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.282 + 52.618. Let z = 53 - y. Let x = -1 + 0.9. Which is the closest to x? (a) -1\/6 (b) z (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 520113?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -17, -62, 13 in descending order.\nAnswer: 13, -3, -17, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/8*(1 + -7). Let n = 536 + -535.5. Sort 3, i, n.\nAnswer: i, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-6) + 314\/3. Suppose 0 = -4*r + 3*h - o, 140 = -7*r + 2*r + 2*h. Calculate the remainder when 9 is divided by r\/(-9)*(-9)\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**4 - 47292*r**3 - 186377772*r**2 = 0. What is r?\nAnswer: -7882, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i - 136 + 96. Let l(w) = -2*w**3 + 2*w**2 + w + 2. Let x be l(0). Let f = 93 + -1397\/15. Which is the second biggest value? (a) x (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 5*b**2 + 93*b + 3. Let h be t(-20). Calculate the highest common factor of h and 247.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114 divided by 26870.\nAnswer: -57\/13435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*t + 5 + 23. Let f(x) = x**3 + 6*x**2 + 4*x + 5. Is f(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203130*q + 1101*q**2 + 401868 + 3\/2*q**3 = 0.\nAnswer: -366, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -836426940 - -0.3.\nAnswer: -836426939.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lgxkxgpklpppxpp. What is prob of sequence kl?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**2 - n - 2. Suppose -u + 2*a = -2*a - 1, 4*a = -5*u - 19. Calculate d(u).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 15 - 6. Let q = -2 - -6. Let a(v) = -v**3 + 6*v**2 + 4. Let w be a(6). Solve q*s - d = -z, -w*z = 5*s - 2*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -44\/405 or -1?\nAnswer: -44\/405","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 53663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/5)*n\/n**(-2))\/(n**(2\/11)*n\/(n*(n\/n**(-1\/5))\/n)))**18 assuming n is positive.\nAnswer: n**(3186\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b49005 - -4?\nAnswer: 2b49009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -966? (a) -18 (b) -5 (c) 1\/6 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 5*w - 4138 = 0, 4*f - 2072 = -w + 5*w. Calculate the highest common factor of f and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -154*f + 1104. Calculate the lowest common multiple of 144 and u(6).\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -10*j + 9 + 4*j**2 - 3*j**2 + 5*j. Is 15 a factor of f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/(x**(-11)*x)*x\/x**(-1\/15)*x*x*(x**(-2\/3)\/x)\/(x\/(x**1*x)) assuming x is positive.\nAnswer: x**(72\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in ten sevenths of a week?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 88 = 3*y - 59, 5*s - 176 = 4*y. Let k be ((-48)\/s)\/((-1)\/(-4))*-33. Calculate the highest common factor of 22 and k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*m + 458*m**2 - 130*m**2 - 136*m**2 + 1 - 145*m**2 to the form p + r*m**2 + z*m and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168195743?\nAnswer: 223, 754241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 409460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/112265253 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0*n - 4, n = -5*t - 667. What is the remainder when ((-238)\/4*228\/t)\/2 is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3720 greater than or equal to 3723?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 473764, 1895030, 4263796, 7580062?\n\"Answer: 473750*k**2 + 16*k - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 288 = 5*f - 3*z, 2*f - 2*z - 27 = 89. Solve -f*k - 3*k - 480 = 0 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1480049100 to the nearest one million.\nAnswer: 1480000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((4 - -5) + -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.05 (b) 19 (c) 2\/3 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-12)*21\/(-14). Let h(v) be the second derivative of x*v**2 + 1\/6*v**3 + v + 0. What is the derivative of h(r) wrt r?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6036 = 3*w + 1242. Let t = w + -8052\/5. Find the common denominator of 48\/11 and t.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aooy when four letters picked without replacement from {a: 5, o: 7, y: 1}.\nAnswer: 7\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 5*s - 16 = -4*j, 0 = -j + s + 4. Suppose -6 = -4*r - 2*f, -r - j*f - 8 - 1 = 0. Suppose -b - 84 = -r*b. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344823399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/19 and -11\/582.\nAnswer: 11058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18.702 - 18.902. Which is the nearest to 1? (a) -3\/4 (b) q (c) -1 (d) -135\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1847685751 to the nearest integer?\nAnswer: 1227","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 19*f**2 - 38*f - 321. Let i be l(-20). Solve 25*h - 36 = i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2859.\nAnswer: 3, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 122709663095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.2 - 1.8. Let l be (-2 - (-3)\/2)*2. Which is the smallest value? (a) d (b) 0.1 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -32988112*g**4 + 771*g**2 - 1422?\nAnswer: -791714688*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1.558*-0.4\nAnswer: 0.6232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31400563?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5011251 divided by -5011251.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1609874149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 17*q**2 - 2*q + 3. Suppose 4*x = -3*v + 2, -5*x = -2*x + 4*v + 2. Let t be k(x). Let j = -47 + t. What is the units digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((-24)\/(-30)) + 7. Let p(u) = 27*u**2 - c*u**2 - 8*u**2 - 6*u**2. Let x(y) = 4*y**2 - 19. Give p(x(f)).\nAnswer: 16*f**4 - 152*f**2 + 361","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -152.9408111019 + -0.0591896481. Let u = 153 + l. What is u rounded to 7 decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 40795 and 359582147.\nAnswer: 359622942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -52939300 rounded to the nearest one hundred thousand?\nAnswer: -52900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 64*d**2 - 2 - 1 - 64*d + 62*d**2.\nAnswer: -2*d**2 - 64*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/((k\/k**(4\/3))\/k))\/k)\/k)\/(k*k**0))\/(k**4*k*k**(-3)) assuming k is positive.\nAnswer: k**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**9*j)\/(j*j**(2\/21)))\/(j**5*j**(1\/4)))**(2\/17) assuming j is positive.\nAnswer: j**(307\/714)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19030431?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.79 - 19.49. Is -1 at least a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -2*x**2 + 6*x**3 + 0*x**3 - 5*x**3 + 3 + 0*x**3. Let s be v(3). Let n be (11 - 1)*s\/24. Solve -d = -n + 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.23 - -0.43. What is the nearest to -1 in t, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -18*(-2)\/216*-2. Put -1, a, 1\/2, 2\/421 in decreasing order.\nAnswer: 1\/2, 2\/421, a, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3771552790 rounded to the nearest 100000?\nAnswer: -3771600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.2 - -0.9. Let q = -1.07 + u. Round q to two dps.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233 is divided by 48.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of -x**3\/6 - 11*x. Let q(d) = -21*d. Give k(q(h)).\nAnswer: 21*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116142 is divided by 56.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 55466 to the power of 1\/2, to the nearest integer?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 892?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.48 - 0.08. Let v = f - 4. Which is the closest to 1\/2? (a) v (b) -4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from {l: 11, a: 1}?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) be the second derivative of 2\/3*d**2 - 2*d - 82 + 0*d**4 + 1\/3*d**3 - 1\/30*d**5. Factor c(k).\nAnswer: -2*(k - 2)*(k + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 i, and 1 q when four letters picked without replacement from ruuitsqssitsstsss?\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, b: 4, e: 1}. What is prob of picking 4 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 0 + -25 + 61.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 8) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, f: 4, o: 2, i: 2}. Give prob of sequence koo.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/19)*m*((m\/((m\/m**(-1))\/m))\/m)\/m)**(6\/5) assuming m is positive.\nAnswer: m**(-102\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + 110334?\nAnswer: 110332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 3 (c) -8 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j = -4*j - 120. Calculate the smallest common multiple of 590 and j.\nAnswer: 2360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by 869013?\nAnswer: 1\/96557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -3\/2, 135.\nAnswer: -3\/2, 0.2, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 6, -177, -53, -0.1 in increasing order.\nAnswer: -177, -53, -5, -4, -0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -4658391720 and -229.\nAnswer: -4658391949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 194.75931 rounded to the nearest 10?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5361*f*i**3 + 3507*f*i**2*m - 1949*f*i*m - 50*f*i + 4*f wrt i.\nAnswer: 32166*f*i + 7014*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41158 to the power of 1\/2, to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -2\/13, -1\/5, 0 in decreasing order.\nAnswer: 2, 1, 0, -2\/13, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-3)*(-732)\/(-1342).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 81533*b**4 + 2*b**3 - 798538?\nAnswer: 326132*b**3 + 6*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (2*sqrt(275)*-5 - ((0 + sqrt(275))*4)**2))*3*1.\nAnswer: -13209 - 150*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8478 - -1475149\/174. Let i = w - 1\/29. Which is the second biggest value? (a) 3 (b) i (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-50) - -41*(-119775)\/76875.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(700)*-5 - sqrt(7)).\nAnswer: -sqrt(3)\/51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 4 = -4*k - 8, -4*h = -20. Suppose -4*t + 18 = k*t. Solve t*r - 6 = 9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -18*r**3\/13 + 662*r**2\/13 - 500*r\/13 - 144\/13 = 0.\nAnswer: -2\/9, 1, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 1 + (-10 - 1) - (-10 + 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:20 AM and 10:56 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/((-250)\/(-11900)*-17).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a + 2*a - 7*a + (5 - 1 - 2)*(2*a + a - a) + 3 - 3 + a + 2*a + 0*a - a + 22*a + 0*a + 3*a + 3*a - 5*a + a + 4*a + 3*a - 3*a.\nAnswer: 35*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 + 11. What is the remainder when w\/2*-6 + 21 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2442 and 66.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a + 2. Let s be n(0). Let y be -3 + s*(-2)\/(-4). Let x be -10*(25\/10)\/(-5). Which is bigger: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12, 23, 36, 51?\n\"Answer: g**2 + 8*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 8*i - 13. Let v be t(1). Let x(n) = 7*n**2 - n + 7. Let r(w) = 4*w**2 + 4. What is v*r(o) + 3*x(o)?\nAnswer: o**2 - 3*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.072 from 13.\nAnswer: 12.928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 26402 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32242*y**2 - 5946*y**3 + 5948*y**3 - 33847*y**2 + 66089*y**2.\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 - 22*w**2 + w + 14. Let t(c) = -4*c + 17. Let a be t(7). Let b be l(a). Solve b*k + 8 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {x: 7, m: 1}?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3*w**(-22)*w*w**(3\/11)*w**(6\/11) assuming w is positive.\nAnswer: w**(-189\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 269783\/85 + -16069\/5. Let p = d - -40. Is p < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.43 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + (-7)\/21 - 4\/6. Suppose -4*f - 3*w + 5545 = -3364, 0 = -v*f - w + 4457. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.6 in -44, 4, -2\/17, -0.1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 13702?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 102*j**2 - 2642*j + 10681. Determine v(5).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -285997\/18 + 15882. Let o be 0 + (-18202)\/(-9098) + -2. Let y = o - -250123\/109176. Find the common denominator of y and w.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -34\/5 in 3, 0.1, 1\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -6*j - 15049. Let b be a(0). Let p = -301041\/20 - b. Find the common denominator of (-70)\/24 - 2\/6 and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 196 = 19*n - 14*n, 136 = 3*n + 4*p. What is the remainder when 6398 is divided by n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 118*l - 704 - 27*l + 39*l - 51*l. What is w(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a tonne in grams?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 5 = -5*m, -14*m + 4*b = -11*m + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12525*(-19 - -23) + -18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -34455 by 5.\nAnswer: -6891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by ((-7150)\/(-33))\/(-13)*(-42)\/5?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1503*m - 323*m + 114553 + 124653 = 0 for m.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 + 129*f + 1946. Give x(77).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 at most -153\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 12) in base 6?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 136.6 and 0.2299.\nAnswer: 136.8299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15833852.\nAnswer: 2, 71, 127, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -511971 times 5?\nAnswer: -2559855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 58 - 177)*(0*k**2 - 2*k**2 + 0*k**2)*(-1 + 0 + 3) - 3*k**2 + 6*k**2 - 5*k**2.\nAnswer: 434*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/2979343 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is z in 5*z**5\/4 + 4933*z**4\/4 + 611553*z**3\/2 + 785232*z**2 - 363096*z = 0?\nAnswer: -492, -3, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(33 + 2)*(-1)\/6*-84\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 467 + -426. What is the biggest value in -5, t, -2\/9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 5:12 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 1:51 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 z when two letters picked without replacement from {e: 1, c: 7, z: 2, h: 2}.\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-90)*(-3 + 3\/6)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/21, 0.5, -2\/5, -1\/5, -1347, -5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 4\/859199?\nAnswer: 4\/859199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -2) + (4 - (-5 + 6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 140009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 11*z**2 + 1. Give v(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7108200 a multiple of 1164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 7634, 7879, 8112, 8327, 8518, 8679, 8804?\n\"Answer: -s**3 + 252*s + 7383","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 26 + 8 = 0. Calculate the common denominator of 89\/(-4) - (y + -7) and (-58)\/9*60\/32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 91989?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -14*p - 162. Give o(-11).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 - 5*k**2 - 3*k**2 + (4 + 2*k - 4)*(-1 - 2*k + 1).\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39 - 8 - 57 + 2*j to the form w*j + r and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - -6. What is the least common multiple of f and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-2)\/(-12))\/((-18)\/(-180)*-1))\/((-5)\/(-234))\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -16. Let u(d) = 6*d**3 + 34*d**2 - 7*d + 7 - 34*d**2. Let g(f) = -f**3 + f - 1. Determine z*g(w) + 2*u(w).\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-33)*(-4)\/(-2)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 7*g**2 + 2*g + 1. Let x(k) = k + k - 3*k + 0*k + 1. Let l be x(-2). Let q = 2 - l. Determine f(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*q**3 + 57*q**3 + 120*q - 117*q**3.\nAnswer: -2*q**3 + 120*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 81381662273 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(1*(2 + 4*(((sqrt(1700) - sqrt(1700)*-3) + sqrt(1700))*-6 + sqrt(1700)))*-6 + -1))**2.\nAnswer: -1628640*sqrt(17) + 7411566321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (37*(-16)\/(-15096))\/((-80)\/15)*4.\nAnswer: -1\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 368905?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 7:24 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11.99 + 1.59. Let o = -10.8 - h. Put -4, o, 0, -0.03 in decreasing order.\nAnswer: 0, -0.03, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2035384 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 6497?\nAnswer: -4\/6497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6686981 centuries in years?\nAnswer: 66.86981","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 43866, 87286, 130270, 172818?\nAnswer: 214930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1333236?\nAnswer: 2, 3, 111103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 256 = 4*c - 2*k, -c - 3*k + 27 + 44 = 0. What are the prime factors of c?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.9 - 0.3. Let t = m + 3.4. What is the closest to 1\/4 in -1, 3, t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -521 - -521. Let k = -77 + 619\/8. What is the closest to s in k, 5, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7192 and 372?\nAnswer: 21576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 384, 351, 296, 219, 120?\n\"Answer: -11*f**2 + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 106025, 106047, 106069, 106091?\n\"Answer: 22*f + 106003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 140543 + -328543. Round l to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135081?\nAnswer: 3, 5003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five eighths of a millennium?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4 + 165*m**3 - 3312*m**2 + 28416*m - 86016.\nAnswer: -3*(m - 16)**3*(m - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 4*a + 3*u - 13, -5*u - 35 = -5*a. Let w be 32\/18 - 4\/(-18). Let d(z) = -z**2 - 6*z - z**w + 3*z**a + 6. Give d(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2271362, 4542730, 6814098, 9085466?\nAnswer: 11356834","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 0 = 9. Suppose 0 = 101*h - 547 - 5917. Sort s, h, 0 in descending order.\nAnswer: h, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3662\/2175 + 56\/87. Let d = 1568275\/13 - 120633. What is the common denominator of d and l?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 27 + -27.0000014. What is l rounded to six dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -74.96 + 81.9. Round p to 1 decimal place.\nAnswer: 6.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**2 + 6*y**2 - 2*y**2 + 3*y**3 + 4*y - 2 + 1 to the form i*y + l*y**3 + p + a*y**2 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 63833 by 77.\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m + 5 = -2*l + 2, -2*m - 26 = 4*l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26784897, -53569794, -80354691?\nAnswer: -107139588","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 2. Let d be c(-6). Let h(t) = -2*t - 20 - 8 + 24. Determine h(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-10)*f\/f**2*f*f*(f**(1\/5))**17 assuming f is positive.\nAnswer: f**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dx when two letters picked without replacement from {z: 1, h: 3, d: 2, x: 1, k: 3}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40403, -80804, -121205, -161606?\n\"Answer: -40401*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 383*i - 23*i**2 - 402*i - 34*i**2 + i**4 - 2*i**3 to n*i**4 + p*i**3 + s*i**2 + v + x*i and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 16 = t. Suppose -2*q = 5*d - 205, t*q + d - 68 - 315 = 0. Suppose 2*m - s = q, 2*m - 3*s = s + 98. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of 2*o**2 + 0 + 0*o - 1\/6*o**4 + 11\/6*o**3. Is d(-11) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 877.195 + -874. Let f = v + -0.195. Which is the nearest to -16? (a) f (b) -5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 433 and 8989513.\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 422570995 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sbil when four letters picked without replacement from {b: 1, i: 7, l: 4, s: 1}.\nAnswer: 7\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -14452435 (base 7) in base 16?\nAnswer: -14f848","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-15 - (-9 + 1 - -11 - -3))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**3 + 13*k**2 - 13*k + 15. Let q be h(-14). Solve -5*c + q + 9 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -27 * 247\nAnswer: -6669","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19974008 to the nearest integer?\nAnswer: 4469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 166337 and 2870.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -23*s**2 + 516*s + 301. Let q be a(23). Determine c, given that 28\/3*c**5 + 160\/3*c**4 + 16\/3*c + 232\/3*c**q - 32\/3 + 316\/3*c**3 = 0.\nAnswer: -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5 + 1 + (5*(1 + sqrt(1008) - sqrt(1008)) + sqrt(49)\/(-2*sqrt(21)\/sqrt(3)))**2.\nAnswer: -5*sqrt(7) + 139\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**3 - 11*x**2 - 7*x + 26. Suppose 3*m - 73 = -f + 38, 0 = 4*m + 3*f - 143. Suppose 2*r = 32 + m. What is the remainder when d(-11) is divided by r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a factor of 9538106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (102\/8670)\/(4\/(-700)) - (-3 - -1)\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 15*n**3\/4 + 77919*n**2 - 124683*n - 62340 = 0.\nAnswer: -20780, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -o + 4, -3*o = -2*u - 18*o + 9 - 24 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k - 4 = -17*l + 20*l, 28*k = l - 28 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -4*k - 474, 4*k = -x - 3*x - 484. Let n = -9 - k. What are the prime factors of n?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.02 - 0.32. Let p = 0.19 + l. Let a = p + 0.87. Round a to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - 13 - (-1 - -2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4 + (5 + -22)\/(3\/(-51))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/7550900 and 75\/28.\nAnswer: 7550900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + 0.8. Let u = l + -1.1. Which is the closest to 0.1? (a) -1 (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*q**5 + 15*q**4 + 1120*q?\nAnswer: -480*q**3 + 180*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 4376*o**2 + 57564*o.\nAnswer: -4*o*(o - 13)*(o + 1107)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-86)\/(-8))\/(217\/868)*1\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2 + 0 - 4 - 9*s - s**2. Let h be t(-6). Suppose -32 = -4*u - 0. What is the greatest common divisor of h and u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from otsjsooqjqnjno. Give prob of picking 4 o.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60684959?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 469831987*s**4 - 3306*s**2 - s + 2220?\nAnswer: 11275967688*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 118b9508 - 2?\nAnswer: 118b9506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iisssssi. Give prob of picking 3 s and 1 i.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/15 and -73\/14?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -58, -81, -104, -127?\nAnswer: -150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a + 5. Suppose 5*w + 20 = 5*c, c + 2*w - 19 = -2*w. Let l be y(c). Let i = -4808\/9 - -534. Sort l, -3\/7, 2\/11, i in increasing order.\nAnswer: l, -3\/7, i, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 741816?\nAnswer: 2, 3, 10303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uluvf. What is prob of sequence ul?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2. Let m(n) be the first derivative of 9*n**2 - 98*n - 1440. Determine m(l(w)).\nAnswer: 18*w**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -38201 + 54773. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 12 = -n, 0 = 5*y + n + n - 51. Suppose 14*k - 460 = y*k. What is the highest common factor of k and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -5. Suppose -u*a - 4*z = 254, -z = -4*a - 360 + 34. What is the units digit of 2\/((-8)\/a)*2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84493136257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -71.9 + 72. What is the closest to 2\/5 in -5, -1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72293 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/((h**(-1\/3)\/h*h)\/h))**29)**26 assuming h is positive.\nAnswer: h**(9802\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -628539 > -628444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(875) + sqrt(875))\/(sqrt(125)*-1))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2282, 18228, 61524, 145844, 284862, 492252?\nAnswer: 781688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1241237 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*p**3 - 88*p**2 + 84*p = 0. What is p?\nAnswer: 0, 1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 69969, 69932, 69895, 69858, 69821?\n\"Answer: -37*s + 70006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2500\/28 - -2*2\/(-14). Suppose -43 - b = -3*p. Calculate the highest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.052241 to 3 dps.\nAnswer: 0.052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wml when three letters picked without replacement from {l: 1, s: 1, w: 1, m: 1, q: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -20060211?\nAnswer: 20060213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 800 and 110319840?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 + 1 - -4) + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asa when three letters picked without replacement from rraraisaarlarsa.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 - 1 = -27*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-24)\/(-20))\/(3\/5530). Let b = 1039 + g. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 70 divide 66010?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 518?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.7 + -7. Let b = w + -15.7. What is the nearest to 0.2 in 5\/2, b, -0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3519392 is divided by 108?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1746776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.06 - -0.34. Let f = 25 + -22. What is the second smallest value in j, f, -3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19 + 19 + 0 - 9.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i, 1 v, and 1 k when four letters picked without replacement from {v: 1, k: 3, i: 13}?\nAnswer: 117\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12673\/6 or 2112?\nAnswer: 2112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(22) + sqrt(154)\/sqrt(7))*3 - sqrt(220)\/(-1*sqrt(10)))\/(1*sqrt(242)*-6 - (1*sqrt(242)*3 - sqrt(242))).\nAnswer: -7*sqrt(11)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 42 + 2*j + 45.\nAnswer: -j + 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + z - 2. Let h(n) = 2*n**3 + 90*n**2 + 326*n + 324. Let o(l) = h(l) + 2*q(l). What is p in o(p) = 0?\nAnswer: -40, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -172 - 45?\nAnswer: -207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**5 - 7210*m**4 + 45*m**3 - 4*m**2 + 2*m + 16365 wrt m.\nAnswer: 120*m**2 - 173040*m + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 - q**2 - q. Let g(l) = -l**2 - l + 1. Let t be g(1). Let m be c(t). Differentiate 0*f**2 + 0*f**m - 1 - 2*f**2 with respect to f.\nAnswer: -4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*l - 4*l = 0. Let t(o) be the first derivative of 1\/2*o**4 + 0*o**2 + 3 + l*o**3 + 0*o. Factor t(f).\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (v + 0*v - 3*v)*(27 - 9*v**2 - 27)*(-v + 0*v + 3*v) to m*v**4 + x*v**3 + n*v**2 + y*v + l and give m.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 152 or 165?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + -2112120?\nAnswer: -2112203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s**3 - 65*s**2 - 447*s + 1098. Calculate n(71).\nAnswer: -393","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 17394413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2 + 23077314*u + 23077316.\nAnswer: -2*(u - 11538658)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 69 + 57 = 0. Sort 7, -29, r, 4 in ascending order.\nAnswer: -29, r, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in eleven eighths of a tonne?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -6. Which is the nearest to 1? (a) f (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*n + 7*n - 20*n + 7*n.\nAnswer: -8*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -19069 - -44420. What is the hundreds digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 5*i)*(-16 - 29 + 106 - 9).\nAnswer: -260*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*v - 2)*(-1 + 2 - 3)*(2*v + 2*v - 3*v) - 3*v - 8*v**2 + 3*v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 0*g - 2*g**2)*(-473*g + 227*g - 43*g).\nAnswer: 578*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 5*d**2 + d - 2. Let k be g(-2). Suppose -2*s + 5*p = -4*s + 14, -5*s + k = 3*p. Find the third derivative of -3*n**2 - 2*n**6 + 2*n**2 - n**s wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 13 (c) -2\/5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 140 - 64. Suppose -4*b = h + y, 3*h - 78 = b + 4*b. Does 2 divide ((-8)\/12)\/(4\/b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/72 and -71\/59076?\nAnswer: 118152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 140022*b**2*h**4 - 10083*b**2*h - 26*b*h**5 + 18*b*h wrt h.\nAnswer: 1680264*b**2*h**2 - 520*b*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.0026916286 to four decimal places.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -167 + 86 = -27*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(77) + sqrt(77)*2 + sqrt(77)))\/sqrt(7) + sqrt(22)\/(sqrt(2)*-2*-6).\nAnswer: -287*sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*z - 34*z + 8. Suppose -b - 2*s = -5, 0 = 8*b - 3*b + z*s - 33. Solve 2*t - 3 + b = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**3 + 2*f**2 + 10. Let n(l) = l**3 + l**2 + 5. Let z(c) = 2*j(c) - 5*n(c). Let i be z(0). Which is smaller: -6 or i?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 14\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -286.47 + 285. Let w = -14.87 - f. Let v = w - -13. Sort v, -0.3, -1\/8 in decreasing order.\nAnswer: -1\/8, -0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428960809 a multiple of 302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 172.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22432?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/(5\/(-3)) - 3. Solve 5*c + 0*c = s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.791 to two decimal places.\nAnswer: -0.79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-2)*(-9 + 688\/80)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1621*793\nAnswer: -1285453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 10?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a - j, 5*a - 16*j + 15*j - 8 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29864 and 5624?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 10*k - 284. What are the prime factors of k?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(144)*1)\/(3*sqrt(588)*-2).\nAnswer: -5*sqrt(3)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36310221 + -4?\nAnswer: 36310215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3835*p**2 - 273*p - 3 wrt p.\nAnswer: 7670","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 126877 - 85689. List the prime factors of x.\nAnswer: 2, 7, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 + -23. Suppose -6*y - a = -3*y. Let t = 24 + y. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 224 is divided by 69?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 3*m = t + 14, 4*t + 5*m = -28. Let v be (-468)\/45 - t\/5. Is v at most -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 288*d - 4 + 4.\nAnswer: 288*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 166675 to the power of 1\/2, to the nearest integer?\nAnswer: 408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(931)*1*-3)**2.\nAnswer: 8382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rmcmmmdmrfdm. What is prob of sequence fc?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + (-1 + sqrt(1331))**2)*-1 + (sqrt(1331) - sqrt(1331)*2) + 3 - 5*(sqrt(396) + -6*(sqrt(396) + 0))**2.\nAnswer: -50829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (10\/(-25))\/((-133)\/95 + (-18)\/(-15)). Solve -d*r = v - 12, v = 4*r + 161 - 179 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 50918.075 to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 165360 - -4?\nAnswer: 165364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*m**3 - 2)*(2*m**2 - 9*m**2 + 2 + 2*m**2).\nAnswer: 15*m**5 - 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14389 + -14393. What is the fifth smallest value in 3.5, -5, 0.2, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(384)\/(3*sqrt(108)) + (sqrt(32) + ((sqrt(288) - (sqrt(288) + 3*sqrt(288)))\/sqrt(9) + sqrt(32))**2)*-2.\nAnswer: -256 - 68*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120446.\nAnswer: 2, 60223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -14, -34, -56, -74, -82?\n\"Answer: w**3 - 7*w**2 - 6*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30143 is divided by 157.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1986220063?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 2*n + n)*(5 - 40*n - 3 - 2*n) as l + m*n + y*n**2 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15978?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5526841?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.07 - 0.03. Let j = -0.4 - f. Let l = j - -3.3. Which is the third smallest value? (a) l (b) 0.05 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o + 22. Give v(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3*2\/(-33) - (-4)\/(-88)*-92. Solve x = -4*y - 4*x - d, -2*y = 4*x + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + -8 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9.992841l?\nAnswer: 9992.841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**4)**(2\/23))**(-3\/5)*w**(1\/10)*w**(-2\/17)*w*w*w\/w**6*w**(1\/4)*w*w assuming w is positive.\nAnswer: w**(-1527\/1564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 212326 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4496 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: Calculate prob of picking 1 h and 3 w when four letters picked without replacement from wwhwwhwpp.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.66 + 0.04. Let n = -8.604 + 9.2. Let k = t - n. What is k rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 2:42 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1682 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 PM and 2:44 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43224984*x**3 - 7452679*x wrt x.\nAnswer: 259349904*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -189aa9 (base 15) to base 14.\nAnswer: -2323d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5\/4 - 173*c**4\/2 + 29581*c**3\/4 + 15051*c**2 + 7569*c = 0. What is c?\nAnswer: -1, 0, 174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 68369 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 16) in base 13?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -152062 + 1?\nAnswer: -152061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*w - 1. Suppose -w*p + 22 = 2*c, -5*p - 7 + 48 = -2*c. Let u = 554 + -551. Solve p - u = k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -3cb4?\nAnswer: 3cbc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 - 13*i**3 - 2*i**3 - 3*i**3 + 3*i**3 - i**3 + (3 - 4 - 1)*(-5*i**3 + 5*i**3 - i**3).\nAnswer: -13*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, u: 5}. What is prob of sequence hu?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 24 = -5*g, 37*s - 41*s + 5*g - 12 = 0. Let x(a) be the second derivative of 5\/6*a**3 + 1\/2*a**s + 15*a - 1\/12*a**4 + 0. Give x(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m - 25051 = -19*m. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -16\/383?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-239)\/(-4780)*70\/(-8)*11\/77\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76958456 to the power of 1\/2, to the nearest integer?\nAnswer: 8773","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 1503, 1623, 1825, 2109, 2475, 2923?\nAnswer: 3453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, u: 7, o: 1, x: 1, g: 2}. What is prob of sequence oxo?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -2976, -12037, -27138, -48279, -75460, -108681, -147942?\n\"Answer: -3020*u**2 - u + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20 + -14 + (1 + -2 - 2). Let h(d) be the third derivative of -d**6\/120 + d**5\/20 - d**4\/24 - 16*d**2 + 3*d. Determine h(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:09 AM and 6:46 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-19))**(-4\/21)*(c*c**(1\/22))**(-12\/11))**2 assuming c is positive.\nAnswer: c**(12596\/2541)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 329*l**3 - 513*l**2. Let n(t) = -987*t**3 + 1538*t**2. Let v(k) = -11*c(k) - 4*n(k). What is the third derivative of v(p) wrt p?\nAnswer: 1974","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 105 = -3*s. Suppose 4*x + 2*o - 58 = 0, -3*x + s = 4*o - 0*o. Calculate the remainder when 45 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tkk when three letters picked without replacement from ttttttkttktttttttt?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 1547\/1155 + (-63)\/45 - 1864\/(-264)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 40654, 81421, 122188?\n\"Answer: 40767*l - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -17*f**5\/60 - f**4\/12 + 43*f**3\/6 + 34*f**2 + 2. Find the second derivative of a(r) wrt r.\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v - v + 3*v**3 - 2*v + (v - 5 + 5)*(3*v**2 - 4*v**2 + 16*v**2 + (-4*v**2 - 2*v**2 + 2*v**2)*(4 + 2 - 5)).\nAnswer: 14*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1377 + -4129\/3. Which is the second smallest value? (a) 3 (b) m (c) -0.033\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 8:15 AM?\nAnswer: 7:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-410 - 1429 + 554)*(-3*z + z**2 - 7*z**2 + 4*z)*(0*z + 5*z - 3*z).\nAnswer: 15420*z**3 - 2570*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-30)\/4)\/(-5) + -2. Let g = -205 + 205.1. What is the closest to g in 13, 0.2, r?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28\/10)\/((-24)\/(-1290))*14\/(1568\/(-16)).\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2756737.\nAnswer: 17, 31, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-1 + 21)*((-16)\/(-10) + 0) and 10?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r - 2*l - 482, 5*l + 715 = -r + 4*r. What is the remainder when r is divided by 42?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -405*o - 5506 = -6316 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in 4, -2\/17, 44929?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1756 + (-3 - (-7 + 4 + -4)).\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-4 + sqrt(2736))**2.\nAnswer: -96*sqrt(19) + 2747","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express t + t**2 + 57 + 3*t**3 - 57 as d*t**3 + h*t**2 + m + q*t and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6543?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230772*b**5 + b**4*p**3 - b**2*p - 18590*b*p - 11*p**3 wrt b?\nAnswer: 13846320*b**2 + 24*b*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 3:33 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0013733734476 rounded to 6 dps?\nAnswer: 0.001373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 10\/25 - 4\/10. Suppose -c + 15 = -b*c. Suppose -8*i - 32 = -88. Solve -4*q = -i*q - c for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100, -108, -116?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 107 - 5?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 175 is divided by 49?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7 = 1, -5*p - 5*b = 620. Let v = 569 + p. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60296635?\nAnswer: 5, 7, 157, 10973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/4 (b) 5\/3 (c) 4\/107 (d) 0.4 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 283459847.\nAnswer: 11, 53, 601, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g**2 + 75*g - 14. Suppose -7*a + 3*a = 3*x - 75, 50 = 2*x + a. What is d(x)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 6:18 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 + 16*y**2 + 8*y + 9. Let l(o) = -5*o**3 - 46*o**2 - 25*o - 26. Let v(s) = -3*l(s) - 8*x(s). Let m be 30*1*3\/9. List the prime factors of v(m).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 + (3 - -36)*(-8)\/6. What is the hundreds digit of (-8050)\/b - 6\/8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-60)*-4)\/1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -23*q**3\/6 - 9*q**2\/2 + 5*q. Let o(x) = x**3 + 4*x**2 - 3*x + 1. What is the remainder when j(-2) is divided by o(2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 191\/511 - -4\/73. Let j = 0.115 - 0.015. Let m(g) = -g**2 - 8*g - 8. Let w be m(-6). Which is the closest to j? (a) v (b) w (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6307, -12753, -19199, -25645?\n\"Answer: -6446*h + 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**3 + 3*j**3 + 13*j**3)*(529 - 274 - 311) in the form w + m*j + z*j**2 + b*j**3 and give b.\nAnswer: -1064","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 13. Suppose 0 = -p - q + 5*q - 8, -p - 2*q + 4 = 0. Suppose p = -12*n + 25 + 11. Calculate the least common multiple of n and r.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 178251 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/14)*k**(2\/7)*(k*(k\/(k*k\/(k\/k**(-1)*k*k))*k)\/k)**(1\/11))\/((k\/k**(-4\/9))\/(k\/(k**9*k))*k**(-8)\/k**(-1)) assuming k is positive.\nAnswer: k**(-2587\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50560 and 295144?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(7\/((-35)\/(-20)))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - 2 - (-2628 - -2576)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -20*k + 329. Put 0, k, -4 in descending order.\nAnswer: k, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t + 6. Let m be d(3). Let f = -1 + 1. Let o = -10 + 12. Which is the closest to 0.1? (a) f (b) m (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4159*p**5 + 1448*p**5 - 1201*p**5 - 2 - 2386*p**5 + 31*p + 28*p**2 - 25*p wrt p?\nAnswer: -377880*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2210234?\nAnswer: 2, 13, 85009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4730372 divided by 2365186?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5 - 3*z**5 + 0 + 7*z**5 - 2*z**3 + 0*z**5 + z + 4 wrt z.\nAnswer: 80*z**3 - 12*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 223031251*r**3*s + 214692091*r**3 + s wrt s?\nAnswer: 223031251*r**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -656 - -993. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24 + -11 - (-4 + 4)) + -12.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262, 526, 790?\nAnswer: 1054","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2 + w - 1. Let l(a) = 5*a**2 + 5*a - 5. Let b(n) = -2*l(n) + 11*q(n). Let g be b(2). Solve -2*v + 4*p + 2 = 0, 4*v + 8 = g*v + 5*p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r + 11*r = 17*r. Solve r = -10*j + 61 - 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y - 107*y + 1239 = -1022. Suppose -3*d + 73 + 326 = 0. Calculate the highest common factor of d and y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.09867?\nAnswer: -0.29601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 2:17 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8877439?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1 (b) 1\/4 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2569188\/9779 - 2890\/11. Is j less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 61*w**2 + w. Let q be f(-1). Suppose -3*c + 24 = -2*c. What is the greatest common divisor of c and q?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (-6 - -3 - -4). Let l(v) = 4*v**4 + 2*v**3 - 3*v**2. Let k(r) = 3*r**4 + r**3 - 2*r**2. Let s(p) = c*l(p) - 3*k(p). Factor s(m).\nAnswer: -m**3*(m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79 = 4*i - 5*u, -2*i + 35 = -4*u + 3*u. What is the greatest common factor of i and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 657378.\nAnswer: 2, 3, 59, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2786736817 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -42165.5847828 and 722?\nAnswer: 42887.5847828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v - 868 = 7*v + 4*n - 732, 68 = -5*v - 3*n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 411 + -783. Let a = h - -745\/2. Let z = -12 - -20. Which is smaller: a or z?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18880120270137\/239048248 + -1\/59762062. Let k = -78877 + t. Let g = 423\/8 - k. Find the common denominator of -59\/12 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 5, -93, -293, -595, -999, -1505, -2113?\n\"Answer: -51*h**2 + 55*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 12*v**2 - v + 13. Let k be a(12). Suppose -2*h + 7 - k = -2*r, 3*h = 15. Differentiate -3*w**r + 20 - 15 + 9*w**2 wrt w.\nAnswer: 12*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10*r - 7. Let o(x) = 3*x - 2. Let v(f) = -6*k(f) + 21*o(f). Let t(b) = -22*b**2. Give v(t(m)).\nAnswer: -66*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 10}. Give prob of sequence ooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 10) in base 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-1)*16\/12?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -349 or -373?\nAnswer: -373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 58124\/(-748) - 2541\/(-33)\nAnswer: -12\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 1\/(3\/9). What is the remainder when ((-3)\/(3\/(-28)))\/t is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 48060130 to the nearest 1000000.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 2*i**2 - 7*i + 7. Let l be n(1). Factor -15 + 18*r + 140*r**l + 0 - 143*r**2.\nAnswer: -3*(r - 5)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 936, 2038, 3162, 4308, 5476, 6666?\n\"Answer: 11*x**2 + 1069*x - 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1826 and 8465?\nAnswer: 15457090","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -0.05, -6, 1, -0.06, 3\/4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {e: 5, s: 4, c: 8}.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*g - 2194030 = -240*g + 458*g. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 943093 bigger than 943092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/29)*k\/(k\/(k\/k**6)))\/(k\/(k\/k**7)*k)**(-1\/4) assuming k is positive.\nAnswer: k**(-85\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppcpcpccppppcpcc. What is prob of sequence ppp?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, 2\/7, 0.48, -8, 8\/7, -0.4 in descending order.\nAnswer: 8\/7, 0.48, 2\/7, 1\/6, -0.4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**2 + 2992*i**3 + 0*i + 0*i - 2994*i**3 in the form x*i**2 + r + j*i + c*i**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 6:03 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-5 + 6) - (-3 - -8 - -3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = k + 6. Suppose -t + 5 = -0*t. Let o(a) = 0 + t - 4 - a. What is o(k)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4254.\nAnswer: 2, 3, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/7973 and 89\/1378258.\nAnswer: 92343286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-4)*(-64)\/(-176)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(-2*sqrt(4)))\/(sqrt(84)\/(sqrt(7) - (sqrt(7) - sqrt(63)))) + -1*sqrt(4)\/(-1*sqrt(2)*6).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 8. Let c = 555 + -557. Let q be (c\/(-6))\/((-26)\/78). What is the second smallest value in q, t, 3\/5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 312 - 308. Solve l = 5*o + 29 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -27, 4, -2, 34.\nAnswer: -27, -2, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11.6 - -12.9975. Let p = 21.595 + b. Let n = -23 + p. Round n to 3 dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38954 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 i(q) be the third derivative of -5\/24*q**4 + 87*q**2 + 1\/15*q**5 + 0 + 1\/3*q**3 + 0*q - 1\/120*q**6. Factor i(r).\nAnswer: -(r - 2)*(r - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -m*q**2*r - 27892*m*q**2 + 57*m*q - 35*m + 3*q*r wrt q?\nAnswer: -2*m*r - 55784*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -6, 0.1, 5 in increasing order.\nAnswer: -8, -6, 0.1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 11*z**3 + 0)*(29*z**2 + 16*z**2 + 70*z**2).\nAnswer: 1265*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 831.618 millimeters in centimeters?\nAnswer: 83.1618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**2 - c. Let p be f(-1). Suppose 60 = 5*y - p*y. Let d be 4 - 4 - -7 - 1. Calculate the greatest common divisor of y and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y - 54. Suppose 3*l - 27 = -3*d - 6, 56 = 4*d - 3*l. Let c(g) = -g + 19. Let u(v) = d*c(v) + 4*o(v). What is u(-5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes after 10:48 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*i**3 - 14*i**3 - 12*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 170046 and 1890.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*f - 246559 + 1764*f + 246559.\nAnswer: 2399*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/9, 6\/5, 0.4, 0 in descending order.\nAnswer: 6\/5, 0.4, 0, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-7)\/(1*1\/(-11)). Suppose 4*s - 65 + 21 = 0. Calculate the highest common factor of s and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10248*v - 7730*v = 85612 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3*i**2 + 24*i + 83. Let o be w(-4). Let s = o - 59. Are s and -121 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/4 - 1\/(-4). Suppose -c*t + 3*t = -6. Let h = 3 + 7. Calculate the least common multiple of t and h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66*m**5 - 19*m**3*z + m**2*z - 2*m*z + 132 wrt m.\nAnswer: -3960*m**2 - 114*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 14*r - 74 = 0, -243*r - 40 = -251*r for h.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.702207g in nanograms?\nAnswer: 1702207000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 24*p - 57. List the prime factors of z(10).\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of y**2 + 0*y**6 - 1\/84*y**8 + 0*y**3 + 0*y**4 - 1\/60*y**5 + 0*y + 0*y**7 + 0. Find the third derivative of k(q) wrt q.\nAnswer: -240*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16653130?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 30 = 5*n - 15, -3*n + 21 = w. Let k = w - 28. Let v(y) = 2*y**2 + 161*y**3 - 3 - y**2 - 160*y**3 + 2*y. Calculate v(k).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g*v**3 + 53*g*v**2 - 3*g*v - 21*g - 3*v**3 + 189564*v**2 - 381552 wrt v?\nAnswer: 6*g*v + 106*g - 18*v + 379128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3692048516.\nAnswer: 2, 13, 71000933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 318710 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 4*y + 41. Let m be c(-9). Suppose -m*b + 33 = 13. Solve w + b = 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h. Let b(n) be the first derivative of -7*n**3\/3 - 3*n**2 + 510. Give a(b(s)).\nAnswer: -21*s**2 - 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/20 + 21\/(-2). Let u = f - 4. Suppose -3*x - 15*y - 41 = -16*y, -5*y + 75 = -5*x. Which is bigger: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31552 = -9*f - 25*f. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z - 2. Let g(m) be the second derivative of m**3\/2 + 100*m + 1. Calculate h(g(j)).\nAnswer: -6*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 131 a factor of 3899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 272657899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-5)*6*(-95)\/513?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1938060, 1938069, 1938078, 1938087, 1938096?\n\"Answer: 9*b + 1938051","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/2 - ((-290)\/348 + 7)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 59?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 7, y: 4}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -411 (base 9) in base 8?\nAnswer: -516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 21*u + 0*u**2 + 6*u + 17 - u**2 - 14*u. What is the remainder when c(10) is divided by 17?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1497574020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85 is divided by 20.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302248413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 5:58 PM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-7 - (8 + -15)) + 1?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 70 (b) -1\/5 (c) 20290\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1906 is divided by 947.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -12*j**2 - 696*j - 3724. What is g(-52)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02, 0.1, -61, 0, 8, 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 + 183*t + 2790.\nAnswer: 3*(t + 30)*(t + 31)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/1001 and -157\/6006?\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -37490 (base 10) in base 16?\nAnswer: -9272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 9288769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -367244.1 - -367636.0599. Let k = g - 392. What is k rounded to three dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-8\/3))**25*(j*j*j**(-1))**(2\/49))**(-22) assuming j is positive.\nAnswer: j**(215468\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + r = -2*r - 9, 5*r + 15 = -3*o. What is the lowest common multiple of 1 and (-14)\/35*(o - 20)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 139 and 1?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8 - -9)\/(1 - 0). Let l = 73 - 50. Which is greater: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 2*d**4 - 5094*d**3 + 855012*d**2 + 3501680*d = 0.\nAnswer: -4, 0, 185, 2366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182263 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1280924 and 3037722.\nAnswer: 3578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 4*f**3 - 346708*f**2 - 1040152*f - 693440 = 0.\nAnswer: -2, -1, 86680","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 n, and 2 r when four letters picked without replacement from jrjjojjjjrrjjjjrnjr?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -84084 divided by -1617?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.06 + -0.36. Which is the third smallest value? (a) 4 (b) 2\/11 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*c**2 - 16*c**2 - 7*c**2 - 2*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(21\/2))\/((-16)\/(-72))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -515*b + 1339*b - 521*b - 306*b.\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0, -2\/19, -94, 5, 0.2?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0720713774 - -326035.0090713774. Let a = y - 325899. Let s = 136 - a. Round s to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 < 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2423?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m - 2. Let l be z(-6). Let t be (-24)\/(-15)*10\/l. Suppose 5*y - 22 = t*y. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2774162 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (68\/8)\/(3\/(-4*36\/24))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 130293 is divided by 697?\nAnswer: 651","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 + -46 - (51 + 16 + 5).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 66*j. Let u be l(2). Suppose 5*g - 2*g - u = 0. Is g a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81\/(-9) - -13 - -1142677*3\/3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5\/69 (b) 14 (c) -5 (d) 0 (e) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + i + 6 = 0, -2*s = 31*i - 26*i + 24 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8925\/(-2550))\/(14\/(-48) + 0). Let h(n) = n + 9. Let j be h(0). Is b greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 1:50 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18 - 10. List the prime factors of ((-10)\/w)\/((-2)\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2069826 minus 0.04?\nAnswer: -2069826.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2449 - 8063*d**2 + 2449.\nAnswer: -8063*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 42*o - x, -80*x - 19 = -5*o - 76*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1066 * 41.\nAnswer: 43706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26085413*f**4 + 127304694*f wrt f.\nAnswer: 313024956*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.062 to three decimal places.\nAnswer: 0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2786, 28, -33\/8?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -9*l. Let b(c) be the first derivative of c**2 - 3. Determine b(y(z)).\nAnswer: -18*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-one sixths of a century?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 135?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15320*c = -15357*c + 999 for c.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*m - 11, -4*j - 27 = -2*m - 1. Let y be j\/(-12)*4 - -38. Suppose -y + 7 = -2*o. Is o a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**2 - 862*n + 13390. Calculate d(-446).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2786222839 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2795\nAnswer: -1\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7781 rounded to 2 decimal places?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 24\/13 + 38\/13*f + 16\/13*f**2 + 2\/13*f**3 = 0.\nAnswer: -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 414 = -4*z + 7*z, 5*c - 2*z - 690 = 0. What is the least common multiple of c and 1978?\nAnswer: 5934","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2. Let v(d) be the second derivative of d**5\/3 - 73*d**2 + 4*d - 46. Let r(l) be the first derivative of v(l). Determine r(n(y)).\nAnswer: 180*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/w**(1\/6)*w*w)))\/(w\/(w\/w**(-5)*w))*(w**(-1\/3))**(-16))\/((w\/w**(-2\/5))**(-22)\/((w*w*w**0*w)\/((w\/(w**(-6)*w))\/w))) assuming w is positive.\nAnswer: w**(1289\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 AM and 8:01 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.132 - -2.132. Let l = 43\/2 + -217\/10. Which is the closest to x? (a) -0.1 (b) l (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -3*d + 123. Let i = d - 26. Suppose 19*a = 21*a - i. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -530, 38, 8 in descending order.\nAnswer: 38, 8, 4, -530","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*w**2 - 3*w**2 + w**2 + (-3*w + w + 4*w)*(-4*w + 2 - 2) + 3*w**2 - 5*w**2 + 0*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 2*g - g)*(-2*g**3 + 2*g**4 + 2*g**3) - 4*g**5 - 2*g**5 + g**5 + 954*g**5 - 481*g**5 - 561*g**5.\nAnswer: -95*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -512623 - -4613612\/9. Find j, given that -1\/3*j**3 - h*j**2 + 4\/3 + 16\/9*j = 0.\nAnswer: -3, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (148\/72 - 2)*-4. What is the nearest to 0.1 in n, -0.3, 6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -19*i**3 - 8*i**2 + 255*i - 955. Calculate z(4).\nAnswer: -1279","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7616 = -3*l, -7*r + 3*l + 1904 = -6*r. What is the highest common factor of r and 280?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 22 = 5*l, 0 = 13*l - 15*l - y + 16. Suppose 4*z = -3*k + 12, 0 = z + 4*k - 0 - 3. What is the units digit of z*94\/l - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.54523816465 and 0.4.\nAnswer: -0.14523816465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p. Let m(k) = k**2 - 32*k + 64. Let z be m(30). Let n(o) = 8*o. Let t(g) = z*n(g) - 11*u(g). Let a(v) = -2*v**2 + 145*v. Give t(a(f)).\nAnswer: 2*f**2 - 145*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x. Let t(q) = 16*q. Calculate z(t(o)).\nAnswer: 48*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3882 + 5596. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 20 = 2*l, -9*d = 4*l - 12*d - 26. Sort -2, 105, l in ascending order.\nAnswer: -2, l, 105","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/((-9)\/12)*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = 10*l + 23 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = d - 5*d - 19, -t + 4 = d. Sort -2, 0.1, t.\nAnswer: -2, 0.1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1322 - 1313. Solve -k*o - 55 + 10 = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 161*r + 1633. What is u(-10)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -21711, -21516, -21297, -21054, -20787, -20496?\n\"Answer: 12*o**2 + 159*o - 21882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (4 - 6) - (1 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (-88 + -13 + 4)\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32898*j + 32898*j + 135*j**3 + (-2*j**2 - 2*j + 2*j)*(j - 3*j + j) to the form q*j + a*j**2 + r*j**3 + s and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = w - 5*g + 2, 5*g = -2*w + 22 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 22*k**5 - 7*k**4 - 30*k**3 + 22*k + 7. Let b(r) = -7*r**5 + 2*r**4 + 10*r**3 - 7*r - 2. Let f(x) = 7*b(x) + 2*o(x). Determine d, given that f(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 68, 562, 1482, 2828, 4600, 6798, 9422?\n\"Answer: 213*t**2 - 145*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.322 - 3.322. Let u = 2 - -1. Let t = -5\/8 - -3\/8. Which is the nearest to 2\/7? (a) t (b) k (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnyunyhon?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + i + 13. Let a(r) = -2046*r**2 - 15*r - 182. Let l(n) = a(n) + 9*g(n). Find the second derivative of l(v) wrt v.\nAnswer: -4074","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/23 in 3\/37, 1\/4, 2\/9, 3?\nAnswer: 3\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*r = -40*r + k - 0*k + 721, 4*r = -k - 41 for r.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3572660 a multiple of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.09991217\nAnswer: -0.39964868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2 + 19*v**3 + 4*v**2 + 334*v + v**6 - 30*v**6 - 3*v**3 + 9*v**6 + 7*v**6 wrt v?\nAnswer: -1560*v**3 + 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3580 = 7324*b - 7503*b for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*s + 2150 = -417*s - 329*s + 67775 for s.\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -3. Let x = q + 1. What is the units digit of (2 + x)*(-6)\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c. Let p(y) be the second derivative of -2*y**3\/3 - y**2\/2 - 3*y - 3. What is 7*n(s) - 3*p(s)?\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**2 + o + 12. Let l be n(0). Calculate the highest common factor of 132 and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 665373521?\nAnswer: 19, 191, 183349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 739699 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 34*i**2 + 13*i - 2. Let j(x) = x**2 + 3*x. Determine -2*j(m) + w(m).\nAnswer: 32*m**2 + 7*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1849, -1847, -1829, -1783, -1697, -1559?\nAnswer: -1357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 333 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 300346\/295281 - 6\/4687. What is the common denominator of j and 149\/294?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3870.\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 1216\/200)*(1 - -14)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -22. Let l(h) = -2*h - 5. Let u be l(a). Let b be ((-8)\/1)\/(-8 - u). Calculate the highest common factor of 40 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + 4*v = -11, 4*h + v - 100 = -79 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.1, 44.7, -1\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1142, 2, 3, 1, 5, 10 in decreasing order.\nAnswer: 1142, 10, 5, 3, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 18 = -7*f + 3*o, 158*f - 27 = 155*f - 2*o for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -192a5 + 1?\nAnswer: -192a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 12 - (2 - 2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 50*l**2 - 5344*l - 649. Calculate o(107).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 + (3 - 1) + -4. Let t = -51 - -56. Suppose 4*y - t*y - v = 0. Sort y, 5, -3 in descending order.\nAnswer: 5, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((11296\/20474)\/((-24)\/(-2)))\/((-4)\/(-1)).\nAnswer: 1\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 1. Suppose 0 = 3*k - 16 + u. Suppose h - 94 = -k*s - 2*h, 110 = 5*s - 5*h. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 8b83?\nAnswer: -8b7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-11)\/(-3))\/(396\/216). Sort j, 0, -1, 96.\nAnswer: -1, 0, j, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/3 (b) -2 (c) 2\/21 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 1 - (12 - -19 - (-4 - -14)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*g + 3*j, -2*j = 4*g - 7*j - 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1376419*p**4 - 1157904?\nAnswer: 5505676*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-9)*r)\/(r**(-11)*r) assuming r is positive.\nAnswer: r**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -423 (base 5) in base 15?\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 35 and 1.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*s**2 + 40080*s + 11155600.\nAnswer: 4*(3*s + 1670)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 0, -4*q + 592 = -2*q - 2*x. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 18 + 3*g**2 - 13.\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2553 and -0.74279984.\nAnswer: -2553.74279984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.53377 and -639075.\nAnswer: -639076.53377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -1\/11, 10, 93\/5, 5.\nAnswer: -1\/11, 0.9, 5, 10, 93\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the first derivative of 2*m + m**4 + 0*m - 1 + 0*m**3 + 0*m**3. What is the derivative of v(c) wrt c?\nAnswer: 12*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39745 is divided by 2478.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-6)\/44) + -1. Suppose 0 = -2*r + 3*i + b, -2*i = 2*r - 6*i - 24. Suppose r*d - 12 = 2*d. Solve 3*c + 3 = 3*w, 5*c - d*c = 4*w + 6 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -8 (b) 0 (c) -5\/7 (d) 5 (e) -5\/1218\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2177635 and 2178036 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 12*k + 20. Does 14 divide u(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24752 and 200.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.014 and -2749.\nAnswer: 38.486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 520903?\nAnswer: 173, 3011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y and 1 g when four letters picked without replacement from wgwggbygtmggyby?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**4 - 8*j**2 - 1 - j**4 + 57554*j**3 - 57551*j**3 to the form b + s*j**4 + r*j**2 + q*j**3 + c*j and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -24. Let x be 7\/((-147)\/90)*g. Suppose 7*v = 2*v + x. Calculate the highest common divisor of 18 and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2681 is divided by 388?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2*6\/(-4)*-1. Suppose -4*r + p*q - 8 = 2*q, 5*r - q = -9. Is ((-19)\/4)\/(r\/4) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 0 - 1\/12*t**4 + 7\/6*t**3 + 1\/2*t**2 + t. What is the units digit of q(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -298277016 smaller than -298277015?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**2 - 9*h + 12. Suppose 4*k + 6 = -3*x - 24, x + 10 = -2*k. Let d be b(x). Solve 5 = -3*l - d*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from mfsklsl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**5 - 1595*t**4 - 25875*t**3 - 61225*t**2 + 206480*t - 117780 = 0.\nAnswer: -302, -13, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 112750575 to the power of 1\/2, to the nearest integer?\nAnswer: 10618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2430221*h**2 - 2430220*h**2 + 2*h - 6*h.\nAnswer: h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 2 t when four letters picked without replacement from {e: 6, t: 9}?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + a + 1)*(-23*a + 0*a + a) + 90*a**2 + 78*a**2 - 190*a**2.\nAnswer: -44*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 2, e: 7}. What is prob of picking 1 c and 2 e?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -41284*r**3 + 11*r**2 + 2664239*r.\nAnswer: -247704*r + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -113 + 113. Which is the biggest value? (a) 0.01 (b) 1 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-10508)\/284)\/((-1)\/(-2)*7))\/((-2)\/(-14))\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1028463 or 1028465?\nAnswer: 1028463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*g + 17*g + 133 - 133 - 3299*g**3.\nAnswer: -3299*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-12\/5)\/p**4*p**9*(p\/(p*p**(2\/39)))\/p*p assuming p is positive.\nAnswer: p**(497\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5167*k + 21113. What is a(-4)?\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3 and -4315649999.\nAnswer: -4315649996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*105\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*o + 2897 = 3040 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**4 + 0*y**4 + 3*y**4)*(-4*y + 0*y + y) - 170*y**5 + 160*y**5 - 25*y**2 - 13*y**2.\nAnswer: -4*y**5 - 38*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t + 5. Is k(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 11*q + 25. Calculate s(-6).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrrrr. What is prob of picking 3 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiyggz. Give prob of sequence gyyg.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3978.517ng in micrograms?\nAnswer: 3.978517","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**3 - 7*s**2 + 5*s + 6. Let p be q(6). Suppose 0 = -3*z + 2*z. Is -25*(-1 - z - p) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*v - 9*v + 20, w - 11 = -2*v. Suppose -5*l + 0*y + 39 = y, 45 = 5*l - w*y. Calculate the greatest common divisor of 20 and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -109ec + 5?\nAnswer: -109e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 11) to base 5\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 219.82001 - 1.45898?\nAnswer: 218.36103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**4 - g**2 + g**2 + (-2*g**2 + g**2 + 3*g**2)*(10*g**2 + 0*g**2 - 3*g**2) - 101*g**3 + 34*g**4 + 101*g**3.\nAnswer: 49*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-540)\/(-84) + -6)\/(1\/(-76)). Let m = -32 - a. Find d, given that 2\/7 - 11\/7*d - m*d**4 + 1\/7*d**3 + 12\/7*d**2 = 0.\nAnswer: -2, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 9:42 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k. Let s(w) = 142 + w**2 - 23*w**2 - 142. Give t(s(j)).\nAnswer: -88*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of l**3\/3 - 3*l**2\/2 + 5*l - 2. Let w be u(-4). Let z be ((0 - 2) + 3)*w. Calculate the highest common factor of 11 and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g + 0*g + 2*g)*(-3 - 2 + 3 + (3 + 4 - 6 + 3 + 1 - 2 + (-2 - 2 + 2)*(3 + 2 - 4) + 1 - 1 - 1 - 54 - 58 - 30)*(-1 + 0 - 1)) to u + w*g and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 10*p + 72. Calculate the lowest common multiple of 126 and p.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**2 + 1928*f - 11424 = 0.\nAnswer: 6, 476","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -8\/1689?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -3 (c) -1\/6 (d) 3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/9)*s\/s**(27\/5))\/(s**(-15)*s\/s**(2\/13)) assuming s is positive.\nAnswer: s**(5836\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:18 PM and 6:33 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2.3 times -1008750.5\nAnswer: 2320126.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340 is divided by (4 - 85\/25) + (-4616)\/(-40)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = j + 2*j - 6, -6 = -3*j + 3*a. Suppose j*v + 2 = 10. Suppose v*g = 5*g - 177. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -46910\/7 and -6701 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2032010 + 0?\nAnswer: 2032010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11781070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 23 = -v, -3*v + 4*g - 2*g - 77 = 0. Let q = -17 - v. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/8 and ((-20)\/(-30))\/((-11)\/3) + (-33553)\/(-10846)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/10*((-12)\/1)\/(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45 + 42 = -5*v + 2*p + p, 0 = -9*v + v + 2*p - 128 for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -6*u + 62. Let s be i(7). Let r be (9\/(-6) + 1)*-4. Solve r*a - s = -2*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*j = -4, 0 = -2*y + 3*j + 1 + 9. Suppose 2*q - y*m = -20 + 3658, q + 5*m - 1819 = 0. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**5\/4 - 9*j**4\/4 - 13*j**3\/2 - 17*j**2\/2 - 21*j\/4 - 5\/4 = 0.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*u - 43*u + 18 + 28 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15886343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 15 = l, 0 = -l - l - 2*p + 14. Let b be (l + -1)*138\/12. Suppose 5*r + b = 68. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 148*u + 0*u**3 - 151*u - u**3 + 5. Let i be f(0). Suppose -j + 4 = 4*r, 2*r - i = -3*j - 3. Is r smaller than 1\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 j when two letters picked without replacement from {q: 6, p: 2, t: 1, j: 2, g: 7}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -e208c3 (base 15) in base 12?\nAnswer: -3718103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299)*-2 + sqrt(2299))**2 + -5.\nAnswer: 2294","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2064 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/342 and -119\/8322.\nAnswer: 24966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 60645 divided by 5?\nAnswer: 12129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 121 and 2299?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7878 and 48?\nAnswer: 63024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -m - 24, 2*z = -11*m + 12*m + 10 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -52571 - -210?\nAnswer: -52361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -249*n - 41*n - 212*n - 2*n**2 + 12 - 12 to i*n + h + u*n**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -925*h + 125*h - 623*h in the form q + f*h and give f.\nAnswer: -1423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 28*m**2 - 60*m - 797. Give i(8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249935445.\nAnswer: 3, 5, 17, 239, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of p**4\/4 - 7*p**3\/3 + 6*p**2 - 9*p - 2. Calculate the remainder when l(7) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnatetannaaaene. What is prob of sequence nete?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-37)\/(-24)*30\/(-20) and -11\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -214\/3, -42, 20, 54?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 10*p**2 - 29*p - 127. Let j be d(-8). Calculate the greatest common divisor of j and 298.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjlljj. What is prob of sequence jj?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 404665325 to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 312723912 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-42)\/(-12)))\/(9\/(-14)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h + 8*h = 7*h. Suppose h = -7*t + 41 + 15. Calculate the lowest common multiple of 44 and t.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/90 and 13\/145959.\nAnswer: 4378770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 4*h + 4. Let k be g(-5). Let r be (12*(-20)\/(-6))\/(k\/(-310)). Round r to the nearest one thousand.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 11\/2 of a decade?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5*(sqrt(704)*2 + sqrt(704) - sqrt(704)) - (-3 + sqrt(704) + -2) - -6*(0 + 3 + sqrt(704) + sqrt(704))) + 2)**2.\nAnswer: 6016*sqrt(11) + 20100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -15830*q + 4432400. Calculate t(280).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*a - 114*a + 459 = 0. Let b = a - 66. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2064 + 35086\/17. Which is the nearest to r? (a) -1\/7 (b) 13\/2 (c) 5 (d) 0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*h - 5154 = 673 + 2449 - 278 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 770 - 770 + 17*d - 149*d**2 - 49*d**2 in the form q*d + x*d**2 + f and give q.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -7*d**3 + 2*d**2 - 5*d + 7. Let h(g) = -89*g**2 - 15 + 15*g**3 + 11*g - 87*g**2 + 171*g**2. Let r(b) = 6*h(b) + 13*l(b). Give r(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-70 + -346)\/((41\/(-1))\/((-27)\/27))\nAnswer: -6\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25086337 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 107.9\nAnswer: -1.079","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.4, 5, 42, -0.02, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - -115. Suppose -4*p - 10 = -y. Suppose -p*u - 32 = -35*u. What is the remainder when 28 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11655 and 1.5.\nAnswer: 17482.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 28*k**2 - 28*k - 50. Let l be m(-27). Let o(t) = t**3 + 26*t**2 + 33*t - 55. Is 28 a factor of o(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 13 - 35. Let t be 7 - s\/8*-2. Calculate the highest common factor of t and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 5. Let h be d(0). Suppose -4*q - 15 = h*n, 5*q - 4*n - 15 = n. What is the second biggest value in 0.2, 3\/2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -22313?\nAnswer: -22310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -399, -402, -407, -414, -423?\n\"Answer: -r**2 - 398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-52)\/6*((-11)\/(-4))\/((-19)\/(2850\/(-275))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 210 and 7098?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cssvsdddvsd. Give prob of picking 1 c and 2 d.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -42295 (base 10) to base 5\nAnswer: -2323140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - (sqrt(228) + sqrt(228)*1 + sqrt(228)))*-4)\/(sqrt(12) - (sqrt(108) + sqrt(108)*-1)\/sqrt(9))*-1*3.\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.2 (b) -0.5698 (c) -1 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r**4\/7 + 1668*r**3\/7 - 77355*r**2\/7 + 42450*r\/7 + 1515000\/7 = 0. Calculate r.\nAnswer: -4, 5, 50, 505","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 288 divided by 2.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-28)*r*r)\/(r\/(r*r*r**(1\/29)*r*r)))**(-4\/11))**(-1\/57) assuming r is positive.\nAnswer: r**(-888\/6061)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 589*c + 57. Let o be 19*(37 - -11)\/(-16). Let q(x) = 21*x + 2. Determine o*q(k) + 2*m(k).\nAnswer: -19*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -f**5\/20 - f**4 - f**3\/6 - 12*f - 4. Find the second derivative of x(g) wrt g.\nAnswer: -6*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 57.7 and -0.5.\nAnswer: -28.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000031164 to five decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2. Let i(d) be the first derivative of d**6\/20 + 7*d**3 - 21. Let f(t) be the third derivative of i(t). What is f(v(r))?\nAnswer: 18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 13*u**2 + 36*u + 18. Let t be d(-15). Find the common denominator of (t - -19)\/(-3 + 7) and -31\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 254593 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -259 - -258. Let u = 0.05 - -0.45. What is the closest to y in -1\/6, u, -2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-139378)\/(-14755)*5 - 3\/(-13)*-1.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*j + 512, -197 - 288 = -m - 5*j. Suppose l - 2*z - m = 0, 3*l - 4*z - 1567 = -73. Calculate the greatest common divisor of 19 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -366 + 538. What are the prime factors of u?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3596, 2179, 748, -703, -2180, -3689, -5236?\n\"Answer: -p**3 - p**2 - 1407*p + 5005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 119.378, 3\/4, 0.5, -0.4 in descending order.\nAnswer: 119.378, 3\/4, 0.5, 0.1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s - 3*s - 165 = 0. Let h be 0\/(2*(s\/2)\/5). Sort h, -17, 2.\nAnswer: -17, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 8:12 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 19*b + 7 = -18*b, -18 = 3*k + b for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 259*s**5\/12 + 1417*s**4\/6 + s**2 - 5*s - 4. What is the second derivative of y(l) wrt l?\nAnswer: 2590","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 + -114. Let n = 8.1 - r. Let x = 6.1 - n. What is the closest to -1 in 3, 0, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 20*c - 180. Calculate the greatest common divisor of 25 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 9*j - 6. Let n be b(-10). Let y be 3*5*n\/12. Suppose -y*v = -2*v - 15. What is the greatest common factor of 35 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -97*v + 1354. Determine h(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 10*o**2 - 16*o + 17. What is g(7)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 19 - 21 - 0) + (-9 - -1)?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 80 - 37 - 28 + 160*k**2 - 2*k**2 wrt k?\nAnswer: 316*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -450766, -450875, -450984?\n\"Answer: -109*y - 450657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 10\/(-16)) + 47277\/(-71688).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(26) - sqrt(936)*-6)\/(sqrt(2) - sqrt(24)\/sqrt(48) - sqrt(2)).\nAnswer: 74*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*b - 6. Factor -4*h**2 - b*h - 7 - 1 - 6*h + 0.\nAnswer: -4*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*l**2*o**2 - 185*l**2*o - 202*l*o + 28714*o**2 + o wrt o.\nAnswer: -6*l**2 + 57428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -12, -254819, 8 in decreasing order.\nAnswer: 8, -1, -12, -254819","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*c = 10 - 34 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -154004 (base 6) to base 5.\nAnswer: -440444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*w**2 - 104*w**2 + 75*w**2 - 3.\nAnswer: -8*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 15*w**2 - 1. Calculate the remainder when f(2) is divided by (-8)\/(-44) - ((-6550)\/(-55))\/(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 188720, 188751, 188782?\n\"Answer: 31*w + 188689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1335034696 + -5.\nAnswer: 1335034691","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-11))\/r**(-3))\/(((r*(r*((r\/(r**(2\/41)*r))\/r)\/r)\/r)\/r)\/(r**(-1\/6)\/r)) assuming r is positive.\nAnswer: r**(3907\/246)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 27674153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 3*w. Let p = 3 + 0. Suppose -p*u + 5*l + 6 = 0, 4*l - 6 = -4*u + u. Let s(m) = -m**2 - 2 - u + 4. Calculate s(b(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*q + 63. Suppose 0 = x + v, -v + 1 = -5*x + 25. Let i be (-1 + -5)*x\/(-6). What is the greatest common divisor of i and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/2 and 27999\/141345 + 6\/(-30).\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4483 greater than 582871\/130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 12:19 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -94 minus -2045.59?\nAnswer: 1951.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2 = -3. Let g(t) be the second derivative of t**3\/6 - t**2\/2 + 2*t. Let c(w) = -w**2 - w + 5. Let q(m) = a*c(m) - 3*g(m). What is q(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 - 48*y**2 + 487*y + 73. Determine j(35).\nAnswer: 1193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:36 PM and 8:03 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 a factor of 374256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 7. Suppose -x + 0*x + 56 = q. Suppose z - x = -z. Is z a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 11? (a) -4 (b) 0.4 (c) -1 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1584) - ((sqrt(1584) + -5)*4 + sqrt(1584) - sqrt(1584))))**2.\nAnswer: -1440*sqrt(11) + 14656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49974 is divided by 3182.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -3. Suppose 3*v = -l, 0 = -a - 2*v - 3 - 4. Let o be (a + -1)\/(-8 + 6). Solve 3*t - 6*t - 6 = o for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 24761079*g*y**3 - 3*g*y**2 - 2*g*y - g - 265*y**2 + 2007*y wrt y?\nAnswer: 148566474*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-328)\/(-6))\/(16\/(-72)). Let r be (2\/(-6))\/(2\/i). Suppose -67 = -3*o + r. What is the remainder when o is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times 0.06847?\nAnswer: -0.027388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -2 + 26*p - 1 - 3. Let w(l) be the third derivative of -5*l**4\/24 + l**3\/6 - l**2 + 7. Let v be -18 - 6\/(-3 + 0). Give v*w(o) - 3*h(o).\nAnswer: 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 20*v + 55. Let k(x) = -x**2 - 19*x - 52. Let c(n) = 6*h(n) + 7*k(n). Let j be c(-4). Solve j + 16 = 6*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c + 6*c - 5*c**2 - 13*c - 5. Let n be s(7). Let b = -173 - n. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 57798, 2, 0, -2.\nAnswer: -2, 0, 2, 57798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/3)\/n)**24 assuming n is positive.\nAnswer: n**(-40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183 divided by 3.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(28) + 1 + -6*(sqrt(63) - sqrt(126)\/sqrt(2))\/sqrt(9) + -2 + 3*(sqrt(112) + 1) + -4)**2.\nAnswer: -28*sqrt(7) + 1373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 3*j - 4. Suppose 5*a + 3*f = 19, j*f + 0*f = 12. Suppose 0 = 2*y - 0*y - 10. What is the highest common factor of a and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-3 + (-2 + 1 + sqrt(1584) - 3*(sqrt(1584) + sqrt(1584) + -1)))**2 + -3 + 1.\nAnswer: 120*sqrt(11) + 39599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -121847426*t**2. Let k(q) = 2*q**2. Calculate k(n(u)).\nAnswer: 29693590445650952*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kckfppzphckkpck. What is prob of sequence hf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and -3.8?\nAnswer: 49.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7840 by 32.\nAnswer: -245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (28\/140)\/((-3)\/165)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 182228 is divided by 60734.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*u - 3*u - 2*u)*((0*u + u**3 + 0*u)*(1 - 6 + 4) + 8*u**3 + 2*u - 2*u) - 31*u**3 - 2*u**4 + 26*u**3 + 0*u**4.\nAnswer: 145*u**4 - 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 130*m + 812.\nAnswer: 2*(m + 7)*(m + 58)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u**2 - 36*u**2 + 36*u - 17*u**2 - 36*u as c + i*u**2 + j*u and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 1 + 2)*(v**2 + 1 - 1) - 4*v**2 + 126*v**2 + 20*v**2 to r*v + c*v**2 + x and give c.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 941443791 and 9483?\nAnswer: 9483","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/5)\/(x**(-6)\/x))\/(x**5*x*x*x*x\/((x\/x**(-2\/15))\/x)*x*x) assuming x is positive.\nAnswer: x**(-64\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 260 - 2269\/9. Find the common denominator of -89\/166 and n.\nAnswer: 1494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -553\/2*d**3 + 93519144481\/8 + 917427\/4*d**2 + 1\/8*d**4 - 169112377\/2*d = 0.\nAnswer: 553","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 93*u - 74*u - 5.\nAnswer: -167*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 26064685 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(98) + (sqrt(98) + -3*sqrt(98))*-5 - (sqrt(162) - (-3*sqrt(162) - sqrt(162))*-5)))**2.\nAnswer: 492032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.8 and 0.9157?\nAnswer: 0.8843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 13*q**2 + 10*q - 20. What is i(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*s**3*v**2 - 6*k*s*v**3 - 12*k*s*v - 8*k*v**2 - 11*s**3*v**3 + s**3*v**2 wrt v?\nAnswer: -36*k*s - 66*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-146)\/(-4) + (-2)\/4. Suppose 0*s - r = -2*s. Let d = -59 + 104. Calculate the highest common divisor of s and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*h**2 + 3*h**2 - h**2 + (8*h + 20*h - 8*h)*(5 + h - 5) to the form z*h + l + k*h**2 and give k.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10332\/79212 + ((-1446)\/(-23) - -2).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-4))\/(1\/12). Let k be (g\/(-6) + -1)*10. What is the second derivative of b - 5*b + 2*b**k + 6*b wrt b?\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 14 = -5*z, 0*v - z - 6 = -v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-2811)\/(-252)) + 2\/24.\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -94 - -85 - (-16)\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 554948191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-4) - 2808\/(-32). Let u be (-11)\/z + (-97)\/(-8). Differentiate 2 - 4 + u*l - 7*l + 5 wrt l.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirty-one halves of a day?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34 - (4 + 7) - (-1 - -6) - -3.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*c**3 + c**3 + c**3)*(-3*c**2 + 112061*c - 55346*c - 55948*c).\nAnswer: 9*c**5 - 2301*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 6:44 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (27 + 5 - 7)*(0*v - v + 2*v)*(2*v - 2*v - 3*v).\nAnswer: -75*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8915 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.04 + 1.96. Let r = -4.67 - -9.67. Let u be (-2)\/6 + 26\/6. Which is the second smallest value? (a) r (b) n (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 171.4 times 32\nAnswer: 5484.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 14. Let l = 18 - 10. Suppose 0 = -5*r + 68 - l. Calculate the greatest common divisor of x and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15055431161 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, -71, -213, -463, -851, -1407, -2161, -3143?\n\"Answer: -5*n**3 - 9*n**2 - 2*n + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 20\/12)*-3. Suppose -b*h + h = -3. Let u(i) = -i - 5*i - 7 + h*i. What is u(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 8*m + 110. Let y be 95*21\/105 + -34. What is d(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2. Let t = 1 + -2. Let i(u) = 1. Let r(o) = -o - 47. Let f(z) = 12. Let k(w) = 26*f(w) + 6*r(w). Let l(v) = t*k(v) + 30*i(v). Calculate c(l(y)).\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1\/(-1))\/(6\/(-168)). Let y = l + 14. Calculate the greatest common divisor of 105 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - 3 = -11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16951 + 16950.89. What is the smallest value in 7, z, -0.3, 5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4722 - 2653. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -16*g + 158. Let u(d) = -3*d + 29. Let m(w) = -6*q(w) + 33*u(w). Let r(i) = -2*i + 5. What is 4*m(o) - 7*r(o)?\nAnswer: 2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -12. Suppose -173 = -5*m - l, 0 = -2*m + 5*l + x + 41. Suppose -4*f + 5*f - 4*q = m, 0 = -4*f + q + 106. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/18)\/((-5218)\/(-1596708))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 76348339 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1135 - 3165?\nAnswer: -2030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 4*g - 3*g + 2)*(-2 + 2 + g).\nAnswer: g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*i**3 + 4*i**3 - 3*i**3 + (10*i - 12*i + 15*i)*(-1 + 5*i**2 + 0*i**2 + 5*i**2) to the form k + a*i + q*i**3 + s*i**2 and give q.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 359 and 17589205.\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -26, 1\/9, 4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9\/(-6) - -2098*9*(-2)\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-5))\/(2\/(-10)). Find the common denominator of 826\/(-49)*r\/(-4) and -69\/2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1652, 1663, 1674, 1685?\nAnswer: 1696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, z: 7}. Give prob of picking 1 y and 2 z.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 332 + 404 = -2*t. Let m be (-2)\/7 + t\/(-14). Put 2, m, -2 in decreasing order.\nAnswer: m, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4035.1, -5, -0.04, -14, -0.03, -4?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/65)\/4*5\/1.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 71*y + 4762. Let a be j(-67). Solve -5*w + 24*t = 19*t + 35, -a*w + t - 15 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72874702 is divided by 54?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*s + 134 = 51*s - m, 2*m = 5*s + 7*m - 155 for s.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*b + p + 70 = 0, -5*b - 3*p + 175 = 0. Suppose d - 53 + b = 0. Let g be (d - 12)*4\/3. What is the closest to 2 in 5, g, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oy when two letters picked without replacement from oyu?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 20 = -3*z, k = -4*z + 9 - 35. Let w(b) = -13*b - 36. Let j be w(-3). Let s(v) = -44*v**2 + v**j + 4 - 6*v - 8 + 49*v**2. Give s(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 times -0.242\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (10 - 18) + 16.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1388, 2898, 4434, 6008, 7632?\nAnswer: 9318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n = 10*n + 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/5 of a century?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*u**2 - 134*u**2 - 17*u**2.\nAnswer: -117*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -6362*3\nAnswer: -19086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 4*v**2 - 111*v + 901. What is z(10)?\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -101 (base 5) to base 12\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -43 + 30 + -27 + 78.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2\/9, 0.015, 4?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m + 0*m + 2*m + (0 - 1 + 2)*(-1 - m + 1) + (2*m + 3 - 3)*(1 + 5 - 2)*(2 + 2 - 7 + (1 + 1 - 3)*(-3 - 1 + 0)) to x + q*m and give q.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*x + 8*x + 4 + 0*x)*(0 - 2 + 4)*(-3 - 1 + 0) to the form n*x + b and give b.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1493833 divided by 139.\nAnswer: -10747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1684 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8024 and 35904?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2779 take away -5?\nAnswer: 2784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 16 = 3*d - 5, 4*z = d - 7. Let j = 20 + d. Let v = j - 27. Solve i - 2*i = v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13041 and 599347.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 127 = 6*r - 8*r, -15 = -5*k. Suppose 0 = -f - 23 - 39. Which is greater: r or f?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34720.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*n - 3*n + 7*n)*(0 - 5 + 3)*(-1 + 5 - 5).\nAnswer: 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7)*-2 + 0)*6 - 2*(-1*sqrt(28))\/sqrt(4))**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -38*r. Let y(o) = 8*o. Let j(t) = -23*t. Let g(c) = 6*j(c) + 17*y(c). Determine h(g(w)).\nAnswer: 76*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4391832 and 4391832?\nAnswer: 4391832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7636.94t to nanograms.\nAnswer: 7636940000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*v**2 - 5*v**2 - 2 + 6 - 4.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 320416253 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 - -22. Suppose -2*u = b*u - 105. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2a + 591812?\nAnswer: 591840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**5\/20 - 7*q**4\/12 - 4*q**3\/3 - 9*q**2\/2 + 2*q. Let f be r(-6). Suppose 47 = f*m - 31. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0, 12 in decreasing order.\nAnswer: 12, 6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -2*w + 805. Is 23 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 440133 or 441131?\nAnswer: 441131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -25\/4 (b) 1035 (c) 2\/3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -7554477?\nAnswer: 7554480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.1 - 22.1. Let n = 46 + -45.7. Which is the closest to k? (a) 0.05 (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 1. Let k(y) = 2*y + 1. Determine 4*h(f) - 3*k(f).\nAnswer: -2*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, 7, 29, 51, 67, 71?\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76779, -153695, -230611, -307527, -384443, -461359?\nAnswer: -538275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2237 - 2219. Which is the second smallest value? (a) -12 (b) 6\/7 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -110, -0.5, 1, 0.3, 258, 8, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -413 - -419. Calculate the highest common divisor of u and 474.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 20001*z**2 + 2*z + 1. Let q be i(-1). Suppose 3*m + 6 - 18 = 0. Suppose -2*g + m*g = q. Round g to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + 205b363?\nAnswer: 205b366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -309203\/4 or -77301?\nAnswer: -77301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18975 + -1 + (40\/(-13 + 8) - -6)?\nAnswer: 2, 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - g = 46, -r + 3*g - 33 = 3*r. Suppose -7 = -d - 13. Let f = d - r. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 6*w**2 - 2*w - 3. Suppose 5*x = 11 + 24. Suppose -5*k = 2*o + 20, 2*o + 5 = -k - x. Is a(k) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*h + 19. Suppose 3*u + q - h*q = 16, u - 4*q = 22. Let c be (-46)\/(-40) - (-2)\/(-5). Sort u, 2\/11, c in decreasing order.\nAnswer: u, c, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -42 - 96. Let k = -12 - m. Let v(o) = o**2. Calculate the remainder when k is divided by v(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2533691333 to the nearest integer?\nAnswer: 1363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*s - 4*s - 6*s + 71*s**2.\nAnswer: 71*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 13 + 5*d**4 - 2*d - 30 + 16 as b*d**3 + z*d + y*d**2 + j*d**4 + f and give j.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from poipmepmmiboppi. Give prob of sequence ob.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -44466.1721 rounded to the nearest one thousand?\nAnswer: -44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2100221010 - 12?\nAnswer: 2100220221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 + 0*y**2 - 5*y**2 - 113 + 142.\nAnswer: -2*y**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 + 0*b**2 - 64563 + 45773 + 18790.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 10. Let d(c) = c**3 + 6*c**2 + 3*c + 1. Let o be d(-5). Let k be p(o). Let b(i) = -3*i**2 - i**2 - 5 + 5*i**2 + k + i. Give b(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9771 or 9919?\nAnswer: 9919","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23*21992.\nAnswer: 505816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -8*c - 4. Let v be p(-3). Suppose 0 = -25*z + 210 + 40. Suppose 5*i + 5*m = z, 4*i = 7*m - 2*m + 35. Solve 2*r - 7*r + v = -i*b, b + r = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kwjw when four letters picked without replacement from {n: 8, w: 4, j: 2, k: 2}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 654 - -58702462930.\nAnswer: 58702463584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times -27.291\nAnswer: -8.1873","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - y**2 - y + 5. Let u be m(0). Solve u*c + 6 = 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and 343624604.\nAnswer: 687249208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6012 and 468?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 658 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172439.\nAnswer: 172439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519*h**2 - 6 + 82 + 77 - 29.\nAnswer: -519*h**2 + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143 - 73. Suppose 29 + w = 3*x. Let n(i) = i**2 + 3*i - 6. Let d be n(4). Calculate the greatest common factor of x and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -40\/3 in 1, -0.2, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/q**(-3))\/q*q*q**(-5)\/q)\/((q**(-1)*q)\/(q\/(q\/q**(-4))*q)) assuming q is positive.\nAnswer: q**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**5\/9 - 3552*f**4 - 4725922*f**3 - 14758057828*f**2\/9 + 9881281144*f\/3 - 1649246704 = 0?\nAnswer: -14558, -714, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5 - 9\/2. Let v = 181\/102 - 65\/51. What is the nearest to x in 1\/6, -5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 419030 or 419031?\nAnswer: 419030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f - 3. Let w be b(3). Suppose 5*g - 13 = w*a, 3*g = -5*a + 2*g - 3. Let p(c) = c - 1. Let l(r) = 6*r - 7. Give a*l(s) + 4*p(s).\nAnswer: -2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -20*u**2 + 5*u + u**3 - 24*u**2 + 46*u**2 - 2*u**3 - 6 = 0.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9\/136 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b. Let a(c) = 57*c**2 - 57*c. Let w(p) = 2*a(p) - 114*k(p). Let d(f) = -f. What is w(d(s))?\nAnswer: 114*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-25)\/225)\/((-9)\/162). Solve 57 = m*h + 53 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002048234337 to seven dps.\nAnswer: -0.0002048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/4)\/((-2)\/6). Let x = -24 - -26. Let f = -5 + x. Which is the second smallest value? (a) f (b) k (c) -5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 308923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 + 11*c**2 + 13*c - 7. Let n be r(12). Suppose 0 = -2*s + 28 + 60. Suppose 3*i = n*i - s. Does 22 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1021002 (base 3) to base 11.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 128 + 222. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -624, -2231, -5386, -10605?\nAnswer: -18404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102 + -11022001220010?\nAnswer: -11022001212201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12660 and 25?\nAnswer: 63300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 - ((-5 - -2) + -2))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 4. Let a = t + 0.00005. Round a to five decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -8*f**4 + 12*f**3 + 12*f**2 - 52*f. Let n(j) = 7*j**4 - 12*j**3 - 13*j**2 + 51*j. Let z = -579 + 582. Let x(g) = z*p(g) + 4*n(g). Factor x(b).\nAnswer: 4*b*(b - 3)*(b - 2)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.92 - -10. Let s = t + -0.18. Sort 5\/6, 0.2, s in increasing order.\nAnswer: s, 0.2, 5\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 1 - 21 = 0. List the prime factors of k\/((-308)\/(-288))*(-14)\/(-1).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20120011111 (base 3) to base 15\nAnswer: 28404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.08, -2, 33.5, 0.2, 2\/19, -5, 5\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -28*d + 23*d - 3*p, 2*d = -4*p - 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3887 in -52, -0.3, -1\/7?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4*(-1)\/16). Suppose 5*x - 7*x - 150 = -3*k, 0 = l*k + 5*x - 223. Is 13 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/((-2772)\/88))\/(-7 - (-2005)\/285).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -39*t + 11*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 847759337 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: Suppose 2*g + 6 = 5*y, -3*g + 1 = -5*y + 5. Solve 3*x + 8 = y*n + 3*n, 5*x + 9 = 4*n for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.43 times -0.08?\nAnswer: -0.1144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-9) - 43\/(-9). Suppose p = -t + 3. Let k be 16 + (-2)\/(-4)*t. Solve 0*o - k = 3*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k**2 + 225 + 286 + 17 - 7*k**2 + 5*k**2.\nAnswer: 2*k**2 + 528","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -4*i - 15. Let p(q) = 2*q + 7. What is -2*h(m) - 5*p(m)?\nAnswer: -2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40010 is divided by 29?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0766527 rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 12 = 4*u, -5*u + 6 = 17*o - 18*o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 y when two letters picked without replacement from {y: 1, z: 4, m: 1, r: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 23 + -14. Suppose c - 53 = -3*w - w, 3*c + j = 2*w. Solve -3 = 3*i - w for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 561*t - 35. Let q(d) = -281*d + 18. Let n(w) = -7*q(w) - 3*z(w). Is n(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2 + 6 + 3389*l**2 - 4 + 329*l - 8 + 123*l wrt l.\nAnswer: 6778","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 24550 + -24545. Let y be 2\/42 - (-6)\/21. What is the closest to -38 in 0.5, y, k?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2\/15 - 1\/15. Suppose -5*c + 4*c = 0. Let j = -1.047 - -0.547. Sort j, c, r in increasing order.\nAnswer: j, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.4 (b) 50 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*d - 4*y + 1784 = -42*d, 4*d - 3592 = -2*y. Is 18 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + t + t = 120, 0 = -3*q - 4*t - 68. Let m be (-4)\/(-6)*(-126)\/q. Let b(l) = 31*l**3 + 24*l**m - l**2 + l + 1 - 41*l**3 + 0. Determine b(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*x**4 + 2*x**4 - 4*x**4)*(11 - 4 + 8)*(3 - 3 - x)*(3 - 4 - 8) + x**5 - 4*x**5 + 2*x**5.\nAnswer: 269*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53 + 56. Let o be -4 + i - 1 - -29. Suppose o = 43*v - 42*v. Calculate the remainder when 79 is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5339500?\nAnswer: 2, 5, 59, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 159704157?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -127.\nAnswer: 63.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.76130416 to 3 dps.\nAnswer: -0.761","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 41 - 16. Let i be -1*5*18\/45. Let h be i\/((-36)\/16 - -2). Sort h, -2, j, 1.\nAnswer: j, -2, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (37\/(-296))\/((-2)\/(-40))*4\/10?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6\/55 + 28\/55. Suppose y = 5*i - 51, -5*i + 2*y = -0*y - 52. Let u = i + -16. Is v at most u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 141516.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 10:07 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11765 - -11296. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h = 3*z - 12, 256 - 216 = 10*z + 26*h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -22011122212220022?\nAnswer: 22011122212220101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -211 = -3*c + 4*r, 317 = c + 4*c + 2*r. Let h(b) = b**3 - 13*b**2 - 11*b - 20. Let v = 12 + 2. What is the remainder when c is divided by h(v)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(24)\/sqrt(4))\/sqrt(2) + 2) - (-4 + 1*sqrt(192) + -3)**2.\nAnswer: -249 + 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -40160, -160552, -361182, -642044, -1003132, -1444440, -1965962?\n\"Answer: m**3 - 40125*m**2 - 24*m - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/1441 less than 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 6*n**2 + 6*n - 5. Let g be d(-7). Suppose -113 = 5*c - 58. Put g, -1, c in decreasing order.\nAnswer: g, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {h: 2, j: 2, s: 3, p: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 240 - 37. Let p = -200 + h. Sort p, 5, 4 in increasing order.\nAnswer: p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2092381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*v - 6 = 0, -32*v + 31*v = 4*a - 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*n - 224*n**2 + 458*n**2 - 233*n**2 + 1)*(0*n**2 + 0*n**2 - 2*n**2) to p*n + m*n**4 + u + q*n**3 + w*n**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 862?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 4*p**3 - 2*p. Let q(y) be the first derivative of y**5\/5 + y**4\/4 - y**2\/2 - 8. Let h(n) = 2*q(n) - z(n). Factor h(g).\nAnswer: 2*g**3*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x - x**4 + 154 - 5*x**2 - 156 + 6*x**2 to the form m*x**3 + d*x**2 + k*x + p + a*x**4 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9 + (-2)\/(0 - -2). Let n = -805 + 957. Calculate the highest common factor of n and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*a - 21, 0 = 2*t - 7*t + 4*a + 61. Solve 0 = -c + 4*q + 8, -3*c - 4*q + 17 = -t*q for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*u**3 - 7586*u**2 + 207840*u = 0. What is u?\nAnswer: 0, 433\/14, 240","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**2 - 53*k**3 + 126*k**3 + 9 - 78*k**3 + (0 + 0 + 2*k**2)*(1 + k - 1) - k**3 + 4*k**3 - 4*k**3 - 2*k**3 + 0*k + 0*k.\nAnswer: -6*k**3 - k**2 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 6*h**2 - 12*h + 26. Let y be q(3). Let j = y - 28. Suppose -4*t = -20 + j. Calculate the smallest common multiple of t and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3972 and 10.\nAnswer: 19860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1650007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2727 a factor of 445811200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b - 6. Let f be -6*(-1191)\/108 + (-2)\/12. Let y = f + -71. What is z(y)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 20384 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 2*s + 12, 13*b - s - 4 = 14*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4564081.\nAnswer: 61, 74821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 - -113. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -7. Let a = 3\/2 - 5\/6. Is a greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - a)*(2 - 3 + 0) + (-3*a - a + a)*(0 + 3 - 1).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m. Suppose 15*t - 20*t + 20 = 0. Let l(d) be the second derivative of -1\/12*d**t - d + 0*d**2 + 0 + 0*d**3. Calculate u(l(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*19276.133.\nAnswer: 38552.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 178 (base 12) to base 2.\nAnswer: 11101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-8))\/(265*(-128)\/512)?\nAnswer: 3\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-10) + (-7656)\/(-40). Suppose -c = -2*c + q. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1896 times 0.1\nAnswer: -189.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7939?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/7)*n**5*n*n**(6\/11)*n**(2\/3)*n*n assuming n is positive.\nAnswer: n**(2194\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-832)\/(-1040))\/(24\/(-6)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*g = 123668, 202*g - 199*g + 989491 = 8*t. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524845488 a multiple of 5389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 104984 - -3?\nAnswer: 104987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 121, 238, 355?\n\"Answer: 117*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + q)*(8 - 3 - 1) - q + 5*q - q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(54)\/sqrt(3) - sqrt(18)) + -2*sqrt(1458) + sqrt(18))\/(sqrt(90)\/(sqrt(810)*1)).\nAnswer: -216*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.49 + -0.3. Let p = d - 2.19. Which is the nearest to p? (a) -0.02 (b) 5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6162 divided by 474.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 33, 15, -9, -39?\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j**4 + 368*j**2 - 6*j - 34159 wrt j.\nAnswer: -4*j**3 + 736*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13201023 - 113112?\nAnswer: -13320201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + -1. Solve 3*w + t = -7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6\/805 in 0, 0.01, -1\/4, -4, -0.3?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11, 5, 1, -1, -1, 1, 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 greater than 2\/208925?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 4534 = -1697 - 853. What is the smallest common multiple of 3220 and m?\nAnswer: 3220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-6)*v*v*v**(3\/10)*(v**3\/v)**(5\/2))**(2\/47))**(-2\/5) assuming v is positive.\nAnswer: v**(-26\/1175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 2 (c) 4 (d) 9\/98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 174010 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: What is 108190430 to the power of 1\/3, to the nearest integer?\nAnswer: 477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 38, 64, 56, -28, -230?\n\"Answer: -7*d**3 + 25*d**2 + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5*h = 3*n + 2*h - 93, -36*n - 2*h = -6*h - 488 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 70, 77, 82, 79, 62?\n\"Answer: -t**3 + 5*t**2 - t + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -161*s + 2. Let g(m) = 375*m. What is g(l(n))?\nAnswer: -60375*n + 750","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1270 (b) -8 (c) -296\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 AM and 10:46 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7915*l + 1062048 = -6437*l for l.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 74*g**2 + 152*g - 806. What is a(72)?\nAnswer: -230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 - r - 6 - 2*r + 2*r - 5*r. Let h = -10 + 15. Let p be f(h). What is the highest common factor of p and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68 - -95. Let c(v) = -2*v + 45. What is the remainder when o is divided by c(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 10:02 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11055776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2099133\/88 - -23853. Find the common denominator of -50\/77 and k.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*s - 5*s + 7*s)*(3*s - 3*s + s) + (11*s + 130 - 130)*(-3*s - 4*s - 3*s).\nAnswer: -103*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -240*b - 14672. Give d(-61).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-74)\/6 - 2\/3. Let m = 17 + p. Suppose 0 = m*g - 1 - 19. Solve 4*y = g*t + 20, 3*y - 4 = t + y for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.005 + -33.995. Let u = t - -29. Which is the third biggest value? (a) 14 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -28.4765 - -0.0691?\nAnswer: -28.4074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/14828632 and 103\/7414316?\nAnswer: 14828632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*o = -2*o + 230 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 47 - 93. Let a be (2\/(-4))\/(-6 - t\/8). Factor -1\/5*q**a + 4\/5*q - 3\/5.\nAnswer: -(q - 3)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5758 - 5757. Suppose 1 = 3*x - 2. What is the highest common factor of z and x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -133\/2400 and 53\/708720?\nAnswer: 7087200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 19\/5 (b) -3.7 (c) -2\/9 (d) -1\/17 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 498666 or 498669?\nAnswer: 498666","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s = 3*c - 5*s - 4, -5*c + 12 = 3*s. Suppose c - 188 = -37*v. Solve 0 = v*w + 3*a + 15, 6 + 9 = -5*w + 5*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 164 a factor of 1340082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 584596 - 593537.152. Let m = n - -8981. Let w = 40 - m. Round w to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 551074.9 years?\nAnswer: 55107.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*t = -8, -t - 3 - 1 = -3*x. Suppose -v - x*o = -7*o - 84, 4*o = 5*v - 336. Is 16 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 + 172\/(5 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9079936 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12*b**4*s + 20*b**3*s - b**3 + 1239*b**2*s + 2*b*s + 10*s wrt b.\nAnswer: -288*b*s + 120*s - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and -495.64.\nAnswer: -2973.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 677*k - 97*k + 588*k + 657*k + 3*k**2 - 76*k in the form n + m*k + i*k**2 and give m.\nAnswer: 1749","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3118 or -78040?\nAnswer: -78040","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 19390 and 155120.\nAnswer: 155120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 45164 and 38318?\nAnswer: 123613868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 2, 4296?\nAnswer: 4296","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.331014 rounded to two dps?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2030, 4780, 7516, 10232, 12922?\nAnswer: 15580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 92 divide 1257052002?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -36 + 33 + 1 + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15006566.\nAnswer: 2, 83, 90401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/391 > -4.563?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 5*u + 21444 = -u, 5*p - 5*u - 26785 = 0. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -143805695 or -143805693?\nAnswer: -143805693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(5*y**5 - 3*y**5 - y**5) - 2*y**5 - 6*y + 9*y**5 + 7*y.\nAnswer: 5*y**5 + y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -40622 divided by -2\nAnswer: 20311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -342 - -354. Let l(m) = -m. Let a be l(6). Let j = a + 12. Calculate the least common multiple of q and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.0788 + -0.0788. What is the third smallest value in k, -1\/6, -1.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -58454, -233390, -524804, -932690, -1457042, -2097854, -2855120, -3728834?\n\"Answer: q**3 - 58245*q**2 - 208*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/2376 and -73\/3456.\nAnswer: 38016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 451506 to the nearest integer?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -328096 at least -328096?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3008*m - 16016*m + 336122 = -834598 for m.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 608*r = -2238 + 10750 for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -38, -55, -84, -131, -202, -303, -440?\n\"Answer: -u**3 - 10*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 * 0.2269.\nAnswer: 0.13614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 209? (a) 2\/9 (b) -1 (c) -59 (d) -4 (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003442477 to 6 dps.\nAnswer: -0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69518987.\nAnswer: 53, 463, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 19214, 22016, 24816, 27614, 30410, 33204?\n\"Answer: -y**2 + 2805*y + 16410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -1, 61.4.\nAnswer: -1, 32, 61.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 229 - 229 - 42*g**3.\nAnswer: -42*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 1833*d**2 - d. Let b be w(2). What is b rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17227, 3, 0, -2 in decreasing order.\nAnswer: 3, 0, -2, -17227","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*h**2 + 66*h + 13 + h**3 - h**4 - 14 + h**2 - 7*h**2 as g*h**3 + j*h + v*h**2 + y*h**4 + f and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -937, -3533, -7803, -13747, -21365, -30657?\n\"Answer: -837*s**2 - 85*s - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*y + 0*y - 2*y)*(-8 + 8 + 4*y) - 2*y**2 + 0*y**2 + 0*y**2 + (2 + y - 2)*(-4 - 2*y + 4) + 0*y**2 - 6*y**2 - 2*y**2.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7812 (base 16) to base 2\nAnswer: -111100000010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7\/3, 1, 4, 0.112, 0.4?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 5*m + 11, -2*m + 30 = 32 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.199 and 1643.\nAnswer: 326.957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 2*d + 1. Let k be p(3). Suppose -4 = -4*i + 16. Factor -q**2 + 2*q**3 - 3*q**k - i*q**4 + 3*q**3 + 5*q**4 - q.\nAnswer: -q*(q - 1)**2*(3*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.477.\nAnswer: -2.385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(2299) + 0 + sqrt(1216).\nAnswer: -14*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -530 + 983. Let v = z - 218. Let i = v - 234.9999444. What is i rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 172801\/20 - 8642. Let v(d) = -d**3 - 2*d**2 + 4*d + 1. Let c be v(-3). What is the common denominator of (-249)\/60 + c\/10 and b?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 654069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 2*x - 9 = 0. What is the greatest common divisor of x and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -39.059. Let d = -616 - -615.641. Let s = z - d. Which is the closest to -1? (a) 3 (b) -0.4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130 = 5*m - m + 3*t, -3*m - 5*t + 103 = 0. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2.2 in -53, -2\/7, 0.1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 3*g + 4*q = -9, 4*q + 6 = 2*g. Which is the closest to 1? (a) g (b) 0 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80336 * -3\nAnswer: -241008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -293\/1278 - -1\/142. Let w = 32898\/47 + -700. What is the second smallest value in w, z, 1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -4*s - 2. Let i(z) = z**2 - 10*z - 12. Let b be i(11). Let t be l(b). Is -14 greater than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-669604\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - 11 = 2*p, 3*p = 5*p + 10 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -1, -4019, 4 in increasing order.\nAnswer: -4019, -1, 1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3347.414 less than -62?\nAnswer: 3285.414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s**4 - 2*s**4 + 2*s**4)*(-282 - 732 - 443 - 56 + 100).\nAnswer: -1413*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-6)\/3*70*23\/460?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 114 + 59 - 5*v - 37 + 0 wrt v.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -61510, -60858, -60206?\n\"Answer: 652*t - 62162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4546196264?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 342 and (4\/3)\/(67\/201)?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6*80\/(-288))\/(31\/(-62))\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -22. Let w = n + -15.7. Sort w, -2\/9, 4.\nAnswer: -2\/9, w, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, e: 5, p: 1, j: 1, z: 7}. What is prob of sequence pzej?\nAnswer: 35\/93024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 15 = -2*r. Let s be -4 + 2\/3 + r. Which is the third smallest value? (a) -2\/13 (b) s (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -12. Let i(c) = -v*c**2 - 4*c**3 - c + 5*c**3 + 3 - 5*c. Is i(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 234*b - 3790. Calculate i(20).\nAnswer: 890","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (31 + -29 - (-2 + 1)) + (-1 - -4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 77006?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1928612 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -1340133054?\nAnswer: 1340133055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24.9 - -25. Let h = -60 - -59.36. Let a = 1.04 + h. What is the nearest to x in 3, a, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**5 + z**2 - 4*z**5 - 6*z**2 wrt z?\nAnswer: -180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -47460, -189893, -427282, -759627, -1186928?\n\"Answer: -47478*z**2 + z + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (6 + -5)) + (-45 - 27).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -948 - -838. Let n be 117 + b + 4\/(0 - 1). Determine d, given that 2\/7*d**n + 0 + 2\/7*d - 4\/7*d**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -22, 2\/9, -0.1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*l**2 + 85*l**2 - 231*l**2 - 125*l**2.\nAnswer: -316*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 40 - 44. Let w(o) = -5*o - 2. Calculate w(r).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1834*-89.9\nAnswer: 164876.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 261\/(-1218)*35\/45. Let s = -1597\/2 + 823. Let w = 24 - s. What is the nearest to w in 4\/7, 4\/3, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 20017?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94*r**2 + 42*r + 3 - 60*r**4 + 0 + 69*r**4 wrt r?\nAnswer: 108*r**2 - 188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**4 + 108*w**2 - 200*w + 96.\nAnswer: -4*(w - 4)*(w - 1)**2*(w + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1 - 380?\nAnswer: -381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 136 - 53 = 4*m, -3*m + 12 = 0. Calculate the remainder when g is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -90*s - 53\/3*s**3 - 39 + 0*s**2. What is the derivative of j(f) wrt f?\nAnswer: -106*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-8 - -12)\/(-1 + -1). Let f be 26\/(-39)*(-393)\/n. Round f to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14759981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.010155 to 4 dps.\nAnswer: 0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 149619600, 149619599, 149619598, 149619597, 149619596?\n\"Answer: -a + 149619601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115475413.\nAnswer: 7937, 14549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 3844 and -113 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 66165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -376353\/5 or -75272?\nAnswer: -75272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70548, 70554, 70560, 70566?\nAnswer: 70572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1050.4856 * -3.6\nAnswer: 3781.74816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 2 + 2)*(-6 + 2 + 1)*(1 - 3 - 1)*(k**3 + 2*k**3 - 4*k**3).\nAnswer: -9*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 w when two letters picked without replacement from {n: 1, t: 5, c: 3, w: 1, d: 2, r: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**4\/23 - 1848*o**3\/23 - 29976*o**2\/23 - 97664*o\/23 - 90240\/23 = 0.\nAnswer: -12, -2, 940","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-5 + 4*((sqrt(143) - (sqrt(143) + 2*sqrt(143)))*1*-3)\/((sqrt(11) + (sqrt(11) - -1*sqrt(99) - sqrt(11)))*-6))**2.\nAnswer: 10*sqrt(13) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1090092668 divided by -15001\nAnswer: 72668","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1323*a + 4 - 1877*a - 113*a.\nAnswer: -3313*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4751157, -4751168, -4751187, -4751214, -4751249, -4751292, -4751343?\nAnswer: -4751402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 5aed?\nAnswer: 5aea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1843579, -3687182, -5530785?\nAnswer: -7374388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100111 (base 2) in base 10?\nAnswer: -231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219 is divided by (198\/54)\/((-3)\/(-45))?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwvvw. What is prob of picking 2 v and 2 w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 400421 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = -2*h + 4, -4*m + 4*h = -5*m + 18. Let y(j) = 44*j**2 + 45*j**2 - 88*j**m. Let v(b) = -3*b**2. Give -4*v(k) - 7*y(k).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence roj when three letters picked without replacement from {j: 1, r: 2, e: 1, o: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 t when three letters picked without replacement from {m: 3, l: 1, t: 3, w: 1, a: 2}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -5*m, m + 5*x + 19 = -2*m. Solve -3*o + 3*p - 7 - m = 0, -4*o - 18 = 2*p for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*f + 24 = 0, 0*r + 4*r - 72 = -2*f. Let k = r + -15. Suppose -o - 4*x + 7*x = 2, 4*x - 33 = -3*o. What is the lowest common multiple of o and k?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28533 is divided by 28206?\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of -f**5\/15 + 54*f**2 + 2*f. Let y(g) = -19*g. Calculate y(b(u)).\nAnswer: 76*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 0.4, 30, -2, 73, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 592 or 7700\/13?\nAnswer: 592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 794?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + 7)\/((-2)\/(-4)). Let a = -70 + g. What is the units digit of a\/(-12) - (-2)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11121 - -111?\nAnswer: 11232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -i + 14. Let l(d) = d**2 - 6*d - 5. Let g be l(i). Suppose -5*j + 601 = 2*h, 0 = -j + g*j + 4*h - 113. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -316*o**3 - 333*o**2 wrt o.\nAnswer: -1896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (6 + 5 + -7 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(9)\/((sqrt(12)\/sqrt(2))\/sqrt(2)) - (sqrt(48) + -5 - (sqrt(9) - sqrt(9)*-3)\/sqrt(3)).\nAnswer: -5*sqrt(3) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.022 - 2.098. Let z = 2 + g. Round z to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1654 a factor of 796562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 3*g = 4*u - 24, 4*g = 5*u - 36. Let k = -0.12 + -0.18. What is the nearest to 1 in u, 5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f + 2*f + f**2 + 4 - 5*f + (-14*f + 5*f - 14*f)*(f - 2 + 2).\nAnswer: -22*f**2 - f + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2268)*-6)**2 - (-5*(sqrt(448) + -4 - sqrt(448)) + sqrt(448))**2.\nAnswer: -320*sqrt(7) + 80800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -7. Let l be h\/(-9)*-1*12. Let i = 95 + -63. Calculate the highest common factor of i and l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*g + 92*g + 84*g - 363*g + 64*g + 77*g.\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*t**2 - t**3 - 37 - 3*t + 0*t**2 - 46 + t + 6 to z + s*t**3 + b*t**2 + y*t and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72972, 72992, 72988, 72960, 72908?\nAnswer: 72832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.82218 rounded to 2 dps?\nAnswer: 6.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = 2*w - 15, 0 = 57*o - 63*o - 2*w + 60 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -1039?\nAnswer: 3\/1039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 - 602*t - 5748. What is a(-190)?\nAnswer: 332","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - 0. Let o(p) be the first derivative of -p**5\/20 + p**4\/24 - 20*p**3\/3 + 6. Let a(z) be the third derivative of o(z). Determine a(f).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2\/23)*w*w**(1\/33)\/w)\/(w*w**(-5)*w)**(1\/85) assuming w is positive.\nAnswer: w**(-1378\/64515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1491 at least -1477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s**2 - 15*s + 14. Let t(n) = -n**2 - 10*n + 9. Give -5*c(x) + 8*t(x).\nAnswer: 2*x**2 - 5*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 65 divide 194790?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.124833294 - -0.12485. What is c rounded to seven decimal places?\nAnswer: 0.0000167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 16. Let g be p(-19). Solve f - 8 = g*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -16*y**2 - 127*y + 408. Give d(-10).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of -2*j + 0 + 1\/63*j**7 - 7\/180*j**6 + 0*j**3 + 5*j**2 - 1\/504*j**8 + 0*j**4 + 1\/30*j**5. Factor z(c).\nAnswer: -2*c**2*(c - 3)*(c - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13345397 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 77446452*s**3 - 13344*s**2 + 2915 wrt s?\nAnswer: 464678712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 AM and 10:29 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 50952 divided by -8\nAnswer: -6369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence es when two letters picked without replacement from leslzkksskzzzzkekzk.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -r, -5 = -4*d - d - 5*r. Suppose 85 + 293 = 42*c. Solve -i - 3*p - c = i, d = 3*i - 2*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7617 + -7612. Solve 0 = z + 2*z + 5*m + 29, -5*z - 35 = t*m for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5081 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 - 2252*f**2 + 131537*f - 1027. What is t(60)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i*i\/((i\/i**(-17\/4)*i)\/i))\/i)*i)\/i*i**33)**(-5\/8))**37 assuming i is positive.\nAnswer: i**(-28305\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 70.5 + -1.5. Let r = -72 + h. Suppose 4*q + 8 = 7*q + 2*i, 0 = 2*q - 2*i - 2. Which is the third smallest value? (a) r (b) 4 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - 3*o. Let k(l) = -l**3 - l + 1. Let a(q) = 21*q**3 + 13*q + 4. Let z(d) = -a(d) + 5*k(d). Let c(x) = 6*v(x) - z(x). Give c(-1).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/4 - 125\/100)*1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -3*i**2 - 4 - 1\/6*i**4 - 1\/6*i**3 + 0*i. Let y(w) be the second derivative of g(w). Differentiate y(k) wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - y + 57 = 0, -4*x = -3*x - 2*y + 6. Let n be -31*4\/(-30) - x\/(-90). Suppose -n*a = -5*a + 147. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50404, 100781, 151118, 201415, 251672, 301889?\nAnswer: 352066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274554 rounded to the nearest ten thousand?\nAnswer: 1270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4617 - -4619. Solve l*f = 5*s - 2*s + 7, 5*s = -f - 16 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2443 + -2.3557. Which is the closest to -0.1? (a) 0.1 (b) -2\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -5 (c) 0.0413 (d) -0.3 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - -8. Suppose -p*i = -7*i - 3, 0 = -5*l + 4*i + 71. Calculate the remainder when 37 is divided by (-18)\/(-15)*25\/l*5.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 2*c + 2*a + 68, 2*a = 5*c - 116. Suppose 2*k = -10*k - c. Let w = 0.2 + -0.3. Sort -3, 2\/5, k, w in decreasing order.\nAnswer: 2\/5, w, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, -3, 5 in decreasing order.\nAnswer: 5, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) 1\/4 (b) -1\/5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.76 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1913 or -1916?\nAnswer: -1916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/20, -6592.1, 4, 2\/13 in decreasing order.\nAnswer: 4, 2\/13, -1\/20, -6592.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -19. Let n(k) = k**2 + 0*k**2 - 4*k**2 + g*k**2 - 6*k - 3. Calculate n(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 4\/19, 1\/7, -44\/43?\nAnswer: -44\/43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - -2) + 0 + -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 4*m**2 - 3*m**2 + (2*m - 3*m - m)*(-2*m - 2*m + 3*m) + 539*m + 6 - 537*m - 5 + 83*m**2.\nAnswer: 87*m**2 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 8, -47 in descending order.\nAnswer: 8, -8, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1761.8+0.31\nAnswer: 1762.11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1789, -1787, -1785, -1783, -1781?\nAnswer: -1779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of 17*t**6\/40 - t**5\/60 - 119*t**4\/8 + 213*t**2. Find the second derivative of i(g) wrt g.\nAnswer: 306*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**5 + 3*u**5 - u**5)*((-4 + 1 + 0)*(111 - 17 + 2) - 3 + 3 + 2 + (-1 + 1 + 1)*(-2 + 4 - 4) - 3 + 3 + 2).\nAnswer: -286*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12067 + 12066. Put 4\/45, z, 2, 1\/11 in ascending order.\nAnswer: z, 4\/45, 1\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2368750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67775 + 47255?\nAnswer: 137252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 306*x**3 + 3*x - 2. Let b = 5 + -4. Is a(b) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a - 12 = -2*g, a + 19*g - 16*g + 10 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-16)*(-8)\/(-190).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10007 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7)\/14*(-20)\/2. Suppose 9 = 2*f + 1. Suppose -x = -2*g - 16, -z*x + x = f*g - 100. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -3*c - 16, 3*r - 5 = 5*c + 4*r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r. Let w(k) = -32*k + 23. Let i be w(-17). Let f(x) = 569*x - 13 - i*x + 40. Let z be f(-14). Let v(j) = -6*j - 2. Determine z*v(q) - 4*b(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -536 by 122.\nAnswer: -268\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106718 * -157.\nAnswer: -16754726","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/266)\/(48\/25992*-171).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j and 1 u when four letters picked without replacement from {u: 3, q: 5, j: 3}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*f - 3 = 0. Let s = f - -5. Is (-2)\/4*s + 17 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p + p - 4*p)*(5*p**2 + 1940 + 2*p - 1940) - 2*p**2 + 2*p**2 + 3*p**3 - p**3 - 2 + 2 in the form m*p + i + t*p**2 + v*p**3 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7078 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 141389.2 minutes in seconds?\nAnswer: 8483352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(77) + sqrt(77) - sqrt(77))*-2 + sqrt(77))\/(6*sqrt(176)).\nAnswer: -sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 587513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1932 and 81228.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q**2 + 5*q - 9. Let s(w) = 30*w - 792. Let j be s(26). Determine n(j).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11460190 is divided by 48.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14 + 4d5?\nAnswer: 4c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.89565 rounded to one decimal place?\nAnswer: 52.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-90)*(-30)\/(-6)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 2. Let j be b(-2). Suppose 2*v + j*v = 6. Suppose -v = o - 5, 3*q = o + 22. Calculate the least common multiple of 20 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2511\/44 + 229\/4. Which is the biggest value? (a) k (b) 1\/4 (c) -6 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 141596835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8275, -16548, -24821?\nAnswer: -33094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-6\/11)\/q)**27*q*q\/q**(-4)*q*q**(-14)*q)**(-2\/17) assuming q is positive.\nAnswer: q**(-138\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 81*b + 33. Let h(k) = -11*k - 44. Let r(u) = -10*u - 37. Let x(s) = -5*h(s) + 6*r(s). Calculate -6*l(q) - 99*x(q).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-219*h - 186*h + 5*h)*(14*h + 13*h**3 - 14*h + 2*h**3).\nAnswer: -6000*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1205 + -4504?\nAnswer: -6012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*i*j**3*m - 3*i*j**3 + 18*i*j**2*m - i*j - 2*m**2 wrt m.\nAnswer: 2*i*j**3 + 18*i*j**2 - 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -165, -149, -115, -57, 31?\nAnswer: 155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -33a1a13 (base 11) to base 12\nAnswer: -1ba9529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*x - 2*x - 45. Solve -3*d + 12 = 0, 2*d = -a + 2*a + x for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4845 - -6696. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 160 and 64?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*c = -4*c + 3170. Let w = 505 + c. Does 23 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 5*f - 6 - 14 = 0, 8 = 4*f. Let s(z) = -z**3 + 2. Let j(i) = 2*i**3 - i**2 - 3. Let y(k) = 6*j(k) + 13*s(k). Give y(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -35. Suppose 0 = 2*o - 15 - r. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 36 = 2*a - 4*c, -2*a + 2*c + 2 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2. Let g(c) = -85*c - 6. Let b(i) = i**2 - 15*i - 19. Let k be b(16). Let x(o) = -8756*o - 616. Let y(a) = k*x(a) + 308*g(a). Give s(y(v)).\nAnswer: 15488*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -1262 and 1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2))**(-30)*b**(-6\/7)\/(b\/b**(-1)) assuming b is positive.\nAnswer: b**(85\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 4*y + 175. Let z = 37 - y. What is the highest common divisor of 14 and z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**3 - 2*g**3 - g**3)*(2 + 3 + 5)*(1 - 5 + 3).\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 134 divide 49615108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.5 + -0.7. Let k = -0.2 - 2.6. Let t = h + k. Which is the nearest to -0.1? (a) 0 (b) -0.1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 6*f - 10*f - 948, -4*f = -3*y + 1410. Calculate the remainder when 963 is divided by y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 6*a**3 + a**2 + 2*a - 3. Let u(t) = -11*t**3 - t**2 - 3*t + 5. Let s(f) = -5*p(f) - 3*u(f). Let b be s(-1). Put 4, -3, b in increasing order.\nAnswer: b, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324621 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**2 - 6*x + 18. Let g be (8\/20 + -2)*5. Let k be t(g). Find the second derivative of -5*u**2 + 28*u + k*u**2 - 32*u wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -90, -82, -56, -6?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 693*j - 692*j + 6*k - 40 = 0, 2*j + 18 = 2*k for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 100795?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 4, -315410 in ascending order.\nAnswer: -315410, -19, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6914596 is divided by 281.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at least 3370\/623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 15\/(-2)*(-8)\/(-60)*5. Let a be g\/28 - (-18)\/(-72). Is a at least as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + n. Let m(c) = 15*c**2 + 2*c + 2. What is m(f) - 2*z(f)?\nAnswer: 13*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*l - v + 60 = 0, -151084*l + 151079*l = -3*v - 16 + 6 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d**4 - 875*d**3 + 1452*d**2 - 580*d = 0. What is d?\nAnswer: 0, 2\/3, 1, 290","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101064267?\nAnswer: 3, 547, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z - 12. Determine n(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 8*q**2 + 14*q - 140. Let r be b(5). Let s(d) = -3*d**2 + 13*d + 5. Give s(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 3 + 1 + 5*b + 5*b**2.\nAnswer: 5*b**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 683*x**2 - x. Let u(n) = 21854*n. Calculate u(o(a)).\nAnswer: 14926282*a**2 - 21854*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -219067*-0.4\nAnswer: 87626.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 71299937, 71299934, 71299929, 71299922, 71299913, 71299902?\n\"Answer: -q**2 + 71299938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -3 - (63 - 60).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32494 is divided by 32466.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 684 divided by -2\nAnswer: -342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.27 + 0.512.\nAnswer: 0.242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1318 = -3*i - 2*q - 2*q, -q - 1753 = 4*i. Let h be 1 + ((-6)\/(-27) - i\/(-27)). Let a = h + -5. What is a rounded to zero decimal places?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(-2*sqrt(1862) + sqrt(1862)) + 2*sqrt(1862)*-6)\/((sqrt(72) + sqrt(72)*4)*-2*1))**2.\nAnswer: 8379\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 737?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -83*l + 5. Let f be j(-5). Suppose -9*a + 16*a = f. Let t = -128 - -158. What is the greatest common factor of t and a?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2\/4 + 1506453*q\/4 + 376614.\nAnswer: -3*(q - 502152)*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 211952*p - p**2 - 175 - 105995*p - 105999*p - 99. Give u(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9575 - -840?\nAnswer: a305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16951493*m**2*v - 2*m*v - 2*m - 41*v - 394 wrt m.\nAnswer: 33902986*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8\/37 (b) -1\/4 (c) 0 (d) 1627\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v - 34 - 3*v + 19 + 15.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(972) + sqrt(972)*-1 - sqrt(972))\/(1*sqrt(9)*6) - (4 + ((sqrt(432) + 1)**2 - sqrt(18)\/(sqrt(18)\/sqrt(3)))).\nAnswer: -437 - 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 2.1. Put -0.3, i, 0.3 in descending order.\nAnswer: 0.3, -0.3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 4*s. Let t(d) = 2*d**2 + 1003. Calculate t(i(k)).\nAnswer: 32*k**2 + 1003","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that g**5\/2 - 3*g**4 + 9*g**3\/2 + 2*g**2 - 6*g = 0.\nAnswer: -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3.1, 10, -6 in ascending order.\nAnswer: -6, 3.1, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -18*b - 6. Is 16 a factor of r(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13543, -13527, -13511, -13495, -13479, -13463?\nAnswer: -13447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g - 4*q - 9, -1 = 4*g - q - 6. What is the units digit of ((-18)\/(2 - g))\/(4\/(-30))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*2*11\/(-264)\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 AM and 8:42 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -110 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggigigggggiggg. What is prob of picking 2 g and 1 i?\nAnswer: 117\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(-2*sqrt(168) + sqrt(168)))\/(-1*-2*sqrt(7)))\/((sqrt(8) - sqrt(56)\/sqrt(7)*5 - sqrt(8)) + -3*sqrt(72)).\nAnswer: -3*sqrt(3)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14699 + -14679. Solve 38*b - 4 = -c + 41*b, -5*c = b - k for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*j - 27 = 0, -2*s + j - 3*j = -16. Suppose -5*y = -5*a - 160, s*y = 5*a + 71 + 19. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*x = 8, -x = -d + 4 - 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 172 + 6?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5*b = 20, -2*b - 16 = -0*d - 2*d. Suppose 3*o - o = -40. Is o\/d*(-144)\/15 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2. Let v(n) be the third derivative of -n**5\/20 + 4*n**2. What is v(c(f))?\nAnswer: -12*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -940. Let o = f - -479. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = -3*p - 2*k - 3, -k - 139 = -3*p. What are the prime factors of p?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (102*1)\/(13\/(-182)*7). Calculate the remainder when (p\/9)\/((-8)\/36) is divided by 32.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49261 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1539 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -128\/59 - 5839\/708. Calculate the common denominator of k and -41\/28.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -513.46493376934\nAnswer: 513.76493376934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/2*2 + -1489*2955. Round r to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 36 (b) 1 (c) -3250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 444264.1 litres?\nAnswer: 444264100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1612 times -68.857\nAnswer: 110997.484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2359, -7587, -12815, -18043, -23271, -28499?\nAnswer: -33727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18766.\nAnswer: 2, 11, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 170 and 21675?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-6 + (2 - -2))) + (3 - (-3 - -26))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -28*q**4*x**2 + 125*q**2*x**2 - 457*q*x**2 + 20*q wrt q.\nAnswer: -336*q**2*x**2 + 250*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1320, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2*x**3 - 24*x**2 - 3*x - 29. What is d(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 + 2)*(-45*d + 93 - 93).\nAnswer: -45*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1208619*h**4 - 102221*h - 6?\nAnswer: -14503428*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11553 (base 7) to base 4.\nAnswer: -233103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*q - 2*g - 7, 5*q = 4*g - 1. Suppose 59 = 5*u + 4*k, q*u + k - 41 = -0. What is the greatest common divisor of u and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6953 divide 1326548964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 812444 is divided by 203107?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 15*a**3 - 63*a**2 + 90*a - 4. Let j(g) = -7*g**3 + 29*g**2 - 45*g + 2. Calculate -13*j(v) - 6*r(v).\nAnswer: v**3 + v**2 + 45*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 2*q - 384 = -400, -4*r - 28 = q for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 16) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -33826.1029871 and 0.04?\nAnswer: 33826.1429871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 622753944259 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 238*u - 2420 + 1944. Factor u*a - 10\/3*a**2 + 4\/3.\nAnswer: -2*(a - 1)*(5*a + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 438075 divided by 5841\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*j + 921 - 256 = 0, -2*j = -5*b + 700. What is the lowest common multiple of b and 9?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/12*-5*(-4)\/10. Which is the biggest value? (a) 0.2 (b) -1\/5 (c) q (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/16)\/((-1)\/12)*2\/(-66)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 4:22 AM?\nAnswer: 11:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.19211 nanoseconds to milliseconds.\nAnswer: 0.00002719211","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98778154 and 549.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 44*k**2 + 7*k + 12. Suppose 3*y + 3*w = 9, -4*y - 2*w + 16 = -2. Let d be (2\/(-3) + 2)\/((-4)\/y). List the prime factors of s(d).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/11, 40, -3865?\nAnswer: -3865","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**5\/12 - y**2. Let u(r) = -76*r - 1. Let z(d) = d**2 + 456*d + 6. Let k(h) = 6*u(h) + z(h). Determine t(k(m)).\nAnswer: 5*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 474, 476, 478, 480, 482, 484?\nAnswer: 486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, y: 2, g: 4, w: 1}. Give prob of sequence yyw.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33831?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u. Let o(g) = 852260*g + 1. Calculate o(j(c)).\nAnswer: 1704520*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 244 + 68. Let b = 307\/7 - i. Let x(p) = -p. Let o be x(0). Is o less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i + 1 + i)*(1034 + 56 + 90 + 381).\nAnswer: 3122*i + 1561","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7710 and 34695?\nAnswer: 69390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from nwnwnwt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**3\/7 - 2*x\/7 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/(-6)*(-8268)\/(-418912)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2*(15 + -12) - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 67, 274, 621, 1108?\nAnswer: 1735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-78)\/52)\/(3\/(-2)*(-8)\/3).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -288491000 to the nearest one million.\nAnswer: -288000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivs when three letters picked without replacement from vesivs?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -40 - -82. Suppose 0 = -11*a + 24*a - 117. Calculate the remainder when h is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 882 and 25263714.\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*p - 2*p - 50. Let z be p\/10 + (-1)\/2. Let a be ((z - -2)\/(-1))\/(-1). Let o(w) = -w**2 - w - 1. What is o(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -152*g*m**3*n**3 - 7*g*m**2 + 17*g*m + g*n**3 + 4184*m**3*n**3 - 9*m**2*n**3 - 230*m*n**3 wrt m.\nAnswer: -912*g*n**3 + 25104*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 2776?\nAnswer: 2776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 218 = -3*s + 5*s. Suppose -3*d - x = -s, 2*x - 163 = -5*d + 5*x. What is the remainder when d is divided by 10\/((-2)\/(-2)) + 2?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 280886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 AM and 7:01 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 536 * 1.4.\nAnswer: 750.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 4:53 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1332 and 2.3.\nAnswer: 3063.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p**4 + 1 + 2 - 16*p**3 - 8*p**3 - 16*p**3 + 6*p + 34*p**3 = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o**3 + 23*o**2 + 9*o - 6. Let a be c(6). What is the highest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g - 2 + g**3 + g - 4*g + 8*g**2. Let o be t(-8). Suppose -2*k + 0*k + o = 0. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -103159\/4 - -25790. Let s be (-1 - 0)\/(-2 + 1). Which is the second biggest value? (a) s (b) -5 (c) p (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*o - 533 = 0, -6*o + 2*o = 2*p + 536. Let z = p + 485. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j + 13 + 5653*j**2 - 132 - 5651*j**2 - 22 to r + z*j + w*j**2 and give r.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*o = -15*o - 23564. Round o to the nearest 100.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1790829*y**3 - 23776*y + 166.\nAnswer: -10744974*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z - 2*z + 7*z. Let o(r) be the third derivative of 7*r**5\/20 + 3*r**2 - 6. What is w(o(n))?\nAnswer: 63*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 + 55*d**2 - 52*d - 380. What is the units digit of c(51)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 36059*i**3 + 14919.\nAnswer: 108177*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -15624, -31247, -46870?\n\"Answer: -15623*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 - 2*p**2 + 2*p. Suppose 10 = -3*g - 2. Let a(l) = -4*l**3 - 7*l**2 + 7*l. Give g*a(n) + 14*r(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 58.\nAnswer: 1\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) 2 (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1237 + 1235. Let p = -2\/305 + -911\/610. Which is the third biggest value? (a) -3 (b) -0.1 (c) p (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {g: 1, d: 6, n: 6, l: 7}.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -456573, -2, -315 in decreasing order.\nAnswer: -2, -315, -456573","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 26*p - 3. Let y be w(4). Let s = -4 + y. Is s 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 140 and 84?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 9:36 PM?\nAnswer: 3:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/(-16)*20\/6. Let r = 2 + u. List the prime factors of -3*(-1)\/(r\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2170 (b) -0.5 (c) -17\/10 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 872214186.\nAnswer: 2, 3, 241, 603191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 9*h - 30. Let s be r(5). Solve 4*f - 2*f - 4*l = -18, -5*f - 2*l + s = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -347 - -353. Solve -p - 3*k - 10 = 0, k - 17 = 2*p + c*k for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/43 (b) -1\/2 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*k = 23, -4*o + 4*k - 25 = 3. Let x = 8\/5 + o. Which is the third smallest value? (a) x (b) -3 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o. Let h(w) = -47*w**2 - 4*w. What is h(r(j))?\nAnswer: -188*j**2 + 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 596025?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/40 + (-10)\/40. Let l be (1 + 0)*1\/5. Let x(z) = z + 1. Let o be x(-1). Which is the closest to 2? (a) s (b) o (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 28 = x, -6*x + 1 = -4*x + d. What is the derivative of -x*i - 1 - 56*i - 35 - i**3 wrt i?\nAnswer: -3*i**2 - 59","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15 - -21. Let i(f) = -f + 11. Let b be i(z). Let w(x) = -2*x + 1. Let m be w(0). Solve b*s + 19 = -m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 247 and 34200.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 9*m + 21 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 115\/556 - -6\/139. Let v be (-1)\/(-1) + -2*1. What is the nearest to -1 in 1\/3, v, l?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -2*s - 4, -7*y - 4*s = -3*y - 16 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -173 + 174. Let i = 10 + -11.8. Let a = 1 + i. What is the third biggest value in q, a, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15580811, 0, 3?\nAnswer: -15580811","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1749421199.\nAnswer: 4397, 397867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (3 - (2 + -1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f - 4*w - 13, 2*f - 3*f - 9 = 4*w for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (4\/10)\/(-12 + 28529319\/2377440)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29883.2125 to the nearest ten.\nAnswer: 29880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 71 + -143\/2. Let k(a) be the second derivative of a**4\/12 - a**3\/2 - 2*a**2 - 2*a. Let i be k(4). Which is bigger: i or t?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 22 = -101. Let g = 22 + r. Let y = 26 + g. Is y a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 41, 46, 35, 2, -59?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 830 = 4*a, 5*j - 131 = -2*a - 991. Let y be 1 - j - (2 - -1). What is the greatest common divisor of y and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 326330?\nAnswer: 2, 5, 32633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of i**5\/30 - 17*i**2 + 5. Let o(l) be the first derivative of -3*l**2 - 3. Give f(o(n)).\nAnswer: 72*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2126 = -115*o + 3621 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869492 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: Solve -2*m**2 - 91456*m - 1045524992 = 0 for m.\nAnswer: -22864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.07359 to 0 decimal places.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s + 4 = 0. Let r(u) = -3*u. Let b be r(-1). Let o = -0.3 + 0.2. What is the closest to o in s, -0.4, b?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1 = -k. Let q be 4*-1 - (2 + k). List the prime factors of 1*(46 - (q - -2)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z**3 - 13*z - 9. Is t(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 12 + 0 + 768 + -798 - (-2 - -9).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51.12 + 0.12. Is n less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 + -14. Let o(k) = 5*k**2 - 1. Let g(h) = 1 + 1 - h - 29*h**2 + 15*h**2. Let y(s) = 4*g(s) + 11*o(s). Give y(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -100011001001111011 (base 2) to base 16\nAnswer: -2327b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -106453 (base 7) in base 2?\nAnswer: -100101010011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*f**3 + 254*f**2 - 3*f**3 - 904*f**2 - f**3.\nAnswer: -2*f**3 - 650*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1076976, 4305146, 9685430, 17217828?\n\"Answer: 1076057*j**2 - j + 920","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f + 3. What is d(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**4\/12 + o**3\/6 - 9*o**2\/2 + 2*o. Let p(k) = k**3 + 6*k**2 + 5*k. Let z be -3 - (-2 + 2 + 2). Let c be p(z). What is h(c)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 6\/95, -2 in ascending order.\nAnswer: -2, 6\/95, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0394393 and 0.3.\nAnswer: -0.01183179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -90*w + 5*w**2 + 78811 - 78811 as c + r*w**2 + n*w and give n.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -4\/175?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 24094419299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13994*i**5 - i**3 + 9*i**2 - 94*i - 2?\nAnswer: 839640*i**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - b = 7*q - 7, -3*b - 3 = 0. Sort 7, 5, 0, q in ascending order.\nAnswer: 0, q, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-608)*337 + -4. Let t = -51\/38 - m. What is the common denominator of -55\/32 and t?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -5, -73 in ascending order.\nAnswer: -73, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 5. Let a be n(4). Suppose -a = -2*t - 7. List the prime factors of t.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 15 = -4*y. Suppose 0*q = -y*q + 30. Suppose -2*n - 3*r = -q*r - 739, 4*n - r = 1483. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -697429270 - 5.017.\nAnswer: -697429275.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 3*s + 2*s + 30 = 0, -4*l = -3*s - 35. Suppose -5*g - r + 3*r = -2715, -3*g - l*r = -1629. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63152 and 8?\nAnswer: 63152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -129148 and -0.54476601?\nAnswer: 129147.45523399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, n: 2, v: 1, h: 2, q: 2, u: 3}. What is prob of picking 2 u?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*h + (-2 - 3 + 3)*(2*h - 5 + 5) + 3 - 2*h - 3 + (-2 - 2*h + 2)*((-1 + 1 + 1)*(-2 - 2 - 1) + 2 + 5 + 4).\nAnswer: -20*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**2 + 5995*m = 0.\nAnswer: -5995, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -4. Let k(a) = a**3 + 5*a**2 - 6*a + 2. Let z be k(-6). Let n = -11126.6 + 11127. Sort -0.5, u, n, z in ascending order.\nAnswer: -0.5, n, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162*t + 48*t - 133*t - 44*t.\nAnswer: -291*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -8, -1, -7, 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -505.05 + 505. What is the closest to r in -0.1, 4\/5, -8, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**2 - z - 18. Let r be v(7). Let t = r - -938. Suppose 0 = 3*x - 12, -2*x + x = -4*h + t. Does 27 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*k**2 - 2)*(-4137*k**2 + 46*k**3 + 4137*k**2).\nAnswer: -92*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 14.23. Let f = 0.17 - t. Is 4 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6114, 12262, 18444, 24666, 30934, 37254?\n\"Answer: n**3 + 11*n**2 + 6108*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/196 and (-17)\/1768*-8 + 9171\/(-64974).\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 230140841?\nAnswer: 7, 163, 201701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-4)\/(-16)*4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -16 + 24 + (-3 - -1). Let c(k) be the second derivative of k**5\/20 - 5*k**4\/12 - 7*k**3\/6 + 4*k**2 - 2*k. Give c(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuuuququouqoou. Give prob of sequence uou.\nAnswer: 11\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 85 - 86. Put t, -0.2, -5, -0.5 in increasing order.\nAnswer: -5, t, -0.5, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-57)\/(-133))\/(2\/(-28))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -436*r**3 + 2*r - 102*r**3 + 162*r**3 - 373*r**3.\nAnswer: -749*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the second derivative of g**4\/6 + 5*g**3\/3 + 3*g**2\/2 - 25*g. Suppose 5 = -5*j + 4*j. Let m be f(j). Solve b = m*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-33)\/(-7) - 10\/(-35). Suppose 2*j - j - 9 = -a, -l*a = -2*j - 24. Let x(p) = 3*p - 2 - p - a + 0*p. What is x(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*(8\/24 + 22\/(-6)). Let h = u + 18. Suppose -3*n - 49 = -x, 3*x - h*x - 3*n + 155 = 0. List the prime factors of x.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from vocvcccci?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1634794*f**3*g**3 + 9*f**3*g**2 - f**3*g - 2*f**2 - 246*f*g + 3*g**5 - 21 wrt g.\nAnswer: -9808764*f**3 + 180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6183273?\nAnswer: 3, 47, 43853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0 (b) -2\/29 (c) -0.1282 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 55 in 621, -5, 3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 276 (b) 6\/11 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uyyyuyyyuy. Give prob of picking 3 y and 1 u.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 212 and 136788.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/25 and -21\/97.\nAnswer: 2425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 275076 and 216?\nAnswer: 550152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 8*q = 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-71 - -17) + 74 - 66?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 2\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 divided by 35?\nAnswer: -46\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 5*m + 2*a, 4*m + 3*a = 23. Let p be -6*((-55)\/10 - -7). Let u be (10 + -1)*(p - (2 - 10)). Are u and m unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5565, -1, 0.4, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 121002193 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d**3 + 26*d**2 - 14*d + 32. Let o be t(8). Solve 50*l + 12 = o*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cyf when three letters picked without replacement from {m: 1, d: 2, y: 9, t: 2, f: 1, c: 3}?\nAnswer: 3\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zczzczczccccczzzzcc. What is prob of picking 1 c and 2 z?\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 671987*h**2 - 2. Let r(v) = -14*v. Give i(r(t)).\nAnswer: 131709452*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5 = 2*s + 33, -5*t + 45 = -5*s. Suppose -2*f - 6 = 0, 0*l - t*l + 3*f + 29 = 0. Solve -l*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2556872039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*j**5 + 16*j**3 - 16*j**3 + (0 + 0 - j**3)*(j**2 + j**2 + 0*j**2) + 86 - 86 - 12*j**5.\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -163, -30, -5, -2\/13.\nAnswer: -163, -30, -5, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*s + 2 - 10, 0 = 4*n - 2*s + 8. Suppose 0 = 2*y - n. Factor 15*v**4 - 14*v**3 + y*v**2 + 4*v**2 - 5*v**4 + 0*v**2.\nAnswer: 2*v**2*(v - 1)*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 - (4 - -55)) + (-1 - 0). Let j = 639\/11 + v. Let n = -46 + 47. What is the third smallest value in 3, n, 5, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -212, -260, -356, -512, -740?\nAnswer: -1052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 300 - 521. Let p = o + 223. Solve d = -m - p*d + 10, -20 = 3*m - d for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - f**2 + 3*f + 10. Let v(w) = 3*w**3 + w**2 - 4*w - 10. Let i(g) = 4*l(g) + 3*v(g). Calculate i(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -10*p**4 + 7*p**3 + 24*p. Let g(u) = -11*u**4 + 6*u**3 + 23*u. Let q(j) = -7*g(j) + 6*z(j). Find the second derivative of q(a) wrt a.\nAnswer: 204*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 81 and 99?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/50)\/(924\/1155)?\nAnswer: -24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*o**2 - 5*o**2 - 2*o + 4*o**2 - 1 - o in the form p*o + a*o**2 + r and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwxwwwwwwwwwwxwwww. What is prob of picking 1 x and 2 w?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 226aa (base 13) in base 8?\nAnswer: 172316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -q - 3, 0 = -4*q - 3*d - d + 4. Suppose q*p + 4*p = 32. Solve 0 = 3*k - 5*k - p for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1610035770 and 9814?\nAnswer: 9814","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 97 and -0.0358.\nAnswer: 96.9642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 575 + -490. Calculate the greatest common divisor of q and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3904 is divided by 36.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + sqrt(48) + -2.\nAnswer: -3 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2. Let j(c) = -5*c**2 + 13*c. Give 4*f(a) - j(a).\nAnswer: a**2 - 13*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 57*i**2. Let y(f) be the first derivative of f**5\/30 + 43*f**2\/2 + 35. Let b(k) be the second derivative of y(k). Give j(b(v)).\nAnswer: 228*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five sixths of a millennium?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 24 * 49\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8419612ng in micrograms?\nAnswer: 0.0008419612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1706401, 1706400, 1706399?\nAnswer: 1706398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179 + 251. What is the remainder when 279 is divided by c?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 48 - 43. Suppose 4*j - 163 = -i*u, -5*u + 10*u = -5*j + 210. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 3:16 PM?\nAnswer: 4:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a5 (base 11) to base 16.\nAnswer: 2d0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -80 + 116. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 228754, 456273, 683792, 911311, 1138830, 1366349?\nAnswer: 1593868","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154, 529, 1124, 1939, 2974, 4229, 5704?\nAnswer: 7399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.95 + 1. Let i = t - 3.55. Let u = 4 + i. Which is the biggest value? (a) -1 (b) 0 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 570 divide 3803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11745 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20783\/2 + 10392. Let p = -0.2 + 0.4. Let n = -6 + 10. What is the closest to p in n, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 38 + 16. Calculate the smallest common multiple of x and 12.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**3 - h**2 + 2*h - 1. Let n be w(-2). Let k be (-3)\/6*8\/n. Solve -4*p + 9*p + 25 = k*t, -t + 1 = 4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1240 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*w + 175 = -13 + 44 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 44366 and 0.5?\nAnswer: 22183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9\/20 - 143\/140. Let w = -156 + 155. Which is the fourth biggest value? (a) 4 (b) p (c) -5 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022291 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -91165*z**2 + 548*z**4 + 182241*z**2 - 91138*z**2 wrt z?\nAnswer: 13152*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8568 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -294, -285, -276, -273, -282, -309, -360, -441?\n\"Answer: -s**3 + 6*s**2 - 2*s - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -11*s - 8*s + 6 - s**3 + 17*s - 3*s**2 + 8*s**2. Let n(i) = 3*i**2 - 2. Let z be n(-2). Suppose 2*y - 19 = -3*o, 2*y = -5*o + z + 19. What is l(o)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 3*w - 8 = 4, 0 = 4*w + 16. Let d be 2\/(-6) - 1015\/1365. Is d less than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 12 = 3*g, -6*g = -4*g + v + 5 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -75. Let t(c) = -c**3 - 10*c**2 - 2*c - 12. Let u be t(y). Let s be ((-1)\/1 - 1)\/(-2). What is the highest common factor of s and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10248?\nAnswer: 2, 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1212 and 142152248?\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 + 11*n**2 + 12*n - 45. Calculate the remainder when 1138 is divided by u(-7).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -ef (base 16) to base 4\nAnswer: -3233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mg when two letters picked without replacement from agagagm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 20. What is the remainder when 25 is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**5\/5 - 8496*b**4\/5 + 1704474*b**3\/5 - 34425028*b**2\/5 + 183712848*b\/5 = 0?\nAnswer: 0, 11, 188, 4038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*m + 4 + 7 - 23 + 9 - m**3 + 3*m**2 to the form l*m**3 + f*m**2 + j*m + n and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -2*x + 4*x + 14, 3*t + 18 = -4*x. Let m(q) = -q - 1. Let i be m(x). Solve 0 + 12 = 4*w - i*f, 0 = -5*w - f + 15 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 356*l**4 - 11*l**3 + 99*l**2 - 55521*l + 407?\nAnswer: 4272*l**2 - 66*l + 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 - 0.4. Let j(i) = 1. Let v(s) = s - 6. Let g(q) = 2*j(q) + v(q). Let f be g(5). Which is the third biggest value? (a) 0 (b) f (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 2*j + 2. Determine d(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 655 and 181566.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95\/12 - -2239\/60. Which is bigger: 30 or o?\nAnswer: 30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3\/5*b**2 + 1566\/5 - 147\/5*b = 0.\nAnswer: -58, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 10*y - 54. Let w be h(6). Suppose -o + 1 = -2. What is the second derivative of -13*f**o - 13*f**4 - w*f**3 + 19*f**3 - 5*f wrt f?\nAnswer: -156*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -7106, 0.5, -3, -0.3 in descending order.\nAnswer: 4, 0.5, 0, -0.3, -3, -7106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**3 - 3*b - 3. Is p(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5131157 rounded to 1 decimal place?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**4\/7 - 180*h**3\/7 + 2511*h**2\/7 + 5766*h\/7 = 0. Calculate h.\nAnswer: -2, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 26. Let f = 17.5 - t. Which is the biggest value? (a) -2\/11 (b) f (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -82 - (-19 + 18 - (28 - -1))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3282752473 to the nearest integer?\nAnswer: 1486","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of -x**8\/2184 + x**6\/780 + 44*x**2 + 212*x. Let u(s) be the first derivative of q(s). Factor u(m).\nAnswer: -2*m**3*(m - 1)*(m + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 644\/5069 + -10\/137. Which is bigger: -1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 + 828501.\nAnswer: 828512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7520?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60 + -50. Suppose -540 = 7*z - i*z. Suppose -4*o + o + z = 0. Is o a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*y**4 + (3*y - y - y)*(2*y**3 - y**2 + y**2) + (978*y**2 - 385*y**2 + 753*y**2)*(-3*y**2 + y**2 + 0*y**2 - 1).\nAnswer: -2688*y**4 - 1346*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -41 + 40. Let m = 1 - v. What is the second derivative of -3*j**2 + 0*j**m + 0*j**2 - 16*j wrt j?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 2, -1\/6, 42, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 71925, 71596, 71267?\n\"Answer: -329*h + 72254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 57 or 53?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6957 is divided by 772?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32742144*k**2*o**3*p**2 + 5072*k**2*o**2*p - 4*k**2*o**2 - k**2*o*p**2 + 6*k*o*p**2 + 2*o*p**2 wrt o?\nAnswer: 196452864*k**2*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-163.1.\nAnswer: -489.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 9:52 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -97, -419, -957, -1711, -2681?\n\"Answer: -108*y**2 + 2*y + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.0427 + -279.9573. Let o = -279.8 - y. Sort o, 5, -17.\nAnswer: -17, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + 1000011000100011011100?\nAnswer: 1000011000100011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 138 (b) 5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 73. Let v be ((-2)\/y)\/(7\/28). Put 1, 2\/5, v in ascending order.\nAnswer: v, 2\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1100110101011110101010 (base 2) to base 5\nAnswer: -1330133103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 6 (c) -1\/26 (d) 0.1 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t + 12. Let d = 533 + -543. What is r(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of b**3\/3 - 5*b**2\/2 + 6*b + 1. Suppose -3*i - 3 = -15. Let j be q(i). Solve 0 = -j*f + 5*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 8*j**2 - 11*j + 29. Let t be w(9). What is the greatest common divisor of 121 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s. Let i = -426 + 425. Let q(g) be the second derivative of -4*g**3\/3 - 5*g. What is i*q(r) + 4*b(r)?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (4 - 0)) + 4 + 1 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -3. Let w(s) = -3*s - 8 + 7*s**2 - j*s**3 + 3*s**3 - s. Let p be w(6). Solve -p*f - 6 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, m: 2, y: 1}. Give prob of picking 2 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 953401 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11917865.\nAnswer: 5, 2383573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 279183 + -b?\nAnswer: 279176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/3 + 142*u**3\/3 - 136*u**2 = 0. What is u?\nAnswer: 0, 3, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 6, h: 1, y: 4}. Give prob of sequence hyyy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -138259527 to the nearest one million.\nAnswer: -138000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 4 (c) 1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the third derivative of -11*n**7\/210 - 2*n**5\/15 - 13*n**4\/12 - 61*n**2. Find the second derivative of k(b) wrt b.\nAnswer: -132*b**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 413610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 33 = -4*n + 35, 0 = -n + 4*z. Solve 8*t + n = -4*f + 4*t, 4*t = 3*f + 5 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51.95 times -3888\nAnswer: -201981.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 249213.\nAnswer: 3, 83071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 + 177\/7. Let x = m - 11\/14. Which is the closest to 0? (a) 2 (b) x (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + -11.8. Let i = -481\/10 - -48. Is i != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -579 - 580 + 2330 - 582 + n**3 - 589.\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 152094495?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 1839460?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**3*z + 309*o**3 + 13*o**2*z with respect to z.\nAnswer: 3*o**3 + 13*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 3 g when four letters picked without replacement from {s: 3, v: 1, g: 5, d: 1, o: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -171, -152, -125, -96, -71, -56, -57?\n\"Answer: -f**3 + 10*f**2 - 4*f - 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 1 + (-18 - -26).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + 9. Let m(v) = -2*v - 8. Let c be 2 + -3 - (-11 + 1*(7 + -3)). What is c*m(x) + 5*q(x)?\nAnswer: -7*x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1916 - 1791. What is the highest common divisor of 50 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15957 + 27444. What is the hundreds digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -21 - 84. Let r be (-4)\/(-30) - (-3065)\/75 - 6. Calculate the common denominator of m\/r - 566\/240 and 39\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 172\/(-430) - 286\/(-165).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.23? (a) -0.8 (b) 7 (c) -1\/10171 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (19 - 14) + (2 - 3) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 + (82 - (-2)\/2)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 206377.\nAnswer: 47, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 306 + -398. Let p(h) = 19*h**3 - h. Let o be p(-1). What is the tens digit of (-15)\/60 + o\/(-8) - b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3534 and 1?\nAnswer: 3534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 17. Suppose 0 = t*k + 3*i - 12, k + 6 = 2*k + 2*i. Let l(m) = 12*m**3 + 3*m + 11*m**3 - 22*m**3 + 2 - 6*m**k. What is l(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 10*z - 3080. Suppose -5*b = g + 726 - z, b + 5*g + 70 = 0. Find the common denominator of -63\/22 and (0 + (-139)\/(-36))\/((-30)\/b).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3422205 rounded to two decimal places?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*m**2 + 84*m**2 - 87*m**2.\nAnswer: 99*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 4:00 PM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b - 54 + 79 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, -6, -37, -2, 4, -4 in decreasing order.\nAnswer: 59, 4, -2, -4, -6, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f + 11. Let g be b(-8). Let r = g + -7. Let i be -3 + -5*(r - -3). Solve 1 = s - i*q + 9, -12 = 4*s - 3*q for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 25395 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + b - 4*b.\nAnswer: -3*b - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + 94*q + 923. Give o(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/2 + 1 + -1. Calculate the remainder when 21*z - (1 - -1) is divided by ((-95)\/15 + 3)\/((-1)\/3).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 569241?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 267212?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 190, 283, 378, 475?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -24. Let g(x) = -21*x**2 - x - 1. Let w(j) = 22*j**2 + j + 1. Let q(a) = -3*g(a) - 2*w(a). List the prime factors of q(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*u + u = -9, -2*s + 4*u = -8. Let d be 36\/10*(-350)\/(-210). Let l be (1 + 2)\/(26\/d). Which is smaller: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**2 + 353285172*z - 353285176.\nAnswer: 4*(z - 1)*(z + 88321294)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1363.0617 months in millennia?\nAnswer: 0.113588475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times -3134\nAnswer: 2820.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**2 + 8*x - 5. Suppose i - 3*r - 42 = 0, 2*i + i - 158 = r. Let h = i - 50. Give l(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11157?\nAnswer: 3, 3719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 445, 446, 447, 448, 449?\n\"Answer: g + 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2775060?\nAnswer: 2, 3, 5, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (6\/55)\/((-61)\/305)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-3 + -4 + 9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 147629410?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z**2 - 5*z - 5. Let t(b) = 4*b**2 + 3*b + 3. Let n(f) = -3*m(f) - 5*t(f). Let k(w) = -394*w**2 - 1. What is k(n(l))?\nAnswer: -1576*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 260733 and 66?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6 = x. Suppose b = -0 - x. Suppose t - 2 = -m, -3*t + 0 = 2*m - 3. Is b less than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -29, -30, -31?\n\"Answer: -a - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 8. Let i be 3\/(-15) + (-2)\/l. Suppose i = y - 5 - 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*l - 47*l = -1408. Calculate the highest common factor of 32 and l.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 846 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110.68 - 108.68. Let d = -16 + 32. Suppose -2*k + d = 3*x, -2*x = 2*x + 5*k - 26. Which is smaller: x or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -6 + -3 - 9\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 128 and 704?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3901370520.\nAnswer: 2, 3, 5, 32511421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(132)*-1*-5)\/(sqrt(432) + -2*sqrt(432)*6).\nAnswer: -10*sqrt(11)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 15*a = 128. Let k = a - 16. Let x(b) = -b**3 - 5*b**2 - b - 3. Let n be x(-5). Solve 0 = -2*z + m - 8, -n*z - k = 2*z - 3*m for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 46 + 50. Suppose h - 32 = 3*m, 4*m = h - 6 - b. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-4)\/24*(-4)\/(-5)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.025781 or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -603?\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42dcd (base 16) to base 4.\nAnswer: -1002313031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7961 (base 10) in base 8?\nAnswer: 17431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 - 2)*(-z + 0*z + 0*z) - 5*z + 0*z + 2*z)*(z**2 + 10*z**2 - 7*z**2) as o + d*z**2 + q*z + v*z**3 and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -0.2562138.\nAnswer: -0.0562138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by -5315549?\nAnswer: -18\/5315549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7275.37 weeks in microseconds?\nAnswer: 4400143776000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 800*q - 9764. Determine t(12).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3.1546 * 0.1\nAnswer: -0.31546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -137179*g - 411527. What is m(-3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -207 - -211. Suppose -l + 255 = y*u - 2*l, 5*l = -2*u + 111. What is the remainder when u is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*t - 3*o - 35, 52*t + 8*o + 165 = 53*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 15, 20, -3, 3 in descending order.\nAnswer: 20, 15, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -73*h**2 + 159 - 24*h**2 - 14*h**2 + 81*h**3. Let p(t) = -5*t**3 + 7*t**2 - 10. Let g(o) = 2*m(o) + 33*p(o). Factor g(v).\nAnswer: -3*(v - 2)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2. Let f be -1 + 2 - (-3 - -2). Let b be 0 - (-1 - (-1 + 2)). Let g(c) = -2*c**2 - f*c**2 - c**2 + 3*c**b. Give g(u(x)).\nAnswer: -2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-7))**(-50))**(-33\/2))**(3\/16) assuming g is positive.\nAnswer: g**(-17325\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/(-54) - (-4)\/(-18). Suppose d*c - c + 17 = -2*i, -5 = 5*i. What is the remainder when (4 - 1)*44\/3 is divided by c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1580?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -91*i - 86. List the prime factors of u(-2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 589, 672, 753, 832, 909?\nAnswer: 984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 49 + -14. Let r = 15 - a. Let s = r - -30. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 + 45*k**2 - 47*k**2.\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 5:09 PM?\nAnswer: 10:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -92 divided by 1129\nAnswer: -92\/1129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 9:23 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 32, 53, 90, 149, 236, 357, 518?\nAnswer: 725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1219, 1216, 1211, 1204, 1195, 1184?\nAnswer: 1171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -154.35857041 to the nearest integer.\nAnswer: -154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*o - 8 = 0, 0 = -5*f - 5*o - 5 - 15. Let j = 11 + -7. Suppose -j*c = -f*c - 56. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -198039\/20 + 9898. Let u be -1 + (759141\/(-42))\/(-3). Let f = u - 6021. What is the common denominator of a and f?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**5\/3 + a**4 + a**3\/3 - a**2 - 2*a\/3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25402*f**2 + 8244*f**2 + 9039*f**2 + 9130*f**2.\nAnswer: 1011*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12595899.\nAnswer: 3, 421, 9973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 PM and 12:32 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -2*f - 10, -3*f + 6*w = w + 10. Let l be 5 - -3 - (f - -4). Solve 2*j = 5*s - 16, -s = 2*j - l*s + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 - -3) + -1 + -26 + 7\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 16. Let a = 12 - h. Let l be a\/12*3\/9. What is the second smallest value in -0.5, l, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229947 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4 + sqrt(200) + -1 + sqrt(200) + sqrt(200) + ((3 + sqrt(200) + -3 - sqrt(200)) + sqrt(200))**2)*2.\nAnswer: 60*sqrt(2) + 391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 400.0671565 and -13066?\nAnswer: 13466.0671565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from lllrlyrorryry.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0005718469 to 7 decimal places.\nAnswer: 0.0005718","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.1907?\nAnswer: 0.9535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5097*k*o**2*v + 10*k*o**2 - 30*k*o*v + 134*o**2 + 232*o wrt v?\nAnswer: -5097*k*o**2 - 30*k*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40212623 and -0.1.\nAnswer: 4021262.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 70857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**2 - 1803*l - 179550.\nAnswer: -3*(l + 126)*(l + 475)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.4755 - -20.4755. Let x be ((-4)\/10)\/((-21)\/15). Which is the smallest value? (a) m (b) x (c) 97\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16\/10*(-15)\/(-2). Let o = -2 + 9. Let w be o*(8\/(-7) + 2). What is the greatest common divisor of w and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 3*z. Suppose 4*x = -z - 4, 5*x + 16 = -s. Let h be s\/(-3) + (-2)\/(-6). Solve 23 - 3 = h*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43 and 344.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467 (base 14) in base 7?\nAnswer: 13360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1420 divided by -355.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 19*h**2 + h + 14. What is x(19)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0 (c) -0.5 (d) 130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 divided by 2069.\nAnswer: 87\/2069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 2790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1*-8*(-52)\/8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/10 of a hour?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.3609 + -0.0391. Let j = 26.6 - 29. Let o = f - j. What is the second biggest value in o, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6608870 to the nearest integer?\nAnswer: 2571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9 - 2. Let c be 24\/60*(-30)\/(-8). Is u at most c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 1.3?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*c**6 + 4640*c**3 - 4613*c**2 + 54*c?\nAnswer: -7920*c**3 + 27840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2418 by -186.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*c - 46*c**3 - 16*c**2 + 11*c + 13*c + 4.\nAnswer: -46*c**3 - 16*c**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 55572093.\nAnswer: -2\/55572093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-4 + -2 + sqrt(72) + 1)**2 - 2*(sqrt(72)*-2)**2*-4)*-2.\nAnswer: -9604 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-211820)\/48450 + 4\/15 + (-6)\/(-57)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**3 - l**2 - 47*l - 24. Let a be d(5). What is the highest common factor of a and 144?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160*u**3 - 10392*u + 5278*u + 5112*u - 56*u**3.\nAnswer: 104*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 32*j - 65. Calculate n(-32).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k. Let o be d(1). Suppose -c + 34 = o. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 6 - 13 = 0. What is the third smallest value in 0, -2\/3, 3, f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -54*w**2 - 393*w - 45. Calculate v(-8).\nAnswer: -357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2835) + sqrt(2835) + (sqrt(2835) - -4*(sqrt(2835) + 2*sqrt(2835)) - sqrt(2835)) - sqrt(2835))\/((sqrt(567) + sqrt(567)*-1)*3 - sqrt(567)))**2.\nAnswer: 845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13.5 - -8. Let p = m - -5. Which is the biggest value? (a) p (b) 1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 1.1, -0.5, 0, 0.5?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/12*30\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 8. Let m be i(-8). Let c = -81 + m. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25427644.2ms in days?\nAnswer: 0.2943014375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 285 = -2*d. Suppose 6*x - 11*x + d = 0. Let t(b) = 96*b - 2. Let p be t(2). Calculate the highest common divisor of x and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 573 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 189 - 1474. Let z = c - -2190. What is the hundreds digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4603 divided by -60\nAnswer: -4603\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 4:35 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36039 and 624676.\nAnswer: 1874028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the third derivative of l**7\/15 - l**5\/30 + 7*l**2. Find the third derivative of h(s) wrt s.\nAnswer: 336*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -28*w - 10. Let a(m) = m + 1. Give -22*a(x) - 2*h(x).\nAnswer: 34*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 + -3. Let j = l - -16. What is the nearest to -1 in -2\/5, -0.5, j?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 61159, 245229, 552009, 981499, 1533699, 2208609?\n\"Answer: 61355*u**2 + 5*u - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + j + j = 44, 0 = -3*j - 12. Suppose 0 = 3*s - 7 - 8. Calculate the remainder when g is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, i: 2, o: 4, t: 1, h: 2}. What is prob of sequence ti?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4014 - -4016. Which is greater: i or -859?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/18 + 1768\/336 + -6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 58*((-35)\/(-10) - 3). Let i be 0*2\/(-4)*2. Suppose 5*l - 4*t + s - 381 = i, 150 = 2*l + 3*t. What is the highest common factor of l and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*z**3 + 32*z**3 - 13*z**3 + 31*z**3.\nAnswer: 37*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 40664?\nAnswer: 40664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -143, -189, -39, 409, 1257, 2607, 4561?\n\"Answer: 17*w**3 - 4*w**2 - 153*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 188672723 to the power of 1\/2, to the nearest integer?\nAnswer: 13736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/7 - (-12)\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 1, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 3 + 2 - (1 + -5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 3. Let x be t(3). Let u be ((-5 - -6) + -1)\/(x + 2). Find the second derivative of -8*d**3 + u*d - 8*d - 9*d wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - -11. Suppose -s*j - 40 = -9*j. Suppose 2*i - j - 14 = 0. What is the remainder when 32 is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -43*v**3 - 7*v**2 - 7*v - 15. What is the smallest common multiple of 56 and w(-2)?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10481 + 4*v - 10481.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18505197, 74020800, 166546805, 296083212, 462630021?\nAnswer: 666187232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 117259 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-8) - (-4 + 3) - -6. Let s(m) = -m**2 + 15*m + 19. Let u be s(16). Sort -4, j, u, 4 in descending order.\nAnswer: j, 4, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 8:11 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2494 is divided by 803?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (35 + (-7125)\/228)\/(3\/(-4)). Let j(w) = w - 4. Let p be j(4). Let a = p - 0. Sort -2, a, b, 2.\nAnswer: b, -2, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**12\/(p\/(p\/(p*p\/p**(-6\/11)))))**(1\/32))**(-4\/27) assuming p is positive.\nAnswer: p**(-13\/297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*(1 + -4 + 2). Let q = 1 - p. Solve -q = 3*a - a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from deeseeee. Give prob of sequence sde.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212 (base 3) to base 11.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - -13. Let x(g) = 4 - u - 3*g**3 - 5*g**2 - 3*g**2 + 2*g**3 - g. Let q be x(-8). Solve -f + q = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**3 - 6*a**3 - 4*a**3 + 4*a**3.\nAnswer: -8*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -8*z**5 - 384*z**4 - 376*z**3 + 12*z**2 - 12*z + 12. Let j(r) = -r**5 + r**3 + r**2 - r + 1. Let t(k) = g(k) - 12*j(k). Factor t(d).\nAnswer: 4*d**3*(d - 97)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1068759961 rounded to the nearest one million?\nAnswer: 1069000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-310) - (-180)\/93.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -371893359\/1331 + 279409. Let t = y + -182587\/15972. Calculate the common denominator of 89\/12 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300258 is divided by 100083.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*r**2 + 90772768*r - 514980963148864 = 0. Calculate r.\nAnswer: 11346596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**(-23\/3)*x))\/(x*x**15))\/(x*x**(1\/4)*x)**(-4) assuming x is positive.\nAnswer: x**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3630744 and 774.\nAnswer: 156121992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -15 (b) 2\/13 (c) 0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -h - 11. Let a = -74 - h. Find the second derivative of 63 - 32 - a + 19*o**4 + 20*o wrt o.\nAnswer: 228*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1b8b0a - a7?\nAnswer: 1b8a33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -51516950 rounded to the nearest ten thousand?\nAnswer: -51520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7*f**4 + 9*f**3 + 13432*f + 10605737 with respect to f.\nAnswer: 28*f**3 + 27*f**2 + 13432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.409326us in days?\nAnswer: 0.000000000872793125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -25. Let l be (-2)\/10*w\/(-12). Let g = -4.1 - -4. Which is the closest to g? (a) l (b) 0.4 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -259 + 665. Let n = d + -242. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 8*p - 9. Suppose 0 = -3*f - 2*f - 30. Let r be a(f). Solve -r*v + 16 = -7*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 5*n - 4. Let g(y) = y - 1. Let w(i) = 3*g(i) - s(i). Let l be w(1). Let t = l + 6. What is the greatest common factor of t and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 7. Let n be p(-6). Let h = -0.4 + 0.3. Let u = h - 0. What is the third smallest value in n, u, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/4 (b) -7 (c) -1\/4 (d) 762.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 64\/14 + (-27)\/(-63). What is the tens digit of 2 - x\/((-15)\/228)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1190942 minus -4934?\nAnswer: -1186008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.43 + -0.02\nAnswer: 0.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - -3156165?\nAnswer: 3156175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 3) in base 4?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(931))**2 + 3 - (2 + (sqrt(931) + 1 - sqrt(931)) - (sqrt(931) - ((sqrt(931)*1)**2 + 2))).\nAnswer: 3 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-103 - 33*c + 103)*(11*c + 3 + 4*c**3 - 11*c)*(2*c - 3*c + 3*c)*(5 - 1 - 5).\nAnswer: 264*c**5 + 198*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162 = -12*a + 73 - 343. Let k(q) = q + 671. Let o be k(0). Let g = a + o. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12939 + 7250 + 7308)*(2*p - 2*p + 2*p + (p + 3 - 3)*(-3 + 5 - 3)).\nAnswer: 1619*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Let x(d) be the third derivative of -d**4\/24 + d**3 + 8*d**2 + 27*d. Let u be x(j). Calculate the greatest common divisor of u and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/24404800 and 81\/1300.\nAnswer: 317262400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 0, 7619?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 174, 163, 162, 177, 214, 279, 378?\n\"Answer: b**3 - b**2 - 15*b + 189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 352441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - 140\/(-44))\/(-1). Which is the third smallest value? (a) 2\/9 (b) v (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/552*32\/204. Let d = -3904\/1173 + o. Which is the third biggest value? (a) -4 (b) d (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2. Let i(b) = 2866*b**2. Determine f(i(l)).\nAnswer: 16427912*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1075396502 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 505376\/11 > 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = w + l + l, 3*w = 2*l + 685. Let k be (38\/10 - 24\/(-120)) + 432. Let v = k - w. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 12\/7 - (-6)\/21. Let p be (-4)\/16 + (-34)\/(-8). Suppose -p*j + 3 + 15 = 3*x, 0 = 5*j + x - 17. Solve -j*v - z*v = 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -7*u. Let t(m) = 6*m**2 - m**2 - 4*m**2. Give a(t(j)).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + (-37 - -143 - (8 + 6 + -4 - 22))?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 65 (b) 9 (c) -153\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.7, 1, 0.037?\nAnswer: 0.037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -2*a - o + 112, -234 = -4*a + o. Suppose -1 = 5*x - 6*x. Suppose -2*s = -2*u + a, -u + 2*s = 7*s + x. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/((-33)\/(-15) - 5\/25). Suppose -3*a - 18 = -t*a + q, -2*q = a + 6. Is ((5685\/a)\/(-5))\/((-2)\/(-4)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 38*i - 40*i. Let h = i + 95. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4243430 (base 6) in base 9?\nAnswer: -346500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2312, 2195, 2012, 1775, 1496, 1187?\n\"Answer: 2*x**3 - 45*x**2 + 4*x + 2351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8719*s**2 - 8719*s**2 + 213*s**3 + (-s - s**3 + s)*(5 + 3 - 5).\nAnswer: 210*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a + 29 - 1 = 0. Let w(i) = i**3 + 4*i**2 + 2. What is w(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(75) + 1.\nAnswer: 6 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-75))\/1*-2?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 1\/40, -3\/7, -1, 0.09 in increasing order.\nAnswer: -1, -3\/7, 1\/40, 0.09, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five quarters of a microgram in nanograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*t**2 + 2*t**2 - 4*t**2 + (0 + t**2 + 0)*(1 - 3 - 1) - 3*t**2 + 2*t**2 + 3*t**2 - 1154 + 1154 + 105*t**2.\nAnswer: 98*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 473.6 * -3\nAnswer: -1420.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2707261?\nAnswer: 23, 31, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(1\/3)*d)**(2\/7)*(d**(-1\/10)\/d)\/(d*(d**(3\/10)\/d)\/d*d) assuming d is positive.\nAnswer: d**(-107\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 + ((-2)\/(-6) - (-44)\/(-24))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 321\/2, 1\/4, -1, 1\/7 in ascending order.\nAnswer: -1, 1\/7, 1\/4, 321\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -1617*t - 14557. Let u be d(-9). Is u less than or equal to -151\/34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/11)\/(24\/72)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (1001\/(-63) - -13)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-8)*c*c\/(c*c**8*c))**(1\/11) assuming c is positive.\nAnswer: c**(-15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2 - 3*b - 6. Let s(h) = 21*h**2 - 14*h - 28. Let x(y) = 14*g(y) - 3*s(y). Let t(f) = 13 + f - 21 + 8. Give t(x(u)).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212 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: Four letters picked without replacement from {l: 5, f: 3}. What is prob of picking 1 l and 3 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 118543938 to the power of 1\/4, to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + z**2 - z + 4. Let s be 0*(4 - 3)\/(1\/(-1)). Let k be p(s). Is (k\/(-6))\/(12\/(-7542)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303074580 to the power of 1\/2, to the nearest integer?\nAnswer: 17409","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 - 10*d**2 - 5*d + 7*d**2 + 4*d**2 to the form x*d + i + c*d**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26205336 to the power of 1\/2, to the nearest integer?\nAnswer: 5119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.06 and 0.62114245.\nAnswer: 0.037268547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 - 17. What is the smallest value in 3, -1\/3, s?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/11, 4, -0.07, 4\/7, -1 in increasing order.\nAnswer: -1, -1\/11, -0.07, 4\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(1539) + -1)*1 - (((sqrt(1539) + 1)*5 - sqrt(1539)) + -2*sqrt(1539)*4))**2*4.\nAnswer: -2160*sqrt(19) + 154044","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 768 divided by 19697.\nAnswer: 768\/19697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*r + 10 = -12, 0 = -5*r + 25. Suppose f - 38 = 10. Suppose -f = 3*s - 9*s. Calculate the greatest common factor of s and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssstsssstssss. What is prob of sequence tt?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/3)\/(1\/3). Let r be (12\/15)\/(4\/10). What are the prime factors of o + r + 0\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91 - (14 + 110 + -18).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -57, -65, -73, -81?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 - 3*s**2 - 3*s + 2. Calculate b(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/4, -2\/23, 9\/5, 3\/2?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -5, 0.05, 20?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/576292958 and 55\/14?\nAnswer: 4034050706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*l + 34*l - 102*l - 527 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4072*p**2 + 5*p. Let m(o) = -o**2. Give j(m(g)).\nAnswer: -4072*g**4 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2489886 and 78498.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2425.0004 or 1?\nAnswer: 2425.0004","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 9*b**3 + 112*b**2 - 66*b + 43. What is t(-13)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -d**4\/4 - d**3\/6 + d**2\/2 + 3*d. Let c be n(-2). Let x = 12 - c. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 8:02 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1575 - -1574.999996214. Round s to seven decimal places.\nAnswer: -0.0000038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwwcwwwwwccwwccwww. Give prob of sequence wcw.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4 and 41.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of -2\/3*b**3 + 4 + 0*b + 0*b**2 + 31*b**4. Let u be y(-2). What is u rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 19890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 261 + -98. What are the prime factors of r?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 1037 = 5*o, -200 - 15 = -o + 4*h. List the prime factors of o.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/(m*m**0))\/m*m*m)**(1\/27))**(3\/10) assuming m is positive.\nAnswer: m**(1\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -1907158 not equal to 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**4 + h**3 - h**2 - 2*h - 1. Let w(g) = 603*g**4 + 2*g**3 - 2*g**2 - 19*g + 1. Let c(v) = 2*m(v) - w(v). Find the second derivative of c(p) wrt p.\nAnswer: -7260*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -3*p + 3. Let v be g(3). Let q(h) = -h**2 + h + 3. Let j(z) = -3*z**2 + 2*z + 7. Let n(d) = -4*j(d) + 11*q(d). What are the prime factors of n(v)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3298 + 3300. What is the closest to 20 in -2, d, -5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 - 3 + (2 + 3 - 4)*(1 - 3 + 0))*(13*m**3 - 13*m**3 + 5*m**4).\nAnswer: -15*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 2*w)*(2*w**2 + 2*w**2 + 2*w**2) - 5*w**3 - 21*w + 21*w.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63 + 62. What is the nearest to w in -5, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 38*h**2 - 123*h + 2. Let i be p(-41). Let t be i + 9\/3 + -1 + -2. Solve 3*c = k + 7, c = -k + t - 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 305917 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85.52526 weeks to milliseconds.\nAnswer: 51725677248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25\/1797 + -93013\/289317. Find the common denominator of -66\/115 and u.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 - -74. Suppose -323*h = -291*h - 7328. Calculate the remainder when h is divided by o.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 1. Let h(l) = -5*l. Let u be 9\/7 - (-58)\/(-203). Suppose 4*p - 23 = -7. Determine p*f(z) + u*h(z).\nAnswer: -z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 8.5929.\nAnswer: -25.7787","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o\/((o\/(o*o**(-24)*o))\/o)))*o**38*o)\/((o*o*o**(-5\/8)\/o*o*o)\/o)**(-5\/6))**(-50) assuming o is positive.\nAnswer: o**(-24175\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77991370 is divided by 939655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1283.12*-0.29.\nAnswer: -372.1048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 3600?\nAnswer: 3601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -745.\nAnswer: 6\/745","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -9*(0 - (-2 - -3)). Suppose g*m - 12 = 5*m. Differentiate -16*f + m*f**3 - 2 + 16*f wrt f.\nAnswer: 9*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*g + 22*g = 138 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 46 - 34. Sort u, 30, -3, -5.\nAnswer: -5, -3, u, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**6\/12 - 8*m**5\/5 + 35*m**4\/4 - 2*m**3\/3 - 287*m**2\/4 - 98*m + 7644. Solve w(r) = 0 for r.\nAnswer: -1, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31624 is divided by 39.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 7, c: 1, g: 1, r: 2, v: 4}. What is prob of sequence vl?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*t - 12*t + 11*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + f - 2)*(2 - 1 + 1 + 0 - 1 + 3 + 3 - 3 + 1 + (-1 - 1 + 1)*(-1 - 5 + 5) + 1 + 1 - 1 + 0 - 2 + 0) + (-4 + 10 + 3)*(4 - 4 + 2*f).\nAnswer: 23*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 - 1) + 1 + 0. Let d(p) = 4*p**2 - j*p - 1 + 8*p**3 + 2 - 2*p**2. What is the units digit of d(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6788360?\nAnswer: 2, 5, 169709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 plus 5790.183015?\nAnswer: 5821.183015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1493.5 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 4*x + 106, 0*w = -4*w - x + 68. Let u(t) = t**2 + 3*t - 9. Let z be u(6). Let f = 117 + z. Calculate the highest common factor of f and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129602254 is divided by 281?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76818?\nAnswer: 2, 3, 7, 31, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/u**(-13)*u*u**(1\/8))**(-23\/2)*((u\/(u\/(u**(-1\/7)*u))*u)\/(u\/u**(-2\/25)))**0 assuming u is positive.\nAnswer: u**(-3151\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + i**2 + 6*i + 36. Let n be d(-3). Solve 4*o - 3*s = -3, -5*o + 11*s - 12*s + 1 = n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 57*b. Let l(w) = -w**2 + w + 22. Let p(y) = -10*y**2 + 9*y + 198. Let r(k) = -9*l(k) + p(k). What is m(r(x))?\nAnswer: -57*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-29 + 2 - 0)*48\/(63 + -111)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.6 - -0.8. Suppose c + 2 = 4*n - 0, 0 = -5*n + 3*c - 1. Let s be 9\/20*(-15)\/(-18). Sort n, s, a in increasing order.\nAnswer: a, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - c. Let z(r) = r**2 - 12*r - 1. Determine -l(n) - z(n).\nAnswer: -2*n**2 + 13*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u\/u**(2\/3)*u**(-5))\/(u**(-1\/2)*u**(-2\/5)))\/((u**(-1\/9)\/((u**(-2\/5)\/u)\/u))\/(u**(-2\/7)*u*u**3)) assuming u is positive.\nAnswer: u**(-43\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) 4\/5 (c) 10\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 41644763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 615, 587, 539, 471?\nAnswer: 383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 542*a = 568*a + 208 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -161553263 and -0.5.\nAnswer: -161553263.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43007 = 1426*g - 2788 + 8365 - 23888 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from lelllllelelele.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 + 0*p**2 + 2*p**2 + (-3 - 3 + 5)*(4*p**2 - 5*p**2 + 3*p**2) + (-2*p - p + 4*p)*(115 + 25*p - 115)*(-13 - 12 - 17).\nAnswer: -1050*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/12 + (64\/(-12))\/4. Let x be 1105\/85 - (0 - (o + 0)). What is the greatest common factor of 948 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**3\/3 + s**2\/2 + s - 4. Let a(o) = -o + 2. Suppose -8 = -4*i + 3*r, 0*i = i + 5*r + 21. Calculate i*u(x) + a(x).\nAnswer: x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1104*u - 20*u - 16372 - 18146 + 6334 for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -7*v. Let x(a) = -a**3 - 5*a**2 + 6*a + 4. Let k be x(-6). What is the second derivative of -y + v*y + 2*y**k - y**4 wrt y?\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 30, 0.5, 3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20501 a multiple of 79?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-4)\/(-24)*(-6 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 6 and 31\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - 2*r**3 + r**3)*(5*r - 3*r - 3*r) + 2*r**3 + 2*r**4 - 2*r**3 + (15*r**2 + 3*r**2 - 11*r**2)*(-r**2 + r**2 - 2*r**2).\nAnswer: -13*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/28 - (15\/(-21) - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -730 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*i = -0*f - 458, -f - 2*i = -227. Suppose 0 = 2*m + 43 - f. Suppose 2*h - 2*u + 14 = m, -3*h + 2*u = -122. Is 21 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 4 = z, -2*h = -20*z + 15*z + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 - -4 - ((-3 - (15 - 24)) + -13 + 7)?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 6075*x - 81. Let o be t(-27). Let b = -111506 - o. What is b rounded to the nearest 1000?\nAnswer: 53000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**2. Let q(s) be the first derivative of 0*s - 215 + 29\/2*s**2. Give q(o(c)).\nAnswer: -174*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:02 AM and 11:08 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/7)\/(3\/21). Let a be u\/4 + 2\/4. Let x be ((-1000)\/6)\/(a\/(-3300)). Round x to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 197*w**5\/20 + 671*w**4\/12 + 152*w - 1. What is the third derivative of s(d) wrt d?\nAnswer: 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 263548 is divided by 13861.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1737, 3868, 6853, 11148, 17209, 25492, 36453?\n\"Answer: 76*k**3 - 29*k**2 + 1686*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 55244 minus -0.4?\nAnswer: 55244.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000076257 rounded to five dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/20)\/((-4)\/(-10)). Let t = 5 + q. Is 2 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002189 rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-60)\/8*(-240)\/(-25). Let w = r + 77. Let l(j) = 8*j**2 - 16. List the prime factors of l(w).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -311.85512 and -2\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -8*a. Let t be o(1). Let k be (-6)\/4*t\/(-6). Let b = k + 16. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 13, 2, -9, -20?\n\"Answer: -11*l + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 610203*k**3\/4 - 27432075*k**2\/4 - 304350*k - 3375.\nAnswer: 3*(k - 45)*(451*k + 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 6*j**2 + 5*j - 6. Let o(i) = -7 - 5 + 6*i**2 + 10 + 6*i - 4. Let n(x) = -5*o(x) + 6*p(x). What is the first derivative of n(k) wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -133 divided by 7\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 12*u**2 - u - 2. Let o be (-6)\/30 - (1 - (-72)\/(-10)). Let n be k(o). Calculate the greatest common factor of n and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.155 times 9?\nAnswer: -1.395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 14*v**3 + 1424*v**2 + 32*v - 13737763.\nAnswer: 42*v**2 + 2848*v + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*t**3 + 2*t**4 - 2*t**3 - t**4 - 3*t**4 + 3*t**4 + (5*t**3 - 2*t**3 + t**3)*(-9 + 12 - 3*t + 2*t).\nAnswer: -3*t**4 + 12*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -408?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9469 - -9471. Which is the third biggest value? (a) 0.03 (b) m (c) 3 (d) 0.95\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9209047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -23*m + 50*m - 16*m. Solve -4*a - a = 25, m*a = -h - 21 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -a0c1?\nAnswer: -a0b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 657*l**3 - 3*l**2 - 2 - 3*l**2 - 3 + 6*l. Let x = 46 - 41. Let g be b(x). What is g rounded to the nearest 10000?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5\/15 + (-153)\/297 - (-634)\/(-22). Let m(x) = -x**3 - 30*x**2 - 28*x + 5. What is m(k)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*p - 40. Let j(k) = k**2 + 5*k - 3. Let u be j(-6). Solve 4*m = -4*f - p, -m - u*m + 4*f = -20 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.11? (a) 17 (b) -0.01 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41540366 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 1 + 6 = 0. Suppose -14 = 7*p, 91*t - 92*t + 8 = -5*p. Sort -12, a, t in descending order.\nAnswer: a, t, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2005619 is divided by 3902.\nAnswer: 3893","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 8 = -4*m, 2*m + 2*m + 5*v + 20 = 0. Let a(s) = -2*s + 2. Let t be a(-2). Let h(j) = -j**2 - 5*j + 3. Let k be h(-5). Solve -k*u = -m*u - t for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.22? (a) 0.5 (b) -0.3 (c) 0.48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 25 = -3*o. Let t be -3*1 - (-125)\/25. Suppose 0 = 3*k + t*k + k. Sort -1, k, 46, o in decreasing order.\nAnswer: 46, o, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/66728676 and 143\/350.\nAnswer: 1668216900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/946 and -53\/8514?\nAnswer: 8514","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-202)\/3)\/((-86)\/(-12) + -7). Let k = v + 1625\/4. Let 3\/4*f**2 + 3\/4*f**4 - 9\/4*f + k*f**3 - 3\/2 = 0. What is f?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4040)\/1212*(10\/(-4) + 1). Let f(d) = -d**2 - 7*d - 6. Let p be f(-4). Solve 3*g = p*g + u*y - 7, 5*g - y - 21 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 8*i + 434. Calculate j(-52).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*c - 122*c = -30 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 0 - 1)*(0*g + 3*g - 2*g) - g + 2 - 2)*(3 + 0 - 5).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 5*j**2 - 8*j + 4. Let w be o(3). Suppose w*x + 800 = 45*x. Calculate the lowest common multiple of x and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -706*c*g*o**2 + c*o**2 + 301*c*o wrt g.\nAnswer: -706*c*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 820964.8 weeks?\nAnswer: 496519511040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 divided by -2?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 132420*h**3 + 150223*h**2 wrt h.\nAnswer: 794520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12148 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -730451\/1840492 - 5\/7543. Calculate the common denominator of p and 69\/20.\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5596 = 15*z - 11*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21717 + -21657. Which is the third biggest value? (a) 1\/3 (b) u (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60\/3*(-327)\/(47415\/58)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1167827, -4671277, -10510361, -18685079, -29195431, -42041417, -57223037?\n\"Answer: -1167817*v**2 + v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 1. Suppose 0 = 2*w, -20 = -4*v - 4*w + 5*w. Let j be 2 - 2\/1 - v. What is the closest to l in -0.4, 0, j?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119505916 rounded to the nearest ten thousand?\nAnswer: 119510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1582 + 1579. What is the smallest value in -3\/109, -4, -1\/4, -1, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11407941, 22815925, 34223909?\nAnswer: 45631893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h - 887 = -869 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 69.1 + -70. Let w = k + 0.9. What is the fourth smallest value in -4, -0.1, -0.5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 29. Calculate u(0).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the second derivative of 125\/4*x**2 + 75\/8*x**3 - 55\/6*x**4 + 0 - 57\/8*x**5 - 17\/12*x**6 - x - 5\/56*x**7. Suppose l(o) = 0. What is o?\nAnswer: -5, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 32 - -8. What is the highest common divisor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1050\/(-950)*(-13 - 6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 1100530?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of x**3\/3 + 5*x**2\/2 + 3*x + 7. Let y(z) = -z + 12. What is the remainder when y(9) is divided by i(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.53 + 0.23. Let z be -3*(-9)\/(-12)*2\/(-9). Which is the closest to z? (a) -2 (b) y (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -25*s**5 - 107*s**2\/2 - 272. Find the second derivative of m(g) wrt g.\nAnswer: -1500*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 1)\/((-3)\/(-12)). Suppose -19 = -w*g + 3*x - 2*x, -5*g + 3*x = -29. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -240 = 36*a - 40*a. Suppose -5*f + a = 30. Solve -4*b + 8 = 0, 0 = 8*r - 4*r + 5*b + f for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 137 + 37. Calculate the smallest common multiple of c and -8 - -3 - (-11 - -4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i + 1\/6*i**3 + 0 - 7\/2*i**2. Suppose 27*p + p - 245 = 3*p - 24*p. Calculate b(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a millennium in decades?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*g + 3)*(202*g**2 + 733 + 1091 - 204*g**2).\nAnswer: -4*g**3 + 3648*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**3\/3 - 6*o**2 + 20*o + 41. What is the lowest common multiple of f(11) and 31?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -3*v**3\/2 - 6303*v**2\/2 + 10955325*v = 0.\nAnswer: -3950, 0, 1849","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 1. Suppose 0 = 5*k + 4*h - 10, 4*k + 0*k + 4*h = 12. What is the units digit of 5 + (12\/k)\/r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-15)\/4)*(-2)\/((-40)\/50)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17.8 + 7.9. Let m = -9.9776 - u. What is m rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r. Suppose -65 = -5*a - 2*l, 4*a + 8*l - 52 = 3*l. Suppose a = 9*g - 113. Suppose -2*m = -g - 0. Calculate f(m).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/399 and 169\/23061060?\nAnswer: 161427420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**2 - 26498874*c + 58515860272323.\nAnswer: 3*(c - 4416479)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -18116836.\nAnswer: 1\/4529209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*j + 7*j - 14*j - 3*j**3.\nAnswer: -3*j**3 - 12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes after 8:43 AM?\nAnswer: 8:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35152 is divided by 568.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -17*d**3. Calculate the remainder when 65 is divided by k(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 1)*(-o**4 + o**4 + o**5 + (-2*o**2 - o**2 + 2*o**2)*(19*o**3 + 14*o**2 - 14*o**2)).\nAnswer: -18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*t - 286520308 = 37556654. Let b = t - -22660514. Round b to the nearest one hundred thousand.\nAnswer: 12800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 352 - 75. Let r = -571\/2 + u. Calculate the common denominator of (30\/(-100))\/(-5 - 2368\/(-476)) and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (2*sqrt(24))\/sqrt(12) + 0 + sqrt(128)).\nAnswer: -10*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 847*h - 2738*h - 36885 = 99267 for h.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 7*m + 14*m = -162 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 9*o = -7*o, -18*i = 3*o + 27. Let u = -8 + 7.3. Let s = -0.3 + u. What is the second smallest value in 0, s, -3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 28, -3, 6.\nAnswer: -4, -3, 0, 6, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -2*k - 3. Let i be r(-3). Suppose -i - 2 = -5*b. Suppose 3*p - b = -4. Are p and -1 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -69*d - 274. Let i be a(-4). Let q(z) = 15*z + 13. Let l be q(-3). Sort i, 3, l in decreasing order.\nAnswer: 3, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 23 - m**2 + 0*m**2 + 0 - 4*m. Let z be a(-10). Let p = z + 66. List the prime factors of p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000036 rounded to five decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -25. Solve -s*n = r + 19, -n = r - 0 + 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2960 and 152?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5263?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 48\/(-18)*33\/(-2). Suppose -9*f + q + 55 = 0. What is the remainder when (-65)\/(-3) + 4\/(-6) is divided by f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - (-29 + 14 + 0 + -1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - i = -9 + 21, 19 = 5*z - 2*i. Which is greater: z or 0.07?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159587 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52665?\nAnswer: 3, 5, 3511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*s**4 - 12*s**3 + 12*s**3 + (-s - 2*s + 2*s)*(-6*s**3 - s**3 + 5*s**3).\nAnswer: -4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzia when four letters picked without replacement from tantiidaditznzdanz.\nAnswer: 3\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(11)*1 + 1 + (sqrt(11) - ((sqrt(11) + 1)*4)**2) - ((sqrt(528) - sqrt(528)*-1 - sqrt(528))\/sqrt(3))**2)*-3.\nAnswer: 87*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (32\/12 - 3)*1944\/(-135). Suppose -64\/5*b - 134\/5*b**2 + 24\/5 + q*b**3 = 0. What is b?\nAnswer: -2\/3, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -13 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -4*q + 3*p, -89*q - 2*p = -87*q - 8 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.06, 0.5, -4, -3\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**5 + 0*b**5 + 0*b**5 + (-2*b**2 - 3*b**2 + 3*b**2)*(-5*b**3 + 2*b**3 + b**3).\nAnswer: 6*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**2\/8 - 252015*w\/4 - 63511560225\/8 = 0.\nAnswer: -252015","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-30 + 26 + 65)*(63*b**2 - 239*b + 239*b) in the form z*b + j + q*b**2 and give q.\nAnswer: 3843","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u = -2*b + 8, -b + 9 - 7 = u for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (171\/76 - 5\/4)\/((-4)\/(-600)*-5)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 4*j - 1060 = 0, -6*c = -2*c + j - 1426. What are the prime factors of c?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80022052.\nAnswer: 2, 11, 971, 1873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 136 - 5?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-800)\/(-320)*174\/(-15)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10249 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 PM and 8:48 PM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - p**2 - 3*p - 2. Let k(r) = -3*r**3 - 2*r**2 + 7*r + 10. Calculate -k(h) - 4*v(h).\nAnswer: -h**3 + 6*h**2 + 5*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 64 = -4*w, 0 = -2*h + h - 3*w - 12. Let x be 8*-5*h\/10. Let m = x + 60. Calculate the greatest common factor of m and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**5\/10 - y**4\/6 - 56*y**3\/3 + 241*y. Find p, given that r(p) = 0.\nAnswer: -7, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t**28)\/(t\/t**(5\/6))*(t*t*t\/(t**(1\/9)\/t))**(2\/9) assuming t is positive.\nAnswer: t**(4973\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {d: 1, j: 4, o: 6, h: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 2*w + 828. What is the highest common divisor of 46 and w?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 0 - 2)*(-1 + 2 - 2) - 2 + 2 + 2)*(8*y**2 - 11*y**2 + 22*y**2)*(0*y**3 + 4*y**3 - 3*y**3).\nAnswer: 57*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*j = 164, 0 = 2*z - 0*z - 5*j - 159. Let w = z + 562. What is the tens digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00010145 rounded to 6 dps?\nAnswer: -0.000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13431 = -325*l - 419*l + 9362 + 33751 for l.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 159755 is divided by 159731.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i + 24*i = 3*h - 67, -2*i - 5*h = -129. Let f(t) = -3*t**2 + i*t + 5*t**2 - 17*t - 35*t. Let p(q) = -41*q - 2. What is p(f(x))?\nAnswer: -82*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - 39. Let n = 66 + q. Suppose n*v - 15 = 0, -2*d - v = -4*d + 105. Calculate the highest common factor of 378 and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -2, 313.\nAnswer: -4, -2, 4, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -218447 - -223?\nAnswer: -218224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 115 (b) 0 (c) -2\/6865\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1138*m**4 - 1 + 1098*m**4 + 11*m + 0*m to o*m**4 + c*m**3 + a*m + q + f*m**2 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wooouoluoowooooqow. Give prob of sequence uolw.\nAnswer: 11\/12240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**3 - 23*p**2 + 22*p + 59. Determine o(-24).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uhhgzfzfq. What is prob of sequence qhgf?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*f + 20, -d = -3*f + 1 + 4. Let l(q) = q**2 - 4*q - 9. Let b(j) = 2*j**2 - 6*j - 14. Calculate d*b(m) + 8*l(m).\nAnswer: -2*m**2 - 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*b - 38, -2*l = b + l. Calculate the common denominator of -89\/22 and ((-262)\/b)\/(6\/3).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 4\/(-3))*-12. Suppose l + 10 = v - 6*v, 0 = 4*v - 5*l + q. Is (-3)\/(9\/(-33)) + v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 45*v - 547. Let i(b) = -54*b - 549. What is -5*i(c) + 6*x(c)?\nAnswer: 6*c**2 - 537","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2.40646233 - 0.02437\nAnswer: -2.43083233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/10 + 186816\/40 + -4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 805445, 1612191, 2418939, 3225689, 4032441, 4839195, 5645951?\n\"Answer: t**2 + 806743*t - 1299","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*d + s + 84, 4*d - 112 = 4*s. Suppose 72 + d = -4*g. Calculate the remainder when 27 is divided by (-2 - 16\/(-10))*g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - o + 5*o + 4 - 2*o - 4 + (0*o + 13*o - 3*o)*(-5 + 0 + 4).\nAnswer: -7*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + (-19760)\/(-35) + 8\/(-14). Is r smaller than 568?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, 7, 38, 71, 106, 143?\n\"Answer: n**2 + 26*n - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 38777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 30. Suppose -16 = -t*g + 2. What is the remainder when g is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -805 - -804.7. What is the third smallest value in -34.8, b, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*l - 3*m, -5*l - 6 = -0*l + m. Let a(w) be the third derivative of -w**6\/20 + w**4\/24 + w**3\/3 + 2*w**2. Is a(l) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (55\/50)\/((-330)\/(-75)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 98*u**4 + 448*u**3 - 258*u**2 - 248*u - 40 = 0.\nAnswer: -5, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 138 in 2\/9, -0.1, -2\/5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344 and 100018.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 27183.42l in millilitres?\nAnswer: 27183420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -387138 + -14613169.\nAnswer: -15000307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1871*q + 1728*q - 2956 - 1620 = 0 for q.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2438*t - 4869*t + 2436*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 10526550551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**3*b)**(8\/5) assuming b is positive.\nAnswer: b**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**2 - 1 + 1 + (5*t + t - 4*t)*(-3*t + 0*t + t) - t**2 - 2*t**2 + t**2 + 7058*t - 7058*t + 54*t**2)*((5*t + 2*t - 5*t)*(-13 + 2 + 6) - t + 3*t - t).\nAnswer: -441*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gee when three letters picked without replacement from eqgqqdqqggqeqe?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n + 60. Let c = 2965 - 2987. Calculate y(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - q - 100. Suppose -75*i + 97*i = 44. Let b be (-156)\/(-42) + (-3)\/(-42)*4. Solve 3*n - b = -p, -i*p = 2*p + q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2 - 8*o - 8 + 22*o - 8 - o**2. Calculate the remainder when 17 is divided by t(12).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20493\/429 + -51)*(-26)\/16\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.895 + -1.495. Which is greater: w or -2.32?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -370, -630, -688, -436, 234, 1430, 3260, 5832?\n\"Answer: 18*u**3 - 7*u**2 - 365*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3561 + -2257. Calculate the greatest common factor of x and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -124*j - 2829 = -127*j. Suppose -3*h + j = -1652. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584221.19 days in weeks?\nAnswer: 83460.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 44513759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 8 - 1. Let u be (-10)\/5 - (v + -2). Let k = u + 8. Put -1, -4, k in ascending order.\nAnswer: -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 533*v**2 - 2*v + 1. Let h be q(1). Let s be (-5 - 5)*(-1)\/2. Suppose s*o - h = -57. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3165 divided by 5?\nAnswer: 633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -5) + -20 + 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((-15)\/27*(-15)\/100).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3627 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: What is the second derivative of -1 - 105*a + 110*a**4 + 8 + 82*a wrt a?\nAnswer: 1320*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.2 * 27.7.\nAnswer: -254.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g**2 - 2*g + 4. Let q(j) = 1784967*j**2 - 4 + 5*j - 1784976*j**2 - 7. What is 6*q(c) + 17*y(c)?\nAnswer: -3*c**2 - 4*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5\/776, -1\/10, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 12:29 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (70 + 3859 + 231 + 1381)*(-3*v**2 + 0*v**2 + 2*v**2) to p*v + c*v**2 + h and give c.\nAnswer: -5541","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddgg when four letters picked without replacement from qqqddgdddddddddgdd.\nAnswer: 13\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in fourty-five quarters of a milligram?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4710170 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -10.54\nAnswer: 11.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(704) + -5)**2.\nAnswer: 160*sqrt(11) + 2841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -127*l**3*r**3 - 122*l**3*r**2 + 3088*l**3*r - 4980*r**3 wrt r.\nAnswer: -762*l**3 - 29880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 3*u**2 - 9. Give b(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 2, -2432, -4, 1 in decreasing order.\nAnswer: 2, 1, -4, -11, -2432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + 2*v)*(14 + 0 + 4)*(-3 + 3 + 5*v)*(-3*v + 2*v**3 + 3*v).\nAnswer: 360*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/(-34)*(5 - 15\/9)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -86d - -5?\nAnswer: -868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 17*k = -12*k + 5, -5*c - 3*k + 13 = 0. Suppose -5*n - 4*h + 443 = 0, 108 + 180 = 3*n - c*h. What is the remainder when n is divided by 33?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, -2, -4.\nAnswer: -22, -4, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1564, 1770, 1976, 2182?\nAnswer: 2388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-64*p - 14*p + 19*p)*(2*p**2 + 4*p**2 - 5*p - 3*p**2) - p**3 - 1 + 1 to r*p + k*p**2 + n + c*p**3 and give c.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2709*r**5 - 3*r**2 + 611*r - 15. Let z(x) = 2709*x**5 - 3*x**2 + 612*x - 18. Let j(b) = 6*k(b) - 5*z(b). What is the third derivative of j(l) wrt l?\nAnswer: 162540*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*m - 24, -m + 2*m - g - 9 = 0. What is the nearest to 1\/3 in 0.4, m, 4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/7? (a) 991795 (b) 3 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 706, -45, -2, -4, 2 in ascending order.\nAnswer: -45, -4, -2, 2, 706","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 29438.9 and 1087.\nAnswer: 30525.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-6) - 11\/(-6). Suppose 4*k + 7 = -4*z - 1, -q*k - 5 = z. Let c(t) = 5*t. What is the units digit of c(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-26)*(24\/90)\/((-34)\/85)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -24760, -98933, -222554, -395623, -618140, -890105, -1211518?\n\"Answer: -24724*m**2 - m - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-31)\/(-2))\/(110\/(-60) - -2) is divided by 27.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*o + 16633 = 544510 + 124433. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17319 a multiple of 564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1733, 1734, 1735?\n\"Answer: u + 1732","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 10*m + 1. Let z(r) = r**2 - 10*r + 10. Let o be z(9). Determine h(o).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 greater than or equal to -71?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -5. Let q = 14\/5 + y. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*l - 56 - 184 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.45273 decades to millennia.\nAnswer: 0.2745273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 - 5*p**2 + 4. Let c be f(-6). Calculate the highest common divisor of 10 and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52276 - -30712. Is k\/(-10) - 27\/(-45) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n**2 - 46*n - 22. Let p be h(28). What are the prime factors of 4*9\/(27\/p)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k - 1 + 1 - 3*k + 2*k + 7*k + (-k + k + 2*k)*(9 + 13 + 1).\nAnswer: 51*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1601909960 divided by 916?\nAnswer: 1748810","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (30 + 2)*5\/(60\/354).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10050 (base 8) to base 6.\nAnswer: 31052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-300)\/(-200))\/(1 + 31\/(-4)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + 1 - ((sqrt(2) - sqrt(2)*2) + -2) - -4*2*sqrt(450)\/sqrt(9)) + 3)**2 + -1.\nAnswer: 588*sqrt(2) + 4837","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - v**2 - 2*v + 4. Let m be y(1). Sort 0, -5, -43, m.\nAnswer: -43, -5, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 768, 801, 838, 879, 924, 973, 1026?\n\"Answer: 2*g**2 + 27*g + 739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 8*j**2 - 8*j - 3. Let b be x(9). Suppose b*m = 78 + 72. What are the prime factors of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) - (sqrt(117)*-1 + sqrt(117)) - sqrt(117) - sqrt(117))*5 - sqrt(117) - sqrt(117))\/(sqrt(18)\/(sqrt(2)*-2) - sqrt(9)).\nAnswer: 14*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24297c5 (base 14) to base 4.\nAnswer: -1002002322201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -4*i + 50. Let w be d(12). Suppose -2*g + 2 + 10 = 0. Let p be (w\/g)\/(4\/96). What is the greatest common factor of p and 32?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 5*a + 5 = 0, 2*o - 2 - 3 = -5*a for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -217*q**2*t + 234*q*t + 1307*q - 116407097*t wrt q.\nAnswer: -434*q*t + 234*t + 1307","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (13 - 25) + (13 - (3 + -10)) + (-10 - 1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(((-16)\/6)\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/1 - (32 + (-7224)\/196).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q**2 - 7. Let f(h) = 7*h**2 + 6. Give 7*f(w) + 6*n(w).\nAnswer: 7*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 3880846?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -3. Suppose 0 = -x + 4, -2*j - 5*x + 30 = a*j. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9.9 in 3, -1\/4, -44, 13?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - 0*(11\/(-2))\/11. Solve -3 = z - y*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-32)\/m**(-2\/17)*m**(5\/3)*m*m**(-8\/3))**(-2\/5) assuming m is positive.\nAnswer: m**(1084\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 54 = 3*g, 4*g + 3 = u + 6*g. Solve -3*b + 4*p - u = 0, 2*p - 9 = -3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 o when three letters picked without replacement from {o: 1, f: 19}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 0.2, -61, -0.125.\nAnswer: -61, -1, -0.125, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -99418 or -99178?\nAnswer: -99178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (0 + (-10 - -4) - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72\/13*w - 28\/13*w**3 + 0 - 2\/13*w**4 - 98\/13*w**2 = 0. Calculate w.\nAnswer: -9, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*s**3\/3 - 316108*s**2 + 1896676*s\/3 + 948332 = 0. Calculate s.\nAnswer: -237083, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.6840545 to four decimal places.\nAnswer: -3.6841","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7 + 2*k**2 - 18 - 17 + 4 to h*k + i + p*k**2 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 156462747?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 594?\nAnswer: 8316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -7*c + 2. Let t be d(-2). Let z = t - -2. Is 2\/(z\/39)*15 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*n - 44*n = 32. Suppose n = -14*z + 12*z. Is z\/6*234\/(-4) + 1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6*p**2 + 7*p - 5. Let q(g) = -g**2 + g - 1. Let d = -132 + 60. Let k be 2\/10 - (d\/40 - 3). Determine k*q(y) - l(y).\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 78840 a multiple of 292?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 39559873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 + 3)\/(4\/1). Solve l*x + 9 = 3*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -68941 + 19?\nAnswer: -68927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 0)\/((-7)\/(-28)). Let n be 3*(-1 - 0) + 51. What is the highest common factor of n and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 3*n**3 + 985*n**2 + 306*n - 7227. Give z(-328).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.2805 from -0.0819.\nAnswer: -0.3624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0289 in -1\/7, 34, 2\/3?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 147883 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 157 is divided by -12*(-4)\/18*6.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.19? (a) -0.08 (b) -35 (c) 0 (d) 4 (e) 1040 (f) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -1\/156?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*s - 3*s + 2*s + 567 - 2*s - 567 + (-4 - 1 + 4)*(-s + 2*s + 2*s).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 - 11*d**2 - 15*d + 47. Calculate s(12).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21962 + -46901. Let j be 7*(-1 - -1 - -144409). Let c = o + j. Round c to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b + -717b262?\nAnswer: -717b253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 4*i, 10*i - 4 = 3*z + 9*i. Let y(c) = -c**2 + 4*c + 3. Calculate y(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.19 and 0.140882.\nAnswer: -0.02676758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*y + r, 6*y - y = -r + 10. What is s in -1 + y + 0 - s**2 = 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -22. Let o(f) = -5*f + 8. Let r be o(n). Suppose 5*x = -5*i + 20, 4*x - i - 18 - r = 0. Is x a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15 and 28335.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -j - 3*j. Suppose -24 - 34 = -2*x - v, 42 = j*x - 3*v. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5 = -3*g, 2*h + 2*g + 2*g = 8. Let a = h + 6. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79025, 79094, 79189, 79292, 79385?\nAnswer: 79450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -319, -3745, -12433, -28819, -55339, -94429, -148525, -220063?\n\"Answer: -406*g**3 - 195*g**2 + g + 281","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2558301 and 11697?\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7*h**2 - h*l + 20*l wrt h.\nAnswer: 14*h - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t - 400. Calculate s(-41).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -29*c**3 + 4*c**2 + 6*c - 4. Let d(s) = 30*s**3 - 5*s**2 - 7*s + 5. Let y(a) = 5*b(a) + 4*d(a). What is the second derivative of y(g) wrt g?\nAnswer: -150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/220 and -41\/114305400.\nAnswer: 114305400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 11508.1 * 0.057\nAnswer: 655.9617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - y**2 - 2. Let w(l) = l**3 + l**2 + 1. Let n = -6 + 14. Suppose -c = c + n. Give c*w(k) - 2*s(k).\nAnswer: -2*k**3 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3018 divided by 6\nAnswer: -503","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 PM and 6:10 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2063 + -1843. What is the greatest common factor of r and 770?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5 + 4 = c, 3*c - o = 13. Suppose 3*s + 2*k = 4*s - 65, -c*s = -2*k - 341. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - h - 2*h)*(67*h**4 - 112*h**4 + 77*h**4) + 0*h + 0*h - 2*h**5.\nAnswer: -66*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 40 = -3*t, 20 = 6*q - 2*q. Suppose -3*g + 3*m + m = 13, 2*g + 4*m = -22. Let a = g - -25. Calculate the lowest common multiple of t and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 76*n + 707. Calculate d(-87).\nAnswer: -250","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j + 5*j - 9*j + 13*j**2.\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 2, 5, 10, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*r - 15*r**2 - 9*r + 4*r.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/18*15\/(-840)*-28.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 92 + -47 - ((-7 - 10) + 7 + 8)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 4*j**3 - j**2 - 2. Let l be q(2). Suppose -2*u = -3*u - z + 3, 2*u - 2*z = l. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.03025 * -308.2.\nAnswer: -9.32305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2304) - (3*sqrt(2304) - sqrt(2304)))\/((sqrt(968) - sqrt(968)*-2) + sqrt(968) - sqrt(968)).\nAnswer: 24*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (88 - 135 + 101)*(-s**2 - 2*s**2 + s**2 + 3*s).\nAnswer: -108*s**2 + 162*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**4\/21 + 48*f**3\/7 + 40*f**2\/3 = 0.\nAnswer: -70, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94 + -1 + (-3797 - -3785)?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**5\/10 + 33*d**2 + 3. Let y(j) be the third derivative of 31*j**5\/60 - 114*j**2. Give y(g(o)).\nAnswer: 1116*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 2*o + 4 = 0, -o = 5*j - 3*o + 10. Is j\/(-4)*99732\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2)*a**1*((a\/(a\/a**(-2))*a)\/a)\/(a\/(a\/(a*(a\/(a**(-2\/3)\/a*a))\/a)*a)))\/((a*a**2\/a)\/a**2)**14 assuming a is positive.\nAnswer: a**(-11\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -383185 divided by -98?\nAnswer: 383185\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 3*k = 0. Let x(p) be the second derivative of -1\/6*p**3 + 3*p**2 + 1\/12*p**4 - 16*p + 2. What is x(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4563.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f + 3. Let x(l) be the second derivative of 5*l**3\/3 + 9*l**2\/2 - 992*l - 1. What is -7*m(b) + 2*x(b)?\nAnswer: -b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 13 = -9. Let c(m) = -m**2 - 2*m + 1. Let a be c(-3). Let v be (a - -1)*s + 4. Solve t = v*t + 20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwxxvvwivxxvvwvxivvv. What is prob of picking 2 w?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*s**3 - 105*s**2 + 117*s - 27 = 0 for s.\nAnswer: -3, 3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -529100 rounded to the nearest ten thousand?\nAnswer: -530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3634998 divided by -1\nAnswer: -3634998","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + ((sqrt(77) + sqrt(77)*-2 - sqrt(77))\/sqrt(7))**2)*-3.\nAnswer: -756","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17629975, -35259939, -52889889, -70519819, -88149723, -105779595?\nAnswer: -123409429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 118, -1\/4, 1432?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -505, -1009, -1513?\n\"Answer: -504*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a + a**5 - 3*a**5 + 5*a**5 - a**5 wrt a.\nAnswer: 40*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 + -1. Suppose 10 = q*d + 4. Suppose d*j = 4 - 0. Solve -4*f + y - 1 = 19, -j*f - 3*y = 10 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -2, -1\/14, -0.5, 1\/8, -357?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f + 4*f + 1225 = 0. Suppose -4*w + 3*r = -f, w = r + 4*r + 74. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/2660 and -83\/100?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -19643, 0.4 in decreasing order.\nAnswer: 27, 0.4, -19643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 2*k = 7*k - 10, -5*t + 4*k = 8. Suppose t = -7*s + 2*s + 35. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + -15. Let c = o - -38.2. Let v = 0.041 + 0.459. What is the fourth biggest value in c, -0.2, v, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 8*x + 35. Let m be c(-7). Suppose -43*u = -m*u - 21*u. Let h(q) = -q - 7. Give h(u).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ez when two letters picked without replacement from {e: 1, i: 4, z: 4, s: 1, l: 1}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 - -22 - -3) + 1. Let u be b + 0*(-2)\/(-6). Let o(j) = -u*j**2 - 44*j + 44*j. Let s(f) = -2*f. Calculate o(s(q)).\nAnswer: -100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -8840.4\nAnswer: 8840.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -1.6 (b) 3 (c) -2 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12025 (base 12) to base 13.\nAnswer: b042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/(a*a**(-1\/7))*a*((a**(-1\/4)*a)\/a)\/a*a**(2\/7)\/((a*(a\/((a*a\/(a**(-1\/2)\/a))\/a))\/a)\/a) assuming a is positive.\nAnswer: a**(103\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 4*u = -20. Let w = 378 + -340. Calculate the remainder when w is divided by u.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 - 8*g**2 + 6*g**2)*(-3*g + g + 0*g)*(0*g + 3*g + 7*g).\nAnswer: 140*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14859 - 14857. Let x(y) be the third derivative of 24*y**v + 0*y - 5\/3*y**3 + 7\/30*y**6 + 0*y**5 + 0 + 0*y**4. What is the derivative of x(n) wrt n?\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -430.12 - -0.16?\nAnswer: -429.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.49*-0.164848.\nAnswer: -0.24562352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Suppose -308*o + 115*o - 165*o = -1790. Sort o, 1, b, -3 in ascending order.\nAnswer: -3, 1, b, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 25553551 - 5?\nAnswer: 25553542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/4*195\/(42705\/146).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21617, 43199, 64745, 86255, 107729, 129167, 150569?\nAnswer: 171935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 23796\nAnswer: 118980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/1 + 1510 + 20\/10. Let c = -318 + n. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, 5, -5146?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/35)\/((486\/(-8505))\/((-1)\/(-2))).\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 275 divided by 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9199\/2, 6, -0.6 in descending order.\nAnswer: 9199\/2, 6, -0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ckxcfsssrsskcsscccss. What is prob of sequence xfr?\nAnswer: 1\/6840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:35 PM and 1:36 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 6 + (1 - 2 - 1)*(3 + 0 - 5))*(-38*t + 35*t + t**3 + 9*t**3) to the form u*t + b*t**3 + f + x*t**2 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**2 + j - 5. Determine r(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-4 - -24) - -15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2. Let t(q) = q - 1300. Calculate -4*i(v) - t(v).\nAnswer: -v + 1308","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.05427 - -9433529.\nAnswer: 9433529.05427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -680ca0?\nAnswer: 680ca6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n + 2*n + 6*n - 5*n**2 wrt n.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-56)\/(-35)*5\/2. Solve -c*d - 9 = -b, -2*d = -d - 3*b - 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -2\/9 (b) 0.02 (c) -1.6 (d) 0.3 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -q**4\/24 - 6*q**3 - 262*q**2. Calculate o(0).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (2 + 1 + -4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.938 + 0.062. Let g = 9402 + -9397. Which is the nearest to -1\/3? (a) 2\/11 (b) 1\/3 (c) g (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*c + 6 = -4*l + 9*c, 2 = c. Let g(z) = -2*z + 1. Give g(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**2 - 3 + 4 - 5 + b. Let g(q) = q**2 + 2*q - 18. Let t(n) = 6*n - 45. Let y(a) = -2*g(a) + t(a). Give 5*d(v) - 2*y(v).\nAnswer: -v**2 + v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 126 = -a + 6*a, -4*a = 5*u - 114. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.25 * -0.7.\nAnswer: 0.175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4385 greater than or equal to 4387?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9278.\nAnswer: 2, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u. Let f(q) be the first derivative of q**2 - 16. What is s(f(a))?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/303 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**2 + r**2 + 3*r**3 - r**3 + 0*r**3 + 2*r**3 + (2*r + r**3 - 2*r)*(-1 + 4 - 1) + 3*r - 3*r + 2*r**3 - 3*r**3 + 2*r**3 - 2*r**3.\nAnswer: 5*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 + -107. Are 56\/5 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 56*o - 47*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 160 and 1790?\nAnswer: 28640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 314 + -303. Let n be ((-44)\/112)\/l*(-6)\/12. Which is bigger: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 4\/7, 1\/6, -52 in descending order.\nAnswer: 4\/7, 1\/6, -6, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, a: 2, t: 7}. Give prob of sequence aat.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = s + 4*s + 17, 5*b + 15 = s. Is 4\/(-20)*66*s a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 49 = 3*q + 3*r, -r + 19 = 2*q. Let k(w) be the first derivative of q + w + 1\/2*w**2. Calculate k(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3 - 5 + 8*d + 5. Let t(x) = -7*x - 3. Suppose 3 - 17 = 2*a. Let z(u) = a*t(u) - 6*b(u). What is z(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -20, -49, -80, -113?\n\"Answer: -m**2 - 26*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 3:24 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 3557*g**3 + 1198*g**3 + 1164*g**3 + 1197*g**3 + 5.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1427 (b) -70 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (0 - 4) - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/4 greater than 618165\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -y - 12, 0 = -l - y - 3*y - 14. Suppose 0*n - 1262 = -l*n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18953 - 14993. What is the lowest common multiple of 4356 and x?\nAnswer: 43560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -470\/77 + 44\/7. Solve 0 + 2\/11*o - d*o**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-7) + 228\/84. Solve 0*q + a = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -1, 23 in descending order.\nAnswer: 23, 2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116875.\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 + 0*g**3 + 4*g**3)*(-3*g**2 + 7*g**2 - 3*g**2 + 3 - 3 - 2*g**2 + (g - g + 2*g**2)*(1 - 2 + 3) + g - g + g**2).\nAnswer: 16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -79349, -79239, -78949, -78389, -77469?\n\"Answer: 15*i**3 + 5*i - 79369","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*n - 20*n = -12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*i - 3*q + 5, -2*i - 2*q = 18. Let s = -3 - i. Solve b = -s*b + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -118265 less than -18619?\nAnswer: 99646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of k**4\/12 - k**3\/3 + k**2\/2 - 2*k + 4. What is u(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1200 = 47*a + 53*a. Let z(f) = -3*f**2 + 35*f + 18. What is z(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -707 + 714 - (1 - 38).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29400402 divided by 6.\nAnswer: -4900067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -592099 divided by -51.\nAnswer: 592099\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 9 = 2*g + 2, 2*s = -18 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2498154367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1100733.28 rounded to the nearest 1000?\nAnswer: 1101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 126 = -6*n. Let t be ((-4)\/n)\/(9\/(-21)). Let u = -4.08 - -0.08. Which is the second smallest value? (a) t (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the first derivative of -x**4\/4 - 11*x**3\/3 + x**2\/2 + 8*x - 15. Let y be z(-11). Which is greater: y or -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.9 + 1.1. Let v = 17 + -16. Which is the second smallest value? (a) -5 (b) v (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 15 = -1. What is the third derivative of -2*b**4 + 7*b**s - 7*b**4 - b**2 wrt b?\nAnswer: -48*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggsgsss. Give prob of sequence sgg.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -545 = 189*f - 164 + 753. Let x(d) = -d**2 - 27*d - 127. Give x(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*b - 2*b + b)*(0 + 0 + 2*b) + b**2 + b - b - 6*b + 643 + 27*b**2 - 645 + 4*b)*(-4*b**3 - b**3 + 4*b**3).\nAnswer: -26*b**5 + 2*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 1. Suppose 5*v - 10 = g, -5*v + 4*g - 13 = -38. Let k be d(v). Solve -5*l + 3*p = 15, k = 3*l - l + 5*p - 25 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -20*i**2 + 21*i + 200. Let s(g) = -9*g**2 + 9*g + 100. What is -4*m(p) + 9*s(p)?\nAnswer: -p**2 - 3*p + 100","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 1657*l**3 + 4*l**2 + 5*l + 10. Let q be h(-8). Let y be (-3)\/(12\/q)*4. Let x = y + -1868158. What is x rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j**3 + 88*j - 88*j + 95*j**3 + 54*j**3.\nAnswer: 142*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkgg when four letters picked without replacement from {k: 7, g: 5, p: 4}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 12*z**2 + 252*z + 432.\nAnswer: -3*(z - 12)*(z + 2)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-571*g - 166 + 285*g + 288*g)*(0 + 1 - 2) in the form i + m*g and give i.\nAnswer: 166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -874 (base 12) to base 6.\nAnswer: -5424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (48\/28)\/((-2)\/(-217)) - -5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 229629606 and 10?\nAnswer: 1148148030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1191.\nAnswer: 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 84 - (-172 - -84 - -151)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.36 + 28.36. Let u = z - 27.8. Which is smaller: u or 7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 36*a**2 - 7*a - 4. Is w(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -2984642?\nAnswer: 5969284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide (14 - -476)\/(-1*(0 - 1))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-75)\/15)\/(118\/(-354))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 6 + 2)*(-1 + 4 + 1)*(43*c**2 - 90*c**2 + 39*c**2) + 64 - 64 - c**2 to y + x*c + n*c**2 and give n.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 16*n**2 + n - 2. Let y be f(1). Suppose 4*t - 13 = y. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*a = 38*a + 4. Let t = -819\/368 + 44\/23. Is t >= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(7) + 1 + sqrt(343)*2 + -4.\nAnswer: -3 + 19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -232*m**3 + 231*m**3 + 0*m**2 - m**2 wrt m?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166308227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1, -15, -55, -131, -255, -439, -695?\n\"Answer: -2*i**3 - 2*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 822 divide 15447024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**5\/20 - 5*y**4\/12 + y**3\/2 - 2*y**2 - 7*y + 1. What are the prime factors of m(-6)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 - 51*i**2 + 94*i**2 + 2*i - 65*i**2 - 4.\nAnswer: -22*i**2 + 2*i - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**3 - 2*k**2 + 1 + 4*k**2 - 9*k**2 - 2*k + 3*k**2 + 2*k**4 - 6*k**2 to the form d*k**2 + w*k**3 + o + m*k**4 + u*k and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 + -1. Is (x + 0 + 2)*-46 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (sqrt(66)*-1 - sqrt(66)))*1*-6)\/(sqrt(600) + (sqrt(600)*-1 - sqrt(600))*4) + -2.\nAnswer: -2 + 9*sqrt(11)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.2, -133, -2\/3, -106?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from xxkxydxxxxdxx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(2\/145)))\/g**(-2))\/((g**(3\/22)*g*g)\/g**(2\/17)) assuming g is positive.\nAnswer: g**(-267\/54230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*f + 85*f - 2 - 104*f)*(-4*f + 5*f + 0*f)*(-3*f**3 + 5*f**3 + f**3).\nAnswer: -24*f**5 - 6*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 2440 = 21*a + 42*a for a.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -88 + 111. Let a = r + -19. Suppose -a*o + t + 541 = 0, -4*t + 0*t = 5*o - 671. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u. Let f = 36 - 23. Calculate the remainder when g(-6) is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4152, 0.1, 4160, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 9:36 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - -1) + -7 + (-11 - (-1 - (-13 - -3)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of 2003*m**2 + 12*m + 33. Let j be o(-2). Let f be (j\/12)\/(1\/(-2715)). What is f rounded to the nearest one hundred thousand?\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -5.15. Let i = -541.8879981 - -541.738. Let z = b - i. What is z rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of ((-240)\/75)\/(2\/(-15)) and 126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 46 - -296. Suppose -5*o = -2*o + c. Let m = -78 - o. Calculate the highest common divisor of 18 and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8 and 133666488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/(-4)*(-30)\/35. Let a = -38\/21 - g. Let a*m**5 - 1\/3*m**2 + 0 - 1\/3*m**3 + 0*m + 1\/3*m**4 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.35102cm in meters?\nAnswer: 0.5435102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 4 = -w. Suppose -5*j + 2*c = -w, -4*j = -3*c - 16 - 0. Let t(z) = 4 - 3 + 5*z + 1 - 7*z. Let g(b) = b - 1. Determine j*t(s) + 7*g(s).\nAnswer: -s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000384964413 rounded to five decimal places?\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 6:00 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3094*l - 3105*l + 21373 = 0. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-54)\/3)\/(12\/(-3018)). Suppose c - 3*j = 901, -2*j - 2*j = -5*c + n. Suppose -c = -v + 58. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(96)\/sqrt(2) + -2.\nAnswer: -6 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24 + 3520450013?\nAnswer: 3520450041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - p - p)*(67*p**2 + 3388*p**2 + 2470*p**2)*(4*p**2 - 6*p**2 + 3*p**2).\nAnswer: 11850*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 6*p**2 + 6*p - 17. Let x(c) = c**2 + c. Calculate j(o) - 6*x(o).\nAnswer: o**3 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -2, 0, 11, 1.\nAnswer: -2, 0, 1, 9, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 - 20*p**2 + 23*p + 14. Let v be k(-11). What is the closest to -2 in -8, 2\/21, -2, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 * 85\nAnswer: 595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b - 5. Let f be z(5). Let r(g) = 0 + 17 - f + g. Let w(j) = -3*j + 10. Let d be w(5). What is r(d)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 64*c + 26. Let t(g) = -9*g + 1. Let d(y) = -m(y) - 6*t(y). Let x(j) = j. Calculate x(d(u)).\nAnswer: -10*u - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -238408 - -43?\nAnswer: -238375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1272)\/(-9) - 1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 228\/(-105)) + (-22)\/(-55)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r = 12*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - 4.2. Let b = x - -5.6. Let u = 1 + -1. What is the second smallest value in u, -2, b?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(-u**4 - 2*u**4 + 2*u**4) + 206*u**4 - 122*u**4 - 990*u**4 + u - u - u**4.\nAnswer: -905*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 40\/6 - (-2)\/(-3). What is the common denominator of 2\/k - (-40)\/(-96) and -55\/16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 5*q**2 + 5*q + 4. What is h(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25152902*u - 2*u**2 + 25152902*u.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**3 + 3*q**2 + 2*q. Does 20 divide r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1010034776?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 14) to base 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 3 + 1 = 2*m, 0 = -3*m - 3*w + 30. Is 3 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12826 is divided by 552?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5 - 62*r**2 - 224\/3*r + 41\/3*r**3 + 29\/3*r**4 - 32\/3 = 0. What is r?\nAnswer: -2, -1, -1\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.067 - -5.667. Let s = z + -0.6. What is the nearest to 1 in s, -2\/3, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven quarters of a tonne?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -31*b - 950. Let u be l(-28). Put u, -3, -5 in increasing order.\nAnswer: u, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/59244 and 37\/32.\nAnswer: 473952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 2\/869985?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-57855)\/(-9918)*(-6)\/56?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84725983.\nAnswer: 84725983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 + -53?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 187505954?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -539, -993, -1449, -1901, -2343, -2769?\n\"Answer: o**3 - 7*o**2 - 440*o - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - -3. Let d(j) = j**3 + 8*j**2 - j. Let l be d(-8). Differentiate -x + y - 3*x + x + l*x with respect to x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4))**(5\/4)\/((y**(-3\/7)*y)\/y**(-7)) assuming y is positive.\nAnswer: y**(-813\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -30*u**5 + 103*u**2 + 2*u - 676.\nAnswer: -600*u**3 + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 0, 4*z + 0*z - 2*o - 4 = 0. Let r be 56\/6 + z\/(-3). Suppose -4*m = -r*m + 55. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14932\/119 - -880\/7. Solve -i + 8\/17*p**3 + 0*p**4 - 2\/17*p**5 + 4\/17*p**2 - 6\/17*p = 0 for p.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 2*p + 1)*(2 + 2 - 3) + 2*p - 5*p + 2*p)*(-p + 2*p + 4*p).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 14*j - 10. Let n(a) = -a + 1. Let v(d) = 10*n(d) + s(d). Determine v(-3).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 600*z**2 - 15*z + 18. Let b be a(4). Suppose 16*r = b + 8986. List the prime factors of r.\nAnswer: 19, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 116\/(-14) - (-2)\/7. Let s = -4 - a. Suppose -49 - 31 = -s*b. Solve 5*t = t + b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 197994 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 3*c - 15. Suppose 1397 - 1409 = -6*n. Suppose 0*t = 4*t + c*k - 239, -n*t - 5*k = -107. Does 24 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 184 and 460.\nAnswer: 920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -5*v + 425. Calculate the remainder when 202 is divided by v.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -58980 not equal to -58981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.5+2842.3\nAnswer: 2842.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a microsecond in nanoseconds?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15, 30, 45, 60, 75?\n\"Answer: 15*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, a: 5, m: 4}. What is prob of sequence aa?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 80\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22536*n**3 - n**2 - 47272*n.\nAnswer: 135216*n - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 124 = -5*p, -2*p = 2*h - 7*h + 68. Let n = p + 22. Let c = n + -6. Round c to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6330, -6201, -5976, -5649, -5214, -4665, -3996?\nAnswer: -3201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4708*q - 4680*q + 871 - 87 = 0 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 times -17?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(68)\/sqrt(4)*-1.\nAnswer: -sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/8 - (-271695)\/7368.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 3, 2\/9, -4, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 19*j**2 + 40*j - 45. Let u be f(-21). Which is smaller: -29\/7 or u?\nAnswer: -29\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1789661?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 66 = -13*q. Let i(h) be the third derivative of -h**5\/60 - 5*h**4\/12 - 4*h**3\/3 - 149*h**2. Give i(q).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of i**7\/126 - 2*i**6\/15 + 19*i**5\/30 - 13*i**4\/9 + 11*i**3\/6 - 4*i**2\/3 - i + 7. Let n(g) = 0. What is g?\nAnswer: 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 275, 272, 269, 266?\nAnswer: 263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3, -16, -77, -204, -421, -752, -1221, -1852?\n\"Answer: -4*b**3 + 3*b**2 + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = w**2 + 8*w + 2. Let f be z(-10). Suppose 3*r = r + f. Suppose 25 + r = 2*n. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 1. Suppose 0 = 15*p - 19*p + 16. Let t(y) = y - 2. Let i(s) = p*n(s) + t(s). Determine i(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 729 > 726?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y - 39. Let d(n) = -143640*n**2 - n. Determine m(d(v)).\nAnswer: -143640*v**2 - v - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 174*p**2 - 3*p. Let f(r) = -521*r**2 + 14*r. Let a(s) = -7*b(s) - 2*f(s). What is the second derivative of a(i) wrt i?\nAnswer: -352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + h**2 + 5*h + 5. Let n(j) = -j**3 + j**2 + 6*j + 6. Let s(a) = a - 8. Let u be s(2). Determine u*r(m) + 5*n(m).\nAnswer: m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1196 (base 15) to base 11.\nAnswer: -28a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 786 and 82399?\nAnswer: 494394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21acd96 - 5?\nAnswer: 21acd91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 4267207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (108\/30)\/9 - ((-4)\/(-26) - 2554\/715)\nAnswer: 42\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1095*o + 2278 - 632 + 44344 for o.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventeen halves of a millennium?\nAnswer: 850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/13, 2, 0.1, -6615, 0.2, 0.4 in decreasing order.\nAnswer: 2, 0.4, 0.2, 0.1, -2\/13, -6615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 129*t + 26. Let i(h) = -43*h - 9. Calculate 17*i(y) + 6*u(y).\nAnswer: 43*y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(1\/((-242)\/(-10))). Let u = 169 - d. Is -2\/3 greater than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w**2 - 86919186. Let r(a) = -5*a**2. Give o(r(p)).\nAnswer: -75*p**4 - 86919186","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/24*8*21\/(-112)*-88\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 - -9. Let z = 27.38 + t. Let y = -1.3927 + z. What is y rounded to 3 decimal places?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -2*b - 1\/2*b**2 + 1\/3*b**3 + 7. Solve i(c) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.008007l to millilitres.\nAnswer: 5008.007","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -247*s**2 - 6623*s + 6872352 wrt s.\nAnswer: -494*s - 6623","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 5:28 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*z + 36*z - 30 = -6*s, 0 = z - 0*s - 3*s + 15 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(6)\/sqrt(3) - (-3 + sqrt(2) + sqrt(8)\/sqrt(4))) + -2 + 0.\nAnswer: -sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8343 and 119537577.\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 9*t**2 + 2*t + 1. Let y(n) = n**2 - 14*n + 20. Let h be y(15). Let b = 34 - h. What is g(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 2 + 2, -a = 4*g - 6. Suppose 4*w - 7 = g. Calculate the remainder when w is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (574 + 912 - 679)*((-5*f + 3*f + 4*f)*(2 + 1 - 1) - 4*f + 2*f + 3*f + f + 4*f - 3*f).\nAnswer: 5649*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -27*b + 396. Calculate v(14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.297 rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*w - 7*m = 19*w + 199, -2*m - 189 = -w. What is the greatest common factor of w and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 193*u + 2. Let p(b) = -4*b**2. Determine k(p(y)).\nAnswer: -772*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (3 + -5*sqrt(1100))*5).\nAnswer: -10 + 250*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -31, -46, -67, -94, -127, -166?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64565, 129311, 194059, 258809, 323561?\nAnswer: 388315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61391*f + 61391*f + 18*f**2.\nAnswer: 18*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1159777\/69 + 16809. Let v = y + 2\/69. Which is the smallest value? (a) 4 (b) 1\/3 (c) v (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 10*g**2 - 13*g + 12. Let c be i(-11). Suppose -b + 3 = 6, -k + 5*b + c = 0. What are the prime factors of k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30042919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 206899 (base 10) in base 2?\nAnswer: 110010100000110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 16 + 16)*(7*k**2 - 5*k**2 + 9*k**2) - 3*k**4 - k**3 + k**4 + 3*k**3 + (-k**2 - 7*k**2 + 0*k**2)*(0*k**2 + 4*k**2 - 2*k**2).\nAnswer: -40*k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 957197926 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -30 - 9\/((-18)\/(-8)). Let c = -17 - y. Suppose h = 3*k - c, 2*h = 5*k - 0*k - 30. Calculate the greatest common divisor of k and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1361850420 rounded to the nearest one million?\nAnswer: 1362000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -5*y - 3. Let t(z) = z + 4. Calculate -2*t(r) - u(r).\nAnswer: 3*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of -2*s**7\/35 - s**4\/3 + 19*s**2. Find the second derivative of d(c) wrt c.\nAnswer: -144*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -19. Suppose -b*l = 3*l - 55. Let c = l + -10. Solve v - c = 1 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**2\/5 + 6486*w\/5 - 3505683\/5.\nAnswer: -3*(w - 1081)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1202 - 1?\nAnswer: -1203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14235 by -2847.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -4*i + 30. Suppose 5 = 3*k - 2*o, -5*k = 4*o - 29 + i. Suppose 1\/2*r**2 - 1\/2*r**4 - 1\/2*r**5 + 1\/2*r**k + 0*r + 0 = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2304418 = -2*z + 12908514. Let j = z + -1294592. Let u = j - 16107456. What is u rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j + 2*j = 6*j. Is (1 + j)*(3 + -2)*919 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 (base 15) in base 4?\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46 - -56. Suppose 5 - g = -v. Which is the third biggest value? (a) -37 (b) -2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*h**2 + 129 - 331 + 166 + 5*h**2.\nAnswer: 17*h**2 - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1134\/5 + -226. Suppose -2*a = x + 25, 0 = a - 6*x + 3*x - 5. Let b be (-1)\/((-5)\/10) - (-18)\/a. What is the second biggest value in b, -1, 3\/5, g?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.61 * 0.0291.\nAnswer: -0.017751","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millimeter in micrometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 62180 to the power of 1\/2, to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 6, v: 2, k: 10}. Give prob of picking 1 n, 1 v, and 2 k.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p + 78*p - 287952 = 0. What are the prime factors of p?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the second derivative of x**5\/60 - 7*x**4\/36 - 5*x**3\/18 + 25*x**2\/2 + 2*x + 21. Factor j(y).\nAnswer: (y - 5)**2*(y + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/1005? (a) -4 (b) -2 (c) -2\/9 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 75197909?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 0.5, -1\/4, 3\/8, 16 in increasing order.\nAnswer: -1\/4, 0, 3\/8, 0.5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y - 15 = 0, 2*y = 4*m - 246. Let t = 46 - m. Let h = t + 40. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 53 = -k - a, -4*k + 3*a - 229 = 0. Let t = 81 + k. Suppose -t*d = -26*d + 66. What are the prime factors of d?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -192 + 4569?\nAnswer: 4387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(7) - (0 + sqrt(7) + -3)) + sqrt(14)\/(sqrt(6)\/sqrt(3)) + ((sqrt(77) - -1*sqrt(77))*4)\/sqrt(11))**2.\nAnswer: 54*sqrt(7) + 581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fzzfzhfhzhzhh. Give prob of sequence fz.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8126559*b*z + 8668128*b wrt z?\nAnswer: -8126559*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1968 = -4*c, 13*t - 16*t + 1472 = 2*c. Is 24 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 6)*(10 - 16 - 45)*(2*d - d - 2*d) to the form k*d + o and give k.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 38 = 4*i, 3*c - i - 15 = 2*c. Differentiate 2 - c*j - 1 - 10 + 0 wrt j.\nAnswer: -11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -274*z + 275*z + 4*i + 184 + 58, -191 = -4*z + 3*i for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 760739 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -7 (b) 5 (c) 598\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) 0.3 (b) 7 (c) 5\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*n**2*s**3 + 5*n**2 - 2*n*s**3 + 35*n - s**3 wrt n?\nAnswer: 20*s**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -341.689 + 342. Let c = 1209458.6 + -1209458.91100247. Let v = c + p. What is v rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 170 + 178 = 0. Suppose 2*t + m*q - 3*q = 1500, t - 3*q = 745. List the prime factors of t.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -51, 92, 325, 648, 1061, 1564, 2157?\nAnswer: 2840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1174 is divided by 94.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, j: 11}. Give prob of picking 2 n and 1 j.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**5 - 405*r**4 - 10431*r**3 - 56379*r**2 - 46350*r = 0.\nAnswer: -103, -25, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000048169 rounded to 7 dps?\nAnswer: 0.0000482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1118 + 20 - 448)*(1 + 0 + 1)*(r - 4*r + r)*(-r - 1 + 1) to the form h*r**2 + q + u*r and give h.\nAnswer: -6184","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1158 - -1218.1. What is w rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -380 + -564. Let b be (-4 + 231\/57)\/(34\/z). Let n = 30\/19 + b. Is 0 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 40 = -4*s - 160, -4*f + 5*s = 102. Let q be (-12)\/7 + f\/98. Suppose 5*c = 2*c + 3. Sort 5, q, c in descending order.\nAnswer: 5, c, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14745.19 rounded to the nearest 100?\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 8:35 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*c - 982 - 395 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 8) + 9 + (1 - 0) + 3\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f + 2*f - f)*(3*f**3 + 0*f**3 + f**3) + 5*f**4 - 3*f**4 - f**4 + 2*f**4 - f + f.\nAnswer: 15*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j - 14. Let p be v(13). Let k = p - -3. Is k != 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -985 - -1194. What is the greatest common factor of 187 and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i + 8. Let p be j(-6). Suppose p*g = -2*g + 12. Suppose 3*y = -0*v + 3*v + 84, -4*y = g*v - 119. Is 16 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11 and 6156887.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -259, -1217, -2875, -5233, -8291, -12049, -16507?\n\"Answer: -350*m**2 + 92*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2916, 3989, 5048, 6099, 7148, 8201?\n\"Answer: b**3 - 13*b**2 + 1105*b + 1823","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 76*f**3 + 90*f - 42 - 29 - 88*f with respect to f.\nAnswer: 228*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 394ac7b + -5?\nAnswer: 394ac76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-130)\/52*2\/(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 310430?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 12979392*n - 38938140.\nAnswer: -4*(n - 3244845)*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 6 = 5*p + 31, -p = -1. What is the lowest common multiple of h and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.19 in -2, -2714, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 7 = 4*t - 2, 4*a - 5 = -t. Let l(m) be the first derivative of 2 - 5 - 2*m**2 + 3*m**2 + 5*m - a. Give l(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 358797 and 597?\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4449 or 4401?\nAnswer: 4449","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 115*m - 67 + 4*m + 66.\nAnswer: 119*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 93 (b) 3 (c) -0.0821\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19879 is divided by 3843.\nAnswer: 664","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1789, 3468, 5077, 6610, 8061, 9424, 10693, 11862?\n\"Answer: -d**3 - 29*d**2 + 1773*d + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1. Let s(y) = -y + 6. Let f(k) = -6*q(k) + s(k). Let n(z) = -9*z. Determine f(n(u)).\nAnswer: 9*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*y**2 + 3*y**2 - 14*y**2)*(-y**2 + 1 - 1) to v*y**4 + j*y + z*y**2 + s*y**3 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -289875461 and -4.\nAnswer: 1159501844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12399851 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-9) - 13\/((-351)\/261). Put s, -1, 4, 7 in descending order.\nAnswer: s, 7, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 - 500*w**2 - 49732*w - 588. Determine l(-363).\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1.4 (c) 11 (d) 2\/3 (e) 10 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 4*k - 3*k)*(1 - 1 + 1)*(262*k**3 - 40*k**4 - 262*k**3).\nAnswer: 80*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*s + 100 - 21*s + 57*s - 7*s - 15*s.\nAnswer: -5*s + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 1. Let h be k(-1). Suppose -g = -i - 19, 2*g + h*i = -i + 38. List the prime factors of g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 15*d**3 + 3840*d**2 + 249538*d + 483853. Let t(f) = 5*f**3 + 1280*f**2 + 83179*f + 161284. Let r(h) = 6*q(h) - 17*t(h). Factor r(p).\nAnswer: 5*(p + 2)*(p + 127)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000011011 + -10111101101111?\nAnswer: -11000110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 4 = 4*r. Suppose -26 = -3*s + r*y, -4*s + 10 = 2*y - 10. Solve 4*d = d + s for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 3*i - 225003 = 0, -u + 13*i + 44995 = 8*i. What is u rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n. Let f(d) = -1783*d**2 - 9*d + 1. Let c(u) = 3564*u**2 + 15*u - 2. Let q(v) = 3*c(v) + 5*f(v). Determine q(l(y)).\nAnswer: 1777*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, u: 4, t: 5}. What is prob of picking 1 t and 1 r?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 451463 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -75 * 216\nAnswer: -16200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*3\/18*4. Suppose 3*y = 4*y - z. Suppose -o = -2*o + y. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/71)\/b*b*((b\/(b\/((((b\/b**(4\/15))\/b*b)\/b*b)\/b)))\/b*b*b)\/b)**22 assuming b is positive.\nAnswer: b**(-6578\/1065)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 546, 1096, 1658, 2238, 2842, 3476?\n\"Answer: g**3 + 543*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55705589.\nAnswer: 55705589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -0.3 (c) -1\/4 (d) -173\/293 (e) 0.7 (f) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**18)**(11\/8))**(1\/9) assuming o is positive.\nAnswer: o**(11\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -5 + (-5 + (15 - 1) - 2)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 16*r + 0*r**2 + 19*r + 2 + 0*r**2. Let n = 1 - -2. Calculate x(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/8 + 52\/(-8). Let l be 2431\/68 + g\/8. Suppose 0 = -4*a - 3*a - l. Which is smaller: -4 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 18\/5 of a tonne?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14366448 is divided by 3280?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 - 214*y**3 + 422*y**2 - 210*y.\nAnswer: 2*y*(y - 105)*(y - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 5 - 364375\/100760) + 1 + (-176)\/128.\nAnswer: 2\/229","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9512 + -9483. Which is the second biggest value? (a) -0.4 (b) y (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8208?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 70475.02 weeks in seconds?\nAnswer: 42623292096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zeezzmetttzzkmzsstez. Give prob of picking 3 e and 1 z.\nAnswer: 28\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - -4*1\/2. Let p(z) = 2*z + 0*z + 1 - 2*z**2 + 0*z + z**d. Calculate p(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1455425*o - 75 = 1455440*o. Suppose 2 = 3*d - 5*d. Put o, 2, d in decreasing order.\nAnswer: 2, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h - 26 + 32 = -r, 4*h + 31 = 3*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8+144\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k - 4. Let w be t(7). Suppose -w*s + 7*s + 8 = 0. Let o(j) = -j**3 - 2*j**2 - 2*j - 1. Let d be o(s). Solve d*g = -5 + 2 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 - 11*k + 2*k**2 + 12*k. Let b(x) = -x**2 + 3*x. Determine b(v) - 2*c(v).\nAnswer: -3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -471.9 * 3.\nAnswer: -1415.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -32*v**3 - 8*v**2 - v - 4. Let j(a) = 64*a**3 + 14*a**2 + a + 7. Give 4*j(y) + 7*o(y).\nAnswer: 32*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 181 - 180. Let h be d\/(-5) + (-10)\/450. Which is the nearest to 0? (a) h (b) -7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41 + -35. Let m(c) = c**3 - 6*c**2 + 9*c + 13. Is m(f) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2830, -5659, -8488, -11317, -14146?\n\"Answer: -2829*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576) - sqrt(576)*-2*-5)\/(sqrt(108)*-2*-5))**2.\nAnswer: 108\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 69 - p**2 + 3*p**2 - 29 - 32*p**4 - 35 + 2*p - 51*p**4 in the form g*p**3 + d*p**4 + y*p**2 + k*p + q and give d.\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 - 12*k - 25. Let u be i(-8). Let n(s) = s**2 - 7*s. Let z be n(u). Suppose o - 6 = -z*o. Solve 2*p + o = -0*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**3 + p**2 + 4*p**2 - 3 + 6601362*p - 6601399*p in the form c*p**3 + i + m*p**2 + x*p and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - z + 5. Let q be b(0). What is the second derivative of 0*w + 5*w**q - 328*w**2 - 3*w + 328*w**2 wrt w?\nAnswer: 100*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -459305 (base 14) to base 11\nAnswer: -1378682","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1313279 + 437550 - 7*u + 437863 + 437866.\nAnswer: -7*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 + 63 + 865 = 64*w for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 722483*t + 26570*t**4 - 722483*t + (t - t**4 - t)*(1 + 3 - 6).\nAnswer: 26572*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + (2 - (13 + (-5 - 2)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sfwqsovvq. Give prob of picking 1 f and 1 v.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the third derivative of -7*p**4\/24 + 14*p**3 - 6628*p**2. Calculate z(12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*y = u - 127, 4*u - 4*y = 284. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996\/5229*(-350)\/(-6) + -11?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {m: 1, j: 2, s: 1, x: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 12 = -2*m + 33, 0 = 3*m + 4*n - 49. Solve 5*w - 2*g + m = -4, 0 = w + g - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -658 divided by -2.\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-368)\/(-150) + 60\/(-45) + 79 + 27669\/(-345).\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/(-2))\/((-6)\/(-5237)). Let u = p - 1291. What is the common denominator of u and 77\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, n: 1, b: 2, a: 1}. What is prob of sequence pp?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -6 - -2bc14dc?\nAnswer: 2bc14d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 2*l**7\/105 - 212*l**6\/5 + 202248*l**5\/5 - 21438288*l**4 + 6817375584*l**3 - 2401*l**2. Find c such that k(c) = 0.\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -6*z**3 - 2*z**2 + 5*z + 2. Let l(g) = -g**3 + g + 1. Let f(x) = d(x) - 4*l(x). Suppose 128*s - 96 + 151 + 201 = 0. Give f(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -83427 at most as big as -83436?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*l**3 - 13664*l**2 - 219392*l - 878592.\nAnswer: 4*(l - 3432)*(l + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 473576000 rounded to the nearest 1000000?\nAnswer: 474000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -20, -59, -140, -275, -476, -755, -1124, -1595?\n\"Answer: -2*s**3 - 9*s**2 + 2*s - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -26 - -10?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1922.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = -0*p + 14. Suppose 3*q = q + p. What is the remainder when 13 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -720.13 to the nearest 10.\nAnswer: -720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 = 7*d + 138. Let o = -0.2 - -1.2. Sort o, d, 0.1 in descending order.\nAnswer: o, 0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + 8 - 1)\/1 - -76. Let y(n) = -14*n**2 - 2*n. Let v be y(2). Let h = v + m. Calculate the remainder when 168 is divided by h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o + 7. Suppose -6 = -2*x + 2. Let r(b) = 9 + x*b - 1 - 3*b. Let y(q) = -6*i(q) + 5*r(q). Differentiate y(z) with respect to z.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31448577 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -5*n**3 + 6*n + 6. Let d(j) = -10*j**3 + j**2 + 13*j + 13. Determine 6*d(r) - 13*x(r).\nAnswer: 5*r**3 + 6*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1475, 2947, 4419?\n\"Answer: 1472*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -5*d - 4. Let w(l) = -l**2 - 18*l + 4. Let k be w(-18). Let v(h) = -12*h - 7. Let q(n) = k*v(n) - 10*z(n). What is q(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(1\/((-2)\/(-20)) - (-129548)\/(-12788))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 261358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxbbwwbwxbwwx. Give prob of picking 2 x.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360298 is divided by 562.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(-84)*(-4)\/10)\/((-9)\/(-8))?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 1887.509.\nAnswer: 1891.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -111111 (base 4) to base 16\nAnswer: -555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6*8\/(-144))\/((-6)\/3)*-14?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -67 or -66?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z + 11. Let i(h) = 27*h - 110. Let k(j) = -10*g(j) - i(j). Let s(n) = 6*n. Calculate k(s(w)).\nAnswer: -102*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 2:43 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43169414 to the nearest integer?\nAnswer: 6570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -12934247 to the nearest one thousand.\nAnswer: -12934000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 223, 436, 647, 856?\nAnswer: 1063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 305 + -304. What is the derivative of -55 + s - 73*r**2 + 30*r**2 wrt r?\nAnswer: -86*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*b**2)*((-2 - 2 + 2)*(-4 + 1 + 1)*(-6 + 6 + 9) - 3 - 1 + 3 - 4 + 1 - 3).\nAnswer: 87*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -28*r**3\/3 + 2188*r**2\/3 - 29440*r\/3 - 20800 = 0.\nAnswer: -13\/7, 20, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -49.9 + 50. What is the second smallest value in g, 4, -0.4, -3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**3 - 16*i + 2. Give y(-5).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + 17 + 3 - -15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = f - 2*f - 18, -3*r + 18 = -4*f. Let h = 78 - -52. Let o = -126 + h. Solve 5*x = -o*k + 4, r*x - x - 24 = k for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3155701 and -0.018267.\nAnswer: 3155700.981733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*l**6*w**3 - 2160*l**5*w - 6423*l**2*w - 2*w**3 wrt l?\nAnswer: -600*l**3*w**3 - 129600*l**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -21, -15, -7?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*b + 528 = -0*b. Solve 3*f + f = 2*q - b, -3*q + 20 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 67 + -71. Put 1, n, 9 in ascending order.\nAnswer: n, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 4:52 AM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -8. Let j be ((-4)\/10)\/(l\/25). Does 4 divide -4*(j + (-3)\/12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 281390 rounded to the nearest 10000?\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 2*i + 32 = 4*n, 0 = -i - 5*n + 19. Suppose 138 = i*f - 1426. What are the prime factors of f?\nAnswer: 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 71612 and 96.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 414*t - 653. Is z(13) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + -29 + 18 + 26?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (0 + 1)) + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-12)*-2*6. Sort 0, -5, a.\nAnswer: -5, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -11*v + 23. Let m = -4.6 + 0.6. Suppose 6*s = -7*s. Which is the smallest value? (a) s (b) v (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233016 is divided by 4076.\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -19*(11 - 5) + -3. Let v = -113 - x. Suppose 176 = -4*a - 2*s, 94 = 2*a - v*a + 2*s. Are -46 and a nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 42*j**2 - 43*j**2 - 2 + 4. Determine o(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34 - -41. Let w(f) = f**3 - 6*f**2 - 9*f + 22. Let c be w(v). Solve -a + 5*q - c - 11 = 0, -5*a = q + 17 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21308 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: What is 1012356618 to the power of 1\/4, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 - 13. Let s = j + -6. Find the second derivative of 2*k - s*k**2 + 3*k**2 - 3*k**2 wrt k.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.961 - -3.6261. Let y = -0.0921 + l. What is y rounded to 1 decimal place?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 252 and 12?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.02353 rounded to two dps?\nAnswer: 1.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -323 - -339. Which is the fourth biggest value? (a) m (b) -2\/3 (c) -3 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 5*f - 2*f)*(3 - 1 + 0) - 9*f - 11*f - 5*f to the form n + j*f and give j.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -10*k - 7. Let l be c(-5). Let o = 89 - l. Let r = 160 + o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53707263 is divided by 1167549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s - 1. Let h(p) = 5*p - 2. Let l be ((-2)\/3)\/((-34)\/(-51)). Let f(n) = l*h(n) - 3*t(n). Determine f(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2839 and 4148.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**2 + 5*i + 3. Suppose -10 = -3*k + k. Suppose -k*g - 7 = -2*l, -4*l - 16 + 44 = 4*g. Calculate r(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (16\/6)\/((-8)\/(-36)). Suppose 2*d + d + f = 3*o, -o - 3*d = 0. Suppose -o*b = -2*b - 14. Calculate the lowest common multiple of b and 6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10 + -8 + 2*-1. Suppose v = -2*o + 44 - 8. Solve -2 = -g - 2*r + 5, -4*r + o = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j - 1. Let g(b) = 13*b + 8. Let y(c) = 11*c + 6. Let w(l) = 3*g(l) - 4*y(l). What is n(w(q))?\nAnswer: 5*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -5*l**2 + 1. Let f be u(1). Let m(c) = -7*c**3 - 3*c**2 + 4*c + 5. Let j(z) = z**3 - z - 1. Let n(q) = 6*j(q) + m(q). Is n(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 728238 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53982 (base 12) to base 14.\nAnswer: 2c278","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - 21)\/(-7) - (6 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(-56*t + 195*t + 34*t).\nAnswer: -519*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from iiiiggg?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*t - 5. Find the second derivative of 4*k**3 - 3*k**4 + 2*k**3 + t*k - 6*k**3 wrt k.\nAnswer: -36*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 <= -10\/123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 - (0 + (-3)\/(-2)). Let g = -2.4 + 0.4. Let r = g - -1.9. Which is bigger: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -548.8813 to the nearest ten.\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Let n be (-308)\/(-70) + 6\/10. Suppose 2*u + 4 = -2*t, -n*u - 5*t - 8 = -d*t. Are -1 and u equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 10. Suppose 4*w = 2*m - 0 + 8, w - 3*m = j. Suppose -4*g + 5*g - 4 = w, -2*y = -3*g + 8. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**4 + 274*z**3\/3 + 76502*z**2 - 383074*z\/3 + 51100 = 0. Calculate z.\nAnswer: -175, 2\/3, 1, 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)\/(sqrt(11) + sqrt(55)\/sqrt(5)) - (sqrt(540)\/sqrt(108) - sqrt(45)))\/(((sqrt(432)\/sqrt(12))\/sqrt(2))\/sqrt(2)).\nAnswer: 7*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 21*r**3 - 24*r**2 - 27*r - 11. Let p(w) = -4*w**3 + 5*w**2 + 5*w + 2. Give 4*c(g) + 22*p(g).\nAnswer: -4*g**3 + 14*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + ((-51)\/(-15))\/(3\/(-5)). Do a and 8 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 172054073 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*b**2 + 219*b**2 - 3*b - 2*b - 437*b**2.\nAnswer: -2*b**2 - 5*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.61 + 6.61. Let q(v) = -v**2 - 5*v. Let i be q(-5). Which is bigger: y or i?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 7561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 - 46*q**2 - 38*q + 303. Give v(-22).\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*x - 8 + 135 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37596977 is divided by 494697.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 - (17 - 18) - 15) + -1 + -15?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q**2 + q + 1. Calculate the remainder when w(-1) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17308, -16927, -16568, -16243, -15964, -15743, -15592?\nAnswer: -15523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 166\/11, -55.2, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 439221\/100 or 4393?\nAnswer: 4393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58215255*i*o*u - i*u + 2*o*u - u + 84136949 wrt o.\nAnswer: 58215255*i*u + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 + 68. Suppose 39 = 5*m - r. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (23\/21 + -1)*((-435)\/(-15) - 15)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*3\/(-180) - 66\/99.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 134 - -569?\nAnswer: 6a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 3:16 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3469?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-51)\/(-34))\/(2\/4)*223532\/(-8178)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -260 - 225 + 743 - 228*r - 258. Let i(q) = -q. What is i(f(a))?\nAnswer: 228*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-60)\/(-18))\/(2\/6). Factor k**3 - 7*k**2 + k**4 - 4 + 4*k - 5*k**3 + h*k**2.\nAnswer: (k - 2)**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0 + 1\/(-8) + (-2258)\/(-16). Let s = c - 138. Let g be (-11)\/(-3) + 4\/(-6). Solve -s*u = -g - 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 b when three letters picked without replacement from {n: 5, b: 3}.\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -189, -297, -441, -621, -837?\nAnswer: -1089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1468499 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t - 4. Let y(b) = -2*b - 7*b + 8*b + 1. Suppose 2*o - 5*k = -7*k, 4*k + 16 = 0. Calculate o*y(h) + a(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwowozo. Give prob of picking 1 o and 1 w.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3774444 or -3774482?\nAnswer: -3774482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4.89 + -1.89. Which is bigger: -29 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of 0*g**2 + g + 0 - 4\/3*g**3. Let b(y) be the third derivative of -y**4\/24 - 675*y**2 - 56. Calculate b(r(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 775844 = 2*g + 306140, 0 = -8*n + g + 2163986. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276717003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.21 in 0.02, -3\/401, -3\/8, 0.2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r + 1. Let f(k) = -10*k + 6. Let g(i) = -2*f(i) + 11*m(i). Calculate g(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -0*y - 5*y + 68, h = y - 22. Suppose 23 + 87 = 5*w. Calculate the remainder when w is divided by 14\/(-1)*18\/h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 4:27 PM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x**2 + 5898*x + 5901 = 0. Calculate x.\nAnswer: -1, 1967","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 85454007739 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184375861 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 1)*(4*q**3 + q**3 - 6*q**3)*(4 - 4 + 1).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -402388 - -615.\nAnswer: -401773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 less than or equal to 178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + 11*n**2 + 25*n - 20. Determine f(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1498*d**3 - d - 1502*d**3 + d.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1338 is divided by 121?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 + 8*d**2 - 12*d - 22. Suppose -13*j + 100*j = -783. Calculate p(j).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -78918a (base 11) in base 3?\nAnswer: -2100211211211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 191 and 431660?\nAnswer: 431660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r + 72. Let h be a(0). Let q be 0 + -33*(-2)\/2. Suppose -q = -4*w - 1. Calculate the greatest common divisor of w and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (43\/(2580\/(-216)))\/(6\/(-30)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2681 - -3?\nAnswer: -2679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 153425101?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 - -3)*-2*7\/18.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52 - 48. Solve b*x = 5*y + 6 - 3, -2*x + 7 = 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + b + 0 + (-3 + 3 + 1)*(-2*b + 5*b - 2*b) + 12 + 19*b - 6 - 7)*(0 + 3 - 5) as l*b + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -686, -1376, -2056, -2720, -3362?\n\"Answer: l**3 - l**2 - 694*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 100 (base 3) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of n**5 + 0*n**2 + 15 + 14\/3*n**3 + 0*n + 0*n**4. Find the third derivative of r(t) wrt t.\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 608*g - 14033. Determine c(23).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 2:56 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 32*t - 75. Let w(n) = 49*n - 113. Determine -8*o(q) + 5*w(q).\nAnswer: -11*q + 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 189? (a) 3\/7 (b) -13\/152 (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/7 + 196936*r\/7 - 196937\/7.\nAnswer: (r - 1)*(r + 196937)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**0)**(-20)\/(x*x\/(x**(-4)*x)*x\/((x*x**1*x)\/x)) assuming x is positive.\nAnswer: x**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*a - 72 = -26*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -3*j**5\/70 + 4*j**3\/21 + 7*j**2. What is n in r(n) = 0?\nAnswer: -2\/3, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 702 divide 44009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19\/151 - -21084\/755. Let i = -28 + m. Let a = -0.3 - -0.3. What is the second biggest value in 1\/4, i, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of -a**2\/2 + 10*a - 5. Let f be s(11). Let r be f*6\/45*-3. Is 0.1 < r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34.6 - 34.8. Let t = -1.1 - -0.1. What is the biggest value in b, -2, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/((d**(9\/10)*d)\/d))\/d**33 assuming d is positive.\nAnswer: d**(-329\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(2\/(-2)))\/(9\/((-3276)\/28)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 6*j + 80. Let r be f(-13). Let z(y) = -y - 8. Let l(v) = -3 + 0 + 2. Determine r*z(q) - 14*l(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4450212 a multiple of 1924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 12:25 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -81, -197, -367, -597, -893?\nAnswer: -1261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (408\/(-120))\/(40\/(-300))*2\/3.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b + 1. Let c(n) = 26*n - 20. Let p(o) = -8*o + 6. Let r(y) = 6*c(y) + 20*p(y). Determine d(r(k)).\nAnswer: 24*k + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/15)\/(30\/20)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2 (b) -0.14 (c) -0.6 (d) -1\/8 (e) 7 (f) -3 (g) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 155469?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11400)\/3040)\/((-1)\/((-24)\/(-5))).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.3 (b) -0.05 (c) 4 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 59? (a) -1 (b) 4 (c) -649\/2 (d) 1 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*30\/(-25))\/((-6)\/(-20)). Suppose t*w + 17 = -7. Sort w, -1\/3, 0.3 in descending order.\nAnswer: 0.3, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + 20 + -6 - 32.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11001110101 (base 2) in base 3?\nAnswer: 2021020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16328 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 95?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**4\/18 + 5*z**3\/3 - 12*z**2 - 48*z - 246. Find r, given that g(r) = 0.\nAnswer: -3\/2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(114) + sqrt(114)*-1))\/(-2*sqrt(864)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 202 and 13029.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191484442.\nAnswer: 2, 53, 109, 16573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -1654821900 to the nearest one million.\nAnswer: -1655000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1110, -2217, -3326, -4437, -5550, -6665?\n\"Answer: -l**2 - 1104*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minus 18351434?\nAnswer: -18351425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = 4*v + 89, -4*a + 2*v + 0*v + 112 = 0. Let p be (-1)\/(a\/14 + -2). Calculate the highest common factor of p and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 s, and 1 m when four letters picked without replacement from gsgmgmegg.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1558*c = -1978*c + 229142 + 82026 for c.\nAnswer: 88","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3.31 (b) 0.42 (c) 86\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 6 = 10 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2\/5 + 63*d + 312\/5.\nAnswer: 3*(d + 1)*(d + 104)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 11*n + 30. Let l be f(23). Suppose -2*s + l = k, -3*k - 4*s + 371 = -468. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 1 z when three letters picked without replacement from {o: 18, z: 1}.\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -4 + -6 + -5 + 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.8*354131\nAnswer: -637435.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2*sqrt(245) + sqrt(245) - (sqrt(245) + 4*(-2*sqrt(245))**2)) + -5*(sqrt(245) - ((sqrt(245)*3 + -2)**2 + sqrt(245))).\nAnswer: -434*sqrt(5) + 7129","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124963, 249594, 374225, 498856, 623487?\nAnswer: 748118","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 12110640.7.\nAnswer: 12110640.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -1. Let b(t) = -2*t - 6. Determine -b(j) + 2*s(j).\nAnswer: 2*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -13*t**4\/4 + 4*t**3\/3 - 2*t**2 + 5*t + 1791. Let z(s) = 12*s**3 - 3*s**2 + 3*s - 5. What is -3*p(i) - 4*z(i)?\nAnswer: -9*i**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9637783.\nAnswer: 2521, 3823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2*z + 7. Let o be p(2). What is the first derivative of -5 - o*s - 2*s + 1 + 9 wrt s?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/67, -15, 0, 18, -6\/11, 0.02, 1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s - 18*s**2 + s**3 - 9*s + 7*s + 13*s**2 - 9 - s**4 to the form u*s**4 + m + n*s**3 + w*s + g*s**2 and give m.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/8 of a kilogram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 4*s = 91, 22 = -5*a + 5*s - 138. Let j = 42 + a. Solve -j*h = 2 - 22 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkqkkqkqqkkq. What is prob of sequence kkq?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*d, d + d = -5*z + 60. Suppose 5*a - 5*p - 30 = 0, 5*a - z = p - 0. Is -2\/223 less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*m - 10 = 0. Suppose -m*l + 3*w + 5 = 0, 3*l = -4*w + 2*w - 12. What is the closest to l in 5, 2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**4\/4 - 3*l**3 - 10*l + 4. Determine f, given that n(f) = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49.726771 - 0.093771. What is i rounded to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112222100202220 (base 3) in base 7?\nAnswer: -124436151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 + 233 = 2*y. Suppose -s - 191 = -5*u, u - 27 = 2*s + 13. What is the highest common divisor of u and y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1485*m - 55*m**3 - 75*m**2 + 1485*m wrt m?\nAnswer: -330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 4 + 13*d**2 + 16*d**4 + 12 - 45*d**2 - 4*d - 4*d**5 + 8*d**3 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 5*y**2 + 4*y - 1. Let h be q(-4). Let m be (3 - (3 - h))*-4. Let n(v) = -v**3 + 3*v**2 + 3*v - 4. Determine n(m).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuun when four letters picked without replacement from {n: 1, u: 5, f: 4, i: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of x**3 - x**2 + 410*x + 3. Let j = -10 + 12. What is f(j)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2971*p**2 - p + 142 - 634*p**2 - 909*p**2 + 62 + 248 wrt p.\nAnswer: -9028","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 1\/5 (c) -2\/7 (d) 0.1 (e) 0.59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 24\/(-18))*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 475 and 20601695?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1754.0991 rounded to the nearest 10?\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -180560800 to the nearest one million.\nAnswer: -181000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 + (-49)\/(-28). Suppose 0 = g*m - 32 + 2. Solve z - h + m = 4*z, 4*h = -z + 5 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210002121210011 - -1?\nAnswer: -10210002121210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from wepipwppppepiew?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -66125210 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -89*o + 963. What is m(11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*w + 3*y, 207*y + 2 = 2*w - w + 211*y for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - ((-15)\/(-3))\/(-1). Let m = -5 + 7. Let w be 46\/(-40) - (2 - (-84)\/(-35)). What is the closest to 0 in m, w, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 0 - 4)*(20*f**2 - 12*f**2 - 15*f**2) + f**2 - 4*f**2 + 6*f**2 in the form b + s*f**2 + x*f and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 4*t**3 - 19.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 201 and 70899?\nAnswer: 4750233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (5 - -1) + -2. Suppose -3*u + 2*p - 149 = 0, -5*u + 2*p + 62 = 317. Let h = -51 - u. Solve -n + 19 = -6*y + w*y, 5*y - h*n + 23 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 176452?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4f6 (base 16) in base 7?\nAnswer: -3463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000068411 to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 8*g**2 + 5*g + 9. Let k be i(8). Let a(m) = -m + 1. Let n be a(-6). What is the highest common divisor of n and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -2\/5, -75, 2, 3?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/162)\/(5\/45).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.46 - -0.54. Which is the closest to t? (a) 4 (b) -1 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 5*g. Let r(c) = 6*c**2 - 55*c + 14. Let m be r(9). Suppose -6*u - 13 = 3*k - 2*u, -u = m*k - 1. What is x(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -2, 5, -0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -3 (c) 44 (d) 2 (e) -289 (f) -0.19 (g) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 623936 or 624127?\nAnswer: 623936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 142202 (base 5) in base 3?\nAnswer: 22010112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -276.\nAnswer: 1\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328688095.\nAnswer: 5, 1723, 38153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9017754 to the nearest integer?\nAnswer: 3003","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 10:44 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**3\/3 - 1048*z**2\/3 - 13986*z + 45120 = 0. What is z?\nAnswer: -480, -47, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**3 - 2*h**2 + h + 1. Let j(c) be the second derivative of 7*c**5\/20 - 5*c**4\/12 + c**3\/3 + 3*c**2\/2 + 29*c. Give 5*i(b) - 2*j(b).\nAnswer: b**3 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = 2*c - 22, -2*h + 7*h + 17 = -3*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4*t + 33 + 9, 2*u + 2*t = 14. Solve -15*s = -u*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2 - 6*c + 6. Let z be v(4). Find the first derivative of 5 + z*w - 1 - 2 - 9*w wrt w.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.19, 48, 296, 1, 0.2?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -7*p**2 - 6*p - 5. Let s(q) = -99*q + 2. Let n(i) = 3*i**2 + 448*i - 7. Let y(c) = 2*n(c) + 9*s(c). Let o be 9\/2*4\/3. Determine o*y(z) + 5*t(z).\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 2:11 AM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -389\/24 - -43\/8. Let q = p - -32\/3. Which is the third smallest value? (a) 1 (b) 2\/3 (c) q (d) -176\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 130 = 5*d + 28, 5*k = -3*d + 86. Suppose -q - d = -3*q. What is the derivative of 3*g**2 + 8*g**2 - q*g**2 + 2 + 16*g**4 wrt g?\nAnswer: 64*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 6, 8*m - 3*m + 19 = -2*l. Let r = m - -5. Let t = -0.2 - -0.4. Sort t, -2\/3, r in descending order.\nAnswer: r, t, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 161687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 17*y + 86. Let f be z(21). Which is the closest to -1? (a) f (b) 11 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 51*x**2 - 1. Let k be o(1). Let s be -2*(-3)\/5*5. Suppose -k = -8*t + s. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -2*k + 3*n, -3*k = 4*n - 0*n - 10. Suppose -8 = 4*t + 4*p, k*t = 3*p - 0*p + 11. Solve 0*h + a - t = 3*h, 0 = a - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4261 divided by -5?\nAnswer: 4261\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 11 + 19\/(1463\/(-814)). What is the third biggest value in 4\/7, u, -0.24?\nAnswer: -0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -5\/619282?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -5*l + 3 - 17*l**3 - 4*l**3 - 6*l**3 + 20. Let w(d) = 14*d**3 + 3*d - 12. Let y(o) = 3*n(o) + 5*w(o). What is the derivative of y(r) wrt r?\nAnswer: -33*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 71304247 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/10)\/b)**(-2\/21) assuming b is positive.\nAnswer: b**(11\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -6 - 9, 0 = -2*n + 5*y - 31. Let a = 36\/55 - -8\/55. What is the biggest value in a, 1\/2, n?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848104 is divided by 111.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/33*(-9 + -2). Let u(d) be the third derivative of 0*d + 3*d**b + 1\/10*d**6 + 0*d**4 + 0*d**3 + 1\/15*d**5 + 1\/84*d**8 + 2\/35*d**7 + 0. Factor u(v).\nAnswer: 4*v**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 24*s - 44. Let j be u(22). Suppose -3*x + 64 = y, -5*x = -j*x + 3*y - 100. Calculate the remainder when x is divided by 17.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 36.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -38171, -305453, -1030921, -2443667, -4772783, -8247361, -13096493, -19549271?\n\"Answer: -38182*n**3 - n**2 - 5*n + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9759508 is divided by 1711.\nAnswer: 1675","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = 2*g - 96, 5*g = 5*s - s + 240. Suppose 0 = 3*y + y - g. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 96381 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the third derivative of -11*t**6\/60 - 7*t**5\/15 + 13*t**2. Find the third derivative of g(s) wrt s.\nAnswer: -132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen sevenths of a week in minutes?\nAnswer: 18720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306 divided by 34.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-2))\/(3\/8*-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 9 - -4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35 and 7560.\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2627 and 844636.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/15)\/(3\/(-45)). Let w = h - 7. What is the third derivative of -2*f**2 + w*f**6 + 0*f**6 + 2*f**6 wrt f?\nAnswer: 480*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17\/29305 or 0?\nAnswer: 17\/29305","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 713383 to the power of 1\/4, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 348438 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdz when three letters picked without replacement from {d: 3, z: 6, f: 4}?\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (20 - 0 - (33 + -29)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*l + 8 + 22*l + 4 - 10*l in the form a + w*l and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29871*c**3*w + 3322*c**2 - 3*c*w wrt c?\nAnswer: -179226*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 306578367*t. Let h(f) = 2*f**2. What is h(r(b))?\nAnswer: 187980590224773378*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -74016 by 18504.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 145153134 (base 6) to base 16\nAnswer: 2e80b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(24))\/(-2*sqrt(32)).\nAnswer: -5*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 113187 and 360.\nAnswer: 13582440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -13776 smaller than -13776?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(78)\/(sqrt(216)*-2).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -9*a + 11. Let y be g(1). Let m(f) be the first derivative of 1 + 1\/2*f**y + 0*f. Let r(s) = -s**2. Determine r(m(d)).\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/9)\/((-12)\/27)*912\/209?\nAnswer: -36\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j - 185 = 3*p, -2*p - 27595506 + 27595392 = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n - 203 + 63 = 0. Let s(d) = d**2 + 3*d. Let r(i) = -i**2 - 3*i. Calculate n*r(b) + 3*s(b).\nAnswer: -b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three eighths of a millennium in years?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -5*a - 2026. Let y(s) = -2*s - 4. Calculate q(k) - 2*y(k).\nAnswer: -k - 2018","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fwfffwfwfwwfff. What is prob of sequence fww?\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -246829*a + 220 - 26 + 246837*a. Calculate t(-25).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z - 4. Let p be t(4). Let j = 22032 - 21987. Suppose p = 2*q + q - j. Solve 3*a - u = q + 1, -a = -2*u - 7 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 - -185. Suppose -y = -6*y - 25, -5*y - f = -4*z. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ore when three letters picked without replacement from rxovvvvrvxvoeoxovev.\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3058678 to the power of 1\/3, to the nearest integer?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (94 + 2 + 30)*(-15*y**4 + 5*y**4 - 4*y**4).\nAnswer: -1764*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3303813 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 10460 divided by 2092\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - a + 1. Let k(z) = -z**3 - 5*z**2 - 6*z + 6. Let i = -16 - -7. Let b be 31\/(-5) + i\/(-45). Suppose -y = y - 2. Calculate b*s(v) + y*k(v).\nAnswer: -v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.0116 * 188723\nAnswer: 2189.1868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 25.2 in -0.05, -1\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 100214 + -10?\nAnswer: 100204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minus 80107?\nAnswer: -80103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 521 is divided by 78?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (s + s + 0*s)*(3 - 2 - 2)*((0*s + 3*s - s)*(0 - 2 + 3) - 5*s + 5*s + 23*s).\nAnswer: -50*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 44, 97, 152, 209?\nAnswer: 268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 divided by 16704?\nAnswer: -25\/5568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 3, -1, -1\/8 in descending order.\nAnswer: 3, 1, -1\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1455 + 882. Let h = 574 + g. Which is smaller: h or 2\/135?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1848 and 15477?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 14467487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r - 44. What is the units digit of n(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q**4 + 30*q**3 - 51*q**2 + 24*q = 0. Calculate q.\nAnswer: 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.9 * 0.3.\nAnswer: -1.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**6\/120 - x**5\/30 + 5*x**4\/8 + 17*x**3\/6 - 235*x**2 - 2*x - 3. Calculate d(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102 - ((131 - 69) + 23)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrrrrrrrrr?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*q - 43*q - 193660 = 5*g, -4*g = -3*q - 290536. Round q to the nearest one thousand.\nAnswer: -97000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + 5*k + 2*u - 2, 5*k + u - 17 = 0. What is the lowest common multiple of k and 7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28686 - 1325. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 161452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39182.\nAnswer: 2, 11, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 6:09 AM?\nAnswer: 9:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - -7) + (-3 - -7 - (2 + 14 + -19))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.99, 5.2, 2\/3, 2, -1.88 in increasing order.\nAnswer: -4.99, -1.88, 2\/3, 2, 5.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26900770*x**3 - 3*x**2 - 1429100 wrt x.\nAnswer: -161404620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 10:59 PM?\nAnswer: 7:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-2)\/(-2) + (-228)\/(-57)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 363*w = 368*w - 2655. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2.59 and 25.\nAnswer: 22.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 - 2*a**2 - 24*a - 4. Let v be x(-4). What is the smallest value in v, -128, -1, 2\/9?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = -5*q - 44, -k - 4*q = 30 - 8 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*a + 114*a + 11620 = -5*n, -5*n = 5*a - 14570. Let j(t) = -t**3 + 6*t**2 + t - 8. Let u be j(6). Is ((a\/9)\/u)\/((-4)\/12) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 5*f**2 - 2*f - 5. Let r(i) = 2*i**2 - i - 2. Let m(b) = 35 - 2*b - 9*b + 51 - 2*b. Let g be m(6). Determine g*r(j) - 3*k(j).\nAnswer: j**2 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*z - 1071 = -763. Sort 3, 1\/4, 0.5, z in ascending order.\nAnswer: 1\/4, 0.5, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 + 7. Let q(y) = 2*y**2 - 4. Let b(w) = -7*q(w) - 4*v(w). Let k(d) = 3. Let j(t) = 4 + t - 3 + 0. Let m(a) = 3*j(a) - k(a). Give b(m(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0006193699 to 6 dps.\nAnswer: -0.000619","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -24.83814 and -15073529.\nAnswer: -15073553.83814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -11 * -6.96\nAnswer: 76.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1259 - -1264. Is -154 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 43.785nm?\nAnswer: 0.0000043785","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -354182 and 0.07?\nAnswer: 354182.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((-20425)\/1900).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 649*v**2 - 12*v + 67. Let s(x) = 20*x - 290. Let g be s(15). Is l(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -5*j**2. Let k = 24 + 12. Let a(v) = -65*v + 36*v + k*v. What is a(g(d))?\nAnswer: -35*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 3*k - 2. Let w be ((-12)\/(-16))\/((-4)\/(-16)). Let i be t(w). Let g(r) = r**3 + 2*r**2 - 3*r - 3. Determine g(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.14 and 104.8?\nAnswer: -119.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/3 (b) -9 (c) 8 (d) -0.3 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 105? (a) 5\/2 (b) -3 (c) 21\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2. Let r(x) = -2*x + 67861. Give r(i(m)).\nAnswer: 2*m**2 + 67861","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2. Suppose 4*y = -47 + 55. Let t(z) = -44*z + 25*z + 16*z - y. What is j(t(n))?\nAnswer: -9*n**2 - 12*n - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the third derivative of -g**5\/20 - g**4\/8 - 2*g**3\/3 + 6*g**2. Let u be m(-3). Let y = u - -33. What is the remainder when 43 is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101255 is divided by 25313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5\/(((-3)\/(9\/3))\/(-1)). Suppose 2*o - 16 = 5*p, -w*o - 2*p + 16 = -24. Calculate the least common multiple of 70 and o.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 33, -36, -3.\nAnswer: -36, -3, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (2*(sqrt(425)*-2 + -3))**2 - ((sqrt(425) + 0 - sqrt(425))**2 + 0 - sqrt(425) - (2 + sqrt(425))*-4).\nAnswer: 225*sqrt(17) + 6829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*f**5 - 4*f + f + 16*f**5 + (-4*f - f - f)*(-5 - 4*f**4 + 5).\nAnswer: 26*f**5 - 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 (base 4) in base 16?\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -7*p - 87. Let a(m) = -12*m - 170. Let f(t) = 6*a(t) - 11*q(t). Give f(10).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*((-297)\/18)\/11\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + -1 + 25 + -32.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -15524 + 15524.1. Put 3, 8, t, -2\/93, 0.5 in decreasing order.\nAnswer: 8, 3, 0.5, t, -2\/93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25565 to the power of 1\/2, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1.4, 5\/4, -3\/7?\nAnswer: -1.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-14) - 1640\/56. Let v = 60 + u. Calculate the remainder when 121 is divided by v.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o**3 + 9*o**2 - 4*o + 11. Suppose 384*a = -75*a + 2295. Let z(h) = 3*h**3 - 4*h**2 + 2*h - 5. Determine a*z(p) + 2*g(p).\nAnswer: p**3 - 2*p**2 + 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 258 is divided by 146.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a year?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2254*j**2 + 12*j - 16 wrt j?\nAnswer: -4508","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38267469?\nAnswer: 3, 23, 223, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10828\/31 + 92388\/775. Let n = 230 + a. Calculate the common denominator of -51\/55 and n.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2718 (base 11) in base 7?\nAnswer: -13200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599329809?\nAnswer: 3, 13, 5122477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*c**2 + c**4 + 96*c - 96*c + (-3*c**2 + 5*c**2 - 4*c**2)*(87 - 10*c**2 - 87).\nAnswer: 21*c**4 - 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -280389\/25784 + -3\/6446. Find the common denominator of 11\/4 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 203.522 - 203.53. Do t and -6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5213775 less than or equal to -5213808?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 + 3*s**2 + 3*s - 1. Let v be p(2). Calculate the common denominator of 815\/42 - v\/(-21) and ((-1)\/(4\/(-27)))\/(-2).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -208929*q*u**3 + 2*q*u**2 + 14*u**3 + 54*u**2 - 5870 wrt q?\nAnswer: -208929*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express m + 31 - 76*m**2 - 76*m**2 - 74*m**2 + 224*m**2 in the form u*m**2 + q*m + h and give h.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11592515 to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 11*k + 1. Let o(v) = -101*v**2. Determine o(c(m)).\nAnswer: -12221*m**2 - 2222*m - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 15*j + 3. Let z be r(3). Let b be z\/12 - (2 + -1). Suppose 3*s + 12 = 2*s - 3*g, 12 = -b*g. Which is smaller: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 49855?\nAnswer: 49859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(2\/2))\/(-1)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 10*v**2. Let i(x) = 20*x. Determine i(w(j)).\nAnswer: 200*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 3\/7, 12, 1\/13 in increasing order.\nAnswer: 1\/13, 0.1, 3\/7, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89*i + 178*i - 86*i - 963 = 0. What is the remainder when i is divided by 86?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63641 divided by -81?\nAnswer: 63641\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 6*t + 5. Suppose 2*o - 3 - 7 = 0. Let b(a) be the first derivative of -3*a**2\/2 - 3*a + 34. Calculate o*b(f) + 3*c(f).\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*r + 2*u + 28 = 0, 4*r + 3*u - 21 + 145 - 33 - 31 = 28 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-4))\/((-10)\/130). Let c = d - 3. Let l = -4.03 - -3.53. What is the second biggest value in l, c, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 4, i: 2, j: 1, p: 3}. Give prob of picking 1 j, 1 p, and 1 i.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (v - 5*v + 3*v)*(18*v**2 + 37*v**2 + 77*v**2) in the form y*v + a + i*v**3 + g*v**2 and give i.\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.8 to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174711 is divided by 34913?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 18, 62, -71 in decreasing order.\nAnswer: 62, 18, 3, -3, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01653049533 rounded to six decimal places?\nAnswer: -0.01653","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**2 - p + 4. Let u be q(6). Suppose -u = -v + 4. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 171\/(-21)*39\/(-27). Let z = -34\/3 + p. What is the biggest value in 0, 5, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the first derivative of -j**3\/3 - 8. Let m(f) = -5*f. Calculate m(z(u)).\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*c - 14*c**3 + 128*c + 13*c**3.\nAnswer: -c**3 + 23*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 19*k - 695 = 41*k + 8*k, -1427 + 1462 = 2*q - q - 3*k for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -20*x + 35*x. Which is smaller: x or 2\/1713?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -378.06 and -2?\nAnswer: 376.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/839852 and -35\/2084?\nAnswer: 839852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -4*b + 1. What is the second biggest value in 1, b, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 4*m = 0. Let i be (-18)\/(-27) + 8\/6. Let r = i + m. Solve 0 = -3*o - r*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 57 - 5*p + p as z + d*p and give z.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 20 = 0, 5*b + 741 - 2136 = -5*l. Suppose 281*r - l*r = 18. Solve 2*p = 4*o - 0*p + 6, -4*o + r*p - 5 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 412389449 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1342\/(-1008) + (-2)\/3 + 2. Which is smaller: 0 or j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 + y + 5. Let r be u(4). Let a = r + 12. Suppose 5*f = 2 + 8. Solve 3 = a*i + g, f*g = i + i + 6 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22497 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30865*j*x**2 - 2*j*x + 28*x**4 + 190103*x wrt x?\nAnswer: -61730*j + 336*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1391.\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.692*-5548\nAnswer: -3839.216","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/5 - 23\/(-5). Let h(w) be the first derivative of 3*w**2\/2 - 6*w - 1. List the prime factors of h(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84\/280 + 47727619\/170 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.0338 + 191.9662. Let z = o + -191.9808. Round z to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -8*j. Let f be 2\/(-3) + 2\/(-6). Let q be s(f). Calculate the highest common divisor of q and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -242 (base 6) to base 13\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -42*u - 296. Let n be k(-7). Which is the nearest to 2? (a) n (b) -0.25 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 5:58 AM?\nAnswer: 11:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/(((l*l\/(l\/l**(5\/6))*l)\/l*l)\/l)*l\/(l*l*l\/(l**(-5)*l)*l)*l)**23)**(-39) assuming l is positive.\nAnswer: l**(10465\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 27 = 31. Put 1, -1, a in decreasing order.\nAnswer: 1, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dy when two letters picked without replacement from {o: 1, p: 1, d: 11, y: 1, r: 1}?\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 842313978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 AM and 9:43 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide (26466\/(-165))\/((-2)\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(78)\/sqrt(6) + 3*(sqrt(13) + sqrt(325)))**2.\nAnswer: -76*sqrt(13) + 4697","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -993.45 minus -0.12092092?\nAnswer: -993.32907908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.23920644 rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 10*t + 3. Let u be b(10). Let x be 2\/u - 422\/(-6). Suppose 3*s + c = 44, 5*s + 2*c - x = -2*c. Solve 4*d = -d + s for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 428798899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1776594 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-3\/2)*l*l**(-5)*l)**(7\/5)*(((l*l**(1\/2)\/l*l)\/l)**(-23\/3))**(2\/99) assuming l is positive.\nAnswer: l**(-2309\/2970)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the second derivative of 117*b**3 + 2566*b**2 + 1822*b. What is the first derivative of u(v) wrt v?\nAnswer: 702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4149040523 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 206 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11)\/(1\/(-26)*2). Suppose -2*r + 142 = 5*u, -3*r = u + 4*u - s. What is the greatest common divisor of u and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -15066?\nAnswer: -15067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -1352\/301?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-297)\/16830)\/((-5)\/25).\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 202*o**3 - o**2 + 3*o + 23. Let f(x) = -2*x**3 - x**2 - x + 1. Let u(t) = -f(t) + j(t). Find the second derivative of u(a) wrt a.\nAnswer: 1224*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 40*t**2 - 45*t - 175. What is the units digit of z(-39)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a gram in milligrams?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -39, -71, -103, -135, -167, -199?\n\"Answer: -32*g - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - 32*b**2 + 3*b - 31. What is the remainder when r(32) is divided by 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 6 - (0 + -1) - (16 - (17 + -11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2 + 6 = 0. Let l = z + 33\/4. Which is smaller: 2\/5 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o = 2*o + 25, -107 = -4*m - 3*o. List the prime factors of m + (-2 - (2 - 2)).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 205, 188, 171, 154, 137, 120?\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -188 + 582. What are the prime factors of n*1\/8*(1 + 3)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247213 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11996866, -23993725, -35990584, -47987443, -59984302?\n\"Answer: -11996859*v - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**2 - 6*x + 4. Let z be b(4). Let k = z + 9\/2. Is k <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33710213 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 1. Suppose -6 = -q*z + z. Let o be z\/1 - 6*1. Is -3 smaller than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 9b7?\nAnswer: -9b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*d - 16 = 0. Calculate the remainder when 19 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -5*n - 2. Let a(p) = p**2 + 16*p - 21. Let d be a(-17). Let x(u) = 3 + u - 1 - 1 + 0. Determine d*x(y) - m(y).\nAnswer: y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1121*g**4 - 3576*g wrt g?\nAnswer: 13452*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.5 - 0.4. Let y = -0.1 - o. Let n = 0 - -1. Is y < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = 3 - 27 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-20 - (-49)\/7)\/((-2)\/76)?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 2*g + g)*(-17 + 7 + 0)*(-2 + 0 + 1)*(-4 + 1 + 1).\nAnswer: -60*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115843 and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5518 and 3348.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/23 in -5, -0.5, 2\/7, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {w: 14, s: 4}.\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.01 - 2.21. Let i = c + 0.2. Let o = i - -4. Is o bigger than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 378 (b) -2 (c) -62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53123 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -563951\/178 or -3169?\nAnswer: -563951\/178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 65 + -139. Find the common denominator of m\/6 - 7\/14 and 38\/6 - (1 - 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 92106, 184278, 276510, 368802, 461154, 553566?\n\"Answer: 30*s**2 + 92082*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7000, 7018, 7036, 7048, 7048?\nAnswer: 7030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 2*k - 4754 = -4788 for k.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (0 - 12 - -18)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2622113 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 4*h - 5 = 5*h, 2*s - 5*h - 19 = 0. Suppose 2*g = -s + 10. Let j be g - 3 - 9\/5. What is the third smallest value in -1\/2, 1\/3, j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**2)))**(-31) assuming z is positive.\nAnswer: z**(-93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16194561*x**3 + 578808849*x**2?\nAnswer: 97167366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -70208.882 + 70065. Let f = 144 + m. Let h = f + -0.018. Which is the closest to -0.2? (a) -2\/13 (b) h (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0534 * 43\nAnswer: -2.2962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + l = -212, 0 = d - 2*d + 4*l + 89. Calculate the remainder when d is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*t + 2129 - 1141 = 0. What is the highest common factor of 1378 and t?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzaazzz. Give prob of picking 1 a and 1 z.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -636333 + 74409.\nAnswer: -561924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -157.1 + 157. Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 2. Let b be n(6). Suppose 105 = b*q - 3*q. Let s(i) = -i**2 + 14*i + 23. Calculate the smallest common multiple of s(q) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 17*o**2 - 30*o + 3. Determine x(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 119*p**3\/3 - 9380. Let z(b) = -22*b**2 - 3. Give z(t(u)).\nAnswer: -311542*u**4 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 6\/7 (c) -2\/7 (d) -78\/19 (e) -0.2 (f) -2.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 31*u**2 + 3*u + 2. Let o be f(-2). Let s be (15\/9)\/(3\/27). Calculate the highest common divisor of o and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 9:40 PM?\nAnswer: 8:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, 1129, -81, -5, 1, 4, 8.\nAnswer: -81, -5, -3\/5, 1, 4, 8, 1129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11015919?\nAnswer: 3, 23, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ia when two letters picked without replacement from maiiy?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30828*s**6 + 1048*s**5 - 6*s**2 + 162*s - 9329.\nAnswer: 3699360*s**3 + 62880*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-17 + (-11 - (-13 + 1)) + -7).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4410 and 107841?\nAnswer: 158526270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 2785994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kbbbbbkkbk. Give prob of sequence kbb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*t**2 + 129*t**2 - 333*t + 671*t - 338*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(18\/12 + -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 3*j - 16 = 0 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 9:54 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10965.6 + -10966. Sort 1\/6, -248, b.\nAnswer: -248, b, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ufu when three letters picked without replacement from ijiungf?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 338 is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -202161666 (base 7) to base 9\nAnswer: -24170143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*-0.028617\nAnswer: -0.0114468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5320 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 137*r = -56*r - 1351 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 5*r - 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 9 = 2*b. Suppose -81 = b*a - 0*a. Let d = a - -40. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -3 - 91\/20*l**5 - 4*l**4 - 8*l**2 + 49\/30*l**6 + 38\/3*l**3 - 29*l. Find u, given that p(u) = 0.\nAnswer: -1, 2\/7, 4\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 3 + 2*r)*(-3 - 1 - 2) - 3*r + 0*r + 0*r)*(0 + 3 - 6).\nAnswer: 45*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/8, 0.4, -9, 0.049, -9.7?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + 6 - (3 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 299 > 304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.006 - -0.058. What is t rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 2. Let a(c) = -c**2 - 2*c + 3. Let z be a(h). What is the nearest to 1 in -3\/2, 2\/9, z?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 - 26*z - 107. Determine o(-19).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q**3\/7 + 75*q**2\/7 + 86*q\/7 - 24\/7 = 0.\nAnswer: -4, -2, 3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12796, 22, 1.\nAnswer: -12796, -2, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6680.343ml?\nAnswer: 6.680343","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 - 7008*h + 138588100.\nAnswer: -4*(h - 5075)*(h + 6827)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-2*k**2 + k**2 + 10*k**2) - 3*k**2 - k**2 + 6*k**2 - 3*k**2 + (k**2 + 3*k**2 - 5*k**2)*(-3 + 0 + 2) + 7 - 7 + 5*k**2.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 177331.77 days?\nAnswer: 25333.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -881 = 5*v + 185*v + 639 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -8969 divided by 6\nAnswer: -8969\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5600, 11198, 16802, 22412, 28028?\n\"Answer: 3*l**2 + 5589*l + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1434902870+-21\nAnswer: 1434902849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_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: Multiply -3 and -0.022.\nAnswer: 0.066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 510164, -0.1, 4, -3\/2 in decreasing order.\nAnswer: 510164, 4, -0.1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4 and -3.36447.\nAnswer: 0.63553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.4 - -6.6. Let v = 3 - u. Let p = v + 5.1. Round p to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 63\/(-14)*(-2)\/3. Suppose -3*o + b + 73 = 0, 5*b - 49 - 54 = -y*o. What are the prime factors of o?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1420363?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1565, -3122, -4673, -6218?\n\"Answer: 3*x**2 - 1566*x - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a meter in centimeters?\nAnswer: 980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(250))\/sqrt(5))**2.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-12)*0)\/1. Let y(s) = s**2 + 4. Let j be y(p). Suppose 5*w + 25 = -2*x - 0*x, 0 = -j*x + 2*w + 10. Which is smaller: -2\/5 or x?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3256.\nAnswer: 2, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-119)\/(-11) - (-10)\/55. Let t = i + -8. Solve t*g = 4*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -43 + 15. Suppose -5*s + 181 = 6. Solve -p - 11 = -5*a, -4*u = 5*a - s for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of -5*f**4\/12 + 11*f**3\/6 - 17*f. Let v(k) = 3*k**2 - 7*k. Give -5*d(a) - 8*v(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/303350 and -91\/485360.\nAnswer: 2426800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + 13 + -8 - (19 + 2)) + 54.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 958*c + 1493*c - 528624 = -1220*c for c.\nAnswer: 144","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25*u + 1016 - 991 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**2\/f)**(-20)\/(f**(-3\/2)*f*f**(-4\/7)) assuming f is positive.\nAnswer: f**(-265\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((200\/(-120))\/((-110)\/18))\/(2\/2)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -997257*m + 9*m**3 + 997257*m.\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (202046\/2863)\/(2\/3*(-3)\/(-14)). Which is greater: 2959\/6 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 5*m - 14 = 2*a, 3*a + 5*m - 26 = 0. Let q be -3 + 13\/26*(50 + 0). Calculate the greatest common divisor of a and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 952 and 128996?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1632303895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((32\/(-28))\/4)\/(54\/6615*-10).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/3)*u*u)**(3\/13)*u**(-2\/7)\/u*u*u**(-8)\/u assuming u is positive.\nAnswer: u**(-775\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-64)\/12 - (-26)\/(-6)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n = -2*n - 193 - 185 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 249 is divided by 30.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the first derivative of c**4\/12 + c**3\/3 - 4*c**2 - 173*c + 185. Let l(m) be the first derivative of w(m). Factor l(s).\nAnswer: (s - 2)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -283900 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 1\/6*i**3 + 0 - 23\/3*i + 15\/2*i**2 = 0.\nAnswer: -46, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/20*(-24)\/(-21). Put -5, -7, z in descending order.\nAnswer: z, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 2*g = -10, z - 2*z = 2*g - 6. Suppose 4*u = -x - 4*x + 1667, -5*u + z*x = -2053. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 584 a factor of 669935016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5360?\nAnswer: 2, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 39418607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -194869221.\nAnswer: -4\/194869221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 200? (a) -2\/17 (b) 5\/4 (c) -2\/9 (d) -0.03 (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**4 + 0*p**4 + 0*p**4)*(-8 + 6*p + 15 - 6).\nAnswer: 24*p**5 + 4*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -2930533650 less than -372.9?\nAnswer: 2930533277.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1641 - -1622) + 107 + (-3 + 7 - 7).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -176 - -231. Suppose -8 - 44 = -4*p. Suppose r = -8*i + p*i. What are the prime factors of i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-20)*288\/216)\/((-55)\/50).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 3. Suppose -4*w + r = -145, -o*r - 16 = 4*w - 179. Suppose 4*k - 3*x - 7 = 57, 5*x + w = 3*k. List the prime factors of k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + 5*i + 30, 0 = -5*h + 3*i - 24 + 58. Solve -19*t = -18*t + h for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7880648 - -2.\nAnswer: 7880650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 is divided by (-92)\/(-5) - 16\/(-200)*-5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 9:34 AM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(-4)*0\/(-5). Let w(o) be the first derivative of 14 + h*o - o**2 + 0*o + 0*o. Let s(n) = -8*n. What is w(s(q))?\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -1 + 7. Let s(c) = -2*c - 8. Let g be s(d). Solve 11 = -3*j - g for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*z + 422 = 396, 5*z = 4*r - 31. Calculate the lowest common multiple of 76 and r.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 - 21. Let m(o) = -o**2 + 16*o - 36. Let v(a) = -a**2 + 17*a - 37. Let z(j) = w*m(j) - 2*v(j). What is the lowest common multiple of z(10) and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s = -457 + 412. Which is smaller: s or -249\/43?\nAnswer: -249\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22944.233 to the nearest 1000.\nAnswer: 23000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14970 - 13*d + 14970.\nAnswer: -13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - 2*(sqrt(112)*2 - sqrt(112)))\/sqrt(7))\/(sqrt(24)\/(sqrt(36)\/(sqrt(36)\/sqrt(3) + sqrt(12)))).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 l, and 1 g when three letters picked without replacement from ajgclgglgclgg.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/32 - 26\/8. Let z be l\/(2*(-2)\/4). Let u = 8 + -6. Solve z*b + 2*m + 5 = 0, 10 - u = -2*m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1637160969?\nAnswer: 3, 59, 9249497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*s + 23*s + 1107 = 0. What are the prime factors of s?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 1 - (2 + (-10 - -13)) - -8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -9 - -10 - (-1*299 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 30 = i. Let p = -4 + i. Let q = 8\/3 - p. Which is the second biggest value? (a) q (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1838*o**2 - 1 + 1272*o**2 - 1860*o**2.\nAnswer: -2426*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154973 and 175409.\nAnswer: 1703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 24*v - 25*v - 4*o, v + 2*o - 28 = 0. Calculate the remainder when 2125 is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - (3 + 4502\/(-270)). Let y = p + -48\/5. Which is smaller: 0 or y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*n + 11*n + 40 + 2*n.\nAnswer: -2*n + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5 times -0.049?\nAnswer: 0.0735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 3*q**2 + 3*q**2 - 15 - 12*q - 7*q**2. Let y be m(-10). Suppose 2*a - 4*o = -y*o + 22, 4*o = -3*a + 38. What is a rounded to the nearest ten?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1290993 + 61135 = 4*u. Suppose 2*y - 353968 = u. Round y to the nearest ten thousand.\nAnswer: 350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 8*n - 3. Calculate m(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-6 + 5 - 1\/(-2)). Let o be (5\/5 - d)\/(-4). Suppose 2*f + 2 = o, -2*f - 22 = 4*g - 160. List the prime factors of g.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 1:02 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -490, -986, -1482, -1978, -2474, -2970?\n\"Answer: -496*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64 = -5*r + 2*q, 72452*r - 4*q = 72449*r - q - 33 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = y + 8. Put 6, -2\/7, y in descending order.\nAnswer: 6, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -14 (b) 151816 (c) -0.25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-1)\/(-70))\/(-19*(-46)\/4370).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2999536, 2999531, 2999526, 2999521?\nAnswer: 2999516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -760.9147 - 0.0853. Let f = k + 761.00001308. Round f to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -2*k + 2\/3*k**3 - 3 - 1\/4*k**4 + 3\/2*k**2. Let r be q(3). Sort r, -4, 2 in descending order.\nAnswer: 2, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 8:04 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 17*j**2 - 14*j - 24. Let p be u(-17). Find the common denominator of (-2)\/4 + (-1 - -29) and p\/(-12) - (-2 - -1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 3*z**2. Let q(h) be the second derivative of -1409*h**3\/2 + 7164*h. Give q(o(y)).\nAnswer: -12681*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2322585?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289 - 758 = 160*v + 811 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -2, 3, 545, -0.2, -222 in decreasing order.\nAnswer: 545, 4, 3, -0.2, -2, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 314, -2, 10 in increasing order.\nAnswer: -2, 10, 314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 92 + 293. Let h = y - 132. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -656*d + 393*d - 2893 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.52229 + -0.52092815. What is r rounded to four decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 3 - -2 - 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 0*d**3 + 1\/24*d**4 - d - d**2 + 0. Let c(q) be the first derivative of y(q). Let s(u) = -u**2. Calculate c(s(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b*b*b**(-3\/2))\/b*b)**19 assuming b is positive.\nAnswer: b**(95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = h - 4*d, 2*d + 4 = 2. What is the smallest common multiple of h and 36?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -14*r - 23. Let q(p) = -5*p - 8. Let d be ((-24)\/448*-8)\/(6\/42). Determine d*u(z) - 8*q(z).\nAnswer: -2*z - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05948382 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60141 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170902 - 489568 = -34*w - 85530. Is w a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38 * -1055.2.\nAnswer: 40097.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wgw when three letters picked without replacement from gwwz?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {u: 2, s: 4, h: 8}.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -32845960 to the nearest one hundred thousand.\nAnswer: -32800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -4*w. Suppose 50 = 5*s - 5*d, s - 4*d + 7*d = 30. Suppose 38*c - 69 = s*c. What is q(c)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 5.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 2 = -2*l + 16, 0 = w + l - 6. What is h in 1\/3*h - 1\/3*h**2 - 1\/3*h**w + 1\/3 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32182071*r = -32182140*r - 345 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/66, 2, 4, -1.1, 5, 44\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -33. Let t be -2 + (-16)\/(-8) + 1\/k. What is the biggest value in t, 1\/3, -0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 4 (c) -6 (d) 1\/15 (e) -39 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 33296359 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -13*d**2 + d + 2. Let t(b) = -9*b**2 + b + 1. Calculate -5*r(g) + 7*t(g).\nAnswer: 2*g**2 + 2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8425.65km in centimeters?\nAnswer: 842565000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = v + 1, 40*v + 7 = 3*r + 41*v for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5240?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2998676 and -1.\nAnswer: -2998676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9\/(-24)*40\/(-18). Is y at most as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (29 - 29)\/(-2 - -4). Solve -8 = 2*n, a*y + 3*y = -4*n - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**2 - 34568*o - 2220544 = 0.\nAnswer: -64, 17348","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1) + -54 + (112 - (288 + -180))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, 50630, -20, 2 in ascending order.\nAnswer: -20, 2, 22, 50630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 11319 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0911 - 0.0011. What is the biggest value in -2, h, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13035647?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 3*a**2 - a**2 + (2*a - 6*a + 2*a)*(2*a - 3*a + 0*a) - a**2 + a**2 + 9*a**2.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1bc90 (base 16) to base 13.\nAnswer: 3ca56","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 r when three letters picked without replacement from nmrmnjmm.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73041 is divided by 71859.\nAnswer: 1182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1232 - 1103112320?\nAnswer: -1103120212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 51.4 + -155.4. Is 2 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20039 and 3567.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the first derivative of -3*l**4\/32 - 4*l**3 - 105*l**2\/4 + 156*l + 8617. Suppose i(u) = 0. Calculate u.\nAnswer: -26, -8, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 15779496750 from 2.6.\nAnswer: -15779496747.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.995627 months to years.\nAnswer: 0.41630225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/45)\/((-4)\/7 - -226*(-10)\/1680)?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -184*j**5 + 137*j.\nAnswer: -3680*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 253673?\nAnswer: 5\/253673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o**(-6))*o*o*o**(-2))\/((o\/(o\/o**(-2))*o)\/o**(3\/5))*((o*o**(-2))**27)**(2\/177) assuming o is positive.\nAnswer: o**(2152\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from {m: 1, y: 1, h: 3, k: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 691.64 times -7\nAnswer: -4841.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ac - -85737?\nAnswer: 85669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.3529 - -24919.\nAnswer: 24926.3529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21997751?\nAnswer: 21997751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*z + 127 + 20 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 273 + 281. Let u = -382 + m. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add 7692877.960271 and 0.2.\nAnswer: 7692878.160271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in 4\/5237, -13, -4\/3, -2\/5, -2?\nAnswer: 4\/5237","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-1)\/((-10)\/(-10)*8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-38)\/4*(-6)\/(-39). Let y = -1355\/78 + d. Let z = -1456 + 14593\/10. Find the common denominator of y and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.29 and -2.1.\nAnswer: 0.609","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 43188430?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3796 (base 12) in base 11?\nAnswer: 4813","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -403*n + 201*n + 202*n - n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -4. Let w = 405 - 390. Let c(t) = -5*t**4 - 35*t**3 - 105*t**2 - 100*t - 25. Let n(u) = -u**2 + 1. Let q(d) = m*c(d) + w*n(d). Factor q(o).\nAnswer: 5*(o + 1)*(o + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1847 + -1847. Let q(n) be the third derivative of 1\/5*n**5 + p + 0*n**3 - 11\/24*n**4 + 3*n**2 + 0*n. Find the second derivative of q(s) wrt s.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 492985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t + 0*t + 3*t + 73683681065 - 73683681065.\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - ((23 - 1) + (363 - 331)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 2*h + 14, -4*f + 2 = h + 3. Let t = 1\/3030 - 1213\/3030. Which is the third smallest value? (a) f (b) t (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 176 - -1435. What are the prime factors of v?\nAnswer: 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23918?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -82204 at most -82204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 45905 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 7*y**4 - 159*y**3 + 780*y**2 - 436*y - 192 = 0.\nAnswer: -2\/7, 1, 6, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8126153, -8126137, -8126087, -8125985, -8125813, -8125553?\nAnswer: -8125187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/13 and 7.6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + 4 - 25\/((-225)\/(-54)). Let -5\/4*q**5 + o - 35\/4*q**2 - 45\/4*q**3 - 5\/2*q - 25\/4*q**4 = 0. Calculate q.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**6 - 58892956*u**4 + 55377685*u**2 - 1?\nAnswer: 120*u**3 - 1413430944*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19992415 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*z + 16*z - 10*z - 2*z to the form a + h*z and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 27*22\/153*(-306)\/(-27)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 + (2 - -8) + (10 + -29 - -16).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 34, 7, -44, -125, -242, -401, -608?\nAnswer: -869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 19287 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, e: 3}. What is prob of picking 2 a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -c**3\/3 + 9*c**2\/2 - 15*c - 5. Let i be p(6). Let 0 + 0 - 85*j**4 - 20*j + 20*j**2 + 5*j**i + 80*j**4 = 0. What is j?\nAnswer: -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.489262 rounded to 2 dps?\nAnswer: -5.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49266 is divided by 2141?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -74 - -69. Let o = 2.1 - 1.7. Which is the nearest to -2\/57? (a) t (b) 1\/4 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/484 and -29\/1107392.\nAnswer: 1107392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -15335 (base 6) to base 11\nAnswer: -197a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 348\/(-58) + (3 - -5). Solve 0 = -5*j - v + c, 10*v - 18 = -3*j + 15*v for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64.7 + 65.7. Sort 5, 1\/82, u, -0.4.\nAnswer: -0.4, 1\/82, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 311918 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 9*h**3 - h**2 + 201*h - 1939. Is 254 a factor of v(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1168938124 and 12.\nAnswer: 3506814372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -56*z**3 + 102*z**2 + 7*z - 7. Let i(u) = -19*u**3 + 34*u**2 + 2*u - 2. Let v(l) = 7*i(l) - 2*p(l). What is the third derivative of v(q) wrt q?\nAnswer: -126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28d2ab (base 14) to base 15\nAnswer: -1d077b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2448))*2 - (sqrt(2448) + 0)**2*-1) + sqrt(2448)*2*4*6 + 3.\nAnswer: 2449 + 600*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50062 plus -0.1?\nAnswer: 50061.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -136? (a) -2 (b) 1 (c) -9\/37 (d) 0.2 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/88)\/(72\/9)\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2845, 3346, 3847?\nAnswer: 4348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from otdodgdooohtx. What is prob of sequence ddt?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (66\/(-110))\/(7 + -7 - (-26)\/20)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39012737 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 4*u + 9 + 13, -3*u = 4*z. Let l(s) = -3*s - 5. Let x be l(z). Solve 0*o - x = o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s + 10132 = 9862 for s.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1635960885 to the nearest integer?\nAnswer: 1178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8275 - 0.7875. Which is the closest to m? (a) 0.2 (b) 2\/3 (c) -2\/7 (d) 6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -640 times 0.01\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -924947136 to the nearest one million.\nAnswer: -925000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112325259, 224650509, 336975759?\nAnswer: 449301009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (120\/(-45))\/(4\/6). Which is the third biggest value? (a) m (b) 3\/4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 539*u**2 + 192*u**2 + 8 - 813*u**2.\nAnswer: -1160*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 7, l: 1}. What is prob of picking 4 v?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.006 - 61.006. Let p = -58 - g. Which is the closest to 0.1? (a) -0.4 (b) -2\/13 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of m**4\/4 + m**3 - 3*m**2 - m + 12. Determine p(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2644057 (base 8) to base 15.\nAnswer: e911a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 5*a - 66 = 2*a, a + 50 = 2*y. Let x = y + -12. Calculate the remainder when x is divided by 20\/3 + (-96)\/36.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6*t**3 - 3*t**2 - 4*t - 1. Let n(c) = 13*c**3 - 5*c**2 - 8*c - 2. Let m(o) = -5*i(o) + 3*n(o). Let f(k) = 4*k**3 - 2*k. Give -5*f(s) + 2*m(s).\nAnswer: -2*s**3 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 17*z**2 - 2009*z + 2. Calculate x(117).\nAnswer: -2338","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 597*f + 244*f + 702*f - 200332 = -184*f for f.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l. Let j(p) be the second derivative of -p**3\/6 + p**2\/2 + 2*p. Let h(m) = j(m) - y(m). What is the derivative of h(v) wrt v?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1070*k = 1083*k + 91 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 4*n. Let g(t) = 7*t**2 - 24. Give g(o(s)).\nAnswer: 112*s**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 178*b. Let s(y) = -5*y. Calculate s(l(f)).\nAnswer: -890*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203910133 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -235106 divided by -38.\nAnswer: 6187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - r + 4*r = 0. Let a be (-19 + 17)*(-2 + r + 1). Suppose -4*x - 12 = a*z, -3*z + z - 2 = -x. What is z rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**5\/7 + 394*y**4\/7 + 19988*y**3\/7 + 57620*y**2\/7 + 56842*y\/7 + 18818\/7.\nAnswer: 2*(y + 1)**3*(y + 97)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6927.609 to the nearest ten.\nAnswer: 6930","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*d - 42. Solve 3*y = -12, -u + 5*y + d = -2 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b417 (base 13) in base 9?\nAnswer: 81250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -307 + 1767*s**3 - 234*s**3 + 304 + 423*s**2 wrt s.\nAnswer: 9198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -3\/8, 8, -4 in decreasing order.\nAnswer: 8, -3\/8, -2\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/42807 and 42\/1363?\nAnswer: 58345941","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = p + 23, -3*p - 4*g + 6 + 20 = 0. Suppose 5*n = 4*n + p. What is the derivative of -5 + m**n + 0 + 2 wrt m?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -212*a + 105*a + 106*a + d, -3*a = -2*d - 11 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -326136 + 15*f**3 + 163085 + 29*f**2 - 29*f**2 + 163051.\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (4 - 6)) + 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i + 233990 = 16565. Let p = i + -5108. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1243 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 8 (b) 53 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*f - 4)*(2*f - 7*f + 4*f) + (-2*f**2 - 4*f**2 + 5*f**2)*(-1 + 4 - 2).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8824 + 43510. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -15 + 15 + b**2 + (-6*b**2 + 0*b**2 + 4*b**2)*(1 - 1 - 2) - 5*b**2 + 32*b**2 - 10*b**2 + 0 + 2*b**2 + 0.\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 5*s + 5 = 0, -a + 5*s + 15 = 2*a. Let z = 12 - -3. Solve -5*i = -a - z for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -99043 + 1?\nAnswer: -99042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 29917 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4111 - -8219\/2. What is the fourth biggest value in 0.5, m, 63, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -104*c**3 - c**2 - 2*c - 4. Give f(-1).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + sqrt(180) + 0 + ((sqrt(180) - 2*sqrt(180))*-3 - sqrt(180)))*-4 + -2 + -3)**2.\nAnswer: 37152*sqrt(5) + 934969","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of 0 + 0*w + 1\/10*w**5 - 1\/120*w**6 - 10*w**2 - 4\/3*w**3 + 1\/12*w**4. Let k = 6 + 0. Determine t(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14059 * 82.7\nAnswer: -1162679.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51891 is divided by 36.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 + b - 2. Suppose -13*p + 70 = -10*p - 5*c, 4*p + c - 55 = 0. What is the remainder when q(5) is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 s when three letters picked without replacement from qdqimss?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4951*g - 2. Let t be u(1). Find the common denominator of 2720\/(-210) + (-2)\/(-7) and t\/(-595) + (-2)\/(-17).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 229175809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 - 27.1. Let s = i - 2.9. Let z = 240 - 239.8. What is the second smallest value in z, s, 2, 4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 4*v + 4, -5*t = 18*v - 19*v - 15. Let d be (t\/13)\/((-780)\/(-1014)). Let 0 + 2\/15*p**5 + 0*p**2 + 0*p - d*p**3 - 4\/15*p**4 = 0. What is p?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*d - 4*g - 7 + 1, 2 = 3*d - 5*g for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60 - (-13 - -47) - (0 + -49).\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j + 100. Let u be i(-35). Let g(a) = -a**2 - 45. Let n be g(0). Let q = u + n. Calculate the lowest common multiple of 14 and q.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) 22 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 658424?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 greater than -2899\/128?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 184259 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - 4*r + 4 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 30 and 1110?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19167 + 3*x + 19137 - 38304 - 5*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 + 69 + (1 - (-11 - -12) - (-8 + -1)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 9:39 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 29 + 1. Suppose -m = b - 15. Let p be (-69)\/(-12) - 2\/(-8). Solve -m*n + 2*n = p for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**3 + 6*z**2 - 6*z + 7. Let v be u(5). Is v equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240490247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 76273 to the power of 1\/2, to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 6\/5*o**5 + 3\/8*o**4 - 6*o**3 + 3*o + 15\/4*o**2 + 7. Determine p so that m(p) = 0.\nAnswer: -2, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from snisq. Give prob of sequence qi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 76. Let z = -14 + l. Is z a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*w + w - 2*w)*(1 + 0 + 2) - 2*w + 2*w - w)*(-6*w + w + w)*(w**3 - 114*w + 6 + 114*w).\nAnswer: 16*w**5 + 96*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 64*k*m**4 - 113*k*m - 4777*k wrt m?\nAnswer: 256*k*m**3 - 113*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 0 + 9 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5261*z**2 - 106*z - 15*z**3 + 5279*z**2 + 19*z**3.\nAnswer: 4*z**3 + 18*z**2 - 106*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the second derivative of 0 + 0*k**2 + 1\/48*k**4 + 2*k - 1\/24*k**3. Factor z(b).\nAnswer: b*(b - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 274?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 - 51*y**2 + 49*y + 7. What are the prime factors of b(25)?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -2416?\nAnswer: 2414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 899 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**2 - 7*t**2 + 726*t + 0*t**2 + 13*t**2 to c*t**2 + a*t + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((18\/(-15))\/(33\/(-110)))\/34\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express o**3 - 4*o**3 + 5*o**3 + (-o - 2*o + 5*o)*(-4 + 4 - 2*o**2) + 8*o**3 - 312*o**3 - 37*o**3 as w + j*o**3 + b*o + v*o**2 and give j.\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -30*3\/(-4)*(-8)\/(-6). Let s = -6 + n. Calculate the smallest common multiple of 4 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*y - 6166 - 1966 = 0. Do -24 and y have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -34*t**3 + 3*t**2 + 3*t + 37. What are the prime factors of a(-5)?\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006032 rounded to six dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - -3*-4*sqrt(153) - sqrt(153)) + sqrt(153))\/((sqrt(81)*-2 - sqrt(81))\/sqrt(9)).\nAnswer: 11*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.52 + 7.52. Which is the biggest value? (a) -12 (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 8*n**2 + n - 6. Let d(u) = 15*u**2 + 2*u - 13. Let p = -361 + 352. Give p*h(v) + 4*d(v).\nAnswer: -12*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 549f (base 16) in base 7?\nAnswer: 120105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10022021 (base 3) in base 15?\nAnswer: aaa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*m - 5*j, 16 = 2*m + 2*m - 2*j. Suppose 4*b = m*b + 10, 4*x = 4*b + 1560. What are the prime factors of x?\nAnswer: 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -640 (base 10) to base 15\nAnswer: -2ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -85ee0 (base 16) in base 15?\nAnswer: -ac81b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -12.215, 1\/7, -4\/11?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1197387 divided by -7\nAnswer: -1197387\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 9*q - 17*q**2 - 11*q**2 + 27*q**2. Let d be a(9). Suppose -3*t = d, 3*p - t = 47 + 217. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*d**2 + 0*d**2 + d + 7*d**2.\nAnswer: 14*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1225073 to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 87468011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-150)*(-25)\/10*294\/441.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xqbqfqwbbbqqsfbwq. What is prob of sequence bfqw?\nAnswer: 1\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -130.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**9\/15120 - m**8\/8400 - m**7\/4200 + m**6\/1800 - 10*m**3\/3 + 6. Let y(i) be the third derivative of g(i). Factor y(z).\nAnswer: z**2*(z - 1)**2*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1352*p - 48*p + 177*p - 249*p + (3 - 2 + 1)*(3*p + 3*p - 3*p).\nAnswer: -1466*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 10 and 60077251?\nAnswer: 60077241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/21? (a) 7 (b) -3\/10 (c) -1 (d) -5 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 788628 and 460033.\nAnswer: 5520396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -62*p*w**2 - 5*p*w - 1350977*p + 21933*w**2 with respect to w.\nAnswer: -124*p*w - 5*p + 43866*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6362422 to three decimal places.\nAnswer: -0.636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v + 2 - 2 - 3*v + 3*v - 2*v + (-1 + 0 + 2)*(-2*v + 13*v + 0*v) - 19*v - 19*v + 22*v in the form o*v + k and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 11761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 6 + 29 - 7 + 466*j**2 + 2*j - 8 to s*j + b + a*j**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t**3 - 10*t**2 - 172*t + 53. What is y(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6288.833 kilograms in milligrams?\nAnswer: 6288833000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = i - 3*p, 35*i - 3*p = 31*i + 15 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18857, 3, 4, 31, 0 in descending order.\nAnswer: 18857, 31, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 10, -13, -6, -17 in decreasing order.\nAnswer: 10, 4, -6, -13, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + 434*c**2 - 5*c - 120*c**2 - 29 to the form a*c**2 + l + h*c and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2*-1*7*(96\/(-3))\/(-320)\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (92\/(-1518))\/((-2)\/(-36)*-8).\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -50.89 to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6*w = w + 19, l + 3*w - 11 = 0. Which is the closest to l? (a) 0.4 (b) -3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**2 - 1 - 3*j + 0 - 8 + 2. What is the smallest common multiple of 4 and u(-3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9848588?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of -23*z**2\/2 + 8*z - 4. Let t(m) = 35*m - 12. Let x(r) = -8*c(r) - 5*t(r). What is the tens digit of x(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1582 by -226.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 1388.\nAnswer: 11104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*c + 12 = -120 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(132)*-6)\/sqrt(12).\nAnswer: -24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -638 - -641. Let h be (2\/s + 2)*(-28)\/(-112). Let i = -0.45 - -0.05. Which is the biggest value? (a) h (b) -0.27 (c) i (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 39937*l**5 - 2*l**4 - 2*l**3 + 2180*l**2 + 282 wrt l?\nAnswer: 2396220*l**2 - 48*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -698*u - 684*u + 1792*u - 406*u.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, o: 1, h: 1, a: 1, j: 1, r: 1}. Give prob of picking 1 o and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62.57 - 63. Let j = 3053 + -3058.43. Let r = j - f. Is 1 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 387206*g**2*z**4 + 5*g**2*z + g*z**4 - 76169*g*z**2 wrt z?\nAnswer: 9292944*g**2*z + 24*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 26, 28, 30, 32, 34?\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (6 - ((4 - 1) + 2)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30129 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 2*o = -94 + 97, 5*m - 5*o = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.6 minus 3522515316?\nAnswer: -3522515314.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*v**2 - 4*v**2 + v**2)*(-12*v**2 - 9 + 13*v**2 + 2*v + 10) in the form s*v**3 + d + n*v + i*v**4 + q*v**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -5*l + v - 0, 0 = -3*l - 5*v - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 116. What is the greatest common divisor of l and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -31?\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-66) + 0)\/(854\/(-1708))\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -384988 divided by 4.\nAnswer: -96247","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2*q = 11, 4*g - 3*q = 3 + 15. Suppose -9*k + 248 = -7*k. Suppose o - k = -g*o. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -41463\/51286 or -1?\nAnswer: -41463\/51286","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**3 - 2\/3*s + 0 - 5\/3*s**4 - 3*s**2 = 0 for s.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3565798*o**4 + 3565798*o**4 - 972*o**5 + (-o**3 - o**3 + 3*o**3)*(3*o - 3*o - o**2) + 2*o**5 - 3*o**5 + 3*o**5 + o**3 + 2*o**5 - o**3.\nAnswer: -969*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-2 + (2 - 1)) - 5) + -20?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -13. Let q = -10 + w. Let z(s) = -4*s + 4*s - 1 + 9*s. What is z(q)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203838031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-2) + 9\/9. Suppose x*o - 14 = -8. Solve -6*m = -o - 22 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 24 = -4*i, -4*p - 702*i - 109 = -733*i for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 17136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4 smaller than -3257\/2876?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a6b - -5?\nAnswer: -a66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vddvvdvdpzpdivv. What is prob of picking 2 p and 1 d?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4810281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2057) + sqrt(2057) + 5 - (sqrt(2057) + (1*(sqrt(2057) - (4 + sqrt(2057))))**2))*-4.\nAnswer: -44*sqrt(17) + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7\/16, -0.04, -53, 0.1?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the first derivative of j**2 - 9*j + 3. Suppose 15*z + 26 = 20*z + g, 2*z = -4*g - 4. What is y(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*44\/24*((-2988)\/(-7304))\/((-1)\/(-2)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**4 + 7*o**2 + 3*o**4 - 25*o**2 + o + 11*o**2 + 8*o**2 + 11 as m*o**2 + y + g*o**4 + r*o**3 + f*o and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*n - 273*z + 275*z, 4*n = -z + 15. Solve n = -4*x - 4*u, -4*u - 10 = -2*x + 4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 3*b + 20 = y, 5*y = -4*b + 28. Let t be 30\/18 - (-210)\/63. Solve 0 = t*q - 2 - y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.9 and -301.25?\nAnswer: 572.375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 6*o - 2. Let u be 35\/14*(-12)\/15. Let z = 4 - u. What is the least common multiple of z and m(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(1573)*-2)**2 + sqrt(1573).\nAnswer: 11*sqrt(13) + 25168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*x**3 - 6*x**2 + 64*x**2 + 31*x**2 wrt x?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - u - 3*u)*(-2 + 2 + 2*u) + (-4*u + u + 0*u)*(523 - 523 - 720*u).\nAnswer: 2156*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1239\/7*(26 - (-264)\/144*-14)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/3468753 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let l = 45 + -23. Calculate the smallest common multiple of 32 and l.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 13, 10, 3, -8, -23, -42, -65?\n\"Answer: -2*w**2 + 3*w + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 - (26 + (-52 - -25)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1816 - d - 1816.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -557829, -1113314, -1668799?\n\"Answer: -555485*q - 2344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/1903 - -3866\/28545. Which is the fourth biggest value? (a) -2 (b) k (c) -2\/9 (d) 79\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -792 + 395 + 399 - 2*c**2 - 2*c. Give p(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17683 + -17570. Which is the biggest value? (a) -0.1 (b) i (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 202559.89*30\nAnswer: 6076796.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2*y + 0 + (-2 - 1 - 1)*(-4 + 2*y + 4) + 1200*y + 642*y - 2694*y.\nAnswer: -858*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17.6 + 3.6. Let d = -14.0628924402 - -0.0628926602. Let y = d - f. What is y rounded to 7 dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -29 (c) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from zzzpzzzz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w - 18 = -9*w. Let g(y) = 4*y**2 - 6. Let c(s) = -8*s**2 + 11. Give w*c(i) + 11*g(i).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.53 less than -146338925251?\nAnswer: -146338925249.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1361 - 738 + 2106 + 3*m.\nAnswer: 3*m + 2729","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.31 + 0.31. Which is the closest to 15? (a) -4 (b) w (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/96382 and 107\/208.\nAnswer: 771056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4788.2 and 0.\nAnswer: -4788.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 3 = f - 3, y = 5*f + 27. Let a be (f\/(-8))\/(4\/16). Is 2\/a - 56\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/4*46\/(-115)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -607\/820 - 2\/205. Let i = 120.5169 + -0.1169. Let s = i + -120. What is the nearest to -2\/7 in v, 0.02, s?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, x: 1}. What is prob of sequence xuu?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*g**4 - 4*g**4 - 3*g**4 + (-2*g**2 + 0*g**2 + g**2)*(-22*g**2 - 6*g + 6*g) + 2*g**2 - 3*g**4 - 2*g**2 + (1 - 1 - 2*g)*(3*g**3 + 2*g**3 - 3*g**3).\nAnswer: 13*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - (351\/(-91) - 11))*(-2)\/(-6).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3286602701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2 + 1)*(-1 - 2*m + 1) + (2 + 7 - 2)*(-7*m + m - 3*m) + (m - 5 + 5)*(-10 + 3 - 1).\nAnswer: -67*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrj when three letters picked without replacement from {r: 2, j: 17}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a - 4*a + a)*(-15 + 23 - 12)*(-4*a + 2*a + 3*a) to the form u + x*a + h*a**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -334*b. Let i(z) = 19*z**2. Give i(j(h)).\nAnswer: 2119564*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - s - 137 = -32, f = -5*s + 21. Let o be -3 + 123\/39 + (-4)\/f. Let g be 0\/(4\/(-4) - (-2 - o)). Solve g = -4*w - 10 - 10 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -18443, -0.3, 3, -0.5, 5\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4997 + 10*v**2 - 2258 - 2739.\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -67\/136 + 711\/2720. Calculate the common denominator of n and 867\/30 - (47 - 26).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o = 12. Let h = -66 - -112. Let u = o + h. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4197 - 2965. List the prime factors of p.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60170.41t in milligrams?\nAnswer: 60170410000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -23 (b) -14 (c) 6\/11 (d) 2\/25 (e) 50\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = 4*g - 9*g + 10, 0 = g + 4*a - 2. Let r(h) = -8*h**3 + 3*h**2 - 5*h + 4. Let f be r(g). Which is smaller: -117\/2 or f?\nAnswer: -117\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 49489076939871?\nAnswer: 49489076939871.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4240 + 507?\nAnswer: 4747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58493 is divided by 128.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 1908 = -4*n - 989, 4*n + 2320 = 4*o. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**5 + 5*k**4 - 3*k**3 - 12*k + 10*k + 6*k - 5*k**2.\nAnswer: -k*(k - 4)*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -2*w**4 + 2*w**3 + 2*w**2 - 2*w. Let c(b) = -23*b**4 + 102*b**3 + 225*b**2 + 20*b. Let t(u) = -4*c(u) + 36*x(u). Solve t(q) = 0 for q.\nAnswer: -2, -1\/5, 0, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3438378617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8128 + -8123. What is the closest to -1.8 in j, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*4\/(-24)*(-18)\/(-48)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -t + 7. Suppose -176*j + 56489 = -18794 + 9283. What is the smallest common multiple of j and t?\nAnswer: 750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 5:10 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 109880*n - 79*n**2 - 109880*n.\nAnswer: -79*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -2*p**2. Let y(j) = -34*j + 3998. Let w(o) = -9*o + 998. Let b(v) = -15*w(v) + 4*y(v). Calculate u(b(z)).\nAnswer: -2*z**2 + 4088*z - 2088968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-28)\/(-8)*4\/7. Suppose -3*y + 43 = u*y + 4*s, 0 = 3*s - 6. What are the prime factors of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -43 + 7. Solve 5*b - y - 10 = 0, 4*y - 5*y + a = 3*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -4*b + 69. Calculate z(18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2a4a895 - -9?\nAnswer: -2a4a889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11905?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 232 = -6*c. What is the greatest common divisor of c and 116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 279*m + 268*m + 277*m + 281*m - 1131*m.\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - -14 - (-9 - -1)) + (102 - 129)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - ((-6 - -14) + -3) - -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*s**4 + 2*s**2 - s**2 - 5*s**4 - 3*s - 1 - 2*s**3 + s**4 in the form p*s**3 + n + v*s**2 + z*s**4 + q*s and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4328671 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -23 > -1.19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*r - 20. Let a(y) = y**2 - 4*y + 2. Let v be a(3). Sort v, 3, r.\nAnswer: v, 3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 15 - 3 = 0. What is the lowest common multiple of 4 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 27\/4 of a millimeter?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 779 + 16*t - 3*t**4 + 753 + 7*t**2 - 1527 to n*t**2 + y*t**3 + v + f*t + h*t**4 and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 12, 4*a - 1 = 3*w - a. Let u be -3*(w\/28 + (-15)\/36). Solve -5*z + 20 = -5*r - 0, -z = r + u for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tqtt when four letters picked without replacement from tqtttqttqqqttqttttt.\nAnswer: 143\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lplf when four letters picked without replacement from fffupllufurfmlf.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -39551, -158242, -356061, -633008?\n\"Answer: -39564*d**2 + d + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5563*b**2 + 5819*b**2 - 16957*b**2 + 5570*b**2.\nAnswer: -5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -70, -3, 7?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 + 15*b - 7. Let y be x(13). Let w = 39 - y. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -89, -340, -759, -1346, -2101?\n\"Answer: -84*p**2 + p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.6334 - -0.3666. Let p = 3.2 + -3. Which is the third smallest value? (a) 0.3 (b) y (c) 0.06 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -266888659 to the nearest ten thousand.\nAnswer: -266890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 4 = 2*f. Let q be (3 - -1 - f) + 1. Suppose -p**5 + 0*p**4 - p**q - 3*p**4 + 5*p**4 = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7.52 or -1?\nAnswer: -7.52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g**2\/g))**(-4\/23) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -2*i**3\/5 - 1239416*i**2\/5 + 2478856*i\/5 + 1983072 = 0.\nAnswer: -619710, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 40\/(-60)*(3 + 0). Let v = -4.8 - -1. Let d = 1.2 - v. What is the smallest value in z, -0.4, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-27)\/(-38)) + 140\/(-35).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2047 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 x(d) = 1422*d**2. Let a(o) = 2*o**2. Calculate x(a(n)).\nAnswer: 5688*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 65688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(1\/3 + (-17)\/(-102)). Suppose 3 = 5*t + o. Which is bigger: -2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/6, -0.3, -34, 69 in descending order.\nAnswer: 69, 1\/6, -0.3, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40844.\nAnswer: 2, 10211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769821909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/4 + (-171)\/18. Let z be ((-6)\/4)\/(3\/r). Solve 2*g = z + 1 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1012044 (base 6) in base 15?\nAnswer: -e527","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 292*g - 24 = 298*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z + 31 = 64. Solve -z*t = -g, 0*g = -4*t + 4*g - 8 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*c = -10, -l + 7*c = 4*c + 15 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5953900*s**4 + 3446001.\nAnswer: 23815600*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - 33 - g.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 11. Solve 3 = 5*g - b for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) 0 (c) 5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Evaluate -18 - (-4 - 1 - 0 - 1) - 0.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g**3 - g**2 + 6*g**3 - 1 + 1 + 1 - g. Let p(v) = 4*v**3 + 2*v**2 + 2*v - 4. Suppose -7 = -4*x - 3. What is x*p(u) + 2*k(u)?\nAnswer: 2*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/(-10) + (-1038)\/865.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 107994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 486163*o**5 + o**2 - 68*o + 528?\nAnswer: 29169780*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -66*z**5 - 424*z - 407. Find the first derivative of p(c) wrt c.\nAnswer: -1320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5\/7 + 6028*a**4\/7 - 155262*a**3\/7 - 340684*a**2\/7 + 155264*a\/7 + 47808 = 0 for a.\nAnswer: -2, -1, 1, 28, 2988","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -119141, -476555, -1072245, -1906211, -2978453?\n\"Answer: -119138*s**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-8\/7)*u)\/u*u**(1\/16)*u)**(1\/3)*(u**12*(u\/u**(-7))\/u)**(-29) assuming u is positive.\nAnswer: u**(-184921\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, 1, 0.17, -5, 6, 0.3, -2\/587?\nAnswer: -2\/587","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -18. Suppose 6*t - r*t = 2. Let d be (t\/2)\/((-2)\/(-10)). Solve 23 = -5*f - w, 0*w = -d*f + 3*w - 11 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 12\/5*j**3 + 3*j**2 - 6\/5*j + 3\/5*j**4 = 0. What is j?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.7 + -19.76. Suppose 5*n + 20 = -5*q, 4*n = -q - 1 - 3. Which is the closest to 0? (a) n (b) -2\/9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490508 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -294*j + 20 = -298*j, 0*u + j = -0*u + 3*u - 44 for u.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34157.\nAnswer: 34157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*c - 5600 = 0, -15*i - 4*c = -12*i + 4200. Round i to the nearest one hundred.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-3))\/((-16)\/(-24)) - -4. Suppose 29 + 41 = h*u. Suppose 0*w = -w + u. Is w a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n - p + 1, -n - 4*p + 3 = -6*p for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-91)\/26*(47 - 2441068\/51940)?\nAnswer: -2\/265","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1546, -5, 24, 30 in descending order.\nAnswer: 30, 24, -2, -5, -1546","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 42039.9?\nAnswer: 42040.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of 13*s**6\/3 + s**5\/5 - 75*s**2\/2 + 56. What is the second derivative of r(i) wrt i?\nAnswer: 520*i**3 + 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11\/3 - -152\/21. Suppose t + t = -4. What is the common denominator of (-58 - (t - -2))\/9 and k?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 483808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -764, -767, -770?\n\"Answer: -3*v - 761","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(13) + 4 - 2*sqrt(637)).\nAnswer: -13*sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -54b - -354?\nAnswer: -1c7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1) + 6\/(-4)*-22. Let s(y) = 23*y**2 + 17*y - 17. Let g(v) = -4*v**2 - 3*v + 3. Determine r*g(c) + 6*s(c).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (166\/4)\/(1\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a millennium in decades?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-54 + -2))\/1. Let w(s) = 3*s**3 + 13*s**2 + 9. Let p be w(-4). Let j be p + (-3)\/(5 + -4). Calculate the greatest common divisor of t and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 8. Calculate the greatest common divisor of 121 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -6\/5 + 8\/5*l - 2\/5*l**2 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000007884417267 to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12413464\/9 - 50161165\/36. Let o be (-4)\/(-6) + 126903\/9. Let r = q + o. Calculate the common denominator of r and -55\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 1. Let n = -227.02 + 223. Let r = q + n. Which is smaller: -0.1 or r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18504 + 18304. Is s smaller than -195?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(-2\/7)\/i)\/i)**(-38)\/(i**(-5)*i\/(i*i**0)))\/(i\/i**(-3)*i\/(i\/(i\/((i*i*i**4*i)\/i)*i))*((i**(-1)*i)\/i)**(2\/31)) assuming i is positive.\nAnswer: i**(19947\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1307 + 2127. Does 43 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, q: 3}. Give prob of picking 2 q and 2 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, l: 1, y: 3}. Give prob of picking 2 y.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**4 + 2695*m**3 - 5410*m**2.\nAnswer: 5*m**2*(m - 2)*(m + 541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 5*p + 84. What is n(-12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*(-65)\/(-90) + ((-10)\/6 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50997870.\nAnswer: 2, 3, 5, 7, 11, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/((t**4*t*t)\/t)*t))**(-2\/9)*(t*t**(5\/2))\/(t\/(t*t**0*t)) assuming t is positive.\nAnswer: t**(65\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -283, -280, -277, -274, -271?\n\"Answer: 3*h - 286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000081752 rounded to 6 dps?\nAnswer: -0.000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 1:17 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 12*z - 24. Let j be m(5). Let d = j - 3. What is the remainder when d is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20895204?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 15 = -3*r, 2*v - 729*r + 734*r = 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from uuuuuu?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222 - -22?\nAnswer: 1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 16*z**2 + 29975. Let o(x) = -8*x**2. Calculate p(o(w)).\nAnswer: 1024*w**4 + 29975","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 532 and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 1 = 2*v + 4*o, 0 = 3*v + o. Let h = -5.616 + 0.686. Let i = 0.07 - h. What is the closest to v in 0.5, i, 0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qzqzzzzzzzqzzz. Give prob of picking 1 q and 3 z.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3447877 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*g**2 + 6622*g + 13 - 6600*g - 13.\nAnswer: 30*g**2 + 22*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11736294 is divided by 355644?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-35)\/15) + 209\/132\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60817863*j - 60817863*j + 57*j**3.\nAnswer: 57*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + 2*sqrt(7)).\nAnswer: -8*sqrt(7) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -10, -3, -4, -1.\nAnswer: -10, -5, -4, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**3 - 3*q**3 + 2*q**3)*(-2*q + 5*q - 2*q + 5*q - q + q + (-4*q + 7*q - 4*q)*(2 + 0 - 1)).\nAnswer: 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l - 5. Let r = -12 - -7. Let h be k(r). Suppose -5*d - 5*o + 4 + 21 = h, 0 = -d - 3*o + 11. Solve 0*a + 2 = d*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16416 + 6*h - 32776 + 16382.\nAnswer: 6*h + 22","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Is 79601117 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11706935?\nAnswer: 5, 41, 57107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2425.55 - -2360. Is 1\/2 equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -9*b**2. Let j(q) = 131700*q**2 + 2*q - 1. What is j(p(a))?\nAnswer: 10667700*a**4 - 18*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7409 at least as big as -7400?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((-2*sqrt(539) - sqrt(539) - sqrt(539)) + 2 + 4 + sqrt(539) + sqrt(539)*2)*6)**2.\nAnswer: -27216*sqrt(11) + 186300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(8\/11)\/((((u*u\/(u**20*u))\/u)\/u)\/u)*u\/(u**(-22)*u)*u*u**(2\/31) assuming u is positive.\nAnswer: u**(15615\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.3 - 0.3. Let s = 1 + w. Let x be ((-2)\/(-6))\/((-20)\/180). What is the third smallest value in x, 7, s?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5471227 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90660.\nAnswer: 2, 3, 5, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6*i*i*i**(-10)*i**(-3\/5)\/i*i\/i**(-3) assuming i is positive.\nAnswer: i**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 59987017 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -44*((-4)\/(-10))\/(3*5\/(375\/30))\nAnswer: -44\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31\/25 - -26\/25. Which is the closest to 2\/3? (a) 3 (b) 0.82 (c) 5 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12592?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 75385*k*l**3*m - 98*k*l**3 + 30*k*m - k + l**3*m + 2*l**2*m + 14*l - 28*m - 3 wrt l.\nAnswer: 452310*k*m - 588*k + 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 times -265\nAnswer: 18.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**2 - 4*d - 8. Let b = 73 - 79. Does 8 divide k(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10358540?\nAnswer: 2, 5, 517927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -6. Solve -w*g - 10 = -g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(6\/6*-3))\/(39\/18)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.7944458nm?\nAnswer: 0.0007944458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the first derivative of r**3\/3 + r**2\/2 - 6*r - 2. Let s be v(-3). Let i = 333 - 338. Sort s, 22, 1, i.\nAnswer: i, s, 1, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.34223 and 9532.\nAnswer: 9531.65777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -469579 (base 11) to base 3.\nAnswer: -1101211120020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - 4*l**2 + 4*l**2)*((1 + 4 - 4)*(-2 + 4*l + 2) + 5 - 6*l + 0 + 0).\nAnswer: 4*l**4 - 10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*n - 101*n + 8360 = -37*n. Let f(w) = 8*w**3 + w**2 - w. Let l be f(1). What is the greatest common factor of n and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = h - 10, -4*h + 36 = -212*a + 215*a. Find x such that 9\/5*x + 3\/5*x**2 - h = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -34, -82, -160, -274, -430?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -521*b + 522*b + 15 = n, 2*n - 4*b = 20. Let y = 0 + 2. Solve y*z = 6*z - n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i**2 + 6*i**2 + 2932*i**3.\nAnswer: 2932*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -21.4, -6, 3 in increasing order.\nAnswer: -21.4, -6, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -322.59592 - 5498.\nAnswer: -5820.59592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 269 a factor of 33625?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hpppccpphphpch. What is prob of picking 3 h and 1 p?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -1\/6*t**3 + 1\/8*t**4 + 0 + 0*t + 2*t**2 + 1\/60*t**5. Let h be f(-3). Put 6, h, 2 in increasing order.\nAnswer: h, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*-1 + sqrt(91) - sqrt(91))*-5)\/sqrt(7).\nAnswer: 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 39225211 and 305.7.\nAnswer: 39225516.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -481 or -487?\nAnswer: -487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 25, -1\/7, -0.3, 2\/11?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4.8, 32\/2067, -0.1, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 - 0.5. What is the nearest to x in 3, -2\/11, -3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5681 + 5707. Let r = 13 - 8. Let f = 1 - -2. Solve 5*x - f*x + 5*u = -23, x = r*u + o for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -207, -198, -167, -114, -39, 58, 177?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, v: 19}. Give prob of picking 2 v.\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**2 - 35*u + 94. Determine i(10).\nAnswer: 344","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 8 = -3*n - 34, -21 = -3*r - 4*n for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwrwmmw. Give prob of sequence rw.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*h - u = -6382 + 6379, 4*u - 168 = -2*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -257 + 264. Solve -8*a + d = -17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 620442911?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 4*i + 24. What is the units digit of q(12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1536\/(-640))\/(4\/10))\/(12\/68).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11891833 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**(3\/2)*l))\/l*l*(l\/(l**(-14)\/l)*l)\/l*(l**(2\/3)*l)**(-33) assuming l is positive.\nAnswer: l**(-79\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -72*(-2)\/(-4)*-1. Suppose -z - 3*c + 26 + 336 = 0, 5*z - c - 1842 = 0. Suppose 14*y - z = -242. What is the highest common factor of r and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1b + 3a32?\nAnswer: 3a13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -6c97 (base 14) to base 16\nAnswer: -4a05","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l - 7*l = -4*f - 16, -2*l - 4*f = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 186 = 19. Suppose 4*u + 23 + i = 0. Let q be ((-4)\/u)\/(1\/14). Is q less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m + m + 0*m)*(-4*m - 2*m + 5*m)*(-5570*m + 16503*m - 3771*m) to o*m + i*m**3 + j + v*m**2 and give i.\nAnswer: 7162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 - (9\/6)\/((-12)\/16488). What is the highest common divisor of b and 632?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -101.2 - -100.273. Let l = z - -0.127. Suppose n - q + 6*q + 8 = 0, 0 = 5*n - q + 14. Which is the second biggest value? (a) l (b) n (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5570 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that j**5\/2 + 27*j**4\/2 + 88*j**3 + 114*j**2 - 216*j = 0.\nAnswer: -18, -6, -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -l + 9. Suppose -2*a - a + 83 = 2*t, -t = l*a - 79. Suppose -4*u - 15 = -7*u. Calculate the highest common divisor of a and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/(-2))\/(-2 - (-1 - 2)). Let g be (395\/130 + -3)*(-4 + 0). Let q = -2.4 + 7.4. Which is the second smallest value? (a) g (b) s (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 953058843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*m**3 - 31*m**5 - 17*m**3 + 2*m**5 + 2*m**5 - 3*m**5 + m**5 + 0*m**2 + 0*m**2 + (-2*m**2 - 2*m**5 + 2*m**2)*(-2 + 2 - 1).\nAnswer: -27*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*j + 3. Let t(n) = -220*n + 1. Is t(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 46 = -3*o - 21*i, 5*i - 24 = -2*o. Let a = 347 + o. What are the prime factors of a?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001 (base 2) to base 6\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*y - 1785 = -144*y. Suppose -2*j + 408 + y = z, 0 = z + 5*j - 651. Is 68 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b - 1. Let t be m(2). Let y(k) = t*k**2 + 3 + 4*k - 8*k**2 - 2*k + k**3 + 1. Let j(a) = -a**2 + 8*a - 3. Let r be j(7). Determine y(r).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1008)*6 + sqrt(1008) + sqrt(1008) + (-2 + sqrt(1008))*-6 + -2*(sqrt(1008) + sqrt(1008)*-3*3 - sqrt(1008)) + -1)**2*-1.\nAnswer: -4153 - 528*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 + 3*g**2 - 8*g + 5. Let w be h(9). Let l = w - 555. Does 25 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-55)\/22)*5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3 = 2*x + 3*x, -54*c - 294 + 182 = -4*x for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of -3478*j**3 + 7131*j**2\/2 - 2696. Find the second derivative of w(z) wrt z.\nAnswer: -20868","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10815 divided by -3\nAnswer: -3605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 59. What are the prime factors of s*4\/((-12)\/15)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s + 512*s**3 - 509*s**3 + 4*s + 0*s.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(2 - -10))\/((-77)\/235708). Let z = -767 - o. Let q = -0.5 + 0.45. Does q = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + q**2 - 4*q**2 + 2 + 5*q**2 in the form j*q + u*q**2 + i and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 384 - 256. Suppose m - 230 = l, -l + 2*m - 101 - u = 0. Is 1\/3 + (-11)\/(l\/392) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6995 + -6992. Solve -t = 3*v - 19, -m*t = 2*v + t - 26 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -23*o**2 + 23*o**2 - 11 + o**3 + (o**3 - o**3 + 2*o**3)*(-3 + 3 + 2).\nAnswer: 5*o**3 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.2 + -0.017.\nAnswer: -2.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - h + 6)*(24*h + 13 - h - 42*h) to the form v + f*h + d*h**2 and give f.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/27 + (-3 - (-222)\/27). Let b(f) = -f**3 - 6*f**2 + 8*f + 9. Let u be b(-7). Solve -m*j = -8 - u for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1\/(-2))\/((-17)\/17)*-10.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + (-458)\/(-20))\/(-2 - 2 - 2185\/(-532))?\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)*-2*-3)\/(sqrt(125)*2 + sqrt(160)\/sqrt(2)).\nAnswer: 9*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and 39011536.\nAnswer: 39011537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -75 + 95. Suppose -9*h + 104 = -7*h - 4*w, t*h - 5*w - 260 = 0. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 5:50 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 4*k - 15 = 5*m, 0 = 3*k + 5*m - 55. Solve -p = p - k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the third derivative of 4*o**2 + 2\/3*o**4 - 1\/30*o**5 + 0 - 8*o**3 - 5*o. Find the first derivative of x(d) wrt d.\nAnswer: -4*d + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/4)*p*p**(-4\/7)*p assuming p is positive.\nAnswer: p**(47\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*s + 64. Suppose 2*p = 4*p - 16. What is the greatest common factor of s and p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.1, 3, 129, 0, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 + f**2 + 3*f + 2. Calculate o(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 111*d - 111*d - 12*d**2 + (-2*d + 3*d - 3*d + (0*d + 2*d + 0*d)*(3 - 7 - 9))*(-d + 2 - 2).\nAnswer: 16*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -10. Suppose 7*t = 2*t - 145. What is the common denominator of t\/(i\/(-1) + -12) and -97\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 44\/5 of a litre?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 + n**2 - n + 1. Let w(b) = -4*b**3 + b - 1. Give -a(y) - w(y).\nAnswer: 5*y**3 - y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*f**2*l**3*s - 21*f**2*l*s + 2*f*s - 40*l**3*s + 4*l**3 + 156*l*s + s wrt l.\nAnswer: 120*f**2*l*s - 240*l*s + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 2815*h + 218. Let g(p) = -2814*p - 145. What is 6*g(j) + 4*y(j)?\nAnswer: -5624*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 314 = 5*k, 4*q - 1370 + 114 = 3*k. Suppose -5*h + 809 = 2*z, h + h = -4*z + q. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12 - 7. Let p be 225\/3 - (-7 + (6 - 4)). Let y = 241\/3 - p. What is the fourth smallest value in 2\/11, q, 0.4, y?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5106531133 + 0.21.\nAnswer: -5106531132.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of m**7\/4620 - m**6\/495 - m**5\/60 - m**4\/22 + m**3\/3 - m**2 + 118. Let v(c) be the third derivative of l(c). Factor v(w).\nAnswer: 2*(w - 6)*(w + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k*k**(1\/4)*k)*k**(-1\/29)*k**(-3\/16)*k\/(k*k\/k**25) assuming k is positive.\nAnswer: k**(9989\/464)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-20)\/(-24) - ((-153485)\/210 + (-6)\/21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 4*r = 218, -3*m = -3*r - 516 + 174. What is the highest common factor of 17 and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90628.54 millennia in years?\nAnswer: 90628540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/7*(273\/(-12))\/13?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 3 + (-3 + 1 + 0)*(2 - 5 + 4))*(-736 - 229 + 153)*(-3*h + h**2 + 3*h)*(2 - 2 - 2).\nAnswer: -6496*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 172933*k**2 - 163623*k + 1.\nAnswer: 345866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 20*i**2 + 2 - 11*i**2.\nAnswer: -31*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 414026753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 109.85 to 0 dps.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 - (-1 - -19)\/(-2). Suppose f*a - 25 = -0. Let y be a*1 - (-13 + 13). Solve 4*p + 15 = -3*w - 9, 0 = -y*p - 15 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**18*f)\/(f*(f*f**(7\/2))\/f*f)*((f*f**(3\/2)*f)\/f*f)**(-30) assuming f is positive.\nAnswer: f**(-183\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -10*a + 17*a - 17 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6.9 - 1.1. Let f = 8.07 + m. Let i = 1.93 + f. Is 0 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 204.7 + -204. Which is the third smallest value? (a) 2\/7 (b) -6\/11 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -157*n**2. Let j(a) = 5*a**2 - 924*a + 2. Calculate j(w(f)).\nAnswer: 123245*f**4 + 145068*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a kilogram in grams?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**(-1\/7)\/w)*w**2)\/((w**(-2\/3)\/w)\/w*w\/w**(-2\/3)) assuming w is positive.\nAnswer: w**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151.7 - 151.053. What is b rounded to 1 dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7 and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -1\/5, -22\/7, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = 39*u - 117 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/17)*y*y*y*y**(-4))\/((y**(-6)*y*y)\/y**(2\/9)) assuming y is positive.\nAnswer: y**(628\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**5 - 162*l**4 + 844*l**3 - 1368*l**2 + 688*l = 0.\nAnswer: -86, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 3*b. Suppose i - 3*t = 12, b*i - 3*i = -5*t - 32. Let u be (-2)\/18 - (-3)\/i. Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 m, and 1 h when three letters picked without replacement from uxbufhmx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 + 110. Let t = y - 20. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 0.067.\nAnswer: -0.0201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 52 = 2*h, 2*i - 32 = i + h. Suppose t - i - 36 = 0. What is the highest common divisor of t and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1788b93 (base 12) in base 11?\nAnswer: 2853403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126558.94 - 127704. Let a = n - -1156. Round a to 1 decimal place.\nAnswer: 10.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-5)\/(5\/(-1)))\/(-2))\/(1\/92)\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -45*w + 5. Let i be p(4). Let a = -304 - -73. Calculate the common denominator of -2*1 + i\/a and -94\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -384*w + 6663. Does 153 divide y(-46)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + sqrt(9)\/sqrt(3)*6 + sqrt(3) - (sqrt(3) + sqrt(9)\/(1*sqrt(3))) - (sqrt(81)\/sqrt(3) + -5).\nAnswer: 5 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 429.8 - 430. Put -5, n, -11\/4, 0 in descending order.\nAnswer: 0, n, -11\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10940 + 5776391\/528. Find the common denominator of j and 109\/330.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/2250 and 79\/7221750?\nAnswer: 21665250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1579100 and 11650.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -86*a. Let u(j) = -40*j**2. Calculate u(f(n)).\nAnswer: -295840*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13231 + 16269. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 501\/9018 + (0 - 1637\/(-18)). Solve 5 = 16*q - t for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 - 17*j - 16. Let y be b(-16). Suppose y*z = -5*z - 40. Find the common denominator of (-2 - z)*(-209)\/(-176) and -31\/18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2063, 50\/3, 5, -6 in increasing order.\nAnswer: -6, 5, 50\/3, 2063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*c**3 + 9*c**3 + 58*c**3 + 16*c**3.\nAnswer: 115*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -267*y = -149 - 309 - 2212 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -241.8796 - 0.0204. Round d to the nearest ten.\nAnswer: -240","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 5*h = -2*g - 2, -2*h = 4*g - 12. Suppose -g*v = 4*s - 148, -3*s + v + 14 = -107. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97472799 a multiple of 261?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3034 and 148.\nAnswer: 6068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32212301 + 1202233?\nAnswer: 100021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 18 and -184077?\nAnswer: -3313386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 84*y - 753. Let w be j(9). Let c(d) be the first derivative of -2\/3*d**w + 0*d - 1 + 0*d**2. Let f(k) = -7*k. What is c(f(g))?\nAnswer: -98*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 12*i + 11. Let c(q) = -q**3 - 6*q**2 + 2*q - 3. Let v be c(i). Is 19 a factor of 12\/v + (-2684)\/(-55)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9532 - 9603 + 19135 - 5*v**2.\nAnswer: -5*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n**3 - 91*n**2 + 13*n - 40. What is a(10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - g = 0, 2*v + v - 5*g = 0. Suppose v = -2*j + 61 - 21. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 137 and 2.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**2*v*w**3 - 100831*g**2*v + 22*g*v*w**2 + 1030*g*v*w - 2*v*w**3 wrt g.\nAnswer: -2*v*w**3 - 201662*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -21*m**3 - m + 1. What is s(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21765*b - 21986*b + 181 - 181.\nAnswer: -221*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + -1 - 2\/2. Let z(y) = -9*y**3 + y**2. Let t(j) = -5*j**3. Let r(w) = -7*t(w) + 4*z(w). What is the units digit of r(p)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3826 is divided by 707?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 1456068*q**2. Let j(g) = 2*g. Determine j(x(s)).\nAnswer: 2912136*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 1:07 AM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/3 + 71227*n\/3 + 213654 = 0. What is n?\nAnswer: -71218, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3\/(-198))\/(2\/8). Let g = -1\/76402 + 19101\/38201. Which is bigger: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78934 and 122?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (13 - 11)\/((-6)\/(-618))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79989990 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -t - 53, -4*t + 21 - 3 = 3*a. Suppose 5*x + 3*h = 5*h + 167, -5*x + 171 = -h. What is the remainder when x\/2 - (-7)\/14 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4052985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*z**4 - 20675*z**3 + 27515*z**2 + 34435*z - 13770 = 0. What is z?\nAnswer: -1, 1\/3, 2, 1377","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7677667 (base 8) to base 13.\nAnswer: -5737b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-36) + 178\/12. Let h = 16 - u. What is the smallest value in 0.2, h, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7583253082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 17055 and 126207?\nAnswer: 631035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -972563 divided by 4247?\nAnswer: -229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -13761467*i. Let z(n) = -n. Give z(t(w)).\nAnswer: 13761467*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3200 and 50558720?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 10 - 54*q**3 - 87*q**3.\nAnswer: -141*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 276 divided by -83\nAnswer: -276\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 r when three letters picked without replacement from keirrkerkrrkkkek.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*d = 165*d + 78 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -24511 (b) -1\/6 (c) 2\/43 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-24)\/15*(-5)\/2. Let d(f) = 2 + f**2 + 1 - p - 1 - 5*f. Calculate d(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1 + -2 + sqrt(684))**2 + (-1 + (sqrt(684) - sqrt(684)*-2))**2 + 2 + 5*sqrt(684) + -2 + -3.\nAnswer: -18*sqrt(19) + 6835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.135 (b) 61461 (c) -2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8833 is divided by 134.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b**2 + 2*b + 1. Let u be 4\/2 - (3 - 4). Let m = 7 - u. Is x(m) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206927662 by 257.\nAnswer: -805166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415436, 830870, 1246304, 1661738, 2077172, 2492606?\nAnswer: 2908040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p when three letters picked without replacement from {b: 1, t: 1, e: 2, m: 2, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 21781 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.97 + -0.77. Suppose 5*b + 2*c = 15, b + b - 4*c + 18 = 0. What is the closest to b in -0.3, z, -16?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 q when two letters picked without replacement from {q: 5, z: 14}?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of j**6\/24 - j**4\/12 + 2*j**2. What is the second derivative of v(r) wrt r?\nAnswer: 30*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 2*t - 3*g - 98, t - 2*g = 40. Suppose -2*l - l = -f + 7, -4*f + 4*l = -68. Let k = t - f. Calculate the remainder when 41 is divided by k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.8 + -0.2. Let x = 107 + -107.5. Sort b, x, -3.\nAnswer: -3, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-2*sqrt(12))\/(1*sqrt(144)))**2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x. Let o be i(1). Let d be (-2)\/(-3) + (-86)\/o. Let n = -3 - d. Is 10 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2. Let p(o) = -o**2 + 13*o - 6. Let u be p(5). Let d(b) = -u - 5*b + 34. What is d(r(l))?\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10496 is divided by 267.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 AM and 2:44 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5859 or -3529?\nAnswer: -5859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5199 is divided by 40.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -695215 + 190811\nAnswer: -504404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:04 AM and 4:32 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -22198 in ascending order.\nAnswer: -22198, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4913, 0.186, 56?\nAnswer: 0.186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 - -98. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 5, -4.34, 0.7, -13, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 - -46734?\nAnswer: 46730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the third derivative of a**5\/60 - a**4\/8 - a**3\/3 + 8*a**2. Let f be j(4). Suppose 0 = 2*w - 18 - f. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -518253, -1036609, -1554965, -2073321, -2591677?\nAnswer: -3110033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 180.3 and 0.1.\nAnswer: 18.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h - 12*h + 4*h.\nAnswer: -15*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003151 to 4 decimal places.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18*i*r**2*u**2 - 4*i*r**2*u - 2*i*r*u + 2*r**2*u**2 + 179*u**2 wrt r.\nAnswer: 36*i*u**2 - 8*i*u + 4*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 31865429 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 87. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4028*f + 1672*f - 4616*f as l + q*f and give q.\nAnswer: -6972","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 + (-1556)\/(-92) - 0.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 5*g - 20 = 0, -4*m + 2*g = -1062 + 1070 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1069 a factor of 168985728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.29 (b) -0.1 (c) 1\/5 (d) -0.255 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = t - 6*t + 575, z + 3*t = 288. Suppose f - 4*f - z = -5*b, 5*b + 4*f - 285 = 0. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of -z**8\/20160 - z**7\/840 - z**6\/80 + z**5\/20 + z**4\/12 - 67*z**2. Let v(f) be the third derivative of a(f). Factor v(w).\nAnswer: -(w + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 178368159?\nAnswer: 3, 97, 131, 4679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3c (base 14) in base 10?\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 349*d**4 - 28*d**3 - 54626 wrt d.\nAnswer: 1396*d**3 - 84*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, r: 3}. Give prob of sequence rrr.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 2134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(132)\/(sqrt(1452)*-2 + sqrt(12)).\nAnswer: -sqrt(11)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-18) + ((-230)\/(-225) - 0). Put 2, w, -1\/6, -3\/4 in ascending order.\nAnswer: -3\/4, -1\/6, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 37.913 and -0.15.\nAnswer: 37.763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 53387970 to the power of 1\/2, to the nearest integer?\nAnswer: 7307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/7, -448, 23 in increasing order.\nAnswer: -448, 4\/7, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 53 - ((-13 - -6) + 20 + 5 + -26).\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 9976 divide 45869648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*x - 2*x + 24 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 922500\/24*1184*4\/(-12). What is b rounded to the nearest 100000?\nAnswer: -15200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 338790373.\nAnswer: 607, 558139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 3:25 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -14 (base 5) to base 7\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -496968, -993938, -1490908?\n\"Answer: -496970*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f + 6. Let z be q(3). Solve z*k = 5*k + 20 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + 34 - 42. Find the second derivative of 59*j + 60*j + 147*j**v + 21*j wrt j.\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61251 + 1429493. Suppose -g = -c - t + 428239, -g = -5*c - 940015. What is g rounded to the nearest 100000?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -554520 - -554522. Let -9\/2*m + 0 - 1\/2*m**c = 0. Calculate m.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 626 - 275?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**3 + 4*i**2 - 4*i - 3. Let y be c(-6). Let r = 114 + y. Suppose 0*p + 3*p - r = -3*f, 5*f + 4*p - 102 = 0. Does 8 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-20)*((-30)\/(-9))\/5. Let k = -0.3 + 1.3. Let s = k - 0. Put -4, s, n in increasing order.\nAnswer: -4, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - 1122120?\nAnswer: -1122123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(170)*-1)\/sqrt(10) - (sqrt(17) - 1*sqrt(272)) - ((3 + 1 + sqrt(612))**2 + 3))*-2.\nAnswer: 92*sqrt(17) + 1262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2552 + -2633 + 99 + 0.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-6 - 0) - (-56 - -49)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0036182 rounded to five dps?\nAnswer: -0.00362","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-3*(sqrt(5)*1 + 2 - (sqrt(5) + (sqrt(500)*-2 - sqrt(5) - sqrt(5))) - -4*(sqrt(720)*3 + sqrt(5))))**2 + 0.\nAnswer: 6120*sqrt(5) + 1300534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319401 is divided by 188.\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -123*d. Let a be j(-1). Let h = a + 24. List the prime factors of h.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 1. Let v = t - 2. Let g be ((-3)\/(-12))\/(3\/24). Which is the closest to g? (a) 0.3 (b) v (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 14. Let d be 4 + (13\/l - 1). Calculate the greatest common divisor of d and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c - 9. Let q be p(11). Suppose -6 = -5*j + q*j. What is the third derivative of -7*h**3 - 3*h**2 + h**2 + 6*h**j wrt h?\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 787307 * 26.\nAnswer: 20469982","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13642286?\nAnswer: 2, 7, 107, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*p + 2*p - 9*p)*(2*p**2 + 0*p**2 + p**2) - 4*p**3 + 2*p**3 + 7*p**3.\nAnswer: -34*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2))**(-27)*r**(-3)*r*r**(-1\/3)*((r\/r**(-1\/6))\/(r*r**(-3\/7)))\/(((r**(-4\/9)\/r)\/r)\/(r**(-4)\/r)) assuming r is positive.\nAnswer: r**(580\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -191 + 1721\/9. Let o = -3.8 + 4. Let u = 0.8 + o. Put y, 0, u in descending order.\nAnswer: u, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 take away -7200.71615?\nAnswer: 7206.71615","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61633687*t**3 + 7621*t**2 - 1860 wrt t.\nAnswer: -369802122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*k = -27*k + 98736. Calculate the highest common factor of k and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - -1 - (2 + 3) - (-18 - 40 - -24)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -131*o - 17. Let f be u(-19). Let l be (f\/9 + -8)\/((-2)\/17700). What is l rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 32*l - 15. Let u be b(20). What are the prime factors of (u\/34)\/((-1)\/36)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320123469450 - 8?\nAnswer: -1320123469458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1101*r - 3*u = 1105*r - 162, -266 = -6*r - 16*u for r.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1150 and 575.\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(272)*-1 - (5*-1*sqrt(272) + sqrt(272)) - (-1 + (sqrt(272) + -1)**2 + -4 + sqrt(272)).\nAnswer: -272 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -6. Solve 3*a + 3*y + y = -27, -o*y - 32 = 4*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3629304 and 49020?\nAnswer: 780300360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o*(o\/o**(-2\/37)*o)\/o)\/o*o)\/(o\/(o*o*o**(1\/2)\/o*o)))**(-5\/8) assuming o is positive.\nAnswer: o**(-1685\/592)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1308\/(-48) + 32 - (4 + 34\/(-8)). Factor -8\/3*d**3 - 4\/3*d**2 + 4\/3 + 0*d**4 + 2\/3*d**m + 2*d.\nAnswer: 2*(d - 2)*(d - 1)*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -59221, -59209, -59197, -59185, -59173, -59161?\n\"Answer: 12*h - 59233","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**4 + 55*n**3 + 2681*n**2 + 29805*n + 80100 = 0. Calculate n.\nAnswer: -15, -4, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**20*n*(n**(-6\/5)*n)\/n assuming n is positive.\nAnswer: n**(99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -24588.061 to the nearest one hundred.\nAnswer: -24600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9246976 - 9246976 + 9*d.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*y + 101078 = 104180. Is -7 at least as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -149902*p**4 + 33*p + 2738 wrt p.\nAnswer: -1798824*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7242798179 to the nearest integer?\nAnswer: 85105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 3*u = -30, -2*w + 5*w + 2*u + 27 = 0 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*v - 9*v + 18 - 12*v - 7*v - 8*v.\nAnswer: -v + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 27, -2, 138, 0 in ascending order.\nAnswer: -2, 0, 27, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 277982 to the power of 1\/3, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3696\/67 or 54?\nAnswer: 3696\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3441)\/528 + -2 + 1. Let z = 27\/11 + u. Find the common denominator of 107\/12 and z.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhjhtatttahtahh. Give prob of picking 1 a, 2 t, and 1 j.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 90012416 and 8772.\nAnswer: 2924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 + (-2219)\/(-168))\/((-2)\/(-8)).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ed when two letters picked without replacement from sejjdyesddsesdysjy.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2845669 and -0.4.\nAnswer: 1138267.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 9 = -1. Let l = -1419 + 1418. Sort d, l, 8, -4 in increasing order.\nAnswer: -4, d, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f56 + -23?\nAnswer: -f79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 99121 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/64 and 47\/93348312.\nAnswer: 746786496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -7*t**2 - 3*t + 4. Let a be n(-3). Let v = -27 - a. Let x = v + -1. What are the prime factors of x?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-1032)\/(-18))\/(2\/3). Let x be 8\/36 - o\/(-18). Suppose -4*m = -8, 3*d + 0*m - m = 133. Calculate the highest common factor of d and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 172450 to the power of 1\/2, to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**4\/5 - 764*l**3\/5 - 12374*l**2\/5 + 2628*l = 0.\nAnswer: -365, -18, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 + 5548?\nAnswer: 5558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1275737*s**3 + 1311781*s**2 wrt s.\nAnswer: 7654422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by 1?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9769 is divided by 17?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 732*l - 134244 = -54*l - 362*l - 208*l for l.\nAnswer: 99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 410826*p**2. Let m(x) = -11*x**2. Determine l(m(a)).\nAnswer: 49709946*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(2880) + sqrt(2880) + (sqrt(2880) - sqrt(2880)*2 - sqrt(2880)))*-6 + sqrt(2880))*-5)\/(sqrt(225)*-1 - -3*(sqrt(441) + sqrt(9))).\nAnswer: -40*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3085249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 11248, 11452, 11656, 11860?\n\"Answer: 204*z + 11044","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a + 769 - 1063 = 1260 for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 559 + -235. What is the hundreds digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a**4 + 2*a**3 - 20333*a**2 + 91943*a.\nAnswer: 12*a**2 + 12*a - 40666","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-504))\/(1*(-3)\/18)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2723338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v - 11414 = -687116. What are the prime factors of v?\nAnswer: 2, 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9747*z**4 - 8*z**3 - 470104*z**2.\nAnswer: -233928*z - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -58*((-2)\/8)\/((-1233)\/1096 - 10\/(-16)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - -5. Suppose -2*l + a = -l. Suppose -l = -2*g + g. List the prime factors of g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (146 - 87 - 91) + 73\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 54187, 108369, 162551, 216733, 270915?\nAnswer: 325097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 51040*q**2 - 130203025*q - 260610250.\nAnswer: -5*(q - 5105)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -700\/9 + 78. Let k = 18.5 - 18.2. Which is the smallest value? (a) n (b) k (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 481*n + 486*n = 60225, 0 = -5*n - 20. List the prime factors of m.\nAnswer: 12049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**5\/110 - n**4\/22 + 10*n - 7. Let r(v) be the first derivative of q(v). Find y such that r(y) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9353669, -18707335, -28060987, -37414619, -46768225?\n\"Answer: w**3 + w**2 - 9353676*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**5\/40 - f**4\/16 - f**3\/2 + f**2 - 232*f. Solve w(h) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20745359\/7856 - 1036\/491. Let z = l + 2642. Find the common denominator of 21\/10 and z.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 774 + -776. Let m be (u\/(-6))\/(17\/(-51)). Let s = -61\/4 + 14. Which is bigger: m or s?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1751482?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.25 and 1.006?\nAnswer: 0.2515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11333 - -10?\nAnswer: 12003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 9*r - 17. Let s be y(-6). Let t(n) be the third derivative of -n**4\/12 + n**3\/2 + 16*n**2. What is the units digit of t(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*i + 48 + 7 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -512*j = -200*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 142.9 + 585.1. Let n = 689 - w. Which is bigger: n or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/36*3)\/(-2). Let i(r) be the second derivative of 0 + 2*r - 1\/6*r**4 - 1\/40*r**5 + 0*r**2 - d*r**3. Let i(k) = 0. What is k?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u - 1. Let j(g) = -g**2 + 48*g. What is j(z(l))?\nAnswer: -l**2 - 50*l - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -362620 (base 14) in base 13?\nAnswer: -4ca486","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/60 and 47\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1102210020200 + 2?\nAnswer: -1102210020121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.545716 and -0.3.\nAnswer: 0.245716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -22793\/4 smaller than -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -168854897*m*n**3*p - 547*n**3*p - n**3 - 2*n**2*p + 8*n**2 - 3*n*p - 4*p wrt m?\nAnswer: -168854897*n**3*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/4, 5, -1\/4, -2, 63?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x + 8 + 1. Let j = x - -3. Suppose -5*t + 11400 = -j*t. Round t to the nearest 100.\nAnswer: 2300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 19. Does 4 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -204, -1511, -5302, -12897, -25616, -44779, -71706, -107717?\n\"Answer: -220*k**3 + 78*k**2 - k - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-56)\/18)\/4*278. Let l = g - -216. Which is the second smallest value? (a) l (b) -2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -73*d**2 - 2*d + 3. Let f be m(1). Let b = f + 76. Solve 0 = -b*k - 0*k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 - 4 + 22 + 10*d - 42.\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 758 and 194427?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zyoohztttzze. Give prob of picking 1 h, 1 e, and 2 t.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 5*y - 3. Is v(6) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/6420 and 29\/3690.\nAnswer: 789660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/4*-1*6\/5. Suppose 12 = 6*a - w*a. Suppose -2*y - 40 = -a*y. What is the remainder when 55 is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4*g - 2 = 3*l, 0 = -2*l - 2*g + 6. Suppose -5*h - 3*u - 287 = -2133, l*h - 5*u = 726. Let n = h - 211. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 588 and 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 24\/8819825 and 123\/18345236.\nAnswer: 458630900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (6*(sqrt(228) - (sqrt(228) - (sqrt(228) + (sqrt(228)*-1 - sqrt(228)) - sqrt(228)))))\/(-4*(sqrt(12) - -2*sqrt(12)) + sqrt(12)))**2.\nAnswer: -48*sqrt(19)\/11 + 3220\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849633 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 4*g - 52, -49 + 14 = -3*n + 5*g. Let x = n - -1. Does 16 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 77*z - 422. Calculate f(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(7 + -2 + -7). Suppose u + 20 = 5*v, 3 = -u + 2*v - a. Solve -4*f + f - 2*x = u, x = -f - 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5723 is divided by 1375.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*h + 4*h**3 - 258*h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + w**2 + 4. Let d be l(0). Suppose 3*i = r + 5, 7 = -i + 4*i + r. What is the third derivative of -h**4 + h**4 + h**d - i*h**2 wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2 - 1. Let x(a) = 7*a**2 - 5*a + 6. Let s(d) = 6*r(d) + x(d). Let q be s(6). Suppose 14*k = q*k - 96. Put 2, -5, k, 5 in ascending order.\nAnswer: k, -5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**41\/w)**(3\/20)*w\/(w*w\/w**(-44))*w\/((w**9\/w)\/w)*w assuming w is positive.\nAnswer: w**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 1\/8 (c) -1\/6 (d) 0.221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 10:16 PM?\nAnswer: 2:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 2 + 0)*(-y - 1 + 1) + 9*y - 6*y + 4*y)*(2 - 2 + y**2).\nAnswer: 6*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.16, 1, -2\/13, 20?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (75\/105)\/((-360525)\/(-6118))\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-30) + (-1066)\/1495?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1880 to the nearest ten.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 56 + -40. Suppose 4*t + 0 = z. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 - -88. Suppose -4*l + 1944 = a*l. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -1750?\nAnswer: -1750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2342*y**2 - 14*y + 14. Let q(j) = -1168656*j**2 + 6984*j - 6984. What is 7*q(l) + 3492*u(l)?\nAnswer: -2328*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 0*f + 1728. Let b = f + 118. Let q = 940 + b. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -409, -395, -381, -367?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a**2. Let c(y) = -161*y + 325. Let i be c(2). Let m(r) be the second derivative of 0*r**2 - r - 1\/6*r**i + 0. Give m(x(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1.39 times 56\nAnswer: 77.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5788 + 5975. Let g(d) = -d**3 + 7*d**2 + 3*d - 10. Let u be g(7). What is the highest common factor of b and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 5*g**4 - 41375*g**3 + 248130*g**2 - 496180*g + 330760 = 0?\nAnswer: 2, 8269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 1 g when three letters picked without replacement from grrr?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 11) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 48\/(-2)*((-15)\/24)\/(44385\/538)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1014327, 1014226, 1014125, 1014024, 1013923?\nAnswer: 1013822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 15*s**2 + 262*s + 429. What is i(-25)?\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1513*h**3*v**2 - 2*h**2 - h + 570613*v**2 wrt h.\nAnswer: -4539*h**2*v**2 - 4*h - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*c - 192, 5*d = -5*c + 503 + 357. Let j = d + -173. Solve 3*i = i + w - 5, 0 = j*i + 5*w - 12 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 112092304 - 160592304. Round y to the nearest one million.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -14. Is ((-138)\/n + -1)*-2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169985 - 13 - (-20 - -5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 71 * -272.9.\nAnswer: -19375.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 24*d - 199. Is 19 a factor of z(55)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -188\/5*j**2 + 0 - 2\/5*j**3 + 384\/5*j.\nAnswer: -2*j*(j - 2)*(j + 96)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uxxc when four letters picked without replacement from kkoccxnoxouo.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k**2 - 55*k + 55*k)*(-3 + 6 - 1).\nAnswer: -6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - 47255546?\nAnswer: -47255541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -1.1. Let r = -364\/3 + 123. What is the nearest to d in -1, 1, r?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18 - -266\/15. Let k = -0.21 - 0.29. Let q = 1.5 + k. What is the nearest to q in -0.1, s, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 1:17 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**6\/r)\/r*r**4*r)\/(r**2)**(45\/2) assuming r is positive.\nAnswer: r**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -7, 2, 41716.\nAnswer: -7, 2, 3, 41716","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 101198 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1, -0.2, 2\/7, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2968 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1604151 divided by 534717.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 8. Suppose u - v*u = -504. What is the greatest common factor of u and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 12\/(-48) - 48002\/(-8). What is l rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**2 - 21*o - 8. Let x be i(-17). Suppose -h + 10 = -x. Does 5 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 o when three letters picked without replacement from {o: 4, h: 1, q: 1, k: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -80070 (base 9) in base 12?\nAnswer: -264b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-3 - 0) + -1 + 3 + -13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-0.23288\nAnswer: 0.023288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1. Let m(y) = -y**2 + 5*y - 4. Suppose -14*l - 1962 + 1990 = 0. What is l*r(c) + m(c)?\nAnswer: -c**2 + 5*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.1082 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -1973*z - 3990. Calculate l(-2).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 75691.8um?\nAnswer: 0.0756918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 4:58 AM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of k**3\/3 + k**2\/2 - 6*k + 7. Let r = 5 + -14. Let u be -2 + 5 + r\/3. Determine v(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6321 - 4982. Is f a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -78\/23199619?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2136.322607 to zero dps.\nAnswer: -2136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 5*t**2 - 6*t - 5. Let k be c(-4). Let m be -6*((-6)\/4)\/3. Let a = k - m. Is a bigger than 3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4 - 394*k**3 + 17728*k**2 - 156296*k + 244800 = 0. What is k?\nAnswer: 2, 9, 50, 136","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4\/9, -43\/2, 1\/12, -219?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - 2*j + 1. Let g = -1 + -1. Let y(q) = 1 + 59*q**2 - 2*q + 68*q**2 - 39*q**2 - 87*q**2. Determine g*y(v) + 3*t(v).\nAnswer: v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.084 - 3.3. Round i to 2 dps.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 3039.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 459 and 3841660?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378 and 108?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 to the power of 1\/2, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.072354 + -0.04.\nAnswer: 1.032354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1380*t**3 + 584 wrt t.\nAnswer: 4140*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 15*u + 12. Let o be j(-13). Let z = o + 16. Solve z*i = -0*i - 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13.4 + -44.7. Let j = 31 + z. Let v = j + 0.3. What is the fourth biggest value in 4, 0.1, v, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.18968 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 7575*q + 7093*q - 13797*q as p*q + a and give p.\nAnswer: 871","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, z: 2, x: 1, p: 1, j: 2}. Give prob of sequence zp.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714 + 1211 = 214*o - 429 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3*q - q = 32, -26 = 5*n + 2*q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 282412?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/3, 31, -4, -28, -154, 2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 32, -2, 50, 0 in ascending order.\nAnswer: -2, 0, 32, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 3*k + 57 = 0, 2*p + 9 = 3*k - 14. Let l = p + 15. Let v be (l - -2)\/((-2)\/(-6)) + 3. Let g(s) = s - 4. Determine g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t**2 + 15897*t + 31798.\nAnswer: -(t - 15899)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - -5. Let t(z) be the first derivative of -z**6\/360 + z**5\/30 + 7*z**4\/24 + 2*z**3\/3 + 3. Let m(i) be the third derivative of t(i). Determine m(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0.13, -119, 1, 4, -0.2862 in descending order.\nAnswer: 4, 1, 0.13, -0.2862, -2, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 1220*h. Let s(d) = -3*d. Determine u(s(o)).\nAnswer: -3660*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -52096, -52098, -52100, -52102, -52104?\nAnswer: -52106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006085081 rounded to 5 decimal places?\nAnswer: -0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 j when two letters picked without replacement from {j: 13, l: 6}.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2345596867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082245 to the power of 1\/2, to the nearest integer?\nAnswer: 1040","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = 23 + 588. Let l = -46 - m. Solve -b + 2*d = l, 0*d = -3*b + 2*d - 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -646010 + 8627\nAnswer: -637383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 45? (a) -28 (b) 1.09 (c) 28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973324882.\nAnswer: 2, 311, 1564831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5002 - 2532. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -6. Find the first derivative of -y*b**2 - 4*b - 5 + 4*b + 5*b**2 wrt b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/10 and 17\/8458.\nAnswer: 42290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47.1 - -49. Let q = 3.1 + w. Let m be (-1)\/7 - (-39)\/(-273). Sort -1\/3, m, q, 0 in decreasing order.\nAnswer: q, 0, m, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 != -94?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42556 by -10639.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by 54.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*m = -18*m + 25, 5*m = -5*h - 50 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 31 = 5*t, -2*t + 3*h - 4*h = 7 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1\/2, 745\/6, -5 in decreasing order.\nAnswer: 745\/6, -1\/2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**5 + h**4 - h**4)*(621 - 1502 + 668)*(1 - 3 + 5)*(-4 + 3 - 1).\nAnswer: 2556*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -51*u**3 - 29*u**2 + 30*u + 29. Let k be i(-1). Let a be (-1 + (-22)\/(-10))*5. Solve j - k = -a*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**3\/7 + 19156*g**2\/7 - 1270830*g\/7 + 21004632\/7.\nAnswer: 2*(g - 33)**2*(g + 9644)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xc when two letters picked without replacement from cxcccxxxxnh?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/4 (b) -0.04 (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/277, -0.4, -9\/74?\nAnswer: -9\/74","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the second derivative of 0 + 0*b**5 + 7\/30*b**6 - 11\/2*b**3 - 7*b + 0*b**4 + 0*b**2. What is the second derivative of p(z) wrt z?\nAnswer: 84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v + 2 + 8*v - v**4 - v**3 - 9*v to the form w*v + x*v**4 + i*v**2 + s + o*v**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 106 and 2173?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**4\/9 + 1024*c**3\/9 - 1021*c**2\/9 + 85*c\/3.\nAnswer: -c*(c - 255)*(2*c - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7f + 64?\nAnswer: e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -17*d**3 - 13. Let c = -138 - -96. Let m = 29 + c. Let w(f) = 8*f**3 + 6. Determine m*w(i) - 6*l(i).\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xzxnxxxxxxzaxxxnnxx. Give prob of sequence axn.\nAnswer: 13\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -14*h - 3. Let q be t(-2). Let c = -25 + q. Solve -2*y + 3 - 11 = 4*g, c = -3*y - 3*g for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 72 + -84. Let x be -1 - 1 - 4\/w*6. Which is the third smallest value? (a) -2 (b) -1\/11 (c) 3\/4 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -818 - 68*k**3 + 818 + k**2.\nAnswer: -68*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23\/45 + 1333\/495. Let i = f + -26\/11. Are i and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of 0*w**5 + 0 + 0*w**6 - 1\/14*w**7 + 0*w**2 - 1\/6*w**4 - 7*w + 0*w**3. What is the third derivative of y(g) wrt g?\nAnswer: -180*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 17 + 22 + 209*h.\nAnswer: 209*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4 + -4 + sqrt(121)\/(sqrt(396)*3).\nAnswer: -7 + sqrt(11)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -80, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1)\/q*q*q*q**(3\/2))\/(((q*q**(3\/10))\/q)\/((q\/(((q*q*q**(-1\/4)\/q)\/q)\/q))\/q*q))*((q\/(q**(-2\/7)\/q))**(-5))**(-17) assuming q is positive.\nAnswer: q**(27683\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 166*g + 1435*g - 243*g - 135*g + 632*g.\nAnswer: 1855*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-6*(-4 + sqrt(1125) + 1))**2 + (sqrt(135) + (sqrt(135) - (sqrt(135)*-2 - sqrt(135))*-4))\/(sqrt(192)*-1).\nAnswer: -12945*sqrt(5)\/4 + 40823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h. Let q(a) = -10*a - 1. Let v(b) = 21*b + 3. Let f(x) = -5*q(x) - 2*v(x). What is -f(c) - 6*i(c)?\nAnswer: -2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-27) - 356\/18. Suppose -3*n - 8 = 64. What is the common denominator of n and ((-49)\/84)\/((-2)\/j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the second derivative of -p**4\/42 + 820*p**3\/21 - 168100*p**2\/7 - 8*p - 60. Let u(g) = 0. Calculate g.\nAnswer: 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35800541 to the nearest integer?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Are -40612 and -690383\/17 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6\/2827?\nAnswer: -6\/2827","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4524 - 27?\nAnswer: 4475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 AM and 4:41 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 9 = -3*d. Suppose d*q - 4*q + 2 = 0. Is (-138)\/(-3) + q\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270 and 8.\nAnswer: 1080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 194966198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (5 + 3 + -4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*d - 183, 71 + 42 = -3*q + 5*d. List the prime factors of 1626\/(-8)*(-4 - q\/27).\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8229 is divided by 1795?\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**3 - 1188*x**2 = 0 for x.\nAnswer: 0, 396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3830*q - 658760. Give b(172).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -19. Let r be (-1)\/((-78)\/(-27) - j). Find the third derivative of -12*p**3 - 4*p**2 + 12*p**2 + 20*p**3 - r*p**3 wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3126341 is divided by 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -7. Let f = -2 + d. Suppose -4*z = -f*z - 5*h - 24, -18 = z + 5*h. Solve k = n + z*n - 8, 0 = k + 5*n - 24 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1571 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: Is 3115909 a multiple of 233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*i**5 - 9856115*i**4 + 1619051690795*i**3 - 539610523585*i**2 - 11873100489470*i + 12952387244280 = 0. What is i?\nAnswer: -3, 4\/3, 2, 328537","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8797606 to the power of 1\/2, to the nearest integer?\nAnswer: 2966","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cugg. What is prob of sequence gcgu?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -360 + 239. Let i = v - -208. Suppose x - i = -2*x. Calculate the remainder when x is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (48\/(-9156))\/(6\/(-21))\nAnswer: 2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -26*b**2 - 478*b - 736. Calculate j(-17).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (816*f - 1613*f + 752*f - 30)*(-1 + 2*f**2 + 1).\nAnswer: -90*f**3 - 60*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 23 = -53. Sort -0.1, -2\/3, 25, k in descending order.\nAnswer: 25, k, -0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.91 + -8. Let s = 0.1 + i. Let w = 0.0124 - s. What is w rounded to 4 dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25.41 + 25.4. Sort j, -0.1, -1.1 in descending order.\nAnswer: j, -0.1, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((42 - 13) + -32)*3\/(-51)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*x - 470 = 250 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -293 = 7*q - 1392. Let l be 4\/(-2) + (-3 - -10 - q). Let g = 515 + l. Calculate the greatest common divisor of 33 and g.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/8328 and -19\/15615.\nAnswer: 124920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94245958?\nAnswer: 2, 47122979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (40 + -20 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1))**(-23)\/(y*y**(-7)*y**4))**(4\/3) assuming y is positive.\nAnswer: y**(100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 678*y*z - 61*y + 20266*z - 228454 wrt z.\nAnswer: 678*y + 20266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/(-174) + (56 - (-1895)\/(-145))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 182*b**5\/5 - 557*b**2 + 2*b - 71. Find the first derivative of f(i) wrt i.\nAnswer: 2184*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/8 of a micrometer in nanometers?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaatkatgmlt. Give prob of picking 1 m and 1 a.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/3 - 12*f**2 - 214*f\/3 - 140.\nAnswer: -2*(f + 5)*(f + 6)*(f + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -425 take away -0.3?\nAnswer: -424.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/j**(-20)*j**2*(j**8)**(2\/105) assuming j is positive.\nAnswer: j**(2536\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + 0.15. What is the nearest to 0 in 0, h, -1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 3*w + 6. Solve 3*z - 18 = 2*t, 2*t - w = -2*z - 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from htsthtstssststxtss. Give prob of picking 2 s and 1 x.\nAnswer: 7\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.6 + -12.2. Suppose 2*c + 75 = 3*c. Let m be (1 - -2) + c\/(-27). Sort 0, m, q in descending order.\nAnswer: q, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30.9 - 31. Let v = 4.97 - -0.03. Which is the third smallest value? (a) s (b) 4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 5, r: 3, s: 5, y: 1}. What is prob of sequence xs?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12599 - -36290. List the prime factors of l.\nAnswer: 3, 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(3 + sqrt(95)\/(sqrt(320)*6)).\nAnswer: -3 - sqrt(19)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4*t. Let j(g) = 20*g**2 + 3*g + 3. Let w(h) = -22*h**2 - 2*h - 2. Let k(b) = 2*j(b) + 3*w(b). Calculate l(k(o)).\nAnswer: 104*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - q = 16, s = -q - 1 + 3. Let v(i) = i**2 + i + 14. Let d be v(0). Suppose -13*m + 14*m = d. Solve -a - m = 4*z, -8 = 3*z - a + s*a for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 6*p**2 - 8*p - 1. Let j be z(4). Let l be 687\/(-3) - -1 - (0 + 0). Let n be 28\/(-98) + l\/(-945). Is n less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -4*o**2 - o**3 + o**3 + 0*o**3 - 2*o**3 - 2*o. Let b = -8 - -11. Let f(l) = l**3 + 0*l**b + 0*l**2 + l + 3*l**2. What is 4*f(h) + 3*n(h)?\nAnswer: -2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7894760144?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 143377*x**3 + 0 + 71681*x**3 + 71685*x**3.\nAnswer: -11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 - 10*a - 2. Suppose 0*u = 4*u, 0 = -4*x + 5*u - 28. Let r be f(x). What is the greatest common factor of r and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/2 in 2, 3, 3\/25, -2066?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 + 537\nAnswer: 537.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678888058?\nAnswer: 2, 339444029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/9, 1\/8, 2\/5 in increasing order.\nAnswer: 1\/8, 2\/5, 5\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 AM and 5:41 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/9 (b) -30 (c) 275.4 (d) -5\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -512 by 918691.\nAnswer: -512\/918691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(720) + -2)*6)**2 - sqrt(720) - sqrt(720)) + 3 + ((sqrt(720) + 4 + sqrt(720))*5 - (sqrt(720) - 6*(sqrt(720) + -2))**2).\nAnswer: -148441 + 10320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, r: 1, p: 3, y: 1, j: 3, k: 5}. What is prob of picking 2 k, 1 u, and 1 p?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -11, 0 in ascending order.\nAnswer: -11, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -52, -96, -128, -142, -132, -92, -16?\n\"Answer: d**3 - 51*d - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64 + -3. Suppose b*z = 55*z. Is -3\/188 less than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1132747.\nAnswer: 7, 11, 47, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 7. Suppose n = 3*f - 46, -s*f = 5*n - 33 - 41. Calculate the remainder when 3\/(-6)*31*-2 is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206*q**2 + 6*q**3 - 210*q**2 + 619*q**2 - 217*q**2 - 5*q to the form y*q + m*q**3 + s + k*q**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*l**2*w**4 + 15*l**2 - 14 wrt w?\nAnswer: 28*l**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 6) in base 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5745606179?\nAnswer: 29, 1483, 133597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -60.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 66*b**3 - 3*b**2 - b - 3. Let l be j(3). Suppose -3*y = -2*y + l. Is 4\/(-14) - y\/21 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*x = 100*x + 10. Solve -2*l + 23 = x*h, 4*h - 23 - 5 = -4*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 115*k - 576. Let a be u(5). Does 1\/33 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5\/2 + 4887*k**4\/2 - 68973*k**3\/2 + 54297*k**2\/2 + 64077*k = 0.\nAnswer: -1643, -1, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 11755*s. Let i(a) = 2*a + 46. Give i(w(n)).\nAnswer: 23510*n + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/(h*h*h\/((h\/(h**(-2\/21)*h))\/h)))\/(h*h*(h**(2\/21)\/h)\/h) assuming h is positive.\nAnswer: h**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 603 - -9.2\nAnswer: 612.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p + 4*y + 13, 6*y - 10*y + 22 = -6*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yrryyyrryr. What is prob of sequence rrrr?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 119221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 0*r**4 - 4\/3*r**3 + 0*r**2 + 0*r**5 + 11\/6*r**6 + 0*r - 9. Find the third derivative of y(s) wrt s.\nAnswer: 660*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(-105)*64855\/(-148240)\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -26696 (base 10) to base 2\nAnswer: -110100001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ga when two letters picked without replacement from {g: 2, m: 1, a: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1404 + 2?\nAnswer: -1402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(6*sqrt(143)*-2 - ((sqrt(143) + sqrt(143)*-2)*5 + sqrt(143))))\/(-3*sqrt(33)\/sqrt(3) + sqrt(11) + (sqrt(99)*3 - sqrt(99)) + sqrt(99)))**2.\nAnswer: 20800\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 0.33921?\nAnswer: -1.01763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 3 - 3)*(-5*a - 2*a + 0*a) - 3*a + 3*a + a)*(-3 + 5 + 0)*(1 - 5 + 3)*(-3 + 0 - 2).\nAnswer: -60*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17377344*i**4 - 2*i**3 + 7924416*i wrt i.\nAnswer: 208528128*i**2 - 12*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 7 from 6.2914097.\nAnswer: -0.7085903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 8*d + 4. Let z be -1*(-7 - -5)*(-7)\/2. Calculate g(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 303 = -5*t + 3*r - 4*r, 0 = -5*t + 4*r - 288. Let b be 10\/4*(-1344)\/t. Suppose -b = -8*z - 6*z. Solve 0*h + 12 = -z*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -10 - (47 + -39) - 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 4*z**2 - 2*z - 5*z**2 - 2 + 3*z. Let l(h) = 2*h**2 - 2*h + 3. Let t be (-2)\/(-4) - (-18)\/12. Suppose t*b + 0*b - 14 = 0. Give b*w(g) + 4*l(g).\nAnswer: g**2 - g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -108315359?\nAnswer: -3\/108315359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4ccb9 - -3?\nAnswer: -4ccb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 4. Let f be n(0). Let p = 6 + f. Is 0 + 0 + (213 - p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-6)\/4)\/((-24)\/112) is divided by (-8)\/(-40) - 133\/(-35).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 3. Let m(a) be the third derivative of 1\/120*a**6 + 1\/12*a**5 + 0 + 1\/8*a**4 - 33*a**2 + 0*a - 2\/3*a**3. Give m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5837*0.0273.\nAnswer: 159.3501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-157 - -169) + -19 + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 506 + 294. What is the common denominator of 54\/5 and m\/675 - 6\/(-45)?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -s - 20 - 29 + 2*s**3 + 78 - 27 - 14*s**2 as q + l*s**2 + h*s**3 + o*s and give l.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -4*s**2 - 10 + 7 - s**3 + 1 - 4*s. Let u be h(-2). Let x be (6\/u + 2)\/1 - -2. Which is the third smallest value? (a) x (b) -4 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 257\/3, -5, -0.5.\nAnswer: -5, -0.5, 257\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 162 - 5\/(-5) - 7. List the prime factors of ((-411)\/(-2)*-3)\/((-117)\/v).\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 7*c**3 - 4*c**2 - 48*c + 161. Is f(12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-6)*45\/(-2). Suppose -n*r + 10*r + 30 = 0. Suppose -4*y - b = -36 + r, 3*y = 2*b + 28. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + -8. Let x(o) = o**2 + 5*o. Let n be x(k). Suppose 0*w = -2*w + n. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*j**2*u*v**3 - j**2*u*v**2 - 57*j**2*u*v - 237*j*v**2 - 27479*u*v**3 wrt v.\nAnswer: -12*j**2*u - 164874*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10561939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**2 + 22*v + 28. Let p be 2 + (-42)\/(-5) - 8\/20. Suppose 6*s - 8*s + 16 = 0. What is the lowest common multiple of x(p) and s?\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9515701\/36899520 + -385\/18496. Let r = h - 2\/285. Let a = -91\/45 + 20\/9. Sort 3\/2, a, r.\nAnswer: r, a, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*a**4 + 102*a*i**3 + 8*i**3 - 10*i**2 with respect to a.\nAnswer: 32*a**3 + 102*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 0. Let z = 2 - f. Let k = 4.2 - 5.2. What is the nearest to z in 2, k, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/(-42))\/(24\/(-28)). Suppose -c - 4*c + 2*t = -6, -3*t = -c + 9. What is the third biggest value in -2, d, 1, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 144*q**2 + 4*q - 4. Let f(r) = -145*r**2 - 5*r + 5. Give -4*f(o) - 5*j(o).\nAnswer: -140*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17829?\nAnswer: 3, 7, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -22, -33, -44, -55, -66?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1380708 to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8\/(-2)*(4807\/44)\/(-19). Suppose -86393 = 4*a - j*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 106, 773, 2532, 5917, 11462, 19701?\nAnswer: 31168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 8*x**2 + 7*x + 9. Suppose -n - 28 = -19. Let d be o(n). Calculate the highest common divisor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 17.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -55709 + 425*z**2 + 55709 as q + n*z**2 + w*z and give n.\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 12:02 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5 + -1*sqrt(68) + -1*(sqrt(68) - (0 + sqrt(68))**2).\nAnswer: -4*sqrt(17) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*y - 4 = -4. Solve -3*d + 2*f = -y*d - 17, 2*d + 5*f = 5 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k**2 - 786*k - 1560 = 0. Calculate k.\nAnswer: -260, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*n + 225, -2*w = -n + 3*w + 88. Is 3 < n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3061891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - a - 148. What is z(-11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 2*z - 5. Suppose -4 - z = -2*u. Which is the smallest value? (a) 2\/11 (b) u (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxnaexeclaeexal. What is prob of sequence aac?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:55 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42829530 to the nearest integer?\nAnswer: 6544","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-5) - (-3)\/(-315))*(-13500)\/(-1000)?\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 762.38 - 723.223. Let y = -852.9 + 814. Let i = p + y. Round i to two dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 4, x: 1, o: 3, a: 2}. Give prob of picking 2 o and 1 x.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -24 + (1 - -5) - -7.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-42)\/(-10) + 32\/(-8). What is the closest to -4 in -0.2, 0.4, m?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 95575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -5*r**2 + 4*r**2 - 20 - 12*r - 2. Let z be 2233\/(-385) + ((-12)\/10 - -1). What is the remainder when 69 is divided by m(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2031*w**3*z + 59*w**2*z - 4*w**2 + 505*w*z + w - 104*z - 3 wrt w?\nAnswer: 12186*w*z + 118*z - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2 + 7862*b + 1156732.\nAnswer: -2*(b - 4073)*(b + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(-115)\/46*(-130)\/400?\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 3.230419ml?\nAnswer: 0.003230419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, j: 4}. Give prob of sequence pjj.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 6*n**5\/11 - 10562*n**4\/11 - 776090*n**3\/11 - 466878*n**2\/11 + 3304244*n\/11 - 2050720\/11 = 0?\nAnswer: -70, -8\/3, 1, 1831","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1104 + 1?\nAnswer: -1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -2*49\/(-1127)*1*-1\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1571 - 0?\nAnswer: 1571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-6*sqrt(66) + sqrt(66))*5 + sqrt(66))\/(sqrt(6) - sqrt(6)*5*-3 - sqrt(6)).\nAnswer: -8*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -17276 at least 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 64\/3 of a day?\nAnswer: 30720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2218500 rounded to the nearest ten thousand?\nAnswer: -2220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 24 = 4*c. Solve -c*n = n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-84)\/(-10))\/(7\/70). Calculate the remainder when 0 + (3 - 0) + u is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus 30.401?\nAnswer: 30.201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 - 13*y + 6. What are the prime factors of f(14)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27234?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25802, -51552, -77302, -103052, -128802, -154552?\nAnswer: -180302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/16373 and -23\/12836432.\nAnswer: 12836432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmmmemmemmmzm. What is prob of picking 1 m and 1 e?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a3 (base 11) to base 4.\nAnswer: -1301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 5:59 AM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 4*o + 160 = -o, -4*n + 129 = -3*o. Suppose 0 = 3*t + 9 - n. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 89c35 + -4?\nAnswer: 89c31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0.06*5\nAnswer: 0.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 46 - -4115676?\nAnswer: 4115744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92463?\nAnswer: 3, 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-5 + -2)) + -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + l + 5. Let f be n(-2). Let s = -0.05 - -0.25. Let z = 13\/3 + -94\/21. Which is the smallest value? (a) s (b) f (c) 20 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1542*m**3 - 3173*m**3 + 1586*m**3.\nAnswer: -45*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11774 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 + 22\/6. Which is the nearest to -0.4? (a) d (b) -0.5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 4*q + 79331 = 0, 179572 = 5*h - 2*q + 47335. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -5. Let k = -91103\/12 + 7600. Find the common denominator of c + 2\/(-40)*-278 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - -50331.354?\nAnswer: 50335.354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.124 + -0.073. Let j = r - 0.551. Let x = 0.3 + -0.6. Sort 5, j, x in ascending order.\nAnswer: j, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -2*j - 20, -3*j + 30 = 4*b - 2*j. Suppose b*t = 121 + 7. What is the greatest common divisor of t and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3 - 844*y**2 - 8240*y.\nAnswer: -2*y*(y + 10)*(y + 412)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4809 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 t when three letters picked without replacement from {t: 8, y: 4, o: 1}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 14 = 5*c. Let r(x) be the first derivative of 5*x**3\/3 - x**2\/2 - x - 1. Let k be r(c). Solve 8 = 5*u - k for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*h*r - 6770*h + 572*r - 1 wrt r.\nAnswer: 3*h + 572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1127409 divided by 3\nAnswer: 375803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 71741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) -2 (b) 3 (c) 5 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 8 = -2. Suppose v + 3*v - 9 = g, -k*v + 3*g + 7 = 0. Solve -5*i + 3 + v = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -146, -591, -1248, -2045, -2910?\n\"Answer: 12*n**3 - 178*n**2 + 5*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2\/9)\/y)**(1\/4))**47 assuming y is positive.\nAnswer: y**(-47\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 + 2*s**2 + 0*s**2)*(1603*s + 33963 - 33963 + (1 + 3 - 6)*(-s + 0*s - s)).\nAnswer: 6428*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 23812777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8388?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 301012683 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977734758?\nAnswer: 2, 3, 7, 11, 13, 173, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16411.\nAnswer: 16411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-24)\/(-32)*(1 - -1). Let f = 0 + -3. What is the closest to -1 in f, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*y + 14900 = 3560. Let h = 426 + y. Let b(g) = -g**3 - 2*g**2 + 3*g - 3. Let q be b(-3). Sort q, h, 4 in decreasing order.\nAnswer: h, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 171187 to the nearest integer?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 5*s**5 - 153935*s**4 + 1538830*s**3 + 616310*s**2 - 23697555*s - 22621095 = 0.\nAnswer: -3, -1, 7, 30777","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-114))\/(381\/(-2286)*(-2)\/1)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 9. Let w(o) = 4*o + 1. Let v be w(7). Suppose d = 2*d + 3, 4*x - 3*d - v = 0. Solve 5*i + 10 = 5*c, -2*i = x*c - z*i - 17 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-90)\/(-60))\/(6\/64). What is the highest common factor of u and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 4*d**2 + 4*d**2)*(-d + 2*d + 0*d) + 2 + 4*d**3 - 2.\nAnswer: 5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -6*u**2\/7 + 156*u\/7 - 1014\/7 = 0?\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -179, -2, 903 in decreasing order.\nAnswer: 903, 5, -2, -179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -246, 0.073, -1?\nAnswer: -246","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 9*m**2 + 2*m - 2. Let r be f(9). Suppose i + r - 22 = 0. Let c(j) = 2*j**3 - 6*j**2 - 15*j + 3. What is the hundreds digit of c(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 u when two letters picked without replacement from {e: 2, b: 2, a: 2, o: 1, u: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 2*j**2 + 3*j - 8. Give u(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**4 - 6*h**3 + 5*h**2 + 6*h - 3. Let a(t) = 6*t**4 + 20*t**3 - 16*t**2 - 20*t + 10. Let z(w) = -6*a(w) - 20*o(w). Factor z(m).\nAnswer: 4*m**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o - h + 46 - 66 = 0, 15 = o - h for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 + -77 - (1 + 22 - 47)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, -2\/9, -51, -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 4. Let h be a(-4). Solve 5*d + 45 = -5*m, -8*d - 5*m = -h*d + 41 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(-22)\/n*n*(n**(-1\/14)*n)\/n*n)\/(n\/n**(-1\/41)*n**(-1\/3)) assuming n is positive.\nAnswer: n**(-35753\/1722)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 58, 201, 430, 745, 1146, 1633?\n\"Answer: 43*c**2 + 14*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 5*d - 4. Let y(x) = 9*x - 11. Let h(p) = 3*y(p) - 7*z(p). Let n(u) = 169*u + 104. Calculate 104*h(v) + 5*n(v).\nAnswer: 13*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**3 + 625*c**2 - 54840*c - 540540 = 0. What is c?\nAnswer: -182, -9, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w. Let c = 2 - -1. Let m be c + -2 - (1 + -5). Suppose h = -3*l + m, -3*l + 4*l + h - 1 = 0. Let s(p) = p. Give l*s(f) - 2*z(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (71*t + 92*t - 64*t + 137*t)*(-2*t - t + 2*t)*(-t - 4*t - 7*t).\nAnswer: 2832*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = t + 2*z, t - 3*z - 6 = -3*t. Suppose -2*r = -v + 4, -t*v = -0*v + 3*r + 24. Let m be -4 + (-8)\/v + 5. Solve m*u + 5 = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g - 5. Let v be u(-10). Let q = v + -2. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.0008 - 14.9992. Sort 5, 0.2, 0.7, c, 2 in ascending order.\nAnswer: c, 0.2, 0.7, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.472 - -2.528. Let b = -106 - -1167\/11. Which is smaller: b or s?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8104, 8102, 8088, 8056, 8000, 7914, 7792?\nAnswer: 7628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(((-63)\/168)\/(492\/(-16))).\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 68*o**2 + 10*o**4 - 3*o**4 - 2*o + o**3 + o + o**4 - 7*o**4 in the form d*o**3 + m + b*o**4 + i*o + u*o**2 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(2*sqrt(4)*5).\nAnswer: sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 + 2*m. Let k be j(-1). Let z be -1*((-3 - k) + 1). Let d be 0 + z\/2*4. Solve 2*l - 2*p = -2, -3*p - d*p = -l - 5 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -787, -753, -719, -685, -651, -617?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 50*i**2 + 337*i + 5130. Give s(-45).\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 4*q - 118 = -0*q, -4*q = 4*p - 160. Does 6 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a**5 + 2*a**5 - 3*a**5 + (1 + 5 + 1)*(-2*a - a**5 + 2*a) - 3*a**5 - 4*a**5 - 3*a**5.\nAnswer: -19*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, g: 2, x: 1, z: 2}. What is prob of picking 1 g and 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26650*m - 26658*m = -2400. Calculate the greatest common divisor of 432 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1*(sqrt(686)\/sqrt(7) + ((sqrt(2) + 2)*-6 - sqrt(2)) + -5 + sqrt(8)\/sqrt(4) + sqrt(2) + -5 + sqrt(18)*2 + sqrt(2)))**2.\nAnswer: -396*sqrt(2) + 642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n - 46 = -20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 6272?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 6:09 PM?\nAnswer: 1:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 18617 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - 2.5. Let a be 7931\/28 + 4 + -4 + 4. Let o = 288 - a. What is the third biggest value in c, 1\/4, -1\/9, o?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 97577503.\nAnswer: 257, 379679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 31200?\nAnswer: 31130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - h**3 - 2*h**3)*(897*h**2 - 439*h**2 - 445*h**2 - 21*h).\nAnswer: -13*h**5 + 21*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6818115 is divided by 35327.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j = 36 - 16 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 252 and 1134?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 + 41 - 26 + 41782*t.\nAnswer: 41782*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164 and 38?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-9 + (11 - 5))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -11*m**2. Let d(o) = -246*o**2 - 89*o - 1. Determine d(s(v)).\nAnswer: -29766*v**4 + 979*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3613 divide 48887503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5097*l**3 - 32 + 1906*l**3 + 3195*l**3 + 32.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17986692 and 1596?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f - 14. Let p be b(-5). Suppose 3*n**2 - n**3 + n + p - 5 - 4*n**2 = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 2*h - 578632. Let s(p) = p - 2. Determine s(j(v)).\nAnswer: 2*v - 578634","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 158040 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 150 and -5940.8.\nAnswer: -5790.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 + -11 + (12 - 0) - -11) + 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24197713?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 44*b**7\/35 - 7*b**5\/30 + 37*b**3\/6 - 4*b**2 - 107. Find the third derivative of l(i) wrt i.\nAnswer: 6336*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*z**2 + 21*z - 3*z**2 - 42 - 28 + 0*z**2 + 10*z**2.\nAnswer: 31*z**2 + 21*z - 70","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -149319.5 * -62.\nAnswer: 9257809","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in minutes?\nAnswer: 80","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 409662997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -1564*s + 6189. Is 13 a factor of t(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (2 - (1 + 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 = -2*p, -2*p = -2*o + 101484. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/498 and 95\/1005622?\nAnswer: 250399878","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*o**3 + 5165*o**2 + 96004*o + 8556 = 0. Calculate o.\nAnswer: -46, -31, -6\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -9. Is 6\/(-4)*(11 - o) + 0 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 q when three letters picked without replacement from {w: 1, q: 5, s: 1, b: 5}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-4))\/(802\/(-7619))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -3*b**2 - 168*b + 8. Let a be h(-56). Solve -18*g + a = -14*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -210*a - 2. Let j(y) = 182*y - 18. What is j(f(q))?\nAnswer: -38220*q - 382","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 527947 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*d - 2*d - 56, 0 = 4*g - 3*d - 122. Suppose -13 = 8*q - g. Solve -x + 7 - q = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**2 - 4*x - 3. Let z = -1 - 1. What is the remainder when w(z) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 64 - 63. Let g be ((4 + v)\/(-1))\/(-1). Find the second derivative of 0*z - 4*z**2 + 4*z**2 + 8*z**g - 19*z wrt z.\nAnswer: 160*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-3\/5)\/f*(f**(1\/3)*f*f)\/f*f**8*f*f**5\/f assuming f is positive.\nAnswer: f**(191\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -194? (a) 8\/5 (b) 0.1 (c) -1 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25919863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -3*u + 7. Suppose t + 24 = 5*t. Let m(y) = -2 - t + 5*y - 3. Suppose -10*c + 9*c = 5. Give c*m(k) - 8*g(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 42*x**5 + 10*x**5 - 10*x**5 + (x**2 - x**3 - x**2)*(x**2 + 2*x - 2*x).\nAnswer: 41*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3)\/(9*1\/(-165603)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1166 or 1162?\nAnswer: 1166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 42, 1, -0.4, -0.5, -2, 0.07?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 12*d + 40, -9*v - 12*d + 2*d + 48 = -7*d - 6*d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9094*d**4 - 13*d - 59. Let f(b) = -36375*b**4 - b**2 - 50*b - 255. Let t(a) = 2*f(a) - 9*q(a). What is the third derivative of t(o) wrt o?\nAnswer: 218304*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 - (1 - 1) - 0. Suppose -59 - 45 = 13*h. Is t at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(242) + -1)*-3 + sqrt(242) + (sqrt(242) - (sqrt(242) - (-5 + 1 + sqrt(242) + sqrt(242))))**2 + ((sqrt(242) + -1)**2 - sqrt(242))*3 + 1 + -5.\nAnswer: -297*sqrt(2) + 1712","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 143 = -5*f + 127, -2*f + 108 = 4*t. Let x(p) = 3*p - 3. What is the remainder when f is divided by x(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 445 = 4*n, -5*n + 68 = -4*f + 5*f. Calculate the remainder when f is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -16, -127, 4, -57?\nAnswer: -127","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c + 1. Let a be 0\/(3\/(3 + 0)). Let b be o(a). Solve 5*d + 3*t + 9 + 7 = 0, -b = -d - 2*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 250 - 202. Calculate the greatest common divisor of 112 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7919 a factor of 638714864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30 - -420214022?\nAnswer: 420213442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.54 - -19.25. Let m = 10.709998757 - d. Round m to seven decimal places.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-23595)\/4184180*(-7)\/1\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15591987, 15591988, 15591989?\nAnswer: 15591990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -10, -5130, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.4 - -0.4. Let f = z + 2.000064. Round f to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -70*i + 5. Let g be l(6). Calculate the common denominator of 13\/2 and g\/40*(0 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 1) + 8 + (-8 - -2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 266*m + 419570000. Let j be f(0). What is j rounded to the nearest 1000000?\nAnswer: 420000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-7632)\/(-5280) - (1 - 1\/2). Let u be (-2)\/5 + 2499\/(-528). Let a = z + u. Find the common denominator of 5\/16 and a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6496, -6485, -6472, -6457, -6440?\nAnswer: -6421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.6 + -11. Let s = k - -6.8. Let w = s - -7.7. Put -1\/3, -3, 2, w in descending order.\nAnswer: 2, w, -1\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 45*d + 46*d = 16, -g = 5*d - 10. Suppose 0 = -g*i + 4*o + 135 + 401, 0 = -5*o + 5. Calculate the remainder when i is divided by 30.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x**3 + 921*x**2 - 23715*x + 7803 = 0.\nAnswer: 1\/3, 51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3\/4 (b) -0.1 (c) -116\/413 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g + 180 = 18*l, -3 = -4*l + 4*l + 4*l - 5*g - 53 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 22*j**2 + 145*j - 147. Let n be q(1). Sort -3\/29, n, -3\/8.\nAnswer: -3\/8, -3\/29, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f. Let j(q) = -4*q**2 + 6*q**2 - 4*q - 7*q**2 - 9*q**2. Give o(j(g)).\nAnswer: 14*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4851630 divided by -5\nAnswer: 970326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 328*i + 212*i - 10.\nAnswer: 540*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b**2 + 51*b + 12. Calculate t(8).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17561*h**3 - 1 - 17564*h**3 - 2*h + 17*h**2 + 0*h to the form d*h + c*h**3 + x + f*h**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 19602*r. Let f(x) = -415*x. Let l(k) = 189*f(k) + 4*g(k). Let v(q) = 227*q**2. Calculate l(v(n)).\nAnswer: -6129*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 12, f: 2, k: 1, o: 2, y: 2}. Give prob of picking 1 o and 1 f.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 72 - -5?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 11*o**2 + 116*o - 296. What is v(-8)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 546495 to the power of 1\/3, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 881 + 700 = -61*q, -2*q - 57 = o for q.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 4940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 62312*s - 299833?\nAnswer: 62312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from wwywwtltvlww?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215, 988, 2161, 3572, 5059?\nAnswer: 6460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3344151891?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(91)*-1 - sqrt(91)) + -2*sqrt(91)*1)\/(sqrt(84)\/sqrt(3)*-2).\nAnswer: -5*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -7 + (-1 - -1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/20981320 and -47\/200.\nAnswer: 104906600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -5 + -1 + (-89 - -102) + 13\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 12437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -36282.\nAnswer: 108846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3*a = -44, 3*n - 5*a + 9 = -11. Let f(p) = p**3 + 9*p**2 - 12*p + 13. List the prime factors of f(n).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/4 - 3322917*v**2\/4 + 6645837*v\/4 - 3322919\/4 = 0. What is v?\nAnswer: -3322919, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 10 + 0 = 0. Let g(q) = -q**2 + q. Let l(p) be the second derivative of -3*p**5\/20 + 5*p**4\/12 - 7*p**3\/6 - p**2\/2 + 43*p. What is r*g(c) - l(c)?\nAnswer: 3*c**3 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 3*t + 3*t)*(3 - 1 + 0)*(-6*t + 42 - 21 - 26) in the form m + o*t + j*t**2 and give o.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7753211?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((1*(sqrt(208) + -1 + sqrt(208) - sqrt(208)) - (-1 + sqrt(208) + 2 - sqrt(208)))**2 + -4).\nAnswer: -64*sqrt(13) + 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457785*d + 656 = -457621*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 divided by -19?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2591429 is divided by 11942?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -7, 1\/8 in decreasing order.\nAnswer: 1\/8, -0.2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - 7) + (14 - (1 + 11)) - -72.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (17\/102)\/(1\/12). Suppose 2*w - 4*r - 10 = 0, 2*r + 4 = 4*w + 2. Which is the nearest to l? (a) w (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 3. Suppose 3*t - 6 - 21 = r. Factor q + 2*q**4 - t*q - 1 + 3 + 12*q**2 - 8*q**3.\nAnswer: 2*(q - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 - 3*p - 1. Let o(k) = 287*k**2 + 872*k - 1. Let x(f) = o(f) - u(f). What is the second derivative of x(q) wrt q?\nAnswer: 572","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2613081*m*r**6 - 5*m*r**3 - m*r**2 - 7*m*r + 7079*r**2 wrt r?\nAnswer: 313569720*m*r**3 - 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 20634.831 seconds?\nAnswer: 0.0341184375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 105\/(-25) + 0 - (-2)\/10. Put -14, -1, b in decreasing order.\nAnswer: -1, b, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*o + 444 = -31*o. Suppose -o = -9*i + 5*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5933.372l?\nAnswer: 5933372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -27 (b) -148 (c) -3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -440 + 440. Solve -4*l + u + u - 8 = j, 2*l - 2 = 4*u for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0077809159 or 2\/9?\nAnswer: -0.0077809159","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pekdeekxe. What is prob of picking 1 p and 1 d?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -37, 0, 5, -0.1 in decreasing order.\nAnswer: 5, 0, -0.1, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 not equal to -2\/29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4183004 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1205\/34864 != 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35066811.\nAnswer: 3, 13, 899149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -212, -772, -1708, -3020, -4708?\n\"Answer: -188*i**2 + 4*i - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 274?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 16\/7 of a week?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 5*t - 2*t + 132, -2*n = 5*t - 40. Let f = n + -16. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*h - 34*h - 5*z = -5355, 0 = -h - 2*z + 1064. What is the remainder when h is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 1. Let x be n(0). Let j = 1 + x. Calculate the greatest common factor of j and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1054)\/(-51) + -19)*12. Calculate the greatest common divisor of 9470 and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1\/3, -116, -3\/7 in descending order.\nAnswer: 1, -1\/3, -3\/7, -116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**4 - 3*f**3 - 11*f**2 + 6*f.\nAnswer: f*(f - 3)*(f + 2)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w = -103 + 31 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -149*u**3 + 126*u**3 - 161*u**3.\nAnswer: -184*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((((n*n**(1\/3))\/n)\/n)\/n))**(-8\/5))**(1\/16) assuming n is positive.\nAnswer: n**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.37 and -270204.3.\nAnswer: -370179.891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1063.000002622 - 1063. Round l to 7 dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1003 and 102.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86583 (base 9) to base 3.\nAnswer: -2220122210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 9*j + 10. Suppose -2*s - 20 = -0*s - a, 36 = -4*s + a. Let r be h(s). List the prime factors of r\/((-12)\/7 + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 560 + 10758*y - 559 - 10082*y.\nAnswer: 676*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -2*o**2 + 16*o + 4. Let h be d(22). Is -611 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4567, -2\/3, -3\/8, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 515406152?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.579, -0.4, 4.6025 in increasing order.\nAnswer: -1.579, -0.4, 4.6025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -147 - -153. Suppose 0 = 4*g - 2*a - 20, 4*a - s = 3*g - 26. Calculate the smallest common multiple of 66 and g.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 126294 and 672.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 11*h. Let p be w(9). Let q = p - -9. Calculate the remainder when 80 is divided by q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1164.00000693 + -1164. Round k to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that a**2\/5 - 6108524*a + 46642581823220 = 0.\nAnswer: 15271310","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 46241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -835.55458?\nAnswer: -838.55458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(2\/5))**(-37))**(-38) assuming k is positive.\nAnswer: k**(9842\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 245.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-6)*3 + 1. Suppose -z*n = -3*x - 30, 5*n - x = 2*x + 54. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6d (base 14) to base 6.\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*g**2 - 53*g**2 - 15*g**2.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x*x**(-8)))\/x)**(-37) assuming x is positive.\nAnswer: x**(-259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*r - 3*h - 698, r - 4*h - 133 = 35. Does 16 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -29 + 4 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3792 + -75757\/20. Let w = 13833\/4556 - 4\/7973. Find the common denominator of n and w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -94 + 207805*m**3 - 3*m + 94.\nAnswer: 207805*m**3 - 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6144117760?\nAnswer: 2, 5, 11, 127, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 - 276 = -6*a. Let d be 238845\/a + (-4)\/(-14) + 2. Let l(c) = d + c - 2277. Let t(x) = 2*x - 3. Determine l(t(h)).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8614 divided by -491.\nAnswer: 8614\/491","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2 - 13*q + 40.\nAnswer: (q - 8)*(q - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71*x - 32*x - 546 = 0. Suppose 2*l + q = 7*l - 9, 17 = 5*l - 3*q. Let s be 14\/(-6)*(l + -7). Do x and s have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f**3 + 2*f**3 + 0*f**3)*(-3 + 3 - 2)*(-4*f + 5*f + 5*f)*(-16*f + 2*f - 2*f).\nAnswer: -960*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1\/(f\/f**(-2\/7)))\/(f**(-2\/5))**(-2\/163))**(-50) assuming f is positive.\nAnswer: f**(16580\/1141)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1101474*l**3 - 158 + 158.\nAnswer: 1101474*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**6*c**(-1))\/(c\/c**4*c*(c\/(c\/c**(3\/5)*c))\/c))\/(c**4*c*c**(-2\/9)*c*c*c\/c**2*c*c*c\/((c**(-1\/4)\/c)\/c*c)) assuming c is positive.\nAnswer: c**(-293\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - -65. Let h = a - 90.7. What is h rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -524141 + 311?\nAnswer: -523630","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by -96.\nAnswer: -11\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 479463, 959040, 1438617, 1918194?\n\"Answer: 479577*u - 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j. Let i(o) = o**2 - 12*o - 11. Let w be i(13). Let v(b) = 6*b**w - 3*b**2 - 3*b**2 - 6*b**2. Determine v(p(m)).\nAnswer: -96*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.2 - -1.9. What is the closest to n in 2, 3, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6645.744 millennia to months.\nAnswer: 79748928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 307*y + 6354. What is the units digit of w(-9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**3 + 3675*w**2 - 654615*w - 7652095.\nAnswer: -5*(w - 373)**2*(w + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 24886*u**3 + 3*u**2 - 1. Let z be n(1). Suppose z = 3*v + 3*m, 3*m = -2*v - 2318 + 18907. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-7)\/((-28)\/(-16)) - -59?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14513 is divided by 2821?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 11*t**3 + 2*t**2 - t + 1. Let n(u) = u**2. Let l(s) = f(s) - 2*n(s). Let k be l(1). Factor -3*g**2 - 1 + 7*g**3 - 2*g**3 - 7*g - 5*g**2 + k*g**3.\nAnswer: (g - 1)*(4*g + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -5. Let c be 5*r\/(-20)*12. Suppose -3*m = 2*v - 15, c*v - 4*v - 7 = 5*m. Calculate the remainder when v is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b1 - 1a676?\nAnswer: -1a757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**4\/21 - 3998*y**3\/21 + 199664*y**2\/21 - 2133976*y\/21 - 2768896\/7 = 0. Calculate y.\nAnswer: -2048, -3, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from jjjbjqjqbqjbbjjb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -44821 - -67050. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4229 less than 4229?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 4*f - 2*f)*(37 + 0*f - 40 + 2*f)*(f**2 + f - f).\nAnswer: -10*f**4 + 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o. Let x(r) = 2*r. Let t(q) = -7*k(q) - 3*x(q). Let p(n) = 1. Let v(b) = 2*b + 4. Suppose 2 + 0 = 2*u. Let i(s) = u*v(s) - 4*p(s). What is i(t(h))?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1559 + 1565. Solve 5*p + 6 = 4*v, -i*p = -p + 2*v - 18 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q - 3*q - q + (-3*q + 0*q + q)*(-2 + 3 - 3) + 2*q - 4*q + 3*q + (1 + 2 - 5)*(q + 0 + 0) - 21*q - 26*q - 26*q.\nAnswer: -69*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1263889.58900057 + -1263889.5. Let g = o - 0.089. What is g rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*t + 16*t - 32 = 4*q, 5*q = -9*t - 37 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 36*r - 28 - 44 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4952 + -3178. Does 84 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -198293 (base 11) to base 16.\nAnswer: -4a2c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 6. Suppose -h*p - 23 = 1. Let w = p - -19. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**3 - s**2 + s + 1. What is the units digit of z(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 9:41 AM?\nAnswer: 293","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-4\/9)\/z*z)**(-3\/16))**(9\/4) assuming z is positive.\nAnswer: z**(3\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/6408 and 17\/1308.\nAnswer: 698472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -500*a*r**5 - a*r*x - 2660*a*x - 71114*r**3*x + 210*r - x wrt r?\nAnswer: -10000*a*r**3 - 426684*r*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/9))\/i*(i*i*i*i**(-3))\/i)\/((i**5*i)\/i**5)*(i**(-1\/4))**20*i**(-1\/5)*i*i*i*i**(-6)*i assuming i is positive.\nAnswer: i**(-419\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -563*u - 114 = -582*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*r = -2*i - 1, 5*i + 5*r = 20. Let b = i - 1. What is the lowest common multiple of 1 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/5 of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 3\/2 (c) 0.1 (d) -4 (e) 76\/499\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 6:07 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -15 and -12455.18.\nAnswer: 186827.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 223952 + -154722. Round z to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ulul when four letters picked without replacement from {u: 5, l: 5}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -1\/3*l**3 + 0 - l - 9\/2*l**2. Let x be j(-5). What is the third biggest value in 3, 0, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -65 + 69. Suppose 0 = 4*l - 2*t + 6*t - 168, 5*t - 164 = -o*l. Suppose 0 = -7*k + 115 + l. What are the prime factors of k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 266\/19*(-20)\/35\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -84.46 - 6\nAnswer: -90.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 20 = -4*w. Let o(a) = 3*a - 4. Let l(s) be the first derivative of -s - 2*s + 2 + s**2 - 5. Give w*o(z) + 5*l(z).\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681185 is divided by 26199?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8b6a9a4 - 0?\nAnswer: -8b6a9a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/9)\/(4\/6 + -1). Suppose -3*g - 7 - c = 0. Let z be g\/(-8) - (-111)\/24. Solve -z*d - 7 - 4 = -2*a, -4*a - 3*d + 9 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 5*n + 18 = 0, -3*m - 3*n = -2*m - 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0 - 5 + 3 + 4 + (2 - 6 + 3)*(-1 - 2 + 1) - 3 + 6 - 2 - 1 + 3 + 1)*(-2*u**2 + u**2 + 0*u**2) + 10*u**2 + 18441*u - 28 + 18437*u - 36879*u.\nAnswer: 4*u**2 - u - 28","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + m + 1. Suppose -g + 3 = -0, 2*u + 15 = 5*g. Let y be x(u). Suppose 3*w - 10 = -y. What are the prime factors of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3\/2 (b) -0.3 (c) 9 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000028451 rounded to six decimal places?\nAnswer: -0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - -121123?\nAnswer: 121132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3160*h**5 - 9326*h?\nAnswer: 63200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 q, and 1 m when three letters picked without replacement from lddmllmlldqdlmddqlq?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 14 + 2 + 9 + 56*k + 3*k - k - k + (-3*k + k + 0*k)*(-1 - 2 + 2) + k + 0 + 0 + 4 - 2*k - 4 to o*k + g and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x - 335. Suppose 3*k - x = 2*k. Is k a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-36*285)\/(-3) - -2. Let a(m) = 3422 + 4*m**2 - g. Let p(t) = -5*t**2. Determine p(a(i)).\nAnswer: -80*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -77.4 - -77. Let u = 6.4 - -0.6. Put u, -3, l in decreasing order.\nAnswer: u, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*s**5 - 10*s**4 + 16*s**3 + 80*s**2 - 32*s - 160 = 0. Calculate s.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i**5 + 1200*i**4 - 46340*i**3 - 101160*i**2 + 146304*i = 0 for i.\nAnswer: -3, 0, 1, 48, 254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69936, 69920, 69904, 69888, 69872, 69856?\nAnswer: 69840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(252) + 3)**2 + ((sqrt(252) + 1 - sqrt(252))*4 + sqrt(252) - sqrt(252))**2.\nAnswer: 48*sqrt(7) + 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z**3 - 79*z**2 - 23*z - 538. Determine w(40).\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000316314 rounded to six dps?\nAnswer: -0.000316","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**3 + h**2 - 3*h - 1. Calculate z(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 94 + -62. Let h = 31.999875 - y. What is h rounded to five decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(9)\/sqrt(3) + 2 - (sqrt(15)\/(sqrt(5)*-1))**2 - (-3 + sqrt(15)\/sqrt(5)*-5)).\nAnswer: -18*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19\/2? (a) -5 (b) 2 (c) -1 (d) -1253 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*a + 120 + 342. Let s = a - 17. Suppose -4*z + s = -28. Solve 7 - z = -3*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l**5*x**2 - 7006*l**4*x**3 - l**2 - l*x**3 - 2970 wrt l.\nAnswer: -60*l**2*x**2 - 168144*l*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 524 divided by 182\nAnswer: 262\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 5*t**2 + 10)*(4*t**2 - 4*t**2 + 8*t**2 + (-5 + 5 - 1)*(-3 + 3 + 2*t**2)) in the form h + x*t**3 + u*t + d*t**2 + m*t**4 and give m.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*n + 0*n + 2*n)*(2 + 1 - 4) - 2 - n + 2)*(-2 + 1 + 0) + 59*n + 22*n + 2*n.\nAnswer: 82*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:24 PM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 5108668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j - 82744 + 82744.\nAnswer: 16*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -15*p + 243. What is g(-20)?\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -111100111101000 (base 2) to base 10\nAnswer: -31208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b*b**(-2\/13)*b**(-1)\/b)\/(b**0*b)**31*(b**1)**(14\/5)\/(b**(-1)\/b)**28 assuming b is positive.\nAnswer: b**(1862\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -43*j + 2. Let i(o) = -1. Let f(g) = -2*i(g) - t(g). Let a be f(1). Let r = 73 - a. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 12*m - 9 + 60*m + 31*m - 2*m.\nAnswer: 77*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -150*f**2 + 1026*f + 174. Give s(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -8*d**3 + 609*d**2 + 79*d - 184. List the prime factors of a(76).\nAnswer: 2, 13, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 3*y - 169, -151 + 456 = 5*y + 5*s. Let m = y - 52. Suppose 6 = m*t - 36. Let n(j) = j**3 - 6*j**2 - 2*j - 8. Give n(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 752 in -1\/2, -0.1, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1.75 times -3369.2\nAnswer: 5896.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 512\/(-192)*3\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3)*3 + 6*(sqrt(7) - sqrt(63)) - (sqrt(175) + -1 - (-5 + (sqrt(7) - (sqrt(7) + (sqrt(7) - sqrt(112)) + sqrt(7) + sqrt(7))))).\nAnswer: -13*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -599 + 612. Solve 13 = -y*w - 39 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 537700771?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5438 = 614*u - 2598 - 5291 - 13689 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 158\/(-4) + 8\/16. Is (-129)\/(-2) - z\/26 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1334*t - 997 = -2556*t + 1319*t + 1525 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (-1 - -1) - (-27 + 39 - 45)\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 10, 0 = 12*x - 10*x - 3*o - 21 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = 2*q. Solve 4*w - q = -23 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 3*d - 17 = 0, -10 = -r - 3*d + 3. Let z be 49\/(-10) + 7 + -8 + 6. What is the second smallest value in 2\/13, z, 0.4, r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 311*m**2 - 292*m - 6059. Give s(312).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**6\/60 + 133*u**5\/30 + 374*u**4 + 1452*u**3 + 2*u**2 + 250. Solve i(n) = 0.\nAnswer: -66, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, f: 11, y: 5}. What is prob of picking 1 k and 2 y?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3122123021 (base 4) to base 3\nAnswer: 1200110020202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (103 + (-23265)\/225)\/(1 + (-13)\/10)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1075 divide 342779875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((105\/28)\/(-6*15\/(-80)))\/(13\/78)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -15*o**3 + o + 2*o**2 - 5*o**2 - 2*o**4 + 2*o**3 + 14*o**3 in the form j*o + c*o**4 + s*o**3 + r + b*o**2 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 190723.6 years in decades?\nAnswer: 19072.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 32352, 214, -0.25?\nAnswer: 32352","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1, -9, 109, 710, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2091 + -11.4811. Let n = -0.228 + v. Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.02 - -14.98. Suppose z - 3*g - 14 = 0, -4*g + 2*g - 15 = 5*z. Which is the third smallest value? (a) -0.3 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 0, 5*c - 6 = 4*a - 2*a. Put -4, -1, a in decreasing order.\nAnswer: -1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/23)*q)\/q*(q\/(q\/((q**(-4)*q)\/q)))\/q*(q**1\/q)**23 assuming q is positive.\nAnswer: q**(-113\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g + 0*g - 7677 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -127121\/6 or -21188?\nAnswer: -21188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 + -0.258?\nAnswer: -0.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -61975022 divided by -61975022\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 417*c + 40 = 397*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*((50\/10)\/(495\/(-66)))\/(2\/25).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 2276 and 1604 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -42 + 56. Suppose 0 = -z*d + 13*d + 1. Solve -d = 3*m + 5 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**4 + 4992*o**3 - 44622*o**2 - 104232*o - 54615 = 0. What is o?\nAnswer: -1, 11, 1655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 26899.834 rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.88646 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -321203033 (base 4) to base 5.\nAnswer: -30020402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -2 - p + 2*p - 2*p - 7. Give c(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*-2*9\/(-90))\/(1370\/2055).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*1*sqrt(78))\/(-2*sqrt(150)) + ((sqrt(104)*-3)\/sqrt(8) + sqrt(13) + (-1*sqrt(104))\/sqrt(8) + 0)**2.\nAnswer: 6*sqrt(13)\/5 + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -99*r**2 + 91*r - 6. Let n(z) = 33*z**2 - 32*z + 2. Calculate 8*n(l) + 3*w(l).\nAnswer: -33*l**2 + 17*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*w - 8351 + 2831. Calculate the highest common factor of w and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((-2)\/8*-2). Suppose z + 4*h - 9 = 0, -6*z + 2*z - 4*h + 12 = 0. Let t = z + r. Solve t = 3*k - 8*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 970?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/5 - 6333*c\/5 - 170262\/5.\nAnswer: -(c + 27)*(c + 6306)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6507857 + 34?\nAnswer: 6508002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence csc when three letters picked without replacement from cssccsccsccccc?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3388583 and 506704.\nAnswer: 54217328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 943*a**3 + 1213 - 945*a**3 - a**2 - 1213 + a**2.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 3*n**2 + n + 1. Let m be h(2). Let s be (m - 6*-1)*1. Suppose 45 = s*c + z, -z + 55 = 4*c - 4*z. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -1 - 5. Let i = z - 2. Let v = i - -27. Round v to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3288 - 3288.19. What is the biggest value in -0.1, q, 3\/4, 0.5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = 191*r + 754, -2*s + 408 - 368 = -5*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5156388563 from 6.111.\nAnswer: 5156388569.111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j + 2. Let t be l(1). Let i(b) = 2*b - 3. Let g(o) = -o. Give t*g(y) - i(y).\nAnswer: y + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -2*o**2 - 3*o + 5. Let b be -5 - -2 - -4 - 6. Calculate f(b).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v**3 - 13*v**3 - 9*v**3 + 2*v**3.\nAnswer: -23*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(200) + (sqrt(200) - (sqrt(200) - -3*sqrt(200))))\/sqrt(10)*2)\/(sqrt(400)*-1*2).\nAnswer: sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56a (base 14) to base 8.\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qetteqttetethett. Give prob of sequence he.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 11*y**2. Let k(f) be the second derivative of -20*f**4\/3 - f**3\/3 - 24*f - 58. What is k(d(a))?\nAnswer: -9680*a**4 - 22*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 185303117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 512160 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -17*q. Let v(t) = -55998*t**2. What is v(h(r))?\nAnswer: -16183422*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 76*u**5 - 11 + 12 - 29*u**5 + (2*u**3 + 0 + 0)*(-4*u**2 + u**2 + u**2).\nAnswer: 43*u**5 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 116 in decreasing order.\nAnswer: 116, 3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 92\/5 - 19. Let g = 43 - 45. Which is the nearest to -1\/4? (a) g (b) -1 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwauawuuaqeaqaaaa. What is prob of sequence auqx?\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7685 (base 14) to base 5.\nAnswer: -1124001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44 - (31 + -15 - 33)) + 118.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 180.7 + -182. Let g = 45 + -40. Which is the nearest to 2? (a) g (b) v (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116*m**2 + 41*m**2 + 42*m**2.\nAnswer: 199*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 5.4, -6090\/823?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 - y + 4. Calculate n(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2624 - 2634 = -478*n for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2180 = -135*x + 26*x for x.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55670900?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sassssspssssasspsp. Give prob of sequence aps.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*d**3 - 2022*d**2 + 12240*d.\nAnswer: -3*d*(d - 6)*(d + 680)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 9:21 PM?\nAnswer: 1:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*1427.\nAnswer: -5708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 11 = -5*o, 2*o - f = -5*f + 22. Suppose -1 = m - o. Suppose q - m - 1 = -4*n, 0 = q - 2*n - 3. Solve -3*y = -12 + q for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 0 - 40 = 0. Let y be 24\/(-160) - ((-24)\/w + 2). Let t = 0 + 0. What is the closest to t in -1, 0.2, y?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -643238379, -643238377, -643238373, -643238367?\nAnswer: -643238359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8025.64718 and -32.\nAnswer: 7993.64718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 11*q**2 + 3*q - 8. Let y(z) = 11*z**2 + 2*z - 6. What is 3*i(u) - 4*y(u)?\nAnswer: -11*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -375 - -584. Is 11 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*y**3 + 57*y**2 - 93*y**2 + 36*y**2.\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4*p = -56, 4*m - 8*p - 86 = -3*p. Suppose -s - 3*y + 15 = 0, 3*s - m - 5 = -5*y. What is the second biggest value in -9, -2, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((1*sqrt(1188))\/(sqrt(6)\/(sqrt(8)\/sqrt(4))) + sqrt(1331) + 2 + (sqrt(88) + 3*sqrt(88))\/sqrt(8))**2.\nAnswer: 84*sqrt(11) + 4854","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -276*j + 42 - 310 - 8 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81490.7 less than 7?\nAnswer: -81483.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + -3bf8?\nAnswer: -3bfb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the third derivative of b**5\/60 + b**4\/24 + b**3\/3 - b**2 + 3. Let y(p) = -p**2 - 2*p - 3. Suppose -3*u = -4 - 5. Determine u*y(k) + 4*i(k).\nAnswer: k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**6\/12 + l**5\/30 - l**4\/24 - 128*l**2. Let n = 103 - 102. Determine z(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, h: 1, p: 1, n: 1, v: 8}. What is prob of sequence hp?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/(-3))\/(-1*50\/90). What is the highest common factor of c and 92?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 19*w**2. Let f(h) = 149*h**2 - 2*h + 14. Give f(k(i)).\nAnswer: 53789*i**4 - 38*i**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03*0.119.\nAnswer: 0.00357","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*x - 4*x = 628 + 705. Calculate the remainder when 797 is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 5*x**2 + 8*x - 4. Is j(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 254?\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(80) + -1 + -2 - (sqrt(80) + (-1 + sqrt(80))*3)) + (1 + -2*sqrt(80) - (sqrt(80) + ((1 + sqrt(80) - sqrt(80))*-6 - sqrt(80)))))**2*1*-5.\nAnswer: -10245 + 1400*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 51 = -9*h. Let g be (120\/h)\/(-5)*9\/(-6). Solve -10 = -3*r - 2*r - 3*k, g*r - 8 = -2*k for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -643969.3992 - -643731. Let d = o - -242.39. Let b = d - 4. Round b to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3667674 less than -192.82923?\nAnswer: -3667866.82923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 107 - 103. Put 0, 3, g, 1\/7 in ascending order.\nAnswer: 0, 1\/7, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -85\/3292548 and 40\/8379.\nAnswer: 69143508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 1200?\nAnswer: -1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -8 + (0 + -18 - -17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4939 times -8?\nAnswer: 39512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 63. Let h = k + 40. Solve d - h = 3*s - 0*d, 0 = 5*s + 3*d + 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**3 - 15*n**2 + 22*n - 62. Let j be a(15). Find the common denominator of -91\/8 and ((j\/24)\/1)\/((-33)\/(-6)).\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phwpuwcu. Give prob of sequence hu.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 0 - 6*i**2 - 44*i + 0*i**3 - 1\/3*i**4. Differentiate g(y) wrt y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10739*n**2 + 10392*n**2 + 4*n - 19539*n**2 as o*n**2 + p*n + k and give o.\nAnswer: 1592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8510.\nAnswer: 2, 5, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of 1\/12*u**4 + 15*u - 3\/2*u**3 + 0*u**2 + 0. Determine f(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*r**(6\/13)*r*r\/(r*r\/r**(-4\/5)*r*r) assuming r is positive.\nAnswer: r**(-87\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 62*a. Let f be s(-32). What is the highest common divisor of f and 90?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-11)\/26)\/((-13)\/(-4)). Let k = i + -4\/169. Let p(l) = l + 6. Let s be p(-5). Which is the smallest value? (a) -3 (b) s (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 9*i**2 + 19*i + 146. Let u(f) = 16*f**2 + 37*f + 290. Let d(c) = -9*a(c) + 5*u(c). Calculate d(-7).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 6:52 PM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.4349 (b) -104\/9 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 77\/3 of a year in months?\nAnswer: 308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96.1546 rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -2*o**3\/3 - 5*o**2\/2 + o. Let w be l(-2). Solve 0*p - 3*p + w*x + 3 = 0, 1 = 3*p - x for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - f = -1158, 12*f - 364 = -i + 19*f. What is the greatest common factor of 154 and i?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**2 + 13*b + 2. Let r(p) = -5*p**2 - 14*p - 2. Give -4*f(d) - 3*r(d).\nAnswer: -d**2 - 10*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.8434903 kilometers?\nAnswer: 84349.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*o**3 + 2 - 16*o**3 - 2*o**4 - 6*o**3 + 2*o + o**2 + o**2 as g*o + w*o**2 + f*o**3 + h + d*o**4 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33 - 29. Let b(x) be the second derivative of -1\/3*x**3 - 4\/21*x**k + 0 + 8\/35*x**5 - 1\/7*x**2 - x. Suppose b(o) = 0. What is o?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2 + 2)*(-517 + 1924 + 1083 - 71).\nAnswer: -4838*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 3\/5 (b) 2\/7 (c) 0.3 (d) -0.4 (e) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 8*p = -24. Suppose 0 = -5*q + p*q - 21. Suppose -2*w = -q*w + 105. Does 7 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 - 8*v + 3. Let g = -8 - -16. Let p be t(g). Let m(k) = 9*k - 5 + 8 - p. Let z(o) = -o. Calculate m(z(s)).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-1 + 1 + 0 - 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/32 - (27\/(-4) + 1). Suppose q*k - 2*k - 120 = 0. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9071*688.\nAnswer: 6240848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -553540122 by 6.\nAnswer: -92256687","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-17)\/476*2\/(4\/(-49)). Let r(l) be the first derivative of -3\/10*l**5 + 0*l - 12 - 1\/4*l**2 - s*l**4 - 5\/6*l**3. What is b in r(b) = 0?\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -35, -105, -175?\nAnswer: -245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 5*y - 292 = 0, 2*o + 57 = -2*y + 257. Let i = o - -5. Let h = i + -29. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 0. Let o = -33 - -34. Let q = 2\/473 - 483\/2365. What is the second smallest value in z, q, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, n: 5, c: 3, m: 3}. Give prob of picking 2 n and 1 c.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 102757029838.4.\nAnswer: -102757029837.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 125\/(-100) + ((-30)\/8 - -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3442 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -4\/7, -1\/233, 0.3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1, 0.18, -2.\nAnswer: -5, -2, -1, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-74)\/(-176) + 30\/(-80). Let k = p - 6\/11. Which is the nearest to k? (a) 0 (b) -0.1 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvx when three letters picked without replacement from {x: 1, j: 1, h: 1, s: 1, t: 1, v: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b67 + 117?\nAnswer: -a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18065*k**5 - 537*k - 24 wrt k?\nAnswer: -361300*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 6*a - 6. Let b be f(4). Suppose -m = m - b. Let v be 2\/4 + ((-18)\/12 - -1). Sort 4, v, m in increasing order.\nAnswer: v, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -16. Let c(r) = 4*r**2 + 3 - 1 + 5*r + r**3 + 4 + 3*r**2. Determine c(z).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**3)*p*p**5)**(5\/17) assuming p is positive.\nAnswer: p**(15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4181 to the power of 1\/2, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -224011 (base 6) in base 5?\nAnswer: -1102030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**3\/9 - 6*n**2 - 350*n\/3 + 28750\/9.\nAnswer: 2*(n - 25)**2*(n + 23)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-4) + 3\/(-6). Suppose p = -5*o + 3*c - 19, 3*o + 5 = -o - c. Is 6 a factor of (o\/4)\/(3\/(-72))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*o + 153\/4 - 1\/4*o**2 = 0. Calculate o.\nAnswer: -17, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 + -0.05549?\nAnswer: -58.05549","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(18 - 1 + 8)*(-5*y + 3*y + 0*y)*(4*y + y - 3*y)*(0 + 0 - y).\nAnswer: -100*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 389 divide 2898160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 19*h + 156. Let r be m(6). Find the second derivative of 74 + r*g**5 + 78 - 14*g + 297*g**5 + 16*g - 11 wrt g.\nAnswer: 6060*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.24 (b) 0 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 3 + 1 + 3*s**2 - 2*s + s**3. Let z be a(-2). Solve -2\/3*y**3 + 0 + 0*y - 2\/3*y**z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v + 30. Give c(-22).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bmmb when four letters picked without replacement from {t: 3, s: 1, m: 4, z: 7, b: 4}?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 16 = 26. Suppose 2*j + 3*j + 1 = 4*a, -3*a + 6 = -x*j. Solve 3 = -2*w - j*z, -5*w - 9*z + 4*z - 5 = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.3 + 7.3. Let u = -23 + v. Let l = u + 6. Which is smaller: -1 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d - 29*d - 67*d + 31*d - 112*d to f*d + k and give f.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 2:23 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2063236 divided by 62.\nAnswer: -33278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 138 - 141. Which is the nearest to 0.1? (a) 7\/3 (b) p (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 6*w - 4. Let u be r(-4). Let n(d) = -d + 2*d - d**3 + u*d**2 - 2 - 7*d**2. Is 8 a factor of n(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.18243 rounded to two dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12424768?\nAnswer: 2, 83, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/21 + 32\/14. Let x(p) = -3*p - 25. Let u be x(-10). Suppose u*k - 25 = -5*z, -z + 0*z - a*k + 9 = 0. Solve 2*i + z = 7 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1960)\/1680)\/(28\/(-312)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 + 61*r**2 + 457*r + 315. Give k(-52).\nAnswer: 887","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -711, -1691, -2967, -4539, -6407, -8571?\n\"Answer: -148*g**2 - 536*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 42044427?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*p + 43*p - 8260 = -69*p for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 143*k**2 + 1010*k + 64. Give n(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u + 3. Let d be o(-10). Let v(g) = 11*g**3 - 4*g**2 + 9*g + 7. Let q(l) = 5*l + 1684*l**2 + l**3 + 4 + 5*l**3 - 1686*l**2. Calculate d*q(s) + 4*v(s).\nAnswer: 2*s**3 - 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**3 + 158*p**2 + 2121*p + 1062. Give k(-26).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 280, 364, 480, 634, 832, 1080?\nAnswer: 1384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. Let t be 2*(-1)\/(-7) + 0. Sort 0, t, j in decreasing order.\nAnswer: j, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1112416 - -4?\nAnswer: -1112412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*c**2 - 13*c**2 - 8*c**6 - 13*c**2 + 25*c**2 wrt c.\nAnswer: -960*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, 1\/29552, 0, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33128?\nAnswer: 2, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8063575 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 7. Suppose 4*k - 76 = 5*l, -2*l + l + 52 = r*k. Suppose -4*d - k = -62. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21089731?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 24 + 21 = 0. Suppose -14 = -y - 3*s, 0*s - i = -3*s. Suppose 4*v = 2*z + 10, -3*z - z - 8 = -y*v. Solve x = -4 + z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/12 + (-1)\/(-4). Suppose -152 = o + s*o. Let b = 64 + o. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**2 + 2*y + 2. Let g = 626 + -620. Let l(q) = -48*q**2 + 33*q + 33. Let j = 245 + -344. Give g*l(b) + j*p(b).\nAnswer: 9*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.86 + 3.971. Is 1 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 158, 1, 25, 38 in decreasing order.\nAnswer: 158, 38, 25, 1","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: -11 + -1 + -1 - (29 - 19 - 8)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17377.64 plus 165?\nAnswer: 17542.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7857526121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 27*r - 25*r - 56, -7*r + 71 = 5*n. Factor 2\/13*t**2 + 2\/13*t - 2\/13 - 2\/13*t**r.\nAnswer: -2*(t - 1)**2*(t + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = s - 4123, 0 = 4*s - 0*y - 5*y - 16526. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 70. Suppose -4*t = -5*k - 331, 2*t - 4*k - 164 = -0*t. What is the greatest common factor of u and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(120)*1)\/(2*sqrt(392)))\/((sqrt(5) - sqrt(10)\/sqrt(2)*3)*-4*-5))**2.\nAnswer: 3\/78400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*f + 80*f + 2*y - 1432 = -3*y + 4*y, 0 = -3*f + 5*y - 6 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -66, -38, 16, 102, 226?\n\"Answer: z**3 + 7*z**2 - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-25) + (-4)\/10. Let o be ((-18)\/(-6))\/(1 + w). Solve 0 + 6 = -o*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3058246175 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/11, -1, 2\/7, -5.\nAnswer: -5, -1, 2\/7, 10\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 507824 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1035870 and 4128.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 69195700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -68 + 73. Suppose 0 = -5*u + 4*j + 22, -t*u - 3*j - 3 = -4. Solve d - 22 = 5*v, -3*d = u*v - 0*d + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -23*p**2 - 9*p + 12. Let i be o(-6). Let k = -357 - i. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1)\/((-247)\/(24*(-23)\/1104)).\nAnswer: 2\/247","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 9*h**2 - 12*h - 5. Calculate the remainder when y(-8) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 315 + -315.357. Let b = o + -0.143. What is the second biggest value in -4, 2\/117, -2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + 11\/(-3) - -3. Suppose -4*t = -5*t + 3, 4*t = f + 17. Suppose 127*d + 68 = 93*d. What is the closest to p in d, f, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of s**3\/6 + s**2\/2 - 6*s - 1. Let u(h) be the first derivative of h**2\/2 + 2*h - 3. Give -2*u(a) + 3*y(a).\nAnswer: a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-21))\/(4\/4).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 5507*q + 10. Let j be m(-3). Let a = 23822 + j. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135 - 133. Let b(c) be the first derivative of 4 - 1\/3*c**3 + i*c**2 + 0*c. What is the second derivative of b(q) wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81.9705 millilitres to litres.\nAnswer: 0.0819705","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160\/80*(-2)\/4*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 35 - 30. Let i(n) = -n**2 - 13*n + 2. Let r be i(y). What is the tens digit of (-344)\/(-20)*5\/r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*i - 28*i = -6. Suppose -p - 4*y = -1, i*y = -4*p + 2*y + 4. Solve r = -4 - p for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + 3*g**2 - 6*g**2)*(6*g**2 + 14 - 14 + (-g + 3 - 3)*(-35*g + 36*g - 30*g)).\nAnswer: -70*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dedddededzddddedzded?\nAnswer: 39\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -97*i + 4 - 3 - 166*i + 21. Let k be y(4). What is k rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 + 68. Suppose 2 - 6 = 2*v. Sort v, g, -5 in descending order.\nAnswer: g, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8161 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 316.71 + -318.71. Let o = 2.5 - 2. What is the nearest to 0.11 in -4, x, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1814*h**2 + 904*h**2 + 913*h**2.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*b + 63 = 128. Suppose b*u + 5*l = 15, 0 = -0*l - 4*l - 16. What is the greatest common divisor of 497 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d - 61. Let o be w(13). What is the highest common divisor of 323 and o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 37*v + 58. Suppose 5*w = -2*s + 3*s + 68, -3*w - 2*s + 46 = 0. What are the prime factors of n(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2970 and -5?\nAnswer: 14850","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17507)\/(-205))\/((-14)\/20).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) 6\/23 (c) 35\/202\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1*140*(-2 - 1). Suppose t = -4*t - x. Calculate the remainder when t\/(-6) - 3\/1 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffmi when four letters picked without replacement from mimfkiwmffmmiwiikwff.\nAnswer: 25\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46.2 + 46. Let c be 4\/(-38) + (-972)\/152 - -5. Sort 5, c, g in descending order.\nAnswer: 5, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s - 6. Let u(i) = i**2 - 16*i + 34. Let w be u(13). What is l(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/4 and 34\/5943.\nAnswer: 23772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**3 + 42*z**2 - z - 7. Let i be j(-7). Solve i = -0*l - 2*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9189, -9213, -9253, -9309, -9381, -9469?\n\"Answer: -8*z**2 - 9181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 3*t - 18, 0 = 3*t + x - 22 + 8. Suppose -6 = -3*n + t*l, -3*l - 6 + 5 = -4*n. Is -4 at least as big as n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -33 (base 6) to base 16.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1202112231 + 1?\nAnswer: 1202112232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c - 40. Let t(i) = -i - 27. Let n(b) = -5*a(b) + 7*t(b). Suppose 2*v = -5 + 17. List the prime factors of n(v).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 274*0.5\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 55*q - 41*q**2 - 55*q - 30*q**6 wrt q?\nAnswer: -3600*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 207731430 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 2*q**3 - 3*q**2 - 125. Let v(s) = -s**3 + s**2 - 1. Give -d(r) - 3*v(r).\nAnswer: r**3 + 128","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9458430 and 9390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together -69.22710538 and -5.\nAnswer: -74.22710538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (122 - 758 - 914)*(d - 4 + 4) to g + f*d and give f.\nAnswer: -1550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*j**3 - 27*j**3 + 8*j**3 + 27*j**3.\nAnswer: 18*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7638 - -7644. What is the remainder when 65 is divided by f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 151*v. Let b be p(14). Let j = b - 61316\/29. Is -1 != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 978626.2 millilitres?\nAnswer: 978.6262","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**17\/(q\/q**(2\/3)))\/(q*q**(1\/2))**47 assuming q is positive.\nAnswer: q**(-323\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 3689847 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 119 and 7140?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 49 and 2562.\nAnswer: 17934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 12*i**2 - 33*i - 35. What is the tens digit of l(15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**10*q))\/(q\/(q*(q\/(q\/(q*q*(q\/q**7)\/q*q)))\/q)))**(3\/22) assuming q is positive.\nAnswer: q**(-45\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 405748 divided by -4718?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -35*n. Let r(s) = -2*s + 43. Give r(w(z)).\nAnswer: 70*z + 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the first derivative of -f**4\/4 + 8*f**3\/3 + 4*f**2 + 6*f + 13. What is the tens digit of k(8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*c + 52, 0*v - 5*c = 3*v + 43. Let b(f) = f**2 + 11*f + 4. Let i be b(v). Let n be (i*2\/(-4))\/(-1). Let g(u) = 4*u - 2. Calculate g(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 4*g + 5*h + 862, 0 = -3*g - 2*h + 1293. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 22 + 14. Suppose -n = -11*r + 2. Solve -r = 2*a + 3 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 12 = b. Is (2 + (b - -4))*90 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 1 + -2 + 10 + -2 + -15\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 52517396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35 = b - 42. Suppose -6*d + b*d - 54 = 0. Calculate the highest common factor of d and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1331679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1943\/145 + 3\/5 - -9.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + -12?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2 + 78*t + 81*t - 180*t. Let b(d) = -2*d**2. Determine b(c(s)).\nAnswer: -882*s**2 + 168*s - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 477233603.\nAnswer: 7, 11, 223, 27793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = u - 13, 6 = 4*t - 3*t + 2*u. Which is the second smallest value? (a) 4 (b) 10 (c) -2 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 58*g**4 + 3*g**3 - 54*g - 2 wrt g.\nAnswer: 696*g**2 + 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from {d: 3, g: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*t + 176 = -9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 713204 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 minutes after 4:23 PM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 6. Suppose c + 4*c - 10 = f. What is the tens digit of 13 - 6\/(-4)*c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*z - z + 5*z)*(29*z + 22*z - 8*z)*(4 - 4 + 3*z) to the form n + a*z + b*z**2 + f*z**3 and give f.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -10 - (17 - 18 - -10).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 7*f - 4*f. Let t = -4 + f. Is (1887 - 2) + 2 - t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3 - 2\/3*v**4 - 2\/3*v + 2*v**2 + 2\/3*v**3 = 0. What is v?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1223451?\nAnswer: 3, 113, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2692 + 131914\/49. Which is smaller: 1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 + 7*x**2 + 9*x - 3. Let o be z(-5). Suppose 0 = 4*q - 4*k - 64, -42 = -5*q + o*k + 44. Differentiate q + 23 + 3*w**3 - 5 wrt w.\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -66, -2, 4, 3\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**7\/2940 - x**6\/630 + x**5\/420 + 31*x**3\/2 + 2*x**2 - 3*x. Let u(g) be the first derivative of p(g). Factor u(o).\nAnswer: 2*o*(o - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -4, -6, 14, 30 in descending order.\nAnswer: 30, 25, 14, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 203 - -93. Calculate the highest common divisor of 37 and o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 5) in base 6?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**5\/13 - 10*x**4\/13 - 16*x**3\/13 - 8*x**2\/13 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n. Let a(b) = -4*b**2 + b - 1. Let z(k) = -1316*k**2 - 28*k + 28. Let v(r) = 28*a(r) + z(r). What is h(v(d))?\nAnswer: -1428*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1 - -0.3. Let r = 3.74 + -30.34. Let x = r - -30.6. What is the biggest value in v, x, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 4. Let s be y(3). Let x(d) = -d + 1. Let g(o) = o**2 - 2*o + 1. Let p(k) = s*g(k) - 15*x(k). Suppose p(u) = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + 1d8?\nAnswer: 1d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7567450*v*x**2 + 4277043*v*x wrt x?\nAnswer: 15134900*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -8. Let i(z) = z**3 - z + 7. Calculate the remainder when 92 is divided by i(a).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 199584, 199683, 199782, 199881, 199980, 200079?\n\"Answer: 99*o + 199485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 2. Let i = 25 + -24.9. What is the nearest to z in i, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -114*l = 86 + 377 + 107. Which is the third smallest value? (a) -6\/11 (b) 5 (c) -0.1 (d) l (e) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315*c - 109*c - 110*c - 100*c.\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -11*m**3 - 4*m**2 - 4*m + 4. Let w(l) = -175*l**3 - 63*l**2 - 63*l + 63. Suppose -4*t = 3*o + 25, -2*o + 173 - 179 = 0. Give t*w(q) + 63*y(q).\nAnswer: 7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345 + -29.5.\nAnswer: 315.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*v**2 - 163*v**3 - 3*v**2 - 377*v**3.\nAnswer: -540*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -67, 3\/5, -28\/29 in decreasing order.\nAnswer: 3\/5, -28\/29, -1, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -2*g + 2, 3*g - 5973 = 4*z - 5966 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77) - (sqrt(77) + (sqrt(77) + (sqrt(77)*-1 - sqrt(77)))*-3 + sqrt(77))) + sqrt(77))\/sqrt(7) - -4*(sqrt(11) + 0)*-5.\nAnswer: -23*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 2:43 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2515791 + 586*y**2 + 10630*y**2 + 2515791 to the form o + v*y**2 + z*y and give v.\nAnswer: 11216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 225 and 693.\nAnswer: 17325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**23)**(-21\/5)*(i\/i**(1\/7))\/(i*i\/(i\/(i\/(i**(13\/3)*i)))) assuming i is positive.\nAnswer: i**(10142\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11117 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 28*z - 25*z - 4670, 3*z + 2*y - 4663 = 0. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5370 and 540?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9325088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 31 and 1333.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17*b**4 + 2*b*g**2 - 158*g**2 + 2*g wrt b.\nAnswer: 68*b**3 + 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6645 + 6645 - 22*i.\nAnswer: -22*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -l**2\/6 + 202*l\/3 - 20402\/3 = 0.\nAnswer: 202","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 13*u + 147. Let f(z) = -z**2 + 6. Calculate t(f(i)).\nAnswer: -13*i**2 + 225","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = 0, -4*q + 15 + 22 = 3*m. Suppose 5*i + 2360 = m*i. What are the prime factors of i?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-72)*-2 - 70\/(-12). Let m = i - 7. Let j(h) = 14*h - 1. Determine j(m).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -11*x + 21 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -g**3\/2 + 25591*g**2\/2 - 81856012*g - 81868808 = 0.\nAnswer: -1, 12796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ms when two letters picked without replacement from {m: 1, s: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.2, 2509, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.9 + 0.1. Let r = 0.4139 + 0.0431. Let o = r + 0.043. What is the closest to -2 in o, -2, g?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*b + 6*b**2 + 17*b + 27*b + 17*b.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.408.\nAnswer: 0.408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from esfye. Give prob of sequence eye.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -114, -129, -168, -243, -366, -549, -804, -1143?\n\"Answer: -2*g**3 - g - 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -158654*h**4 - 279127*h wrt h.\nAnswer: -1903848*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(3) - (sqrt(9) + (sqrt(99)\/sqrt(11) - sqrt(9)))\/sqrt(3)) + sqrt(48) + (3 + sqrt(48))*3)*-1*-3)**2.\nAnswer: 2592*sqrt(3) + 7641","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 + 101 - 308 + 105 + 1751*j.\nAnswer: 1751*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 2 = 0, y + y + 2*a = 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - d**2 + 2*d + 7. Let u(w) = 5*w**3 + 4*w**2 - 7*w - 23. Calculate -7*h(i) - 2*u(i).\nAnswer: -3*i**3 - i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, t: 6, q: 7, s: 1}. What is prob of sequence fttt?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + g - 57 = 3*g, -5*x = 3*g - 77. Let m(k) = 13 + x*k + 7*k**2 - 10*k + 12. What is the hundreds digit of m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 80 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.0163 and -1.\nAnswer: 0.0163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*g + 74*g - 175 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekp when three letters picked without replacement from {c: 5, k: 9, e: 2, p: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21635017 is divided by 890.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 not equal to -57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 5:10 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4860 + 1258 = 7*i. Is 46 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -432 or -431?\nAnswer: -432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 641 and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4*o + 66. What is the remainder when 4 is divided by c(16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 119449628 rounded to the nearest 1000000?\nAnswer: 119000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 196980, 393914, 590848, 787782, 984716, 1181650?\nAnswer: 1378584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 463873422*o - 17931545969832507.\nAnswer: -3*(o - 77312237)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94 + -87. What is the highest common divisor of t and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 4*w + 5. Suppose -4*k - 2*o - 26 = 0, 7*k - 3*k = -o - 23. Determine f(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 + 3*z**2 - 1. Let m be j(2). Solve 2*i = 3*i - m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 3 (c) 27\/2 (d) 1 (e) -4\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/(-12) + (-44)\/(-6). Suppose -c + 2*c = -72. Let z be (-2176)\/c + 4\/(-18). What is the greatest common factor of z and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 47846881?\nAnswer: -95693762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 203 minutes after 8:31 PM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 909970 - 909970 - 2816*c**2 - 281*c**2 - 2*c**3 to the form z*c**2 + x + v*c**3 + j*c and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {e: 4, i: 2, y: 2, v: 2, c: 3}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -5*3.84\nAnswer: -19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -71. Let d = i - -57. Calculate the least common multiple of 13 and d.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21969*x*y**3 + x*y + 40*x - 396*y**2 wrt y?\nAnswer: -131814*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of 3*g**4\/28 + 5*g**3\/7 + 12*g**2\/7 + 12*g\/7 - 8. Factor c(y).\nAnswer: 3*(y + 1)*(y + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14935*b**3*t + 19*b**2*t**2 + 283989*b*t**2 - 7*b*t wrt b.\nAnswer: -89610*b*t + 38*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -677*-1.2.\nAnswer: 812.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24 + -20. Let i = 163\/6 - 27. Let q = -1 - 2. Which is the biggest value? (a) i (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1345286400 to the nearest one million.\nAnswer: 1345000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 19. Let w = 4 - 7. Let s be (-25)\/90 - 3\/(-6). Which is the closest to 1? (a) w (b) k (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*h = -4. Suppose -4 = h*f - 3*f. Suppose -x = -4*o + 14, x - 10 = f*x - 4*o. Solve -x*l - 8 = -2*z + 2, 0 = l + 2*z - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*y - 5*y + 0*y)*(12 + 6 - 4) + 3 + 3*y - 3 to the form r + v*y and give v.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 27047155 to the power of 1\/2, to the nearest integer?\nAnswer: 5201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2183 is divided by 104?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fw when two letters picked without replacement from zddzfggkdgkgdgw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 542*t**2 + 660*t - 329*t - 337*t.\nAnswer: 542*t**2 - 6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1.26913 and 401.7.\nAnswer: 400.43087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 2 - (-2 + 3 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 5:23 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-10)*(-57)\/(-114)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 453 divide 77407603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4804025.3 rounded to the nearest ten thousand?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*t - 1606 = -15*t - 256. Solve -3 + t = -3*s - 3*z, -5*s + z - 10 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u**3 - u**3 + 3*u**3 + u**2 + 2*u**3 - u**2 + (2*u**2 + u**2 - u**2)*(-u + 0*u + 2*u) + u**3 - u + u + 0 + 4*u**3 + 0 + 49*u**3 - 63*u**3 + 54*u**3.\nAnswer: 47*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42120 and 592920.\nAnswer: 7707960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 2*o**2 + o + 3. Let p be w(0). What is the biggest value in -2\/11, -2\/103, p, -0.1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 17*q + 5. Let j(r) = 6*r - 1. Let s(t) = b(t) - 3*j(t). What is s(-7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5545 and 7306092?\nAnswer: 36530460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*b - 1654766, -5*l = 2*b - l - 661884. Round b to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -88024*f + 8. Determine i(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 10) to base 12.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11297 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/5 + 199686*j\/5 + 4430565.\nAnswer: (j + 111)*(j + 199575)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33 - 23 + 20)*(2*g**2 - 3 + 644*g - 644*g).\nAnswer: -72*g**2 + 108","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3062230459 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -21*(5\/(-3) + 2) + -4 + 12. Solve s + z = 2*r, 5*s = -17 - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -31*g**3\/6 - 9*g**2\/2 + 628*g. Let y(r) = 15*r + 4. Determine -4*p(k) - 9*y(k).\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 22447.632 months?\nAnswer: 1870.636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2. Let g(y) = y - 11466. Determine z(g(o)).\nAnswer: -2*o**2 + 45864*o - 262938312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50037.\nAnswer: 3, 13, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*p - 5. Let j = 11 + -11.4. Which is the closest to 2\/7? (a) 3\/4 (b) p (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -2\/33, 16, 1\/5, -17?\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 n when two letters picked without replacement from nnnsdnnnnndnsdnnn?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 77.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -59*c**2 + 2*c. Let t be s(2). Let l = t + 352. What is the highest common divisor of l and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 5485, 10658, 15519, 20068, 24305, 28230, 31843?\n\"Answer: -156*c**2 + 5641*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5\/2)\/y*y)\/(y\/(y\/(y*y**(-3)\/y))) assuming y is positive.\nAnswer: sqrt(y)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*0\/(25\/(-5)). Suppose q = -s - 660 - 3146. Is ((-2)\/(-6))\/(s\/(-1902) - 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 92, 197, 302?\n\"Answer: 105*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 27 = 5*r. Suppose 12*q - 9 = r*q. Solve q*k - 6 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 5*g - 2. Let n be v(-1). Find the third derivative of 76*j**2 + 18*j**6 - 528*j**n + 528*j**4 wrt j.\nAnswer: 2160*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 861 - (6 - 150\/24)*4.\nAnswer: 2, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222 divided by -3\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2310 and 75306.\nAnswer: 376530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 15\/9 + (-2)\/3. Let r(f) = 107*f**2 - 1. Let t be r(u). Let y = t - 29. Calculate the remainder when y is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219126 and 66.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7806, 5133, 2460, -213, -2886, -5559?\nAnswer: -8232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(0 + 2\/(-12)). Find the common denominator of 4\/t + 208\/66 and 134\/4*(-12)\/(-48).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*c + 2 - 26 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60 - 27. Let a = 9215 + -9211. What is the closest to -0.2 in -4\/7, m, a, 2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {d: 3, b: 1, c: 1, p: 4, l: 2, e: 4}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + sqrt(405)*1 + sqrt(405) + sqrt(405) + 2 + 1 + sqrt(405)*-2*3 + (sqrt(405)*2 + sqrt(405))*-1 + -1)**2 + 1.\nAnswer: -648*sqrt(5) + 14619","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397569 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0\/4 + ((-532)\/(-77) - 7)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1568 times 0.07?\nAnswer: 109.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -14098*z**3 - 266*z**2 + 266. Let f(t) = -266*t**3 - 5*t**2 + 5. Calculate -266*f(w) + 5*v(w).\nAnswer: 266*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 102336 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: Suppose -3*f = -3*u - 42, -f - 5*u = -4*f + 32. Let o(t) = 20*t - 176. Let w be o(f). Calculate the greatest common divisor of 34 and w.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-2 + 4 + sqrt(75) + -1 + 1 + sqrt(75) + -1 + 0)**2.\nAnswer: 20*sqrt(3) + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.19 and -8.12.\nAnswer: -1.5428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*i**3*x**2 - 6705093*i**3 - 3*i*x**2 + 55*i*x - 3*x**2 + 77*x - 2 wrt i?\nAnswer: 24*i*x**2 - 40230558*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -14 + 1027237?\nAnswer: 1027223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from dssddddsdd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 0.02, -1\/69, -197\/210?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 419, 418, 419, 422?\nAnswer: 427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18284861841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -1 - 40. Let p = 44 + w. What is the third derivative of u**2 + 4*u**p - 14*u**3 - 6*u**2 - 4*u**2 wrt u?\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((791\/(-28))\/((-158)\/(-1896)))\/(-3)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693212500 to the power of 1\/2, to the nearest integer?\nAnswer: 26329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114 = 6*g + 72 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 3*r**2 + 2*r + 1. Let m be b(-3). Let p = -2 + 1. Put 2, p, m in decreasing order.\nAnswer: 2, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s - 3. Let w(o) = -7 - 6 - 3 + 11*o. Let h(q) = -6*q + 8. Let g(l) = -5*h(l) - 3*w(l). Calculate 4*g(p) + 11*r(p).\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3657 - 463 = 2*f - 4*a, 0 = -5*a + 10. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -932*q + 1073*q + 1736*q + 1755*q - 218*q to j + n*q and give n.\nAnswer: 3414","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + (sqrt(99) - sqrt(99)*-1) + -2 + sqrt(99) + -1 + sqrt(99) + sqrt(99) + -5)*-3.\nAnswer: -54*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-231880)\/1496*(-3)\/((-30)\/(-4)).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -52, -55, -60, -67?\n\"Answer: -c**2 - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n*n**0*n)*n)\/n)**(4\/19)\/(n\/n**(3\/5)*n*n**(3\/4)) assuming n is positive.\nAnswer: n**(-977\/380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -8*h + 900. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101011001101 + 101110010?\nAnswer: 110000111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.1, 0.03101, -296 in increasing order.\nAnswer: -296, -0.1, 0.03101, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k - 1. Let w(b) = 5*b - 6. Let g(y) = -6*u(y) + w(y). Let o(d) = -37*d. What is o(g(x))?\nAnswer: 37*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*s - 4\/5*s**2 + 0 - 8\/5*s**4 - 2*s**3 - 2\/5*s**5.\nAnswer: -2*s**2*(s + 1)**2*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -1376070*a + 8256413. What is l(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0.1 (c) -3157 (d) -0.5 (e) -1\/7 (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 7524?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 15 + 5)*(0*b + 3*b - 2*b).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -224 + 5?\nAnswer: -215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -185 or 1010?\nAnswer: -185","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8550, 19059, 29568?\nAnswer: 40077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.4 + -12.6. Let x = -2.175 - -13.975. Let o = y - x. What is the biggest value in o, -23, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*i**3 + 459*i**2 + 423*i**2 + 426*i**2 - 2148*i**2 + 431*i**2 + 409*i**2.\nAnswer: 9*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -71 - -101. Let s be (1 + 10)*b\/6. Suppose s - 15 = 4*f. Calculate the lowest common multiple of 11 and f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5*(-3)\/(-9))\/((-1)\/3).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 7*f - 2. Let a(w) = 6*w - 12. Let v be a(3). What is the lowest common multiple of 8 + (-4)\/((-3)\/v*2) and b(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2. Let l(i) = 7*i**2. Give -5*l(f) - 40*m(f).\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) 1 (c) -0.22 (d) 7 (e) -2\/2915\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*(i**(-3)\/i)\/i)\/(i*(i\/((i\/i**2)\/i*i))\/i))\/(i\/(i*(i**(-1)\/i*i)\/i)*(i\/i**(-4)*i)\/i*i) assuming i is positive.\nAnswer: i**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*j**3 - 11901*c**3*j - 2*c**3 + 16853*c*j**5 wrt j.\nAnswer: 6*c**3*j + 337060*c*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 513024 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -5*t**5 + 55*t**4 - 210*t**3 + 320*t**2 - 160*t = 0.\nAnswer: 0, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129479 = 7*y - 5*g, 2*y - 4*g - 36994 = -5*g. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13801, -27456, -40937, -54244?\n\"Answer: 87*a**2 - 13916*a + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2838 and 726.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3224500 by -806125.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-2)*25\/10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*v - 19*v + 1600. Suppose 4*w = -3*k + 129 - 43, -4 = 4*w. Calculate the lowest common multiple of k and v.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17822*a**3 + 47*a**2 - 47*a**2 - 11229631 + 11229631 + a)*(a + 0*a - 3*a) to the form c*a**3 + s*a**2 + o*a**4 + u*a + v and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 13*v**2 - v. Does 14 divide b(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 649288771 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25980 divided by 1732.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -2, -0.3, 3\/10, -27, 61?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11035318*n*q**2 - 353*n*q - 5*n + 1068*q wrt q.\nAnswer: 22070636*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/4 - 1054305*l\/4 - 527153\/2.\nAnswer: (l - 1054306)*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 3*j + 0*j + (-2*j + 0*j + j)*(-1 - 1 + 0) - 5 + 5 - j)*(-2*j + 2*j + 3*j).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2652*z - 3644*z = 807*z - 1196*z + 726561 for z.\nAnswer: -123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -7*3\/(-18)*-6. Let m(s) = s**2 + s - 9. Let c(r) = 2*r**2 + 2*r - 10. Let y(b) = 2*c(b) - 3*m(b). List the prime factors of y(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 12*h - 5. Calculate the remainder when s(3) is divided by ((-4)\/6 + -2)*-3.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*k**2*p + k**2 + 492*k*l + 35*k - 80*l*p + 2*l + 9*p + 78 with respect to k.\nAnswer: 18*k*p + 2*k + 492*l + 35","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*g + g - 75, -120 = -5*x + 5*g. Suppose 0 = 3*n - 4*y - x, 3*n + 4*y = -4 + 15. Suppose -2*j + n*j - 42 = 0. Solve j - 2 = 4*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 plus -3.06433?\nAnswer: -28.06433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (180\/21)\/(46838\/(-14903)).\nAnswer: -30\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 10457 - 10437. Suppose 0 = q - 80 - 166. Calculate the lowest common multiple of q and r.\nAnswer: 2460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 4*g. Suppose 2*o + 1 = 5. Suppose 6 = -o*y + 8. Let j(r) = -r - 1. Calculate y*t(u) + 3*j(u).\nAnswer: u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 111 + -110. Suppose 0 = 2*y + 4*g - 3 - 5, 2*g = y - 16. Calculate the lowest common multiple of y and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + (-3 - (-62 + 21)) - 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 268783 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/32 > 285589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p. Let o(b) = -244*b**2. Calculate o(m(y)).\nAnswer: -244*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - (2 + sqrt(275) + -3 + sqrt(275)))**2 + 2 - ((-3*(sqrt(275) + 3) + sqrt(275))**2 + -1))*3.\nAnswer: -2706 - 570*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -8, 1\/6, -0.2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74 + 98 - 107 - -54?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the second derivative of -11*r**4\/12 + 5*r**2\/2 - 7*r. Let f(g) be the first derivative of n(g). Let u(w) = -w**2. What is u(f(c))?\nAnswer: -484*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -17687*r - 1038 wrt r?\nAnswer: -17687","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5539.04 rounded to the nearest 100?\nAnswer: -5500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 330 = -3*j, 5*f - f = -3*j + 354. Let p = 14 - j. What is p rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60\/(-54)*-411 - (-1)\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 13*f + 49. Let k be r(-7). What are the prime factors of (k + 0)\/6 + 301?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10195 is divided by 2548?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7531 and 1972?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.14659 at least as big as -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 58712265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(76) + sqrt(2736)*-1 + sqrt(2736))*3)**2.\nAnswer: 2736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cpsxuccssut. What is prob of sequence uxus?\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 443718.\nAnswer: 2, 3, 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.6 and -51410036.\nAnswer: -51410039.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.6, -3, 9, -13, 0.082 in ascending order.\nAnswer: -13, -3, -0.6, 0.082, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -6*(1 + (-56)\/3). Suppose -146 - t = -4*f. Suppose 3*v = 5*a - 0*v - 83, 63 = 4*a + v. What is the remainder when f is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 12742952?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 110011 (base 2) to base 10\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = 4*b + 19, 1092*b - a + 17 = 1090*b for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20546, -19361, -17386, -14621, -11066, -6721?\nAnswer: -1586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:01 PM and 7:13 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1720 + 1617. Let b = -52592029.999788 + 52591927. Let x = b - h. What is x rounded to five decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.0157, 2, -3\/7, -4, -2\/13?\nAnswer: 0.0157","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.64522ug?\nAnswer: 0.00000000664522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n + 1 + 10 + 5*n. Let h be a(12). Let f be (5\/(-1))\/((-1)\/1). What is the greatest common divisor of f and h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5691 in -0.1, -111, -32, -1, 0.1, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 - 10 - 29*c**2)*(-18 + 15*c + 18) to y*c + i + n*c**2 + m*c**3 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5 and 395?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 - ((-13 - 11) + 5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 + -52334?\nAnswer: -52343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**2 - 6*t - 7. Let b be s(-3). Solve 0 = b*x + 3*w - 25, 4*w - 43 = -x - 18 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 2*g**2 + 4*g - 4. Let k(j) = -4*j**2 + 12*j + 2. Let t(f) = 3*f**2 - 11*f - 1. Let i(p) = 6*k(p) + 7*t(p). What is -4*i(z) - 5*q(z)?\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + m - 14. Let x be y(6). Suppose n - x - 33 = 0. What is the remainder when n is divided by (-11)\/(-44) - 83\/(-4)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fourty-nine fifths of a hour?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 491374847 to the nearest integer?\nAnswer: 22167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -h - 4*a, 0 = -h + 2*a. Suppose 3*s - 5*i - 2 = 0, i = 2*i - 2. Let j = s + h. What is the lowest common multiple of 8 and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 570331693 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 5 = -v. Suppose -3*z - 1 = v*h - 54, 2*z = -h + 26. Suppose -5*c = z - 51. Is 5 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/4 - 56007\/(-36). Let n(m) = m**2 - 1555 + q. Let i(d) = 1 + 17*d - 19*d - 1. What is n(i(f))?\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13981*6.\nAnswer: -83886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2. Let u(g) = 5*g. Let r be (-70)\/(-15) - (8\/3 + -2). Let z(k) = 10*k. Let b(s) = r*z(s) - 7*u(s). What is b(n(w))?\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 79 and 395.\nAnswer: 395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -376\nAnswer: 1\/188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*s + 3*s + s**4 - s**3 - 2*s + 4*s**3 + s**2 in the form x*s + n*s**2 + b + o*s**3 + u*s**4 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1\/4, 0.3, 391, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5 = 2. What is the tens digit of -1*a + 32\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -3 (b) -0.3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3890 or 3918?\nAnswer: 3918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g + 21. Let q be p(7). Let y(a) = -a**3 + 11*a**2 + 12*a + 9. What is the remainder when y(q) is divided by 58?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 5:19 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = 36*h - 162. Suppose 3*a - 5*a + 18 = 0. Suppose -114 = -a*m + h*m. What is the highest common factor of 171 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - t**2 + 3*t**3 + (-3 - 3 + 5)*(-t**3 - 3*t**3 + 6*t**3).\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*c - 51*c - 15 = 0. Let r = -1\/14 - -4\/7. What is the nearest to -3\/2 in r, c, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llvl when four letters picked without replacement from {n: 1, v: 6, l: 8}.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 40 = 3*j. Factor -19*n**3 - j*n + 2*n**3 + 32*n**2 - 8*n**3 - 35*n**4 + 48*n**2.\nAnswer: -5*n*(n - 1)*(n + 2)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-124)\/22)\/(236\/851488*-164)?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 7. Let s(i) = -i + 11. Let y(j) = -j**2 + 10*j + 1. Let w be y(9). Let k be s(w). Let z(t) = -t - 1. Determine k*d(u) + 6*z(u).\nAnswer: -3*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.0536, -1, -6?\nAnswer: 0.0536","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -4379*h**7\/42 - 37*h**4\/2 - h**3\/2 + 8529*h. Find the third derivative of l(o) wrt o.\nAnswer: -262740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/15? (a) -2 (b) -3593 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 251802 by -4356.\nAnswer: -13989\/242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 5*h. Let y(v) be the first derivative of v - 1\/2*v**4 + 0*v**2 + 3 + h*v**3. Differentiate y(w) wrt w.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + (-3 + 2)*-41. Let q be (-1)\/n + 4\/18. Let j = -1154\/3 + 386. What is the third smallest value in -30, q, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33462*d**3 - 33465*d**3 + 2*d**2 + 547*d + 0*d**2 + 1 - 2*d**4 to the form z*d + o*d**2 + w + f*d**3 + a*d**4 and give z.\nAnswer: 547","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(0 + 2 - 1)*((0 - 6 + 0)*(-3 - 2 + 4) + 1 - 4 + 0)*(f + 2*f + 0*f).\nAnswer: 9*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35912211 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2360537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -1\/11, 6, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 17*k = 40. Suppose -k*f = -12*f. Suppose 2*t - 4*t = -16. Solve -2*m + 2*l + 4 = f, l + 0 + t = 4*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-90))\/((187\/17)\/55).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {c: 3, d: 1, b: 1, v: 4, h: 5, u: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1338 + -537. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1850.307 - -14.807. What is q rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 40899864 and 96?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 773 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 34707887 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3496, 6995, 10496, 13999, 17504, 21011, 24520?\n\"Answer: t**2 + 3496*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3783292 to the power of 1\/2, to the nearest integer?\nAnswer: 1945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*(v**(-1\/4)\/v*v)\/v*v*(v\/v**(2\/3)*v*v*v)\/v)\/(v**2*v**(-2)*v))\/(v\/(v**0\/v)*v*v\/(v**(1\/7)*v))**1 assuming v is positive.\nAnswer: v**(-65\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -15, -145, -503, -1203, -2359, -4085, -6495, -9703?\n\"Answer: -19*r**3 + 3*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.264 - 0.264. Which is the nearest to 1? (a) w (b) -6 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 166*c**3 + 38*c**2 + 74228*c + 3 wrt c?\nAnswer: 996*c + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1404)*2 - sqrt(39)) + sqrt(39))\/sqrt(3).\nAnswer: 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((37\/(-185))\/(28\/35))\/((-28)\/(-72))?\nAnswer: -9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*o = -100, -3*o + 62 = 4*m - 63. Suppose 3*l - 2*l + 13 = -3*c, 0 = 5*l + 4*c + m. What is the second smallest value in l, -0.5, 2\/11?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32*((-18693)\/148428 + (-2)\/38))\/(4\/14).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2\/13)*s*s**(-3))**(-15) assuming s is positive.\nAnswer: s**(420\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*q + 3*d, 2*q + 2 = 5*q + 4*d. Suppose 7*n = 5*n + 4. Let u be (-18)\/n*5\/(-15). Solve -c + 6 = -2*c - 2*j, -q*c + j = -u for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -5, 4, -138, -0.06?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620368136.\nAnswer: 2, 593, 130769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 567750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 5 = 0, 125 = -4*x + 7*k - 2*k. What is the closest to x in 2\/3, -5, -3\/8?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 630?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/3*18\/(-198).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - b + 4)*(-b**2 - b**2 + b**2) - 5*b**3 + 24*b**3 - b**3.\nAnswer: 19*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -606 + 599 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61 (base 15) to base 12.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d**3 + 530*d**2 - 13500*d - 29160 = 0. Calculate d.\nAnswer: -2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 3*k - 3 = 0, -2*f - 2*k + 2 = -f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3694749.159 and -52.\nAnswer: -3694801.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 7:30 AM?\nAnswer: 3:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a*u*x + 3*a*u - 24*a*x - 8*u*w + 2*u*x + u + 39*w*x + 45*w + 2 wrt x.\nAnswer: -a*u - 24*a + 2*u + 39*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*x - q - 3, -4*x + q + 5 = 2. Let t(w) be the second derivative of x - w**2 + 1\/6*w**3 + w + 5\/12*w**4 - 1\/20*w**5. Give t(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3315111117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m. Let t(k) be the third derivative of k**7\/360 + 3*k**4\/4 + 33*k**2. Let u(r) be the second derivative of t(r). Determine h(u(c)).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 231*p - 930. Determine a(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o**4 - 1345*o**3 = 0. Calculate o.\nAnswer: 0, 269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 276 + -159. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of -g**6\/120 + 13*g**5\/40 - 11*g**4\/4 - 4*g**3\/3 + 9*g**2. Let f(q) be the first derivative of n(q). Factor f(x).\nAnswer: -3*(x - 11)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/15)\/((-29)\/87)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3324011014?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5116.7 * 0.3\nAnswer: 1535.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1001010100100110 (base 2) to base 11\nAnswer: 26761","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10011100010010100101 + -1?\nAnswer: -10011100010010100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (14\/(-4) + 3)*26298\/3. Let r be q\/441 + 4 - -6. Is r at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.8 + -2. Let y = l + 7. Let d = -0.1 + y. What is the second smallest value in -2, -1, d?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -110885 > -110868?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 101*v**2. Let d(a) = 51*a - 12. Let i(z) = -21*z + 5. Let b = -56 + 61. Let x(p) = b*d(p) + 12*i(p). What is x(g(s))?\nAnswer: 303*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/76)*m)**30 assuming m is positive.\nAnswer: m**(1155\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 220, 470, 802, 1258, 1880, 2710, 3790, 5162?\n\"Answer: 7*f**3 - f**2 + 204*f + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -348.5 - -112. Let b = a + 237. What is the closest to -1 in b, 0.035, -3?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31 + 31 - 4*u + 4 - 4 + 2*u + (u + 2 - 2)*(-3 - 1 + 5) + (-6*u + 4*u + 5*u)*(3 + 4 - 5) - u - 4*u + 2*u to the form c + o*u and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 250409 + 143291 = 6350*l for l.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2523 - 0.2388. Let y = 1.13779 + -1.157. Let c = d + y. Round c to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650 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: Calculate 24\/11*(-63)\/(68796\/858).\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand o - 2*o**3 - o + (-2*o**2 + o**2 - o**2)*(1 - 1 + o) + 6*o - 4*o**2 - 7*o + 3*o**2 - 5*o**3.\nAnswer: -9*o**3 - o**2 - o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 34*d**2 - 82*d + 4. Does 15 divide v(31)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1975 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -74*d**2 - 135*d + 272. Give r(2).\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2 - 6, r - 2*z = 10. Let y(o) = o**3 - 6*o**2 + 5*o + 2. Let a be y(5). What is the highest common factor of a and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l - 7. Let k be t(7). Suppose 0 = -3*f - 2*g, k = 5*f - 3*g + g - 16. Suppose -8 = -3*z - f. Solve 4*c = 3*s + 1, 22 = 3*c - 0*s + z*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -424 or -415?\nAnswer: -424","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 47 = -3*y, 5*j - 3*j - 44 = -4*y. Solve 17*z - 14*z = -y for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 - 1918*z + 1918*z.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*-3 - (-78)\/(-24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-2)\/(-6) - 239\/(-3))\/(-1). Does w = -78?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -2\/7, 5, -67\/26?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8) + 5 + (-3*sqrt(12))\/sqrt(6).\nAnswer: -sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18471212?\nAnswer: 2, 4617803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 4815.6.\nAnswer: -4810.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1573\/15 + (-4)\/(-30). Suppose j = 2*x + 3*x. Is x a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 8 - (5 - 12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15533 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 17*d**3 - d**2 + 1. Let x = 6 + -2. Let l be 3\/(-3) - (x + -6). Let r be o(l). Solve 4*z - p + 2*p = -r, z + 13 = -2*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + -12. Suppose u*w - 2*j + 496 = 0, -168 = w - 3*j + j. Let p = w + 258. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -82 not equal to -41.345?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a**2 - 11*a - 4 + 2*a + a**2 + 3*a**2. Let y be w(5). Is (5\/((-10)\/y))\/1 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3410 + 27317\/8. Calculate the common denominator of 85\/22 and d.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -328062, -328063, -328064, -328065, -328066?\n\"Answer: -z - 328061","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.1164\nAnswer: 0.1164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -152205 (base 6) to base 13\nAnswer: -694a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-5)\/(-5))*4\/1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a microgram in nanograms?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 80909355*m**3 + 9*m**2 - m - 144949.\nAnswer: 485456130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 548463388, 548463390, 548463392, 548463394, 548463396, 548463398?\n\"Answer: 2*z + 548463386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**3 + p**2 - p + 15. Let f be u(0). Suppose f = 6*b - 3*b. Suppose -b*k - 5 = -6*k. Solve 10 = -k*m, -17 = 3*t + m + 3*m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94277*h**4 - 47133*h**4 + 2*h**3 - 47136*h**4 - 32*h**2 - 8*h = 0. Calculate h.\nAnswer: -2, -1\/4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -448 + 236 + 214. Let b be (-1)\/3 - (-2)\/(-3). Let z(t) = t - 1. Give b*z(m) - q(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -247.4556283 to one dp.\nAnswer: -247.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22727739 to the power of 1\/4, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 83. Let k = -2343 - -2346. What is the tens digit of 18\/4*(3 + s\/k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a gram in milligrams?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2085 - -1622?\nAnswer: -463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2746b2 (base 12) to base 7.\nAnswer: 5350106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 721148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h - 8. Let l(a) = -108 + 364 - 129 - 126. What is b(d) - 2*l(d)?\nAnswer: -d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -q + 4. Let f be 24\/(-36) - q\/6. Solve f = 3*o + 2*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 - 1 + 1 + (12*u - 12*u + 6*u**2)*(u + 2 - 2).\nAnswer: 5*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -592294 * -349\nAnswer: 206710606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.6582 to two dps.\nAnswer: -3.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -235.99766 + 236. Round r to four decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 152554494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 t when three letters picked without replacement from tueieie?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - d**3 + 11*d**3.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -29, -0.9, 19 in increasing order.\nAnswer: -29, -0.9, -0.3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 14934, 14933, 14932?\n\"Answer: -x + 14935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6020437 to the nearest integer?\nAnswer: 2454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23.443 - 24.243. Which is the fifth smallest value? (a) -4 (b) 3 (c) o (d) -5 (e) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5148841, -10297673, -15446495, -20595301, -25744085, -30892841, -36041563, -41190245?\nAnswer: -46338881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 + 126*p**2 + 644*p + 1226. Calculate g(131).\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 5*m - 13 = 0, -5*m - 22 + 71 = 3*w. Suppose -202*v + 2430 = -187*v. Calculate the highest common factor of w and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -27*x**3 - 68*x**3 - 15*x**3 - 2*x**3 + 4*x - 4*x + (x + 4*x - 3*x)*(0*x**2 + 2*x**2 - 3*x**2).\nAnswer: -114*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 2.856378 kilograms?\nAnswer: 2856378000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -5*o - 10. Let p(f) = -9*f - 19. Let c(i) = 5*n(i) - 3*p(i). Let m be c(-5). Let t(g) = g. Let d be t(m). Are d and -4 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -1 + 3 - 1. Let l(q) = -2 + 7814941*q**3 - 6 - 7814945*q**3. What is l(z) + 8*t(z)?\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.37 - -0.03. Suppose 9 = -4*b + 1. Let z be (-7)\/15*b\/7. What is the second smallest value in 3, z, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1671890*p**4 - 397935*p**2.\nAnswer: -40125360*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2539588183.\nAnswer: 11, 107, 2157679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m - 13. Let n be w(13). Suppose 8*p - 4*p - 1636 = n. Suppose 0 = 3*c - 20 - p. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/3)\/((-2 - -5)\/(-18)). Suppose 7*w - 90 = 3*w - 2*a, 4*w - 70 = 2*a. Suppose w = 2*l - l. Calculate the highest common factor of l and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/81, -635, -57?\nAnswer: -635","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 11*t**3 - t**2 + 7*t + 6. Give w(-2).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4 - 16844*k**3 + 524520*k**2 + 3668972*k + 3127610 = 0. What is k?\nAnswer: -8453, -5, -1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29996142 or -29996140?\nAnswer: -29996140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 7*v + 115. Let h be u(-16). Put -16, 1, h in decreasing order.\nAnswer: h, 1, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2042?\nAnswer: 2, 1021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -1*sqrt(300))\/sqrt(10) - (sqrt(90)\/(sqrt(27) + sqrt(3) + sqrt(3)) + sqrt(30)))\/((sqrt(240)*-2 + sqrt(60))\/sqrt(6)).\nAnswer: 2*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, 4, 5, -6, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 99 (b) 5 (c) 6574 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - 3*f - 34, -6*f + 4*f - 6 = -i. Differentiate 11*g**4 - 3*g**4 + i - 21 wrt g.\nAnswer: 32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(132) - sqrt(132)*-5))\/sqrt(12).\nAnswer: -18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + -2 + 4 - (-18 - -19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.6, -109, -0.1, 814?\nAnswer: 814","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000888 rounded to 7 decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -77*x + 73*x - 8, -2*a = -4*x - 2448. Calculate the highest common divisor of 488 and a.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 461, 806, 1117, 1400, 1661?\n\"Answer: r**3 - 23*r**2 + 407*r + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 1. Let z(m) = -m**3 - 3*m**2 - 5*m + 3. Suppose -12 = -4*t + 2*t. Let w(q) = t*a(q) + 2*z(q). Suppose w(d) = 0. Calculate d.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - -4 - -4 - (-11 + 0 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 65*p**2 + 14*p + 50. Give h(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11011120010 (base 3) in base 11?\nAnswer: -56717","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 26*p - 273. Let n be b(10). Let a be -8 - (0 + 1)*n. Solve 3*z = 2*z + 2*v + a, 0 = -v for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10575 by 5.\nAnswer: 2115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 2*k**2 + 10*k + 9. Let m be z(-6). Let o = 1314 + -756. Suppose 2*w - o + 222 = 0. What is the highest common divisor of m and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4514.\nAnswer: 2, 37, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-180)\/105)\/(4\/(-14)). Suppose -l*r + 34 = 10. Suppose -17 = -2*w - w - 5*c, 37 = 5*w + 4*c. Solve s - r*s + w = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 266647\nAnswer: 106658.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 6533057 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a**2 + 11*a + 7. Let m be d(6). Solve -m = g - 0*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 - -10 - (6 + -12)*-1. Is 12 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/11, -5, -17\/15, 0, 2\/13, 83, 1?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 4:24 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 33 - n**4 + 3*n + 12*n**4 + 2*n**3 - 36 + 0*n**3 + 4*n**4 in the form p*n**2 + a*n**3 + x + h*n**4 + i*n and give h.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 110268 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z + 2. Let q(p) = 17*p - 9. What is 2*q(r) + 9*s(r)?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*f**2 + 19*f - 27*f - 18 + 18 as u + c*f + i*f**2 and give c.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.155 - -18.445. Let b = -18.599004 + j. Round b to four decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in seconds?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or -102?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qnzi when four letters picked without replacement from {z: 1, t: 2, b: 1, i: 1, n: 1, q: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 + 6*x**2 + 14*x + 22. Let r be q(8). Suppose 4*z - 2571 = -3*u, -2*z - r*u + 3*u = -1293. List the prime factors of z.\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 0*c = -4*c - 13, p - c = -3 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**20 assuming s is positive.\nAnswer: s**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -94 + 94 - 18*l**4 + (67*l**2 - 67*l**2 - 5*l**3)*(2 - 2 - 2*l) to the form g + t*l**4 + q*l**2 + z*l + m*l**3 and give t.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421*w - 150*w - 149*w - 142*w.\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 5*n - 45, -20*f = -5*n - 17*f + 5. Suppose -4*t + 24 = n. Suppose g = -2*g + 6. Solve 4*d - 3*b - 3 = -g, -t*d = -5*b - 5 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 60*l**2 + 237*l + 7011. Calculate y(-62).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2491 + 350?\nAnswer: -2141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*v = -5*v + 64. Suppose v*b + 1452 = 5*y, 0 = y - 3*y + 8. Is 44 a factor of (b*(-6)\/6)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**2 + 164*g - 164*g + (-2*g + 2*g**2 + 2*g)*(4 - 1 + 1) - g**2 + 3*g**2 + 0*g**2.\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-63)\/18)\/((-539)\/(-770)))\/((-10)\/78)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3, -51\/2, 0.388 in ascending order.\nAnswer: -51\/2, -3, 0.388, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 11 = -2*g. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 79\/75 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 at least 418\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 5323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 100 + -98. Suppose k*z = -10, -3*z = -b + z + 57. Calculate the remainder when b is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - 24?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 41*u - 2. Let o be x(1). Let a = o + -37. What is the second derivative of 2 + 15*c - a + 4*c**2 - 11*c wrt c?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176109643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29777800?\nAnswer: 2, 5, 13, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1*4\/(-12*1)*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -108\/31 > -2\/63?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 8:55 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 56\/(-2)*(-1)\/4. Let g(o) = o**3 - 6*o**2 + 7*o. Let x be g(6). Suppose 0*y + x = 2*y. Calculate the highest common factor of d and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s. Suppose -b - 20*t + 8 = -19*t, 2*t + 34 = 3*b. Let j(z) be the third derivative of -z**4\/4 - 433*z**2. What is b*m(i) - 3*j(i)?\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 2, -2, 1\/5, 0.03?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1152 + 194?\nAnswer: -c8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 18 = 3*z, -283*v + 59 = -145*v - 141*v - 10*z for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*h - h + 2*h)*(-2*h + 3*h - 5*h) + 4*h**2 + 7*h**2 + 7*h**2 to the form g*h + m + y*h**2 and give y.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15 + -36. Let q = -8 - t. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 829287 * -0.3\nAnswer: -248786.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7262, -14524, -21786, -29048?\n\"Answer: -7262*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -64, -113, -202, -337, -524, -769?\n\"Answer: -d**3 - 14*d**2 - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002614504 to 6 decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607*t - 12039 + 3541 = 0 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 189220658 to the nearest integer?\nAnswer: 13756","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 855*g - 863*g - 5*y - 273 = 0, 0*y + y = -4*g + 2*y + 77 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1247, 3, -4, -37835 in ascending order.\nAnswer: -37835, -1247, -4, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 9*s = 0, 0*u - 176 = -u + 3*s. Calculate the smallest common multiple of u and 220.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12 = -3*w, -2*w + 4*w = 5*s - 11. Let j(b) = b**2 + 8*b + 8. Let z be j(-6). Are z and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -497 = 15*y - 1217. Suppose 129 = 3*c + y. What is the remainder when 132 is divided by c?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -707*a + 710*a - 4*n - 601622 = 0, -2*n + 200524 = a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 16 + 4 = 0. Suppose 2*i = -6, -20 = -4*f - i + o*i. Let a(m) = -3*m + 95. Let v be a(30). Solve -v*t + f = -8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**5\/11 + 94*l**4\/11 + 214*l**3\/11 - 878*l**2\/11 - 212*l\/11 + 784\/11 = 0.\nAnswer: -4, -1, 1, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 10) + 12\/(-8)*-2. Let i(r) = r**2 + 4*r - 30. Let f be i(l). What is the second derivative of -39 - 10*m + f*m**3 + 39 wrt m?\nAnswer: 90*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 85*j**3 + 53*j**4 - 16*j**4 + 15*j - 17*j**4 + 80*j**2 = 0.\nAnswer: -3, -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 6. Let f = 1 - h. Let j(y) = -4*y**2 + f*y**2 + 2*y**2. Let l(t) = -t**2. Give l(j(v)).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -4*v - 3. Let g(l) = 49*l + 35. Let k = -1 - 2. Let s(m) = k*g(m) - 35*w(m). Let r(d) = d. What is r(s(x))?\nAnswer: -7*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3105, 2376, 1647?\nAnswer: 918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1301 + 3?\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1768081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -2\/7 (b) 0.4 (c) -3\/2 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 + -41. Suppose -r*s - 18 = -0. Is -6 not equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 6 + a**2 + 89*a - 11*a**3 + 21*a**2 + 22. Let y(j) = -4*j**3 + 7*j**2 + 30*j + 9. Let g(z) = 3*o(z) - 8*y(z). Is 8 a factor of g(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21 * -272.\nAnswer: 5712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in 2, -1, -46, 0.7, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -15. Let j(n) = 11*n**3 + 4*n**2 - 9*n + 3. Let i(q) = 6*q**3 + 2*q**2 - 5*q + 2. Let f(y) = 7*i(y) - 4*j(y). What is f(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -t**6\/120 + 7*t**5\/60 - 5*t**4\/24 - t**3 - t**2. Let c = -9 - -14. Is w(c) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-1))\/(4\/(-160)*-4). Solve -5*f - l = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/2))**(-11\/8))**(-2\/5))**39 assuming b is positive.\nAnswer: b**(-429\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -128 (base 10) to base 12.\nAnswer: -a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.85 + 9.4439. Round l to two decimal places.\nAnswer: 0.59","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 392, 789, 1186, 1583, 1980?\nAnswer: 2377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3*z + 16 = 0, 0*z + 3*z = -4*q - 8 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.17 - 1.19. Let p = -0.01 + j. Round p to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 46987 = 6787. Let v = l + -1083. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 456146 is divided by 987.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 203.009805 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2281977 and 0.4.\nAnswer: 912790.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4590519547?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-18 - (-9 + -4)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) - 1*sqrt(5)*4)*5)**2.\nAnswer: 1125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 + 493. Let n = v + -390. What is the biggest value in 4, n, -1\/3, -26?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**22)\/s*s*s*s\/s**(-4)*s\/((s\/s**22)\/s)*((s**0\/s*s)\/s)\/s)**(-36) assuming s is positive.\nAnswer: s**(-1800)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26000.3 - 26000.3000130057. What is v rounded to six decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 3*a - 27, -p + 4*a + 24 = 2*a. Find the second derivative of 11*m**2 + 48*m - 93*m - p*m**2 - m**4 - 155*m wrt m.\nAnswer: -12*m**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37\/40, 0.1, 0.5 in increasing order.\nAnswer: -37\/40, 0.1, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127 + -68. Let p = 59 - u. What is the closest to p in 4, 2\/11, 3\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3416, 6769, 10122, 13475?\nAnswer: 16828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 91 and 208?\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1224 divided by -17?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 + 2)*(-2 + 7). Let s(c) = -l + 0*c**3 + 11 + c**2 + c**3 - 2*c**2. Is s(0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 0*x + 63 - 3\/2*x**2 + 1\/3*x**3. What is p in r(p) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1063 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3587144.\nAnswer: 2, 11, 40763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m - 184 - 278 = 0. What is the highest common divisor of m and 671?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 8*q**2 + 8*q + 13. Suppose -10*i - 30 = -13*i. Is z(i) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 9) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4649058241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1 - r**2 - 1. Let x(n) = -644*n**2 - 924. Let m(t) = -25*t**2 - 36. Let y(o) = 154*m(o) - 6*x(o). Determine q(y(v)).\nAnswer: -196*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.7, 35\/2, -1, -50, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + u. Let c be s(0). Solve 0 = -5*y - c*y + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -7. Sort p, -5, 0.\nAnswer: p, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1)\/t)**14*(t*t**(-1\/4))\/(t**13*t))**(-50) assuming t is positive.\nAnswer: t**(4125\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -4*q + 9, -3*q + 0 = s - 8. Is s != -11\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31314 + 400606?\nAnswer: 336262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 389*f**2 - 56*f - 56. Give c(-1).\nAnswer: 389","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 - 2 - (8 + 16 + -1).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*c + 26 = 418*c - 0*f + 3*f, -5*c + 51*f = 769 - 75 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -36584 - -101?\nAnswer: -36483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 12.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -0*c - c. Suppose -4*x = -i - 46, -c = -2*x + 2*i + 3*i. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -63434777, -63434776, -63434775?\nAnswer: -63434774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**2\/11 - 79107*r\/11 - 237312\/11 = 0.\nAnswer: -79104, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3\/5 + 23*r**2\/5 - 10*r = 0.\nAnswer: -25, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 3:42 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -6*d - 1. Let u = -86 + 78. Sort d, 1, -4, u in descending order.\nAnswer: 1, d, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**2)**17*v**(-1\/16)\/v**(-9) assuming v is positive.\nAnswer: v**(687\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0040503518 to 4 dps.\nAnswer: -0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 10, -3\/296, 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4 = -5*z - 29, 0 = 2*u - 3*z - 35. Suppose -33 + 147 = u*j. What is the smallest common multiple of 20 and j?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2260, 9008, 20252, 35992, 56228, 80960, 110188?\n\"Answer: 2248*x**2 + 4*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-25)*v\/v**(-24) assuming v is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13049 and 14.\nAnswer: 182686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -154*s - 2295 + 2295 + (-2*s + 0*s + 0*s)*(3 + 1 - 6 + (1 - 2 + 3)*(-3 + 1 + 1) - 4 + 5 - 3).\nAnswer: -142*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 652\/20771?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1113, -495, 527, 1947, 3759?\n\"Answer: -k**3 + 208*k**2 + k - 1321","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of 4*o**3\/3 - o**2 + 3*o. Let a be u(-2). What are the prime factors of ((-4)\/3)\/(6\/a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2962947673 to the power of 1\/2, to the nearest integer?\nAnswer: 54433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1606 is divided by 59?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**4\/2 + i. Let s(t) be the first derivative of -t**2\/2 + 10. Determine s(w(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*v**3 + 14*v**3 + v**3 + 19*v**3.\nAnswer: 34*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1659 = -9*a - 5079. Is (a\/30)\/((-4)\/6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32029?\nAnswer: 32029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 41*o**2 - 144*o + 118. Let s(a) = -a**3 - 84*a**2 + 298*a - 237. Let j(z) = 5*l(z) + 2*s(z). What is m in j(m) = 0?\nAnswer: 2, 29\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1)\/((-2)\/8))\/2. Solve 3*r - x = -t + 11, 5*t + 25 = 3*r for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.184 + 0.184. What is the fourth biggest value in x, -11\/5, 0.1, 6, -0.5?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 114*h**2 - 321*h + 31. Determine s(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 1:59 PM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-788631)\/210 + ((-12)\/15)\/2. Let q = -3752 - f. Calculate the common denominator of 47\/18 and q.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34047 and 204633.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2412868, -4825912, -7238956, -9652000?\n\"Answer: -2413044*y + 176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 28*d - 1559 - 1297. What is the remainder when 915 is divided by d?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10886 is divided by 222.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1871 a factor of 478347344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-220)*3*(-15)\/(-9)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(42\/8 - 5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-20)*1)\/(18\/(-24))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - 6. Let x = r - 23. Let m = 32.9999949 + x. Round m to six decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p + 10*p - p + (4 - 4 + 1)*(0 + 2 - 4)*(p + 4*p - 3*p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 532*q - 16569. Give x(31).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of -x**5 - 85*x**3\/3 - 683*x + 1251. What is the first derivative of b(o) wrt o?\nAnswer: -20*o**3 - 170*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14813648 and -112?\nAnswer: 14813536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*v**2 + 116*v**2 + 71*v**2.\nAnswer: 122*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 + -19. What is the least common multiple of 14 and j\/10*30\/(-9)?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + (40901 - (3 + -1)). Let z(k) = 161296*k - 5 - g*k + 17 + 199605*k. Let r be z(-12). Round r to the nearest 100000.\nAnswer: -3800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 54, 1, 5 in increasing order.\nAnswer: 1, 5, 6, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/3 - (-2)\/6. Let h = -1 - w. Calculate the remainder when 10 is divided by h.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1\/13))\/((i*i\/(i*i**6))\/i))\/(i**1*i*i)**(-1\/2)*(i**(-2\/7))**26\/((i\/(i\/i**(6\/11)))\/(i*(i*i**(-4\/3)\/i)\/i)) assuming i is positive.\nAnswer: i**(-5311\/6006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -11*p + 8. Let h(o) = -1. Give f(k) + 3*h(k).\nAnswer: -11*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1461, -2963, -4453, -5919, -7349?\nAnswer: -8731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 417\/973 - (-2343)\/(-77)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -5*d + 2*d + j, 4*d = 2*j + 72. Let y = d - 18. Solve 1 + s + 1\/4*s**y = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1664)\/(-4784))\/((-350)\/(-575)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5 + sqrt(33)\/(6*sqrt(33)\/sqrt(3))))**2.\nAnswer: 80*sqrt(3)\/3 + 1204\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20915350301 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 - 16*t + 6. Let w be o(16). Suppose 3*f = -b + w*f + 164, 0 = 2*b - 5*f - 327. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 - 2 + 3*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 - g**2. Let d be q(-1). Let o = 7 - 30. Let b = 23 + o. What is the second smallest value in -0.5, b, d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-80)\/(-64)*4).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 1:25 AM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8 - -5) + (-130)\/10. Solve -10*b = -2*v - 8*b + 6, j = v + 2*b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*w - 65 + 83 - w - 62 + 44.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -21*p - 6\/5*p**5 + 0*p**4 + 0*p**2 + 0*p**3 + 9. Find the first derivative of b(z) wrt z.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72\/5 of a millimeter in micrometers?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3 + 742499*j**2 + 2238963*j wrt j.\nAnswer: 12*j + 1484998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/85?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of -l**3\/3 - 3*l**2 - 3*l - 3. Let m be j(-2). Suppose -5*p + 5*u - 2*u = -13, 3*u - m = -4*p. Which is greater: p or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*n**4 + 1251699*n**3 + 1107765*n wrt n?\nAnswer: -24*n**2 + 7510194*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3096+-0.2\nAnswer: -0.5096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 3*p**2)*(-4*p**2 + 4*p**2 - 2*p**2)*(911 + 2414 + 6264) to o*p**2 + g*p**4 + u + k*p**3 + x*p and give g.\nAnswer: -57534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeyeeye. Give prob of sequence yey.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1272 - 35*l**2 - 1272 + 68*l**2.\nAnswer: 33*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 347412 and 39780.\nAnswer: 5211180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 2*n**2. Let t(i) be the first derivative of -37*i**2\/2 - 3. What is r(t(j))?\nAnswer: 2738*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -1\/11073682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-192)*(-40)\/(-45)*-3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + -1. Suppose -444 = -242*d + 524. Solve 4*l = -4*g, 0 = -d*g + 4*l - u - 16 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 5*d**2 - 5*d + 8. Determine n(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, m: 5, h: 2}. Give prob of picking 2 z.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 60, 117, 174, 231?\n\"Answer: 57*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 12.52183cm?\nAnswer: 125218300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/4)\/((-27)\/36*8).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 707180.\nAnswer: -3\/707180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/21653350 and -55\/6937?\nAnswer: 151573450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -500, -1040, -1620, -2240, -2900, -3600?\nAnswer: -4340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 7, 57509, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 116 + -235\/2. Which is the smallest value? (a) m (b) 3 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-8)\/(-36) + (-1)\/(-15). Which is the third biggest value? (a) w (b) -3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and (4\/((-16)\/6))\/(3\/(-24))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 469046 to the power of 1\/2, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-32)\/(-80) + 6\/(-15). Let s(f) be the first derivative of -6*f + 0*f**3 - 3 + 0*f**2 - 8\/5*f**5 + u*f**4. What is the derivative of s(t) wrt t?\nAnswer: -32*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yv when two letters picked without replacement from llccylcccycvcllcvlc?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*b - 28 = -6*b, 5*j - 3*b - 27 = 0. Let i = -8 - -10. Suppose i*x + 3*x = 65. What is the smallest common multiple of j and x?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -336, -673, -1010, -1347?\nAnswer: -1684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/(-15))\/(2\/5). Let y(v) = v. Let l(k) = -k - 17. Let r(o) = l(o) + 6*y(o). Let d be r(c). Solve -d*h - 2 - 13 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(71\/((-6745)\/(-114)))?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 12\/5*b**2 - 2 + 9\/10*b**4 - 20\/9*b**3 - 16\/15*b - 2\/15*b**5. Solve w(k) = 0 for k.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -103a3 - 131b?\nAnswer: -116c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**3 + 134*f**2 + 4*f + 22?\nAnswer: -12*f + 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70415 - 14660 - 13634 = 2390*v + 23181 for v.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) 18 (c) 102 (d) -10 (e) -1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x\/x**22)*x**(-5)\/x*x assuming x is positive.\nAnswer: x**16","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 h when four letters picked without replacement from vhhhwlvvhh?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40 + 18. What is the highest common factor of 87 and z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z + 10. Suppose -3*b = 2*g + 184 - 218, -4*b = -5*g + 16. Determine u(g).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144 = -94*n + 112*n. Solve n*b + 4 = -4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.427 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 4)*(0*w - 3*w + 5*w + (1 + 1 - 3)*(-w + 5 - 5) - 3 + 5*w + 3) + (2 + w - 2)*(5 - 2 - 5) to h*w + a and give h.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 6*c + 5. Let x be w(6). Suppose 6*d - 3 = x*d. Suppose -d*n = 2*n - 730000. What is n rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*t + 10*t**2 - 30*t + 2*t**3 + 15*t + 15*t**2 to the form i*t**2 + j*t**3 + c + n*t and give i.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (-3 + (-4 - -2)). Suppose -w*o + 2*h = -12, -4*o + 2*h + 4 = -2*h. Let s(r) = -3*r - 3*r**2 + r**3 + 7 + 0*r - r**2 - 4*r. Calculate s(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qo when two letters picked without replacement from {z: 3, q: 2, u: 9, y: 1, o: 2}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 4*o = 14 + 3, 0 = 3*z + 3*o - 18. Suppose 4*s + 5 = 3*q - z, 12 = 4*q - 4*s. What is the tens digit of 63\/q + 2\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*b = 0, -2*m = 3*b + 5 - 2. Suppose -m*k + 2*k - 4*p = 26, -2 = p. What is the remainder when (k\/24)\/((-3)\/84) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 - 0.2. Let b = -6 - -5.73. Let w = b - -0.37. Are w and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 484 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 6*d**2 + 3*d - 6. Let i be s(-5). Solve a + 1 = -2*c - 2, i*a = -c + 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 290636404?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 373, 1572, 3751, 6910, 11049, 16168?\n\"Answer: 490*z**2 - 271*z + 154","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -4*q - 33512, -6712 = -k + 7*q - 11*q. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of 0*w - 7\/6*w**3 + 0 + 1\/6*w**4 - 2*w**2. Does 7 divide b(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(3) - (-1 + sqrt(12))).\nAnswer: -2 + 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3 + 1006*k**2 - 11928*k.\nAnswer: -k*(k - 994)*(k - 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 9.903.\nAnswer: 3.9612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26977?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 127*w**3 + 7*w. Let p(a) = 63*a**3 + 4*a. What is 3*i(z) - 5*p(z)?\nAnswer: 66*z**3 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 589477 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -92140736 divided by 4?\nAnswer: -23035184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of 0*z**3 - 13*z + 0 + 5\/12*z**4 + 0*z**2. Let w(v) = v**2. Calculate c(w(a)).\nAnswer: 5*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -212*d + 3 - 10 = -7. Solve f + 4*y = y - 1, d = -4*f - y - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -144 - 146 - 557*h**2 - 148 + 549*h**2 + 440.\nAnswer: -8*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 - 162. Sort i, -5, -4 in decreasing order.\nAnswer: -4, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, l: 3, n: 5, p: 7}. What is prob of picking 1 l, 1 n, and 1 p?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15\/7 + -23\/14. Let i = 77 - 83. Let a = 1.28 + -1.78. What is the second smallest value in a, i, 1\/3, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3784 - -4229. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5\/3))**(1\/8)*(l\/(l\/(l\/(l\/(l*l**(-33))))*l)*l)\/l**(-25) assuming l is positive.\nAnswer: l**(-173\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3ecef6 - -4?\nAnswer: -3ecef2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -323*(348\/(-68) - -5). Calculate the greatest common factor of s and 950.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42770)\/(-376) - ((-26)\/8 + (2 - 0)). Suppose 3*x + 3 = 4*x. Let g = f + x. Is g a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -60, -65, -72, -81, -92?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/4 != 91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(1 - (-6)\/(-8)). Let b = -7.4 - 0.6. Let u = b + 3. What is the closest to -2 in u, q, 2\/3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -14 = -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2*sqrt(136)*2 - (sqrt(136) - (sqrt(136) + (sqrt(136) - (5*-1*sqrt(136) - sqrt(136))) - sqrt(136))))\/(sqrt(800)*2*-6*6).\nAnswer: -sqrt(17)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*h = 2, -5*y - 3*h = -82 + 100. Sort 0, 7, y, -5, 1.\nAnswer: -5, y, 0, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.039 in 211, -1\/3, -0.03, -55?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 + n + 1. Let i be o(-4). Let m = -9 + i. What is the greatest common factor of 16 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2. Let q(d) = 6*d**3 + 91*d**2 + 14*d + 3. Let j be q(-15). Let a(n) = 10*n - 3*n - 9*n + 68 - j. Determine p(a(w)).\nAnswer: 4*w**2 - 200*w + 2500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of -1\/3*b**4 + 1\/60*b**5 + 0 + 0*b + 5\/6*b**3 - 3*b**2. Give x(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74448 or -877?\nAnswer: -877","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -16759718 <= -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3*11\/(-3) - 3. Let c = 3 + z. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a - 1. Suppose -4*x = -9*x. Suppose x = 4*r - 49 - 3. Let c = r + -11. Give d(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**2 - 2*n**2 + n**2 + (0 + 0 - 4*n)*(134*n + 345*n + 108*n) to the form r*n + o*n**2 + y and give o.\nAnswer: -2349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 + -99. Calculate the remainder when q is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000013077281 rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5*5*(-10)\/(-125). What is the common denominator of (-150)\/(-4)*2\/36 and f\/(((-12)\/(-285))\/1)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-196)\/588)\/((-2)\/(-36)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from {g: 5, q: 13}.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -548208 - 0.02?\nAnswer: -548208.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -454932623 rounded to the nearest 1000000?\nAnswer: -455000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 704706771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -2 (c) -5 (d) 379 (e) 2.84\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 22053?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62, -63, -64, -65, -66, -67?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 3108516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 68*m**3 - 2*m**2 - 2. Let b(n) = 5168*n**3 - 153*n**2 - 153. Determine 2*b(i) - 153*q(i).\nAnswer: -68*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 - (110 - 42) - (7 - 0)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (4 + -8))\/((-1)\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*p + 9*p + 8 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 1 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, a: 5, h: 8}. Give prob of picking 1 h and 1 n.\nAnswer: 40\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*g = -4. Suppose 5*r = -g*z + 20, 3*r + 20 = 7*z - 3*z. Suppose -z*t + 2 = -33. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 3*j - 4, -7*n + 20 = -5*n - 3*j. Suppose -n*i = -2*a + 3*a - 272, 4*a - 1108 = 4*i. What are the prime factors of a?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-230 - -100) + 49 + 189.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(10\/9)\/(s\/s**(1\/10)) assuming s is positive.\nAnswer: s**(19\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 2\/5*t**2 - 2\/5 - 2\/5*t**3 + 2\/5*t = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 621169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3, 0 = -q - w + 6*w - 5. Let a = q + 2. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1363814 a multiple of 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/(h**(13\/3)*h)*h)\/h**(-10))**(7\/4) assuming h is positive.\nAnswer: h**(91\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 75009 = 3*g - 2*z, 3*g - 74985 = -5*z. What is g rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = -2906 + 48512. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*h**4 - 30*h**2 - 715*h wrt h?\nAnswer: -72*h**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -92, -69, -16, 79, 228, 443, 736, 1119?\nAnswer: 1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 9*g + 1. Suppose -4*q = 15 + 25. Let l be a(q). Calculate the highest common factor of 55 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -v + 1. Let s(o) = -o**2 + 3*o. Let n be -3 + -2 - (-4)\/2. Let t(l) be the first derivative of -l**3\/3 + 2*l**2 - 1. Give n*t(u) + v*s(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31.706 and 0.08679.\nAnswer: 2.75176374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3*k = 0. Suppose -4*q + k*q + 336 = 0. Suppose 3*r = 7*r - q. Solve -5 = -4*v - r for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10661 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n + 3*n - 4*n - 2)*(2 + 3 - 6 + (0 - 3 + 2)*(1 + 1 - 1) + 0 - 1 + 4).\nAnswer: 4*n - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 606624207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 + 4*i**3 + 102*i - 102*i with respect to i.\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8139, -8116, -8047, -7908, -7675, -7324, -6831, -6172?\nAnswer: -5323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, f: 1, n: 9, y: 2}. Give prob of sequence nuyn.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3*(-2)\/6 - -3. Suppose -8*f + 8 = -n*f. Let j(i) = 2*i**2 + 3*i**2 - 6*i**2 + 2*i**f. Let y(m) = 5*m. Calculate j(y(s)).\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -61\/6 (b) 2\/17 (c) 4 (d) 2\/9 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i - 2*i)*(-2 + 0 + 1) - 35 + 16 + 20 + 27*i.\nAnswer: 30*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-2)\/4 + (13114\/4 - (-4 - 6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32472\/13 greater than or equal to 120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l + l + 2*l**2 + (-4*l**2 + 0*l**2 + 5*l**2)*(-3 - 2 + 2) + 18*l**2 - 2*l + 5*l**2 + 0*l.\nAnswer: 22*l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3506421?\nAnswer: 3, 109, 10723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*u = -5*u - 36. Suppose u*g - 4*p = 10, -4*g - 3*p = -2 + 15. Sort -5, -133, g, 0 in descending order.\nAnswer: 0, g, -5, -133","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.03357 and -0.764.\nAnswer: -0.02564748","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 16\/5)\/((-1)\/(-125))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 119.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -10. Suppose -f - m*f = 10. Is f smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88, 151, 210, 265, 316, 363, 406?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 18177378, -3, 3 in descending order.\nAnswer: 18177378, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28692 + -8443. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2233 and -0.14?\nAnswer: 0.031262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -3 + (-1 - (-1 - (-54)\/(-21))). Which is the biggest value? (a) v (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-12))**(-1)*(v**(-1\/12))**(2\/51) assuming v is positive.\nAnswer: v**(3059\/306)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-6 + 7 + -4 + 6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/(-38))\/((-274)\/(-5206))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes before 6:17 PM?\nAnswer: 6:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 2208953?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 4 - 4 + (3 - 1 - 1)*(0 + 0 + 2*g) - 4 + 4 - 3*g.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -199, 4, -1012 in ascending order.\nAnswer: -1012, -199, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 a when three letters picked without replacement from yayaay?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31200 - -130?\nAnswer: 31330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -26?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5*k - 100. Let q be y(-14). Suppose -5*b = -3*g + 940, 5*g + 5*b = 1931 - 351. Let f = g + q. What are the prime factors of f?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrrrrrr. Give prob of sequence rr.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cdn when three letters picked without replacement from eecsehhdhnhddds.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1763686 is divided by 1032.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + -16. Let g = 8.9 + -15.3. Let n = g - l. Does n = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 648 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-2))\/(15\/90*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*b - 3 + 39 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 25 = 0, -204 = -2*o - 15*s + 11*s. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 338 - -357. Is b a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 2. Let z(s) = 18*s**2 - 1. Let h be z(y). Let u = -10 + h. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/(-18))\/(4\/(-42)). Let h = n - -2. Let c(u) = 2*u + 5. Is 3 a factor of c(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 AM and 8:27 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111 + 731 = -10*d. Suppose -2*w = -69 - 59. Let f = w + d. Solve -2*p + 3*l = 5, -f*p - 11 = -0*l + 3*l for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(10)*1))\/(4*(sqrt(4)*-1 - sqrt(4))).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, x: 1, n: 1, l: 1, i: 2, a: 2}. Give prob of sequence la.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-952)\/102*(1 - 13\/7). Solve 23*w = 19*w + a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96382 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 38, 75, 108, 137, 162, 183?\n\"Answer: -2*d**2 + 43*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 71806.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -311430 divided by -20762.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 s when two letters picked without replacement from nblppnsbpsppbnnllp.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 204 + 1365. Let n be (-1 - 2)\/(45\/(-75)). Suppose 5*o = -n*b - 5656 + y, 2*o - 5*b + 1805 = 0. Round o to the nearest one hundred.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16306101?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 18a229 (base 11) in base 15?\nAnswer: 5b6ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j + j + (2 - 2 - 2)*(-j - j + 0*j) + 4*j - 2*j - j - j + 2*j - 3*j + (0 + 0 - j)*(-1 - 2 + 4))*(43*j**4 - 39*j**4 + 89*j**4).\nAnswer: 279*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 23*x**2 + 1. Let w be t(-23). Is (-2)\/((-2)\/1) - (w - 3221) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47652917317 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/(-2)*(16\/72)\/((-6)\/18)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 a when two letters picked without replacement from uujduudjjujajjjj.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 6*k + 11. Let h be v(-8). Let w be (h\/(-3) - 2)*-12. Suppose q - 2*l - 4 = 0, 3*q - 12 = -l - w*l. Sort 2, 3, q.\nAnswer: 2, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -438, -1774, -4026, -7194, -11278, -16278, -22194?\n\"Answer: -458*o**2 + 38*o - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 3*c = 73, 3*z + z = 2*c - 342. Let s = z - -182. Suppose 0 = 4*m - 2*m - s. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 15?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + 14*j - 6*j + 5*j.\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 11781240 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*u**2 - 3*u - 11*u + 7*u**2 - 26 + 14*u**3 + 15*u to the form p*u**2 + n*u**3 + b + w*u and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (26\/2 - 0) + 1 + 2. Suppose -s*l = -19*l + 108. What is the remainder when l is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3163771645.\nAnswer: 5, 22811, 27739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -237 - -239. Let r be 0*((-6)\/4)\/(-3). What is the nearest to r in 1, -1\/4, x?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 113, 162, 199, 218, 213, 178?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2495 = -8*p + 92*p - 4483 - 4984 for p.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 222914577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 - 11 = a + 4*a + 9*w + 54, -a - w - 4 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 2. Let r(g) = 2*g + 2. Let a(u) = -2*r(u) + 2*s(u). Let o(p) = 19*p**2. Calculate o(a(d)).\nAnswer: 76*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2\/7 - 1370*s\/7 + 135600\/7.\nAnswer: 2*(s - 565)*(s - 120)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4089 + -4089. Solve n = 15*m + 53 + 37 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4 - 3889048*v**3 + 1890579015176*v**2 + 7562362729344*v + 7562378285568.\nAnswer: 2*(v - 972264)**2*(v + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dyyyyddyyyyydgddyy. What is prob of picking 3 d?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 3*p - 3*p)*(-1 - 1 + 4)*(-11 + 11 - 8*p**3) + (2*p**3 - 3*p**3 - 3*p**3)*(0*p + 0*p + p).\nAnswer: 12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 180*i - 88 + 94 - 455*i + 3333*i**4 wrt i?\nAnswer: 39996*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 17 = -3*b + 3*x, 0 = 4*b + 3*x. Let c(i) = -5 - 5 - 4 + i + b. Give c(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124 + -3940?\nAnswer: -4064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 8 + 2 + 7 + (-12 - -5)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**4 - 3*d**4 - 101*d**3 + 7*d**4 + 1 + 52*d**2 + 103*d**3 to w + n*d**3 + z*d**4 + y*d**2 + v*d and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 2:56 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 7*y - 6. Let k be 5\/(-2)*(-6 + 4). Suppose 1 = -k*q - 24. Let m be z(q). Solve u = -m*u + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -13*h**2 - 2. Let f(l) = -6 - 150*l**2 - 59*l**2 - 27. Calculate 33*a(i) - 2*f(i).\nAnswer: -11*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6076970 to the nearest 10000.\nAnswer: 6080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + u + 19, -3*d - 5*u = -3 + 14. Suppose -d*r - 11 = -2*l, 7 = 4*r - l + 20. What is the tens digit of r\/((18\/60)\/((-43)\/5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the third derivative of j**4\/4 + 3*j**3\/2 - j**2 - j. Let l(o) = -12*o**2. What is z(l(p))?\nAnswer: -72*p**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 4*v**4 + 50*v**3 + 70*v**2 + 48*v + 6. Let a(h) = 4*h**4 + 47*h**3 + 71*h**2 + 48*h + 5. Let p(l) = -6*a(l) + 5*n(l). Factor p(r).\nAnswer: -4*r*(r + 1)*(r + 3)*(r + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 6*y = -172, -257*o + 251*o - 84 = -2*y for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-5 - (-1 + 0)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -580 (b) 2 (c) -1\/7 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h**2 + 11*h - 2. Let i(v) = 30*v**2 - 54*v + 12. Give 2*i(s) + 11*p(s).\nAnswer: -6*s**2 + 13*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -50177364 divided by -6?\nAnswer: 8362894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80569 + 246041. Suppose v - b - 41363 = 0, -b = 4*v - 0*b - o. Suppose -q = 24633 + v. Round q to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3275 and 260559.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 15 = -3. Suppose -2*h - 8 - 4 = 0. Let c be (0 + h)\/(s\/(-2)). What is c rounded to 0 decimal places?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qxqvxxxqv. Give prob of picking 3 x and 1 q.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 + 14*m**3 - 20400542*m + 20400542*m + m**2 - 3.\nAnswer: 14*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -43, -17, 27, 89, 169?\n\"Answer: 9*w**2 - w - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3658719586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4020 - -4356. What is the remainder when c is divided by 186?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -174 - -174.00809. What is s rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.36 plus -1119.494091877?\nAnswer: -1119.854091877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -87 + 2?\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003194974719 to four dps.\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-17)\/51 + (-203)\/3. Let t be (-36)\/8*i\/6. Suppose 6*z - 225 - t = 0. Calculate the greatest common factor of z and 115.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64, 1\/12, -88, 2, -4\/7 in descending order.\nAnswer: 64, 2, 1\/12, -4\/7, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -1395.1608 to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 5*h**2 - 4*h + 4. Let z be t(4). Suppose -19 + 7 = 4*f. Let p be (f\/12)\/((-4)\/6). What is the second smallest value in p, z, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 - 38. Put 3, -5, 5, s in decreasing order.\nAnswer: 5, 3, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 + -46. Does 7 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, n: 1, l: 2, u: 2}. What is prob of sequence lnl?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4\/21))**(-8\/11)*(s*s*s**(-1\/20)*s)**9 assuming s is positive.\nAnswer: s**(123301\/4620)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 19714.69 years in millennia?\nAnswer: 19.71469","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*k - 6. Let r(a) = k - 6 - 3*a + 2*a. Calculate r(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16 and 1136?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (33 + -4)\/((-4)\/(-8)). Let c = -73 + q. Let g = -2 + 2. Put g, 1, c in decreasing order.\nAnswer: 1, g, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/4)\/((v**(2\/33)\/v)\/v))**(-5\/3)*v**(-6)*v*v**(-1)*(v**(-2\/25)*v*v)\/v**(2\/9) assuming v is positive.\nAnswer: v**(-6913\/1100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -2*h**2 + 966*h - 12220 = 0.\nAnswer: 13, 470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 585*k - 484*k - 16 + 60 + 32 to i + z*k and give z.\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -133323, -133315, -133295, -133257, -133195, -133103?\nAnswer: -132975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 47360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207617?\nAnswer: 191, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6 - 0)*(-1)\/2. Suppose -16 = -j*z + 143. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + 4. Suppose -5*l - 22 = -2*m + 4, 4*m + 4*l + 4 = 0. Solve -2*z = -m*z + r for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p + 5*k + 13 + 42, 102*p - 214*p - 9 = -110*p + k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 1. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3707\/8 + 461. Calculate the common denominator of c and -27\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-12) - (-10)\/(-3). Let x = 3 + q. Is 1 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 - -58. What is the remainder when w is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from ozozozxxo?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -38. Factor -2*a - 2*a**2 + 4 - 243*a**h - 2*a**2 + 245*a**3.\nAnswer: 2*(a - 2)*(a - 1)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 111321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -6*t - 20. Let y be t\/14 - (-2)\/7. Solve 0 = -2*l - 5*h - y*h - 3, 4*l - 6 = 2*h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 - (-1 - -6 - 3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(187)\/(sqrt(99)\/sqrt(576)) + sqrt(17) + (sqrt(2448)*3 - sqrt(17)) + -1.\nAnswer: -1 + 44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.07 (b) 4\/5 (c) 5345 (d) 0.4 (e) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**7\/((b\/(b*b**(-1\/37)))\/b)*(b\/((b\/(b*b**(-5\/7)))\/b*b))**(3\/11) assuming b is positive.\nAnswer: b**(22937\/2849)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -o**5 + 22847393*o**4 - 14*o**2 + 44*o + 42361 wrt o.\nAnswer: -60*o**2 + 548337432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-7 + 1 - (2 + -9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3069\/62 + -47)\/((-1)\/2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -2*b. Suppose b = -12*k + 16*k - 16. Suppose 5*y - 3*y + k*z - 2102 = 0, -z - 5244 = -5*y. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 4095\/2695 + (-20)\/14.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 - 13*p + 75)*(-168 - p**3 - 167 + 332 - 8*p).\nAnswer: 13*p**4 + 104*p**2 + 39*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 3*a - 13, 0*a + 3*a - 23 = 2*t. Let z(p) = p**2 - 6*p - 26. What is the tens digit of z(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*t - 46*t + 8 = 0. Suppose 3*m + 3 = 2*a, 5*m + 0*m - t*a + 5 = 0. Which is greater: -2 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1231284?\nAnswer: 2, 3, 102607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 + 5*i**2 + i + 4. Let t be ((-54)\/(-45))\/((-46)\/20 + 2). Give r(t).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 526, 1043, 1500, 1897, 2234?\n\"Answer: -30*c**2 + 607*c - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = -3*f + 3*x + 156, -25*f - 3*x = -29*f - 142 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 4\/7 of a week?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(198))\/sqrt(11))\/(sqrt(9) - 1*sqrt(36)))**2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -51 + 132. Let y be 368*1 + (-195)\/(-65). Suppose -y = -2*v + i. List the prime factors of v.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**3 + 2*i**2 + 2*i - 12. What is s(2)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55601\/4 or 12\/5?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 119*f**2 + 2*f - 2*f.\nAnswer: -119*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*p**4 - 3*p**2 + 10*p**4 - 14*p**4 + (p - p + 2*p**2)*(-3*p**2 - 4*p**2 + 3*p**2).\nAnswer: 6*p**4 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 7*k**2)*(2*k + 3 - 3) - 2*k + 2*k**3 + 2*k - 2 + 2 + k**3 - 23138 + 23138 - 189*k**3 + (1 - 3 + 3)*(-2*k**3 + 4*k**3 - k**3) + k + 2*k**3 - k.\nAnswer: -169*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -13 - 147. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -204?\nAnswer: -5\/204","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -31441319, -62882637, -94323955, -125765273, -157206591, -188647909?\n\"Answer: -31441318*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0304 - 0.8936. Let s = 1 + u. What is s rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*p - 86*p - 12960 = 0. What are the prime factors of p?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9056373kg in nanograms?\nAnswer: 905637300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2235 and 735?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-21) + 16\/18\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5*(-6)\/120)\/((-7)\/(-2))?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126344?\nAnswer: 2, 17, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 43*l**2 + 12*l + 49. Let q be j(-3). What is the greatest common factor of 50 and q?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqheeejjnjqejeea. What is prob of sequence aqhj?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 609*f*h - h - 4 wrt f.\nAnswer: 609*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2278 and 5?\nAnswer: 11390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*b + 181*b = -63. Solve -2*v - 15 + b = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-131 - (-284 - -31)) + -42\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 156\/104*8\/(-3)*1*-14?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21688903 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 d when four letters picked without replacement from {d: 5, u: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*c**3 - 16*c**3 - 21*c**3.\nAnswer: -11*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -341\/20 - -84\/5. Let s be (-5)\/(-2)*3\/15. What is the smallest value in x, s, 7?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -17, -1, 150, 3.\nAnswer: -17, -5, -1, 3, 150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -28*i**3 + 162*i**2 - 72*i**2 - 50*i**2 wrt i.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -170701, -170681, -170647, -170599, -170537, -170461?\n\"Answer: 7*n**2 - n - 170707","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -s**2\/5 + 82248*s\/5 = 0.\nAnswer: 0, 82248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -23*p**2 + 7*p - 6. Calculate z(2).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 - (-5 - -5) - 2\/(-1). Let k(d) = 13*d. Calculate k(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 15043?\nAnswer: -15036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32*s**4 - 6*s**2 + 2*s - 12345.\nAnswer: -128*s**3 - 12*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 25 + 30. Let w = 9 - z. Suppose 0 = -4*d + 60 - w. What is the highest common divisor of 10 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, -0.2, -2\/27, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4854382830 rounded to the nearest 1000000?\nAnswer: 4854000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -54908 in 1\/2, 0.2, 1\/9?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1757485*i**4 + 1231230 wrt i?\nAnswer: -7029940*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 12*n**3 + 13*n**2 - 6. Let c(u) = 18*u**3 + 19*u**2 - 9. Let p(o) = -8*b(o) + 5*c(o). What is f in p(f) = 0?\nAnswer: -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-14))\/((-39)\/273)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18658 - -2775. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 2*i + 6. Let k(z) = z - 3. Let x(b) = 5*h(b) + 10*k(b). Let s(r) = -25*r. Give s(x(g)).\nAnswer: 125*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -2101?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2073 is divided by 209.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 4*l**3)*(-2*l - 4*l - l).\nAnswer: 28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -32*w + 28*w + 3 + 16*w + (-52 + 20 - 35)*(-w + 5*w - 2*w).\nAnswer: -122*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -14*f - 89. Give c(-7).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + 10. Suppose 0 = -m + 4*i - f, i + 9 = 5*m + 2*i. Let k(w) = -4*w - 20*w**3 + w**2 + 2*w + 16*w**3 + 1. Give k(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -197*g + 199*g + 5*k, 0 = 5*g - 4*k + 15 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11041385 or 2\/9?\nAnswer: -11041385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001336 to six dps.\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -13*m. Let w(b) = 7 - 5 - b + 4. Let z(o) = 2*o - 5. Let r = -133 + 139. Let g(v) = r*z(v) + 5*w(v). Determine 11*g(a) + 6*i(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -4*k**2 + 813*k - 10765. Determine w(189).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -13953, -27837, -41645, -55377, -69033, -82613, -96117?\n\"Answer: 38*h**2 - 13998*h + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -445\/3 - -147. Let v = -409\/8 + 51. Let u be 36\/(-10) - (-1 + -2). Which is the third smallest value? (a) u (b) v (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - 7*u + 8. Let n be z(-5). Let c(i) = -51*i - 44. What is the tens digit of c(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.4 - 1.6. Let h be (-5915)\/14196 - 1\/3. Which is the nearest to h? (a) 5\/3 (b) 2 (c) k (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 9:25 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 + 77?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**3 - 29*y**2 + 76*y - 479. What is l(13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 85. What is the greatest common factor of z and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 149000 to the nearest one thousand.\nAnswer: 149000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -45963751.28 and 0.046.\nAnswer: -45963751.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -5. Let o(b) = 5*b**3 + 6*b**2 + 9*b + 2. Let t(p) = -2*p**3 - 3*p**2 - 4*p - 1. Let d(w) = 3*o(w) + 7*t(w). What is the units digit of d(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qibffvfvfffbaf. What is prob of sequence vvib?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4536709 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -97320134 - 1?\nAnswer: -97320135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the first derivative of 0*j**3 + 0*j**4 + 0*j**2 - 8 - 1\/5*j**5 + 0*j + 1\/6*j**6. Find d, given that u(d) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/1436 and 23\/4?\nAnswer: 1436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 119 and 5593.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4192?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Total of -537473.7 and -28.27848.\nAnswer: -537501.97848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.074022104 to 5 dps.\nAnswer: 0.07402","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 4*s - 13. Let b = -13 - s. Does 24 divide 1*-8*(b + -8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1732631*l**4 + 200618 wrt l.\nAnswer: 6930524*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 96.\nAnswer: -1\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of -i**4\/24 - 5*i**2. What are the prime factors of j(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 446 (base 8) to base 7\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*y**2 - 3 - 1 + 27*y**2 + 0 in the form l*y**2 + b*y + r and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**10*k)**(-6)*k*k*k**13*k*k**(-1) assuming k is positive.\nAnswer: k**63","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 893491 is divided by 97.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771239 is divided by 120.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 5 - 13)*(-5 - 3 + 5)*(70*u + 27*u - 164*u) to the form b*u + d and give b.\nAnswer: -1407","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 2375.9788 to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8280 - 8280.00064225. What is w rounded to 5 decimal places?\nAnswer: -0.00064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2430 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 (base 9) in base 5?\nAnswer: -1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + l + 4*m + 18, -4*l = -3*m - 20 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*g - 67*g + 1070 = 4*u, 0 = u - 4*g - 251. Calculate the remainder when 569 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 2*o**2 + o. Let d(w) = -13*w**3 - 10*w**2 - 5*w + 125. Let z(v) = d(v) + 5*y(v). Find the first derivative of z(u) wrt u.\nAnswer: -54*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6622 - -11181. What are the prime factors of k?\nAnswer: 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 72. Suppose -3*u + g = -7. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9423, -9070, -8113, -6246, -3163, 1442?\nAnswer: 7875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - 6) + 5\/(-5). Let a be (81\/w + 2)*-4. Suppose 0 = 5*g - a - 4. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1483651*c**5 + 455102*c**2 wrt c.\nAnswer: -89019060*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -199, -184, -155, -106, -31, 76, 221?\n\"Answer: o**3 + o**2 + 5*o - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/((g*g*g*g**(-2\/7)*g)\/g))\/g*g**13)\/(g**31*g*g\/g**42*g*g) assuming g is positive.\nAnswer: g**(128\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 6 - 7 = -3*x, 0 = 4*x - 5*z - 32 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -13 - (-124 + 144)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -426 - 0?\nAnswer: -426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (1 + 58) - (-9 + (14 - (-76 + 71))).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-99)\/6*(-8)\/6. Let r(n) = n**3 + 36*n**2 + 196*n - 49. Let o be r(-29). What is the highest common divisor of o and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a gram in milligrams?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + 6.3. Let p = 0.05 - -8.95. Let d = p - 8. Sort 1\/8, n, d.\nAnswer: 1\/8, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*1*((sqrt(288) + -2)*-1 + (sqrt(288) - (sqrt(288) - -1*sqrt(288))) + 1)*-4)**2.\nAnswer: -20736*sqrt(2) + 167184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-9) + 676\/117. Let j be 1*-5*(0 - q\/2). Let n = 7 + -2. What is the highest common divisor of n and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 59 - 110. Let f = c + 79. Let l = 28.2 - f. What is the nearest to 2\/7 in l, -4, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -30*k + 33. Give g(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 233842 + 1721904 = 4*c, 4*x - 2976094 = -3*c. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110214 (base 5) in base 4?\nAnswer: 323201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a factor of 35321312?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 69172919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 698\/835 - 6\/167. Let v = 504\/23 + -4996\/207. What is the common denominator of v and y?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 60\/(3 - (-90)\/(-40)). Solve 18*y = i + 46 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6246*c**2 + 118*c - 118*c.\nAnswer: 6246*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 115\/23*(-4 - 4\/(-280)*284).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-81)\/(-18))\/(-3))\/((-4)\/(-8)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 3:50 PM?\nAnswer: 7:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -474*c + 4114*c + 14364 = 3444 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, m: 6}. What is prob of picking 2 x and 2 m?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 126118 - 67*y**3 - 126118 - 5*y - y**3 + 5*y + (5*y**2 - 3*y**2 + 0*y**2)*(-3*y + 2*y + 0*y).\nAnswer: -70*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(90) + sqrt(10))\/sqrt(5).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -425 + 428. Solve 5 = -h*l + 2 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12\/334247 or 1?\nAnswer: -12\/334247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -5*s + 63656474 - 9656468, 2*g + 10800004 = s. What is s rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49158?\nAnswer: 2, 3, 2731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 897.1659355 - -0.0120645. Let h = b + -898. Round h to two decimal places.\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20585 and 184?\nAnswer: 164680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 36 + -32. What is the tens digit of w*(-148)\/24*-3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -85 + 157. Let j = -75 + z. Let q = 46 + j. What is the highest common divisor of 172 and q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1188?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -64 greater than or equal to -327\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -5. Let f = 0.1 + 0.1. What is the nearest to u in -0.5, f, -2\/7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millisecond in microseconds?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c + 2*c - 40. Suppose -9 - 2 = -5*i - 3*f, 5*f = 2*i + c. Is i at least 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -3. Let c = 5 + z. Suppose -2*k + k + 2*x = -6, 5*x + c = -3*k. Solve 0 = -4*q + k - 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 - -332112?\nAnswer: 332144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000110 (base 2) in base 15?\nAnswer: 8e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13233500 - 3*t + 3*t - 13233500 + 2*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/18*3*1\/8?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2383533 rounded to the nearest one hundred thousand?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 * 116.6\nAnswer: 163.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/15)\/(4\/(-6))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9873404 micrograms to kilograms.\nAnswer: 0.0000000009873404","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 1:35 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 6 + -11 - (0 - 6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.26 and 0.4.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 5*n**4 - 55*n**3 + 5*n**2 + 495*n - 450 = 0.\nAnswer: -3, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.864676ml in litres?\nAnswer: 0.004864676","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10734.299697 + 0.53?\nAnswer: 10734.829697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 383318 and 1766596.\nAnswer: 40631708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10)*(-1220)\/305.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 16*b**3 - 13*b**2 + 24*b + 14. Let h be k(5). Let s = h + -686. What are the prime factors of s?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2112 - 11?\nAnswer: -2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13*575\/(-299))\/((-10)\/(-4))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 18.7 + -94.7. Let f = w + 73. What is the nearest to -1 in 2, f, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 21. Calculate p(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13 - -23. Suppose 8*d = w*d + 262000. Round d to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-240)\/14)\/(12\/126). Let c = -101 - y. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1611201 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 56*m - 80*m - 1 + 26*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 5, 320914 in decreasing order.\nAnswer: 320914, 6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13599710*j**4*t - 266*j**2 - 1042*t wrt j.\nAnswer: -326393040*j*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/562 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5\/(10\/(-7242)))\/((-12)\/8). What is the greatest common factor of q and 142?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -91 (base 14) to base 3\nAnswer: -11201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19269 - 15875. Solve -3395 + d = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-63 + 9)\/(-9) - -14*(-9208)\/(-16) is divided by 218.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -13) + -2 + -1 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, y: 3, l: 4, d: 1, r: 1}. Give prob of picking 1 d and 3 y.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 310.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 388069187.\nAnswer: 11, 35279017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1072, -1639, -2206, -2773, -3340, -3907?\nAnswer: -4474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0065*0.07.\nAnswer: 0.000455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -22\/19037?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n**3 + 28265*n**2 + 112995*n + 84735 = 0 for n.\nAnswer: -5649, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1251, -107 in descending order.\nAnswer: -1, -107, -1251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 = 5. Find the first derivative of -y - t**3 + 4 + 4 wrt t.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29.45507 rounded to the nearest integer?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**4*d*d*d*d*d**(2\/25))**(-2\/21))**14)**(-1) assuming d is positive.\nAnswer: d**(808\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 7 = -o, -4*r + 3*o = -r - 27. Let q be 2*6*2\/r. Let d be 4 - q\/((-6)\/(-4)). Solve d*p + 1 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6506551 to the power of 1\/2, to the nearest integer?\nAnswer: 2551","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*o**2\/5 - 1633568*o\/5 - 217804 = 0.\nAnswer: -544510\/19, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*k - 34 + 133. Let g = -196 - -202. Solve -k + 35 = -g*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 2, c: 9}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32740, -65512, -98284, -131056?\nAnswer: -163828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 253360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 6*u - u - 3*u)*(11*u**3 - 24*u**3 + 5*u**3) as q*u**3 + p + j*u**2 + x*u**4 + i*u and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -3*(2756\/(-39) + 2 + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12309, 12230, 12151, 12072?\n\"Answer: -79*u + 12388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 10:19 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z**3 + 0*z**3 + z**3 + (-3 + 3 - 2*z)*(-2*z + 2*z - 3*z**2))*(0 - 4 + 3)*(-12 + 6 + 2).\nAnswer: 20*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2\/5 - 147*k\/5 + 144\/5.\nAnswer: 3*(k - 48)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**3 + 9*o**2 - 12*o + 14. Let s be h(-6). Let b be -7 + 1 + s\/(-2). Solve 0 = -5*p + b*j - 20, -p - 4*j = -3*p - 18 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 33 = 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.9 + -10. Let q = 0.4 - w. What is q rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 82 - h**2 + 7*h + 32*h**6 - 28*h**6 - 15*h + 43 + 37*h**4 wrt h?\nAnswer: 480*h**3 + 888*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 369631850 divided by -4403\nAnswer: -83950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4264953l to millilitres.\nAnswer: 426.4953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.3 - 0.3. Let i = 5.6 - 14.2. Let n = i + 9. Is n not equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d - 3. Let i be r(-3). Let t be (-85)\/(-30) + 1\/i. Find the second derivative of -3*c**t - 3*c + 2*c + 5*c**3 wrt c.\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 + -3 + 126\/8. What is g in 7\/4*g**4 + 13\/4*g + s*g**3 + 1\/2 + 27\/4*g**2 = 0?\nAnswer: -1, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -0.06 (c) -13\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 1 + 3\/2*s**2 - 10*s + 1\/6*s**3. Let w(l) = 1. What is 2*f(g) - 7*w(g)?\nAnswer: 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(((-105)\/50)\/(-7)). Let n(d) = 2*d + 44. Let l be n(p). List the prime factors of (-24306)\/(-126) + 8\/l.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 68*v - 882. Give a(13).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 123450841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33 - (-40110)\/1225) + (-3)\/5?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2524301 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: What is the smallest common multiple of 24 and 12171?\nAnswer: 97368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46194?\nAnswer: 2, 3, 7699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (42\/21)\/(1\/3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -83*o + 337 = -869 - 371 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -137585342\/13 at least as big as -10583489?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 18978050 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 91523.3 and 186.\nAnswer: 17023333.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 179 and 1969?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 9:58 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2370*z = -23687 + 100004 + 44553 for z.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**5 - 14900*t**4 + 3287915*t**3 + 20188610*t**2 + 16885800*t = 0.\nAnswer: -3186, -5, -1, 0, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/17)\/(y*y**(-2\/5)))\/(y**(-1\/6)*(y*y**(-6))\/y)*(y*y\/(y*y\/y**(-4\/7))*y\/(y*y**(2\/5)*y))**(-42) assuming y is positive.\nAnswer: y**(45007\/510)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - -4 - (-2)\/(-1). Let u(o) = 1 + 6*o - 6 - o**h - 6*o**2 - o**3. What are the prime factors of u(-8)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = 3*s - 534. Let b = s - 76. What is the tens digit of (0 - (-1 - b))*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1395, 1, -1 in descending order.\nAnswer: 1395, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.9 + 0.1. Let v = -1 + z. Which is the third smallest value? (a) -2 (b) -0.5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8874 and 326859.\nAnswer: 1961154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, -0.4, 5, 4 in ascending order.\nAnswer: -0.4, 1.3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a + 2 - 4 + 1. Let s(j) = j + 6. Let u be s(-5). Let n(t) = -2*t + 661. Let q(c) = -1322. Let k(i) = -2*n(i) - q(i). Give u*k(v) + m(v).\nAnswer: 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 27*p + 18 = 31*p, -2*p + 2 = 3*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.79, 0, -0.0029825 in decreasing order.\nAnswer: 0, -0.0029825, -0.79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 145 - 104. Calculate the remainder when 77 is divided by j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-3)*o))\/o**(2\/5))**(3\/20)*o\/(o\/((o*o**2)\/o))*o*o*o**1*(o*o**(-2\/7))\/o**(-2\/7) assuming o is positive.\nAnswer: o**(639\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 5, q: 3, e: 3}. Give prob of sequence epqq.\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6*k = -45. Let u be (-2)\/(-6)*(k + -3). Let w(q) = -q. Let f be w(-3). Sort f, u, 4 in decreasing order.\nAnswer: 4, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2486 and 12?\nAnswer: 14916","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13230 and 966672.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2592)\/84)\/36)\/(-2*2\/(-112)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 f when four letters picked without replacement from uffffffffuf?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 367\/352 + -143\/96. Find the common denominator of i and 109\/96.\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116120159 + 116120159 + a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f + 3*u + 2063, 2*f - 10353 = -3*f - 4*u. Let o = -22795\/11 + f. Let b = o - -551\/165. Which is bigger: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.76 * -2\nAnswer: 1.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k - 3*k - k - 2*k + 4*k + 0*k + (-k - k + 0*k)*(1 - 2 - 1) + 2*k + 0 + 0 + 4*k - 2*k - 3*k + 0*k + 3*k - 4*k - 3*k - 4*k + 5*k + 12*k - 301*k + 10*k.\nAnswer: -274*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(288)\/sqrt(9) + 2)*2 - (-1*(-2 + sqrt(98)) + (sqrt(98) + 2)**2 + 1).\nAnswer: -101 - 13*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes before 12:23 PM?\nAnswer: 1:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, 2\/155, -23, -0.2.\nAnswer: -23, -0.2, 2\/155, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u - 2. Let t be d(-2). Suppose -2*p + 21 = -t*x + 93, 3*p = -12. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 - 7*n**2 - 7*n - 9. Let k be t(-6). Let b = 3 + k. Let u be (2 + -2)\/(-2 - b). Solve -1 = 2*h + 1, -3*m - 3*h - 6 = u for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74507 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 - 42*r**2 - 302*r - 139. Calculate z(-10).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, -4211, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3) - (2\/5 - 170\/(-450)).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -r**3\/5 + 2554*r**2\/5 - 1625609*r\/5 - 6543364\/5 = 0.\nAnswer: -4, 1279","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 13*j**3 + 35*j**3 - 14*j**3 - 3*j + 3*j + 2*j**3 + (2*j + 0*j - 3*j)*(0*j**2 + 0*j**2 - j**2).\nAnswer: 37*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43 = -7*d - 71 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 4.26 * -29\nAnswer: -123.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/((-33)\/(-18) - 2). Sort x, -5, -55 in descending order.\nAnswer: x, -5, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1009 - 940.7. Let k = -68.293929 + s. What is k rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 208*r + 1. Let s(u) = -3*u + 1. Give -h(a) + 3*s(a).\nAnswer: a**2 - 217*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/2)\/(8\/24). Sort -2\/7, -2, q, 4\/211 in descending order.\nAnswer: 4\/211, -2\/7, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 475.723kg?\nAnswer: 475723000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24512548?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 281116224 to the power of 1\/3, to the nearest integer?\nAnswer: 655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 155672 and 11010256?\nAnswer: 121112816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.12089862, -4\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(1260\/16))\/((-16)\/(-40))\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 44806656 by -2.\nAnswer: -22403328","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-12) + (-1)\/4. Suppose -2*q = -m - 71, 3*m + h*m = -q + 32. Suppose -k - 4*k = -q. Does 3 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -29 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/3153 and 57\/21020?\nAnswer: 63060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9569 and 2217274?\nAnswer: 15520918","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 6*a - 0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -214.6 - -1.85630895\nAnswer: -212.74369105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15213, -15176, -15137, -15096, -15053?\n\"Answer: y**2 + 34*y - 15248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*y - 88*y = -39*y - 994 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-26))\/((-27)\/288*-8)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -335, -2094, -3825, -5522, -7179, -8790, -10349, -11850?\n\"Answer: k**3 + 8*k**2 - 1790*k + 1446","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -5*x**3 - 5*x. Let d(s) = 6*s**3 + 5*s. Calculate -4*d(m) - 5*t(m).\nAnswer: m**3 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - k + 370, -2*p - 2*k + 48 = -100. Suppose -5*d + p = 14. Suppose 0 = -4*g + 4*f + 188, -5*f + d = 2*g - 89. Does 16 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 4*w + 2*v + 63 = 0, 4*w + 4*v - 56 = 0. Let r = 1 - w. Does 4 divide (-33)\/r*(-8)\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*g - 6*g. Let s(d) be the third derivative of d**5\/12 - d**4\/12 + d**3\/3 - 2*d**2. What are the prime factors of s(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**(-46)\/o)*o)\/(o**(2\/67)\/o))\/(o**(-13)*o*o*o\/o**(-24\/7)) assuming o is positive.\nAnswer: o**(26518\/469)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 29 = -2*s + 3*s, -5*d = 4*s + 34. Let m(c) = c**3 + 6*c**2 + 4. Calculate m(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(3*((sqrt(405) + 1)*3 - sqrt(405))*-5)**2*6*1.\nAnswer: 874800*sqrt(5) + 13194900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*(-4*sqrt(630) + sqrt(630)) - sqrt(630))\/(sqrt(1210) + (sqrt(1210) - -2*sqrt(1210)) - sqrt(10)) + -4.\nAnswer: -6 - 48*sqrt(7)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*u**2 + 2 + 23*u**2 - 5*u**2)*(5*u - 4*u - 3*u).\nAnswer: -102*u**3 - 4*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 + 23. Calculate the remainder when 41 + 3 - (1 - (-3 - -2)) is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 - 66*b + 72. Calculate c(-67).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -67627830 rounded to the nearest one million?\nAnswer: -68000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2302*p**3 + 221*p**3 + 14*p**3 - 416*p**3.\nAnswer: -2483*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + (-21)\/(-98)*7 - 6\/(-12). What is the closest to 1\/3 in -70, j, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31922 is divided by 7980.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z + 7. Let d be c(-4). Let j be (13\/(-2) + 12 + -6)*-4. Suppose -k - d = -j*k. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 1:34 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 13*z + 18. Let l be p(-14). Let a(q) be the third derivative of -1\/24*q**l + 1\/120*q**6 - 1\/6*q**3 - 1\/30*q**5 + q**2 + 0*q + 0. Give a(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 515 - 356705995.\nAnswer: -356705480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 0*i - 14. Suppose -2*p = -i + 42. Let v = p + 26. What is the greatest common divisor of v and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -270.3 * -288\nAnswer: 77846.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87658 and 181999.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -796363 (base 10) to base 3\nAnswer: -1111110101221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of 2*u**3\/3 + 1. Let i(w) = -13*w + 31*w - 16*w. Give i(y(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -4*t**2 - t + 4. Let k(l) = -l - 1. Calculate c(n) + 4*k(n).\nAnswer: -4*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - -2.010873.\nAnswer: 3.010873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i - 116139672 = -18*i. Let x = -6969153 - i. Round x to the nearest one hundred thousand.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3641)\/22)\/((2\/2)\/2). Let x = -331 - j. Solve x = -s + 2*u - u, 3*s - u = 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-0.0812\nAnswer: 0.02436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -31240 divided by 6248?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from ecccee?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 0*a - 28 = 3*k, 0 = -5*k - a - 24. Let s be (k\/6)\/((-1)\/3). Let f(v) = 2*v**3 - 3*v**2 + 1. Is 4 a factor of f(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 0.214.\nAnswer: 1.498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 5*u - 2. Suppose -3*v = 3*g + 33, -2*g - v = 3*v + 32. Calculate s(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*p**3 + 72*p - 2*p**2 - 73*p + 19*p**3)*(-8*p - 4*p + 3*p).\nAnswer: -9*p**4 + 18*p**3 + 9*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 1\/12, -257, -1\/3.\nAnswer: -257, -1\/3, 0, 1\/12, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 3*q - 4032, 1356 = q - 5*l + 18. Calculate the remainder when 3*-1*q\/(-51) is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 29 = -5. Suppose 13*q = k*q + 531. List the prime factors of q.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17680 (base 15) to base 10\nAnswer: -75720","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of 7*w**5\/120 - w**3\/3 + 2*w**2. Let t(j) be the first derivative of s(j). Let g(v) = v**2. Calculate t(g(y)).\nAnswer: 7*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*h + 11543 - 8655 = 59*h for h.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*(f**(3\/4)\/f)\/f)\/((f*f\/(((f\/f**(-2\/9))\/f)\/f))\/f) assuming f is positive.\nAnswer: f**(-1\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/2*(-6)\/10*-1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 24*y**3 + 20*y**2 - 11*y + 39. What are the prime factors of d(3)?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of p**6\/120 - p**5\/60 + p**4\/24 + 2*p**3\/3 + 7*p**2. Let t(i) = -i - 4. Let w be t(-6). Let y = w + -2. Give s(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -194.4 + 194. What is the nearest to 2\/3 in q, -8, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -n - 0*n. Solve 0 = -5*g + 4*q + 10 - 3, n*g - 4*q = 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 f when two letters picked without replacement from {a: 1, y: 2, f: 1, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 110 - 10 = 0. Suppose q = 3*q - 8. Suppose v = p - 0*p + o, q*p = -5*o + 119. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64337)\/(-5555) + (-12)\/10 + 45\/(4950\/112)?\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23 - -28. Sort s, 9, -3 in descending order.\nAnswer: 9, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-189)\/28 - 0 - -7. What is the nearest to z in -1\/7, -0.2, -1, 12?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 - 3. Let i = -0.025 + -20.975. Let x = -21.1 - i. Which is smaller: x or p?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 AM and 4:23 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 5) + 21 - 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1276\/132*1\/(20\/6) and -121\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -220068 and -221244 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - 6\/(-12))*-2*4\/(-10). Suppose -3*s + 2*s + 3*x + 33 = 0, 4*s = -4*x + 52. What is the greatest common factor of s and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -75 + 24. Let l = -45 - b. Let p(t) = -t - 8. Give p(l).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 7*a**2 - 3. Let v be j(7). Let k be 13\/v - (-4)\/(-6). Let c(o) = -13 + 3*o + 3*o - 4*o + 16. Give c(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n + 8. Let d(x) be the third derivative of -x**6\/120 + x**5\/10 - x**4\/6 - 2*x**3\/3 + x**2. What are the prime factors of d(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 832?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/sqrt(16) - (-1*sqrt(2)*4)**2 - sqrt(16)\/(sqrt(32)\/(sqrt(64) - sqrt(4))).\nAnswer: -32 - 5*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 4:19 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/(-33))\/((-1)\/(-21)). Suppose 5*s = -2*l - f, -l + 6*l = 4*s + 31. Differentiate 8*j - 1 - l - 2 + 2 wrt j.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31\/8, 1\/4, 0, -77, -86, -0.2.\nAnswer: -86, -77, -31\/8, -0.2, 0, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/14*14\/4. Let k(y) = 3 - u - 2*y - 2. Let g(h) = -h**2. What is g(k(r))?\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1350 and 567?\nAnswer: 28350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9465078?\nAnswer: 2, 3, 7, 19, 29, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4047.49209 rounded to the nearest ten?\nAnswer: -4050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -8*k**3 - 5*k**2 - k - 7. What is the remainder when r(-3) is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 203, 195, 177, 149, 111, 63, 5?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-4) + (-695)\/(-278). Solve h + 8 = 2*u, x*h = u - 4*u - 2 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 1088*s - 2 - 1077*s + 6. Let p be i(5). Let k = p - -157. Is k a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -23*m**4\/6 - 5*m**3 + 26*m**2 + 124*m\/3.\nAnswer: -m*(m + 2)**2*(23*m - 62)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + 169 + 166. Does 16 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11299 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25146?\nAnswer: 2, 3, 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/7 + 8142\/(-322). Does 33 divide -8*((-330)\/(-25))\/(2\/b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 21*q = 48, -5*u = 2305*q - 2301*q + 13 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.494684823 rounded to 3 decimal places?\nAnswer: 2.495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1b73dd (base 14) to base 5\nAnswer: -222333031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p + 95. Is j(24) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(((-621)\/(-60))\/(-23)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppjjjpjpjpjjp. Give prob of sequence pj.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21453 and 573.\nAnswer: 4097523","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, n: 6, c: 3, w: 4, h: 2, y: 1}. Give prob of picking 2 n.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -36.3 less than -31302?\nAnswer: -31265.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 - s**2 + s**2 - s**5 + (4*s + 4*s - 6*s)*(21*s**4 + 31*s**4 - 124*s**4).\nAnswer: -145*s**5 + 2*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -64\/67 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/419444 and -51\/55190.\nAnswer: 2097220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-4)*((-29986)\/(-38352) - (-4)\/(-128)*20)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qjqjqqqqjjqqqqqqjj. Give prob of picking 4 j.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + 475767?\nAnswer: 476000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5230 + -6182?\nAnswer: -852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lupp. Give prob of sequence upp.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 8, 0, -10, -22, -36, -52?\n\"Answer: -c**2 - 5*c + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -110100 (base 2) in base 3?\nAnswer: -1221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2951?\nAnswer: 13, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1240 + -1236. Let w(k) = -k**2 + 6*k - 2. Calculate w(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-13\/4))**(7\/6) assuming p is positive.\nAnswer: p**(-91\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 21880 to the nearest one thousand.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21915, 21919, 21925, 21933?\nAnswer: 21943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 481\/24 - 155\/8. Let t = 2\/57 - -17\/57. Solve -t*c**5 + 0 + 5\/3*c**2 + n*c + c**3 - 1\/3*c**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13310 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10482775*b**4 - b**2 + b + 2819443 wrt b.\nAnswer: 41931100*b**3 - 2*b + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 443363 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 4:23 AM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 52640*n - 368468. What is u(7)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 34 - (107 + -103 - (0 - 18))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 + (-147)\/(-14))\/((-4)\/(-1048)). Solve -n + 111 = -4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aojb when four letters picked without replacement from albbloobooj?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -16*s**2 + 4*s + 30. Let r(u) = -7*u**2 + 3*u + 14. Let b(m) = -4*q(m) + 9*r(m). Determine b(-12).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (46 - (20 + -3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 280 and 10.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from dfooffoouuoduouodofd?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-36)*-54)\/((-1)\/12)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153 - 310 + 152 = b + 3*y, -5*y - 15 = -5*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**5 + 12472*u**4 + 19921130*u**3 + 1478917596*u**2 = 0.\nAnswer: -3079, -78, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3886338193?\nAnswer: 17, 331, 40627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52.21 + -52.71. Which is the closest to -0.7? (a) 9\/2 (b) 4 (c) 0 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7861929 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 716117 to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-487)\/(-7305) + (-6)\/(-45)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 663 and 26947245?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 = z - 41*h + 43*h, 297 = 3*z - 5*h. What is the units digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - 5. Let w(n) = -7*n - 6796. What is w(x(r))?\nAnswer: -7*r**2 - 6761","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26323.\nAnswer: 11, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118 + -208. Let o(r) = -3*r**2 + 46*r + 267. Let v be o(21). Is v at least b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ee31c (base 16) in base 10?\nAnswer: -975644","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7459*q**3 + 7403*q**3 + 0 + 0.\nAnswer: -56*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -27. Calculate the greatest common factor of 6 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4620\/(-990) - (1 - 6). Solve f*c**2 - 4\/3*c - 5\/3 = 0 for c.\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217 and 73?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1057694*x**4 - 416203*x wrt x.\nAnswer: 12692328*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/4 (b) -2\/293 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x - x - 4*o = 94, x - 17 = -o. Suppose p = -0*p + x. Suppose -3*h + 260 = 2*h. What is the remainder when h is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, q: 1, g: 2, d: 2, u: 1, o: 1}. What is prob of picking 1 o, 1 u, and 1 g?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 374*w**4 + 233*w**3 + 164*w + 108914167?\nAnswer: 1496*w**3 + 699*w**2 + 164","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - (-5 + 6)\/((-4)\/(-8)). Suppose i = 3*u - u - 56. Is 25 equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.1, 42.4596, 2\/9?\nAnswer: 42.4596","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*m**5 - 2*m**3 + 89*m - 2 wrt m.\nAnswer: 120*m**3 - 12*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*w = 25*w + 637 - 357 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 89 (c) -0.9 (d) 0.4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1)\/((-230)\/(-368))?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 17*t - 58. Calculate q(10).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2. Let d(k) = -k**2 - 10*k - 5. Let j be d(-9). Suppose 0 = 2*b, -3*u + b + 2 + j = 0. Let c(a) = -5*a**u - 7 + 7. Give g(c(v)).\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -9 from 19563376879.\nAnswer: 19563376888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7*1 - (108\/12 + -26). Solve 0 = 10*s - 50 - l for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**4 - 13*p**3 - 45*p**2 - 11*p + 70 = 0.\nAnswer: -7, -5, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1311)\/(-7) + 9\/((-189)\/6).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 29*g**2 - 18*g - 7. Let c(d) = 13*d**2 - 8*d - 3. Let p(v) = 9*c(v) - 4*j(v). Let k(i) = i**3 + 3*i**2 + 6*i + 1. Determine -k(s) + 3*p(s).\nAnswer: -s**3 - 6*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)*c**(-1\/3)\/c)**16\/(c**(-2\/3)*c**(-2\/5)\/c)**(-22) assuming c is positive.\nAnswer: c**(-414\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 519021298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 21889, 21886, 21883, 21880?\n\"Answer: -3*m + 21892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 13627\/11 - ((-990)\/121 - -8). Factor 2692*c**2 - d*c - 620*c - 403*c + 16*c**4 - 317*c**3 + 576 - 83*c**3 - 138*c.\nAnswer: 4*(c - 12)**2*(2*c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -487, -0.09, 0.7 in decreasing order.\nAnswer: 0.7, -0.09, -487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert a618a9 (base 14) to base 5.\nAnswer: 2414110242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**2 - 3*l + 2. Let i be r(1). Let s(v) = 9*v**3 + 2*v**2 + 6*v + 7. Let t(n) = -8*n**3 - 2*n**2 - 5*n - 6. What is i*s(b) - 7*t(b)?\nAnswer: 2*b**3 + 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0*d**4 - 1 + 2*d**4 + 5 wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2. Let h(k) = -47*k + 4. Let o(m) = -164*m + 17. Let f(j) = 22*h(j) - 6*o(j). Calculate a(f(x)).\nAnswer: 2500*x**2 + 1400*x + 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73.1 + -72.8. Sort u, 0.2, -13.\nAnswer: -13, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12986\/4832)\/((-10)\/320)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-1\/3)\/(x\/x**(-17)) assuming x is positive.\nAnswer: x**(-55\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -111747, -446981, -1005705, -1787919?\n\"Answer: -111745*h**2 + h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s = -3*r - 4*s - 4, 5*r - 3*s + 3 = 0. Suppose 3*y - 4*y + c + 869997 = 0, c - 3 = r. What is y rounded to the nearest one hundred thousand?\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1217182324?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 3553, 3582, 3637, 3730, 3873, 4078?\n\"Answer: 2*k**3 + k**2 + 12*k + 3538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4\/19 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11122 - 3320123?\nAnswer: -3303001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*l + 17639611 = 17636011 for l.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4e9d01 - -3?\nAnswer: 4e9d04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 y when two letters picked without replacement from {w: 1, d: 13, i: 1, y: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9.38 + 8.88. Which is the nearest to -0.1? (a) 1\/6 (b) u (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -10144 + 52 + 1 + 3\/(-1). Is r\/(-10) - 12\/30 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20304*n**3*u**6 - 34*n**3*u**2 - 34*n**2*u**2 wrt u.\nAnswer: 2436480*n**3*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r = 16*r - 3*g - 10, 4*g = -r + 16 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from wwywqwuwqo.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**6\/720 - c**4\/3 + 5*c**2. Let h(o) be the second derivative of s(o). Let p(m) = 15*m. What is h(p(v))?\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 5*j - q - 35, 3*j = -3*q + 12. Let w(c) = 3*c - 9. Give w(j).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -128*o - 3. Let y be a(-2). Let x = -389 + y. Let t = -23 - x. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(6*2880\/(-256)).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.1, -3, -0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.3 + 3. Let i = -0.5 - t. Let k = -1\/77072 + 231223\/539504. Which is the second smallest value? (a) k (b) -0.05 (c) i (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/38 and 41\/8.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 1.4 (c) -501\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**3\/6 - v. Let u(o) = 7*o. Let s(p) = 22*p. Let c(r) = 3*s(r) - 8*u(r). Give b(c(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 203 - 181 = 2*u, 4 = 2*u - l. Solve -r + 1 = 5*i, 32*i - 35*i = -u*r + 5 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*2 - (-1 + 1). Suppose x = -q + 15. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/((-4)\/(-14))*-2. Let i(m) = -m - 9. Let d(r) = 26 + 6*r - r - 3*r. Let g(z) = 3*d(z) + 8*i(z). Give g(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + -1826?\nAnswer: -182a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.5, 1\/3, 4, -2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u + 6 + 10 - 23 + (-10 + 10 - u)*(3 + 1 - 2).\nAnswer: -3*u - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m + k - 61 = m, 4*k = -5*m + 49. Let q = m - -27. Solve -9 = -q*g + 37*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3865*n**3 - 17496*n**2 wrt n?\nAnswer: -23190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 130\/9 (b) 13 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/(sqrt(60)\/(4*sqrt(10))) - 3*-3*sqrt(12))**2.\nAnswer: 1452","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 31*p - 1863. What is k(61)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 3. Let m(v) = v - 3. Suppose -11 = -5*j + j + 3*i, -j + 4*i + 19 = 0. Let f = j + 7. Let l be 3 - 9 - (2\/(-1) + 1). What is f*g(k) + l*m(k)?\nAnswer: k - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10.6*-1.5.\nAnswer: -15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 55.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2 - 18*v - 4 in the form u + x*v and give x.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -5991356 rounded to the nearest 100000?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 10*f - 6. Let p(i) = -21*i + 13. Let m(g) = -6*p(g) - 13*q(g). Let d(n) = 9*n. Let u(b) = 6*d(b) + 13*m(b). Let h(s) = 6*s. Determine h(u(x)).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-72)\/(-126) + (-1)\/14. Which is the nearest to -3? (a) 2 (b) -12 (c) -3\/7 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -14*j - 92. Let m be t(-21). Let x = 715 - m. Is x a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 221*n + 136*n - 28*n - 10517 = 4946 for n.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -241\/4013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -121342542?\nAnswer: 121342546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 2.693188 nanograms?\nAnswer: 0.000002693188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 89*g + 10 - 45 - 87*g + (2*g - 4*g + 4*g)*(-6 - 5 + 3) - 4 + 4 - 2*g.\nAnswer: -16*g - 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8, -48, -122, -230?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 72608 divided by -72608\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.40807962 rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5 = 0, 7*f - 2*f = -5*u + 5. Suppose f = 5*y - 18 + 3. Suppose b = -y*x + 19, 2*b + 2*b + 3*x = 49. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**3\/5 - 13*d**2\/5 - 8*d - 36\/5 = 0 for d.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*i + 395 = -908 + 253. What is the remainder when 4346 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1118 + 1141. Suppose 0 = q + 4*l - 233, 0 = 2*q + 5*l + 121 - 602. What is the greatest common divisor of j and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1558951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -175*l + 178*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*o - 21 = -42*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 104363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 9:27 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64096512 and 120.\nAnswer: 320482560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/2 + 40*q = 0. What is q?\nAnswer: -80, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mam when three letters picked without replacement from mmmammmmmmma.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, 4, -5, -1.34, 0 in descending order.\nAnswer: 4, 2\/3, 0, -1.34, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 125648531 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/10 - (-8559)\/1585?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -325, -1304, -2937, -5224, -8165, -11760?\n\"Answer: -327*p**2 + 2*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**(-2\/17)*y**42*y*(y**(-19))**(1\/21) assuming y is positive.\nAnswer: y**(15784\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/(-3 - -1) - 0. Suppose 0*x + x - 5*w - 3 = j, 3*w = -2*x - 33. Let h be x\/(-1)*(0 + 6). What is the highest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1185963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1292000 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pghh when four letters picked without replacement from yiijphgjhygg.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 7*c + 40 = 0. Let -4*i - i + 14*i**3 + 4*i**2 + c*i**4 + 3*i = 0. Calculate i.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -112211121212200 (base 3) in base 15?\nAnswer: -a5b6a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22 - -1) + 40 + 22 + -59.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -46.3 and 14507.\nAnswer: 14460.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 3*t - 4. Let m(p) = 3*p**2 + 3*p**3 - 1 + 2*p**3 - 2*p**3 + 4*p. Let v(y) = y**3 - y**2 + y. Let n(o) = t*v(o) - m(o). What is n(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27 (base 13) to base 3\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5.956 times -0.22\nAnswer: 1.31032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 l when four letters picked without replacement from liblwpbbppwllp.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + w + 0 = 7, 4*x + 3*w = 31. Let d(o) = 6 - x*o**2 - 20*o - o**3 - 22 + 30*o**2. Is d(13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 1 - 34*x**4 + x**2 + 35*x**4)*(-83 + 14*x + 83).\nAnswer: 14*x**5 + 14*x**3 + 56*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-4))**(-48)*((f**14*f*f)\/f)\/(f\/f**(-9\/5)*f))**(5\/14) assuming f is positive.\nAnswer: f**(508\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*s**5 - 72*s**4 + 463*s**3 + 1021*s**2 - 2496*s - 4732 = 0. What is s?\nAnswer: -7, -2, 13\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -37 - -25. Let g be 24\/i*(-5)\/2. Let l(v) = -v**2 + 15*v + 2. Does 3 divide l(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -413\/1131 + 12\/377. Which is the closest to 0.3? (a) 1 (b) 4 (c) q (d) -5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**3 + 8*k**2 + 14*k + 8. Let r(t) = -t**3 - 3*t**2 - 5*t - 3. Suppose -210 = -2*q - 3*q. Let z be 38\/14 - (-12)\/q. What is z*y(l) + 8*r(l)?\nAnswer: -2*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 0 - (-15 - -29 - 24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 212 + -386. Let n be (3 - (-520)\/x)\/(2\/(-6)). Which is greater: 1 or n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4514600499397 plus 0.113?\nAnswer: -4514600499396.887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 - (4*-5 + 4). Calculate the greatest common divisor of v and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 102*q**2 + 97?\nAnswer: 204*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 3*t + 23, -o + 3*o - 5 = -3*t. Suppose 1345 = 5*x + 4*i, i + o*i - 794 = -3*x. Calculate the remainder when 25 is divided by x\/14*4\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 152 and 19?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 731 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 577562 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6120, -11876, -17622, -23352, -29060?\nAnswer: -34740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 158 = 3*o, -4*w + o = 5*o - 152. Calculate the remainder when w is divided by 34.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h + 0*h - h)*(0 + 0 - 2*h**2)*(2 - h - 2).\nAnswer: -6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -5 (b) -639\/4 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/31 (b) -4 (c) -0.4 (d) 17.162\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -5*z + 3*x, 13 = 4*z - z - 2*x. Let f(i) = 34*i. Let b(t) = -t - 1. Let k(y) = 5*b(y) - f(y). Let s be k(z). Round s to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**3 - 8*i**3 + 9*i**3 + (2*i**2 + 0 + 0)*(i + 3*i - 3*i).\nAnswer: 5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 8:05 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2495 divided by -5\nAnswer: -499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, m: 8}. What is prob of sequence xxxm?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10 * 457.7227\nAnswer: -4577.227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-2) - (-1)\/2. Suppose -p + l = -1, 3*p + 3*l - 15 = c*l. Find the second derivative of k - 3*k**p - k**4 + 5*k**4 wrt k.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 996639 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: Let i be 16\/(-3) + 18\/(-27). Is 16 a factor of ((-106)\/(-2))\/(-3 + (-24)\/i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -v - 5*x, -4 = 4*v - 3*x - x for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -487*w**2. Let m(l) = -2*l. Give g(m(t)).\nAnswer: -1948*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 9 + 11)*(2*o**3 - o**3 + 0*o**3) + 0*o**3 + 0*o**3 + o**3.\nAnswer: 27*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 194777*n**4 + 515790 with respect to n.\nAnswer: 779108*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -20, -7*f - 4*l = -4*f - 1408. Suppose 113*n = 142*n - f. Calculate the least common multiple of 20 and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 2, u: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 290304160 to the nearest integer?\nAnswer: 662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000101101000000110000011 - -11?\nAnswer: -1000000101101000000110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 0 = -6. Let a(v) be the third derivative of 11*v**2 - 1\/60*v**5 - 1\/6*v**4 + 0*v - 1\/6*v**3 + 0. Determine a(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5be - -284?\nAnswer: -33a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -112.3632491 to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1 and 863.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40.1 - 40. Is o greater than 17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*4\/(-8)*0\/5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - 1*(4 + -1). Let x(t) = t + 3. Determine x(i).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 730*l - 90*l = -47875 + 19814 - 39139 for l.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 1521467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 PM and 6:40 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*t - 16, -3*w + 5*t + 8 + 4 = 0. Solve 2*j - w = 3*p, -8*p - 5 = -3*p - 5*j for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**29)**(4\/15))**(-11))**(-1\/3) assuming i is positive.\nAnswer: i**(1276\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 245 and 1197805.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from nnnnnnn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkid when four letters picked without replacement from iidqikiikk?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of h**5\/20 + 17*h**4\/12 - 5*h**3\/3 + 29*h**2\/2 + 22*h. What is the tens digit of s(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 - -0.08. Let v = -2.95 - l. Which is the nearest to -0.2? (a) -1\/7 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 296225.5g?\nAnswer: 296.2255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**3 - 15*s**2 - 12*s. Let c(f) = f**3 - 4*f**2 - 3*f. Let z(t) = -15*c(t) + 4*g(t). What is the second derivative of z(l) wrt l?\nAnswer: -18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4 = x. Suppose -5*f + 4*w + 32 = 0, 2*w = -x*f + 11 - 1. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*o + 32020, -2*n = 36*o - 41*o + 53332. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/6 and (-1458)\/(-240) - 2\/10.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00012867813 rounded to six decimal places?\nAnswer: 0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 9 + 29 = 0. Suppose 4*r - 30 = 10*r. Let t = r - -35. What is the highest common factor of t and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 6*l - 62. Suppose -2*c - y = -28, 60 = -5*c + l*c - 3*y. Suppose 0 = 2*u - 80 - 16. Calculate the highest common divisor of u and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -12. Let q = 4 - u. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1787969 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 11850517711 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3 + 8*k**3 - 11 + 7*k**3 wrt k?\nAnswer: 45*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 902310 + (13 + -5 - (-33)\/11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24387 (base 15) in base 16?\nAnswer: 1c360","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*g = 252 - 72 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 149792?\nAnswer: 2, 31, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2438596?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 9*y**2 - 2*y + 5. Suppose -12 = -9*u + 3*u. Suppose 3*s + 2 - 12 = 4*m, u*m = 4. Let w(z) = -z**2 - 1. Determine s*w(a) + t(a).\nAnswer: 3*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*y**3 - 17*y**3 - 97*y**3 - 378*y**3 - 160*y**3.\nAnswer: -694*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25\/22 at most 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 564 and 21918336?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 752583*o + 258684?\nAnswer: 752583","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of n**3 + 238. Let i(r) = 30*r**2. Give i(k(o)).\nAnswer: 270*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -11 (b) -1\/3 (c) -2\/13 (d) -5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1c9d9 (base 15) to base 11\nAnswer: -64158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 - -64. Let y be (5\/(f\/6))\/((-7)\/98). Let s be 10\/6*(y\/(-10) + 1). What is the closest to -2 in 5, s, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 8 + -29 - -1 - -3.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054.5338 minus -6845.6714?\nAnswer: 8900.2052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.9 - 0.9. What is the second smallest value in -4, -0.1, y?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 19068860 and -0.008914.\nAnswer: 19068859.991086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/(-3))\/((-3)\/(-1)))\/((-18)\/18)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + 2. Suppose 17 = n + 4*b, -g*n + b + 16 = 3*b. Let u(y) = -4*y**2 - 5*y. Let j(t) = t**2 + t. Calculate n*j(h) + u(h).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80)\/(sqrt(10) - (sqrt(10)*-2 - sqrt(10))) + sqrt(8))\/((sqrt(40) + (sqrt(40) - sqrt(320)\/sqrt(8)))\/sqrt(10))*5.\nAnswer: 25*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 41388171*d**3 - 152518*d**2 + 408?\nAnswer: 248329026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 18831220.\nAnswer: 37662440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 116968 and 64.\nAnswer: 935744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(272) + -4 + sqrt(272) + -5)*-1 + (sqrt(187)*-6*4 - sqrt(187))\/sqrt(11)*1.\nAnswer: -33*sqrt(17) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 5:35 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2 + 462*b + 1901043.\nAnswer: -(b - 1629)*(b + 1167)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/18 and 1 + (10\/(-30))\/(8\/6).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*u + 262*u = -56 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*c**2 + 22*c**2 - 2*c - 8*c**2 to f*c**2 + a + g*c and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or -32?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**2 + 2906310*j - 5812608 = 0.\nAnswer: 2, 968768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -159 + 163. Solve -4 = -4*k + y*m, 29 = -3*k - 4*m - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 27 = 5*m, 3*i - 25 = -4*m - 1. Suppose 4*l - 2*j - 18 = 0, 3*l - 7*j + m*j - 11 = 0. Solve -l*t - 10 - 10 = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 21116, 21117, 21118, 21119, 21120, 21121?\n\"Answer: t + 21115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 847.1 rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of -i**3\/3 - 5*i**2 - 102. Determine n(-7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**3 - 4*n**2 + 28*n - 61. Let q be h(-14). What is q rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 1, -3, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 - (39 - (58 - -15) - -22)?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m - 20*r + 15*r - 21, 2*m + 17 = -25*r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5.743651 weeks to milliseconds.\nAnswer: 3473760124.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z + 4. Let a be b(2). Let u be a\/(-8) - 26\/(-4). What is the second derivative of 35*c - 36*c - 2*c**4 + 2*c**4 - 5*c**u wrt c?\nAnswer: -100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -4*r**3 + r**2 + r - 1. Let a be o(1). Let q be (5\/a)\/((-4)\/24). Suppose -5*v + 55 - q = 0. What is the greatest common factor of v and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gggtw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3819*g*t**3 + 4*g*t**2 - 2*g + 4*t**3 - 38357*t with respect to g.\nAnswer: 3819*t**3 + 4*t**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes before 2:58 PM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 662 + -659. Suppose -4*j + 0 = -3*c - 32, -5*c = 5*j - 5. Calculate the least common multiple of j and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + k = 44, 60 = 5*w - 2*k - 3*k. Let d = w + -12. What is the remainder when d is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2 + sqrt(68) + 0 - 2*sqrt(68)*2)**2 - (-1*sqrt(68) + 3 - (sqrt(68) + -1 + 1 + sqrt(68)))**2*2).\nAnswer: -96*sqrt(17) + 626","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 11*x + 20. Let q(n) = -4*n - 7. Let o(s) = -8*q(s) - 3*t(s). Let c(h) = -h**3 - h**2 + 7*h - 5. Let f be c(2). Determine o(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0*6*(-6)\/(-108))\/2. Let u(x) = -x - 35. Calculate u(j).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2639093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/5 in 0, -5, -15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 138 is divided by 31.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63168\/(-752)*(-2)\/7.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 110 - 365 = m, -x + 80 = 3*m. Suppose -3*q - x = -8*q. Let f = -14 + q. Which is smaller: f or 1\/20?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1194 - 36*f**5 + 2*f**2 - 17*f**5 - 1298 wrt f.\nAnswer: -3180*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202100 (base 3) to base 16.\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2737338065?\nAnswer: 5, 7, 11, 7109969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 87*s**3 + 7*s**2 + 8*s + 29. Let k(f) = -22*f**3 - 2*f**2 - 2*f - 7. Determine 25*k(a) + 6*n(a).\nAnswer: -28*a**3 - 8*a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -32. Let p(b) = -7*b + 25*b - v*b + 0*b. Let w(x) = x**2. Calculate w(p(t)).\nAnswer: 121*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 196*b**2 - 11 + 1003*b**2 + 10 + 2 to d*b + m*b**2 + s and give m.\nAnswer: 1199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 171254.\nAnswer: 2, 85627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 7*z**2 - 17*z + 20. Let i be k(-10). Calculate the greatest common factor of i and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*c - 81 = 0, -3*c + 0*c = -f + 27. What is the greatest common divisor of 216 and f?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45233 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b. Let f be -2 + (-5 - (-3)\/1). Let x be h(f). Suppose 0*w = w + x. Let m(v) = -v**2 - 4*v - 3. What is m(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 21*h**3 - 209152*h**2 - 8568454?\nAnswer: 63*h**2 - 418304*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**3 - 7*o**2 - 4*o - 2. Determine f(7).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - b**2 + 0 + 11*b.\nAnswer: -b**2 + 11*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.112 + 0.288. Let r = 0.008 - -0.992. What is the closest to r in j, -1, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*v - 25 = -2*p, -3*p = 5*v + 25. Suppose p = -2*t - 50 + 228. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3 - 170*f**2 + 2086*f - 6958 = 0. What is f?\nAnswer: 7, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17)\/561*-4)\/(5\/(-15))?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, m: 1, q: 1, y: 1, l: 8, h: 2}. What is prob of picking 1 q, 1 l, 1 m, and 1 h?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, -95, -0.1, 37?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 608339349.\nAnswer: 3, 197, 114371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**3 - 11*x**2 - 4*x + 6. Suppose -3*l = 5*a, -2*l + 0*l - 2*a + 4 = 0. List the prime factors of k(l).\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 1)*(-3 - -4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5e9 + 0?\nAnswer: -5e9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65*(-2)\/26 - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 3*f = d - 831, -d + 2*f - 169 = 0. Let s = d - -175. What is the remainder when 48 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 288.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33251079929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-2\/9)*h)\/(h\/(h**(-10)*h)))**25)**14)**(-15\/11) assuming h is positive.\nAnswer: h**(145250\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 10*b**2 - 7*b + 27. Determine t(11).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 227\/3 - 76. Let d = 8 - 5. Let i = d - 0. What is the second smallest value in z, -1, i?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6708726.\nAnswer: 2, 3, 372707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25433\/5 + -5107. Let m = s + 56\/3. Calculate the common denominator of m and -56\/33.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 616*z**4 + 279*z wrt z.\nAnswer: 7392*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4104 + 4105 + 4105 + 35*k - 17*k - 12314 - 17*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5)*k\/(k\/(k*k\/(k*k**(1\/15))*k)))\/(k**(4\/11)\/k*(k\/(k*k**(-1\/3)))\/k))**(-6\/13) assuming k is positive.\nAnswer: k**(-240\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/10 and 27\/902.\nAnswer: 4510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1156 a factor of 3258764?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1026879169.4223 and -17?\nAnswer: 1026879186.4223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddjj. Give prob of picking 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 PM and 3:06 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 2 = -1. Suppose u = 1, -2*u = -2*f + a - 9. Let j(r) = r**2. Give j(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 195*t + 37. Let s be p(-9). Let d = -1163 - s. Let w = -368 + d. What are the prime factors of w?\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, 34732 in descending order.\nAnswer: 34732, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y**3 + 13*y**2 + 19*y. Let q be h(-4). Let x = q + -32. List the prime factors of x.\nAnswer: 2, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, i: 4, p: 3, t: 3}. Give prob of picking 1 t and 2 p.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve s + 0*s - 2*f = 7, f = 5*s + 1 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 3. Suppose 0 = q*d - 3*d - 3. Solve 2*u - 2*t = -2*u + 24, -d*u - 4 = 4*t for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/11, -51, 2, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 3194164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((2352\/105)\/28)\/(2\/1920) is divided by 766.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/9 and (5 - 3)*97\/20.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9091434 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-20)\/v*v)\/(v*v**4)*v**31\/(v*v\/(v*v*(v*v\/((v*v**7*v)\/v)*v*v)\/v*v)) assuming v is positive.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3 - 7 = 0. Let w = 117 + -109. What is the remainder when u is divided by (-9)\/w + 1 - 1275\/(-408)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2*8)\/((-3)\/(-24)). Suppose 4*o - 4 = x. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1853, -2526, -3199, -3872, -4545, -5218?\n\"Answer: -673*o - 1180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - (-12 + -22 - -22)) + -4?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*v - 3*v + 5*r, 5*r = -4*v + 3. Suppose 3*i - v*i + 4 = 0. Let w(o) = o**3 + 3*o**2 + 2 + o**2 + o + 0*o**3. What is w(i)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o*o**(-3)*o))\/((o**(-5)\/o)\/o))\/(o**1)**(-3\/7))**(-2) assuming o is positive.\nAnswer: o**(-118\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 t when four letters picked without replacement from qqtntntttnqtttqttnn?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Suppose -p = p - q. Suppose -6 = -16*c + 14*c. Is p greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4305 - 15154141?\nAnswer: -15202450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 5, -14, -5, -2949, -292 in descending order.\nAnswer: 5, -3\/2, -5, -14, -292, -2949","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289591 is divided by 12060.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 148184 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -303*h + 5896 + 5915 = -30*h - 6480 for h.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06 - -0.07. Let t = w + -5.13. Let x = 99\/2 + -689\/14. What is the nearest to x in -1, t, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4346\/848 + 2\/(-16). Solve 2*c = -3*i - 1, b*c - 3*i + 11*i + 3 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11a9 (base 11) in base 4?\nAnswer: -120203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 106\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - -1460?\nAnswer: 1453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -6*o + 2. Let z be l(-3). Let y(q) = -52*q - 4. Let b be y(-9). Suppose -4*n + z + b = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*r**3 - 1\/3 + 1\/3*r + 1\/3*r**2 = 0. Calculate r.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z - z - 3*z)*(0*z + 0*z - z**2) - 22*z**3 - 27*z**3 + 46*z**3 as b*z**2 + n*z + q + t*z**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4716, 4734, 4770, 4824, 4896?\nAnswer: 4986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1193487337?\nAnswer: 7, 19, 53, 169313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 669*b**2 + 2*b. Let c(i) = 1335*i**2 + 4*i. Determine 6*c(y) - 11*d(y).\nAnswer: 651*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, z: 2, r: 1, k: 1, u: 1, q: 1}. Give prob of sequence zqz.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*u = -2 + 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.8 times -248422?\nAnswer: 8396663.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 76 and 22412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 6*l**2 + 6*l - 5. Let x be h(5). Suppose x = -3*o + 25 - 13. What is the third derivative of 0*r**5 - r**5 - 10*r**2 - o*r**5 wrt r?\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -5 (b) 3\/22 (c) -20 (d) -130\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7 - 5 - 5 - (0 - (-27 + 5 + 23))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.219 - -0.219. What is the second smallest value in h, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27641033 (base 8) in base 16?\nAnswer: 5f421b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**4 + 4*o**3 - o**2 = 0. What is o?\nAnswer: -1, 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2713253737 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = m, m + 2*m = 3*r - 24. Suppose 0 = r*q - 12 - 12. Solve -t - 3 = -q*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/14441598 and 109\/1116.\nAnswer: 28883196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 441723 times -5?\nAnswer: -2208615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 17*w = 13*w + 2, -3*n = -5*w + 8. Let j(t) = 0*t**2 + 0*t**2 - 2 + t**2. Let k(h) = 1. Determine n*j(s) - 2*k(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 375451 is divided by 93861.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1843 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20580347 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 19307920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13607?\nAnswer: 11, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34237839.\nAnswer: 3, 37, 167, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: -200 times 15007\nAnswer: -3001400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.09 and -3010786.\nAnswer: -3010785.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -9630028088 plus -235.33?\nAnswer: -9630028323.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -665592 rounded to the nearest one thousand?\nAnswer: -666000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 876 and 45036?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -769 + 841. Solve 5*x = g - 87 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 9:35 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -109, 2\/19, -1\/24, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 30*g - 9. What is the lowest common multiple of d(2) and 11?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 3*s**2 + 53*s - 1. Let r be l(-6). Let n(q) = -q - 2. Determine n(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**9\/6480 + r**8\/6720 + r**7\/1080 - r**6\/720 - r**4\/2 - 9*r**2. Let a(i) be the second derivative of n(i). Factor a(b).\nAnswer: -b*(b - 1)*(b + 1)*(7*b - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -16*b - 120. Let x be v(-10). What is the first derivative of -1582*y + 29 + 1542*y + 131 + 65 - x wrt y?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 3:38 PM?\nAnswer: 12:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4685619 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001831 rounded to 6 dps?\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oyqcqovyoyq. What is prob of picking 1 o, 1 y, and 2 q?\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-23)\/(-3))\/(6\/(-108)*-6). Suppose -5*g = -4*a - 210, -2*a + 19 = g - 23. Suppose 0*s = -2*x - s + g, 3*x - 63 = 3*s. Which is greater: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 5*v**2 + 8*v - 2. Let j be c(6). Suppose 0*u - 5*u + j = 0. Factor -2\/7*p**4 + 2\/7*p**5 - 2\/7*p**3 + 2\/7*p**u + 0 + 0*p.\nAnswer: 2*p**2*(p - 1)**2*(p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -4*v**3 + 25*v**2 - 28*v + 26. Suppose 0*m - 3*m - 3 = 0. What is the remainder when -1*((-42)\/2 + m) is divided by j(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(8602\/110)\/(-23) - (-297)\/21.\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6766507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 8:18 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 - 4)*(-136*n**4 + 132*n**4 - n + 2*n).\nAnswer: 16*n**4 - 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 45430 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 3*p - 8 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((0 + sqrt(1573))*4)**2*4.\nAnswer: -302016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 75574*b - 53723. Let t(z) = 47231*z - 33577. Let x(w) = -18*h(w) + 29*t(w). What is the first derivative of x(l) wrt l?\nAnswer: 9367","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1124 = -6*o + 2*o - 2*w, 5*w = 4*o - 1138. What is the hundreds digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -358*f + 6203 + 2212 = -535 for f.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -9828 divided by -3\nAnswer: 3276","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9618 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/41 in 0.5, 2, 3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1824 + -690. Let d = k - 641. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12327*c**2 + 12341*c**2 - 24687*c**2.\nAnswer: -19*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 34 + 21*f + 16.\nAnswer: 21*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -4 - ((10 - 28) + 3) - -44?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 3*s - 9, -s = -6*s + 15. Suppose a = -0*f + 4*f. Let w be (-2 + 3 + f)*0. Solve 9*c - 4*c = w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times -7062?\nAnswer: -1412.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.4 (b) -0.19 (c) -5 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191797.\nAnswer: 23, 31, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 289*v**2 + 1 - 422*v**2 + 126*v**2 - 1.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2138156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -196*l**3 + 7*l**2 - 28*l - 75. What is the units digit of u(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1894?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -591, -835, -1079, -1323, -1567, -1811?\nAnswer: -2055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 39, -1 in increasing order.\nAnswer: -3, -1, 2, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + p**2 - p + 56. Is v(0) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(-99))\/(119\/187)?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 - (-9 + 3)\/3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000049618 to 7 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 8*c + 18. Let b(y) = -9*y - 17. Give 3*b(o) + 2*l(o).\nAnswer: -11*o - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23\/7 - -20\/7. Let h(p) = p**2 - 9*p - 28. Let i be h(12). Suppose 0 = -5*f + i*f + 3. Sort v, f, 1\/5.\nAnswer: f, v, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-2 - (1 - 2)) - -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -32 + 32. Let t(i) be the second derivative of 17\/5*i**5 + 8\/3*i**4 - 2*i + 1\/3*i**7 + b - 1\/3*i**3 - 2*i**2 + 26\/15*i**6. Find g such that t(g) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2403*i - 2516*i - 2*i**2 + 0*i**2)*(2 + 2*i**3 - 2 + (-5*i**2 - 2*i**2 - i**2)*(-157 + 157 - 12*i)).\nAnswer: -196*i**5 - 11074*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 463 divide 2825588529?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0007028 to 6 dps.\nAnswer: 0.000703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 + d + 4. Let c be m(-3). Let x be (6\/15)\/1 + 36\/c. Suppose 0*k + 28 = k + x*y, 140 = 5*k + 2*y. Is k a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4022 by 2011.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 4*s = 24. Let j be (s\/15)\/(4\/(-10)). Suppose -m + 7 - j = 0. Solve -m*z - 7 = 3*q - 0, 13 = 5*z - 2*q for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12495\/(-45))\/(1\/(-3))?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -208964, -0.2, 5, -10, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - m = -3*r - 75, -2*m - 102 = -3*r. Let o = 57 - r. Calculate the remainder when 61 is divided by o.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 5217?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1477142376 and 34191.\nAnswer: 11397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 406485 and 99.\nAnswer: 4471335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2\/709 + -1440\/7799. Let d = 61 + -61. Which is greater: q or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes before 9:45 AM?\nAnswer: 11:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**(-1)\/p))**(-4\/21) assuming p is positive.\nAnswer: p**(-16\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 44*i + 337. What is t(13)?\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/6 and -43\/148.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 474*b + 4*p - 136 = 472*b, -5*p = -180 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9497\/43 - 285853\/387. Let f = l - -20525\/18. Let r = 600 - f. Is -23 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - 1*(3 + 0 - 4). Let g be y\/(40\/115) - (-1)\/(-2). Solve 2*r = -g + 5 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(((k*k**(-4\/11))\/k*k*k)\/k))**(-16\/5) assuming k is positive.\nAnswer: k**(-48\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -39 + 65. Calculate the remainder when 41 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 495471 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 2*u - 9. Let w be b(5). Is 8 a factor of (w - 37)*(0 + -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g**(-2\/9))\/(g\/(g\/g**(1\/12))))\/((g*g\/(g*g**(-7)))\/g*g*g*g**(-3)*g*g*g)*((g**(-1\/5)*g)\/(g\/g**(-2)))\/(g**(-5\/7)\/g**(-4)) assuming g is positive.\nAnswer: g**(-16117\/1260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}