diff --git "a/data/dm_maths/full_data_2/1867_11255.jsonl" "b/data/dm_maths/full_data_2/1867_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/1867_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let q be 9*8\/360*10. Suppose q*u - 80 = 5*y, -5*u + 154 = 39*y - 40*y. Solve 0*f + f = 3*a - 14, 5*a = 3*f + u for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - z - z = 41, 5*z - 250 = -5*n. Let h = 123 - 44. Let m = h - n. Calculate the remainder when m is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4696*c + 228*c**2 - 576*c**2 + 4696*c.\nAnswer: -348*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-7) - (-66)\/14. Let j(n) = -n**2 - 6*n. Let y be j(-6). Let l = -604 + 607. Solve -2*h + o*t = 15, y*h + t = -4*h + l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 23. Let j be (-6)\/33 + (-6)\/(-33). Suppose -2*s - 11 - 11 = j. What is the tens digit of l(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.06 in -3\/7, 0.25, -2\/5, 1\/11, 0.01?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*m**2 - 15*m**2 - 91*m**2.\nAnswer: -131*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5.8 and 124.\nAnswer: 719.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -40 * 0.19802.\nAnswer: -7.9208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q + 1. Let x be z(1). Let r be x*5*(0 - 1). Let w = 7 - 3. Which is the closest to 0.1? (a) 0.2 (b) r (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by -1 + -1 + 3 - -2 - -32.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11141 - -20?\nAnswer: 11211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 731 + -312?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 - 11. Let j(g) be the second derivative of -g**5\/20 - g**4\/2 - 2*g**3\/3 + 3*g**2\/2 - 4*g. Give j(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ip when two letters picked without replacement from xixaiaiapiinxippppaa.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4368)\/(-10920)*(-5)\/(-12)*20\/6?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 0.1, 91, -0.172, -3 in decreasing order.\nAnswer: 91, 0.1, -0.09, -0.172, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 3*g - 5*g + 3*g. Let p(k) = -5*k**2 - 18*k + 9. Let a(l) = 3*l**2 + 8*l - 4. Let q(c) = -9*a(c) - 4*p(c). Give r(q(u)).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/19 (b) -0.28 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2*346\/(-560) - (3 - (-21)\/(-5))\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -64*l**5*w + 423*l**4*w + 938*l*w - 4*l - 2*w - 3 wrt l?\nAnswer: -1280*l**3*w + 5076*l**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0494 + -4.2694. Let v = n + -1.57. What is v rounded to one dp?\nAnswer: -5.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 58317 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5035975 to the nearest integer?\nAnswer: 2244","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -73726, -147448, -221172, -294898, -368626, -442356, -516088?\n\"Answer: -f**2 - 73719*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + -19. Suppose l - y = -l - 4, 4*l = -4*y - 32. Does 10 divide 49\/n + (-3)\/l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 301 (base 4) to base 3\nAnswer: 1211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02655 rounded to three decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-6))\/(2*(-4)\/48)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 9:37 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 957 = -436*s + 469*s. Suppose 3*h - 315 = 204. What is the remainder when h is divided by s?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-580)\/14 - (-735)\/1715. Put 4, o, 12 in descending order.\nAnswer: 12, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 8*h**2 + 2*h - 5. Let z be r(7). Let f be 1\/6 - 395\/(-6). Let a = f + z. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.08 - 3.08. Let d = 3.96 + 0.04. Let v = 2 - d. Sort v, -0.5, z in ascending order.\nAnswer: z, v, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 33, 25, 5, -33, -95?\nAnswer: -187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 82206989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*s + 7*s**3 + 8*s**3 - 6*s**3 - 23*s.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -4*d**2. Let l(t) = -2*t. Let b(w) = -85*w. Let x(y) = -b(y) + 51*l(y). What is x(m(s))?\nAnswer: 68*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1362601 is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w = -4*z + 11*w + 32, 2*w + 8 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**2 - 4*m + 11. List the prime factors of d(-5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-179723)\/6782 - (2 + -8 - (1 + -2)))?\nAnswer: -43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 23*o + 150. Give j(-5).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o + 2. Let n be x(1). Suppose -4*r - n*d + 387 = 0, -5*r + d + 502 = 42. List the prime factors of r.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uiiffu. Give prob of picking 1 i and 1 f.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57069?\nAnswer: 3, 17, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**3 - 5*h**2 - h - 3. Let m(n) = -4*n**3 - 6*n**2 - n - 4. Let c(g) = 4*m(g) - 5*y(g). Let d be c(1). Let k be d\/(830\/492) + 17 + -20. Is 0 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 4*p + 237 = 41, -251 = -4*i - 5*p. Suppose 0 = -4*o + 40 + i. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.0166 + -0.0166. Which is the closest to 0? (a) -5 (b) 2\/17 (c) y (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 7*s**2 + 8*s - 2. Let d be u(8). Let z = -81 + 485\/6. Which is the third biggest value? (a) -0.1 (b) d (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21472 (base 16) in base 12?\nAnswer: 66a6a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.06, -3, 0.01, 1, 12, -0.126, -2?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*t - 3710*t + 497*t.\nAnswer: -2825*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -c + 2*c + 4, n + 13 = 5*c for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3\/2 + 11662*z**2 + 23326*z.\nAnswer: -z*(z - 23326)*(z + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/8*1*4)\/1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -29*h + 6. Let k(n) = -59*n + 13. Let w be -39*(-14)\/(-42) + 7. Determine w*k(o) + 13*d(o).\nAnswer: -23*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2 + 8*v + 3. Let r be m(5). Suppose -4*a - 6 = -r. What is the lowest common multiple of 16 and (-80)\/6*(a - 84\/20)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -5*x**3 - 34*x**2 + 736*x - 28. Determine l(-16).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 13 = 2*n. Suppose 4*u - n*t - 424 = 0, 3*t + 84 - 646 = -5*u. Calculate the highest common divisor of u and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6385464231 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -185*r - 920. Let q be b(-5). Sort 3, 1, -47, q in increasing order.\nAnswer: -47, 1, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3530*p*r - 82*p - 561686*r wrt p.\nAnswer: 3530*r - 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 26 + (0 - 2) + -1. Let h(r) be the first derivative of r**3\/3 - 7*r**2\/2 - 21*r - 39. Let j be h(-12). Calculate the highest common factor of j and z.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*f + 3. What is the remainder when f is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -2. Let n = r - -6. Suppose -3*u + n*g - 5 = 0, -5*g = -u - 19 + 4. Is 2 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/3)*l)**(5\/9))**(-1\/18) assuming l is positive.\nAnswer: l**(-25\/486)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u + 12. Let v be w(-8). Suppose 3*n = -4*r + 1 - 4, -v*r - 4 = 4*n. Let m = n + 3. Sort m, -0.9, 0.1 in increasing order.\nAnswer: -0.9, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 5*d = -37967, -4*d = 5*s - 4*s - 12633. Suppose -9772 - s = -7*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v = 4*v + 2*b + 517, -v + 5*b = -155. Suppose -19*z = -21*z + m + 67, 5*z = 5*m + v. Calculate the greatest common divisor of z and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -50. Suppose 6*r - 5 = -i. Is r at most as big as -1\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of a**4\/12 + 5*a**3\/6 + 3*a**2 - 4*a. Let l be d(-2). Let u = l + 4. Calculate the greatest common divisor of 28 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y + 34*y = 84*y + 153 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 15, -3*y + 9 = z - 6. Suppose 2*p + 8 - 18 = z. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 12:06 PM?\nAnswer: 4:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 54 - 39. Suppose 14*q = i*q. Suppose 14*g - 10*g - 24 = q. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-27)*g**7)**(-14))**(-50) assuming g is positive.\nAnswer: g**(-13300)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-3\/2)\/a)\/(a*a**(-1\/6)*a*a))**3\/(a\/a**(-5)*a**(-1\/2)\/a*a)**(-16) assuming a is positive.\nAnswer: a**72","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 18 = 2*c, 2*c + 12 = 2*j + c. Let l = 61 + -33. Suppose 3*s = -j + l. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22413 or -70.6?\nAnswer: -22413","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -747 or -753?\nAnswer: -753","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 20 + 40. Is b a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 601*w + 2943. Does 65 divide v(18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-12)*(-476)\/(-2499)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -4*x - 36. Let y = -4 - x. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*(1 + (-6)\/4). Let h = 2.03 - 2. Let u = -0.27 - h. Which is the second biggest value? (a) z (b) u (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*n + 114 = 0, -5*a - 47 = 3*n + 111. Which is greater: -35 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -10*m. Let o(u) be the second derivative of -1\/6*u**3 - 3\/2*u**2 + 0 + u. Let r(d) = -d - 4. Let y(j) = -4*o(j) + 3*r(j). Give l(y(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 3*133\/(-42)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*y + 136466 = -114964. Let c = y + -103979\/12. What is the common denominator of 57\/10 and c?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = n - 116, 2*w + 604 = 5*n + 4*w. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3800, 30404, 102608, 243212, 475016, 820820, 1303424?\nAnswer: 1945628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 8295.37 and -44783.\nAnswer: -36487.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 103, 0.21.\nAnswer: -3, 0.21, 103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 23, -5, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + 0 + -5 + 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s**2 + 10 - 11*s + 60*s - 50*s - 2*s**3 as g*s + h*s**2 + u*s**3 + b and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4649 + -4645. Solve b*k + 5*s - 2 = 0, 2*s - 8 + 15 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 15816.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7423.\nAnswer: 13, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 2*h**2\/7 + 332*h\/7 + 13778\/7 = 0.\nAnswer: -83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(2\/5)*d*d*d\/(d**(-3)\/d*d)*d**(-3)\/(d\/(d*d*d\/(d**6*d))) assuming d is positive.\nAnswer: d**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5\/4 - 147*i**4\/4 - 1651*i**3\/4 - 4173*i**2\/4 + 413*i + 1080 = 0. Calculate i.\nAnswer: -135, -8, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7, -100, -361, -874, -1723?\n\"Answer: -14*n**3 + 5*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1011101001111100110 (base 2) to base 3\nAnswer: 201101220102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -610436 + 45?\nAnswer: -610391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*x + 30*x + 46864 - 44796 = 0 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/6*1\/((-6)\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 - 40 = -6*m. Solve 4*k - m + 0 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 19 + (2 - (1 + -4)) + -22?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12956 - 12956. Which is the closest to j? (a) 7 (b) -5 (c) -2\/17 (d) -1.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 64571, -7, 5 in decreasing order.\nAnswer: 64571, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-24)\/n**11 assuming n is positive.\nAnswer: n**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**3 + 13*b**2 + 12*b + 22. What is m(-13)?\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3 - 42*u**2 - 2640*u - 5096 = 0. Calculate u.\nAnswer: -26, -2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -37*j + 40*j - 9, j + 141637 = 4*w. What are the prime factors of w?\nAnswer: 2, 5, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gxmmmmxxmg. Give prob of sequence mmmm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -574 + 1078. Let d = 112 - p. List the prime factors of d\/(-24) - 2\/(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 + 4. Let c = m + 3. Let q = -6.4 + 6. What is the second biggest value in q, c, -1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*r = -7*r - 23, 2*l - 4*r = -2. Let i = l + -7. Suppose 3*u = -i - 3. Are u and -3\/2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 w when three letters picked without replacement from {y: 2, p: 1, e: 2, w: 1, m: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkokhohkknh. Give prob of sequence kkko.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 3\/7, 0.110503, 53?\nAnswer: 0.110503","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -8725 (b) -0.4 (c) -2\/17 (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(6\/819) + -1. Suppose 1 + 4 = s. Suppose 107 = -s*b + p. Calculate the highest common factor of 3 and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 2403?\nAnswer: -2343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30259273?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 497*w**3 + 21*w**2 - 2*w wrt w.\nAnswer: 2982","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -8*b + 75. What is v(13)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49 - -47. What is the closest to 2 in z, -0.1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m - 15. Let a(n) = 2*n - 8. Give -11*a(v) + 6*x(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3*d - 12. Let m be (-3 + -2)\/((-3)\/3). Suppose o - 37 = 4*u, -8*o + 5*o - m*u + 43 = 0. Calculate the remainder when o is divided by g(-8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4113 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 18*o**3\/7 + 446*o**2\/7 + 332*o\/7 - 96\/7 = 0. Calculate o.\nAnswer: -24, -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r - 7. Let w(x) = x + 1. Let f(g) = -o(g) + 5*w(g). What is the units digit of f(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 2*k - 3*k = -305, 5*k = 5*c - 370. Suppose 4*d - 177 = c. What are the prime factors of d?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 8)*(0 - 1 + 3)*(3 + 0 - 1)*(180*n**5 + 2*n**2 - 369*n**5 + 190*n**5 + 3*n).\nAnswer: 40*n**5 + 80*n**2 + 120*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 11:52 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -15*l**4 + 2130*l**3 - 3*l**2 + 56601510 wrt l?\nAnswer: -60*l**3 + 6390*l**2 - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36302 - 1433?\nAnswer: 34647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8216741 microseconds in seconds?\nAnswer: 0.0000008216741","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnmpkkpmkkkp. Give prob of sequence mk.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3\/7 + 2*o**2 - 88*o\/7.\nAnswer: 2*o*(o - 4)*(o + 11)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*r = 9 - 20 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.38 - -0.48. Is 21 < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.042 - -73.042. Let a = 76.9 - n. Let p = a + 0.1. What is the second smallest value in p, -4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 4*b + 232 = 0, 52 = 364*x - 363*x - 2*b. What is the remainder when 738 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157*s - 23*s + 201*s - 39530 = 0. What is the remainder when 10499 is divided by s?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:20 PM and 10:47 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(144))\/(2*sqrt(8)*-3).\nAnswer: -sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*(-2)\/(-18))\/((-4)\/(-6)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1400)*-3 - sqrt(1400)) + -3*(sqrt(1400) - (sqrt(1400) - -1*sqrt(1400))))\/(sqrt(8)*1*-2 - (sqrt(8) + -2*sqrt(392))).\nAnswer: -20*sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 395 - 353. List the prime factors of j.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*q - 2*f - 882 = -28*q, 0 = q + 3*f - 224. Suppose -17*o + q = -85. Solve 2*r + 4*r = -o for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**14*y\/(y*y*y**(5\/6)) assuming y is positive.\nAnswer: y**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62.407 + 7.663. Let h = s + -70. Put h, -5, 2 in decreasing order.\nAnswer: 2, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 313*g + 248*g - 76*g + 43*g.\nAnswer: 528*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -55.07 to zero dps.\nAnswer: -55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) 2\/9 (b) -928 (c) -16 (d) -3\/4 (e) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1414195.368 to the nearest one hundred.\nAnswer: -1414200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 51. Suppose 40 = 5*w - 5*o, -h*w = 8*o - 4*o - 10. Solve 2*b - y + 2 = 0, -b + 2 = 2*y - w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2899155\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(119)*2 - sqrt(119)) + sqrt(119))*6*-3*4)\/((-4*(sqrt(280)\/sqrt(5) + sqrt(56)))\/(sqrt(8) + sqrt(128)*2 + sqrt(8))).\nAnswer: 180*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -35. Let b = 17.5179881 + 0.4820191. Let l = s - b. What is l rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 563 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/6)\/(6\/9). Factor -2*l - 2*l**b - l**2 + 5*l**2.\nAnswer: 2*l*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) + (1 + sqrt(275))*6)**2 + 2.\nAnswer: 420*sqrt(11) + 13513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2094900 and -3.6894.\nAnswer: 2094896.3106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 6*j = 11*j + 370, 5*a - 380 = 3*j. Calculate the remainder when 231 is divided by a.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*7\/(-13*25\/325).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0, 11.17909?\nAnswer: 11.17909","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 9*x**2 - 11*x + 11. Let r be z(10). Let g be (-2*(-57)\/6)\/r. Let v = 34 - g. Solve -5*b + v + 5 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -1.53 (c) 0.022 (d) -115 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -130942300 rounded to the nearest 100000?\nAnswer: -130900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-50)\/(-40) - 9\/12. Factor 0 - 1\/2*k - u*k**2.\nAnswer: -k*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5040) - -1*sqrt(5040)*6) + sqrt(5040) - sqrt(5040) - sqrt(5040))\/(sqrt(25)\/((sqrt(5) - (sqrt(5) + sqrt(500) + sqrt(500)*-2)) + sqrt(5))).\nAnswer: 792*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -5483*w. Let k(x) = -3167*x**2 + 2. Give j(k(l)).\nAnswer: 17364661*l**2 - 10966","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 6) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 11381*a + 3067. What is the units digit of y(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1270*d = -130132 + 61552 for d.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*x = 7. Solve x*w - 2*w + 5 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*k*t**2*y - 3*k*t**2 + 4*k*t + 15*t**2*y**2 + 57*t*y + y**2 wrt t?\nAnswer: -12*k*y - 6*k + 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000800380956 to 7 decimal places.\nAnswer: -0.0008004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/152*(-931)\/294?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*g = -609, 0*g = -4*x + 2*g + 606. Does 30 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phul when four letters picked without replacement from {l: 1, p: 2, u: 1, s: 1, h: 1, o: 1}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/10*4*5. Let l = 1.6 + 1.4. Which is the biggest value? (a) -5 (b) x (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -653*x + 3 - 1 + 595*x - 2.\nAnswer: -58*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -905420, -905428, -905440, -905456, -905476, -905500?\nAnswer: -905528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3*m**3 - 8*m**2 + 6*m*t - 2*m - 2059*t wrt m.\nAnswer: -9*m**2 - 16*m + 6*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 434\/124*(-12)\/(-350)*10\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19050 - 10309. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/5173 and 7\/2956.\nAnswer: 20692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 divided by 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -10. Let k = -0.55 - -1. Let q = k + -0.95. What is the second smallest value in h, 1\/10, q?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.26? (a) -0.5 (b) -1\/4 (c) 5 (d) -0.1 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**2 + 11*y - 20. Let h be k(9). Let n be (1\/3)\/(h\/6). Let v(q) = 6*q**3 + q**2. Let s be v(n). Sort -3, 0, s in decreasing order.\nAnswer: 0, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*n - 7271 - 1444. List the prime factors of n.\nAnswer: 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -5*q - 3*t - 362, -4*t - 420 = 5*q. Let n = 96 + q. What is the lowest common multiple of 14 and n?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -503 + 498. Is 90266\/22 - (-6)\/(-2) - g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5824 + 4855. Is c a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 873476 divided by -1\nAnswer: -873476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -x - 2, g + x = 4 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116 + 128. Suppose -3280 = -4*f - m*f. Suppose 0 = -21*z + 16*z + f. Is 19 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/(-9) + 11\/3. Let r(k) = 65*k - 2664. Let g be r(41). Put g, -2, a, -1 in decreasing order.\nAnswer: a, g, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 16*b + 16*b + 330 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (10\/(-40) - 67\/20)\nAnswer: -13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31350947?\nAnswer: 31350947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (87 + -90)*10\/4*(-40)\/75. Let b = -9 + 9. Solve -o + s*o = -k - 17, o + 5*k + 29 = b for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of -i**6\/10 + 9*i**5\/10 - 13*i**4\/4 + 6*i**3 - 6*i**2 - 4*i - 25. Let m(r) be the first derivative of q(r). Factor m(s).\nAnswer: -3*(s - 2)**2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(2 + 6)*850. Let p be (-1 - (-2 + 4))\/(51\/(-425)). What is the highest common factor of j and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2913 - 1420376.\nAnswer: -1417463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16888?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + -6*(sqrt(1008) + 0))**2 + 5 + (-3*sqrt(448) - (sqrt(700) + 0)**2).\nAnswer: -24*sqrt(7) + 24505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 8, g: 6, a: 3}. Give prob of sequence ggg.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5518 and 16432426?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 8*m - 12. Let h be t(8). Let x(s) = -s**2 - 14*s + 4. Let i be x(-15). Is h < i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 62.\nAnswer: -6.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**3 + 18*o**2 - 23*o - 20. Let t(d) = 13*d**3 + 71*d**2 - 93*d - 81. Let n(y) = -9*j(y) + 2*t(y). Let i be n(-21). Solve -i*f + 15 = -23*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13)\/(((-4386)\/(-344))\/51)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4100, 4082, 4064, 4046?\n\"Answer: -18*f + 4118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16247 or -16246?\nAnswer: -16246","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 11*h. Let q be 57\/228 + 62\/8. Calculate u(q).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h**(-4)*h**(2\/9)\/(h\/(h*h**(-5))*h))**(-21\/4) assuming h is positive.\nAnswer: h**(1057\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10011 (base 2) to base 13\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 718 + -818. Let l = m - -115. What is the smallest common multiple of 12 and l?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46178655546*t - 46178655542*t + 6*t**3 + 12*t**3.\nAnswer: 18*t**3 + 4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 4 + 323*j**2 - 321*j**2 + 25*j.\nAnswer: 2*j**2 + 25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -23675*p**3 + 30*p**2 + 27*p - 4. What is the units digit of o(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, j: 3, q: 2, k: 3, a: 2, o: 1}. Give prob of sequence qjo.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 1158 = -4*l - 1038, 0 = 4*l - 27*l - 3*x + 633 for l.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -35.819 + 35.569. Which is the third biggest value? (a) x (b) 0.67 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**3 + 108*y**2 + 792*y.\nAnswer: -4*y*(y - 33)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 12:49 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*q**2 + 59337*q + 1663788.\nAnswer: -3*(q - 19807)*(q + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**2 - 9*n - 22. Let r(b) = 5*b**2 + 44*b + 110. Let m(y) = -11*c(y) - 2*r(y). Let p be m(-10). What is the hundreds digit of 206*2*(9\/p)\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 10 + -8 - (3 + -1). Suppose r - 5*r + 76 = c. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 1:59 AM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-14)\/(-98) - (2\/(-2) + 1).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from {e: 4, g: 7}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 38042 = -3*h, 34*d - 37*d - 5*h + 28537 = 0. List the prime factors of d.\nAnswer: 37, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8978 and 2091874.\nAnswer: 2091874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 987 + -1009 - (3 + 578\/(-22))\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the third derivative of k**6\/80 + k**5\/2 + 17*k**4\/4 + 16*k**3 - 2*k**2 + 14*k. Factor i(j).\nAnswer: 3*(j + 2)**2*(j + 16)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-96)\/40 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 17 = -18. Suppose 5 = t + 2. Let x be t\/(-2 - -1)*-2. Which is bigger: o or x?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 7\/3 of a day?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46912 and 9660940.\nAnswer: 2932","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.758*-9.\nAnswer: 6.822","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 31015698577 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u - 136*u**3 - 42*u**3 - 3 - u + 1 + u as c*u**2 + l*u**3 + f*u + y and give l.\nAnswer: -178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 53*a + 2. Let q be s(-2). Suppose 51*l - 14*l = 1147. Let f = l - q. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 151*c**2*y**3 - 263*c**2*y**2 wrt y?\nAnswer: 906*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y**2 + 50*y + 45. Calculate z(-12).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**2 + u + 5. Give x(5).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47a2 (base 11) to base 10.\nAnswer: 6283","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 372291592.8 to the nearest 100000.\nAnswer: 372300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 + 2*i**2 + i - 4. Let x(n) = -n**2 - 1. Let o be (-140)\/14 + (27 - 19). Give o*s(y) - 6*x(y).\nAnswer: -2*y**3 + 2*y**2 - 2*y + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -603299\/54 - -11172. Calculate the common denominator of v and 21\/256.\nAnswer: 6912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*(-180)\/(-150)*160\/(-44).\nAnswer: -48\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z + 9*z + 5*z + 3*z.\nAnswer: 14*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2428682 and 299342.\nAnswer: 3086","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 48*s**2 + 107*s**2 + 4 + 3 - 3. Is z(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442377 is divided by 147450?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*(-20*11\/660)\/((-4)\/(-126)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 l when three letters picked without replacement from uulrruruurruuru.\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**2 + 3*k + 1. Let c(h) = -2*h**2 - 7*h - 2. Let i(f) = 2*f**2 - 2*f. Let g be i(4). Suppose -4 + g = -4*x. Calculate x*m(q) - 2*c(q).\nAnswer: -q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m. Let k(a) = 9*a + 6. Let j = -19 + 20. Let r(t) = -t - 1. Let y(w) = j*k(w) + 6*r(w). Determine y(u(q)).\nAnswer: -9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2819 - -0.281905907. Round v to seven decimal places.\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**4 - 5*d**3 - 25*d**2 - 15*d.\nAnswer: 5*d*(d - 3)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2 (b) 3.4 (c) -3\/7 (d) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 50.67 and -1.9.\nAnswer: 48.77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -51 - 1 - (-15483 + 15470)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 57.66 + -58. Let p = -0.26 + z. Sort 2, p, 0.3 in decreasing order.\nAnswer: 2, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 699968 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0.024 times 1959.7\nAnswer: 47.0328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 12343?\nAnswer: 12344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -239727149?\nAnswer: -239727154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -93, -116, -139, -162?\nAnswer: -185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 894 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p - 52. Let i be m(-11). Suppose -2*s + 17 = -i*z, 4 = s - 2*z - 5. Solve 5*k - 25 = 5*r, 6 = 5*k + r - s for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1355129?\nAnswer: 1355129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 5)*(-4*g + 5*g + g)*(-6 - 1 - 4)*(-2*g**2 + 0*g**2 + 0*g**2).\nAnswer: -176*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 708?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vroy when four letters picked without replacement from {r: 1, y: 3, p: 4, o: 5, n: 1, v: 3}.\nAnswer: 3\/3808","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -650 - -653. Suppose -4*a + 7 = -n, 16*n - 3 = r*a + 18*n. Sort -186, a, -4.\nAnswer: -186, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s. Let q(u) = 1584*u**2 - 2. Give q(g(c)).\nAnswer: 14256*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of 629*n**3\/3 + 543*n**2 - 772. What is the second derivative of d(o) wrt o?\nAnswer: 1258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40592 divided by 236.\nAnswer: -172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3971913\/61050 + (-12)\/200\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**2 - 6*m. Let k be q(-5). Suppose k*g - j + 1 = -0*g, -5 = -g - 5*j. Solve -2*t + 3*t = g for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 4:48 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5635 - 362. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(104\/32)\/(-6*(-14)\/(-336))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 + -18. Let m = x - -17. Let u = 4 + m. Solve -4*a - u = 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 10:13 PM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 372890 is divided by 339.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.1, 0, 5, -66?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -474185 + 723185. Round d to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4575?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 580438 + -119?\nAnswer: 580319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*m = 9019 - 233. What is the remainder when m is divided by 55?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 188318 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 1868144.83 rounded to the nearest 10000?\nAnswer: 1870000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 2*t = 12. Let w be t*(0 + 1\/(-2)). Suppose -w = 4*h - 5*h. Calculate the smallest common multiple of h and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9959 is divided by 243.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1908 + -1897. Calculate the lowest common multiple of g and 1200.\nAnswer: 13200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 91*u - 575. Is m(36) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -689, -690, -691, -692?\n\"Answer: -d - 688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004022917 rounded to six decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17.53 - -0.47. Let r = w - 17.9. Let b = 2 + -1.98. Which is smaller: b or r?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1134 divided by 38527\nAnswer: -1134\/38527","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6537, 13174, 19981, 27048, 34465, 42322, 50709, 59716?\n\"Answer: 15*o**3 - 5*o**2 + 6547*o - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a century in months?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/(-10)*24\/(-20)*-1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 204 and 2278428.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Is 656671 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand p + 0*p + p + 4*p + 0*p - 3*p - p + 4*p - 2*p + (-4 + 4 + 2)*(-p + 4*p - 2*p) - 6*p + 3*p + 2*p + 2 - 2*p - 2 - p + 5*p - 2*p - 55*p - 47 + 91 - 44.\nAnswer: -50*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -3*a**3 - 5*a**2 + 2 + 0*a**2 - 3*a + 2*a**3. Let q be 152\/10 + 11\/(-55). Let j be 12*((-35)\/q + 2). What is l(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2191.45 and -0.5?\nAnswer: 1095.725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2.77404, -7\/79, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 4*y**2 + y + 1. Let h(q) = -552*q**3 - 903*q**2 + 6*q + 6. Let i(t) = -h(t) + 6*p(t). What is the third derivative of i(j) wrt j?\nAnswer: 3276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3282*c**2 + 3733*c**2 - 5315*c**2 to g*c**2 + p + h*c and give g.\nAnswer: 1700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/20 and -87\/88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 147*c**3 + 9*c**2 - 147*c - 9.\nAnswer: 3*(c - 1)*(c + 1)*(49*c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 162703?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**6\/6 + 355*j**4\/2 - 343*j**3 - 543. What is the third derivative of i(t) wrt t?\nAnswer: -60*t**2 + 4260","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 13 = 5*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -119466085.9 rounded to the nearest 10000?\nAnswer: -119470000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 + 2)*(-6*x**3 + x**3 + 3*x**3).\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 32 in 5, 72, 2\/11, -9, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/21 and 25\/(-24) - 2 - 1\/(18\/(-30)).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (149355\/1845 - 81)\/(2\/(-4))?\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617\/2*f - 380689\/4 - 1\/4*f**2 = 0 for f.\nAnswer: 617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2256321, 2256326, 2256331?\n\"Answer: 5*b + 2256316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -171017, -342002, -512951, -683864?\n\"Answer: 18*v**2 - 171039*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -329.3 to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 66465294 to the nearest integer?\nAnswer: 8153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/424 and -75\/44.\nAnswer: 4664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/(-45))\/(3\/10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2747 or -1.8453?\nAnswer: -1.8453","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1198 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1283876?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 10 = 4*u + 2 - 4, 0 = -4*x for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (7 - 3 - (-30 - -30)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 39*c - 3. Let n(x) = 4*x**2 + 5*x. Give z(n(u)).\nAnswer: 156*u**2 + 195*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -5. Suppose -3*z + 6*z - 3*o = l, 0 = -3*o. Suppose j - 39 = 5*m + 12, z = 2*j - 3*m - 81. Solve u + 2*u = -5*y + 5, -4*y = -4*u - j for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -200\/31 + 117338\/18197. Let l = 486 - 487. Is l at least as big as t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of -v**5\/30 + 3*v**2. Let z be 4 - (-1)\/(0 - 1). Let d(b) = z + 3*b**2 - 1 - 2. Calculate d(x(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3*((-5*sqrt(3800) + sqrt(3800) - sqrt(3800)) + sqrt(3800)))\/(2*sqrt(162) - -2*sqrt(162)).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123.3583 - -462.341. Let y = 339.0731 + -0.0731. Let q = y - o. Round q to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**2 - 74*k + 889. Let f be g(59). Let w(r) be the first derivative of 0*r**3 + 16*r - 15 + 0*r**2 + 7\/4*r**f. What is the derivative of w(t) wrt t?\nAnswer: 21*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -7, -2, -6 in ascending order.\nAnswer: -7, -6, -2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 37574?\nAnswer: 37575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 10598 = 2*o + 125987, 5*i + 2*o = 136585. List the prime factors of i.\nAnswer: 59, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9143113*c**3 + 15835510 wrt c.\nAnswer: -27429339*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1095 - 1095 - 22*o)*(63 - 16 + 3).\nAnswer: -1100*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-3 + (-46)\/(-16))*(43 + -77)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176779051447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2741340361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of 5*o**6\/6 - o**5 - 15*o**4\/4 + 5*o**3\/3 + 5*o**2 + 12. Suppose r(s) = 0. What is s?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 + 15*y - 28*y + 15*y. Let o(h) = -5*h**3 - 2*h**2 - 2*h. Let r(j) = -j**3 - j**2 + j. Let x(a) = o(a) - 3*r(a). Calculate 5*w(f) + 2*x(f).\nAnswer: f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -180 - (-342 - -174) - (-45 - 0).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 2*s**2. Let f(p) = -3370*p - 130 - 25 + 9 + 742*p. Let u(h) = -219*h - 12. Let v(y) = -6*f(y) + 73*u(y). What is a(v(c))?\nAnswer: 95922*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 264 and 957.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**5 - 904*h**4 + 20388*h**3 + 66608*h**2 + 68426*h + 23112 = 0.\nAnswer: -1, 27, 428","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 492 - 515. Sort -1, -2, s.\nAnswer: s, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, l: 1, g: 2, u: 1, m: 2, b: 2}. What is prob of picking 2 m and 1 l?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*o + 4. Suppose -p - 18 = -3*h, -h + o*h - 13 = p. Let x(g) = -3*g + 5. Determine x(h).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -18*d**2 - 3*d + 5. Let j(s) = -3*s**2 + 7*s + 5. Let f(u) = -4*u**2 + 9*u + 6. Let n(g) = 4*f(g) - 5*j(g). Calculate m(h) + 3*n(h).\nAnswer: -21*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -5*u - 6. Let c be f(-4). Let n = -2148 - -10793\/5. What is the common denominator of n and (-4)\/c + 533\/28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13296 and 41136.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5936 - -6.59416. Let z = w + -6. Round z to 4 dps.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 0.1, -126 in ascending order.\nAnswer: -126, -0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67 plus 791528598253?\nAnswer: 791528598252.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**2 - 3*f + 4. Let d be i(-8). Let y be (6\/(-2))\/(d\/(-24)). Let o be 3\/y + 3\/6. Is 1\/5 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 g when two letters picked without replacement from {c: 1, g: 1, h: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**2 + 139779*f - 279546.\nAnswer: -3*(f - 46591)*(f - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/192 and 49\/128.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -147 - -355. Let j = 243 - y. Which is the closest to 1? (a) -0.2 (b) -6\/11 (c) j (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 345490541 is divided by 1889?\nAnswer: 1886","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3\/2, 3\/2, 2\/7 in ascending order.\nAnswer: -3\/2, 2\/7, 3\/2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -14*o**2. Let j(f) = -1588819*f. Give j(a(v)).\nAnswer: 22243466*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -564 and 0.31.\nAnswer: -563.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 112667833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -f + 2 - 0, 8 = -4*y - 4*f. Is -6\/11 bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 6 = 10*f. Suppose 3*v - 5*v = f*v. Suppose v = 7*i - 491 - 34. List the prime factors of i.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32816 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = c - 4*t - 3 - 8, -11 = -5*c - 2*t for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c - 5*f = -20*c + 28, c - 12 = 3*f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4110, -16423, -36942, -65667?\nAnswer: -102598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -19*l + 4. Let h(n) = n + 2. Let g(z) = 2*h(z) - v(z). Let w(y) = -4*y**2. What is w(g(f))?\nAnswer: -1764*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40034431 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 37 (base 9) to base 7\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g + 500309221 - 500309221.\nAnswer: -g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -6*l - 1. Let i be r(-5). Let m(d) = 2*d**2 - 16*d + 12. Let u be m(10). Let x be 1\/(-2)*u\/(-13). Solve w - i = v + 4*v, -w + 14 = -x*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42466 to the power of 1\/2, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 15.336 greater than -6.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 198, 409, 626, 849, 1078, 1313?\n\"Answer: 3*n**2 + 202*n - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-384)\/18)\/(296\/(-222)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 0*w + 2*w)*((5 - 2 - 4)*(w + 0*w + w) + 2 - 2 - w - 2*w + 6*w - 2*w)*(1 - 1 - 2*w).\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifrjitk. What is prob of picking 1 t and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2 = -94. Let x = t + 50. Solve 0*r - 6 = -x*f + r, 3*f - 5*r - 13 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v + t - 15, -v + 5*v + 2*t = 18. Let a = -29 - -18. Let q = -7 - a. Solve -q*i = 4*d, 0*d + 15 = 2*i - v*d for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 270 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of 31*t**5\/10 - 3*t**4\/4 + 11*t**3\/3 - 43*t**2. What is the units digit of f(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11243147 rounded to the nearest one thousand?\nAnswer: -11243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -345 + 357. Let z(v) = v**3 - 12*v**2 + 28*v + 5. What is the tens digit of z(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 - 47*d + 528. Give n(27).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062107 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/9 and 278\/(-42)*(-175)\/(-150)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7289 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 + 11 - ((17 - (-61 + -2)) + 18)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((1 - -1) + -2)\/2. Suppose 36 = 3*y - v*y. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -179 - -54. Let m be (-448)\/(-6)*(2 - -1). Let b = m + w. What is the highest common factor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 224 and 125952?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3238*d - 3 + 3009*d - 6246*d + 3 + 6*d**3.\nAnswer: 6*d**3 + d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1698 divided by -6?\nAnswer: 283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18*x - 4*x + 2*x - 1)*(0 + 2 - 1)*(9*x**2 - 3*x**2 + x**2).\nAnswer: 112*x**3 - 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20565 = 11*n - 20477 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*b + 888 = 68*b. Let l = -275 + b. Solve -4*c + 41 = l for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 14 + 13 + -6 + -11.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.5863 - -142.4137. Which is the third smallest value? (a) 1.4 (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 7. Suppose -6 + 3 = -b*s, 0 = z - 5*s + 2. Factor 8*i**2 + 0*i - i + z*i.\nAnswer: 2*i*(4*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 - i**2 - 3. Determine r(-2).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 h when four letters picked without replacement from {h: 3, q: 1, x: 5, y: 7}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16156 a factor of 7033855420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -285 - -285.2. Which is the closest to s? (a) 9 (b) 4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 - -19. Let c be ((180\/25)\/6)\/(27\/80). Let 58\/9*f**2 + c*f**x + 40\/9*f + 2\/3*f**4 + 8\/9 = 0. What is f?\nAnswer: -2, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = f - 2*s - 8, 0 = 3*f + 2*s - 5*s - 18 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.5 (b) -0.274 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*f**2\/7 - 2605704*f\/7 - 424355833476\/7.\nAnswer: -4*(f + 325713)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 91268*s**3 + 1602*s**2 - 276492163*s.\nAnswer: 547608*s + 3204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110\/(-418)*14\/35?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1443.7ng to grams.\nAnswer: 0.0000014437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of -a**6\/120 + 7*a**5\/60 - a**4\/24 - a**3\/3 - 14*a**2. Calculate the remainder when n(4) is divided by ((-11)\/2)\/((-2)\/8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 3, 2, 2\/7, -482, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = m + 18, 3*m - v = 2*m. Let c = m - -4. Solve -c = -d + 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -16b8 - -4?\nAnswer: -16b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*m - 17 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*m**2 + m**2 + 21*m**2.\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -502054 and 0.337.\nAnswer: -169192.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9881\/8 + -118471\/56. Let h = 879 + i. Which is the second smallest value? (a) h (b) 2 (c) 4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (6 - 3) - 1. Suppose -3*d = h*a + 54, d + 2*d + 50 = -5*a. Let l be (-16)\/(-10) + (-8)\/d. Solve l = -3*y + 2*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979454851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4555363 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 9*g - 17. Let o be f(4). Let p(r) = 3*r - 54. Let d be p(o). List the prime factors of (272\/2 - (-8 + 11)) + d.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(13)) - sqrt(13)*2*2) + 1 + -2*(sqrt(13)*-2 - sqrt(13)).\nAnswer: -2*sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -125540532 divided by 51012\nAnswer: -2461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of 17*h**2 + 0 + 0*h**3 + 0*h + 0*h**4 + 23\/30*h**5 + 0*h**6 - 1\/14*h**7. What is the third derivative of t(r) wrt r?\nAnswer: -360*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/2 + 64855*k**3 + 4234352757*k**2\/2 + 913863114430*k + 99276252314978.\nAnswer: (k + 218)**2*(k + 64637)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + (44 - 18) + -35?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20000 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 the product of 0 and 26086012?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-30))\/h)\/h**(-1\/26) assuming h is positive.\nAnswer: h**(-779\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - 1.3. Let i = 0.3 + -0.3. Let w = u + i. Which is the biggest value? (a) -2 (b) 1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 100010110110?\nAnswer: 100010110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/2570309 or -1?\nAnswer: 2\/2570309","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93562 - 636439295.\nAnswer: -636532857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*43\/(-43) - -7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and 16.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57540 and 30133698.\nAnswer: 301336980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0*b - 4*b, 0 = -4*b - u. Suppose b*q - 5*h - 1 = -q, -h = -2*q + 2. Solve 0 = -0*y + y + q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - i = -0*i + 8*u + 33, i + i = -5*u - 10 + 1 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -4048700 to the nearest 10000.\nAnswer: -4050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-117)\/63 + 2\/(-14). Suppose -2*k = 4*q - 8*q - 10, 0 = -5*q + 3*k - 15. Let o = i + q. What is the biggest value in o, -2\/7, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6893 and 1695.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 699256045.\nAnswer: 5, 139851209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -17*q**2 - 2*q + 7. Let n(h) = 18*h**2 + 2*h - 6. Calculate -4*n(s) - 3*r(s).\nAnswer: -21*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1030422 to the power of 1\/3, to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 6*w**2 - 6*w + 4. Let v be y(-7). Let c = 2406 - 2402. Sort -2, -4, v, c.\nAnswer: -4, v, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) - sqrt(275)*2) + 1 - (-5 + (0 + sqrt(275))**2) - -4*((sqrt(275) - (sqrt(275) - (-2 + sqrt(275)))**2) + -5))*-3*-5.\nAnswer: -4575 + 225*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 968576 to the nearest integer?\nAnswer: 984","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3688 + 3698. Solve 0 = j*i + 234 - 284 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*r + 82*r + 22*r)*(-3*r**3 - r**2 + r**2).\nAnswer: -468*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*((sqrt(130) - -1*sqrt(130)*-5)\/sqrt(10) - (sqrt(78) - (sqrt(78)*-1 + sqrt(78))*-1)\/sqrt(6))*-6*5.\nAnswer: -3 + 450*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 29 = -0*v - v, -v - 30 = -5*p. Let l = -5 - v. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -14?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 393828464 + 1?\nAnswer: 393828465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14963 is divided by 62.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 2. Let b be u(-5). Suppose -10 = -b*p + 2*p. Which is bigger: -2\/5 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22290 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2 + 16\/(-7) + (-215)\/(-91) and -32\/3.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + u = 4290, -b - b + 2136 = 5*u. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5472 rounded to two decimal places?\nAnswer: 0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 237 and 201?\nAnswer: 15879","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (7\/((-420)\/(-135)))\/((-3)\/(-84)) and 87?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + -15503045126.14.\nAnswer: -15503045126.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -5*n + 3*q - 25, 4*q = -4*n + 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i and 1 y when four letters picked without replacement from {i: 3, y: 5}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -805384, -3221385, -7248054, -12885391, -20133396?\n\"Answer: -805334*q**2 + q - 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -27*b + 46 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2*y - 8 + 1 = 0, 1 = -5*l - 4*y. Let n(g) = 8*g - 4. What is the units digit of n(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70 or 65?\nAnswer: 70","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2\/(-9))\/(112\/4494) and -103\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10653725965 and 0.2.\nAnswer: 10653725965.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n + 4*n = 20. Let z be (-2 - n\/3) + 21\/9. Let g(c) = 6*c - 6 - 48*c**2 - 52*c**z + 99*c**2. Calculate g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -da?\nAnswer: -d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/40 + (1\/6 - 1)*(-16947)\/8070.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1711*d. Let n(c) = 165*c + 4. Determine w(n(m)).\nAnswer: -282315*m - 6844","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 112 = -22. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 10*l + 21. Let z be (-7)\/56*-8 + -3 + 0. Let a be y(z). Solve 2*k - 1 = a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a millennium in decades?\nAnswer: 24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 591, 2395, 5405, 9621, 15043, 21671, 29505?\n\"Answer: 603*c**2 - 5*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 347897 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -2, 2\/3, 2394 in ascending order.\nAnswer: -2, 2\/3, 4\/5, 2394","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 AM and 10:45 PM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 5 - (141 - 139).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 0 + k**4 - 1 - 4 wrt k.\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5453246 and 22922.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 638636146?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101313200 - -11?\nAnswer: -101313134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in thirteen quarters of a kilogram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 238 and 28?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -4*u**4 + 108*u**3 + 356*u**2 - 3708*u + 3248 = 0.\nAnswer: -7, 1, 4, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -4*a + 1. Let d be r(-1). Let h(w) = w**3 - 11*w**2 - w + 4. Let v be h(11). Let k = v + 12. Solve -d*c - 1 = 2*t - 19, -5*c + 30 = k*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 18 = 2*o, -o + 6 = -p - 3*o. Suppose -j + 3*j - p = 0. Suppose -4*k + 445 = z, 0*k + j = -k. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-10) - (-624)\/(-1040). What is the closest to 1 in c, 5, -0.3, 26?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7793.\nAnswer: 7793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hv when two letters picked without replacement from {h: 1, n: 2, v: 4}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-35)\/(-7) + (-2)\/1216*2283. Let w = c - -3\/608. Factor -2*z**3 - 1\/4*z**5 - w*z**4 + 0*z - z**2 + 0.\nAnswer: -z**2*(z + 1)*(z + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -158 to the nearest ten.\nAnswer: -160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -28. Suppose 10*t + 40 = f*t. Solve -m + t*m + 21 = 5*h, h + 2*m = 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - (-1)\/(3\/15). Let m be (-3*3 + 1)*(-96)\/(-192). Sort m, -9, w, -3 in increasing order.\nAnswer: -9, m, -3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/7 and -1.11 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 - 17*j + 37. Let t be i(16). Solve -2*r + 2*q = 2, -3*r + 1 + t = 2*q for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -385*k + 11172. Calculate v(29).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -200.7 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*f**4 + 0*f**2 - 1\/2*f + 0 + f**3 - 1\/2*f**5 = 0. Calculate f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 882\/540 + (-4)\/5.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -40370.\nAnswer: 2\/20185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 35219368?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 91.34003 meters?\nAnswer: 91340030000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**3\/3 - h**2\/2 + 50*h - 1. Let t be b(0). Suppose 5*g - t = -3*w, -3*w - 2*g + 13 + 25 = 0. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, k: 1}. What is prob of picking 2 g and 1 k?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4\/14)\/(-6*3\/(-126)). Factor -1\/4*b**l - 1\/4*b**3 + 0 + 0*b.\nAnswer: -b**2*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + -0.4. Suppose 3*a - 5*b + 2 = -4, a - b = -2. Let d be ((-20)\/200)\/(a + 36\/15). What is the third smallest value in t, d, -2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 3*m. Let i = 104 + -102. Let o(c) = -c**i + 4*c**2 + 8*c**2. Determine n(o(q)).\nAnswer: 33*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + -100?\nAnswer: -10110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -3 - 10*i**2 + 4*i + 15*i**2 + 5. List the prime factors of j(-2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*a - 2*a**2 + 49*a - 3*a + 88*a to the form w + d*a**2 + j*a and give j.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1655.\nAnswer: 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/136 and -5\/4?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -303 divided by -28\nAnswer: 303\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 90 and 170214?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, d: 1, w: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1868 = -19*f - 10437. Let y = 445 + f. Let h(k) = -2*k - 10. Let c(r) = -2*r - 11. Let g(n) = 4*c(n) - 5*h(n). What is g(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 5. Let r = 7 + j. Let w be (2\/(-4))\/((-1)\/2). Are w and r non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44643 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 378309239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -25\/3?\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82.84849 millennia to years.\nAnswer: 82848.49","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 84312370 to the nearest ten thousand.\nAnswer: 84310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 3:07 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand s + 0 + 0 + (2 - 1 + 1)*(5*s - 3*s - 3*s) + 2*s - 3*s - s - 2*s + 0*s + 4*s + 7 - 7 - 4*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 302 divide 280256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 6*d - 69. Calculate the least common multiple of i(-15) and 21.\nAnswer: 1722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/5*(980\/(-14))\/7\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - 7*p - 13*p)*(-7 + 14 - 20 + 3*p**2 + p).\nAnswer: -60*p**3 - 20*p**2 + 260*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -203 - -1014\/5. What is the closest to -3 in a, 2\/13, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*o + 53*o - 913480. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -38\/7*t**7 + 0*t**2 + 0*t**4 + 7 + 0*t**6 + 0*t - 35\/3*t**3 + 0*t**5. What is the third derivative of h(f) wrt f?\nAnswer: -4560*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16220600771 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101110000001000101 - -1111?\nAnswer: -101110000000110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 PM and 2:06 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 14) to base 10\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 u, and 1 e when three letters picked without replacement from {h: 1, e: 2, f: 2, u: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -61735 (base 8) in base 7?\nAnswer: -134351","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - (-3)\/(6\/2). Suppose -2 = -3*z - n, 4*n - 3 - 5 = 0. Suppose z = 3*j + 1 - h. Put j, 2, -4 in descending order.\nAnswer: 2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l - 5. Let a be (3 + -21)*2\/4. Let u be y(a). Suppose 30 = -n + u*n. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the first derivative of -29\/4*h**4 + 1\/5*h**5 - 17 - 28*h + 29\/2*h**2 + 9*h**3. Let p(b) = 0. Calculate b.\nAnswer: -1, 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2*1*(-3)\/6. Let u be x*-2*10\/4. Let i(a) = -a - 5. Determine i(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + 1 + sqrt(2880) + 4 + sqrt(2880) + 1 + -1)*-2 + -5)**2.\nAnswer: 4800*sqrt(5) + 46705","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the second derivative of -j**4\/8 + 5*j**3\/6 + j**2 - 5*j. Let o(i) be the first derivative of b(i). Find the first derivative of o(t) wrt t.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1) + (0 - 2). Let f = -0.02 + 0.32. Let g = f + 1.7. Which is the nearest to 1? (a) g (b) j (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*k = 135*k + 95 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2910929 + 0\nAnswer: -2910929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.060019 millilitres in litres?\nAnswer: 0.007060019","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 38 = v - p, v = p + 12. Suppose 4*n = 8, 6*n = 3*b + 3*n + 6. Suppose o + o - v = b. Sort o, -2, -1 in descending order.\nAnswer: o, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-2))\/(3\/(-6)). Let x = n + 2. Let h be 4\/6 - (2 - x). Which is the second biggest value? (a) -4 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6000000 = d + d. Let s = 0 - -2. Suppose -h + d = -s*h. Round h to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2368.00108 - -2368. What is n rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**2 - 5*v - 17. What is a(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/341, -6, 1\/9, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1084 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.12 - 9.88. Let l = -15 - i. Which is the nearest to -1\/4? (a) 0.1 (b) 3\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 3\/4 (c) -20\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 179?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 675, 4, -30 in descending order.\nAnswer: 675, 4, -2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/870 and -4\/261.\nAnswer: 2610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000210388 rounded to six dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, -5, -31 in decreasing order.\nAnswer: -3\/4, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 12*r**2 - 11*r - 9. Determine o(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(1 + (10 - 12)). Are m and -1\/282 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 946 - 543 - 405 + 16*v.\nAnswer: 16*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-14))\/(18112\/126784)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-1407.\nAnswer: 422.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-642 - 0)*(-75)\/45. Is (a\/(-8))\/(7\/(-28)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(832) - (sqrt(1053) + 0 + sqrt(1053) + sqrt(1053) - sqrt(13))**2 - (-4 + 4*1*sqrt(13))).\nAnswer: -8785 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, 11, 38, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(3\/4)*z)\/((z**(1\/3)\/z*z)\/z)*z\/z**18*((z*z**4*z)\/z)\/z)**(-2\/11) assuming z is positive.\nAnswer: z**(133\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 12. Suppose -84 = -d*m - 24. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 24 - -9 - -15 - 41\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543415 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3065 is divided by 146?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 294*s + 293*s + 286*s - 1445*s + 284*s + 285*s.\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) be the second derivative of -2\/3*h**3 + 0 + 1\/3*h**4 + 14*h - 1\/20*h**5 + h**2. Give g(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7 and 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -13640, -13861, -14478, -15689, -17692, -20685?\n\"Answer: -33*q**3 + 10*q - 13617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24030109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 911597798.\nAnswer: 2, 83, 5491553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -45 - -1c1?\nAnswer: 17c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7809 - -14355. What is the greatest common factor of i and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**3 - 3*d**2 - 6*d + 9. Let a be v(4). Solve 0 = -8*w + 7*w + a for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 0.0322, 2\/13, 2\/17, 6 in descending order.\nAnswer: 6, 2\/13, 2\/17, 0.06, 0.0322","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 87*f - 6901. What is y(-137)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 128 and 479456.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7816, 7839, 7866, 7897?\nAnswer: 7932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*o**2 - 16071 + 16085 + 5*o - 3*o - o**3 in the form a*o**3 + h + b*o + r*o**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 37*l - 156. Let n(x) = 9*x - 39. Let w(i) = 2*b(i) - 9*n(i). Let f be w(3). Solve -2*u + 29 - 5 = 5*m, 3*m + 3*u - f = 0 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -302, -623, -948, -1265, -1562?\nAnswer: -1827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.01 in 4, -0.01, 0.13, -57?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2586, 5999, 9412, 12825, 16238, 19651?\nAnswer: 23064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(684))**2*-5 - sqrt(209)\/(sqrt(33)\/(sqrt(3) - sqrt(147))).\nAnswer: -54720 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xvv when three letters picked without replacement from {i: 2, x: 8, c: 2, e: 1, j: 2, v: 4}?\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -2. Let a(b) = -b**2 + 4*b. Let j be a(x). Factor -15*o**2 + 3*o**j - 9 - 1 + 24*o - 2.\nAnswer: 3*(o - 2)**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16601 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o = 116 - 128 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - 0. Let z(j) = j**2 - 11*j - 5. Let s(l) = -l**2 + 5*l + 2. Let a(d) = n*z(d) - 5*s(d). Factor a(x).\nAnswer: 3*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*g - 2*g - g)*(2235 - 2235 - 54*g + (2*g + 1 - 1)*(0 + 1 - 8)) to a + c*g**2 + d*g and give c.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iipiipi?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -13\/2*u**2 + 1\/6*u**3 + 0 + u. Let o be b(14). Calculate the highest common factor of 3 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/12 + -2 - (-2484)\/144. Solve -4*f - d = -4*n + 3*n, 18 = 2*n - 4*f for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 3*q + 9, -8*f + 5*q = -4*f - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 3 + 3*s**2 - 1 + 4 to p*s + l + j*s**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -6*g + 3. Let c be x(3). Let t = 21 + c. Let p = 362 + -356. What is the remainder when p is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2\/5 + 76968*k\/5 - 493672752\/5 = 0.\nAnswer: 12828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5*d**3 - 3*d**2 + 2*d + 3. Let s be m(-3). What is the greatest common factor of s and 273?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 4*r - 4*r)*(-4 + 4 - 3*r - 2).\nAnswer: -9*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 - 588*m.\nAnswer: 4*m*(m - 147)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8 - -32387?\nAnswer: 32378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (399\/(-2275))\/(2 + (-12)\/5). Let g = 1\/26 - s. Let u = 2\/145 - -284\/435. What is the closest to 4\/5 in u, 2\/13, g?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.081 - -0.119. Let m = 0.88 + 0.02. Let i = m + 3.1. What is the nearest to -2\/3 in o, i, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 6*k**2 + 7*k + 24. What is the remainder when h(-9) is divided by 35?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 17, 5, 2 in decreasing order.\nAnswer: 17, 5, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t + 2*t - 3*t)*((-3 + t + 3)*(-2 + 2 + 7)*(-1 + 3 - 3) - 3*t - 7*t + 2*t).\nAnswer: 90*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.3 - -0.7. Let y be 2\/5*(-75)\/(-80). Let o = y + 7\/24. Which is the nearest to k? (a) 1\/4 (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/8*2*0. Suppose s*v = 3*v - 15. Suppose 3*w + 4*n = 10, v*w - w = -4*n + 12. Calculate the lowest common multiple of w and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f + 53. What is the remainder when 25 is divided by n(19)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2. Let g(o) = -o**2 + 3*o + 59. Let q(s) = 2*b(s) + g(s). Let p be q(9). Solve 3*f = -0*f + p for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 5*s, -3*i + 2*s + 14 + 5 = 0. Let q(f) be the second derivative of 2\/3*f**3 + 0 - 1\/20*f**5 + 1\/6*f**4 + 3*f + 1\/2*f**2. Calculate q(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b - 5*b. Let r(s) = b*s**2 + 6*s**2 - 5*s**2. Let c(o) = -2*o - 6. Calculate c(r(n)).\nAnswer: -2*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-17 + 14 + -18)) + -4\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8733584 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -968 divided by 242?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 333675 - -14?\nAnswer: 333700","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 7*f**2. Let w(k) = 6*k**2 + 37. What is w(z(l))?\nAnswer: 294*l**4 + 37","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/13512 and 121\/40536?\nAnswer: 40536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 504 (base 6) to base 10.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by 1142\nAnswer: 63\/1142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 155\/3354 and 151\/2882100.\nAnswer: 123930300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006743.\nAnswer: 3, 73, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k. Let h be m(0). Let c(t) = -t + 1. Let z be c(4). What is the third smallest value in -2\/17, h, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 3302700.\nAnswer: 6605400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-80)\/(-48))\/((-1)\/6)*-4. Let p = 40 - o. Solve 5*q = -l - 10, -l + p = -2*q + 3 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -39142550114 + 39142547710.0001271. Let y = 2404 + q. Round y to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -246555 divided by 27395\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 20*3\/(-9)*(22 + 768\/(-30))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d + 10. Let k(s) = 4*s + 11. Calculate -5*k(c) + 6*q(c).\nAnswer: -2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*y - 41. Let c be (18\/y)\/(1\/(-200)). Let s be -2 - (c\/(-2))\/(-3). Calculate the highest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1.1 (b) -9691 (c) -9 (d) 0.24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -10*i**2 + 4*i - 14. Let o(n) = 10*n**2 - 4*n + 10. Let d(t) = 2*b(t) + 3*o(t). Give d(2).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1198 to the nearest 10.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*w**3 + 18*w**3 + 13*w**3)*(6*w**2 + 0*w**2 + 6*w**2) - 4*w**2 + 4*w**2 + w**5 - 2*w**5 + w**5 + 3*w**5.\nAnswer: 255*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 73609578?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -59*b + 101 + 17. Suppose 4*y = -m - 34 + 51, 4*m + b*y = 40. What is the greatest common divisor of 45 and m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the first derivative of -4*n**3\/3 - 2*n + 12. Let b = -2 - 3. Let d(j) = 3*j**2 + 3*j**2 - 2 - 7 + 5 + 7. Calculate b*d(i) - 7*p(i).\nAnswer: -2*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 120 = 2*o. Let s(i) = -73*i - 12. Let c be s(-4). Calculate the greatest common divisor of o and c.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-12)\/10)\/(14\/(-35)). Let t be 11 + -4 - (-2)\/(-1). Suppose t + 10 = p*c. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68580 + 68580 + 3*x + 0*x.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/1806 and 83\/55174.\nAnswer: 7117446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 - (678 + -659 + (14 - 1)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 116\/(-6) + (-22)\/33. Let o be 5*1*v\/(-25). Suppose 69 = 3*s + o*x, 4*s - 42 = 3*s + 5*x. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.237131 - 0.262869. Suppose -5*y = 3*k - 302, -2*y + 216 = 2*y - 4*k. Let l = -288\/5 + y. What is the fourth smallest value in -1, l, -5, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.161418 months to centuries.\nAnswer: 0.007634515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -175.2 - -175. Let d = -39 + 39. Sort -0.1, d, o.\nAnswer: o, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1732255171 to the nearest integer?\nAnswer: 41620","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 85\/10 - 3*(-3)\/(-18). Let y be 2*d - (-10 + 6). What is the greatest common divisor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10074 is divided by 26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11524)\/(-258) - 220\/33.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9300515*t*w**2 - 1919*t*w + 11*t + 36*w + 2 wrt w?\nAnswer: 18601030*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301397491?\nAnswer: 301397491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, g: 18}. Give prob of picking 3 g and 1 e.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.336 + -1.336897. What is i rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 - 185*n**2 + 5 - 36 + 23*n**2 + 3 as m*n**2 + f + j*n and give m.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24\/7*u + 0 + 4\/7*u**2 - 4\/7*u**3 = 0. Calculate u.\nAnswer: -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 454*b**3 - 887*b**3 + 434*b**3.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1588 + -1588.0000003551. What is o rounded to seven dps?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/((-21)\/(-4)) + 128\/28. Suppose -8*n + u*n + j + 8817 = 0, -4*n + 8792 = 4*j. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0 (b) 6 (c) 96 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1005 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l - 21. Calculate b(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 843*m**4 + 88 wrt m?\nAnswer: 3372*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 0. Let u = -1.13 + 0.23. Let o = u + -0.1. Which is the smallest value? (a) -1\/5 (b) r (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + a + 17. Let v be -2*((-10)\/(-2) - 2). Let q = -3 - v. Let s(o) = -2 - 4 - q + 5. Calculate 2*j(i) + 9*s(i).\nAnswer: 2*i**2 + 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 2:25 AM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1384, 1382, 1380, 1378, 1376, 1374?\n\"Answer: -2*f + 1386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 x when three letters picked without replacement from {c: 2, e: 1, x: 1, k: 1, b: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 46456?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -5*a**5 + 91*a**4\/24 + a**3\/6 - 2*a**2 - 2*a. What is the second derivative of s(z) wrt z?\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -75*y + 377. Calculate l(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000541724459 to seven dps.\nAnswer: -0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/1695 and -23\/5.\nAnswer: 1695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 100 - 95. Suppose -3*m = -3*j - 15, -3*m = o*j - 2*j + 15. Suppose -2*r + 2707 = 5*b, 2165 = 4*b - m*b + r. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 19 = -3*b. Suppose -4*m - 2*k = -7*k + 5, 3*m = 2*k + 5. Let x be 1\/(-1) - (-4 + 1). Solve x*o = -a + 2*a + b, -4*o - m = -5*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/((f**(-1\/12)\/f)\/f))\/(f**1\/f))**(-15) assuming f is positive.\nAnswer: f**(-245\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 - 5*k + 3. Let b = 18 - 23. Let c be o(b). Suppose -c*v = v - 48. Calculate the greatest common divisor of 48 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -92*f. Let z(b) be the third derivative of -b**6\/180 + 3*b**3\/2 - 3*b**2 + 17*b. Let l(t) be the first derivative of z(t). Calculate h(l(n)).\nAnswer: 184*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1082.\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2*2\/3. Suppose -3*h = q - 19. Let y(v) = -v**2 + 9*v - 1. Calculate the lowest common multiple of y(h) and 10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7.9 + -29.2. Let d = u + 37.09025. Round d to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v + 9. Let b be h(4). Let j be (-48)\/(-60) - 438\/b. Let i = -87 - j. What is the smallest value in -0.1, -3, i, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -286*s - 77. Let u(r) = 15*r + 4. Let t(w) = 4*f(w) + 77*u(w). Let k(j) = 5*j**2. What is t(k(o))?\nAnswer: 55*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c + 62. Give u(15).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**9\/v**(-1\/5)*v**(-8)\/v**(-10) assuming v is positive.\nAnswer: v**(56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1495 - 312*m + 2*m**2 + 312*m.\nAnswer: 2*m**2 - 1495","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.27687, 8, 5, 0.\nAnswer: 0, 0.27687, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 3\/1487635 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*r - 163*r = -33. Calculate the remainder when 163 is divided by r.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 264*r - 790. Let o be f(3). Solve 5*y - o*z + 9 = 12, -4*y + 2*z = -2 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -403 - 6436?\nAnswer: -10142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) 2\/117 (b) 2 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 84 - 2\/3*j**3 - 1\/2*j**2 + 12*j**4 + 41*j. What is the second derivative of v(a) wrt a?\nAnswer: 288*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 15373719?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -9872 to the nearest 100.\nAnswer: -9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 967421.6 nanometers?\nAnswer: 0.09674216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/80 and -37\/7597464.\nAnswer: 75974640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*k - 2*k + 5*k)*(-4 + 2 + 0) + (-21 - 1 + 3)*(-20 + 20 - 7*k)*(-4 + 1 + 2).\nAnswer: -159*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6435.248 centuries to decades.\nAnswer: 64352.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -425 divided by 14380?\nAnswer: -85\/2876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from rrrrrrrrrrrrrsss.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 12*t**2 + 14*t - 66. Is s(-14) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.04 or 12068841?\nAnswer: 12068841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3\/3 - 67200*v**2 - 846652796*v + 5080723208\/3.\nAnswer: -4*(v - 2)*(v + 25201)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((-18)\/12)*61*(-48)\/(-805200)?\nAnswer: -2\/275","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 254553 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3\/(-57) - (-987)\/3591. Let j = -2 - -1. Which is the nearest to j? (a) -2\/19 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 923141627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-3 - (2 - (-7 + 15)))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 divided by -2072440?\nAnswer: 37\/2072440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -5599*u - 33467. Give d(-6).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5*h - 405 = -143, 2*r - 250 = -h. What is the remainder when r is divided by 45?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*a - 4. Let g be (-1)\/2 - a\/2. Let w = 14 - g. What is the remainder when w is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-15) + 220\/25 + -6. Let s(m) = h + 3 + 0 - 4*m. Let j(q) = 5*q - 7. Determine 5*j(y) + 6*s(y).\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 454649310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 26*w**2 - 2*w - 1. What is t(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 295370177*w**4 - 223660210*w**2 wrt w?\nAnswer: 7088884248*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 7*d + 6. Suppose 2*q - 33 = 79. Let h be 371\/q - 7 - (-118)\/16. Give r(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50883078?\nAnswer: 2, 3, 8480513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 m when three letters picked without replacement from {a: 8, z: 1, v: 4, m: 2}?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 125*p**2 - 299*p**2 + 2 - 62*p**2 + 13*p**2 to k + t*p + j*p**2 and give j.\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22 + -21. Which is the closest to -2\/5? (a) -0.4 (b) 0.4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5247000 to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(((-9)\/(-4))\/(-3)). Suppose 4*n + m - 32 = 0. Does 7 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g - 3. Let h be t(2). Suppose -h*r - 11 - 10 = 0. Let a be 4\/3 - -1*r\/21. Let z(j) = 6*j. What is z(a)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**2 - 7*k + 18. Let z be i(0). What is the closest to z in -1\/12, 2, -29?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5298\/51 - (-18)\/153.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xmemmmxyygmxm. What is prob of picking 1 y, 1 g, and 1 x?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a - 3 = -15 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -92 + 93 - (0 - 0 - -1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/320 and 11\/256.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-2\/37)*k*k**(-11))\/(k\/(k**(1\/7)*k)*k\/(((k**(-3)*k*k*k*k)\/k)\/k)) assuming k is positive.\nAnswer: k**(-3085\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 - o**3 + 3*o**3 - o**2 + 17 as m*o**2 + g*o**3 + f + q*o and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(833) + -1*sqrt(833) + 0)**2 - (sqrt(85)\/sqrt(5) + 1 - ((sqrt(272) + 4)**2 + sqrt(17))).\nAnswer: 32*sqrt(17) + 296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2113 (base 5) to base 2.\nAnswer: 100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x + 0*x + 0*x + x**3 + 84 + 429*x**2 + 96 - 181 in the form l*x**2 + c*x**3 + n*x + q and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w**2 - 3*w + 1. Let x(h) = 93088*h**2 + 11 - 14 - 93110*h**2 + 8*h. Calculate 11*r(u) + 4*x(u).\nAnswer: -11*u**2 - u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0246 + -1.175237.\nAnswer: -1.150637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h + 36 = -436. Calculate the remainder when 1059 is divided by h.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 + 33.5. Sort 3\/5, -2\/13, o, -2\/5.\nAnswer: -2\/5, -2\/13, o, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of (102*1*-1)\/(41 + -44)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5 + (-76)\/12)\/(4\/(-6)). Suppose -x*f - 19689 = -20*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-10) + (647140\/(-40))\/(-131)\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 35, 8, 3, 0, 2157 in descending order.\nAnswer: 2157, 35, 8, 3, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3 - -2) + 182 + 2 + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 4\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 7 = 3*q - 1, 3*s - 4 = 2*q. Let y = 2 + s. What is the first derivative of v**2 + 2 - 6*v**2 + y*v**2 + 0 wrt v?\nAnswer: -6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 26628.\nAnswer: 79884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6545693, 6545697, 6545703, 6545711, 6545721, 6545733, 6545747?\nAnswer: 6545763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1527227.5 and 1?\nAnswer: -1527227.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 + -5. Let m(y) = 5*y + 2*y - 3*y - s*y. Let j(q) = -6*q**2 + 5*q + 5. Let w(i) = -i**2 + i + 1. Let v(o) = -2*j(o) + 10*w(o). Give v(m(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**16\/(v**(-14)*v))\/(v**(1\/5)\/v)**(19\/5) assuming v is positive.\nAnswer: v**(801\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 96 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 4*z**2 + z + 2. Give k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -8.9. Which is the third smallest value? (a) p (b) -1\/7 (c) -2\/19 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*o**4 - 3*o**4 - 7*o**4 + ((-3*o + 3*o - o**3)*(4 - 2 - 4) + o**2 + 2*o**3 - o**2 + 0*o**3 + o**3 + o**3)*(2*o - 9*o + 2*o) - 3*o**2 + 3*o**2 - o**4.\nAnswer: -37*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -2535?\nAnswer: -2532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52.3 - -58. Let a = 5.565 - k. Round a to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*j - 9 = -9 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rruuruuuurvvryurr. What is prob of picking 2 r and 1 v?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 149774 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336*q - 334*q - 28 = 0. Solve 12*u = 14*u + q for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/6)\/(-3))\/1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(24\/10)\/4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 + 13. Let v = -13 + z. Let s = 0.41 - 0.01. Sort v, -2\/9, s in descending order.\nAnswer: v, s, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1087, -2229, -3379, -4531, -5679, -6817, -7939?\nAnswer: -9039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g**2 - 2*g. Let x(y) = -y**2 + 5*y + 10. Let p(i) = -i**2 + 6*i + 12. Let j(b) = -5*p(b) + 6*x(b). What is l(j(o))?\nAnswer: -7*o**4 + 2*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -k**5\/60 - k**4\/8 + 77*k**3\/6 + 5352*k**2. Determine t(5).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 + 7*b**3 - 34*b**2 + 8*b.\nAnswer: b*(b - 2)*(b + 4)*(4*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, r: 3, v: 1, c: 9}. Give prob of sequence ri.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one halves of a decade in months?\nAnswer: 1860","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*r + r + 0*r)*(-3*r + 2*r + 0*r) + (0 - 2*r + 0)*(-2*r - 2*r - r) as p + y*r**2 + f*r and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*l**2 + 2666180*k**3*l + 15276859*k**2*l**2 wrt k?\nAnswer: 6*l**2 + 15997080*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 13273000?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/2*(-6)\/(-21)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -230608 divided by 812?\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 130 + -126. Solve -2*h + 2*g = 16, 3*h + 2 = 5*h + s*g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 2225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 91584868 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Factor -7*s**3 + 1\/3*s**4 + 74\/3*s**2 + 96 + 128*s.\nAnswer: (s - 12)**2*(s + 1)*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + 124\/(-40))*6. Let p = -0.21 - 0.09. Which is the third biggest value? (a) p (b) s (c) 4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 117 = 138. Calculate the remainder when 82 is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21692 divided by 29\nAnswer: -748","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 4.2993275.\nAnswer: -8.598655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2914 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 6, 0.3, -2\/7, -1.9?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 219*g**3 + 898*g**3 - 242*g**3.\nAnswer: 875*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (13\/(-26))\/((-3)\/252). Suppose q*u + 16 = 50*u. Solve -u*f + 0*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*n**2 + 2183590*n**3 - 80*n + 8*n**2 - 2183659*n**3 to d*n + s + w*n**2 + y*n**3 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 109660858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -8*g**4 + 6*g**3 + 2*g**2 - 6*g - 6. Let k = 4 - -1. Let w(j) = 7*j**4 - 5*j**3 - 2*j**2 + 5*j + 5. Let i(y) = k*c(y) + 6*w(y). Factor i(m).\nAnswer: 2*m**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32617.\nAnswer: 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -4775 and 69 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**2*w)\/w*w**14)\/(w**(-26)\/(((w\/w**(-26)*w)\/w)\/w)) assuming w is positive.\nAnswer: w**69","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**4 - 1601522*w + 1601520*w + 30*w**3 + 9*w**4 + 10*w**4 - 3*w**4 in the form y*w**4 + j*w + x + f*w**2 + l*w**3 and give l.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*q**3 + 5*q**5 + 3*q**4 + 343*q**3 - 110*q**3 - 111*q**3 - 18*q**4 = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 220 divide 643212?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1\/(-2))\/((-1)\/162). Let n be d\/18 - 1\/(-2). What is the derivative of -12 + n*c + 5*c - 4*c wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 8*q**3 - 5*q**2 - 4*q - 8. Let b(s) = 7*s**3 - 5*s**2 - 3*s - 7. Let h(x) = -7*b(x) + 6*w(x). Is 3 a factor of h(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -360 + 360. Which is the nearest to q? (a) 2\/9 (b) -5 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -20439.025417 to the nearest one hundred.\nAnswer: -20400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 87*h*p*w**3 - 1455*h*w**3 - 1672*h*w + 9*p*w**3 + 19*p*w**2 - 12*w**2 wrt w?\nAnswer: 522*h*p - 8730*h + 54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8.57 + 0.37. Let d = -4.4 - g. Let c = d - 3.799854. What is c rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**3 + 3*c**2 + 4*c - 6. Let z be y(3). Suppose 22 = 2*k - i, 4*k - 4*i = z*k - 32. Solve 3*s + s = -k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 433290 divided by 33\nAnswer: 13130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -79*y**2 - 12. Let n(k) = 33*k**2 + 5. Let j(u) = -5*i(u) - 12*n(u). Let m(z) = -1376*z. What is m(j(g))?\nAnswer: 1376*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 16, 40, 70, 106, 148?\n\"Answer: 3*r**2 + 15*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 121536 and 148416.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3980*d**2*i**3 - 5*d**2*i**2 - d**2*i - d**2 + 22*d*i**2 - 4032375*i**3 wrt d?\nAnswer: -7960*i**3 - 10*i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that -3267*y**5 + 12358269*y**4\/2 - 17029113*y**3\/2 + 1987155*y**2 + 340194*y + 11340 = 0.\nAnswer: -2\/33, 1\/2, 1, 1890","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 0.04, -8, -0.2, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -62. Put -0.2, 4, -0.05, p in increasing order.\nAnswer: p, -0.2, -0.05, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -9*o + 833. Let q be p(93). Let l be 1\/(-4) - 9\/(-4). Let v be 1*2*15\/6. What is the nearest to v in l, q, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*p + 16 = -36*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/8)\/((-154)\/176). Which is the closest to -6? (a) -2 (b) -1\/6 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 PM and 10:00 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2296 - 2256. Suppose 0*c = 3*c. Solve c = z - 45 + x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*(h\/h**1)\/h))**(-37)\/((((h*h\/h**3)\/h)\/h*h*h)\/(h**(4\/7)\/h)) assuming h is positive.\nAnswer: h**(-255\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a day in minutes?\nAnswer: 4080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9197 = 2629*g - 5125 - 103974 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 54205354?\nAnswer: -54205401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 108214936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**5\/7 + 516*y**4\/7 - 22188*y**3\/7 + 318028*y**2\/7 = 0. What is y?\nAnswer: 0, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 16) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/20370 and 83\/93702.\nAnswer: 468510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 988145, 988144, 988143?\n\"Answer: -v + 988146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5833 and 12521.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*q + 18*q + 3 = 0. Suppose 0 = -q*j + 8 + 76. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6 - 4 - s + 3. Let v be p(-14). What is the third smallest value in v, 1, 0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.383287us in milliseconds?\nAnswer: 0.008383287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 0 (b) 3\/4 (c) 6\/17 (d) 0.5 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 94266691 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42182 is divided by 178.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130893?\nAnswer: 3, 7, 23, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67099?\nAnswer: 17, 3947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 465 and 2524640?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 41 from -33.2765827.\nAnswer: -74.2765827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 3*sqrt(833) + sqrt(833) - sqrt(833))*-6.\nAnswer: -126*sqrt(17) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 2. Let y be 40\/16*3\/30*2. Which is the second biggest value? (a) y (b) q (c) 2\/15 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1958\/4995 + -8\/999. Which is the nearest to h? (a) -0.61 (b) 0 (c) 0.52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 5 = -0*z + 5*s, 4*z - 31 = 5*s. Suppose z*l - 1767 = l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 6*m**2 - m. Calculate the lowest common multiple of o(-6) and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, r: 1, i: 9, b: 1}. Give prob of picking 2 e and 1 r.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 + 16. Suppose l*c + 0 - 20 = 0. Is c at least as big as -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + -2*(5*-2*sqrt(363) - (sqrt(363)*-3 - sqrt(363))*-4))**2.\nAnswer: 5720*sqrt(3) + 981577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-18))\/((-128)\/288)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.36 + 0.06. Let m = -16.87 - -17. Let i = m + 1.87. What is the nearest to i in f, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5 + 0. Let a = -43.3 - -42.9. Let w = 0.74 - -7.26. Put w, a, g in descending order.\nAnswer: w, g, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*h - x + 527 + 285, 5*x = -3*h + 609. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 114\/5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/10*5\/2. Suppose 0 = -o - a + 17. What are the prime factors of o?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 16*l**2 + 41*l - 35. Let k(h) = -2*h**2 + 1. Calculate 7*k(f) + n(f).\nAnswer: 2*f**2 + 41*f - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 15\/4 of a minute?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 - 4*y**2 + 4*y**2)*(-1 + 1 - 2*y**2 - y).\nAnswer: 4*y**4 + 2*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -146, -130, -96, -38, 50?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xtpd when four letters picked without replacement from ttpvttttdtxdttk?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.744187 to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:29 AM and 10:11 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of -m**4\/4 - 11*m**3\/3 + 43*m**2\/2 + 14*m + 99. Let w be b(-14). Solve w = -6*v - 6 - 24 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 3, n: 5, o: 2}. What is prob of picking 4 o?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pkk when three letters picked without replacement from {k: 4, p: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 8:58 AM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u + 103 = -117*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -50\/461 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q*(q**23\/q)\/q*q*q)*q**5*q)**(11\/4) assuming q is positive.\nAnswer: q**(-187\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -17*p - 26*p + 46*p + 2*z, 4*p + 2*z + 14 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104655 = -17*p + 32*p. What is the hundreds digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3876\/((-4161)\/(-73)))\/(1\/1)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 249*b**5 - 123*b**5 + 38*b**2 + 81*b - 124*b**5 wrt b.\nAnswer: 40*b**3 + 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 1\/234, 0.3?\nAnswer: 1\/234","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -99 (c) -2\/7 (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2205\/4 - -20125\/36. Find the common denominator of f and ((-170)\/45)\/17 - 1436\/180.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 696 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-4\/11))\/(s\/(s**(3\/5)*s)*s))\/(s**4*s\/((s\/s**7)\/s*s*s)))**(-5\/2) assuming s is positive.\nAnswer: s**(497\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -11. Let c(x) = 17*x**2 + 7*x - 13. Let j(f) = f**2 - 2*f - 1. Let h(i) = c(i) - 2*j(i). Let m(b) = -8*b**2 - 6*b + 6. Determine a*h(r) - 11*m(r).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-3 + 4 + 1). Let i = 5 - a. Find the third derivative of 2*s**2 - 23*s**5 + 2*s**2 + 20*s**i wrt s.\nAnswer: -180*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -2*m + 4, 4*x - 75*m = -70*m - 36 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3455900 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -36.921. Round v to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20 - -30200100?\nAnswer: 30200120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y - 1. Calculate x(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/12*(-18)\/12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-81)*(-30)\/(-20)*(-24)\/(-2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/22952226 and -46\/1043283.\nAnswer: 22952226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 161409000 = -j + 161409020, 3*j - 32 = 2*y for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/1)\/((-3)\/21). Let i = -5 + c. What is the smallest common multiple of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 7 - ((-5)\/1 - -5). Sort -1, 2, y.\nAnswer: -1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182341796 a multiple of 1218?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4038762581 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o\/o**19*o)\/(o*o\/(o**(-3\/5)*o)*o) assuming o is positive.\nAnswer: o**(-88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-68)\/12 - -2 - (-2)\/(-6). Let s be 27\/4 + (-1)\/w. Let y(l) = 7*l - 29. What is the remainder when 37 is divided by y(s)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 36 = -4*h. Let z = -0.6 - -0.4. Which is the nearest to -1? (a) -1 (b) z (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.61 to 1 dp.\nAnswer: -11.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*c - 6. Let z = 7 - c. What is the second derivative of 2*q**4 - 2*q**z - 2*q**4 - 2*q wrt q?\nAnswer: -24*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 - 2*f + 2. Suppose x = -1 - 1. Let d be s(x). Let l(a) = d + 2*a**2 - 2. Let p(j) = -4*j**2. Calculate p(l(b)).\nAnswer: -16*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 250378?\nAnswer: 100151.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*h**3*k*r - 42*h**3*k - h**3*r - 3*h**3 + 8*h**2*k - 113*h*k + r wrt h.\nAnswer: 12*k*r - 252*k - 6*r - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -63 - -93. Let d(w) = w**3 - 29*w**2 - 31*w + 31. Let f be d(x). Let v(b) = b**2 + 2*b - 1. Let j be v(-2). Sort 2, -2, j, f.\nAnswer: -2, j, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -791*r + 796*r - 16, -c = r - 16 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100110001010 + 10110100100?\nAnswer: -1111100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3446\/247 + 180\/13. Is v > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**8\/448 - 23*s**7\/70 + 1011*s**6\/80 + 1081*s**5\/20 + 2209*s**4\/32 + 6688*s**2. Factor m(w).\nAnswer: 3*w*(w - 47)**2*(w + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 105*17\/(357\/2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (32 - (15 - -28) - -17) + -35?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 131*u - 106*u - 150 = 0 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) -2\/9 (b) -5 (c) -48171.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(5) - sqrt(5))*1*3 + 0 + 2*sqrt(5) + -1 + (sqrt(45) - (sqrt(2880)*2 - sqrt(2880)) - sqrt(45))\/(1*sqrt(9)*-1).\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015881 rounded to seven dps?\nAnswer: 0.0000159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 37912 divided by 3?\nAnswer: 37912\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbl when three letters picked without replacement from {f: 2, l: 1, t: 2, b: 4, m: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1425)*-2 - (sqrt(5700) + sqrt(57))*-2)\/(sqrt(3072) - sqrt(24)\/(sqrt(512) + sqrt(8))).\nAnswer: 108*sqrt(19)\/287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 8*n. Suppose -j + 1 + 1 = 0, -2*j + 12 = 4*l. Let h be (-5)\/l*(5 + -3 + -4). Let o(a) = h*a**2 + 0*a**2 + 10*a**2 - 14*a**2. Calculate o(f(v)).\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5 + -5.09. Let q = 4.91 - h. Let r = -5 + 3. Which is the second smallest value? (a) 1\/3 (b) r (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 348 (b) 0.3 (c) 2\/81 (d) 1\/4 (e) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 6, -17, -71, 10, 5 in descending order.\nAnswer: 10, 6, 5, -2, -3, -17, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/35964 and 19\/216.\nAnswer: 71928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50750088?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 + 170\/15)\/(2\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -100075.909 minus -18703?\nAnswer: -81372.909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(72).\nAnswer: -2 + 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the third derivative of 7*a**5\/60 - 5*a**4\/8 + 6*a**2. What is the second derivative of u(y) wrt y?\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 118739 - 973271\/8. Let t = r + 2926. Find the common denominator of t and 22\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 40 = -5*i - p, -2*i + 4*p = -10. Suppose -3*g = -76 - i. Calculate the remainder when 112 is divided by g.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 5 = b, -4*f + 5 = -5*b + 12. Suppose -f*m = 3*m + 15, -n - m = 1. What is the third derivative of -n*z**2 - 5*z**2 + 11*z**5 - 23*z**5 wrt z?\nAnswer: -720*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9 and 3645?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (12\/(-285))\/((-556)\/1390). Let j = 3 - 3. What is the second biggest value in -0.046, 3\/5, r, j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 - 1 + 0)*(-3 + 2*n + 3) + 1 + n - 1 + (0 + 2 - 1)*(2*n - 4*n - n))*(3*n - 6201 + 9963 - 5342) in the form x + o*n**2 + i*n and give o.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i - 21 = -35. Suppose 3*j - 323 = -2*r, 3*r = 5 - i. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4058443, 8116836, 12175229, 16233622?\n\"Answer: 4058393*l + 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:32 PM and 3:35 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g*i*w**2 - 29*g*i + 4*g*w - 31*g + 1549961*i*w**2 + 18*w wrt w?\nAnswer: -2*g*i + 3099922*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k. Let s(y) = 3*y + 23. Calculate o(s(i)).\nAnswer: -9*i - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 140 - 139.6. Let b = 10 - 5. What is the smallest value in z, b, 8?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 2*n, 3*x - 4*n - 5*n - 60 = -4*x + 8*x - 3*x for x.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 294669041 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 125 or 157?\nAnswer: 125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7978224949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326 - -2990484918.67.\nAnswer: 2990485244.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6938700 and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 8. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5630309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17012505 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2267 or 2223?\nAnswer: 2267","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 373318720.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -136, -569, -1274, -2245, -3476, -4961?\nAnswer: -6694","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 8*p**2 - 9*p + 9. Let w be -8 + (0\/(-4 - -1))\/1. What are the prime factors of l(w)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t = 24*t - 5264. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 27\/7, 0, 30, -0.1, -1\/18 in decreasing order.\nAnswer: 30, 27\/7, 0, -1\/18, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, -2\/13, -4\/9, 1\/46, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3\/4 - 77*x**2 - 1140*x + 46800.\nAnswer: -(x + 60)**2*(3*x - 52)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216 = -55*m - 2*c + 3*c - 5, -4*m = 5*c - 3 + 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 62\/149 + -24923\/61686. What is the common denominator of -25\/184 and u?\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 + -237. Let y = r - -169. Which is the smallest value? (a) -0.081 (b) -5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 - 6*b**2 - b + 7. Let y be h(6). Let j(o) be the first derivative of -2\/3*o**3 - y + 0*o + 1\/2*o**4 + 0*o**2. Solve j(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p**3 + 1 - 1)*(172 - 5*p - 62 - 46).\nAnswer: -10*p**4 + 128*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -846873, -1693746, -2540619, -3387492?\n\"Answer: -846873*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2685688 and 2432.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 3*o = -37, 4*o - 35 = 3*w - o. Suppose -122 = -b - 4*b - 3*v, -2*b - 3*v = -56. Let q = w + b. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 4 (b) -1\/2 (c) -1\/5 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3363 + 1680 - s**2 + 1683.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -15*x**2 + 1898*x - 8292. What is o(122)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 3, t: 5, m: 1, x: 3}. What is prob of sequence ttt?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = u + 10 + 1, 5*u + 77 = -4*k. Let q(i) = 3*i + 54. Let a be q(u). Factor 2*j**3 + 196*j - 784*j + 84*j**2 + 1372 + j**3 - 7*j**a.\nAnswer: -4*(j - 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(16\/6) + (-22)\/8?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 4*s**3 - s**2 - s + 1. Let d(z) = z**2 - 15*z - 15. Let c be d(16). Calculate y(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -73 + 77. Suppose 35 = x*j + 5*s, 4*j + 5*s = 2*s + 45. Find the first derivative of -4 - 14*n + j*n - 12 wrt n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 442303?\nAnswer: 401, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 215 = z - m, 0*z + 215 = z + 4*m. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 + 8*u**2 - 8*u + 9. Let y be o(7). Let a = y + -5. Let t(n) = -2*n + 1. Let s(k) = 4 - 3 - 2 - 1 + 199*k - 196*k. What is a*s(v) - 4*t(v)?\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 37*f + 1018. Let h be t(-52). Calculate the highest common factor of 406 and h.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21*d**5 - 21*d**5 + 101*d**6 - 179*d**2 + 135*d**2 + 16*d wrt d.\nAnswer: 12120*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31286?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5647, -11443, -17379, -23443, -29623, -35907?\nAnswer: -42283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 25 = -2*g. What is the nearest to -0.2 in -5, 0.2, g?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -34836 in -2, 5, 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55*p**3 + p + 2*p**4 + 58*p**3 - 5*p - p**4.\nAnswer: p*(p - 1)*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -1 - 18*l**3 - l + 5*l**3 + 12*l**3 - l**2. Let q(n) = 35*n**3 + 30*n**2 + 30*n + 30. Calculate q(p) + 30*t(p).\nAnswer: 5*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 - 4*b**2 - 75*b - 55. Determine f(13).\nAnswer: 491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -92 - -54. Let o = -41.2 - q. Let j = o + 3.5. What is the third biggest value in j, 1, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 - -1. Sort -3, -1, d.\nAnswer: d, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2652760 divided by 6029.\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -2*b**2 + 81*b - 269. Determine i(27).\nAnswer: 460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -4*s + 23. List the prime factors of i(-13).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -18*i - 394. Let j be y(-22). Let 9\/5*t + 0 - 3\/5*t**j = 0. Calculate t.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5217 = p, -4*p - 9502 = 2*x - 30426. Does 83 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 600667 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 69*a**3 - 64333*a**2 + 87539*a - 23275.\nAnswer: (a - 931)*(a - 1)*(69*a - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**2*n - 28*a*n + 18*a + 2702*n wrt a.\nAnswer: 4*a*n - 28*n + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-10))\/((-4)\/(-20)). Suppose d + 43 = 5*k, -2*d = -p*k - d + 19. What is the least common multiple of k and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (3 - 527\/525). Let c(b) be the third derivative of 0*b**4 + 0 + 0*b**3 + 0*b**5 + b**2 - o*b**7 + 0*b - 1\/600*b**6. Suppose c(n) = 0. Calculate n.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1078 divided by 1.\nAnswer: 1078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 21 = -3*d - 0*d, 3*n - 29 = -4*d. Suppose -7 = -4*l - a, a = 3*l - 7 - 0. Find the second derivative of -2*f + f**l - 5*f**2 + n*f wrt f.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/((-80)\/(-25)))\/(3\/(-12)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 3*k + 1. Let n(t) be the third derivative of 7*t**4\/24 + t**3\/2 - 163*t**2 + 9*t. Suppose 3*i = -2*i - 10. Determine i*n(r) + 5*v(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 8*l + 5\/2*l**2 - 3. Calculate the remainder when x(7) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -550693998 to the nearest 1000000.\nAnswer: -551000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 721290 by 5.\nAnswer: 144258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10349 is divided by 796.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6? (a) 1 (b) -5 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6480250 divided by 132250.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one sixteenth of a gram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 153, 3, -271, 230 in decreasing order.\nAnswer: 230, 153, 3, -271","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2399062, 2399061, 2399060, 2399059, 2399058?\n\"Answer: -m + 2399063","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(-d + d + 2*d)*(120*d - 473*d + 2842*d).\nAnswer: 9956*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b + 5*b - 4*b)*(-7 - 26 + 37).\nAnswer: 8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1088.305523 rounded to the nearest integer?\nAnswer: -1088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -ba?\nAnswer: b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(56)*2 - (sqrt(448)*1)\/sqrt(8))\/((((sqrt(800) + (sqrt(800)*1 - sqrt(800)) - sqrt(800)) + sqrt(800))*2 - sqrt(800)) + sqrt(800)).\nAnswer: 3*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10349152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve c**2\/6 + 850713*c\/2 - 17865071\/3 = 0.\nAnswer: -2552153, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -2*j**3 - 2*j**2 - 2*j + 2. Let f(p) = p**3 + 2*p**2 + 5*p - 6. Let w(d) = f(d) + q(d). Let l(a) = -a**3 + 3*a - 3. What is -4*l(c) + 5*w(c)?\nAnswer: -c**3 + 3*c - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - l = -12, 5*k + 594 - 649 = -5*l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 6 + (-7 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 7 = -4*i. Let j(s) = -4*s + s + 4 - i. Let d(v) = 2*v**2. Determine d(j(l)).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**(2\/43)*p*p*p**11\/p*p*p**(2\/25) assuming p is positive.\nAnswer: p**(327\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 4*w + 4. Suppose 4*o - 140 = w*d, o + 0*o - 42 = -3*d. What is the highest common divisor of 54 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lpkpd. Give prob of picking 1 l and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 17*l**2 + 4. Let f(p) = -16*p**2 - 5. Calculate 4*f(b) + 5*k(b).\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.1, 4\/387, -0.3.\nAnswer: -4.1, -0.3, 4\/387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(28\/2)*(-70)\/14?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -10443, -41970, -94551, -168216, -262995, -378918, -516015, -674316?\n\"Answer: -5*u**3 - 10497*u**2 - u + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - d - 2 = 0, 3*d - 22 = -5*k. Let l = 6033 - 6034. Sort 80, k, l in decreasing order.\nAnswer: 80, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1167*l - 2 - 9*l**3 + 1168*l + 1 in the form g*l**3 + i*l + b + w*l**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a kilogram in grams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 4*u**2 - 75*u - 5. Let k(f) = -3*f**2 + 45*f + 3. Let r(y) = 3*b(y) + 5*k(y). Let h(s) = 2397*s**2 - 2. Calculate h(r(m)).\nAnswer: 21573*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 999 and 81.\nAnswer: 2997","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1942 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 70\/4*6\/12*106\/795\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 818488.\nAnswer: 5\/818488","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*o**3*v + 3377141*o**3 - 10003929*v wrt o.\nAnswer: -6*o**2*v + 10131423*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 1)*(-4 + 4 - 11)*(-2*q + 2*q - q)*(2 + 1 - 5).\nAnswer: -44*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.2 and -7.\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*h + 2*h. Let t be (-2 + -1)\/((-9)\/6). Suppose 5*d - 15 = h*o, -t*o + 6 = 4*d - 2*d. Which is bigger: o or -1\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/3*165\/2. Let q = 785 - s. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*-3.0823\nAnswer: -9.2469","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 2)*-2 - (-692)\/(-519).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Two letters picked without replacement from {v: 15, i: 4}. What is prob of sequence vi?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*((-528)\/(-253) + (-6)\/69). Solve m + 4 = -b - m, r*m = -4*b - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -228*y. Let v(a) = -4*a. What is j(v(k))?\nAnswer: 912*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z + 6*z - 47*z**3 - 6*z**3 + 0*z.\nAnswer: -53*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1797 and 43595819?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 65653 and 166?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -10.7994 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 5*k + 11 = -12, 44 = 4*d + 4*k. Let i = 3.52 - -0.48. What is the nearest to 0 in i, 3, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**2 + 1344*x - 2700 = 0. Calculate x.\nAnswer: -450, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2293\/(-21) + (-25708)\/(-134967).\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (7*(-10)\/(-175))\/((-1)\/10). Let a be (-200)\/((-1837)\/367 + (1 - v)). What is a rounded to the nearest one thousand?\nAnswer: 37000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12834160 and 129328?\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17 minus 6567386210?\nAnswer: -6567386210.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 - 3*d**2 + 19*d + 1. Let q be o(-6). Sort q, -2, -1 in increasing order.\nAnswer: q, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 2*r**8\/105 - r**6\/15 - 10*r**3\/3 - 11. Let w(d) be the third derivative of t(d). Find the third derivative of w(h) wrt h.\nAnswer: 768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) + (sqrt(832) - ((sqrt(832) - sqrt(832)*2 - sqrt(832)) + sqrt(832))*6))\/(sqrt(2304) + sqrt(2304) + sqrt(2304)*-2 + sqrt(2304)).\nAnswer: 4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.9 + -3.9. Let p = -27.999915 + w. What is p rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and 222837.409868.\nAnswer: 222837.109868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1515)\/165 - 104\/(-572).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -221 + 17056?\nAnswer: 16e35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2658222 and 1772148?\nAnswer: 5316444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*5110.\nAnswer: 15330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*y = 22*y + 22008. Let l = -3923 - y. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 + -17. Let s = f - -12. Let a = -1 - -2. What is the closest to a in 1\/4, -0.1, s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of 177*n**5\/20 - 165*n**2 + 24*n + 2. Find the first derivative of g(y) wrt y.\nAnswer: 531*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.2, 2\/63, 4, -2\/7?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954621 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 21 = -3*k + 39, 5*k = -2*u + 8 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43593 - 340053 = -244*l. Solve -63 = -1206*x + l*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6, -0.2, 0.4, -7493?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*t - 27 - 9 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31635 divided by -7.\nAnswer: -31635\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 0.4 (b) 5 (c) -452 (d) 0 (e) -27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -61 divided by 1464\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1010234?\nAnswer: -1010234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1354833 by -3.\nAnswer: -451611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 8*s**2 + 8*s + 5. Let r be f(-7). Which is the nearest to 2\/31? (a) r (b) 2\/5 (c) 5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/7)*r)**(-20)\/(r**5*r)**(-16) assuming r is positive.\nAnswer: r**(552\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**2 + 0*v + 0*v + (-2*v + v + 0*v)*(3*v - 8*v + 3*v) - 8*v - 5267046 + 428*v**2 + 5267046 to the form r*v + g + z*v**2 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x = -10 + 60 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 30*114\/(-10260)*-195?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56.867 + -57. Let w = 0.399 + j. Round w to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 157, 0.4, -520?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -48*f + 63. Give t(3).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -251 = 4*f + 5*q, -7*f + 2*f - q - 298 = 0. Let p = f - -58. Which is smaller: p or 2\/29?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.1, 378, 65?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 12192*m + 9290304.\nAnswer: 4*(m + 1524)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m - 1. Let z be h(-6). Solve 0 = z*f + 21 + 4 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 316181 and 27494.\nAnswer: 632362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((6*(sqrt(128) + sqrt(128) + 1 + sqrt(128)) - 4*(sqrt(128) + sqrt(128)*-2))**2 + -1)*1 + 5.\nAnswer: 2112*sqrt(2) + 61996","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - 4) + 10 + -4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 359*b - 422*b - 2*t = -206, 4*b = -3*t + 128 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*x**2 + 10*x + 32 + 17*x - 13*x - 8.\nAnswer: -4*x**2 + 14*x + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 741.9877 years to centuries.\nAnswer: 7.419877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 316 - -93?\nAnswer: 3a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1198552183 to the power of 1\/3, to the nearest integer?\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -3. Let f be (2 - -2)*(-2 + 3). Suppose -f*o + 0*o + 12 = 0. Is l > o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 10 = -0. Let u(s) = x + 3*s - 7*s - 2*s**3 - s**2 - 3*s. Is u(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3965 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 13) in base 3?\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llwl when four letters picked without replacement from {v: 3, g: 3, l: 12, w: 2}?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 74*h**3 + 13*h**2 - 43*h + 55. List the prime factors of b(6).\nAnswer: 16249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 11*h**2 - 6 + 16.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42*r**5 - 188*r wrt r.\nAnswer: 840*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 746*q**2 + 4*q - 12*q + 8*q + 38*q**2 as l + z*q + w*q**2 and give w.\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 26966 times 0.0367\nAnswer: 989.6522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) -2\/21 (b) 0.3 (c) -922113 (d) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-9 + -4 - -5)) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*w + 28. Suppose 0 = -a + 4*a - w. Let p(y) = -y**3 - 13*y**2 - 12*y + 5. Let r be p(-12). Solve a*h = -5*b - 6 - 6, 0 = -2*b - r*h + 12 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 4*w. Let t(x) = -2*x - 29. Suppose -4*z - z = 85. Let g be t(z). Is 10 a factor of q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1c - -122c4?\nAnswer: 122a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-25)\/(-15)*(-15)\/(-5). Suppose -14 - 1 = -u*t. Solve -t*a = -8*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28c (base 14) to base 9\nAnswer: 633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7 - j**2 + 44*j + 3 - 17 - 51*j + 4. Let k = 1 - 7. Give u(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2480497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 87 + 88 = 3*i, 2*q + 5*i = 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15138826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48, -89, -106, -87, -20?\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 3, 15, -81, -4, -1 in increasing order.\nAnswer: -81, -4, -1, 2, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 6, v: 3, k: 4, c: 1, i: 1}. Give prob of picking 2 v.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 12 = 4*w, -2*w + 6*w - 5*g = 11. What is the smallest common multiple of 1 + -1 + 60\/3 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(135\/6))\/(3\/18)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -270.4 + 67. Let x = -126.1 - t. What is x rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 732*r**7\/35 + 63*r**4\/2 + 4906*r**2. What is the second derivative of x(t) wrt t?\nAnswer: 52704*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2964 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 66 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5 = 4. Suppose 0 = -5*z - g + 13. Solve 0 = -4*s - 0*s, -z*s - 8 = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -8\/9 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -y - 5. Find the common denominator of -25\/53 and 26\/10 + (-6)\/y.\nAnswer: 530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 5:03 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.114807mg to grams.\nAnswer: 0.002114807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -80.000841 rounded to the nearest integer?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.26 - -0.46. Which is the closest to n? (a) 3 (b) 4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300412041 (base 5) in base 10?\nAnswer: 1185271","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -22*u**3 - 5*u**2 - 5*u - 364. Let j(i) = -13*i**3 - 3*i**2 - 3*i - 182. Let g(t) = 5*j(t) - 3*r(t). What is the first derivative of g(v) wrt v?\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4 - f**2 + 3 - 7 + f. Let z(l) = -7*l**2 + 4*l. Let g = 758 - 759. Let j(u) = g*z(u) + 4*k(u). Let m(q) = -6*q**2. What is j(m(t))?\nAnswer: 108*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 849 < 848?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**2 - d**3 + 0*d**2 - 3 + d**3 + 3 + (0*d**3 - 4*d**3 + 2*d**3)*(1 - 1 - 1) + (-2*d + 3*d + d)*(-323*d**2 - 441*d**2 + 599*d**2))*(-4*d - 3*d + 5*d).\nAnswer: 656*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -58*l - 10610. Calculate x(-168).\nAnswer: -866","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 196386332?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence adu when three letters picked without replacement from {v: 1, d: 1, u: 2, i: 2, a: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 6*z - 46. Let d be t(-4). Let k be (4 - d\/(-25))*30. Calculate the highest common divisor of 24 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4130950)\/(-4)*208\/520 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -873613 less than 0.43?\nAnswer: 873613.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 869 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -439 - -456.7. Let s = 18.7 - v. Which is the closest to 2\/5? (a) s (b) -66\/13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - u - 3*u)*(3*u**2 + 3*u**2 - u**2) + 1 - 1 - 12*u**3 - 372*u**3 - 650*u**3.\nAnswer: -1029*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 81696 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11419, 22811, 34201, 45589?\nAnswer: 56975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 114\/(-380)*5\/(-1)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3288066 (base 10) in base 2?\nAnswer: 1100100010110000000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 0*k**3 + 0*k**3 + (0*k**4 + 2*k**4 - 4*k**4)*(-2 + 2*k + 2) + (-5*k**3 + 5*k**3 - 3*k**4)*(4*k + 2*k - 4*k).\nAnswer: -11*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 385970881*z**3 + 491421*z**2 + 3*z + 3 wrt z?\nAnswer: 2315825286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 8*f**2 - 12*f + 17. Give q(-8).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48531 is divided by 6066.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 e when four letters picked without replacement from {e: 1, q: 11}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16335858 a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*(1150\/5 - (3 - 7)). Suppose -o + 236 = z, 2*o + 2*z - z - l = 0. Is 19 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a + 6. Let q be h(6). Suppose 2*g + 2*z - 6 = 0, q = g + g - 2*z - 2. Suppose g*w - 2725771 = 5874229. What is w rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 41*f**2 + 2*f + 46. Let y be i(41). Let n = -119 + y. Let o(z) = 3*z. What is the remainder when n is divided by o(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 220*q + q**2 + 168*q - 66*q in the form w + s*q + z*q**2 and give s.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 161 and 1456889.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -78*b - 65*b + 43*b. List the prime factors of u(-1).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 40*g**2 + 5681*g - 240. Determine a(-98).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 464 and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 5*m**2 + m - 7. Let r = -6 + 3. What are the prime factors of l(r)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p = -3*p - 20. Let a be p + (-435)\/((-10)\/2). Let k be 2\/5 - a\/(-35). Solve -k*w = -6*w + 4*b - 29, 25 = 5*b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 124 = -4*f, -5*f = -3*a - 100 - 79. Suppose -667*o + 145 = -665*o - 569. What is the greatest common divisor of o and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 15 = -5*z, -5*d + 27 = 2*z - z. What is the remainder when 1\/((-5)\/(-85))*1 is divided by d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7260.346 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*u - 9*q - 225 + 197, -4*q + 224 = -16*u for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**5 + 6*s**4 + 174*s**3 + 466*s**2 + 444*s + 144.\nAnswer: -2*(s - 12)*(s + 1)**3*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1141628 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*k + 1564 - 1954 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-4\/3)\/(k\/(k**18\/k*k))*(k*k**(1\/11))**(-13\/3))**(-20) assuming k is positive.\nAnswer: k**(-7220\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -93.88 - -107. Let m = -0.62 + g. Let f = -13 + m. Which is the second smallest value? (a) f (b) 0 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*m + 3*m. Suppose -m*q + n = 5*n - 12, -3*n = 2*q - 3. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -1221 (c) 1.079\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 855230?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28633 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2. Let q(a) be the second derivative of -a**3 + a. Let z(o) = 3*o. Let t(w) = 3*q(w) + 7*z(w). Give t(m(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2 + (-2*sqrt(2736))**2 + sqrt(2736) + 0.\nAnswer: 12*sqrt(19) + 10939","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, 2\/5, -30?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2448)*-1 + 5 + sqrt(2448) - (((sqrt(68) + sqrt(17))*-6)**2 + -4*sqrt(272)).\nAnswer: -5503 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -4*z - 2*z**2 - 2*z**2 - 3 + z**3 + 3*z**2. Let f be 1\/1 + -6 - (-16 + 13). Determine r(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/18)\/5*-6.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19260558767 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5126 and 66.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c + 2. Let s(p) = -2*p - 4288. Give -s(t) + 2*x(t).\nAnswer: -2*t + 4292","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((2\/(-20))\/((-3)\/72))\/(75519\/2160 - 35)\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/23 or -8.01993?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7364.345 litres?\nAnswer: 7364345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by 3\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89063 + d**2 + 9*d**2 - 44459 - 44510.\nAnswer: 10*d**2 + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6218245 is divided by 296?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 9 + -3 - -6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -2\/7, 0.4, 158793?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.19139 * -30.\nAnswer: 5.7417","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + z = 8, -h - 4*h - 5*z = 40. Which is the biggest value? (a) h (b) -1 (c) -1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, c: 2, q: 3, a: 4}. What is prob of sequence tt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/9 - 2\/(-3). Let y = 8 - 7. Which is the second biggest value? (a) l (b) y (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 899 and 7688?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 - 5468?\nAnswer: -5468.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + n + 22 = 0, -d + 4*n + 2 + 2 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of o**4*w + 4*o**3 - 6*o*w - 28*o - 31473*w wrt o?\nAnswer: 4*o**3*w + 12*o**2 - 6*w - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -71 - -68. Let z = -11 - -10. Sort y, 4, z in increasing order.\nAnswer: y, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - l = 9211, 0 = -2*h - 3*h + 5*l + 15365. Let t be 6\/8 - h\/12. Is (t\/(-2))\/5*(-868)\/(-42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**3\/7 - 18142412*r**2\/7 - 181424484*r\/7 - 163282068\/7 = 0.\nAnswer: -9, -1, 4535613","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3260508752?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f + 7*f + 2*o + 10*o - 67, -2*f - 42 = -o for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2574 divided by -33?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f**3 + 7*f**3 + 0*f**3 - 4 - 9*f**3.\nAnswer: -3*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*j**5 + 18*j**4 + 4*j**3 - 36*j**2 - 2*j + 18 = 0. Calculate j.\nAnswer: -1, 1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 11*o = 0. Solve -4*t + o = 12 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 33*f + 3. Let r(z) = -11*z - 1. Let w(l) = -7*r(l) - 2*s(l). What is the units digit of w(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 divided by -1424.\nAnswer: -1\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13 - a6?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p**5 + 470*p**4 + 448480*p**3 + 895530*p**2 + 447525*p = 0. Calculate p.\nAnswer: -255, -1, 0, 351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -181194, -182155, -183116, -184077, -185038?\nAnswer: -185999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4722, 18725, 41894, 74091, 115178, 165017?\nAnswer: 223470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-20)\/(-9)))\/((-363)\/88).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -3*u**3 + 208*u**2 + 140*u + 205. What is k(70)?\nAnswer: 205","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let j be (-12)\/22 + (-4 + 10 - 459\/66). Which is the second smallest value? (a) 188 (b) 3\/7 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13332 and 19392.\nAnswer: 213312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 112411219 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*u - 49*u - 43*u.\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26078 + -26071. What is the smallest value in -4\/3, n, -0.026?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0 - (10 + -9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-1\/33))\/m)\/m*m*m**(-12)*(m\/m**(-21))\/(m**15\/m) assuming m is positive.\nAnswer: m**(-133\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 5244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 9*p + 39. Suppose -48 - 51 = -11*v. Calculate the remainder when 77 is divided by n(v).\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**3 + y - 1. Let n(m) = m**3 + 5*m**2 - m + 1. Let h(p) = -n(p) - 2*z(p). List the prime factors of h(6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhm when three letters picked without replacement from hhmmmhhhhhqqyhmhmhh?\nAnswer: 110\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -5*q + 35, -q + 3*w + 8 = -9. Which is the closest to 0? (a) q (b) -5 (c) 0 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z + g + 19 = 0, -2*g - 8 = 0. Let q(b) = b**2 + 1853 + 2*b - b - 1864. What are the prime factors of q(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4645, -8864, -13083, -17302?\nAnswer: -21521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -3*j - 1. Let h be 7\/2*(-2 - j). Solve 0 = -2*u - h + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o + 8. Let z(j) = 5*j + 15. Let p(g) = -7*r(g) + 4*z(g). Give p(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -573\/1370 - -5\/274. Which is the second smallest value? (a) -16 (b) 7 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 30, -2, -1, 5, -0.12?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - (-8)\/28) + (12240\/(-14))\/(-20). What is the greatest common factor of g and 3773?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in -18, -1824, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1967 and 0.4?\nAnswer: -786.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 2 + -11 + 23 + 118 + -123 + 87?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66837 - 63063 = -4*z + 584138. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-9)\/72 + 1161\/8. Let w = b - -90. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -64655 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 4, g: 5, b: 3}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(168)\/sqrt(6) + sqrt(28))\/(sqrt(64)*-3).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0\/(-2))\/(21 + -20). Let n(u) be the third derivative of 0*u**3 + 6*u**2 + t*u + 0 + 1\/15*u**5 + 1\/3*u**4. What is w in n(w) = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 - 3282\/(-3)) + 1*-4. Suppose -5*z + u = -269, 2*z - 5*u - 47 = 56. Calculate the remainder when z is divided by (8\/(-6))\/(13\/(y\/(-8))).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 minus -1785.37?\nAnswer: 1785.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000022487204 rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.13324 litres to millilitres.\nAnswer: 30133.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8497 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 11974 divide 1704870094?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 4*c - 2. Suppose -6*r + 2*r + 64 = 0. What is the highest common factor of r and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.5, 24\/11 in decreasing order.\nAnswer: 5, 24\/11, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8162.483nm to centimeters.\nAnswer: 0.0008162483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -1.63\nAnswer: 0.163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7829016 divided by 184\nAnswer: 42549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 524390958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 3*d = 3*f - 9, -d = 2. Suppose -53*p + 50 = -43*p. Solve 2*u - f = p for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 240 = 80. Suppose 2*i = x - 90, 5*x - 413 - 2 = 3*i. What is the highest common divisor of t and x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**2 - 3*p - 23. Let i(q) = -18*q**2 + 42*q**2 + 46 - 758*q + 763*q - 15*q**2. Give -3*i(l) - 5*x(l).\nAnswer: -2*l**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -22 - (426\/(-52))\/(591\/1576). Let k(y) = y + 3. Let j be k(-2). What is the nearest to j in -1\/2, g, 0.4, -1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2382479 = -13484*x + 13473*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (9 + -3 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1271264961?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 77230247 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 921807935 is divided by 7014?\nAnswer: 7013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the second derivative of -9\/2*h**2 - 1\/20*h**5 - 25*h + 7\/12*h**4 + h**3 + 0. What is the units digit of s(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 494.7 - 494.9. Let m = 8 + -7.6. Sort 0.04, 3, o, m.\nAnswer: o, 0.04, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 364654?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 8*a**2 - 3*a - 8. Let g be i(-4). Suppose 51 = u - g. List the prime factors of u.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 37407774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -13*h + 86, m = 4*h - 11 - 22. What is the remainder when 1861 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 14 = -2*f, 3*f - 4*m = 5*f - 14. Suppose -f*z = -2*z - 10. Solve 4*g + 33 = 5*b, -z*b + 4*g + 3 = -3*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 - 4*w**2 + 2*w**2)*(3 + 1 + 1).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(750)*-2)\/(sqrt(90)*-3 - sqrt(90)).\nAnswer: 5*sqrt(3)\/6 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 51. Let z be (-5)\/(b\/(-8))*25. Suppose -4*c - 3*j = 2*j - z, 5*c - 3*j - 25 = 0. What is the remainder when 34 is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 36 = -34 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vpvpv. Give prob of picking 2 v.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 640664 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 + 5*u**2 - 2*u. What is the smallest common multiple of s(-3) and -5 - ((-4)\/8*44)\/(-5 - -7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -294 + 297. Let z be g\/2 + (-33)\/6. Sort z, 2, -6 in descending order.\nAnswer: 2, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 176*x**4 - 126*x**3 + 4*x**2 - 24*x + 640707125?\nAnswer: 704*x**3 - 378*x**2 + 8*x - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - (45\/6 + -3)) + 2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 6) + 0 + -10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 x, and 2 k when four letters picked without replacement from ttkkkktkkkrxrtkkrf.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 510612632 to the power of 1\/6, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(2\/23))\/v*v*v*v*(v**(-5)*v*v)\/v*v)**22*(v*v\/v**(1\/2))**42\/(v**(2\/7)*v*v**(-1\/5)*v) assuming v is positive.\nAnswer: v**(50576\/805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123 + -21?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -39. Suppose s*v - 7*v = 7. Let p be -1 + (19 + -18)*v*1. Let l(r) = -r**3 - r**2 + 3*r + 1. Calculate l(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 3 + 3. Let l be 0\/2 - (4 + -9). Let g = y + l. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 7085*v - 836028. Calculate x(118).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (24\/(-16))\/(1\/2). Let p = i + 25. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(26)\/(sqrt(200)*-2).\nAnswer: -sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of z**4\/8 - 35*z**2. Let q(i) = 12*i**2. What is q(a(r))?\nAnswer: 108*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 649753 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 14 = -4*a - 54, 0 = -3*z + 3*a for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -137107389*y - 122565175*y - 581559820*y + 4*y**4 - 3*y**4 + y**4 + 99265421312 - 3776*y**3 + 2673408*y**2.\nAnswer: 2*(y - 472)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74896 (base 11) in base 13?\nAnswer: 3a739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/33 in 9, 0.13, -45\/79?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56556105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-8)*2)\/(20\/(-160)). Let q be u + (329\/35)\/((-2)\/(-10)). What is the greatest common factor of q and 102?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Let u be (-7)\/4 - (-1)\/(-4). Let x be 7*(-2 - (-5 - u)). Solve h*z + x*j - 28 = 2*j, -4*z = 4*j - 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q. Let j be ((-3)\/2)\/((-4)\/(-56)). Let l be 20*((-1)\/(15\/j) + -1). Solve q*n - l = 2*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -336, -1\/9, 1, 6498 in increasing order.\nAnswer: -336, -1\/9, 1, 6498","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*s**2 + (-5*s + 4*s + 4*s)*(1490*s - 427*s - 202*s).\nAnswer: 2585*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 4*s**2 - 3*s + 4. Suppose -2*v = v - 9. Let b be c(v). Suppose -8 = -b*n + 36. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 9 - 2)*(-70*b - 13*b + 37*b).\nAnswer: -736*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - v + 16. Suppose 0 = -3*p + 4*f - 17, 0 = -3*p - f - 2*f - 3. Let h be t(p). Solve 20 = 6*d - h for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 718 - (-56)\/(1 - -6) - -4. Is 6580\/9 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 2*g**2 + 10*g. Let u be j(-5). Suppose -54 = -0*i - 2*i + 4*v, 4*i - 5*v - 117 = u. Let c = -11 + i. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000860471 rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 799740325 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -80472, -160923, -241316, -321651, -401928, -482147, -562308?\n\"Answer: 29*k**2 - 80538*k + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 62183*h**3 + 99*h**2 + 66. Let n(f) = 18655*f**3 + 30*f**2 + 20. Determine -33*n(w) + 10*s(w).\nAnswer: 6215*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54708*i + 815 - 815.\nAnswer: -54708*i","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-244)\/(-12))\/(4\/6) and 2\/6 - 46\/(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 64 - 34 - 30 - 205*s**2 to the form i*s + f + u*s**2 and give u.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1, 89, 2 in descending order.\nAnswer: 89, 2, 1, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - -23?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/50 and -1\/225?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207202928.\nAnswer: 2, 12950183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/78*-3 - (-324)\/78. Suppose -w*c + 4620004 = 2*l, 5 = -c + 6*c. What is l rounded to the nearest one hundred thousand?\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11723, -11833, -11943, -12053, -12163, -12273?\nAnswer: -12383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 8*v - 14 = 2*q, 4*v - 9 = q. List the prime factors of 1 - (-6)\/2 - v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -590 divided by -118?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -14124 (base 6) in base 12?\nAnswer: -1344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 741 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4566 (base 9) in base 3?\nAnswer: -11122020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(3 + sqrt(343))**2.\nAnswer: 168*sqrt(7) + 1408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(200) - sqrt(200)*1 - sqrt(200)).\nAnswer: -sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -303780.95 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96707 and 1981369?\nAnswer: 2249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -846, -1661, -2434, -3171, -3878, -4561, -5226?\n\"Answer: -p**3 + 27*p**2 - 889*p + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -790*f + 3013?\nAnswer: -790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + d + 3. Let l be y(0). Suppose -2*g + 10 = -4. Suppose -g*b - b = -280. Solve 7*k - l*k - 5*c = -b, -5*k + 4*c = 37 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 + 11*l**2 + 4. Suppose -4*g - 4*i + 44 = 0, -2*i + 44 = 4*g + 3*i. What is the lowest common multiple of k(g) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 PM and 9:57 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, -3, 8\/5 in decreasing order.\nAnswer: 3, 8\/5, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 183 - 167. Suppose 2*r - 2*v + 1 = -v, -5*r - 3*v = -14. Solve -2*u + 2 = -q*y, 0 = u + 2*y + 8 - r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143 = 27*l + 141 + 121 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-5) - (-4 + 4 + 1)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 215258*l**2 - 4*l**3 - 215389*l**2 + 23*l**3 to the form z + m*l**2 + w*l + n*l**3 and give m.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21 + p - 12 - 9.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 7*s - 6*s. Let r be -3*6\/99 - s\/11. What is the closest to r in -1\/5, -0.5, -7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in centuries?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 10*a**2 - a - 3. Let s(x) = 8*x**2 - 4*x - 8*x - 8 + 21*x**2 + 13*x - 4*x. Calculate 6*s(i) - 17*y(i).\nAnswer: 4*i**2 - i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1035*u - 2068*u = -1052*u + 429324. Is u a multiple of 209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*k, 5*d - 3*k = -k - 3. Suppose -3*a + 19 = -q, -q + 5 = 2*a - d. Solve -3*l + 2*t + 11 = -3, 26 = a*l - 4*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32898, -65653, -98410, -131169?\nAnswer: -163930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**6\/120 + c**5\/60 - c**4\/24 - 2*c**3\/3 + 4*c**2 - 17. What is h(0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 r when three letters picked without replacement from qqvqqggyvgqqvgr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -12*v**2 + v - 1. Let t be d(1). What is the smallest common multiple of (-2)\/13 - (-106)\/13 and (-220)\/t + (-1)\/3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6039045?\nAnswer: 3, 5, 67, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the third derivative of -181*w**5\/3 - 2057*w**4\/24 - 3577*w**2. Find the second derivative of v(a) wrt a.\nAnswer: -7240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -11*n**3 + 1901*n - 604752.\nAnswer: -33*n**2 + 1901","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62 and 1147?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -6 + -4 + 7?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (648 + 3)*8\/(-8). Let v = 931 + s. Does 10 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z**2 - 3*z. Let b(g) = -18*g**2 - g - 6. Let c(o) = 39*o**2 + o + 14. Let v(m) = -7*b(m) - 3*c(m). Determine -4*f(r) - 3*v(r).\nAnswer: 13*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t + 40 = 0. Let q be 6\/(-2)*(-10)\/(-3). Let p(a) = a**3 + 10*a**2 - 2*a - 4. Calculate the smallest common multiple of t and p(q).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 16*a + 20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - h = 46, -f + 7 = 5*h - 3*h. Solve -12*i = -15*i + f for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 5*i + i - 23, -9 = 3*i. Let q = 170 + 450. Suppose 0 = x + 4*x - 5*w - q, -4*x - 5*w + 469 = 0. Calculate the greatest common factor of l and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16638 and 2478?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((((-4012)\/374)\/59)\/((-86)\/11))\/(-2))\/1?\nAnswer: -1\/86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -234*m - 92*m - 34*m to the form t + o*m and give o.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**2 + n + 148. Let x(c) = 4*c**2 + c + 77. Calculate -3*g(a) + 5*x(a).\nAnswer: -a**2 + 2*a - 59","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4165 (base 7) to base 5.\nAnswer: 21333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(242) - (sqrt(162) + 1)**2.\nAnswer: -163 - 29*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 17479 - 17482. Put s, -0.03, 0.06, 1, 4 in decreasing order.\nAnswer: 4, 1, 0.06, -0.03, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a8933 (base 16) to base 15.\nAnswer: -50b9c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/(-78) + (62\/12 - 1). Solve 2*m - n*d + 30 = 12, 3*m = -3*d + 18 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -8*g + 45. Let h be x(-6). Let m = h - 56. What is the remainder when 255 is divided by m?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.1 + -0.1. Let p = 3 - h. Let g(t) = 14*t - 99. Let f be g(7). Which is bigger: p or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1049 + 1044. Let f(m) = m**3 + 4*m**2 - 6*m - 7. Give f(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1144 = -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (79 - 71 - (30 + (1 - 10))) + -35.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -1 + 1 + -49 + 51?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 2020112011101?\nAnswer: 2020112011110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1969)\/(-385) - 5)\/(2\/(-10840)*-4). Which is smaller: 154 or i?\nAnswer: 154","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38 - -18. Let y = 22 + t. Solve 4*m - y*s = 0, -2*m = 3*m - s + 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -1. Solve v - 7 = -5*y + m, -3*y + 5*v + 4 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1016009522?\nAnswer: 2, 11, 17, 2716603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1277\/(-8939))\/((-18)\/56))\/((-166)\/3)?\nAnswer: -2\/249","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -435*o + 12. Let l be k(-2). Suppose -27*s - 15*s = -l. Calculate the remainder when 1028 is divided by s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 44*c**2 + c - 1. Give p(1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (1 + -7)) + -7 - (-4 - -66) - -9.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 PM and 6:12 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 55.1 + -84.8. Let l = -30.002 - -0.002. Let u = l - a. What is the second smallest value in -2\/7, u, 0.4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arrhbazbaghhhaaargaa. What is prob of picking 1 z and 1 r?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -1.031, 10, -0.046, 4\/3 in increasing order.\nAnswer: -1.031, -0.046, 0.1, 4\/3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196125 and 50?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/23, 46, -238989, -2\/15 in descending order.\nAnswer: 46, 2\/23, -2\/15, -238989","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 - 2*t + 173. Let j be v(12). Solve 0 = -3*x, 2*x - j = 5*y - 0*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 132 - 82. Calculate the least common multiple of f and 15.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 432348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.145224 to 3 dps.\nAnswer: 11.145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4*(-6*(4 + sqrt(252) + -1)**2 + 4).\nAnswer: 864*sqrt(7) + 6244","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 4 (c) -2\/9 (d) -265 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - r + 3*y + 23 = 0, -3*r + 17 = -2*y. Solve 0 = p + b - r*b - 2, p = 3*b + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 6 + -935043?\nAnswer: -935039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 23 = -17. Suppose -2*n = -2*i - 0*i + 160, -l*i + 4*n + 241 = 0. Let b = -3 + i. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70563303617 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -0.2, -2\/11, 5 in increasing order.\nAnswer: -0.2, -2\/11, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2846990*p*w**4 + 3847263*p wrt w.\nAnswer: -11387960*p*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -1376.405594 to 1 dp.\nAnswer: -1376.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 385819 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68))**2*-2 + 3 + -2 + sqrt(17).\nAnswer: -135 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.16 - -0.14. Which is the fourth biggest value? (a) 2\/5 (b) -4\/5 (c) m (d) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:55 AM and 11:27 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -11*x**4\/12 + 17*x**2\/2 + 19*x. Differentiate f(k) wrt k.\nAnswer: -22*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z**5 + 0*z**5 + 7*z**5 + (0*z**3 + 3*z**3 - z**3)*(2*z**2 - 3*z**2 + 2*z**2).\nAnswer: 10*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4*p**2 - 46*p - 4. Let m be b(-11). Solve m = 10*r - r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (398 - 4*a - 26*a + 26*a + 286 - 40)*(-9 - 12 + 7).\nAnswer: 56*a - 9016","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1565*q + 1879 = 1488*q + 4959 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1906 - 1943769907.46.\nAnswer: -1943769907.6506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6426703362.99999971 - 6426703418. Let d = -55 - p. What is d rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/423 or -0.01?\nAnswer: -10\/423","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 53 = 31 + 15 for u.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q + 4*r = -1664, -r = 2*q - 829. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldagkkg. Give prob of picking 1 a and 1 d.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-102)\/(-14) - (-1 + (-36)\/(-28)). What is the second derivative of 19*i - 2*i**3 - s*i - 4*i - 3*i**2 - 5*i + i**2 + 43 wrt i?\nAnswer: -12*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(5) + (sqrt(20)\/sqrt(4))**2) + ((sqrt(80)\/sqrt(4))\/sqrt(4))**2)*2.\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -3.2, -74557 in increasing order.\nAnswer: -74557, -3.2, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (9765\/(-5859))\/(10\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 210\/400*(-920)\/115?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*t + 264 = 0, -4*l + 536 = -0*l + 4*t. Calculate the remainder when l is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184993 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4948*t**4 + 6633*t**2 - 2?\nAnswer: 118752*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -57842\nAnswer: 2892.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -10*k**2 + k. Let i(j) = -61*j**2 + 163*j. What is i(x) - 5*o(x)?\nAnswer: -11*x**2 + 158*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 14*v + 16 = -10*v, 5*v - 17 = 3*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3685\/25 - (-4)\/(-10). Let b = 2 + c. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*q + q - 163, 0 = 5*q - 3*h - 240. Suppose 1 = 2*a + p, 18*a + 25 = 23*a - 2*p. Calculate the least common multiple of a and q.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1012010021021 (base 3) to base 7\nAnswer: 5242156","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y\/(y**(-6)*y))))**(2\/45) assuming y is positive.\nAnswer: y**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1*1)\/(2637\/586). Let y = -5 + 5.5. Put 0, q, y in decreasing order.\nAnswer: y, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*v**2 + 64265*v - 192840.\nAnswer: 5*(v - 3)*(v + 12856)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(204)\/(sqrt(300)*-6 - sqrt(12)).\nAnswer: -sqrt(17)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x - 9*x - 42 = 0. What is the least common multiple of 18 and x?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1975492595?\nAnswer: 5, 395098519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 401226*b**2 - b + 46559 wrt b.\nAnswer: 802452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50528204.\nAnswer: 2, 12632051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2471299720.\nAnswer: 2, 5, 61782493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 6 + 7*h**2 + 2 + 4 + 3*h**4 - 22*h**2 = 0. What is h?\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 + 5*t**2 + 3*t + 1. Let z be k(-4). Which is the closest to -1\/4? (a) -0.2 (b) z (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -216 - -208. Which is greater: n or -1\/41?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1403.6881 + 0.3119. Let z = h + -799. Let n = z + -604.9999743. Round n to six dps.\nAnswer: 0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225*u**4 - 1373115*u**3 - 2379274*u**2 + 707708*u - 48808 = 0. Calculate u.\nAnswer: -6101, -2, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -4*x + 8, -3*r + 3*x = 5*x + 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/18 and 65\/358.\nAnswer: 3222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39 + (-6720)\/175)\/(0 - 63\/(-10))?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 103, 97, 87, 73?\n\"Answer: -2*n**2 + 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 4. Let y = -31 + 35. What is w(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2. Let i be s(1). Let u be (-4 + -1)\/(i\/(-3)). Let p = 17976 + -17962. Which is greater: u or p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that 2*t**5 - 42*t**4 + 10*t**3 + 4194*t**2 - 21060*t = 0.\nAnswer: -10, 0, 9, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 <= 134\/35?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -1) + 242\/(-88).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 + 12*r**2 + 2*r + 1. Let d(m) = 62*m**3 + 26*m**2 + 4*m + 1993. Let q(g) = d(g) - 2*z(g). Find the first derivative of q(s) wrt s.\nAnswer: 180*s**2 + 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 64425210, 64425206, 64425200, 64425192, 64425182, 64425170, 64425156?\n\"Answer: -k**2 - k + 64425212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 363641 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8.4, 479, 0.03 in decreasing order.\nAnswer: 479, 0.03, -8.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29.9 + 45.82. What is h rounded to 1 decimal place?\nAnswer: 15.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 40. Let f = -23 - k. Suppose -f*h + 180 = -7*h. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-18)\/(-27))\/((-4)\/6). What is the smallest value in -2, 0.4, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170426 to the nearest integer?\nAnswer: 413","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - 2)*(-5*b + b - 9*b)*(114 + 27 - 13)*(0 + 4 - 8) in the form u*b + m and give u.\nAnswer: -13312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14951 is divided by 43.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 499917133 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 f(n) be the first derivative of n**3\/3 - 3*n**2 - 49*n + 3583. Give f(13).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 41 - 867\/21 - ((-331)\/7 + -1) and 16?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.3 + 14.2. Which is smaller: -1\/9 or j?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2528 and -0.5?\nAnswer: 2528.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = 2*d - 11, -3*g - 2*d + 1 - 18 = 0. Let l(j) = -j**3 - 6*j**2 + 6*j - 2. Let m be l(g). Solve m*q + 12 = 2 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16)\/(-8) + (-9 - -7). Sort 16\/13, -3, n in descending order.\nAnswer: 16\/13, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 3*a, 155*v - 156*v - 2*a + 11 = -3. Factor -1\/5 + 13\/5*f - 49\/5*f**3 - 7*f**v.\nAnswer: -(f + 1)*(7*f - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.0044 (b) -2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*g - g + 4*g)*(5*g + g - g) + (-202*g**2 + 203*g**2 + 509*g**2)*(1 + 1 + 0) to the form n*g + w*g**2 + x and give w.\nAnswer: 1010","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 2\/15, -1, -15\/16, -3?\nAnswer: -15\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 5 + 1)*(2*w - 4*w + w)*(153 - 242 - 1056) to the form t*w + r and give t.\nAnswer: 2290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3 - 543345*t**2 + 44547566*t.\nAnswer: t*(t - 543263)*(t - 82)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 1717719 to the nearest 100000.\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*m + 4*m + 0*m)*(-30*m**3 + 49569 - 49570 - 28*m + 33*m**3).\nAnswer: -6*m**4 + 56*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -169*u**6\/120 - 39*u**4\/4 + 3*u**2 + 2. Find the second derivative of h(q) wrt q.\nAnswer: -1014*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -2*f - 3*w + 6, 2*f = 4*w - 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + -12. Suppose -4 = 4*a, -f*w + 3 = -5*a + 2. Calculate the smallest common multiple of (w - (-14)\/(-4))*-4 and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/2 + 281*k - 78961\/2.\nAnswer: -(k - 281)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - v**2 - v + 3900. Let x = 2 - 2. Let h be i(x). Round h to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12734, -12733, -12732, -12731, -12730, -12729?\n\"Answer: n - 12735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 12189*h**2 - 84*h + 3. Let c(w) = -4063*w**2 + 24*w - 1. Give -7*c(g) - 2*l(g).\nAnswer: 4063*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/8)*o*o**(-6))**(-4)\/((o*o**(-2\/7))**(-19\/5))**(-26) assuming o is positive.\nAnswer: o**(-701\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 414 - 409. Let a(m) be the second derivative of 0 + 5*m - 1\/2*m**3 + 0*m**2 + 0*m**4 + 1\/4*m**x. Find the second derivative of a(t) wrt t.\nAnswer: 30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 228 + -225. Let x = k - 3.3. Which is greater: 12 or x?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -5, 3, 0.4, -8, 7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5 + 11716*y**4 - 117236*y**3 + 281402*y**2 - 257965*y + 82082.\nAnswer: (y - 7)*(y - 1)**3*(y + 11726)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3885 and 25.\nAnswer: 19425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 5 + 3)*(2*l - 4*l + l + (2*l - 7*l + 3*l)*(4 - 3 + 0)).\nAnswer: 9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 19121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**3 + 3*x**2 - 4*x + 2. Let n be w(-4). Let o be (2 - (-1 - -3)) + 2. Suppose -j = -o*j - y + 3, -n*y = -j. 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(y) = -9*y**3 + 3*y**2 + 3*y + 2. Let p be v(-1). Suppose -r = p - 11. Suppose r*m + 15800 = -m. Round m to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 47669520 to the nearest integer?\nAnswer: 6904","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**9*g*g)\/g**(3\/7) assuming g is positive.\nAnswer: g**(81\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 397123.\nAnswer: 139, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnuzzzzjnznjizuij. What is prob of picking 1 z and 1 i?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.099614297 times 0.5?\nAnswer: -0.0498071485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (396\/(-15))\/(4\/60) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/4 and -9\/6846083?\nAnswer: 27384332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 48\/5 of a microgram in nanograms?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -87773 (b) 2\/9 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6582 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: Find the common denominator of 1\/2211 and 31\/402.\nAnswer: 4422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 14*g**3 + 317*g**2 - 8*g**3 + 12*g**3.\nAnswer: 18*g**3 + 317*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5287\/5 + 1054. What is the third smallest value in 0.5, -0.4, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.015 * 0.0418.\nAnswer: -0.585827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -10750000*d**2 + 5*d - 5. Let s be i(1). What is s rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p - 6*p + 18 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17605 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2361098 to the power of 1\/2, to the nearest integer?\nAnswer: 1537","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 591552\/(-10112) + (-4390)\/(-76).\nAnswer: -14\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - 12*c**2 - 25*c - 12. What is k(-10)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8731?\nAnswer: 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is e (base 15) in base 7?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - 21. Let u = f + 8. Determine i, given that u*i + 2*i**2 + 3 - 3 + 2*i = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29884 + 29883.73. Put f, 2\/7, -3\/31 in descending order.\nAnswer: 2\/7, -3\/31, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -5*r - 13, 3*r - r + 6 = 2*p. Let a(v) = 2*v**2 + 2*v**2 - p*v**2 - v**2. Let x(q) = 3*q**2. Calculate x(a(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(45\/198*220\/(-2750))\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 86\/(-473) - 2\/((-462)\/(-8043))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1046 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2941*c**3 + 3*c**2 + 12*c + 6. Let o(i) = 1773422*i**3 + 1808*i**2 + 7232*i + 3616. Determine -1808*l(g) + 3*o(g).\nAnswer: 2938*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -f**5 - 1106*f**4 - 202098*f**3 + 29916*f**2 + 5517099*f + 10914750 = 0.\nAnswer: -875, -231, -3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 13) in base 16?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 68920 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t. Let y(a) be the second derivative of 5*a**3\/6 - a**2 - 5*a. Let u(p) = -6*j(p) - y(p). Calculate the remainder when 19 is divided by u(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, d: 5, x: 12}. Give prob of picking 1 x and 1 k.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 + 2*j + 4. Let u be r(-3). Let g = u + -16. Suppose -3*a - 540 = -g*a. Is 15 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72217650 less than -4386360?\nAnswer: 67831290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/15 + 46*v**2\/15 - 124*v\/15 + 16\/3 = 0. Calculate v.\nAnswer: 1, 2, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 23207 take away 56.76?\nAnswer: 23150.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 18*m**2\/5 - 976*m\/5 + 216\/5 = 0.\nAnswer: 2\/9, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 3*(-1 + 2*(0 + sqrt(76)) + sqrt(76) + -3)*-3 + 5.\nAnswer: -54*sqrt(19) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2174 and 6.39338?\nAnswer: 6.61078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m = -2*g + 36, -89*g - 5*m = -93*g + 52 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10876?\nAnswer: 2, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.6*0.17919.\nAnswer: 0.645084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -94 + 18. Let q = -130 - a. Is (-4146)\/q - (-2)\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = c - 28. Suppose c*m - 5*m - 110 = -5*p, m - 30 = -p. Suppose 0 = p*t - 29*t + 879. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-270)\/(-387)) + 3 + 6\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 2.5. Let n be (-10)\/12*2*(-1)\/5. Is n < c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 136 and 62?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 751 - (-1 + 0)*(33 + -34). Suppose 2*a - 30 - h = 0. Is 65 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108327 + -31109. What are the prime factors of p?\nAnswer: 2, 38609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30681 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17089 + 41339. List the prime factors of n.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -176 + 171.93. What is v rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*r + 3*r + 9, -4*g + 4*r = 0. Suppose -5*x = 0, -y + 5*x = -2*y - 4. Are y and g nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**2. Let t(i) = -29*i**2 - 3020*i + 3020*i - 13*i**2. Give t(d(o)).\nAnswer: -1050*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 81*a**2 - 890*a + 412. Give z(68).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 277744 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/5200 and 57\/7150?\nAnswer: 57200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 3\/5, 4\/3, -5, -27?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140018 divided by 18.\nAnswer: 70009\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1019956481?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8 + ((-2)\/(-2))\/(1\/1). Suppose -5*l = -11 - r. Let a = -0.4 + -4.6. Put a, 0.2, -5\/2, l in increasing order.\nAnswer: a, -5\/2, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of v**3\/6 + v**2\/2 - v. Let u(m) = -7*m - 8. Suppose -2*l = 5 - 11. Determine l*u(k) + 24*r(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 3. Calculate l(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*h - 45 = -0*t + 5*t - 3*t, 15 = -t + h for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the third derivative of 3 - 13\/24*v**4 - 23*v**2 + 0*v - 169\/12*v**3 - 1\/120*v**5. Factor b(x).\nAnswer: -(x + 13)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10\/(-4)*36\/(-30). Suppose -2*o + 1 = -d*o. Calculate the remainder when (3\/(-6))\/(o\/142) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/212 and -53\/5120.\nAnswer: 271360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*s = -59*s - 62*s + 10143 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t**3 - t**2 + 6*t - 3. Let l(d) = 3*d + 56. Let f be l(0). Let p = f + -54. Let v be k(p). Solve 2*j - v = -3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/2306 and (-19)\/126 + -2 + 36\/84.\nAnswer: 20754","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**10*u)\/(u*u**18\/u*u))\/((u*u*u\/(u\/u**(-1)))\/u*u\/((u\/(u*u\/u**5))\/u)) assuming u is positive.\nAnswer: u**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -69531 divided by -49.\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from godgdkhdhkfgdo?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -135 - 165. 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: What comes next: 291838, 583739, 875666, 1167631, 1459646, 1751723, 2043874?\nAnswer: 2336111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -2\/9 (b) 272 (c) 3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 minus 32?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 6) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6630 divided by 1105?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -48 divided by -8834\nAnswer: 24\/4417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.91 * -0.095.\nAnswer: 1.51145","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 235481 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: Find the second derivative of -32920*n**3*o*v**3 + 3*n**3 - 11*n*o*v**3 - 3*n*o*v**2 - 4*n*o*v - 2*n*v**2 + 3*n*v + v**3 wrt n.\nAnswer: -197520*n*o*v**3 + 18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.02143 - -0.07857. Let k = 4 + -25. Are d and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8981389 by -528317.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 4:03 PM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 7 = -c, 0 = -3*v - 0*c - 2*c - 10 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 480*p**5 - 392*p**5 + 196*p**5 + (15*p**2 + 8*p**2 - 9*p**2)*(-2*p**3 + 3*p**3 - 2*p**3).\nAnswer: 270*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 30 = -4*w - 71, 4*w + 3*m + 21 = 0. Let o be (-2)\/w + 192\/108. Suppose 0 = 3*y - f - 1014, -y + 5*f = o*y - 1026. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/40349 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -21.8 + 40.4. Let t = -15 - -34. Let l = t - i. Which is the second biggest value? (a) 1 (b) -0.4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 33*f**2 + 47*f**2.\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of 400*q - 190*q**2 + 80\/3*q**3 + 5\/4*q**4 + 79. Suppose i(g) = 0. Calculate g.\nAnswer: -20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**2 - 7*i**2 + 16*i**2 + 467*i**3.\nAnswer: 467*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 10 = w. Is 1\/2 - 135\/w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1383, -1373, -1353, -1317, -1259, -1173, -1053?\n\"Answer: a**3 - a**2 + 6*a - 1389","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 473*y**3 - 4822*y**3 + 4401*y**3.\nAnswer: 52*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 19 = -5*r, 13*n + 5*r = 16*n + 26. Put 1, -5, n in descending order.\nAnswer: 1, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 995158 in ascending order.\nAnswer: 0, 5, 995158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - -8) + -4 - 0) + -6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102, 5, 1, 3, 27 in decreasing order.\nAnswer: 102, 27, 5, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30 or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 45065276 (base 8) to base 3\nAnswer: 200022011110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 8. Let v be c(-3). Suppose -2*g + v = -13. Suppose 6*m = g*m - 75. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 89547468 a multiple of 124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) -10\/9 (c) -6863 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 15133664 divided by -14?\nAnswer: -1080976","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 2 + 0 - 4*q)*(q - 5*q + q).\nAnswer: 6*q**2 + 6*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2051139340 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p - 2*l + 27 - 45 = 0, 2*p + 5*l = -21 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -185694365 - 222*u**3 + 185694365.\nAnswer: -222*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*g = -179, 2*a + g = -4*g + 97. Calculate the remainder when a is divided by 29.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -18 + 8. Let m = -14 - a. Let s = m + 4.00004. Round s to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 51 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27.16851mm to centimeters.\nAnswer: 2.716851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 - 290*k - 1983. Calculate a(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2769 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: What is -10010000121 (base 3) in base 16?\nAnswer: -ef44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 58*l - 60*l. Let q be 5\/l*(-18)\/45. Which is the smallest value? (a) q (b) 0.19 (c) -0.4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2441612920 rounded to the nearest one million?\nAnswer: 2442000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*t**3 + 9*t**3 - t**3)*(-3 - 2 + 4 - 4*t).\nAnswer: -12*t**4 - 3*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 40 and 56.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2266021788?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9, 4 in decreasing order.\nAnswer: 5, 4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37397*v = -37393*v - 7668. What is the highest common divisor of 923 and v?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18690, -35, -2 in decreasing order.\nAnswer: 18690, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 48372677 to the power of 1\/3, to the nearest integer?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*o**3 + 28*o**3 - 172*o + 2349*o.\nAnswer: -2*o**3 + 2177*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -136 - -258. Which is smaller: v or 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.4 - 0.3. Sort -4, s, 0.4 in descending order.\nAnswer: 0.4, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003468 to three decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of 23*h**5\/60 + h**4\/24 + h**3\/6 - 4*h**2. List the prime factors of w(-2).\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t when two letters picked without replacement from tttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 - l**2 + 10*l + 2. Suppose -9 + 24 = 3*a. Suppose -a + 7 = 2*j. Let v(z) = -z**2 + z - 1. Let b(g) = j*x(g) - 6*v(g). Calculate b(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fjjjfvjvjvjjfjjfjjv. Give prob of sequence jj.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 313, 9, 307, -3 in descending order.\nAnswer: 313, 307, 9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of j**7\/42 + 4*j**5\/15 + j**4\/24 - 19*j**3\/6 + 2122*j**2. Find the second derivative of p(q) wrt q.\nAnswer: 60*q**2 + 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 6:39 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13045 + 15970. Is 2927 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 8 - 2831?\nAnswer: -2824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -15.2. Let l = -2.909 + 7.909. Which is the nearest to r? (a) 0.4 (b) -0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1544 greater than or equal to -1545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d - 12. Let i be p(-8). Let n be -4 - (4\/(-2) - i). Suppose 2*q + 5*l = -4 + 42, -n*l = q - 18. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 190074 + -190072. Solve 9*x - 1\/3*x**o + 0 = 0 for x.\nAnswer: 0, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8)*w\/(w**(3\/7)\/w))\/(w**(-3\/2)*w*w\/(w**(-9)\/w)) assuming w is positive.\nAnswer: w**(-237\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 5*m = -73, -2*o = 2*o - 4*m - 84. Let p = o + -11. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q**4 + 9*q**3 - 22*q**2 = 0.\nAnswer: -11, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 106104 + -1503?\nAnswer: 104401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + a + 4. Let t be d(-4). Suppose t = 2*m - 2. Suppose 5*h - 75 = -0*h - 5*o, 0 = -5*o - 25. What is the remainder when h is divided by m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.4? (a) -10\/3 (b) -0.5 (c) -1.4 (d) 1\/3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 20 = -2*y, -5*t + 5 = -y - 0*y. Suppose y + 1 = 3*f. Suppose -i + 5*s - 3785 = 4*i, i + 766 = -f*s. What is i rounded to the nearest 100?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 28.9. Let k = h - -0.1. Let w be (-4)\/6*6\/(-8). What is the third smallest value in w, k, -2\/13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-11)\/(-440)*8.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-28) - 2\/(-4). Let k be (-414)\/(-1560) + -1 + 1. Let o = k - 1\/65. Which is the second smallest value? (a) r (b) o (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 89370 = 48*b - 89174, -2*y + 24 = -4*b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(-1)\/(-1) + 8\/(-6). What is the fourth biggest value in 2, a, 0.5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 20, 34533, 4, -5, -1 in decreasing order.\nAnswer: 34533, 20, 5, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310833 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.03, 319.64, 2\/11 in ascending order.\nAnswer: -5, -0.03, 2\/11, 319.64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*o = 143*o + 126 + 1122 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4666242843 to the power of 1\/6, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 2*t + 8*t)*(-6*t**3 + 16*t**3 + 4*t**3) - t**4 - 2*t**4 + 0*t**4 + 4*t**4 - 7*t**4 + 4*t**4.\nAnswer: 54*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 0, -459 in descending order.\nAnswer: 43, 0, -459","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -37284, -37288, -37294, -37302, -37312, -37324?\n\"Answer: -m**2 - m - 37282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 37? (a) 1 (b) 0.2 (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 8*y. Let l = 204 + -206. Calculate u(l).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39\/15 + (0 - (-8)\/20). Solve 4*r = r + w for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -72. Suppose -z = -5*z - 16. What is the units digit of z\/(-12) - h\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 - -44. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-5)*(-117)\/25935*-50\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18 - 23. Let o = 0.01 - 0.01. What is the closest to -2\/7 in 0.5, o, q?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 613 = -5*u - 1781. Suppose q = 3*q - 162. What is the least common multiple of u and q?\nAnswer: 1539","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s**3 - 13 + 13 + 2*s**3.\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1159.645 years?\nAnswer: 13915.74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -9*l - 27 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13409600)\/(-3016) - 2\/13. What is the highest common factor of 234 and g?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a litre in millilitres?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-15))\/((-609)\/(-20300))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-76)\/42 + 4\/6)\/((-110)\/55). Let p(z) = 1. Let k(h) = 2*h + 1. Let y(n) = -k(n) - 2*p(n). Let a be y(-2). Is q less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 148*w**2. Let d(k) = -77455*k. Calculate t(d(f)).\nAnswer: 887892999700*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -34?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*r**2 + 105144 - 105144.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -11781?\nAnswer: 5\/11781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 136*c**2 + 9*c - 1211. Suppose 0 = -0*a + 4*a - 28. What is the lowest common multiple of f(136) and a?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*o + 6451287 = 6458937 for o.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 73970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**4\/4 + 86*o**3 - 5043*o**2\/4 - 5557*o\/2 - 1432 = 0 for o.\nAnswer: -358, -1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**5\/20 - z**4\/6 - z**3\/3 + z**2 + 11*z. Let n(u) = -u**3 + 3*u**2 - 1. Let i be n(2). Calculate g(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 4784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 15 = 0, -5*o + 32319 = -2*y - 4035. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/15 and 151\/4422.\nAnswer: 22110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4.65, 0.7, 4\/5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -238722 * -0.46.\nAnswer: 109812.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 580.\nAnswer: 2, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5639897 and -0.4.\nAnswer: -2255958.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 46761 and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.1, 11.4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**4\/v*v**1\/v)\/(v**6\/v*v\/(v\/(v\/(v**(3\/4)*v)))*v))**(-4\/27) assuming v is positive.\nAnswer: v**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 41 - 26*m + 7*m + 0 - 2 - m**2. Suppose -6*g - 6 = 120. Let t be z(g). Put 5, 1, t in descending order.\nAnswer: 5, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 39 = d, d - 3*d = 3*b + 28. Let o = 16 - 27. Which is smaller: b or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15626 - 15628. Put 81, -14, x in increasing order.\nAnswer: -14, x, 81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**3 + 50*l**2 - 47*l - 98. Let d be q(49). Solve 5*a = -r - 20 + 4, -2*a + 2*r - 16 = d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8 - ((-3)\/(-4))\/((-5)\/(-20)). What is the closest to 1.1 in 2\/11, l, 0?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 2*y = -2*s - 10, 2279*y - 1145*y + 21 = 1130*y + s for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8009 is divided by 68.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 2*y - 7*y + 2454 - 2447. Let q be f(0). Let i(w) = w**2 - 5*w + 1. Determine i(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002569 to four dps.\nAnswer: -0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 5*n + 3*l, 2*l + l = -3*n + 24. Let s be 9 + -4 - n\/2. Suppose 0 = -s*i + 4*c + 50, 3*c = i - 0*c - 25. Solve v - i = -4*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -33*u**3 - u**2 - 2*u - 1. Let k be g(-1). Let t be (-204)\/k + 4\/22. Is (-224)\/t + 2\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**2)**(-23)*v*v**4*v**(-1\/6)*v assuming v is positive.\nAnswer: v**(173\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1008) - (1 + sqrt(1008))) + sqrt(1008) + sqrt(1008))**2 - (1 + 2*sqrt(1008)).\nAnswer: -216*sqrt(7) + 4047","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 324 times -5016\nAnswer: -1625184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/(-4))\/((-4)\/32))\/(-6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -78223 - 0.6571\nAnswer: -78223.6571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -18, -89, -230, -477, -866, -1433?\n\"Answer: -6*l**3 + l**2 - 32*l + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 17 = -w, -o - 2*w - 16 = -3*o. Let k(p) = -p**3 + 3*p**2 - 3*p + 2. Calculate k(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 62.524 and -0.5.\nAnswer: 62.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/22, 0.3, -1\/4855?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*p**5\/5 - 14*p**4 + 138*p**3 + 280*p**2 - 392*p\/5 = 0. Calculate p.\nAnswer: -14, -2, 0, 1\/4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of 13*a**4\/6 + a**3\/6 + 3*a. Does 9 divide t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*u + 86. Let j be ((u\/(-2))\/(-1))\/(15\/15). Suppose 0 = c + j*c - 130. Calculate the highest common divisor of 104 and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 12) to base 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 4*b - 31, -27 = -4*a + 2*b - 7. Let n be (12\/16)\/(a\/36). What is the greatest common factor of n and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5863543 and 2348?\nAnswer: 23454172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2 - 12*t - 23. Is a(13) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.31 - -0.99. Let c = 0.7 - f. Let h = -0.02008 + c. What is h rounded to 4 dps?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13274, 15457, 17640?\n\"Answer: 2183*t + 11091","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -296640 smaller than -296799?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110122 (base 3) to base 11.\nAnswer: -24a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 9:13 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + 11*w**2 - 8*w**2 + (w - 4*w + w)*(w - w - w).\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 24. Suppose -32 = -8*g + w*g. Calculate the remainder when (-2 - (-18)\/12)*-112 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.45 - 0. What is m rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7202857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 11*j. Let q(z) = -8*z**2 + 7*z. Let h(a) = 7*a - 13*a + 12*a**2 - 5*a**2. Let x(u) = 7*h(u) + 6*q(u). What is x(k(y))?\nAnswer: 121*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 4*n = 43 - 55, 0 = g + 8*n - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -0.1. Let h = 545\/6 + -91. Let i = h + 1\/2. Which is smaller: s or i?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9d (base 15) in base 8?\nAnswer: -224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-780)\/(-2925))\/(2616\/(-180))?\nAnswer: -2\/109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -200057081*o + 203081115 with respect to o.\nAnswer: -200057081","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h - 9. Let w be r(-6). Suppose 18 = 2*f - 3*z, -z + 29 = w*f - 6*z. Calculate the remainder when 3 is divided by f.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -72, -464, -1564, -3726, -7304?\nAnswer: -12652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-583)\/(-154)*7)\/((-2)\/(-20)).\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3 + 309*v**2 + 308*v = 0. What is v?\nAnswer: -308, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 147 - -0.136603439614.\nAnswer: 147.136603439614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73082 or 270?\nAnswer: -73082","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (((-14)\/(-7))\/(-18))\/((1\/1)\/(-4))\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*20082\nAnswer: -2008.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 1762684.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 7 = -4*f. Let l be -4*(f - 1 - 3). Suppose 0 = -y + 3 - 2. Sort y, -1, l.\nAnswer: -1, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -12 + -2 + 7 - -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12 and 428?\nAnswer: 1284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p. Let o(r) = 47*r**2 + 11*r. Determine -o(d) + 4*x(d).\nAnswer: -47*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 111, 420, 929, 1632, 2523, 3596, 4845?\n\"Answer: -x**3 + 106*x**2 - 2*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 8*y**5\/5 - 7*y + 1. Differentiate r(j) wrt j.\nAnswer: 32*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 92*n + 6 - 92*n - 3*n**2 to the form h + v*n + d*n**2 and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/27*((-2)\/12)\/(460\/8280)?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-75072)\/(-105984)*(1*9)\/((-3)\/(-2))?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w + 22860 - 136340 = 286780. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -217 in -2\/5, 216, -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*z = 12, -15*z + 3 = -a - 13*z. Let h(t) = 3*t**3 + t**2 - 7*t + 9. Determine h(a).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 71839.39 to the nearest one thousand.\nAnswer: 72000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/3)\/((-22)\/11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 401, 803, 1205, 1607?\n\"Answer: 402*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 1\/2 (c) 0.17 (d) 13 (e) -79\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + 1. Let s = c - 4. Let u be ((-18)\/(-48))\/(s\/4). Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 137, 0.204, 5 in increasing order.\nAnswer: 0.204, 5, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 79*i + 31 + 601 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/32*-4*30\/(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/12 + (-4)\/((-36)\/(-51)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 39 = 3*v, -52*h + 51*h + v = -27. Solve 16*f + 40 = h*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -1. Calculate the greatest common divisor of z and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 + -50. Let c = -76 + n. Let f be (-2)\/10*(-15)\/9. What is the second smallest value in c, -1\/2, f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -282.66 - -280.51. Sort j, -7, 5 in decreasing order.\nAnswer: 5, j, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - 1. Let n = 20 + v. Let w = -268 - -411. Calculate the highest common factor of n and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 1872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -w + 57. Suppose s - w = -5*l, 0 = 3*s - 1 + 4. Solve 0 = 3*y - 5*m - 1, 3*y - 4*y = l*m + 11 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 5*q + 23*q + 8*q - 9*q + 21.\nAnswer: 27*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 25*b**2 + 490*b - 12562. Determine x(25).\nAnswer: -312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -826 (b) -2\/9 (c) 3 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -5400 divided by 6\nAnswer: -900","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49.45 - 41.5. Let m = -8.25 + k. Which is the nearest to -1\/4? (a) -4 (b) m (c) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, n: 2, a: 1}. What is prob of picking 1 c and 2 n?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6737*i + 87518 = -320545 - 79593 + 63225 for i.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*w**5 + 254*w**4 - 1800*w**3 - 1760*w**2 + 7040*w + 2976 = 0 for w.\nAnswer: -31, -2, -2\/5, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 1024.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7230 = 108*c - 93*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1950*k - 1612*k + 509*k + 166*k + 43305 for k.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -58594, -58486, -58378, -58270, -58162, -58054?\n\"Answer: 108*k - 58702","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 6:24 PM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 10469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 7*a - 3. Let i be j(-6). Let u = -21 + 16. Let g = -0.01 + 5.01. What is the second biggest value in g, i, u?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fifififfif. What is prob of picking 1 f and 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (61 + 9 + 3191)*(3*u**4 - 2*u**4 + u**4) in the form w*u**2 + l*u**3 + t*u + m + s*u**4 and give s.\nAnswer: 6522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 77 a factor of 7950299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -48*u**2 + 1. Let w be o(1). Let x = w + 81. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*n = -30. Suppose 3*a + 2*t - 3 = 2, 2*t = -n*a + 15. Suppose -j + 12 = a*l, 4*l = -2*j - j + 3. Solve 4*k = l*k + 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(11)*-2 - (sqrt(11) + (sqrt(99) - (sqrt(99) - sqrt(99)*-1))\/sqrt(9))) + ((sqrt(11) - -4*sqrt(11)*-2) + 5)**2.\nAnswer: -72*sqrt(11) + 566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = 6*r - 60. Sort r, -9, 2 in ascending order.\nAnswer: -9, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94, -79, -60, -37?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**2\/7 - 14275098*f\/7 + 14275096\/7 = 0.\nAnswer: 1, 7137548","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 3. Let z(s) = 17*s**2 - 16*s. Let b(d) = 2*d - 7*d + d + 5*d**2 - d**2. Let i(y) = 9*b(y) - 2*z(y). Calculate i(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 95.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 269, 371, 569, 869, 1277?\nAnswer: 1799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f + 68 - 140. Let q(k) = k**3 - 11*k**2 - 12*k + 3. Let y be q(f). Suppose y*o - 576 + 63 = 0. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 130 + -126. What is the biggest value in d, -5, -8?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 150 divide 624485?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 26028793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 23737 = -0*l. Suppose 683 = g - 2*c, g - 6*g + 2*c = -l. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -148 (b) -339 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-749*g - 437489 + 437489)*(17*g + 392 - 392) + 0*g**2 - 3*g**2 + 4*g**2 + (-5*g + 2*g + g)*(g - 2*g + 3*g) + 0*g**2 - 2*g**2 + 3*g**2.\nAnswer: -12735*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 24 = -5*x - 21, 165 = -4*n + 5*x. Let v = -15 - n. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 72\/(-15)*(8 - 3). Let g = 32 + m. Let h be 36\/g - (-6)\/4. Solve h = -v + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9\/5 + -2. Which is greater: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30.4 + -15.1. Let d = h - 15. Let c be 0\/2 + -2*2\/82. Put c, d, -0.1 in descending order.\nAnswer: d, c, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50657700 to the nearest 100000.\nAnswer: -50700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) + 2)**2 + 0 - -6*sqrt(187)\/(sqrt(11)*-1))*-3.\nAnswer: -5112 - 102*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + (55 - 25) + 1 + 43?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + r - 7014 = 0, 53*q = 52*q - 3*r + 1400. What is the hundreds digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 198*p - 208*p**5 - 63*p + 276*p**5 wrt p.\nAnswer: 1360*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 + v + 12. Suppose r + 0*r = 0. Does 12 divide p(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1352 + 94. What are the prime factors of m?\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l + 6. Let p(o) = -o + 1. Let d(m) = -2*n(m) + 14*p(m). Let g = -216683 + 216680. What is d(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1589 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2226965.\nAnswer: 5, 13, 34261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17662570?\nAnswer: 2, 5, 941, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-464)\/(-12) - (-2)\/6?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 - 4*w**2 + w - 3. Let y = -20 + 69. What is the remainder when y is divided by j(-5)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - t - 7 = 0, 3*b - 9 = b + t. Suppose -3*a = -b*a. Solve 5 = -a*u - u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -33. Let g be (-48)\/s - 4\/(-18). Solve 0 = g*v + 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78 = 68*x + 58. What is the smallest value in -2\/9, -3, x, -26, 5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**3 - 5*f**2 + 4*f - 10. Let p be m(4). What is p rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 - 25*f + 17. Give m(7).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 639?\nAnswer: -2556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 3574725100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s - 5. Let i = -11 - -15. Suppose -3*b - 18 = i*m, -s*m = -0*m - 2*b + 11. Is m at least as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3121?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 28*q + 81. Let k(y) = 58 + 8 + 0*y**2 + 2*y**2 + 57*y + 96. Let f(n) = 5*b(n) - 3*k(n). Is f(-20) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-4\/11)*x)\/x)*x**(8\/11)\/x*x)**(2\/85) assuming x is positive.\nAnswer: x**(46\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 810\/2700*(-40)\/252.\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/3))**(-2\/3)\/(p\/((p*p\/((p\/((p\/(p\/(p\/(p**(-1)*p))))\/p)*p)\/p))\/p)*p)**(-33) assuming p is positive.\nAnswer: p**(598\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 42?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 344*f + 153. What are the prime factors of x(2)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 31*q + 2150 = 0. Suppose -4*f = -q - 186. What is the tens digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-55))\/(2\/(-10)). Let z = -206 + 374. Let v = -171 + z. Which is the third biggest value? (a) -2 (b) f (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*z - 3 - 2 + 15*z**3 - z - 16*z**3 in the form k*z**2 + x + h*z + s*z**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2813 - 1561. Let w = -217 + z. Let s = -2810 - w. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + 7*u + 6. Let b = 23 - 16. Calculate the least common multiple of 1 and g(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3, -4, 3, 5, 335 in decreasing order.\nAnswer: 335, 5, 3, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 164 divide 15588*(-15 + (-189)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 + 0 = 0. Is k*79 + (22 - 21) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b30 (base 12) to base 10\nAnswer: -3348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q - 5. Let x be k(2). Put 62, -2, -3, x in ascending order.\nAnswer: -3, -2, x, 62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/2 (b) 0.1 (c) -0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 285 (b) 14 (c) -21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/90)\/((-51)\/850*-5)?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 b when three letters picked without replacement from {r: 2, u: 5, b: 3, w: 5}.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6488\/939 or 7?\nAnswer: 6488\/939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ini when three letters picked without replacement from {n: 5, i: 13}.\nAnswer: 65\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 - -946073937004.4.\nAnswer: 946073937004.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kn when two letters picked without replacement from {n: 2, k: 7}?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 28\/(-12) - 702770\/(-186)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/3 (b) -19\/27 (c) 3.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11*48\/176*-4*1\/(-2)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.263 + -40203.\nAnswer: -40201.737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**4 + 54*b**3 - 168*b**2.\nAnswer: -3*b**2*(b - 14)*(b - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 3 (b) -0.2 (c) 0.5 (d) -165\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 + (-1)\/(-3))*15\/10. Let h = -97 + 94. What is the second biggest value in t, h, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 726 is divided by 35*2 - (-676)\/169.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (13 + -1) - -10 - 13 - (0 - -37).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21182 or -21183?\nAnswer: -21182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are -8\/39 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6813, -6822, -6853, -6918, -7029, -7198, -7437?\n\"Answer: -2*b**3 + b**2 + 2*b - 6814","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/(-26620)*-44)\/2?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 + -7. Suppose l*o = o. Suppose 2*x - 11 = -5*h, o*h + 2 = -4*h + 2*x. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 1850*t + 14 + 14 - 39.\nAnswer: 1850*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1275 and 170.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 9, -1\/2, 0.8889 in decreasing order.\nAnswer: 9, 3, 0.8889, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -5. What is the smallest common multiple of 7 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -56212160 to the nearest 100000.\nAnswer: -56200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/40 of a decade?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 593 - 584. Let f(l) = -l**3 + 9*l**2 - 6*l - 11. Let q be f(8). Solve -q*b = -2*b + y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6191 rounded to two decimal places?\nAnswer: -1.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 - 2*s**2 - 6*s + 3. Let f be z(4). Suppose 4*b - 97 = 2*v - 87, 0 = 3*v - 4*b + 7. Sort 5, v, f in decreasing order.\nAnswer: f, 5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2205 and 1233.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + -40?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12386642?\nAnswer: 2, 17, 364313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 20046, 40068, 60088, 80106, 100122?\n\"Answer: -a**2 + 20025*a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1830 and 2135?\nAnswer: 12810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**(2\/29)*h)*h*h*(h*h**(-3\/10))\/h)\/(h**(-2\/27)\/h**(2\/21)) assuming h is positive.\nAnswer: h**(98677\/54810)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5079?\nAnswer: 3, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 313, 207, 53, -149, -399?\nAnswer: -697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/5 - 647*v\/5 - 648\/5.\nAnswer: (v - 648)*(v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -87 (base 10) to base 16\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 31. Let k(o) = -o. Let z(s) = 20*s - 10. Let j(l) = q*z(l) - 4*k(l). Differentiate j(n) with respect to n.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n = 5*t, -2*t + 18 = 2*n. What is the least common multiple of n and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -172, -170, -168, -166, -164, -162?\n\"Answer: 2*n - 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -91 or -88?\nAnswer: -91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((0 + sqrt(1900))**2 - sqrt(1900)) + 1 + (1 + -2 + sqrt(19) - (sqrt(19) + sqrt(19)*1)*-3) + 2.\nAnswer: -3*sqrt(19) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*6*(-6*(1 + sqrt(612))**2*2 + -4).\nAnswer: 864*sqrt(17) + 44160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m + 12 = -9. Let p(z) = 6*z**2 + 4*z - 2. What are the prime factors of p(m)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -327 - 1607 = -2069*j + 6818 + 14007 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + h - 376 = 0, 5*y + 0*h - 469 = -h. Is 6 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 1410*x. Let u(w) = -8*w**2. Give y(u(d)).\nAnswer: -11280*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (u + u + 2*u)*(0 - 1 - 1)*(-888 + 4801 - 1994 + 6548) to h*u + t and give h.\nAnswer: -67736","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 2103*u**4\/4 + 21*u**2\/2 - 44*u + 2501. What is the second derivative of t(y) wrt y?\nAnswer: 12618*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -53165 (base 15) to base 13\nAnswer: -92c78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-2)*(-54)\/(-45). Calculate the remainder when (-1)\/f*(-55 - 2) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 200468.7 (b) 2 (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*p = 108 + 2100 for p.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13687 (base 13) to base 7.\nAnswer: 210523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 19 + -34. Is (-890)\/g - 3\/9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 a when four letters picked without replacement from {a: 4, f: 7, g: 1, n: 6, z: 2}.\nAnswer: 8\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90436 and 52099.\nAnswer: 983","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z**2 + 13*z - 9. Let o be i(4). Let x = 100 - o. Solve -x = 2*r - 3*d, -2*r = -r - d + 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 2 = -0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32710 - -985. Calculate the greatest common divisor of 115 and j.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 6*z - 2*z)*(z**4 - 5595*z**2 - 2*z**4 + 5636*z**2 + 7*z**4).\nAnswer: 6*z**5 + 41*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 320167222?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -77 = -12*g + g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 - 3) + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1232 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 (base 10) in base 15?\nAnswer: 12e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-752)\/(-470)*5\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51*4\/(-42) - -4)\/((-996)\/(-46480)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0 - 1)*1)\/((-69)\/138).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/31? (a) 0.13 (b) 2 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 9*f + 22. Let z be (2 + f\/2)*36. Let j = 43 - z. List the prime factors of j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 363*a + 26. Let c(w) = 134*w - 204*w - 51 - 655*w. Let d(v) = -3*c(v) - 7*g(v). Is d(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-6)\/(-15)) - 8. What is the second smallest value in -2\/11, -4, -1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 10, h: 1, d: 7, p: 1}. What is prob of sequence dd?\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = l**2 - 2*l + 2. Let p(o) = 1089*o**2 - 968*o + 968. What is -484*j(y) + p(y)?\nAnswer: 605*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/367 - -20546\/1101. What is the common denominator of -41\/78 and b?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 380 and 89221460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 91\/441 - (-4)\/18.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j**4 - 40372*j**3 - 3*j**2 + 17171*j - 3 wrt j.\nAnswer: -12*j**2 - 242232*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -16365?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -0.2 (b) -2 (c) 0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 162 + 89 + -108 + (-20 - 0).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20 - -20. Suppose 2*k + 0*k - 6326 = q. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.382 + 0.382. Let m be 15\/(-3)*(-4)\/(-30). What is the second biggest value in m, -5, 1\/3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -876 (b) 2\/11 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 16*a**2 - 4 + 2 to d*a**2 + g*a + m and give d.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -4*q - 5*x, -11 - 10 = -q + 4*x for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 973372 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - z = -124. Let u = -24 + z. Suppose -5*o + 4*v - 5 = -66, 49 = 5*o - v. Calculate the lowest common multiple of o and u.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -41200.73 + 41371. Let a = k + -171. Let c = 0.694 + a. Which is smaller: 1\/4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11966, -11951, -11936, -11921?\nAnswer: -11906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*q - 203, 32 - 199 = -2*q + 3*h. What are the prime factors of q?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.087281+-86591.2221\nAnswer: -86591.134819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -521\/77 + 54\/11. What is the common denominator of 76\/3 and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -473362*j + 473409*j + 127 + 47 to p*j + i and give p.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p**2 + 12*p - 14. Let q be j(5). Let w be (3 - (-6)\/q)\/((-6)\/616). Let l = 231 + w. What are the prime factors of l?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, -2, -2\/11, -2\/19, -4 in ascending order.\nAnswer: -4, -2, -2\/11, -2\/19, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*a**3 + 18*a**2 - 18*a**2 - 15*a + 11*a.\nAnswer: -27*a**3 - 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 3*u - 9*u**3 + 11 - 10*u**2 + 8*u**3. Let r = 23 + -33. Does 4 divide o(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z. Let d be s(3). Suppose -2 = -p - 0*p. Let o be p\/(-3) - (0 + -1). Put 4\/3, o, d in descending order.\nAnswer: 4\/3, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2429?\nAnswer: 7, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 34 = -5*f, -4*c - 5*f + 10*f - 26 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -51 - -60. Suppose -3*a = -0*a + 6. Let p(w) = 4*w**2 + 4*w + 2. Let q be p(a). Are q and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6477252 and 144.\nAnswer: 77727024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - 175?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 231 = -7*w - 10, -m = 4*w - 117. What is the remainder when 839 is divided by w?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.06, 0.2, -5, 3\/5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qoobqqbobqbhhk. Give prob of sequence hob.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4313 is divided by 134?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 + 12*r + 3. Let d be l(12). Solve 0 = -5*f - w - d, -9 = f - 0*w + 3*w for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/1089, 5\/2, -2\/3.\nAnswer: -2\/3, 5\/1089, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -2 + 11 + -22.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -13 + k**2 + 25 + 13*k - 12 - 12*k. Let a(j) = 12*j**2 + 6*j. Determine a(o) - 6*p(o).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n. Let p(a) = -31*a + 38*a - 6 + 38*a + 35*a - 14*a. Let m(i) = -63*i + 5. Let t(g) = -6*m(g) - 5*p(g). What is -4*t(c) + 66*y(c)?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 2\/5 (b) 44\/31 (c) 1\/4 (d) 4 (e) -0.1 (f) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21236, -21227, -21204, -21161, -21092, -20991, -20852, -20669?\nAnswer: -20436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(11\/3)\/(j*(j\/(j*j**(-21)))\/j)*j*j**19*j**(-31) assuming j is positive.\nAnswer: j**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + m = 3*d - 10, d = -5*m + 28 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 24?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 2)*(7251*j - 389 + 117 + 134 + 140).\nAnswer: -7251*j - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 102 - -81. Suppose -f + 64 = 4*g, 0 = 6*g - g - 3*f - 63. Suppose -5*t + g = 4*y - 115, -5*y = -4*t - h. What is the highest common factor of y and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41362352 less than -485425?\nAnswer: -41847777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 2632 divide 142822848?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*u**4\/4 - 1137*u**3\/2 + 439923*u**2\/4 - 852750*u + 1687500.\nAnswer: 3*(u - 375)**2*(u - 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -45 - -65. Let v(f) = -f**3 - 2*f**2 - 30*f - 185. Calculate the smallest common multiple of v(-5) and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*i - 4*j + 5625 = 87*i, -2*i + 2238 = 4*j. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213013440?\nAnswer: 2, 3, 5, 37, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3069 and 4892327?\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3328*d**3 + 1610*d**2?\nAnswer: 19968","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 154 a factor of 5464051425?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 132 + 12*s - 21*s**2 - 84 + 3*s**3 + 12*s.\nAnswer: 3*(s - 4)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(117) - (sqrt(117) - (-3 + sqrt(117)*1 - sqrt(117)))) + 2 + sqrt(117) + -3 + -4*2*(sqrt(117) - (-4 + -1 + sqrt(117) + sqrt(117))) + -1)*4)**2.\nAnswer: -38880*sqrt(13) + 184032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -11*b**2 - 7*b - 9. Let n(t) = 5*t**2 + 4*t + 4. Suppose 350 = -1837*o + 1787*o. Determine o*n(u) - 3*g(u).\nAnswer: -2*u**2 - 7*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 255659?\nAnswer: 255659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 697 and 19131953.\nAnswer: 697","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1992 + -3987\/2. Let g = -26 + -21. Put 0.1, g, u in decreasing order.\nAnswer: 0.1, u, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 18227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*k**3 + 4*k**3 + 7*k - 5*k**3 to h*k + b*k**3 + v + s*k**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m - 3*m = 1259 - 1299. Let s = -0.191 - -0.128. Which is the closest to 1? (a) m (b) s (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5218 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -301 divided by 43425\nAnswer: -301\/43425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*v + 1266222 = 117*v. Does 25 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/7 in 0.108, 4, -2\/7?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -172, -174, -174, -172, -168, -162?\nAnswer: -154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-108) + (-97)\/(31428\/1920))\/(4\/18)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-9 + -20) - 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*y = 4*f + 27, -f - 2*y + 22 = 0. Suppose -r = -12*g + 7*g + 2, 0 = -4*r + f. Solve -2*q = 3*k + g, k + 2 + 4 = 5*q for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + u = -4. Suppose o + 6 = 3*o. Suppose -15 = -o*j + w - u*w, -16 = -2*j + w. What is the remainder when 19 is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 4*x = -x + 79, -57 = -3*v + 5*x. Suppose 18*d - v*d = 52. What is the remainder when d is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4086 in -5\/24, 0.2, -2, 2?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l - 1. Let u(x) = 11*x + 75. Let i be u(-7). What is r(i)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z + 2*z + 3 + z**3 + 13*z**2 - 3*z**3. Let h be a(6). Suppose i + 1262 = h*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 3*p - 17. Let h(o) = o**2 + 3*o - 16. Let k(a) = 3*h(a) - 2*u(a). Is k(-6) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 84145, 168304, 252463?\nAnswer: 336622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + h**2 + 26*h + 21. Calculate t(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37295\/34 - -1097. Which is bigger: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 288462283 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1665\/(-74))\/(1310\/(-6288)).\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-634)\/11095 + (915\/175)\/((-3)\/8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 8*s**2 + 6*s - 3. Let q be (2\/(-3) + (-920)\/(-120))*1. Determine b(q).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.33 + -36.97. Let m = z - -42. Put 0.08, m, -3\/5, 0.2 in increasing order.\nAnswer: -3\/5, m, 0.08, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47222821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -80016*o - 1. Let u be g(-1). Suppose -3*s + u = -4*h, -3*s - 2*s - 59975 = 3*h. Round h to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 12676, 13540, 14980, 16996?\n\"Answer: 288*m**2 + 12388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 112 = 3*l - 2*o, -17*l + 5*o + 626 + 297 = 289 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 24c82 + -1a?\nAnswer: 24c65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 8*m**2 + 8*m + 13. Let k be x(9). Suppose -9 = -k*t + 43. Suppose -t*u = -9*u - 12. Solve -5*f + 0 - 19 = -2*h, 0 = -h + u*f + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21717 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*l + 16 = -6*l. Suppose 4*q - 2*w = -q, l*q - w = 3. Solve -4*n = -6 + 26, -q*d = 5*n + 33 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -s**5\/2 + 7*s**4 - 17*s**3 + 4*s**2 + 35*s\/2 - 11 = 0.\nAnswer: -1, 1, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*h**2)*(8303 - 215*h - 8303)*(-4 + 2 + 6) to the form b*h**3 + k + w*h**2 + d*h and give b.\nAnswer: 1720","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.97 - 0.03. Let i = m - -8. Sort -2\/3, i, 2.\nAnswer: -2\/3, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-2 + -29 + -1) - 7.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -7?\nAnswer: -a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 246\/(-4) + 22\/44. Let w = t - -77. Calculate the remainder when 53 is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/((-5)\/(-1)))\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the third derivative of m**4 + 5*m**2. Let z(s) = s**2. Determine v(z(j)).\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24\/160)\/((-189)\/(-6930)*88).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -2*k**2 + 38*k - 33. Let t be s(18). Let w(z) = -13*z + 42. Let p be w(t). Let r = 18 + -12. Solve 5*f + p*a = 1, 5*a - 4 = r for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 5*o + 25 = 0, 5*s - 1248*o = -1250*o - 9 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 2 - 2)*(1 + 1 + 0)*(4*i - i - 5*i) + (-3 + 1 + 0)*(-i + 0*i - i))*(2 + 1 - 1).\nAnswer: -16*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*b - 11*b - 7 = -23*b - 4*s, -13*b + s + 11 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 4*c**2 - 1. Let y(f) = f**3 + f**2 - 1. Suppose -3*d - 5*b + 25 = 2*d, b - 17 = -5*d. Determine d*y(z) - q(z).\nAnswer: 2*z**3 - z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-16 - (-5 + -5)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -10425643.\nAnswer: -417025.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -4*y + 4. Let v(h) = -h + 1. What is -3*d(l) + 10*v(l)?\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 65 - 55. Suppose n*i = 11*i - 4*k - 19, 2*i = -5*k - 14. Solve i*w - 5*w + 4 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -8060220.0745 and 52.\nAnswer: -8060168.0745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-28 - -22)*(-11)\/6. Suppose -2*a = -m + 466, -9*a + d*a - 962 = -2*m. Does 33 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 104 in descending order.\nAnswer: 104, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of -n**4\/24 + 3*n**3\/2 - 2*n**2. Let l(u) = u**2 - 7*u + 5. Let j be l(7). What is the units digit of m(j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/10 - 26\/10. Let r be h\/(1 - (-5)\/(-2)). Suppose -100 = -4*t - 4*u, -r*u + 88 = 4*t - u. Is 10 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63844, 64008, 64280, 64660, 65148, 65744, 66448?\nAnswer: 67260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.3727 to two decimal places.\nAnswer: -0.37","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113 = -5*f - 93. Suppose -5*c - 25 + 90 = 0. Suppose 0 = -f*r + c*r - 27. Solve 7 = r*i - 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 33*g - 230. Let c be w(6). Suppose 11*x - 1155 = -c*x. Calculate the highest common divisor of 55 and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360567939 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 438 and 2583762.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a = 3*z + 9*a - 620, -4*a = 3*z - 608. Calculate the greatest common divisor of 39 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 2*f + 7 + 6, -2*x + 11 = f for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*s = -2. Suppose 0 = 4*z + z - 2*o - 28, -2*z + 2*o = -16. Suppose z*q - 21 = -6*y + y, s*y = -4*q + 18. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*x - 184 = 23*x. Let j = x - 43. Solve 0 = -2*n - j*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3414 - 3419.086. Round u to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1278\/1136*(-32)\/((-12)\/3)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(1 + sqrt(3))*-6.\nAnswer: -12*sqrt(3) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -5*p**2 + 2*p - 2. Let d(o) = -o**2 + o - 1. Let f(b) = 2*d(b) - u(b). Let z(k) = -3*k. Calculate z(f(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 71981 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 - 444*f - 10901. Give n(-26).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*a**5*m - 1122*a**3*m - 211*a**2 - 243*m wrt a?\nAnswer: -900*a**2*m - 6732*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from ooooyyxyxo?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sjsj when four letters picked without replacement from sjffsjfjfjsjf?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -58*g + 1170. Let j(t) = 3*t**2. Calculate c(j(k)).\nAnswer: -174*k**2 + 1170","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -279.5 - -280. Which is the third smallest value? (a) n (b) 0.029 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqq. What is prob of sequence qqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1161 - 1433 = -972*d + 2644 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 2*o - 2. What is f(-7)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 10\/107, -0.3, -24, 2\/7, 1\/62, 1\/6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -1)\/(85\/10).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 7 = 2*v, 2*v - 7 = 3*s + 6. Let j(i) = -7*i + i**3 - 12*i - 10 + 6*i - 13*i**v. Let k be j(14). Solve -1 = 3*n - k for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148156.\nAnswer: 2, 37039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zhhchhqxcchhqthqhh. Give prob of sequence cq.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 10 = -4*m. Suppose 6*k + 739 = m*k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -4, 13382, -5, 7 in ascending order.\nAnswer: -5, -4, -1, 7, 13382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*g + u, 2*g + 3*g + u - 4 = 0. Suppose g*f = 4*f - 2*s, 5*f = -5*s + 15. Calculate the lowest common multiple of 20 and f + -3 - (13 + -35).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110*z**2 + 5*z - 176*z**3 + 0*z - 224*z**2 + 3 + 112*z**2 wrt z?\nAnswer: -1056*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 + 3*y**2 - 2*y + 4. Let z be n(-3). Suppose -12*v = -7*v - 40. Let c = v + z. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 42110, 84263, 126418, 168575?\n\"Answer: b**2 + 42150*b - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 205233 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fggdss. What is prob of sequence sgd?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3a (base 16) in base 11?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yoscsqto. What is prob of picking 1 o and 1 s?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10.66284 milliseconds to seconds.\nAnswer: 0.01066284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31158026*n**2 + 115428710*n.\nAnswer: -62316052","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.00852 + -1.00852. What is the biggest value in -16\/11, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 645 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.026 + 0.674. Let n = z + 11.3. Let x = 12.000042 - n. Round x to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 51*f + 606. Give m(-21).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -159897, -159212, -158527, -157842?\nAnswer: -157157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1853, -1858, -1867, -1880, -1897, -1918, -1943?\n\"Answer: -2*f**2 + f - 1852","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3284*s - 3522*s + 37740 = -6066*s for s.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 2740 = 2930. Calculate the highest common divisor of f and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 557865979?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/9 + (-5)\/((-135)\/(-6)). Sort m, -5, -40 in increasing order.\nAnswer: -40, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6957 divided by 9047?\nAnswer: 6957\/9047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + 0*u**2 + 4*u**2 + 15*u**2)*(0 + 3 - 6)*(-3 + 0 + 4) - u**2 + u**2 + u**3.\nAnswer: 4*u**3 - 57*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of -g**5\/15 + 445*g**4\/3 - 396050*g**3\/3 - 90*g**2 - 2*g - 2. What is s in b(s) = 0?\nAnswer: 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + -1. Let m = -1 - -3. Let g = 7 - 12. Which is the second biggest value? (a) m (b) g (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 131 - 7821055081.\nAnswer: -7821054950","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4*(sqrt(11) + -1 + sqrt(11)) + sqrt(11) - (0 + sqrt(275)))*4)**2.\nAnswer: -8192*sqrt(11) + 49152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -313, -324, -357, -424, -537, -708, -949?\nAnswer: -1272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9505)\/45 - (-4)\/(-18)*-1. Let c = q + 219. Solve p + 3*p + c = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1418224?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 27189198 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*n + 17 = 3*v, v - 2*n = 7. Let j = v + -32\/7. Let y be 11\/(-18) + (-2)\/(-4). Which is the closest to 5? (a) y (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23625 and 3298680?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -7*j**3 - 3*j**2 - 4*j - 1. Let g = 58 + -60. What are the prime factors of r(g)?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 6*a**3 + 2*a**2 + 16*a - 1. Let x(d) = 5*d**3 + d**2 + 15*d. Give 3*b(v) - 4*x(v).\nAnswer: -2*v**3 + 2*v**2 - 12*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -5*q - 347085 + 347085. Let a(h) = 69*h. Determine w(a(m)).\nAnswer: -345*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 16) to base 12.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence moyq when four letters picked without replacement from {y: 1, q: 1, m: 1, i: 1, o: 3, c: 5}.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 86 + -24. What is the remainder when x is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, b: 1, e: 1, g: 1, c: 3, x: 2}. Give prob of picking 1 c and 1 b.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(20) - sqrt(20)*1) + -2*sqrt(20) + 4)**2*-2.\nAnswer: -168 + 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.04968 - -7.04968. Which is the third smallest value? (a) y (b) 2\/43 (c) 1\/2 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5175 * 4.133.\nAnswer: -2.1388275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 15*j**2 + 52*j + 23. Let b be g(18). What is the third smallest value in -1, b, -0.5, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9ea33 (base 16) in base 10?\nAnswer: -649779","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-414)\/69 + -2*3\/6 + 74354?\nAnswer: 7, 13, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61382*q**2 - 46 + 21 + 25.\nAnswer: -61382*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 71974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1960) - -4*sqrt(1960))\/(sqrt(8)*-2*-4 - sqrt(8)))**2.\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 + -37. Suppose l*h + 2 = 5*h. Solve -f + d - 1 = -5, 4*f = -h*d - 8 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/60 of a day in seconds?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36174 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 the first derivative of 64884515*o**3 + 2*o**2 + 29841377 wrt o?\nAnswer: 194653545*o**2 + 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**2 - 5*u. Let o(w) = w**2 + 3*w. Let l(b) = 3*i(b) + 5*o(b). Let r(y) be the second derivative of y**4\/4 - 6*y. Give l(r(q)).\nAnswer: -36*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.07 + 0.07. Let q = 0.15 - -7.85. Let c = q + -7.9. Are c and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 103 + 110221042?\nAnswer: 110221200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -41 + 11 + 21?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -104*v**5 - 464*v**3\/3 + 1401. Find the third derivative of q(x) wrt x.\nAnswer: -12480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 15*a - 12. Let s be h(13). Suppose -r - s = -5*z + 4, -5*r + 2 = -2*z. Let l(f) = -5 + z + 1 - 23*f**2. Let v(p) = 2*p. Calculate v(l(t)).\nAnswer: -46*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*j + 0*j = 196, -3 = j. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -143608.281 - -143927. Let g = -318 + i. Round g to one decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50673 - 50672.9967451. Round q to 4 dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 18*q**2 - 2*q - 38. Give i(-18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6272324 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 61, 122, 183, 244, 305?\n\"Answer: 61*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91772?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + w**2 - w + 8. Let j be c(0). Suppose -h = 4*b - 3*b - j, 2*b - 23 = -3*h. Solve -3*p - 19 = -h for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**3 - 229*m - 249*m - 9*m**3 - 227*m + 705*m.\nAnswer: -11*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (1*(-9)\/6*-2)\/(-1)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - j + 3624. Calculate the remainder when 47 is divided by 10\/65 - j\/26.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102520799 + 67.17\nAnswer: 102520866.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by -356.\nAnswer: 7\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 16 = -7*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*g = 3927*g - 111780 for g.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttbtttii. What is prob of sequence biit?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 8 = -2*t. Let u be 1*-2*t\/(-9). Which is the biggest value? (a) -2\/7 (b) -0.2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = a + 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/2*96\/64?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*d = 0. Factor 0 + 4\/7*l**4 + 2\/7*l**5 + 0*l**2 + 2\/7*l**3 + d*l.\nAnswer: 2*l**3*(l + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 4367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 15 = 13*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.022 (b) 3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -f (base 16) to base 10.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -341 + 367. Calculate the greatest common factor of z and 299.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -72340658*g + 38908346.\nAnswer: -72340658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.353679989 + 100.9.\nAnswer: 103.253679989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and -31.66237.\nAnswer: -15.831185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 5*a - 37030 = 0, 14818 = -0*t + 2*t - a. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61027167 to the nearest integer?\nAnswer: 7812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 2*h - 4*a, 736*a - 733*a = -152*h + 1809 for h.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:12 PM and 1:54 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1582, -6392, -14522, -25972?\n\"Answer: -1660*w**2 + 170*w - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*f - 4*f - 4*f to the form v + u*f and give u.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 39, 5, -5, 1272 in increasing order.\nAnswer: -5, -5\/3, 5, 39, 1272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 3*d**4 - 309*d**3 + 8679*d**2 - 37185*d + 28806. Let h(f) = -f**2 + f - 1. Let t(l) = g(l) - 6*h(l). Factor t(u).\nAnswer: 3*(u - 49)**2*(u - 4)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6332895?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**5\/130 + 8*h**4\/39 - 101*h**3\/39 + 84*h**2\/13 - 1591*h. Factor i(y).\nAnswer: 2*(y - 4)*(y - 1)*(y + 21)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4996*r - 9360006 - 2\/3*r**2 = 0 for r.\nAnswer: 3747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + (sqrt(539) - (-2 + sqrt(539)))*3 + sqrt(132)\/(sqrt(12)*2) + -3 + sqrt(44)\/sqrt(4) + -5)**2.\nAnswer: -34*sqrt(11) + 3195\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 4*w - 2. Give h(-5).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 83581724?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.918 + 3.341. Round h to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 6 = -14. Suppose 0 = 3*y - a - l*a - 3, -5*y - a + 23 = 0. Determine z so that 2*z**5 - 2*z**4 + 2*z**4 + 2*z**y = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 + 8*p + 17. Let k be t(7). Let z(b) = -b - 3. Let o be z(-4). Does 25 divide (k\/3 + o)*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 0*s - s + 4*s + 2*s - 1. Does 8 divide k(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*c - 4*c + 6*c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -73732, -147471, -221214, -294961, -368712, -442467, -516226?\nAnswer: -589989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1272 and 832?\nAnswer: 132288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3 + 2505*i + 3 - 2506*i. Let p(m) = -241*m. Give o(p(s)).\nAnswer: 241*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 48, -516, 5 in ascending order.\nAnswer: -516, 0.4, 5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4106419405 a multiple of 851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -826157999 - 1?\nAnswer: -826158000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8.822898 years?\nAnswer: 0.008822898","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/3)\/(32\/(-48)). Let g be (a - 0) + (-8 - -3 - -137). Suppose -5*z - 4*k = -0*z - g, -25 = -z - k. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1956.62436+39.5\nAnswer: 1996.12436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l + 1020 - 1005 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**4 - 10*k**3 + 304*k**2 - 840*k - 1152.\nAnswer: -2*(k - 6)**2*(k + 1)*(k + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 divided by -4?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 781588.\nAnswer: 2, 37, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, -1\/7, -7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i)**(3\/11)\/(i\/(i*i**(-2\/5)))**(-20) assuming i is positive.\nAnswer: i**(91\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-1) + -19 + 7 + 8. Solve -4*j + 2*u + 6 = n, -24 = -4*j - 3*u - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -2*30\/52.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1001, 7\/2, -4?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5\/3 in 0.5, 0.4, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000125409952 to seven dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 422, 188, 48, 8, 74, 252, 548?\n\"Answer: r**3 + 41*r**2 - 364*r + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2173691452?\nAnswer: 2, 23, 43, 59, 67, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6839049, 2\/13, -0.5, 0.\nAnswer: -6839049, -0.5, 0, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - ((1 - -7 - 8) + -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6820800 and -55\/5568?\nAnswer: 6820800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 4:12 PM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(-2))\/u)\/(u\/((u\/(u**(-1\/3)\/u*u))\/u))*u**(-6)*u**(-2\/7))\/((u**(2\/3)\/u)**(1\/70)\/(u**(1\/3)\/(u*u**(2\/9)))) assuming u is positive.\nAnswer: u**(-5567\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*l + 14 = -2*r + 210*l, 5*r + 2*l + 36 = 0 for r.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-36))\/(8\/(-16)).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -4. Let x(r) = -r**2 + 3*r + 5. Let v be x(0). What is the common denominator of w and 1\/(3\/v)*(-222)\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7926671103 and 0.06.\nAnswer: 7926671103.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 146363\/2 or 73182?\nAnswer: 73182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 20 = -5*k, 5*u + 4 = -3*k + 2*k for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4236.058 centimeters in meters?\nAnswer: 42.36058","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*d - 2. Let u(m) = -m**2 - 7*m - 4. Let i be u(d). Let w be 64*((-6)\/(-8))\/1. What is the highest common factor of i and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -8 - 5\/3*k**3 - 76\/3*k - 14*k**2 = 0.\nAnswer: -6, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6511 and 34734377.\nAnswer: 34727866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**3)\/(o*o**(-7))*(o**(-2))**11 assuming o is positive.\nAnswer: o**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -742\/3 - -245. Let z = -56806\/1209 + 1482\/31. Calculate the common denominator of w and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 3*s + 3. What is the units digit of f(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:46 AM and 3:08 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -19*m**4\/8 + 190*m**2. Let x(j) = -7*j. Calculate x(a(i)).\nAnswer: 399*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f**2 - 1 - f**3 + 3*f**2 - 6*f + 3. Let a be g(5). Let c be 1*-15*1\/a. Solve c*x - x - 5*q - 35 = 0, -3*x = 5*q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -7\/12*b**4 + 0*b**3 - 9\/2*b**2 + 8*b + 0. What is the first derivative of i(f) wrt f?\nAnswer: -14*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 42c92b?\nAnswer: 42c929","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = n - 5*f, -15 = n + f + 3*f. Let r be 28\/(-189)*n\/(-2). Let v = 3 + -3. Which is the third biggest value? (a) r (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37987.49mm to nanometers.\nAnswer: 37987490000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3473 and 0.7.\nAnswer: -2431.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 10:29 AM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/(-1)*(18961\/(-201) - -96). Factor 16\/5*o**4 + 2\/5*o**w - 26\/5*o + 24\/5*o**3 - 12\/5 - 4\/5*o**2.\nAnswer: 2*(o - 1)*(o + 1)**3*(o + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 438239 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2\/7 + 93976*t\/7.\nAnswer: 4*t*(t + 23494)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1 - 73)*95025\/(-1050)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j**2 - 65*j + 348. Let r(f) = -3*f**2 - 32*f + 172. Let b(i) = 4*o(i) - 9*r(i). Calculate b(20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00067265 to 6 decimal places.\nAnswer: 0.000673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -1280 = -275332\/215?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 1\/8, -4, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3*s**2 + 2*s - 1. Let b be z(1). Let x be b\/(-4)*(-30)\/(-3). Find the third derivative of 0*w**5 - 4*w**2 + w**2 + 0*w**x - 3*w**5 wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8889427 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 74 and 8473?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8)\/(((-26800)\/(-201))\/40).\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1696*g - 1919?\nAnswer: 1696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5.755725025893 and -8.\nAnswer: -13.755725025893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*m**2 - m**2 - 3*m**2)*(6 - 11 + 19)*(-4*m + 0*m - m) as s*m**2 + w*m + r*m**3 + f and give r.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 16189179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nre when three letters picked without replacement from enmeneeneememrnemm.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/19 (b) 7 (c) 214\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lgjngnn. What is prob of picking 1 l, 1 g, and 1 n?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -123b8 + 233?\nAnswer: -12185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**26*o*o)\/(o\/o**(-6\/11))*((o\/(o\/(o*o\/(o*o**(-11)))))\/o)\/((o\/o**(-5\/2))\/o) assuming o is positive.\nAnswer: o**(791\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 + -67. Let g = 4092 - 4093. Which is bigger: k or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3536\/5 - -711. Which is greater: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 45978558?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000009028451 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -318, -7, -1, 19, 0, -5 in descending order.\nAnswer: 19, 5, 0, -1, -5, -7, -318","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 224982, 899929, 2024846, 3599739, 5624614, 8099477, 11024334?\n\"Answer: l**3 + 224979*l**2 + 3*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -6*x - 25. Find v such that -v**x - v**5 - 30*v**3 + 26*v**3 - 5*v**4 - v**5 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21 is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 2)*(1 - (-2)\/(-4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 29*m**3 - 3*m**2 + 104*m + 2. What is f(0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -18482220 to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x - 199 + 199 = 0. Suppose 0 = 4*y - 2*h - 3*h - 1099, 1107 = 4*y + 3*h. Let b be y\/(-1113) + (-4)\/(-14). Which is smaller: b or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**2. Let c(v) = -13*v**2 + 29*v. What is c(y) - 6*g(y)?\nAnswer: -y**2 + 29*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of 0 + 1\/24*z**4 + 0*z**3 - 1\/40*z**6 + z**2 + 0*z + 0*z**5. What are the prime factors of x(-1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 + 5*i + 17. Let l be y(6). What is the first derivative of l*a + 15*a + 53 - 3*a + 0*a wrt a?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 25*v**2. Let n(o) = 3*o**2 - 3*o + 9. Let f(b) = 3*b**2 - 2*b + 6. Suppose 0 = 4*d - 40 + 32. Let x(l) = d*n(l) - 3*f(l). Determine m(x(t)).\nAnswer: 225*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 - -1) + (-437 - -440).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 8*d + 3. Let q(s) = -s - 1. Let g(b) = -k(b) - 2*q(b). Let l be g(-1). Find the second derivative of 25*j - 23*j + 7*j**5 - 4*j**l wrt j.\nAnswer: 60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 4*o + 1 = -22, 3*x + 3*o = -12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*t + 18*t + 24 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -507719, -507604, -507489?\nAnswer: -507374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 204695007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6.438 and 450?\nAnswer: 2897.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 9*c + 8. Let j(a) = -9*a - 9. Give -5*i(o) - 4*j(o).\nAnswer: -9*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 7:57 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*r - 54*r + 7*r**2)*(2*r**2 - 4 + 4)*(-1 + 0 + 3)*(2 + 2 - 1).\nAnswer: 84*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1681 = -59*x + 321*x + 137*x + 30808 for x.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 2:05 PM?\nAnswer: 1:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 24*m + 99. Determine r(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {x: 3, c: 2, y: 2, p: 3, k: 2, j: 4}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -9*a**2 - 1471*a - 55272. Give c(-105).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.6 - 0.6. Let s = -2\/1175 - -1183\/4700. Put 3\/2, o, -4, s in ascending order.\nAnswer: -4, s, 3\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6384 and 513?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((14\/42)\/((-1)\/9))\/((-6)\/(-26))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -8129*r. Let k(v) = 6267*v**2. Determine k(a(x)).\nAnswer: 414127377147*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -5*d + 8. Suppose -d*o + 4 = -0. Let v(c) = 4*c**2 + 2*c. Let n(m) = m**2 + m. Give o*v(u) - 6*n(u).\nAnswer: 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*n**4 - 1916*n**3 + 323*n + 221 wrt n?\nAnswer: 528*n**2 - 11496*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 3. What is the highest common divisor of 9 and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 7*j - 167. Let m be x(30). Put -3, m, 0, 3 in decreasing order.\nAnswer: m, 3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 1 = -4*t + 19, -5*q - 5 = -t for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13020 bigger than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 2*s - 2. Let l be t(2). Let j be l\/10 + (-57)\/(-15). Solve -2 + j = d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1 (c) 1549 (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4773*h + 4490*h - 7694 = 12682 for h.\nAnswer: -72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 1 + 3)*(-3 - 9 + 2) + 3 + 4 + 1 + 5 - 1 - 2 + (-3 + 2 + 3)*(0 - 1 + 3))*(3*u - 5 + 1 - 2*u)*(5 + 1 - 3) - 3*u - 2*u + 4*u.\nAnswer: -49*u + 192","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + (5 - 1 - (13 - 10)). Suppose -v*m = -5*h + 42, 0 = 4*h - 3*h - 5*m - 26. Solve -5*c - h = 4 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69376?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: add8d (base 14) to base 15\nAnswer: 852c0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 greater than or equal to -226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3868857?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.09, 1, 63, -0.11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*p - 1129*p - 827*p.\nAnswer: -2042*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -j**2\/9 + 159293*j\/9 + 159296\/3 = 0.\nAnswer: -3, 159296","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 + x**2 + 8*x**2 + (2*x - 3*x - x)*(-3*x - x + 2*x) + (-3 + x + 3)*(2*x + 0 + 0) - 4 + x**2 + 4 - x**2 - 8*x**2 + 2*x**2.\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that c**3\/2 - 13*c**2\/2 + 72 = 0.\nAnswer: -3, 4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41547192.\nAnswer: 2, 3, 31, 55843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -67 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(90\/(-111)) - (-5067)\/(-1126)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5042, -10147, -15332, -20603, -25966, -31427?\nAnswer: -36992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -336 + -2405651\nAnswer: -2405987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 463 - 12.6593.\nAnswer: 450.3407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -170*v + 124*v - 4*c - 42, -4*c + 9 = -5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/8 and -14\/613.\nAnswer: 4904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 42105 (base 8) to base 12\nAnswer: a145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 - 45. Let b be 58\/3 - (33\/c - -5). Calculate the greatest common divisor of 63 and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3763206 and 806796.\nAnswer: 5526","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, -4, 4, -0.06, -314?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -55*f - 3. Let n(t) = -155*t - 3. Determine q(n(k)).\nAnswer: 8525*k + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 29200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f + 6, 4*h = 3*f + 17. Suppose 6*v - v = d - 15, -h*v = 6. Solve -l = a - d + 5, -5*a = -4*l - 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, w: 2, v: 1, b: 2, m: 7, a: 1}. Give prob of picking 2 m, 1 v, and 1 o.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aiyse. What is prob of sequence ys?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fcsmcmffffpppmcpccs. Give prob of picking 1 c and 2 f.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -45321 rounded to the nearest one thousand?\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 5, 2, -1, -4 in decreasing order.\nAnswer: 11, 5, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 236 and 72.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -204, -303, -402, -501, -600?\nAnswer: -699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, e: 1}. Give prob of sequence ne.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-2178.\nAnswer: -6534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 - 3. Let j = -19.9 - k. Which is the biggest value? (a) -2 (b) j (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -1\/5 (b) 6 (c) -6 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3180*a - 5588*a - 1 - 1 + a**2 to the form c*a**2 + w*a + s and give w.\nAnswer: -2408","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w + 3. Let m(n) = 5*n + 7. Let f(c) = -3*m(c) + 7*v(c). Let g(h) = 4*h**2 - 13*h. Let b(l) = 5*f(l) - g(l). Factor b(z).\nAnswer: -4*z*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 310 + -304. Sort 2, b, -14.\nAnswer: -14, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*y**3 - 3*y**3 + 3*y**3 + 2*y**3 - 3*y**2 + 3*y**2 + (y - y - y**3)*(1 - 3 + 3) - y**3 + y - y + 3*y**3 + 2*y**3 - 6*y**3.\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*4\/(-84)*-7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-7)\/p*p**(-1\/3))**(13\/5)\/((p\/((p**(-4)*p)\/p)*p**(-5))\/((p\/p**(2\/7))\/p**6)) assuming p is positive.\nAnswer: p**(-566\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 12*r - 52 = 0, 19*r - 42 = -3*m + 25*r for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -460.4 - -460. Let k = 203 + -203.4. Which is the closest to k? (a) d (b) -2\/3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/14)\/(10\/((-2200)\/(-165)))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.67 + 0.71. Let u = q - -4.96. Let d = -37\/105 - -2\/105. Which is the nearest to u? (a) -0.1 (b) d (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 4 - 8*t - 4 + 0*t - 2 + t**2. Let h be b(8). Let u = h + 8. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 5*v - 8. Let a be b(5). Let l(c) = -34*c**3 + a*c**3 + 5*c - 2*c - 4*c. What is l(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(28) + 4 - (sqrt(7) - 5*sqrt(28))**2).\nAnswer: -6*sqrt(7) + 1689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1030\/(-10) - (-4 - 2). Let j = m - -97. Put -4, 2, j, 9 in descending order.\nAnswer: 9, 2, j, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 72\/5 of a litre?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of 8 - 1\/510*x**5 - 13\/2*x**2 - 1\/102*x**4 - 1\/51*x**3 + 0*x. Let m(w) be the second derivative of p(w). Factor m(z).\nAnswer: -2*(z + 1)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28565 - -54904. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 4908.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 961 + -937. What is the remainder when 7318 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o - 3*o)*(-2*o**2 + 8*o**2 - 2*o**2) + o**2 - 2*o**3 - o**2.\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 5:31 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3238889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2*(-2 + sqrt(1300)) + -2 + ((sqrt(1300) - sqrt(1300)*1)*-3 - (sqrt(1300) + 2)*3))**2.\nAnswer: 800*sqrt(13) + 32564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23040 divided by 5.\nAnswer: -4608","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*b**3 - 12722836*b**2 - 305*b - 85055 wrt b.\nAnswer: 18*b - 25445672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1166 + -12852\/11. Let q = 116\/77 + u. Suppose -3 - 7 = 2*t. Which is the second smallest value? (a) t (b) 1\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.7 + -4.3. Let q = -75.4 - -87. Let m = q - 12.2. What is the second smallest value in 0.3, r, m?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from raj.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + -2 + (-6 - -19) + -20?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 4 - 5)*(32*y - 63*y + 25*y).\nAnswer: -30*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 - 97*m + 518. Give i(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*t + q - 46, 5*t + 4*q = 58 - 45 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 2*x**2 - 2691894*x + 2691892 = 0.\nAnswer: 1, 1345946","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 9*t + 117. Let v(c) = -3*c - 38. Let r(o) = 11*v(o) + 4*z(o). Determine r(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11*y**4 + 1500191*y**2 - 65512861.\nAnswer: -44*y**3 + 3000382*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30*r**2 + 21*r**2 + 95*r**3 - 49*r**2 + 372 + 202*r**3 wrt r.\nAnswer: 1782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/10360900 and -31\/7480?\nAnswer: 352270600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**2 - d**2 - d**3 + (0 + 1 - 10)*(-3*d**3 - 2*d**3 + 3*d**3).\nAnswer: 17*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39437\/616 or -65?\nAnswer: -65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*p - 109*p = 0. Let d(j) be the third derivative of 0*j + p*j**3 - 13*j**2 - 1\/420*j**5 + 1\/84*j**4 + 0. Factor d(g).\nAnswer: -g*(g - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 0) + 2 + 0. Solve 0 = -0*u + u - h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 177139 - -128982. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 172*p - 75*p - 4 - 86*p. Let j(b) be the third derivative of b**4\/4 - b**3\/3 - 29*b**2. Determine -5*j(l) + 3*n(l).\nAnswer: 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express b + 0*b - 30*b in the form z*b + r and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -8. Suppose 4*t + 4 = 6*t, -d*n - 30 = t. Let u(h) = h**2 + 7*h + 8. What are the prime factors of u(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2527043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, o: 1, c: 2, x: 3, l: 7}. Give prob of sequence ll.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*u = 210, 0 = -5*z + 4*z + 5*u + 62. What is the lowest common multiple of 2 and z?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*r + 110 = -16*r. Let y = r - -59. Solve y*g + 14 = 2 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -3937?\nAnswer: 3\/3937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52 + -30 - (5 + 1 + -48).\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18474, -18476, -18480, -18486?\nAnswer: -18494","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -12*u + 3. Let s be c(-3). Let z = -2 + s. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69061, -138141, -207239, -276355, -345489?\nAnswer: -414641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -710379 or -710351?\nAnswer: -710379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (6 - (-2997)\/(-180))\/6 - 5\/(-25) and -37\/3635.\nAnswer: 29080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -bcc + 5?\nAnswer: -bc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**5 + 340*h**4 + 375*h**3 - 2050*h**2 - 1420*h + 2760 = 0.\nAnswer: -2, 1, 2, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 3 + 2*z + z**2 + z**2 - z**2 - 4*z. Let h be g(2). Suppose 2*s + h*s = 5. Which is the second smallest value? (a) -3\/2 (b) s (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, q: 9, s: 10}. Give prob of sequence ssq.\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4960*q - 3671?\nAnswer: -4960","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2211 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -327900, -327939, -327972, -327999, -328020, -328035?\n\"Answer: 3*m**2 - 48*m - 327855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 - 7*p - 5. Let z be (-5 + -3)\/(5 + -6). What is t(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x + 31. Let f be h(5). Let l(t) = -41016*t**2 + 8*t - 14. Let a be l(f). Let u be 4 - a\/3 - -2. What is u rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22833 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -29 (b) 2 (c) -0.186\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 0 + 0)*(3*q**4 - 3*q**4 - 4*q**4 + (3 + 1 - 6)*(5 - q**4 - 5) + 0*q**2 + 0*q**2 + q**4).\nAnswer: 7*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of g**6\/30 + 13*g**5\/20 + 55*g**4\/12 + 25*g**3\/2 + 31*g. Factor w(v).\nAnswer: v*(v + 3)*(v + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) -0.008 (c) -3\/5246 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1070.8 - 956. Let c = 115 - o. Which is smaller: c or 73?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 less than -308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -4, 95 in ascending order.\nAnswer: -29, -4, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-30)\/225)\/(17\/(-5))?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**5\/24 - o**4\/12 + 4*o**3\/3 - 7. Let z(d) be the third derivative of m(d). Differentiate z(i) with respect to i.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 6*v = -2*v - 8, b + 3*v = 16. Suppose -l + 5 = -b. Suppose l = 2*r - 3. Calculate the greatest common divisor of r and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xwwwwwkfxs. What is prob of sequence xfx?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -2483\nAnswer: -5\/2483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*q + 89*q + 15 = -o, o = 343309*q - 343344*q - 170 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -120*x**2 + 120*x**2 + 38*x**4 + (1 + 2 + 0)*(-2*x**4 + 0*x**4 + 3*x**4) - x**4 + x**4 + 2*x**4.\nAnswer: 43*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(((-5740)\/(-123))\/(-35))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the first derivative of h**7\/126 - h**6\/90 - h**5\/60 + h**4\/36 + 4*h + 4. Let v(t) be the first derivative of z(t). Factor v(m).\nAnswer: m**2*(m - 1)**2*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g**2 + 34*g + 2. Let v be j(10). Let f = v - 39. Let d(r) = -2*r**2 + r + 3. Give d(f).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + 3*(sqrt(192) + sqrt(192) + 0 + sqrt(192)))**2.\nAnswer: 19200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13673730, -27347461, -41021192, -54694923, -68368654?\nAnswer: -82042385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = h - 3*g, -9*h = -7*h - 2*g - 14. Suppose -4*f + 26 = 6. Suppose h*i + 4*p - 867 = 295, -p = f*i - 2905. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-14) + 598\/805. Let v = -0.8 - -3.8. What is the biggest value in v, -5, t?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -72.234 + 72. Let d = t - -0.034. Let m = 4.1 + -4.1. What is the nearest to m in -1\/9, 3, d?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 636124, 636136, 636134, 636118, 636088, 636044?\nAnswer: 635986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*w**2 - 43*w**2 + 23*w**2 + 8*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3*((sqrt(612) + -4 + 2)**2 + 4 + -5*sqrt(612) + sqrt(612)).\nAnswer: -1858 + 144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3814 - 1364. Let c = o + -2582.1. Let r = -124 - c. Round r to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t\/t**(-1))))\/(t**(-12)*t) assuming t is positive.\nAnswer: t**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 74 or 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 186.95 - 179. Let n = -8.06 - -0.06. Let b = n + y. Put b, 1\/3, 0.5 in descending order.\nAnswer: 0.5, 1\/3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 plus -1722246051093?\nAnswer: -1722246051041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 177 divided by 6?\nAnswer: 59\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 15*x**3\/2 - 275*x**2\/2 + 285*x - 80 = 0.\nAnswer: 1\/3, 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1403546?\nAnswer: 2, 53, 13241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.27*-0.3\nAnswer: -0.081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/1 + (0 - -11). Let h be (-17)\/2 + (-4)\/(-8). Let o = i + h. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/4 + (-2 - (5 + -2))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 0*m + 2 = r, 3*r + 3*m = 18. Sort -2, r, -5 in descending order.\nAnswer: r, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/3))**(-16)\/((k*k**2)\/(k\/(k**(-2)*k))))**(1\/9) assuming k is positive.\nAnswer: k**(29\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38789 - -38800. Let q(m) be the second derivative of 21*m**2 - 1\/4*m**4 + 0 + 13\/2*m**3 + z*m. Factor q(n).\nAnswer: -3*(n - 14)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 195 is divided by 155.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11355, 22543, 33731?\nAnswer: 44919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 574669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from xztxtxzzzzzoxzxzzt.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 - 77. Let t(v) = -43 + 2*v + z. Let f(o) = 2*o. What is t(f(q))?\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 + 7*r + 5. Suppose 5*k = 0, 5*c + 2*k - 20 = -k. Is a(c) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -140*b - 1250. What is the smallest common multiple of 18 and a(-16)?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.342 in 0.1, 6, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -34.597428 rounded to 0 dps?\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0*d - 210 = -3*x, 0 = -4*x + 4*d + 280. Let f(c) = -x*c + 71*c + 1 + 0 + 3*c**2. What is f(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7424.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 3 - 3 - 2*y. Let a(g) be the second derivative of 3*g**2\/2 + 2*g + 54. Let s(u) = 2*u - 15. Let l(j) = -5*a(j) - s(j). What is l(q(n))?\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 w when two letters picked without replacement from ppwqx.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 126 = -2*b - 1, 2*b - 98 = -4*y. Calculate the remainder when 196 is divided by y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 201586 and 238.\nAnswer: 201586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -6*u**2 + 134*u - 2. Let k(h) = 16*h**2 - 267*h + 6. Calculate 5*c(z) + 2*k(z).\nAnswer: 2*z**2 + 136*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 3 - 1346*t**2 + 469*t + 3 + 1337*t**2 to the form d + n*t**2 + g*t and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -6 + 2*x + 7 + 4 + 9*x**2 + 1. Suppose -o - o + 14 = 0. Let j(w) = -8*w**2 - 2*w - 5. Give o*j(v) + 6*r(v).\nAnswer: -2*v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 919307088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-88)\/(-32))\/(-11) + 2253408351\/12. Let n = c - 74284029. Round n to the nearest one million.\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -13 + 0 + 2*x + 13. Let y(n) = -8*n - 7*n + n - 3*n. What is y(u(p))?\nAnswer: -34*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 2*n = 0. Let o = n - -2. Let q(x) = 4 - x + 0 - 3 + o. Let w(d) = 3*d - 7. Give 5*q(j) + 2*w(j).\nAnswer: j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - 793*j**2 - 1928*j + 268695. What is x(795)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134721816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -7*f**3 + 11*f**2 + 4*f - 4. Let a(m) = 8*m**3 - 12*m**2 - 5*m + 5. Let j(p) = -5*a(p) - 6*b(p). Is 26 a factor of j(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37656?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 31*l + 588. Let b(h) = 7*h + 147. Give 18*b(i) - 4*y(i).\nAnswer: 2*i + 294","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1149.8 - 1150. Which is the smallest value? (a) 3 (b) 252 (c) 0.4 (d) k (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99934.\nAnswer: 2, 29, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -d38e (base 16) to base 11\nAnswer: -37765","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -116 - -139. Let d(p) = -41*p + m*p + 17*p. Let q(r) = 4 + 5*r - 4. Calculate q(d(c)).\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*r - 9*r**3 + 12*r - 1)*(0*r**2 - 4*r**2 + 3*r**2).\nAnswer: 9*r**5 + r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*a**2 + 3*a**2 + 4*a**2 - a**3 + (-3 - 2 + 9)*(19 - 6*a**3 - 19).\nAnswer: -25*a**3 + 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3084740713 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120102 - -1111221?\nAnswer: 221112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 + 13*y - 38. Let v = 6 - 3. Suppose 10 = v*b + 2*b. What is the least common multiple of i(5) and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.279 and -0.059.\nAnswer: 0.016461","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 174420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 863786 and 7513.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -57498 or -58178?\nAnswer: -58178","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221, 270, 255, 170, 9, -234, -565?\nAnswer: -990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 37*g - 3340 = -21*g. Calculate the remainder when g is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 + 2*g**2 - 10*g + 51. Determine f(0).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -83 + (-45655 + 45646 - (-1 + (2 + -1 - 1))).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 - 17. Suppose -3*t = -z*t. Suppose t*d + w = 5*d - 28, 3*w - 1 = -2*d. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -221, -369, -549, -755, -981, -1221, -1469?\nAnswer: -1719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -37 + 52. Let r = p + -9. Solve 3 = -3*v - r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14060 is divided by 287.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 2*u - u**2 - 2*u. Suppose -4 = 4*x - 3*y, -3*x + 4*y + 4 = -0*y. Let v be ((-3)\/(-2))\/((-2)\/x). Determine o(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 7. Suppose -3*r - 3 = -o - 63, -s*r - 3*o + 40 = 0. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2257*b + 331 = 2323*b + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*5\/((-75)\/2)*(-158)\/474?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 f when three letters picked without replacement from ffffbbfbtfbbfbbffffb.\nAnswer: 11\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m + 6 = 11*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -355 - 77 = -12*x. Calculate the remainder when 161 is divided by 2\/(-2 + 0) - (-55 + x).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -13*k - 24. Let l be z(-4). Let j(n) = -50*n + l*n + 21*n. Let y(t) = -3*t - 4*t + 5*t. Determine j(y(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 39 divided by 3\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*m**2*y**4 - 2*m**2 + 5*m - 8*y**6 + 14*y**3 + 15098*y**2 wrt y.\nAnswer: 648*m**2*y - 960*y**3 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 8:47 PM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 31*v**3 + v**2 - 2*v + 1. Give t(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -13. Let h(y) = -y - 3. Let g be h(-5). Suppose 2*r - 6*r + g*o = -14, -5*r = 2*o + 5. Calculate the least common multiple of r and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 31*v**3 - 5*v - 7. Let j(b) be the third derivative of b**6\/8 - b**4\/8 - 2*b**3\/3 - 17*b**2 - 262*b. Determine -5*j(w) + 3*z(w).\nAnswer: 18*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.486 in 0.2, 0.1, 6\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -766.\nAnswer: -3830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 2:45 AM?\nAnswer: 9:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 3*w + 21 = -6, -3*w - 35 = 5*b. Do -8\/3 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*-1*-1*sqrt(931) - ((sqrt(931) + -1 + 1)**2 + (sqrt(931) + 1)*-3)).\nAnswer: -925 + 49*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 10126*u**2\/17 - 20254*u\/17 + 4\/17 = 0.\nAnswer: 1\/5063, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.3 + 0.3. Let u = 163\/4 + -40. What is the nearest to h in -4, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**4 - 62250*g**3 + 62253*g**2 = 0. What is g?\nAnswer: -20751, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 1. Let s be j(-1). What is the units digit of (-15)\/(s + 6\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + (-3 + (-7 - -5) - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -k**5\/40 + 87*k**4\/2 - 22707*k**3 - 43*k + 49. Factor c(h).\nAnswer: -h*(h - 522)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6 + 2 = 0. Suppose 0 = 11*z - 67*z - 4*z + 1920. Calculate the greatest common divisor of z and f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 2*h**2 + h + 6. Let z be m(-6). Let t be -2 - (-1 + -3 + -14). What is the greatest common factor of t and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tcfttcftttjttttttffc. What is prob of picking 1 f and 2 c?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -45714513.72+-63252\nAnswer: -45777765.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 a factor of 214370875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 220 - -2?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 + -3. Suppose -p - 31 = -2*o + 8, h*p = 2*o - 49. What is the remainder when o is divided by -7 + (-1)\/((-12)\/64)*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70612821.\nAnswer: 3, 349, 22481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -176659 or -176661?\nAnswer: -176659","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 4*l**3 - 4*l**2 + 4*l + 5. Let n be d(5). Suppose f + 340 = 4*h - 3*f, 2*f + n = 5*h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 64 - (22 - -1).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the second derivative of -4*n**3\/3 - 21*n**2\/2 - 17*n. Does 10 divide x(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 + 4*s + 29. What is y(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2\/313 - 648\/3443. Let g = -1.5 - 0.5. Which is the closest to 3? (a) 2\/15 (b) l (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**3 + 5*f**2 - 25*f - 100. Calculate u(-4).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r - 6. Suppose 5*w - 3*h = 3, -1 = -0*w - 2*w + h. Calculate z(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 5*f + 11. Suppose 34 = 9*i - 20. Give v(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 120102 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -508, -699, -952, -1333, -1908?\nAnswer: -2743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18790.80336 seconds to weeks.\nAnswer: 0.03106945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*c + 4*j, -5*c - 5*j = -4*c + 28. Let h be (4 - 2 - -6) + c. Suppose -12 + 67 = h*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40 divided by -1585\nAnswer: -8\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*i - 1626407 = 240031. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 3:18 PM?\nAnswer: 5:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -759 or 66442?\nAnswer: 66442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.8222 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 29552672\/9*p + 2\/9*p**5 + 1906624\/9*p**2 + 496\/9*p**4 + 15376\/3*p**3 + 0.\nAnswer: 2*p*(p + 62)**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 61*p - 41*p - 31*p. Let x(a) = -24*a - 19. What is x(p)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-9 - -27)) + -19 + 5 + 9?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(sqrt(175) - (sqrt(175) + 0))*-2)**2 + -4 + sqrt(175)*-1 + -2)*3.\nAnswer: -15*sqrt(7) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 11\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 7:13 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 123059 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 16*a = -12*a + 52, 0*j + 4*j + 29 = a for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + -3. Let m = 7 + -11. Let k be m*x\/4*3. Solve -1 + 7 = k*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 3*l - 61. What are the prime factors of l?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/9 of a day?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 8*i - 104 = -0*i, -14*d + 2*i = 19*d - 30*d + 14 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 988 a factor of 411248084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*k = -587*k + 309*k + 329 for k.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 2:28 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 119 - 116. Let c be (-8)\/(-32) - (-75)\/20. What is the nearest to -1 in c, w, -5\/11?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 434*p**2 - 64*p - 40. Let c(y) = -289*y**2 + 43*y + 28. Calculate -10*c(k) - 7*f(k).\nAnswer: -148*k**2 + 18*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, r: 4, l: 10}. What is prob of picking 3 r and 1 l?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*q = 60*q + 15, g + 4*q = 13. Let v(f) = 21*f**2 + 13*f + 7. Let d(s) = 7*s**2 + 4*s + 2. Give g*d(b) + 2*v(b).\nAnswer: -7*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - 6*i**2 - 5*i - 14. Let b be t(-6). Let q be (0 + 0)\/(0 - 1). Suppose q*d = -4*d + b. Calculate the remainder when 9 is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.12 + -559.88. Let a = j - -563.8. Let k = -397\/45 + 74\/9. What is the closest to 0 in a, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 6. Suppose 2*p = 7*p - 2*q - 21, 2*p - 4*q - f = 0. Suppose 17 = 3*m + j, 18 + 7 = p*j. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 0*l**4 - 2\/9*l + 4\/27*l**3 - 1 + 0*l**2 - 2\/45*l**5. Solve j(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 8. Let w(p) = -r - 2 - 3 + 3 + p. Suppose 2*x - 7 + 17 = 0. What is w(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -629899*w + 20212*w - 1033646*w - 796388*w.\nAnswer: -2439721*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1445*n**6 - 502*n**2 + 4 wrt n?\nAnswer: 173400*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -73 * -0.1\nAnswer: 7.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 253\/11 - 1*-3. Let p = 28 - a. Suppose 51 = 5*l - p*l. Solve -5*d + l = 2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2743140 (base 9) in base 5?\nAnswer: 341123043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3217305897?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - 8. Let l be (-60)\/5*11\/f. Solve -3*o + l = -9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -94*c + 5130. Determine h(54).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 33*i**2 + 5*i - 10. Let p(k) = 6*k**3 - 2*k + 1. Let m be p(1). Let v be r(m). Round v to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 356, 5, -1 in ascending order.\nAnswer: -1, 5, 356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 5*j - 3*x = 17, -4 = x. Let r be (-4)\/4*(1 - j). Suppose -20 = -5*c + 3*b + 2*b, r = c - 3*b - 8. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1625 is divided by (-51)\/(-9) - 6 - 34\/(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1179, 1129, 1079?\nAnswer: 1029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 79082, 80258, 82218, 84962, 88490, 92802?\n\"Answer: 392*u**2 + 78690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20645649?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -104, 60 in decreasing order.\nAnswer: 60, 4, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*w - 2*w - 4*w + 2 - 2*w - 2*w + 6*w + (-5 + 3 + 0)*(-w - 4*w + 3*w) + 2*w - 5*w + 2*w - 23 + 23 - 4*w.\nAnswer: 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -2*u**2 + 13856*u - 27704 = 0.\nAnswer: 2, 6926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.9121 to one decimal place.\nAnswer: -13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1233 + 1272. What is the remainder when 261 is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1121101 (base 3) in base 14?\nAnswer: -5d9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-286)\/(-66) - 4\/(-6). Suppose 6*d + 0*d = 0. Sort s, d, -5 in descending order.\nAnswer: s, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 AM and 12:13 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45782\/3 + -15260. Factor 5\/6*m**2 + 0 + 0*m - 1\/6*m**4 + p*m**3.\nAnswer: -m**2*(m - 5)*(m + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 0. Suppose 0 = d + 3*d - 16. Suppose -5*i + 12 = -d*a, i = 7*a - 2*a - 6. Solve -a*g - y = 2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92312.67cm in nanometers?\nAnswer: 923126700000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1102 and 8004?\nAnswer: 152076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - 4. Let d(i) = -23*i**3 - 2*i**2 - i. Let c be d(x). Let u be (9\/2 - 1) + (-25)\/50. Solve 2*s + 10 = -u*y, -4*s = 2*y + c - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*-3885\nAnswer: 11655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*m**4 + 26*m**4 - 18*m**4 + (-m**3 + 4*m**3 - 2*m**3)*(m - 2 + 2) - 3*m**4 + 2*m**4 + 0*m**4.\nAnswer: -10*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 8 - -6) + -41 + (14 - 10)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 54037.449 to the nearest one hundred.\nAnswer: 54000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a decade?\nAnswer: 1120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 + -2)*(-130)\/3. What is t rounded to the nearest one hundred?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c - x + 5, -x = c - 0*c. Let j(w) = -w**2 - 6*w - 5. Let g be j(-4). Suppose -c*o + 50 = 5*l, l - 73 = -5*o - g. Does 8 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*d**3*v**3 - 22*d**2*v**3 - d*v - 4953*v**3 with respect to d.\nAnswer: 27*d**2*v**3 - 44*d*v**3 - v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 2 = -6. Suppose f*j + n + 19 = 0, 9 = 3*j - 6*j + n. Let m(x) = x**3 + 6*x**2 + 6*x + 1. Give m(j).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410470000 rounded to the nearest one million?\nAnswer: 410000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zrtzz. Give prob of sequence rzt.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(f + f + 0*f) - 6 - 5 - f + 18 - 2*f + f + 3*f + (1 - 4 + 5)*(0*f + 3*f - f) + f + f - 4*f.\nAnswer: f + 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 2 + 11. Calculate the remainder when (-36)\/(-1 + 0) - (-6 + j) is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the second derivative of -q**4\/3 - 2*q**3\/3 - 26*q. Factor l(z).\nAnswer: -4*z*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*w - 424 + 73 = 0. Differentiate 0*z**2 + w + 5*z + 3 - 2*z**2 - 17 wrt z.\nAnswer: -4*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 14 (c) -5 (d) -1 (e) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434, 427, 420, 413, 406, 399?\nAnswer: 392","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 370\/(-102)*2\/(-15). Let v = l + -12\/17. Let t be -2 + -2 - (10 + -13). Sort v, 0, t in increasing order.\nAnswer: t, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 420 and 120.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*(n**(-1\/3)*n*n)\/n)**(-3\/13)*((n**(-1)*n)\/n)**(3\/2))**29 assuming n is positive.\nAnswer: n**(-1421\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/5 in -0.2, 0.3, 0.2, 0.2528?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-190)\/380)\/(-1 - -3*(-15)\/(-24)). Which is the nearest to -1\/40? (a) v (b) 0 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -25, 0.75, -8\/1473?\nAnswer: 0.75","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aqnvtjat. Give prob of sequence vjqn.\nAnswer: 1\/1680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 21 = 2*p - r, r + 81 = 4*p. What is the lowest common multiple of p and (24\/(-36))\/(2\/(-60))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 y, and 1 m when three letters picked without replacement from {r: 4, x: 2, m: 3, y: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80 + 100. Suppose -18*l = -14*l - u. Let i(x) = 4*x + 5*x**2 + 2 - x**3 - 2*x - 3*x. Give i(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 - z**3 + 0*z**3)*(-2 + 1 - 5) - 3*z**3 + 2*z**3 - z**3 + (1 - 3 + 3)*(-3*z**3 - 2*z**3 + 4*z**3) + 0*z - z**3 + 0*z.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(243))*-4 - sqrt(243) - (-2 + 4 + sqrt(243) + sqrt(243) + sqrt(243))**2.\nAnswer: -2187 - 153*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*i = -40*i + 40*i - 792 for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -261, -671, -1417, -2667, -4589?\nAnswer: -7351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 178095541 <= 178095543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - 1 + 1 + (-30 + 2 + 4)*(4*b - b - b)*(-77 - 11*b + 77) + (b + 0*b - 3*b)*(1 - 1 + 2*b).\nAnswer: 525*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1271 divided by 41\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -3. Let p = -4 - -4.4. Let j = -4 + 3.6. Which is the nearest to 1? (a) z (b) j (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 628, 617, 592, 547, 476?\n\"Answer: -o**3 - o**2 - o + 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 850*d - 4240. Let t be v(5). Suppose -6 = -2*y - 2. Suppose 0*u = 4*u - y*m - 152, 5*u - 212 = -3*m. What is the highest common divisor of u and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 4*g**2. Suppose -24 = -5*o - 2*p + p, -o - p + 8 = 0. Calculate t(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 139 = -41. Suppose 4*u + 3*x = 275, -3*u = -3*x - 0*x - c. Does 13 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 25*d**2 - 11*d**2 - 20*d**2. Let o(q) = 1 - 2*q - 1. Give p(o(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 869 and 1111?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + 314400233?\nAnswer: 314400224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(15)\/(-1*sqrt(15)\/sqrt(3)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32048 or 32045?\nAnswer: 32048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*a + 100416 = 156*a. What is the remainder when a is divided by 155?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, f: 5, e: 4}. Give prob of sequence faf.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-1\/6))**21*w**(-3\/4)\/((w\/w**(-20))\/w))**(-14) assuming w is positive.\nAnswer: w**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2495 + 1021 = 2*u. Let h = -2766 + 1159. Let l = h - u. Round l to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1457.\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/40 and -41\/948.\nAnswer: 9480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - 40?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/4 - 271*r\/2 - 543\/4.\nAnswer: (r - 543)*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 177*x - 182*x + 20 = 0, 0 = 40*d + 4*x - 232 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - m = -0*c - 7, 2*m - 2 = -2*c. What is the second derivative of c*j**3 + 3*j + 2*j - 2*j - 4*j wrt j?\nAnswer: 18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 12*y + 101. Let f be p(5). Solve 5*j + 3*a = j + 29, -3*a - f = -5*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6776\/123 or -54?\nAnswer: -6776\/123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 243476\/13 - 18708. Which is smaller: 22 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**2*l*l)\/(l*l\/l**(1\/4)))\/((l*l**(-2\/7))\/l)**46 assuming l is positive.\nAnswer: l**(431\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**3 + 11*r**2 + r + 11. Let d be y(-11). Let k = -109 - -1087\/10. Which is smaller: d or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8520.7 times -142?\nAnswer: 1209939.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/24 and 143\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -z - 514 + 1404, -5*o + 3*z = -4466. What are the prime factors of o?\nAnswer: 2, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from goee. What is prob of picking 2 e?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 85 and 5695?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(561)\/(-2*sqrt(11)) + sqrt(102)\/sqrt(32))\/(((sqrt(216)*-2 - sqrt(216))\/sqrt(12))\/sqrt(6)).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3304 and 6889666?\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2d - 7?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -58, -108, -158?\n\"Answer: -50*i - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 48 = i + 4*x, 4*x = 2*i - 192. Let k = -4 + 10. List the prime factors of i\/k + (-4)\/(-6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 14*g**2 - 5*g - 2. Let y be f(-3). Let k = y - 81. Calculate the remainder when k is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*f - 305*f = 91*f - 16364128. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8541168l to millilitres.\nAnswer: 854.1168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -3 (c) 83 (d) -0.01 (e) -6.2 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 282.8818um in millimeters?\nAnswer: 0.2828818","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 108068210, 216136409, 324204608, 432272807, 540341006, 648409205?\n\"Answer: 108068199*k + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48112315 is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/11, 25, -1.5?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154355083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w = -2*w + 19952. Suppose -w = -15*a + 3313. List the prime factors of a.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*i + 0 - 44*i - 2 + 11 - 46*i**2 - 9.\nAnswer: -46*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5504843, 5504846, 5504849, 5504852, 5504855, 5504858?\n\"Answer: 3*k + 5504840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1, 18, -0.67, 8\/47, -3\/5?\nAnswer: 8\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -59*l + 2. Is u(-2) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -342 - -2396\/7. Factor 0 + 2\/7*h**2 - 2\/7*h**4 - v*h**5 + 0*h + 2\/7*h**3.\nAnswer: -2*h**2*(h - 1)*(h + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 283.201 to the nearest ten.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350151.\nAnswer: 3, 19, 6143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -785.7 + 786. Which is the second smallest value? (a) r (b) 6 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -5 - (11 - 7) - (0 - 10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 554 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 292.9 and 0.1?\nAnswer: 292.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -10001?\nAnswer: 4444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110011 + -121?\nAnswer: 102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q**2\/3 - 4963864*q\/3 + 3079993226312\/3 = 0 for q.\nAnswer: 1240966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -14247, 1548, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2787 and 75727435.\nAnswer: 227182305","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + o + 1151 = 0, -42*i + 5*o - 1694 = -45*i. Let j = -518 + i. What is the highest common divisor of 10 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11675 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t + 62. Let b be -3 + (-1 - -7) - -18 - 4. Calculate f(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -103 by -103.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -4240?\nAnswer: -1\/4240","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 3\/299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 90*p**6 - p**5 - 42*p**3 + p**2 + 32233?\nAnswer: 10800*p**3 - 60*p**2 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 31*v - 1\/10*v**4 + 1\/50*v**5 + 1\/5*v**3 + 0 - 1\/5*v**2. Factor l(y).\nAnswer: 2*(y - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011245 rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 6*u**2 + 288*u - 757. Calculate h(19).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19 - 1411\/(-68))*4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2059 - 81.2059. Put 5\/2, -3, z in decreasing order.\nAnswer: 5\/2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j = -446\/7 + 64. Let u = -0.05 + 0.15. Which is the nearest to u? (a) j (b) 0.5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -21*l**3 + 18*l**3 + 3*l**3 - 477*l - 137*l**4 wrt l?\nAnswer: -1644*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen sixteenths of a minute in milliseconds?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**3 + 7*i - 16. Let t(x) = -3*x**3 + 5*x - 11. Let h(z) = 5*m(z) - 7*t(z). Give h(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 204, -1429, 2, -4 in ascending order.\nAnswer: -1429, -4, 2, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 2*a**3)*(3*a - 6*a + 0*a) - 24*a**4 + a**4 - 30*a**4 to the form y + j*a + d*a**4 + b*a**2 + f*a**3 and give d.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 190 and 156?\nAnswer: 14820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 8 = u. Let s be 2\/(-1*(1 + u)). Find the third derivative of -2*x**s + x**5 - 2*x**5 + x**2 wrt x.\nAnswer: -60*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) -0.5 (c) 2\/661\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (m**2 - m**2 + m**2)*(6*m**2 - 93*m + 93*m + 2) in the form f + n*m + i*m**4 + d*m**2 + v*m**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13 - 8. Suppose -3*b - 5*x - 3 = -1, -o*b = -x - 6. Let p be 0\/(b + -2) - -56. Calculate the highest common factor of 14 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -r - 20, 2*l + 3*r = 4*r + 11. Let g be (10 + -11)\/((-14)\/1514). Let i = g - 108. Put l, i, 0.03, -1 in decreasing order.\nAnswer: l, i, 0.03, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -6657.\nAnswer: -6657, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -7*u + 6, 0 = 3*q - 3*u + 18. Let s = 1 + q. What is the smallest common multiple of ((-1)\/s)\/((-1)\/(-6)) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 16 = -5*p, 6*p - 28 = -4*l + p. Let u = 43 - 292. Let w = u - -251. Solve -l*m - 2 = -2*r, w*r - 5*m = 9 + 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.38 and -4158.\nAnswer: -1580.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 42*u - 45*u = 8, -5*u + 20 = 0. Solve -a*c + 2 = -2*h, h + 4*c - 9 = -4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 4*r - 5 = 0, r - 2*r + 71 = 35*q + 143 + 176 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-1\/7)*i))**25 assuming i is positive.\nAnswer: i**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - c + 65. What is the tens digit of h(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m\/m**21))*m*m*m*m**(-1\/7)*m*m*(m\/(m*m**(-2\/15)\/m*m))**(-19) assuming m is positive.\nAnswer: m**(-1856\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.86 + -3.54. Round n to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*c + 351 + 4*c**3 - 13*c**3 - 9*c**3 + 24 as z*c**2 + x + o*c**3 + w*c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f - 8*f - f + 307 + 0*f + 7*f to the form k + w*f and give k.\nAnswer: 307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezeehzeeehze. Give prob of sequence he.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 2*y + 22, 16 = a + 3*a. Suppose 0 = -0*v - 2*v - 2*v. Let d(x) = 3*x + 14*x + v + 8 - 9. What is d(y)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-10 - -1) + 0\/(-72) - 56\/(-6). Let 0 + 1\/2*k - 1\/6*k**5 + 2\/3*k**2 - n*k**3 - 2\/3*k**4 = 0. Calculate k.\nAnswer: -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101 (base 3) in base 13?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -110*a**6\/3 + 100*a**3\/3 + a**2 - 334. Find the third derivative of p(y) wrt y.\nAnswer: -13200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135251 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3903.908 - -3904. What is the closest to 4\/3 in -1, z, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -1\/18*o**4 + 63 + 1\/3*o**2 + 0*o - 4\/27*o**3. Let u(s) = 0. Calculate s.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**5*g - 9*d**3*g - 8*d**2*g - 2*d*g + 413*g + 1 wrt d.\nAnswer: -60*d**3*g - 54*d*g - 16*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -0.3, -0.9, 0.2, 0, 1\/690 in increasing order.\nAnswer: -0.9, -0.3, 0, 1\/690, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - 16153326?\nAnswer: -16153322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 3 - 3 - 6*d + d. Is o(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0124155 rounded to three dps?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**5\/2 + 15*m**4\/2 - 12*m**3 + 6*m**2.\nAnswer: -3*m**2*(m - 2)**2*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28634, 28647, 28660?\nAnswer: 28673","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 6\/25 of a gram?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-19)*p**(-1\/4))\/(p*p\/(p*p\/(p**(-4)\/p)))**(-13) assuming p is positive.\nAnswer: p**(-181\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 34 or 54172?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*(-1)\/(-2) - -224. Suppose -5*v + 22 = -b + 3, 5*b = -3*v + 45. Suppose q = -3*s + b*s. Calculate the remainder when s is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, r: 10, l: 6}. What is prob of picking 1 v and 2 r?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -831*j + 118332 = 607*j + 119*j for j.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from diiiddididdi. What is prob of picking 2 d and 2 i?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -226, -119, -9 in decreasing order.\nAnswer: -9, -119, -226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 3530*x + 1. Let o be w(-1). Let t = -2219 - o. Round t to the nearest 100.\nAnswer: 1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2067 = -308*c + 1629 for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q + 9. Let b be 2 + 9 + 3 - 3. Let s be u(b). What are the prime factors of s\/1 + -262*(-2)\/4?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 4617867.\nAnswer: -2\/4617867","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53800 (base 11) to base 10.\nAnswer: -78166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 22. Is 30 a factor of g*114\/8*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(sqrt(10)\/sqrt(5)))**2 + sqrt(50)\/(sqrt(360) + sqrt(10)) + 3 + -6*(sqrt(500) + sqrt(500)*3).\nAnswer: -1679*sqrt(5)\/7 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 232*r - 228*r = 25, 4*r + 15 = 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 24*r + 168. Is 12 a factor of t(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, 6, 0?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1\/2 (b) 2\/103 (c) -2\/7 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4 + 3 + 0*h**2 - 8*h**3 + 7*h**2 + 2*h + 5*h. Let x = -3 - -5. Let f(i) = -i**3 + i**2 + i + 1. Calculate x*g(s) - 14*f(s).\nAnswer: -2*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 0*u + u - 9*u + u. Determine d(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2. Let b(i) = 2618459*i. Give b(k(w)).\nAnswer: 5236918*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35739293 is divided by 69?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2742526 and -163618.\nAnswer: 2578908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3*o = 130. Suppose -4*y - 3*i + 48 = 0, 0 = -2*i + i + 4. Calculate the remainder when o is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -1146992.2\nAnswer: 5734961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y**2\/2 + 444972*y - 127134 = 0. Calculate y.\nAnswer: 2\/7, 42378","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 + w - 1. Let z(x) = -x**3 + 8*x**2 + 9*x - 7. Let a = -11 + 8. Let j(i) = a*z(i) + 21*h(i). Factor j(o).\nAnswer: 3*o*(o - 2)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/6)\/((-3)\/18*-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -345*i**2. Let a(b) = -4*b**2. Calculate q(a(z)).\nAnswer: -5520*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**3\/2 - 7*s**2\/2 - 2*s. Suppose 2*b = 8, 4*t + 38 = 9*t + 2*b. What are the prime factors of p(t)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 27189*o + 244873. Give k(-9).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 5 + 11. Is m a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 12:00 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -369, -739, -1109, -1479?\nAnswer: -1849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kh when two letters picked without replacement from hxkhkhtkhttthhkhkkkh.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x. Suppose 3*k - 29 = -2. Let u(i) = -k*i + i - i. What is u(r(g))?\nAnswer: 9*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 2\/7, 3, 0.6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22420314986978524*s**2 + 2*s**3 - 22420314986978522*s**2.\nAnswer: 2*s**3 + 2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = 3. Let v be 4\/s - (2 + -5). Solve -v = 5*i + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 8:47 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (204 - 204 - 380*l - 548*l)*(-3*l**3 + 0*l**3 + 4*l**3) to the form u*l**4 + k*l**2 + c + a*l + x*l**3 and give u.\nAnswer: -928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**2 + 11*t - 4. Let k be d(11). Suppose -2*z = -z - 5*q - 17, 2*z + 3*q = -5. Sort 8, k, z.\nAnswer: k, z, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - s + 0*s)*(23 + 25 + 26)*(3*s - 5*s + 5*s).\nAnswer: 222*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b\/(b**(4\/7)\/b)*b*b**6)\/((b*b**3)\/(b\/(b\/b**(-1\/3)))))\/(((b\/((b*b**0)\/b*b))\/b)**(-23)\/(b**(-2\/3))**41) assuming b is positive.\nAnswer: b**(-929\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*j + 33, -3*j = -0*j - 15. Suppose 0 = -2*a - s*y + 34, 4*a + 18 = 5*a + 3*y. Suppose -m + a = 2*m. Solve 2*c - c + m = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4442850 divided by 3?\nAnswer: 1480950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 210 - 200. Suppose -q*r = -92 - 138. What is the remainder when r is divided by 19?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/18*(-126)\/(-308).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41714?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 34*b**2 + 18*b - 509. Give d(-33).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -1. Let n(u) = -5*u. Let b be n(2). Let x be b\/8*(-3 - 1). Solve 0 = f*a - 5 - x for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34)\/1*(-6 - -4). Suppose -k = -3*c - 2*o + o, 5*o - 98 = -4*c. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14.26 + -0.14. Let v = -14 - o. Let h = -1 - -4. What is the smallest value in h, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 5*v**2 + 13*v - 3. What is i(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 2.6 (b) 3 (c) -2 (d) 235\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 9*t + 3. Let h be b(9). Determine s so that 0 - s**2 - 1\/2*s**h + 1\/2*s + s**4 = 0.\nAnswer: -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/(-969))\/(7\/532)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + 189.\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 46\/(-14) - (-2)\/7. Suppose 2*m - 7 - 1 = 0. Suppose -m = -5*y + 11. Sort b, 6, y.\nAnswer: b, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*p**2 + 10 - 15*p**2 - 9*p**2 - 10 + p as z*p + o*p**2 + d and give o.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3694?\nAnswer: 2, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1233 is divided by 114.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 110672 (base 9) to base 3\nAnswer: 10100202102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 8\/29 (b) 43 (c) -0.4 (d) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*a - 48*a + 24*a - a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f - 3*k + 5, -3*f + 3*k = -39. Suppose -f - 75 = -43*x. Calculate the least common multiple of x and 208.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/15)\/(35\/(-2975))*(-36)\/(90\/(-10))\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20529 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 202.0350298 - 4.0359198. Let s = 202.85 + -4.85. Let m = s - p. What is m rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 - -24. Let k be (-14)\/u + 2*1. Is 7\/5 < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**3 + 1802 + 38*b**2 + 1824 - 3590 + 90*b = 0.\nAnswer: -6, -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 16*y + 62. Is g(25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20648 and 6245614?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/5 of a century in decades?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21013931 divided by -1\nAnswer: 21013931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 290 = -15*v, -5*i - 3*i - 3*v + 2 = -12*i + 39 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) 0.7 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:05 AM?\nAnswer: 3:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6063, 6069, 6079, 6093, 6111?\nAnswer: 6133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 = -51?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.46476 years in months?\nAnswer: 497.57712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -25132 (base 6) to base 7\nAnswer: -13604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*h - 3, -3*h - y - 3 = -6. Solve -1 = -h*p - 4*p - 3*u, 3*p + u = 2 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 4*m**2 - 4)*(0*m + 2*m + 0*m) + (3*m + 5*m - 5*m)*(66*m**2 + 929*m - 929*m) as s*m**3 + j + y*m**2 + x*m and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(-14) - 1458\/7. Let d be ((-9)\/6)\/(14\/(-252)). Let n be z\/(-36) - (-6)\/d. Solve 4*x + n = -2*y, -5*x - y + 3 = 9 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 28*y**2 - 13323*y + 78881. What is z(6)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1227 - -1254. Solve -8*l + d = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - 31\/(-2))*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -326162 - 0\nAnswer: -326162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 686122?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1648 and 49234?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77 by 106.\nAnswer: 77\/106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/6*(-14 + (-8 - (-1196)\/56)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 42*n**2 + 69*n. Let i(c) = 66*c**2 + 103*c. Calculate 8*g(l) - 5*i(l).\nAnswer: 6*l**2 + 37*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-13)*(f*(f**(2\/5)\/f)\/f)**(-25) assuming f is positive.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*x - 19*x = 110. Suppose x*c + 80 = 60*c. Calculate the remainder when 207 is divided by c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000006831 to seven dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 48.94 + -49. What is the nearest to 0.2 in c, -3, -2\/3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w + 4, 4*x - 19 = 3*w. Suppose -j + 18 = 4*b, 5*j - x*b + 8 = 2. Is 3*j*(-1 + 2) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 5:33 PM?\nAnswer: 4:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7453 = -27*s + 730. Let b be (-3)\/(-5) + -7 + s\/(-10). Factor 73\/2*v**3 + 7\/2*v**5 - 2 + 14*v - 67\/2*v**2 - b*v**4.\nAnswer: (v - 2)*(v - 1)**3*(7*v - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**3 - 3931*z**2 - 7865*z - 3933 = 0.\nAnswer: -1, 3933","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - x = 864. Suppose -3*t + 12 = 0, 0*t - t - x = -5*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4.69 + -46.21. Let q = p - -50.901148. What is q rounded to 4 decimal places?\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004499597223 rounded to 4 dps?\nAnswer: -0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13, -19, -37, -73, -133?\n\"Answer: -k**3 + k - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 141, 153, 173, 201, 237, 281?\n\"Answer: 4*q**2 + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 13*g**2 - 5*g + 8. Give o(2).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the first derivative of -w**4\/4 + w**3 - 3*w**2\/2 + 3*w + 233. Suppose 0 = -5*u + 16 - 6. Let j = u + 1. Give t(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -15*x**2 - 12*x - 68. Determine s(-4).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1726 and 7208.\nAnswer: 12441008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1602 - -11052. What is the tens digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8.8*12745\nAnswer: 112156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 59197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 368b (base 14) in base 7?\nAnswer: 36534","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24720465 a multiple of 255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8*v**2 - 58*v - 585. Determine a(-12).\nAnswer: -1041","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -464667\/227 - -2047. Let a = w + 671\/1135. What is the third biggest value in -3\/7, 1\/69, a?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11527983 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 2, a: 1, d: 1, z: 1, h: 1, x: 1}. Give prob of sequence maxh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*n + 8 + 44*n**2 + 19*n - 37*n - 45 wrt n?\nAnswer: 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 888588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 492 and 12947554.\nAnswer: 77685324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 101, 2, -128, -0.1 in increasing order.\nAnswer: -128, -0.1, 2, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 3*p + 20, -39 = 8*v + 4*p - 7 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -6*b - 5*a, 5*b + a = -453 + 447 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(70) - (sqrt(70) + 1*sqrt(70)*2 + sqrt(70))) + sqrt(70))*1)\/(-1*sqrt(490) + sqrt(490) + -3*sqrt(160)))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*q = 89*q. Suppose q = 2*i + 2*t - 6*t + 22, 4*i + 4*t = 16. Which is greater: i or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129956063 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.307, -3, -4, 0.09?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q**2 + 238*q + 487. What is m(-2)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -9.3. Let h = -0.4 + 0.3. Let f be 5*4\/(14 + 2). What is the closest to h in o, f, 3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 492133?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/2*15\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1011122 + -233?\nAnswer: 1010223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.1964316 - -2.\nAnswer: -7.1964316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142 - 20 = -162*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -15*a**3 - 4*a**2 - 4*a - 27. Let m(v) = 32*v**3 + 9*v**2 + 9*v + 53. Give 9*j(z) + 4*m(z).\nAnswer: -7*z**3 - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = y - 5*j, 0 = -4*y + 2*y - j + 13. Let t(z) = -5*z**3 - 13 - 2 + y. Let l(u) = u**3 + 2. Determine -22*l(d) - 4*t(d).\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 68\/(-17)*((-1)\/(-1))\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692.083 millilitres in litres?\nAnswer: 0.692083","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*c)*(-506 + 6399 + 248).\nAnswer: 12282*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 74250 a multiple of 450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + 5*t**2 - 5*t**2 + (0 - 2*t + 0)*(-3*t**2 + 2*t**2 + 2*t**2) + t**3 - 2*t**3 + 4*t**3 + 8 - 14 + 17 + 2*t**3.\nAnswer: t**3 + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s - s + 4*s - 1 + 1 - s + (1 + 3 - 6)*(-s + 0*s - s).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43 + -158?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -58820 - -58946. Let i = 5 + -2. Suppose -57 = -3*u - i*x, -2*u + 53 = x + 4*x. What is the greatest common factor of u and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -54424525?\nAnswer: 54424533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-901018)\/4180)\/(-181) - (-12)\/(-132)\nAnswer: 11\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.0881 - -0.0881. Which is the biggest value? (a) 3 (b) 1\/6 (c) 34 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -13*q**2 - 6. Let f(a) = -a**2 - 4 - 28*a**2 + 1 - 4 + 16*a**2. Determine 5*f(l) - 6*g(l).\nAnswer: 13*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 x when two letters picked without replacement from tttxtxxtxxxxxxxxtx?\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 324, -2, 11, 22, 2 in decreasing order.\nAnswer: 324, 22, 11, 2, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bkv when three letters picked without replacement from {v: 2, k: 4, l: 1, b: 3, y: 2}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (156\/(-13) + (-162)\/(-10))*(-50)\/(-6). Solve g - 113 = 39*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7435531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/34332 and -3\/290185508.\nAnswer: 870556524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s**2 + 1. Let r be c(-2). Let f = 2 + r. What is the smallest common multiple of 4 and f?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 6548.529 decades?\nAnswer: 654.8529","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2 + 39*m + 246. Does 4 divide a(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34, -37, -40?\n\"Answer: -3*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 205259072 divided by -2\nAnswer: -102629536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -11.73088 not equal to -91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 9, r: 3, g: 7}.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - r + 3*r + 3, 3*p = -5*r - 10. Let y = p - -15. Solve 0*k = -5*k + y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three eighths of a century?\nAnswer: 450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 3. Let y(h) = -1. Let f(z) = 2. Let w = 8 - 7. Let g(s) = w*f(s) + 4*y(s). Calculate -5*g(c) - 4*x(c).\nAnswer: 4*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 183?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + 3. Let i be (-1)\/(-4) - 209\/(-44). Suppose -8 = -5*o + 2*z - 33, -z + i = 0. What is t(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 2*t**2 + 13*t + 10. Let u be f(-5). Let o be u + -4 + 22 + -1. Let m(r) = 2*r - 19. Does 2 divide m(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102694?\nAnswer: 2, 51347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7248270 to the power of 1\/3, to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*l*t**2*v**2 + 9*l*t**2 - 33*l*t*v**3 + 3*l*t + 20*t**2*v**3 + 20*t**2*v**2 - 2*t*v**4 wrt v?\nAnswer: -198*l*t + 120*t**2 - 48*t*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1933\/3 - -645. Let k be (15\/6)\/((-3)\/222). Let w = k - -1483\/8. Put 2, 5, c, w in ascending order.\nAnswer: w, c, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 at most as big as 1746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3019 by -38594.\nAnswer: -3019\/38594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(19) + -5)*-1)**2 + -2 + -3*(sqrt(19)*-3 + sqrt(19) + -3 - (2*sqrt(57)\/sqrt(3))**2).\nAnswer: -4*sqrt(19) + 279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -112*o**3*r**4 + 4*o**3*r**2 - o**3 + 1356*o with respect to r.\nAnswer: -448*o**3*r**3 + 8*o**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/3 (b) 1\/4 (c) 0 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 824.\nAnswer: -829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 0 + 0*c + 1 + (1 + 3 - 6)*(4*c - 5*c + 0*c) + (c - c + 2*c)*(7 + 12 - 9).\nAnswer: 23*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8039?\nAnswer: 8039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 196 divided by 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(68))**2*6.\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50220803665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*x**2 - x**3 - 5*x**2)*(-5*x**2 + 4*x**2 + 3*x**2) + 8*x**5 + 3*x**5 - 15*x**5 - 2*x**3 + (2*x**4 - 4*x**4 + x**4)*(2 - 2 + x) - x**5 + 1 - 1.\nAnswer: -8*x**5 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -4 + 3\/(-6) + 22\/(-4). Is -10 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(171) + 3*sqrt(171) + 4)**2 - (1*sqrt(19)*-4 + sqrt(38)\/sqrt(2)*-5)*4.\nAnswer: 132*sqrt(19) + 2750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aaaaaaaaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + -106 + 537 + -441.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3057178 is divided by 611363.\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -8*f. Suppose f*l - 2*l = -198. Is l a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - 26?\nAnswer: -2b","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 12:49 PM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*w + 5*w. Suppose -2*x - d - 639999 = 0, 4*x - w*d = 3*d - 1280005. What is x rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26404 divided by 4\nAnswer: 6601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*24\/(-156)*-1*26\/2?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -128*f**2 - 12*f - 20. Let z(m) = -m. Let k(y) = -i(y) + 10*z(y). What is the second derivative of k(c) wrt c?\nAnswer: 256","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*d - 61 - 19. Let u = -9 - d. Let a be (1044 + (-8 - -4))*(u + -49). Round a to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1\/23, 3\/10, 4, -6?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 6. Let s be p(-5). Suppose 5*y = -q + 11 + 10, 5*q = y + s. Solve -y*z = z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1323 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.223 or -2\/35?\nAnswer: 0.223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**7\/63 + 8*u**6\/225 + 2*u**5\/75 - u**4\/9 + u**3\/45 + 2*u**2\/15 + 11*u. Suppose i(a) = 0. What is a?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, 4, -5, -53 in ascending order.\nAnswer: -53, -5, -4, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1015, -2030, -3045?\n\"Answer: -1015*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*-169144.\nAnswer: 845720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 436 and 632854.\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 + 200?\nAnswer: 1ed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1261*h - 1219*h + 15830 - 7908 - 7922.\nAnswer: 42*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/19))**(-9\/2)*(i\/i**6)\/(i\/(i**5\/i)) assuming i is positive.\nAnswer: i**(-29\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 728502520\/2259 - 169800541487359\/526541274. Let r = o + -1\/16649. Find the common denominator of r and 65\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 541567 is divided by 123.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52*s + 137*s + 31 - 31)*(-177 - 8*s**2 + 177).\nAnswer: -1512*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1351 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 394, 340, 192, -98, -578, -1296, -2300, -3638?\nAnswer: -5358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-2)*t))\/t*t*t)**16*t\/t**16*(t*t\/(t**(-11)*t))\/t assuming t is positive.\nAnswer: t**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1105 + 1130. What is l rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -241.254 - 72.56. Let k = 318.6 + m. Let w = k + -0.326. What is w rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - -28. What is the common denominator of d\/(-3) - (-4 - -6) and 53\/4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 54406?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6 + 1)\/((-3)\/3). Sort 2, -4, i in increasing order.\nAnswer: -4, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/(-100))\/((-3)\/(-5)))\/((-1)\/57)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 6. Let w = 21.99985 + s. Round w to five dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-138)\/(-1932)*1*14.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of m**6\/30 + m**5\/20 + m**4\/24 + m**3\/6 - 233*m**2. Let y(r) = r**3 + r**2 + r. What is -b(f) + y(f)?\nAnswer: -3*f**3 - 2*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -29?\nAnswer: 2e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 7*r**2 - 8*r + 3. Let t be n(-6). Suppose 0*p - 5*p + 1620 = v, t = -3*v. List the prime factors of p.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32.6 - 33. Which is the nearest to 2\/3? (a) 3 (b) 4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 10:43 PM?\nAnswer: 7:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -109, -473, -1081, -1933, -3029, -4369?\n\"Answer: -122*w**2 + 2*w + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 694 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 48745952 to the power of 1\/2, to the nearest integer?\nAnswer: 6982","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 5*w + 2. Let s be i(-4). Let a be -3 + s\/2 - -58. Let k = 31 + a. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -50 - -260. Let l be t\/(-75) - 1\/5. Is l > -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*r - 214 = 115. Suppose 4 = -b + 3*b. Put 3, b, r in decreasing order.\nAnswer: r, 3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -57517*v**2 - 6*v - 6. Let y be x(-1). Let k = y + 101617. Round k to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 12:44 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -33. Which is smaller: 29 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4369 and 625532.\nAnswer: 160761724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57074697?\nAnswer: 3, 29, 218677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 40. Is k a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/5, 3\/8, 0.2, -2\/9, -62\/5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -16) + (14 - (-13 - -29)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 41\/5 of a millennium?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -16.0392 + 11.03996. Let o = d - -5. What is o rounded to four dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19451048 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*b*t**3*v**2 + 7*b*t**3 - b*t**2*v**2 - 29*b*t**2*v + 2*b*t*v - 6221*b*v**2 + t**3*v wrt v.\nAnswer: -4*b*t**3 - 2*b*t**2 - 12442*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 130.2472 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -4, -2\/11, 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2626169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of z**4\/24 + z**3\/6 + 2*z**2. Let n be t(1). Let i(f) = 2 + f - 5*f + f**n - f. Calculate i(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -252*f**5 + 1636*f**4 + 2896*f**3 + 1136*f**2 + 128*f = 0. Calculate f.\nAnswer: -1, -2\/7, -2\/9, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10738019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 47964 and 36.\nAnswer: 143892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(19) + 1 + sqrt(95)\/sqrt(5))**2 + -5 - ((-1 + sqrt(475))**2 + sqrt(475) + 4)) + 3.\nAnswer: -405 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 6*n**2 + 99*n + 447. Let c(q) = -q**2 - 16*q - 75. Let o(h) = -6*a(h) - 34*c(h). Find t such that o(t) = 0.\nAnswer: -22, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21.98927 + -0.01073. Which is smaller: -39 or d?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/(m\/(m*m\/(m*(m*m**(-4\/11)*m)\/m*m*m)*m*m)))\/m))\/(m\/(m*m**(-7\/3))))\/(m*m\/m**16*m\/m**(-8)) assuming m is positive.\nAnswer: m**(142\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -4, -5, -667 in decreasing order.\nAnswer: -1, -3, -4, -5, -667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 596359*13.5.\nAnswer: 8050846.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 143 and 585.\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 6.3. Let d = -26 + 28. What is the third smallest value in n, d, 2\/9?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -15? (a) -0.5 (b) -4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-21042)\/(-334)*(24\/294)\/1\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*b = -83*b - 78*b - 2*w - 57, -2*w - 51 = 5*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 245462?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 128*n**2 + 43*n + 218. What is the thousands digit of w(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Suppose -5*a - 4*b + 3 = l, -a + b = -2*a. Let f be (-9 - a)\/(6\/(-4)). Solve -3*k + 1 = -f for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 y when two letters picked without replacement from xyxssfxscwsxwwx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + 4*l - 2. Let p = 108349\/22 + -4924. Which is smaller: l or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3058*t + 3056*t = -16*y - 130, -3*y + t - 25 = 0 for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*n = -157, -2*n = -2*u - 3*n + 63. Suppose r = -3*r + 12, 0 = 2*q - 3*r + u. Sort -2, q, 1 in ascending order.\nAnswer: q, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 0*v = 4*y - 3264, -5*y + v = -4064. Let j be (-6)\/(-10) + y\/(-20). Let r be 2\/(-1) - j\/18. What is the nearest to r in -2, -1\/2, -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - ((-8)\/(-2) + -12)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 3*n = -6934, 163*n = -4*f + 160*n + 13886. What is the remainder when f is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 68*o - 25*o - 20*o - 1 - 24*o. Suppose y + 4 = 3*y. What is n(y)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 9 + 16*t - 25*t - 3*t - 4*t. What are the prime factors of s(-3)?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49265238?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*o + 15*o. Suppose 2*z = -6*s + 3*s + 5, 2*s - z - 8 = o. Solve 2*i = s*i - 3 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d**3 - d**2 + 1. What is q(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cn when two letters picked without replacement from {d: 3, z: 1, n: 1, s: 1, c: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 12*k = -18. Let w(b) = b. Let z(g) = 2*g**2 - 7*g + 1. Calculate k*w(d) - z(d).\nAnswer: -2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-6)*(-520)\/16*12\/5\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4678428 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/9 (b) -0.49 (c) -3 (d) -2\/7 (e) 0.5 (f) 1.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 5. Suppose c*d = 4*g + 10, -5*g - 2*d = 2 - 1. Let b(s) be the third derivative of s**6\/40 - s**5\/30 - s**4\/12 - s**3\/6 - s**2. What is b(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -53*d**5 - d**2 + d + 1. Let y(i) = -7470*i**5 + 7315*i**2 + 6*i + 6. Let h(u) = 6*x(u) - y(u). What is the third derivative of h(t) wrt t?\nAnswer: 429120*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -2, -0.2, 10\/27 in increasing order.\nAnswer: -2, -0.2, 0.2, 10\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2231 + 10013?\nAnswer: 12310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3167 + -1304. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 20*j**2 + 62*j - 1452. What is the remainder when 1997 is divided by m(19)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1.916256 years?\nAnswer: 0.1916256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6820 - 493*l**2 + 805*l**2 - 314*l**2.\nAnswer: -2*l**2 + 6820","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 24 = -4*r + r, k + 12 = 3*r. Suppose -r*t = 3*u + 2*u, u - 2 = t. Suppose -i + 13 = -u. What are the prime factors of i?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3, 26, 65, 120, 191, 278?\n\"Answer: 8*h**2 - h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, z: 2, a: 5, e: 11}. What is prob of picking 4 e?\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -19 - (-3 + -9)) + 15.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from ooooooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 5, 100 in descending order.\nAnswer: 100, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c + 3. Let w be m(4). Let a = -824 - -822. What is the nearest to -2 in w, a, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 470675 and 1068985.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(133) + (-4*sqrt(133) + sqrt(133) + sqrt(133))*2)\/((sqrt(77) - sqrt(77)*-2)\/sqrt(11))*-2.\nAnswer: 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8.6 + 9. Let f = 0.1 - -0.1. Let m = f + 0.8. What is the closest to 0 in 3, w, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 522 divided by 87.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*m + 2*y - 2, -4*m - y + 13 = 0. Suppose 0 = -5*p + 5*c + 80, -5*p + 2*c - m*c + 80 = 0. Calculate the least common multiple of p and 14.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-28)\/(12\/(-3)) - 4. Suppose 2*r - 40 = -5*h, 0*h + r = -k*h + 24. Let c be 12\/((h\/(-18))\/(-2)). What is the greatest common divisor of 18 and c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - (-14)\/(-4))\/(2\/(-8)). What is the second derivative of -49*x**3 + b*x**5 + 26*x + 49*x**3 wrt x?\nAnswer: 280*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 8*u**2 + 6*u - 4. Give i(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 11. Suppose -60 = 2*s + d*s. Let f(u) = -u**2 - 28*u + 4. Let g be f(-28). Sort -2, g, s in increasing order.\nAnswer: s, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344371039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 11*f + 3. Let x be g(4). Let v = x - 41. Suppose 2*y - 56 = -7*i + 2*i, 2*y + 34 = 4*i. What is the smallest common multiple of v and i?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.879 * -1.2\nAnswer: -1.0548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336 = 5*j - j. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -261*x**2 + 13316*x - 91. What is i(51)?\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + -5 + 145 + -150.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 276 <= 89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xzz when three letters picked without replacement from {x: 5, y: 3, z: 4}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + -5)*(1 + (-2)\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12782963262*r - 2*r**3 + 12782963262*r.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1322 - 2643 + 31278*o**3 - 104145*o**3 + 1321.\nAnswer: -72867*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/9)\/((-48)\/(-18)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**4 - 209 - 113*k**4 - 116*k**4 - 25*k**4 with respect to k.\nAnswer: -1028*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3161*0.4\nAnswer: 1264.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 100, 529, 1288, 2377, 3796, 5545?\n\"Answer: 165*i**2 - 66*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 660 and 418.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0761303 rounded to 3 decimal places?\nAnswer: -0.076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.47 + 3.56. Let k = y - 0.09. What is the nearest to k in -4, 0.4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85753 is divided by 28584.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*(n\/(n\/(n\/(n*n\/(n\/(n**2\/n))))))\/n)\/n)\/n**2)**(2\/9) assuming n is positive.\nAnswer: n**(-8\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 129*c - 16770. Calculate the remainder when n(131) is divided by ((-38)\/(-8))\/((-3)\/(-12)).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23782341*j + 7055201 wrt j.\nAnswer: -23782341","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904198 is divided by 440?\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57788 is divided by 64.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -10 - 11. Let k be 1\/(-2) - o\/(-2). Let r = -130 - -653\/5. Put k, 0.5, r in descending order.\nAnswer: r, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3678, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r - 391 = -371 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 19430594 to the power of 1\/3, to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2231 - -100013?\nAnswer: 31122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 13364934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m**2 + 304*m + 5776\/5 = 0. What is m?\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47830*d**3 - 92945*d**3 + 50064*d**3.\nAnswer: 4949*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 2\/3 (c) 2\/9 (d) -2 (e) -0.07\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 11:24 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t**2 + 3*t**2 - 4*t**2)*(3*t - 62*t + 2*t - 17*t).\nAnswer: 148*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7690.84 - 7665. Round h to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of -3*u**4\/4 - 7*u**3\/3 - u - 3. Suppose -4*b - 4*y + y = 20, 0 = -y. Is d(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from prpprppprrpppprppp. Give prob of sequence rpr.\nAnswer: 65\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 1670*g**2 - g - 5. What is the units digit of b(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - c**2 - 141*c + 59444. What is the thousands digit of h(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 22\/663 and -38\/2362575?\nAnswer: 30713475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 786.2522 years to centuries.\nAnswer: 7.862522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -7*i**3 - 45*i + 5*i**3 - 3 + 50*i + 3*i**2. Let n be 1 - (-1 - 0 - 3). Let t(l) = -3*l**3 + 4*l**2 + 6*l - 4. Give n*t(w) - 6*y(w).\nAnswer: -3*w**3 + 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u - 30 + 88 = 203. Solve 7 = u*z + a, -5*z + 3*a = 10 - 9 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -12 - (30 - 11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.046 + 2.954. Let i = -595750 - -595753.000056. Let y = t - i. Round y to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9 and 2421?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 - 8*x**2 + 9*x + 3. Let j(i) = i**3 + i**2 - i - 1. Let v(w) = 3*j(w) + q(w). What is v(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002655889774 to six decimal places.\nAnswer: 0.002656","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 10 - (8 - (7 + -1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 699674421 to the nearest integer?\nAnswer: 888","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 4*s - 24, -a + 4*a = s + 1. Suppose -f - 5 = -a*c, 2*f - 18 = -5*c - 1. Put c, 5, -2 in descending order.\nAnswer: 5, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 14*y**2 + 13*y - 19. Give r(13).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.43 - 3.7. Which is the smallest value? (a) r (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 402318*p**3 - 808813*p**3 + 406492*p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 55 - 28. Calculate the lowest common multiple of ((-140)\/80)\/(1\/(-4)) and i.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 88 = 4*v - 68, 0 = -5*g. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/46176 and -113\/17760.\nAnswer: 230880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 8*d = 38, 3*d - 33 = -6757*g + 6752*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 32795609?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 12, p: 6}. Give prob of picking 3 r.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 76?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 62.56388 - 0.12388. What is m rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1 - 8*w**2 + 10*w**2 + w - w**2. Let b(z) = 3*z**4 - 6*z**2 - z + 6. Let r(g) = -b(g) - 6*v(g). What is the second derivative of r(a) wrt a?\nAnswer: -36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*s + 5*r - 4, -5*s + r = -21. Let f be s + -3 - (-2 + -1). Solve -p**f + 14*p**2 - 5*p**4 - 8 - 2*p**3 + 3*p**5 - p**5 = 0 for p.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -5. Let r be 2 + (-6)\/a*1. Solve 2*p - 3*x + 11 = p, -r*x + 17 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*d - 5*g + 35, 9*d + 8*d - 21*d - 31 - 24 = 2*g - 27 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001009562 to 6 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-2\/43)))\/((i\/i**(-14))\/i))\/((i*i\/i**(2\/27))\/i)**42 assuming i is positive.\nAnswer: i**(-20450\/387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f**2. Let d(s) = 5*s**2 + 9*s - 9. Let p(n) = -n**2 - 2*n + 2. Let o(b) = 2*d(b) + 9*p(b). What is o(v(t))?\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 1566.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 - 3637?\nAnswer: -3636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 992.738 times -34\nAnswer: -33753.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -14*p**4 + 11*p**3 + 16*p**2 + 3. Let b(q) = -q**4. Let m(f) = -6*b(f) + g(f). What is the third derivative of m(y) wrt y?\nAnswer: -192*y + 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**2\/2 + 9*u + 45. Suppose -5*d + 77 = 17. What is the remainder when q(d) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 5, r: 2, b: 2}. What is prob of sequence xx?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 135404202 (base 6) to base 3\nAnswer: 12020110221202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**2 + 5*k**2 + 5*k**2 + k**2.\nAnswer: 11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*q + 13. Suppose -q*x - 3*f = -4*x - 10, -x = f - 2. Factor -2*v**x + 3\/2*v**3 + 1\/2*v**5 - 2*v + 0 + 2*v**4.\nAnswer: v*(v - 1)*(v + 1)*(v + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3002 - -11?\nAnswer: -2331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**3 - 79*j**2 - 31*j + 9. Determine f(-39).\nAnswer: -303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 s when two letters picked without replacement from mssssm?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -183 - -107. Let s be ((y + 1)\/(-5))\/1. Let k be 23 - (9\/s - 6\/(-15)). Solve -2*f + k = -5*t, 5*t = 2*f + 3*t - 10 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116051 + 107*i - 102*i + 116051.\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 245*g - 267*g - 1355 = 249*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 4) in base 13?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - 6 - 14 - (-50 + -8 + (3 - 7)).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 63126685 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-70))\/(6\/160*-4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*w**3 - 3844*w**2 + 4*w + 3844.\nAnswer: -4*(w - 1)*(w + 1)*(w + 961)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n - j + 149 = 0, 5*n - 202 = 4*j. Let p(b) = 2 - 2 + 6*b + 1. What is the remainder when n is divided by p(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84455654 divided by -1017538?\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 + 1 - 0) + (530 - 518)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239674298?\nAnswer: 2, 119837149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 39\/503 (b) 2\/13 (c) 17 (d) 3\/7 (e) -6\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.3 and -11 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 220 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kdk when three letters picked without replacement from kpaaaddddma.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 0.9 (c) -5 (d) 2\/21 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -13. Suppose 48 = l*c - c. Let y = c + -4. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*k + 396, 4*b - b - 260 = -2*k. What are the prime factors of k?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137421 is divided by 341.\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.67 + 0.67. Let s = 5 + -1. Let i = q - s. Put i, 0.4, 5 in descending order.\nAnswer: 5, 0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/6)\/((-5)\/(-30)). Solve 4*t - v*t - 16 = 5*k, 8 = -2*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 8111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 87*s**2 + 82*s**2 - 3*s**3 + 7*s + 3*s**3 + 6. Let u(j) = j**2 + 7*j + 6. Suppose -8 = b + b. Let i be u(b). Determine l(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i\/(i**(2\/13)*i)*i*i)))\/(i**(1\/7)*i)*i\/((i*i**2)\/i)*(i**(-4\/9)\/i)\/i*(i**(-9\/5)*i**(-8))**(-7\/10) assuming i is positive.\nAnswer: i**(209617\/40950)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 9:43 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 2*u + 25, 0*w = -3*w - u + 15. Let k be (-2)\/w - 192\/20. Let y = 4 + -14. Are y and k unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*b - 98599, 5*b + 131486 = -1464*j + 1468*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -169*y**2. Let x(q) = 6875*q. What is x(i(b))?\nAnswer: -1161875*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, -50, 2, -249, 3, -2, 6.\nAnswer: -249, -50, -2, 2, 3, 6, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4055744244?\nAnswer: 2, 3, 1229, 275003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -177 + 299. Suppose -34 - m = 6*x. Let a = -20 - x. Is 6 at most as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 8 = -12*t. What is the nearest to t in -2\/3, 0.1, -0.4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 + -12 + (2 - 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5*j + 532 = 0. Let x be (-3)\/8 + j\/56. Suppose -6*d + 15 = -3*d. Solve -x*u = -d*z - 8, -2*u = 5*z + 3*u + 15 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 10:28 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 73*s + 26 + 0 - 29 - s**3 in the form u*s**2 + a*s**3 + f + l*s and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 201*v**2 + 3*v. Let o be u(1). Let j = o - 192. Solve 10*r - j = 6*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6752.3 - 6795. Put a, -0.4, -1 in ascending order.\nAnswer: a, -1, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5897 bigger than 9518?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*m - 5. Sort 4, m, 3 in increasing order.\nAnswer: m, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*w**3 + 2*w**3 + 0*w**3)*(50*w + 32*w - 30*w) - 2*w**4 + 2*w**4 + 2*w**4.\nAnswer: -102*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -10*r**2 - 18*r - 42. Let p(x) = 3*x**2 + 6*x + 15. Let v(k) = -4*h(k) - 11*p(k). Give v(-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 - 13*n**2 + 28*n**2 - 7*n**2 - 5*n**2.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 455*n**2 + 217 - 222*n**2 - 218 - 223*n**2.\nAnswer: 10*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -3*j - 5. Let b be k(-3). Solve -3*z + 9 = -i, 2*i + 5*z - 11 - b = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*v = 0. Solve -2*x = -v*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -22*r**2 + 2*r - 6. Let g(s) = 7*s**2 - s + 2. Determine 8*g(j) + 3*p(j).\nAnswer: -10*j**2 - 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-3))\/((-4 - -8)\/232536). Let k = g - -31043. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d**3*g**3*m**2 - 236*d**3*m**2 + 39*d**2*g**2*m**2 - d**2*g*m - 3*d**2*m**2 + 2*d*g**3*m**2 wrt d.\nAnswer: 12*g**3*m**2 - 1416*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*z = -4*z + 9, 5*q = 3*z - 1. Let m(i) = -i**3 + 2*i + 1. Let s be m(2). Let b be (-2)\/s - (-56)\/(-72). Is b != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 291 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84658*y - 84677*y = -283746. Calculate the highest common factor of 152 and y.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41793466 divided by 110858?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of (-160)\/(-3)*(-1254)\/(-95)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g. Suppose -2 = -q + 1. Let w(n) = -q*n**2 + 2 - 2. Determine w(a(k)).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -30*u. Let y(j) be the first derivative of 7*j**4\/24 - 82*j**2 - 106. Let d(l) be the second derivative of y(l). Determine x(d(n)).\nAnswer: -210*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 - -612?\nAnswer: 632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -572922 + 137594 = -152*t. List the prime factors of t.\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, p: 3, e: 5, n: 3, z: 2}. Give prob of picking 3 n and 1 e.\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dviv. What is prob of picking 1 d and 1 i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1601418, 1601409, 1601400?\nAnswer: 1601391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 4*q + 31, -11*t + 7*t = q - 16 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/(t\/(t\/t**(-13)*t)))*t)\/t*t*t\/(t*t**(-3\/4)))\/(t*t**(-2\/3)*t)**19 assuming t is positive.\nAnswer: t**(-451\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 3*p**3 + 6*p**2 - 4*p + 3. Let g be u(-5). Let x = g - -676. Suppose -24 = 5*m - x. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -471*n**6\/2 - 3*n**2 + 320*n - 1610. What is the second derivative of r(c) wrt c?\nAnswer: -28260*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 9:33 PM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 146807342 and 41514.\nAnswer: 440422026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 20*q + 16. Let l be s(-20). Suppose l*z + 2 = 17*z. What is the third derivative of -108*n**6 + n**z - 32*n**2 + 92*n**6 wrt n?\nAnswer: -1920*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 853455 to the nearest integer?\nAnswer: 924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 6a07?\nAnswer: -6a09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -217259, -217238, -217181, -217070, -216887?\n\"Answer: 3*o**3 - 217262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10704 and 441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170060 is divided by 56683?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 + 7 - 5 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -102 + -10313002133311?\nAnswer: -10313002200013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekwewweagakagee. What is prob of sequence gee?\nAnswer: 4\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -32*z. Let d(b) = -154*b**2. Calculate d(q(t)).\nAnswer: -157696*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**2 + 17. Suppose 7*w - 3 = 3*w - z, 2*z = 2*w + 6. What is the remainder when g(w) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6.1370597825017 and 0.9.\nAnswer: 7.0370597825017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 493430 by 266.\nAnswer: 1855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Do 216 and -14906 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of 0 + 2*v + 3*v**2 - 5\/3*v**3. Let b(z) = 63*z - 11. Let w(s) = 29*s - 5. Let j(x) = 6*b(x) - 13*w(x). What is 6*j(n) + o(n)?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1392*g + 1311 = 1335*g for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 6:20 PM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19195904, -76783622, -172763152, -307134494, -479897648, -691052614, -940599392?\nAnswer: -1228537982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -3. Let r(c) = -4*c + 38. Let o be r(33). Let y = 115 + o. Solve 0 = 4*d - 3*f - y, b*f = 2*d + f - 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 2 i when four letters picked without replacement from {z: 2, i: 9}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10595*l - 9458 wrt l?\nAnswer: 10595","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 + b**2 + 7*b + 5. Determine l(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 7054 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 divided by 32?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 4539765?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2243150?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 1. Let b be a(0). Suppose 4*c = -3*h + 16, 0 = 5*h - h + c - 17. Suppose 0 = h*n - 2*x + 6, 2 - 5 = -3*x. Sort b, n, -3 in decreasing order.\nAnswer: b, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 198529 is divided by 36.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2488 and 5235374.\nAnswer: 20941496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/66 and 87\/127604?\nAnswer: 4210932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8545 - 5030. What is the thousands digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**15\/(s\/((s**(-2\/3)*s)\/s)) assuming s is positive.\nAnswer: s**(40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4 + 44*w**3 + 44*w**2 - 236*w + 144.\nAnswer: 4*(w - 1)**2*(w + 4)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1 - 85968*d + 15 - 7 + 85970*d. Let r(t) = -56*t**2. What is r(b(m))?\nAnswer: -224*m**2 - 2016*m - 4536","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2436528 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 658.5044 centuries to decades.\nAnswer: 6585.044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -248?\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1579, -1577, -1575, -1573?\n\"Answer: 2*w - 1581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 534 + 1266. Is 40 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 - 73*d**2 + 86*d + 6696. Give l(-35).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fse when three letters picked without replacement from {s: 1, f: 4, e: 1, t: 1, y: 6}?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -6*m**2 - 2270*m + 32134. Give h(-392).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -y**3 + 212048*y**2 + 0*y - 212062*y**2 + 0*y - 77 wrt y?\nAnswer: -3*y**2 - 28*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 377*p + 441*p - 176688 = 0. Let t = 36 - 9. Calculate the highest common factor of p and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/77898 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -304 - -307. Suppose 2\/5*k + 0 + 2\/5*k**5 + 12\/5*k**o - 8\/5*k**2 - 8\/5*k**4 = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 110 - 106. Suppose 0 = r*n + h - 24, 6*n - 4*n = 3*h - 2. Solve 7*m = 2*m + 5*j + n, -4*j = -5*m + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.06 + -0.03. Let v = o - 6.03. Let z = v + 10. What is the third biggest value in z, -2, 0.1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (20*h**3 + 3*h**3 + h**3)*(0 + 0 - 2*h) as j*h**2 + s*h + u*h**4 + g*h**3 + q and give u.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1843513 or -5530537\/3?\nAnswer: -1843513","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 24*p + 3. Let y be l(3). Let q be ((-4)\/(-6))\/(5\/y). Suppose 258*v - 257*v - 3 = 0. Solve 2*w - v*o - 2*o = 6, -q = 2*w + 3*o for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(162) + (sqrt(162)*-1 - sqrt(162)) + -4 + sqrt(162) + sqrt(162) + -1*sqrt(162)*-1)**2.\nAnswer: -36*sqrt(2) + 649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-146721)\/(-6)*(-20)\/50*-5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19753.\nAnswer: 19753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1021*a*x**3*y**2 + 1157*a*x**3 - 5745*a*x**2 + x**2*y + 84*x*y**2 wrt x?\nAnswer: 6126*a*y**2 + 6942*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (92 - -26) + 41 + -83 + 25\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 AM and 1:04 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 286960 and 1088?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - n. Suppose n = x - 5*j - 8 - 6, 4*j + 12 = x. Let s = -98766\/13 + 197545\/26. Which is the third smallest value? (a) s (b) -0.35 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((14\/(-49))\/2*-7)\/(1\/21)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ixx when three letters picked without replacement from xxzziiizoh.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7088095 - 2.129?\nAnswer: -1.4201905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -15 times 0.0778147\nAnswer: -1.1672205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2405)\/(0 + (-4)\/(88\/2)). Suppose 0*i + z = 4*b - 5*i, 3*b - 19855 = i. Suppose -33*v = -37*v + b. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135018463 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of 3*y**8\/56 - y**6\/30 + 485*y**4\/12 - 577*y + 1. Find the third derivative of q(s) wrt s.\nAnswer: 360*s**3 - 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 223012?\nAnswer: 223014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2\/4 - 473*t\/2 - 947\/4.\nAnswer: (t - 947)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 180 = -40. Suppose o*y - 84 = -4. Let s(n) = 3*n - 4. What is s(y)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 16, l: 1, y: 1}. What is prob of sequence uyl?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 2, -0.0053, 5, 2\/11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 173 and 97924.0346?\nAnswer: 97751.0346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3410 or -3409?\nAnswer: -3409","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1020 divide 4087140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4187082589 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 453416329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1274 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -1013*r + 66748. What is u(66)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 152504 = -c, 93925 = 2*b - 3*c + 32920. Let s = -6501 + b. Round s to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + 9\/(-4) + 2. Let c = -1 + -3. Put 4, o, c in increasing order.\nAnswer: c, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (22 + -24)*10\/(-4). Suppose 24 = 4*d + 8. Suppose c*t - 2 = -2*s + 3, 0 = -2*t - 2*s - d. Solve -v + t*v = 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - 99.373?\nAnswer: -129.373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -58 + 119\/2. Is 25 greater than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -21*y + 14*y. Suppose 14*f - 220 = -y*f. Calculate the smallest common multiple of 4 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**4\/11 + 48448*g**3\/11 + 88060*g**2 + 4842800*g\/11 = 0?\nAnswer: -48428, -10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01356032 to 5 decimal places.\nAnswer: -0.01356","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*u**2 + 4207515542 - 4207515542 + u.\nAnswer: -42*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -95*z**2 + 184*z**2 - 4*z**3 + 0*z**3 to u + n*z**2 + r*z + v*z**3 and give n.\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/26 + 70\/(-3640). Let z be 145\/(-140) - 9\/(-12). Let v = 0.8 - -2.2. Which is the closest to z? (a) -0.1 (b) l (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 385 = 2*n. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/22839185 not equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 11:40 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1900) - sqrt(1900) - sqrt(1900)) + sqrt(19) + (1*sqrt(76))\/sqrt(4) - (-4 + sqrt(1539) - 4*(sqrt(19) + sqrt(19)*5)).\nAnswer: 6 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z**2 - 2*z - 1. Let u(x) = x**3 - 23*x**2 + 17*x + 18. Let n(o) = -4*t(o) - u(o). What are the prime factors of n(11)?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*k + 909 = -904 + 1507 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 + 35 = 5*a. Suppose 5*g - a = g - 3*v, 2*v = g - 15. Solve -3*k + 27 = -5*h, 0*k = 2*k + 5*h + g for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21304004?\nAnswer: 2, 479, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 864479949 to the nearest integer?\nAnswer: 953","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 150, 103, 32, -75, -230, -445?\nAnswer: -732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1686?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -286, -1254, -2898, -5218, -8214, -11886, -16234?\n\"Answer: -338*j**2 + 46*j + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*v**3 - 4*v**3 - 8*v**3 + (-1 + 4*v + 1)*(v**2 + 2*v**2 - 4*v**2) + v**3 - v**3 - 3*v**3.\nAnswer: -16*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*(-1 + sqrt(200))*-5 + -5*((0 + sqrt(200) + 4 - sqrt(200)) + sqrt(200)))**2 + -1.\nAnswer: 2000*sqrt(2) + 80023","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 8 = -n - 15, -n = -z + 13. Suppose q = -q + z. Suppose -q*c = -2*c - 45. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -4*v - 43 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0785 + 319.0785. Let d = h + -320. Which is the nearest to d? (a) 1\/6 (b) -1\/2 (c) 20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -907532 and 544?\nAnswer: 908076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/(-5))\/((-62)\/20 - -3). Let w be d\/(0 - (-3)\/36). Factor 17*q + w + 4*q**2 + 31*q + 0*q**2.\nAnswer: 4*(q + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6699.516cm to micrometers.\nAnswer: 66995160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o - 2*o - 29 = -2*u, 4*o + 30 = -1668*u + 1673*u for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d + 4. Let u be j(6). Let y(q) = 8*q**2 - 5*q + 4. Let m(a) = -a**2. Let o(k) = u*m(k) + 4*y(k). Find t, given that o(t) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*o - 5403 + 2011 for o.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 160737248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7728, 7838, 8088, 8532, 9224, 10218, 11568?\nAnswer: 13328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15794649, 15794652, 15794655, 15794658, 15794661?\nAnswer: 15794664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55133386, 110266797, 165400222, 220533667, 275667138, 330800641?\nAnswer: 385934182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.07 + -4.07. Let q = -255\/4 + 64. Suppose -z + m - 1 = 3, 5*z - 4*m = -16. Which is the nearest to z? (a) f (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1472 + 1488. Calculate the greatest common factor of h and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 50 - 22376*k**2 + 56 + 63 - 169 to the form j*k**2 + o*k + f and give j.\nAnswer: -22376","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 5.4. Let s = -3.3 + 3.2. Sort 2, s, z.\nAnswer: s, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15405 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3 - 14521882*p**2 + 26360624841798*p + 26360639363682.\nAnswer: 2*(p - 3630471)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3215.871 + -4.129. Let f = -3219.93353 - u. Let x = -0.067 + f. What is x rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 - 3.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -3*k - 2. Let l be f(1). Let b(u) = -u - 10. Let g be b(l). Sort g, 3, 0.\nAnswer: g, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(-2 + 4) + 1 + 25. Let w = -27 + y. Let j be w*(4 - -6)\/(-5). Solve 5*f - j = 2*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35239\/5340 + -7\/445. What is the common denominator of a and 91\/172?\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 272200b?\nAnswer: -2722012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/4 of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000009590693 rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -82.1 * 2503\nAnswer: -205496.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2448) + -3)**2 - ((1 + sqrt(833))**2 - (0 + (sqrt(68)\/sqrt(4) - sqrt(17)) - sqrt(17))).\nAnswer: -39*sqrt(17) + 1615","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-1)*u)\/(u**(-1\/3)\/u))**(2\/11) assuming u is positive.\nAnswer: u**(20\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 265\/8 - 2 - 1254\/10032\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2. Let y be (7\/(-4) + 2)*12. Let f be x(y). Calculate the greatest common factor of 198 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.08? (a) -5\/3 (b) -2\/11 (c) 12.5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 174669, 349274, 523867, 698442, 872993, 1047514, 1221999, 1396442?\n\"Answer: -v**3 + 174612*v + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -6. Suppose 3 = 8*n - 13. What is t in l*t - 10 + 5*t + 2 - 4*t**n = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2068 + -2033. Calculate the remainder when 351 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 1323 = -8*h. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1782672 bigger than 1782674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 10 - 0 - (-11765 - -11793)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 + 2*c**2 - 3*c**2)*(97 - 104 - 5*c**2 + 60) + 3*c - 3*c + c**4.\nAnswer: 36*c**4 - 371*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**4 + 400*b**3 + 803*b**2 + 402*b = 0. What is b?\nAnswer: -1, 0, 402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, 424, -5.\nAnswer: -5, 34, 424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -405*p**3 + 75960*p**2 + 33820*p + 3760 = 0.\nAnswer: -2\/9, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by 969.\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -1513 (b) -2\/11 (c) -0.3 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 6) in base 13?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 3*i**2 - 22*i + 22*i to the form c*i**2 + g*i + p and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 52*y + 1 + 0 + 8*y.\nAnswer: -44*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4))**(-11)\/((g**(-2\/3)\/g)\/g*g**(-1\/2)) assuming g is positive.\nAnswer: g**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**3 - 5*x**2 + 2*x - 5. Let l(j) = 7*j - 1. Let g be l(1). What is the units digit of m(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4288688, 8577375, 12866062, 17154749?\n\"Answer: 4288687*u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u = 13*u - 6. Let j(l) = 3*l**2 + 0 - 1 - 4*l**u + 2*l**2. Let h(a) = -4*a + 4. Let n(v) = h(v) + j(v). Factor n(x).\nAnswer: (x - 3)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 989659?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 8:57 AM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1671 in -0.5, 13, -3.6?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-284)\/(-18) - 12\/(-54). Suppose -80 = -8*k + a. Calculate the greatest common factor of 84 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d - 326*d**2 - 3*d + 5*d.\nAnswer: -326*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1020 and 21178872?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -856.\nAnswer: -3424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304985?\nAnswer: 5, 181, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.28 and -284352.\nAnswer: -648322.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (174\/(-12) + 13)*(-130)\/15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p. Let w be f(-2). Let b = 14 + w. Let c = 4 + 4. What is the least common multiple of b and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 13. Let b(u) = -2*u**3 + 8*u**2 - 5*u - 3. Let h be b(3). Let q be 2 + h\/(-1 - -4). Solve p*v - q*c = 6, 7*v - 2*v + 5*c = 45 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65452.\nAnswer: 2, 16363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -9434, -9410, -9352, -9242, -9062, -8794, -8420?\n\"Answer: 3*g**3 - g**2 + 6*g - 9442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 7*q - 10*q = -41, 0 = -3*v + q + 47. Suppose v*x - 176 = 6*x. List the prime factors of x.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + -28232?\nAnswer: -28236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 73410864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, p: 5, r: 3, e: 4}. What is prob of sequence eupp?\nAnswer: 2\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -416\/3 - -140. Suppose 95*q - 12 = 91*q - 2*f, -2*q - 4 = -4*f. What is u in 4\/3*u + 8\/3 - n*u**q = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2355581645.\nAnswer: 5, 67, 379, 18553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 20981?\nAnswer: 209810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -153 + 520. Does 13 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-7)*k)\/k**(-10)*k**(2\/9)\/(k\/(k*k**(-7\/4))) assuming k is positive.\nAnswer: k**(89\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.11 + 0.11. Let d = h + 5. Let l = -3 - d. Which is smaller: l or -2\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -3\/7 (b) -10 (c) -2\/3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 7b7 (base 16) to base 5\nAnswer: 30400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.26 + 0.28. What is r rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.104 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 627*w + 702*w - 11222 = 89782 for w.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ondf when four letters picked without replacement from {f: 5, d: 5, o: 3, n: 1, q: 2}?\nAnswer: 5\/2912","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 17 = -5*p + 74, -5*p + 54 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of -c**6\/120 - c**5\/60 + c**4\/8 + c**3\/3 - 3*c**2. List the prime factors of h(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -183 + 181 - (-9 - -1 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 3*a**2 + 2*a**4 + (-a - a + 0*a)*(a**3 + 2*a**3 - a**3) - 6*a**4 + a**4 + a**4 + (0*a**3 + 5*a**3 - 2*a**3)*(3 - 5 + 1)*(a + 5*a - 3*a).\nAnswer: -15*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o - 9*o)*(4*o + 6 - 5 - 5).\nAnswer: -36*o**2 + 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/943 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 38191032 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39613 divided by -76.\nAnswer: -39613\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 292\/2755877?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1175.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 508135 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -340 - -337. Is g smaller than 0.23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -1256 - 709. Suppose 16*t = -67 + w. What is the remainder when (-13*2)\/(-3 - -1) is divided by t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22244980?\nAnswer: 2, 5, 31, 35879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - 0 - ((-108)\/(-26) + -5). Sort -0.2, -10, v in ascending order.\nAnswer: -10, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 4 = -2*j, -16*j + 4*k = -13*j + 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2*u**3 - 5*u**2 + 2*u + 2. Let a be t(3). Let n be (a - 19) + 7*1. Let w(c) = -23*c**3 - 9 + 4*c + 10 - 6*c + 6*c**2 + 22*c**3. Calculate w(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 5 + 12)*(0 - 3 + 4)*(-1 + 1 - 2*j) - 17*j - 3*j + 0*j.\nAnswer: -64*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1505 and 89985?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, 2\/9, -2, -3\/7 in decreasing order.\nAnswer: 0.6, 2\/9, -3\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x**2 - 2*x**2 - 2*x**2)*(1 - 4 + 0)*(-2*x**2 - 9*x**2 + 8*x**2) + 4*x - 4*x - 3*x**2 - x**4 as c*x**2 + i*x + u + b*x**3 + n*x**4 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19422.04m to centimeters.\nAnswer: 1942204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8009, -16289, -24841, -33665, -42761, -52129, -61769?\nAnswer: -71681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49 + 51. Which is the smallest value? (a) h (b) 2\/17 (c) -5 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**(-16)))**(1\/17))**(-3\/25))**(-6\/13) assuming d is positive.\nAnswer: d**(288\/5525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**2 - 3*r**2 + 4*r**2)*(-6 + 6 + 4*r) + (4*r - 4*r + r**2)*(36*r + 11*r - 26*r) + 4*r**3 - r**3 - 2*r**3 + (1 - 1 + r)*(0*r + 2*r**2 + 0*r).\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 35882993 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 8522.5954.\nAnswer: 3409.03816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 5 (c) -12\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:08 AM and 11:13 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 734395008.\nAnswer: 2, 3, 1912487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q**2. Suppose 2*h = -0*h + 22. Let m = h - 1. Let t(u) = -6*u - 8*u + m*u. What is n(t(b))?\nAnswer: 32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4 - 504496*m**3 + 16013856976*m**2 - 6722005603200*m + 710137222560000.\nAnswer: 4*(m - 62850)**2*(m - 212)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11636 - -4914. Is 12 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 30 - 30. Let p = -5 + 9. Suppose -154*o - 232 = -96*o. Put -3, p, c, o in ascending order.\nAnswer: o, -3, c, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 * -31\nAnswer: -713","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v + 11. Let o be z(-12). Let n be o\/(-2)*(-24)\/(-20). Let x = n - 12. Solve -2*k + 4 - 10 = 3*p, x*p + 3 = -3*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3542 + -3537.36. Round c to one decimal place.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56146428.\nAnswer: 2, 3, 13, 119971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/12*3\/5. Let m = 156.68 - 157. Let d = -0.08 + m. Is d != o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-15)*(0 + -10). Suppose -2*v = -h + 8, 0 = h - v - k*v - 20. Let x = 1 - h. Which is smaller: x or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - 12*a**2 - 27*a - 11. Let q be o(14). Which is greater: 18\/11 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5\/3*(5 - -13). Let m = 21 - a. Let f(s) = -s + 1. What is the tens digit of f(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -218702, -218701, -218700?\nAnswer: -218699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 7210573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 90*g + 74 = -86*g, b = 3*g + 11. Calculate the least common multiple of b and 722.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 6*j**2 - 5*j + 8. Let w be s(-4). Suppose -37*c = -36*c - 40. What is the greatest common divisor of c and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + 0)*0\/3. Suppose i = -3*m - 2*m + 595. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -182.39 + 184. Let w = -0.61 + s. Which is the smallest value? (a) -0.1 (b) w (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 392928020 to the nearest one hundred thousand.\nAnswer: 392900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (1\/(-3))\/(6\/(-2466)*1) is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/24*322\/(-21). Let c = h - 815\/198. Let o = 1058\/9 - 115. Find the common denominator of c and o.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.37 - 607.63. Let s = -609 - l. Let r = -28 - -138\/5. What is the nearest to s in 28, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -v - 119. Let j(k) = 9*k - 270. Let s be j(30). Which is greater: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/((-531)\/513 - -1). Suppose -7*f + n = -16. Are 10 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 0.24.\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - -3692902?\nAnswer: 3692892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gifrgxfefxfr. What is prob of sequence xfi?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3904 a factor of 448308032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 157, 695, 1585, 2821, 4397?\n\"Answer: -t**3 + 182*t**2 - t - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2107425.\nAnswer: 3, 5, 28099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/2*(-20)\/(-6). Let j be 1 - 0 - (0 - -8). Let l = 12 + j. Solve -y - l*c = -z, -4*y + 4*c = 8 - 24 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*w**2 - 249 + 34*w**3 + 23*w - 3*w**2 - 25*w wrt w.\nAnswer: 204*w - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21857, -18418, -14979, -11540?\nAnswer: -8101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1206.980725481986 - -0.019280988014. Let b = 1207 - j. Round b to six dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*f**2 - f + 3*f**3 - 5*f + 83*f**2 - 2*f as n*f**2 + p*f + a*f**3 + i and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10755 + 75799\/7. Let k = x - 73. What is the nearest to 6 in 0.1, k, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 2. Let h be -2 - -5 - (0 + k). Suppose h*g - 3 = 2*g. List the prime factors of g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 56 - 50. Solve p*x - 4 = 11 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t**3 + 8*t**2 - 4*t - 6. Let c(v) = 11*v**3 - 23*v**2 + 12*v + 17. Let b(y) = 6*c(y) + 17*z(y). Determine k, given that b(k) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -4*k + 4*l + 76, 5*l + 15 = 0. Calculate the least common multiple of (14 + (-1026)\/95)\/((-2)\/(-20)) and k.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 100 or -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 2116?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18055\/3 or 6017?\nAnswer: 6017","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 AM and 4:26 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*10\/(-1340))\/(94\/(-141))?\nAnswer: -3\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 450 and 400.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 + 8. Let k be (-1 - g)*(-254)\/(-3). Suppose -4*f = -34 - k. What is the highest common factor of f and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18689 and 18.\nAnswer: 336402","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -272*a. Let o(n) = -2*n + 7. Let y(l) = -l + 3. Let w(m) = 6*o(m) - 14*y(m). Determine u(w(d)).\nAnswer: -544*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1693040443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*u + 545 + 2860 = -795 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 574 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 805285769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 11302272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + h - 12. Let k(t) = 2*t**2 + 86*t - 12. Let c(v) = -2*k(v) + 2*x(v). Factor c(a).\nAnswer: -2*a*(a + 85)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 3 - (2 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - 1 + 1)*(-31676*q + 15853*q + q**2 - 17668 + 15823*q).\nAnswer: 2*q**3 - 35336*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/5)\/(n*n**(-2\/7)))**(-3\/11) assuming n is positive.\nAnswer: n**(96\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 0 - 2*q**2 + 0*q + 0*q**3 - 23\/24*q**4. Let l(o) = -o. Determine z(l(d)).\nAnswer: 23*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from eeleeefefeelfeeee?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8) + 21\/(-36). Suppose 5*m - 19 = -24. Which is greater: m or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b - 8 = 0. Suppose -5*g - 5726 = -b*n, 4*n - 3*g - 14900 = -3448. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*t**2 + 12*t**2 + 10*t**2 in the form i*t**2 + r + d*t and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -5*f - 2, -5*f + 5*o - 6 - 4 = 0. Suppose -36 = -f*i - i. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of 3*i**5\/5 - 7*i**2\/2 + 10*i. Find the first derivative of r(t) wrt t.\nAnswer: 36*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00195712 to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 185 and 481.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffs when three letters picked without replacement from fsffffffffff?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*b**2 - 1737334*b - 7596138?\nAnswer: -4*b - 1737334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 98 + 19*g**3 - 4 + 45.\nAnswer: 19*g**3 + 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 22302 (base 4) to base 16\nAnswer: 2b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 10 + 17*f + 12)*(-2 + 2*f + 2).\nAnswer: 36*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-397 - 1 + 172)*((-2 - 2 - 1)*(1 - 3*o - 1)*(2 - 4 + 0) - o - o + o) as j + p*o and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6*z + 49. Let d be g(-8). Which is bigger: -1\/10 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -3*f + 255, 2*b - 45 + 470 = 5*f. List the prime factors of f.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 2*w, -43*w + 42*w = 4*h - 2*h. Solve -10*x + 113 - 103 = h for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 3176 = -2*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j. Suppose 2*i + 45 = -7. Let d = -17 - i. Let p = -11 + d. Calculate b(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the second derivative of 1\/12*i**4 + 0*i**3 + 3\/5*i**6 + 0*i**2 + 0*i**5 + 0 + 19*i. Find the third derivative of g(u) wrt u.\nAnswer: 432*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uikkkosuiisoouuim. What is prob of picking 2 s and 1 m?\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36350?\nAnswer: 2, 5, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 + 1221. Let d(p) = -19*p**2. What is q(d(u))?\nAnswer: 361*u**4 + 1221","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 71 + -44. Let v(u) = u + 16. Let y be v(-7). Let t = y + 5. What is the remainder when w is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -63, -146, -227, -306, -383, -458, -531?\n\"Answer: h**2 - 86*h + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5)\/(-20)*4 - 0. What is the second derivative of m - 1 + k + 5*m**3 - 6*m wrt m?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84fb8d (base 16) in base 9?\nAnswer: -17352838","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**2. Let z be w(1). Let i be z\/(-2 + 14\/6). Solve 2*x - 10 = -2*k, -5*x + 0*k + i*k = -25 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0 - 5*l - 2*l**2 + 7*l - 2 in the form j*l**2 + x*l + s and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + (-1*sqrt(160) - -2*sqrt(30)\/sqrt(3))\/(sqrt(10)\/sqrt(288)*4)))**2.\nAnswer: 24*sqrt(2) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 85*g + 14. Let c(j) = 171*j + 35. Determine 9*b(n) - 4*c(n).\nAnswer: 81*n - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -11761*n + 58861. Calculate d(5).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 217 + 1740. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - ((-669)\/(-42) + -4))*(5 - 1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - 1. Let w be (-1378)\/8 + 50\/40. Let i = w - -127. Let a = -39 - i. Let d(s) = -3*s - 1. Calculate a*b(r) - 4*d(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54\/31, 2\/3, 2, 0.056, 1 in ascending order.\nAnswer: -54\/31, 0.056, 2\/3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/20)\/((-44)\/110)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 1\/2*2. Let s be -1 - (-2 + 3 + -2). Let x(w) = 164*w - 164*w + s*w**2 + 2*w**i. Let b(t) = -19*t**2. Determine x(b(u)).\nAnswer: 722*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2 - 11*u + 5*u + 5*u**2 + 7*u - 4. Let s(q) be the third derivative of -7*q**4\/24 - 3*q**3\/2 - 22*q**2. Let x be s(-1). Give h(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -90642*d**3*q**2 + 5*d**3*q + d**2 - 68*d*q + 9 wrt q.\nAnswer: -181284*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/((6\/2)\/((-174)\/(-4))). Let x = o - -184. Is 4 a factor of -3*x\/(-54) - 2\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 11.34648 (b) -4 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.02 - 304.02. Let y = c - -298.2. Let w = -494\/9 - -55. Sort 0.06, w, y in decreasing order.\nAnswer: y, w, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001091943 to seven decimal places.\nAnswer: -0.0001092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 7 = -0*i + 3*i, -41 = -2*t + 5*i. Suppose -t = -a + 2. Suppose 2*b + a = 3*b. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4*sqrt(70)*-4)\/((sqrt(480)\/sqrt(8))\/sqrt(6)).\nAnswer: -64*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1053, 78743 in descending order.\nAnswer: 78743, 4, -1053","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -67. Let f = k + -16. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - n + 1 + 0.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -156.642 + 156. Round f to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 785 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 564352 - -4?\nAnswer: 564356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8207 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 - 3)*(-11*k + 30*k + 30*k).\nAnswer: -245*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.99899 + 2. Round k to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.828283 centuries to years.\nAnswer: 682.8283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 76135150 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-5)*z*(z*z**(8\/3))\/z*z)**35 assuming z is positive.\nAnswer: z**(-35\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 4*p - 171 = -0*p, -540 = -3*v - 3*p. Is v a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 0*n + 6, -4*y = -n - 45. Let d be (20\/(-4))\/5*y. What is the least common multiple of 8 and (-2)\/(-4)*30\/(-12)*d?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1098 + 1662. Suppose -q = -22*y - 146. Calculate the remainder when 90 is divided by y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4470 - 0?\nAnswer: -4470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 t when two letters picked without replacement from ppgtgppgypuyttpptpg?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*r - 30*r + 104*r = -4*r. Does r = 3\/797?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 - 10*k**2 + 4*k + 154. Give v(-8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 194917\/36 - 5414. Let l = -809\/72 + f. What is the common denominator of l and (1\/(-4))\/((-16)\/276)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410720074?\nAnswer: 2, 19, 10808423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 200\/32*126\/210?\nAnswer: 15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -11*w + 105. Suppose g - 5*q = 36, -4*g = -3*q + q - 54. Calculate the least common multiple of g and z(8).\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -60677*x + 728132. Give i(12).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -32. Let t = n + 19. Which is smaller: t or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*3\/(-3) - -152. Let t = 104 - h. Is (-68)\/(-7) + (-14)\/t a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.13380065, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/14 in -3, -19, 2, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1383 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 505 - 113?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1197706 divided by 8?\nAnswer: -598853\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 80477775 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 5*m + 2. Let s be r(2). Let b = 12 + s. Let g be 8 - (-3)\/((-3)\/2). What is the greatest common divisor of g and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -4 (c) -2\/3 (d) -1 (e) 34\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -1551\nAnswer: 6204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31225 - 213606 = -5017*k - 2521 + 48676 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26 is divided by (-4)\/(-5)*(-35)\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 9*j + 9. Give h(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 14. Suppose h + z = -2, -3*i + h = -15. Suppose -a = 5*v - 169, i*a + 54 = 2*v + a. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of 8\/3*g**3 + 9 + 2*g**2 + 2*g. Is s(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (79*i**2 + 28*i**2 - 11*i**2)*(0 + 2*i - 3 + 0).\nAnswer: 192*i**3 - 288*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -j - 281, -j - 3*j = d - 98. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = -0. Let k(v) = -3*v**2 - v. Let p be k(1). What is the least common multiple of (3\/p)\/(3\/(-24)) and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 o when four letters picked without replacement from occccoccccccccco?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 11172600?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 149 - -340. List the prime factors of c.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*c + 58 = -32*c + 24 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 AM and 9:05 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c*c**(2\/7)\/c)\/c*c**9*(c*c*c*c**(-2\/9))\/c**(-1))**(1\/3) assuming c is positive.\nAnswer: c**(886\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -86, -93, -102, -113?\n\"Answer: -s**2 - 4*s - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away -1521.783?\nAnswer: 1521.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 12650626381 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 7) in base 2?\nAnswer: -100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(1\/2))**(-7\/2)*(z\/(z\/(z**(-2\/3)*z)))**22 assuming z is positive.\nAnswer: z**(25\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-3\/5)*y**16)**21)**38 assuming y is positive.\nAnswer: y**(70224\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2808.143 litres?\nAnswer: 2808143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 0 - 1\/20*w**5 - 5\/2*w**2 + 1\/2*w**4 - 1\/3*w**3 + 2*w. What is j(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbjbjbj. Give prob of picking 2 b.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) 2\/11 (b) 5 (c) -0.5 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/14 and -37\/24375506.\nAnswer: 170628542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -21888071.768 to the nearest 10000.\nAnswer: -21890000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c + 5. Let s = 10 - 15. Let h be z(s). What is the greatest common divisor of 6 and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a day in hours?\nAnswer: 282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 10:26 AM?\nAnswer: 9:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + -2 + 46 - (4 + -2). Suppose -g = 3*p + 4*m, 4*p - 3*m + 6 + 11 = 0. Let x be (-108)\/(-16) + -1 + (-2)\/p. Sort 4, -2, 1, x in decreasing order.\nAnswer: x, 4, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -2*l + 4*l. Let i = -3 - l. Solve o - 4 = -i for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (-12 + 20) - 14.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -2*y - 3. Let n(s) = 5*s + 6. Determine 5*m(b) + 3*n(b).\nAnswer: 5*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 302 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3040 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77 - 0?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m - 1778*m**2 + 1691*m**2 - 3*m.\nAnswer: -87*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 20*p - 24*p + 7367, 0 = -6*g + 5*p + 8860. Calculate the least common multiple of 1 and g.\nAnswer: 1475","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -11. What is the third smallest value in 0.4, o, -0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from iikiciiii?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10470 and 9376932?\nAnswer: 2094","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6235?\nAnswer: 5, 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 48*r*w - 21808*r - 2*w - 4192460 wrt r?\nAnswer: 48*w - 21808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 94, 4.\nAnswer: -5, 4, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 5 - y**2 - 4 - 5*y + 1. Determine r(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-68)\/102*15\/(-4). Let x(s) = 3*s - 13. Let c be x(5). What is the second biggest value in 0.3, p, c, 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + q - 94 + 14, 4*q - 35 = -u. Suppose -5*j + 10 = -u. Suppose 3*p + 10 = j*p. Does 5 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8279 at least 1473489\/178?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 367 - 373.97. Let j = 7.1 + x. Which is the second smallest value? (a) 0.3 (b) j (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3592, -0.1, -44?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -2, -0.4, -2\/987, 1, -4\/7?\nAnswer: -2\/987","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 17 - 11, -2*a = 5*m - 15. Which is greater: a or -222?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 9937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 58277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -17*g - 14. Let l(v) = 33*v + 27. Let o(p) = -3*l(p) - 5*y(p). Calculate the common denominator of (-20)\/6*12\/(-22) and o(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.16 - -0.04. Let v be (1 + -1)\/(-2)*-1. Let j be ((-1)\/(-3))\/(9\/(-6)). Sort j, r, v in descending order.\nAnswer: r, v, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) - (sqrt(170) - (sqrt(170) - ((sqrt(170) - -2*sqrt(170))*6 + sqrt(170)))))\/(sqrt(40)\/(sqrt(16)\/sqrt(4))).\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 186541786 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -14430567 to the nearest 1000000.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 21*s**2 - 72*s - 6. Calculate j(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 9*p**2 - 19*p + 3. Let g be f(6). Put -4, 4, g, -30 in decreasing order.\nAnswer: 4, g, -4, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -3*t**2 - 8*t - 5. Let d(f) = f**2 + 3*f + 2. Let q(z) = 7*d(z) + 2*r(z). Let x = -166 - -34. Let b = 128 + x. Determine q(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/210560 and -95\/3008?\nAnswer: 210560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d - 2*d + 2 - 4)*(-6907 + 6910 + 4341*d - 929*d) to c + i*d + w*d**2 and give i.\nAnswer: -6818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o + 0*o + 3*o)*((-3 + 3 - 1)*(-3 + 3 + 16*o) - 19 + 19 + 15*o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14381596*p + 78952195.\nAnswer: -14381596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -5\/92 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + 16*r**2 + 17*r - 19. Let b(z) = z**3 - 15*z**2 - 18*z + 18. Let a(k) = 5*b(k) + 6*h(k). What is the tens digit of a(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < -135\/4261891?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 26 - 4*y**4 - 2*y - 2*y**4 + 2*y**4 - 27 as h*y**4 + l*y**2 + f + q*y**3 + c*y and give h.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 423, 1101, 2081?\nAnswer: 3363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -y**5\/20 + y**4\/4 - y**3\/2 - y**2 + y. Let v(r) = -2*r**3 + 7*r**2 + 11*r + 5. Let g be v(-1). Give x(g).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, o: 1, e: 3, y: 1}. What is prob of picking 1 e and 1 v?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and 400679.\nAnswer: -12821728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 12:25 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 34\/(10\/4 + -2). Let o(a) = 2*a**2 + 169*a + 1049. Let d be o(-79). Let h = d - y. What is the remainder when h is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - f + 34 = -6, -5*t + 90 = -3*f. Let s = t - 19. Suppose -3*l + 6*l = 3. Sort l, 5, s.\nAnswer: s, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 9:38 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(4*-2*sqrt(13) + -2))**2.\nAnswer: 32*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnibkxkkyxnnn. What is prob of sequence xy?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - s + 0*s - 3*s)*(-3*s + 2*s - 3*s).\nAnswer: 16*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((1*sqrt(13) + 5)**2 + -1) - (sqrt(234)\/(sqrt(6) + 1*sqrt(6) + sqrt(6)))\/((sqrt(3) - sqrt(3)*2)*3).\nAnswer: 541*sqrt(13)\/9 + 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -77 or -7643?\nAnswer: -77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -7*r - 63. Determine i(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the first derivative of 2*c**5\/3 + c**3\/6 + 3*c**2\/2 + 5. Let t(f) be the second derivative of s(f). What is the tens digit of t(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2178 and 1936?\nAnswer: 17424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, i: 1, o: 3, r: 1, m: 1}. Give prob of picking 1 r, 1 o, and 1 m.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1519 + -1523. Let d(w) = 3*w**3 + 4*w**2 + 4*w + 17. Let g(s) = 13*s + s**3 + 50 + 7*s**3 + 14*s**2 - s**2. Let v(h) = c*g(h) + 11*d(h). Calculate v(9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.774m in millimeters?\nAnswer: 170774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, 1, 5, 424?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30584, -30472, -30360, -30248, -30136?\n\"Answer: 112*i - 30696","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_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: Suppose 0 = 2*q - x + 6*x - 3161, -3*x + 6315 = 4*q. Suppose 2*o = -2*g + q, 0 = 3*o - 5*g + 575 - 2942. List the prime factors of o.\nAnswer: 3, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9856 and 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*h + 26. Let t = -6 + h. List the prime factors of 0 - (1 + (t - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, -3, 0.0043?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -10*f + 36953 - 36953. Let b(d) = 19*d**2. Give b(x(z)).\nAnswer: 1900*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 5*l + 536. Suppose 5*n - 1544 = -l. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/170 and -65\/87924.\nAnswer: 439620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 7, 4, 2 in decreasing order.\nAnswer: 7, 4, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 166 = -898. Suppose 154 = 17*t - j. Is 6 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.58 + 1.5799861. Round s to six dps.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953956223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -362 or -488?\nAnswer: -362","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 567 a factor of 120266937?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 5:26 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-four fifths of a millennium in years?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**1)\/n)**(1\/20))**(18\/7))**(-7) assuming n is positive.\nAnswer: n**(9\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(-4812)\/4*3\/9. Let o = b - -220. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 14 - 14.7. Let s = n - -5.7. Let y = -247\/3 + 83. Which is the nearest to y? (a) s (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - -6)*(-1 - 0 - -2). Suppose -26 = -4*g + 2*w, s*g + 5*w - 8 = 2. Let a(n) = -3*n - 2*n + 4*n. Calculate a(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-1) - (-1 + -5). Let o(p) = -p**3 + 3*p**2 - 2*p + 2. Let k be o(w). Is (1592\/4 - k) + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 2, -127908, -5 in descending order.\nAnswer: 2, -2, -3, -5, -127908","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 0*h**4 + 0*h**6 + 94\/7*h**7 - 151\/3*h**3 + 0*h**2 - 218 + 0*h + 0*h**5. What is the third derivative of j(w) wrt w?\nAnswer: 11280*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -134123 (base 7) to base 14\nAnswer: -93ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19380 and 9.\nAnswer: 58140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -7*k**3 - 4*k - 4. Let x be 8\/(-30)*-3 + 0 + 22533\/(-3885). Let g(a) = -7*a**3 - 5*a - 5. Calculate x*u(m) + 4*g(m).\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 294\/30 + -5 - (-2 - (-11 - -5)). Find s such that 4\/5*s - 48\/5*s**2 + m = 0.\nAnswer: -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, -256, 5?\nAnswer: -256","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/101 - 238\/909. Let d = -32 - -27. Put d, -0.08, i in descending order.\nAnswer: -0.08, i, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12852b (base 12) to base 9.\nAnswer: 514188","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:03 AM and 7:58 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 117*f + 5041 = x + 118*f, 0 = 4*x + f - 20140. Does 2 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -303*s**3 - 159*s**3 + 112*s**3.\nAnswer: -350*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - -2 - 2\/(-4 - -6). Solve r + 0*r - 11 = 4*b, -4*r = -p*b - 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 9360318.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5 - -3972.\nAnswer: 3971.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 413 is divided by 141.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 8*v + 29. Let y be s(-6). Let f = y - -27. Suppose -w = -k - 43 - 29, 2*w - 144 = 4*k. Calculate the highest common divisor of f and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, x: 5}. What is prob of sequence zxx?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 91.77568mm in nanometers?\nAnswer: 91775680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*l**2 + 168*l**2 - 10545 - 10538 - 10543 - 10533 + 42157.\nAnswer: 141*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1092 + 2184 - 1092 - 27*j**2.\nAnswer: -27*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 31631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-1)*6\/6. Put m, 5, 1 in increasing order.\nAnswer: 1, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 828403 is divided by 118314?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**3 + 29*b**2 - 160*b + 620. Give j(23).\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 0 - 15*h + 4 as k*h + o and give k.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -14*l**2 - 14*l - 29. Let w(x) = 5*x**2 + 5*x + 10. Determine -4*u(g) - 11*w(g).\nAnswer: g**2 + g + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**3 - 12*i**2 + 3*i + 12.\nAnswer: -3*(i - 1)*(i + 1)*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 150\/(-9) + 63 + -48 - 4\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/98 equal to 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-4)\/(-6))\/((-6)\/(-9)). Let l be -1 + -1 + o + 3. Let w(x) = -x - 3 + 1 + 4*x - 3*x**2. Determine w(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 11 - 3)*(3 - 3 - 3)*(9*a - 9*a + 4*a**4).\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 611, 607, 601, 593, 583?\n\"Answer: -a**2 - a + 613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*m + 382 = 0, -7*m = 5*p - 6*m - 392. What are the prime factors of p?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.09+-10924876\nAnswer: -10924876.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13*x + 0*x + 8*x + (-30 + 30 + 6*x)*(0 + 4 - 5))*(-3*x + 3*x - 2*x**2).\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21677 is divided by 21577?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -560\/13253521 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from {m: 3, a: 3, s: 2}?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f - 11. Suppose -4*g - 36 = -4*m, 2*g = -m - 0*m + 9. Suppose -d = -1 + m. Let u be i(d). Solve 2*a = u*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n - n + 0*n)*(-73 + 96 - 58).\nAnswer: 35*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/5)\/(442\/(-5525))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-60)*-2)\/((-4)\/(120\/1))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20810 + 21983. Calculate the highest common factor of 1887 and l.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**3\/17 + 366*b**2\/17 + 4076*b\/17 - 84960 = 0. What is b?\nAnswer: -59, 72, 170","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x**3 + 4*x**2 + 10*x - 4. Let u be m(7). Let b = u - -439. Solve k + 2*y + y - 9 = 0, b = 2*k + 5*y for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24\/504*(-6 - 0)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1741 by 203.\nAnswer: -1741\/203","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, f: 9}. Give prob of sequence ww.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/16 + 5\/(-60)*-175107. Let l be (-2)\/15 + n\/1440. Which is the third smallest value? (a) 0 (b) -4 (c) 0.2 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*u**2 + 3*u**4 - 12*u**2 + u**4 + 7*u**2 wrt u.\nAnswer: 96*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 24 = 3*m. Sort m, 3, -4, -2.\nAnswer: -4, m, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18\/(-1869)*-7*9\/(-81)*3.\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000249281 to seven dps.\nAnswer: 0.0000249","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/5 + (-4)\/(-10). Let a(s) = -13*s + 65. Let g(p) = 2*p - 1. Let r(u) = a(u) + 3*g(u). Is r(b) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 3:13 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10*f**2*z**2 + 898411*f**2 + 17529*f*z**3 wrt z?\nAnswer: 20*f**2*z + 52587*f*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 + k**2 + 2*k. Let i be g(2). Suppose 10*b - 6*b - 4 = i. Let y(r) = 5*r**2 - r. Let f be y(b). Solve 0 = 4*u - 0*u - 5*j + 17, f*j = 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -352*g + 14 = -345*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 264\/297 - (2 - 184\/36)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2005 - -12659. What is the thousands digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + x - 2)*(13*x**2 + x**2 + 27*x**2).\nAnswer: 41*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 0)*((-2)\/19)\/(-2). Suppose 0 = 2*w - 2, -5*u + w = -0*u + 16. Which is the second biggest value? (a) n (b) u (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -179\/27 + 18239\/108. Let f = 163 - n. What is the third smallest value in -1, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*i = -33. Let r(j) = -1 + 4*j - i*j - 2*j. Suppose -2*g - 2*w + 8 = 0, -28 = 3*g - 3*w - 10. Determine r(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v**3 - 5*v**2 + 5*v. Let l(x) = -7*x**3 - 4*x**2 + 6*x. Determine -5*l(q) + 4*w(q).\nAnswer: 3*q**3 - 10*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 11 + 3 + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 + 7*j - 2. Let u be a(6). Suppose -3*v - 26 = -5*y, -5*v = u*y - 4 - 2. Solve 3*i - y*r = 7*i - 40, 5*r = 4*i + 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 1:29 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 - 146*z + 378965. Calculate f(547).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 396480 = -58*d. Does 27 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*x + 2*g, 41*g + 5 = 3*x + 36*g. Solve -x*l = -13*l + 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/18 + 474\/(-297). Let g = 23\/66 - o. Is g bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 - -8. Let n = i - 14. Let p(l) = l**2 + l - 1. Let t be p(1). Sort -4, n, t in increasing order.\nAnswer: -4, t, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1796 = -5*y - 2*d, 0 = -3*y + y - 5*d - 710. Let o = 218 + y. Let a = -89 - o. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1. Let w(a) = -a + 9. Let n(k) = 22*v(k) - 2*w(k). Let l(p) = 2*p + 3. Let f(j) = -4*l(j) + 3*n(j). Let i(d) = -2*d - 7. Determine i(f(x)).\nAnswer: 4*x - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 4*v**2 - 4*v - 2. Let f be x(-3). Let r(n) = -6 - 5*n + f + 2. Calculate r(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19\/4 of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2274 - 280 = 92*n - 627 - 323 for n.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8.672 and -14.1758.\nAnswer: -22.8478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 4*t = -166, 42*f - 5*t - 293 = 39*f. What is the nearest to 1 in -0.2, -4, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 261522 and 145.\nAnswer: 1307610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -560) + (3 - 0). Let y = s - 358. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13.5 - 13. What is the second smallest value in -1, p, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1064 by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 2*m + 13*m**2 - 5302951 + 5302951.\nAnswer: 13*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:18 AM and 6:50 AM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (6\/24*0)\/3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*h - 68 = 43*h + 23 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12024, -12001, -11936, -11805, -11584, -11249, -10776, -10141?\nAnswer: -9320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 295, -2, 2, -3, 10 in decreasing order.\nAnswer: 295, 10, 2, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3528*s = -227*s - 42833 - 204121 + 19185 for s.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34340 divided by 17.\nAnswer: 2020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 9\/266444 and 83\/40644.\nAnswer: 2397996","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 1486*f**2 + 0 + 74*f**2 + 2092*f**2.\nAnswer: 3652*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = 2*u + 12. Let i = 4 - u. What is the units digit of i*(365\/(-25) - -3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*f - 6 = 0. Suppose g - 26 = 4*a, -f*g - 54 = -3*a - 177. Is 23 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179 a factor of 16970941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69 = 47*h - 44*h. Let x(c) = -c**2 - 26*c - 69. Let a be x(h). Solve 4*l - 3 + 7 = a for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119561 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 4*d + 1. Let r be 2\/(-9) + 5\/(45\/677). Let k = r - 68. Suppose -3*j - 5*a = k, a - 39 = -4*j + 4*a. Determine z(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 2 q, and 1 i when four letters picked without replacement from qmmmitqqmqiim.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -172.682 - -4.\nAnswer: -168.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2871\/4 + -718. What is the closest to h in -4\/7, 1, -2\/201?\nAnswer: -2\/201","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 54*t**2 - 28*t - 4. Let y = -47 + 43. Let f(v) = 54*v**2 - 27*v - 5. Let g(a) = y*f(a) + 3*o(a). Suppose g(b) = 0. Calculate b.\nAnswer: -2\/9, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -4c667c?\nAnswer: 4c667d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d - 5*p + 15 = -10*d, -3*d - 4*p + 19 = 0. Solve d*s + 7 = -2*g, 0*s - 2*s = 5*g - 14 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1374\/7 - 196. Let h = -2\/3 - -28\/33. What is the third biggest value in -0.2, r, h?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -4*w**3 - 9*w**2 - 79*w - 157. Give m(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*g**2*k*m - 4*g**2*k - 2*g**2*m + 102*g*m wrt k?\nAnswer: -2*g**2*m - 4*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 4*x + 10. Let q(i) = -i**3 + 4*i**2 - 3*i + 2. Let f be q(x). Let g be 2 + f*1\/(-2). Solve g = 4*l - 3*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*q**3 + q**2 - 241 - 220 - q**2 + 337.\nAnswer: 127*q**3 - 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23*i**2 + 8*i**2 + 5*i**2.\nAnswer: 36*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 111\/10738 and -41\/4.\nAnswer: 21476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 71 - 64 - 71 + 270 + 2*k.\nAnswer: 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -41860 divided by -312?\nAnswer: 805\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 7, c: 2, i: 7}. What is prob of picking 3 i?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-8)\/18 + (-186)\/(-54))\/(3\/5). Suppose 0 = -4*l + 5*l - 12. Solve 8 + l = a*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -8*p**3 + 4*p**2 - 631. Let k(x) = -17*x**3 + 9*x**2 - 1345. Calculate 9*f(t) - 4*k(t).\nAnswer: -4*t**3 - 299","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34 + 33.74. Let v = d + 0.06. Which is the second biggest value? (a) v (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 k, and 1 m when three letters picked without replacement from {q: 2, e: 1, m: 4, k: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5534989 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-12) - (-11)\/33. Let n = 0.426 - 2.426. Sort 1, n, s in ascending order.\nAnswer: n, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4260 is divided by 361.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c = -14*c + 30. Let z be (1 - 3)*1 + c. What is the units digit of (94 - 4) + z + -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (32*p + 23*p - 27*p)*(-128*p**2 - 2470 + 2470) as v + q*p**2 + c*p**3 + z*p and give c.\nAnswer: -3584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -a5 (base 14) to base 8\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -17*l**2 + 4*l - 5. Let x(a) = 9*a**2 - 2*a + 3. Determine 4*j(z) + 7*x(z).\nAnswer: -5*z**2 + 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, r: 2, w: 4, n: 1, u: 1}. Give prob of picking 2 w.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04578 + 0.04573343. What is n rounded to six dps?\nAnswer: -0.000047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-2)*2\/(-4). Suppose 0*u + 4*u + 3*g = 5, 3*g + 3 = 0. Let m be 0\/u + 2 + -6. Sort l, 2, m in descending order.\nAnswer: 2, l, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, i: 3, t: 4}. Give prob of sequence ttt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*g**6 - 840*g**3 - g**2 + 476*g.\nAnswer: 600*g**3 - 5040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x\/(x**0*x)))**(-27\/4))**47 assuming x is positive.\nAnswer: x**(-1269\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3627 + -3626. Let h = 2.7 - 1.7. Let k = -0.05 + 3.05. Which is the closest to j? (a) k (b) h (c) 7\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 135, 6, -4\/7, -4\/3 in ascending order.\nAnswer: -4\/3, -4\/7, 6, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -5*x**3. Let j(w) = w - 3. Let d = 3 + 1. Let o be j(d). Let q = o - 0. Determine c(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63804 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90.01257 decades to months.\nAnswer: 10801.5084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97 - 96. Let k be ((-2)\/(-4)*(-2 + 2))\/(-1). Let a = -3 + 6. What is the closest to c in 1.2, k, a?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -101431, -93484, -80239, -61696, -37855, -8716, 25721?\n\"Answer: 2649*q**2 - 104080","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8581984 + 5018016. What is g rounded to the nearest 1000000?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -6517845?\nAnswer: 11\/6517845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*6 - 54\/12.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 9*u**2 + 7*u. Let q(w) = w**3 - 15*w**2 + 13*w + 24. Let j be q(14). What are the prime factors of v(j)?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.14205623009972 and -0.01.\nAnswer: 0.13205623009972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the third derivative of -3*d**7\/14 - 163*d**6\/12 - 123*d**5\/4 + 235*d**4\/2 + 350*d**3\/3 - 934*d**2. Find x, given that o(x) = 0.\nAnswer: -35, -2, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 226995\/22 + -10313. What is the common denominator of (-728)\/(-16)*2\/(-2) and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 948*x + 12297. Calculate w(-13).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 6, -0.5, -3821, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-8)\/2*735\/980.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 + 33*v**2 + 19*v - 48. Let f be p(17). Suppose -5*i + 1 = 2*c + 15, 0 = c - 3. Sort i, f, -5 in descending order.\nAnswer: i, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -3*f**3 + 3*f**2 + 13*f + 7. Let g(z) = -z**3 + 4*z - 2. Let j(k) = 2*g(k) - p(k). Let d(q) = q**3 - 4*q**2 - 6*q - 12. Give -5*d(r) + 6*j(r).\nAnswer: r**3 + 2*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 t when four letters picked without replacement from {e: 5, j: 2, z: 1, t: 8, p: 2, w: 2}?\nAnswer: 112\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69, -84, -117, -180, -285, -444, -669, -972?\nAnswer: -1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*x - 9*x = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.476 + -0.02.\nAnswer: -0.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 109136\/15 + -7271. Calculate the common denominator of 0 + 2 + 53\/8 and c.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 = -3*c + c - m, -2*m = 5*c - 787. Suppose -2*a = -5*a + c. Suppose 34 = q - a. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -428344682*o*r**3 + 4*o*r + 30607237*r wrt r?\nAnswer: -2570068092*o*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 121, 244, 371, 502, 637, 776?\nAnswer: 919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244638 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3560321?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnqqezlehqn. Give prob of sequence qe.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*v - 234*a - 743*v + 2 with respect to v.\nAnswer: a - 743","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11\/9, 0.1, 1, -451 in decreasing order.\nAnswer: 1, 0.1, -11\/9, -451","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h**0*h))**(-32)\/((h\/(h**(1\/2)\/h))\/h)**(-16) assuming h is positive.\nAnswer: h**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/4 - 15599*v - 8289240.\nAnswer: -(v + 536)*(v + 61860)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/(x**15\/x*x))\/(x**(-1\/6)*x))**(-44) assuming x is positive.\nAnswer: x**(1958\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 9475*t + 246350. Give r(-26).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.13 + -1.1301.\nAnswer: -1.0001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v - 4. Let o be -2 - -3 - 3 - 4. Let k be d(o). Solve 4*l + 0*p = -3*p - 13, 12 = -k*l + 4*p for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -99657 - -2316.5?\nAnswer: -97340.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/(-9) - (-661)\/(-6). Let g = p + 112. Let x = 79 + -77. Which is the nearest to -2\/5? (a) x (b) -3\/2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - x**2 - x - 1. Let p(k) = 53*k**3 - 16*k**2 + 2*k + 2. Let v(z) = p(z) + 2*u(z). Find the third derivative of v(j) wrt j.\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 117. Let q(t) = 3*t + 189. Let y(a) = -8*h(a) - 5*q(a). Determine y(0).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5 + 20. Suppose g*o - 4*h + 157 = 0, 3 = -3*h - 3. Let i = o - -90. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*v**4 - 536*v**3 + 2646*v**2 - 4216*v + 2104 = 0. Calculate v.\nAnswer: 1, 2, 263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (29 + -32)*(0 + -1). Sort y, 5, -1, 25 in decreasing order.\nAnswer: 25, 5, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 1230120231101?\nAnswer: 1230120231032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + -1110100?\nAnswer: -1111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -67 + -1515?\nAnswer: -1580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 172 - 178. Let i(z) = -7*z. Let y(w) = 8*w. Let l(m) = p*i(m) - 5*y(m). Let u(f) be the second derivative of -19*f**3\/6 + 2*f. Give l(u(x)).\nAnswer: -38*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1116 + 1111 - (-9 + (-2 - -3)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f - 6*f + 2. Let y(a) = a**2 + 5*a + 14. Let v be y(6). Suppose -m = 3*m - v. What is the highest common factor of f and m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -5*n + 4*a, -2*n + 3*a - 2 = -23 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -5595234*i + 1155989 wrt i?\nAnswer: -5595234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/36 and 37\/370495732?\nAnswer: 3334461588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2 + 4*o + 8. Let f(c) = c**2 + c. Let y(t) = -4*f(t) + i(t). Let r(b) be the first derivative of y(b). Let g(m) = -54*m**2. Calculate g(r(q)).\nAnswer: -216*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15332321211 - -12?\nAnswer: 15332321223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 9, z: 3, s: 1, k: 6}. What is prob of picking 1 k and 1 z?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3788 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 5*d - 100, 4*d - u - 95 = -0*u. What is the least common multiple of 1 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 5*l - 6. Let i be c(2). Solve -2*f + 12 = i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 149694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-24))\/(2\/(-72))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 3 = 15. Let t be a\/6*6\/1. Let v be t\/(-10) - 51\/15. Which is smaller: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 192662404?\nAnswer: 2, 11, 37, 118343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 1096 = 1640. Calculate the highest common divisor of 54 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1803 and 21851158.\nAnswer: 65553474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.1, -1.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*c + 9. Suppose -2*s + c*s - 391 = -n, -1895 = -5*n + 2*s. Suppose -5*h = -164 - n. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqawgmw. What is prob of sequence awv?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 353889 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l**3 - l**3 + 2*l**3)*(2*l + 4 - 4)*(154 - 12 + 69).\nAnswer: -422*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2717*s**3 - 1391*s**2 + 2786*s**2 - 2723*s**3 - 1395*s**2.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18*(-8)\/456*1\/3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42813 + 75080. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 - 4 - 56267023\/(-1906). Let o = a + -29522. Let d = o + -50503\/3812. Calculate the common denominator of d and 75\/16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2301 + 33432221?\nAnswer: 33424420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48 - 122?\nAnswer: -16a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-72)\/324*(21\/7)\/9\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 9*q - 70. Give s(-9).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -365, -373, -385, -401, -421, -445?\n\"Answer: -2*q**2 - 2*q - 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1140151239?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 10. Suppose i + 3*b + b = -r, -5*i = -b - 16. Suppose 38 - 13 = 5*y - 5*o, -3*y = -2*o - 15. What is the lowest common multiple of i and y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 139 divided by -425\nAnswer: -139\/425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**5\/140 - 3*b**4\/14 - 32*b**3\/7 + 1161*b**2. Suppose z(d) = 0. What is d?\nAnswer: -4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(((o**15\/o)\/o)\/o)*o*o**(-1\/3))\/(o**(-10)\/o**(3\/4)) assuming o is positive.\nAnswer: o**(5\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -k - 36. Let z = k - -67. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -4. Let y be (2\/10)\/(1 - 2). Which is the nearest to -1? (a) 2 (b) p (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 195361?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27 = -2*r - 27 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z + 1. Let g(i) = -2*i**2 + i. Let k be g(1). Let m be u(k). List the prime factors of (3 + -6)*(-3 - m).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = f + f. Suppose 10*t - f*t = 75. What is the highest common divisor of 60 and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3828825 rounded to the nearest ten thousand?\nAnswer: -3830000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b + 2. Let y(n) = -4 - 2*n - 2 + 1 + 5*n. What is -15*i(z) - 6*y(z)?\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21268 + -18247949\/858. Calculate the common denominator of -109\/1320 and j.\nAnswer: 17160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47955297 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38\/35 - 4\/5. Is -174 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, w: 2, e: 5}. What is prob of picking 1 w, 1 e, and 1 s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 12\/(-15)*(-25)\/10. Suppose c = -h - 14. Let f = -9 - h. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is da (base 14) in base 2?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -179 - -606. Does 27 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 3, -4, 1, -0.4, 32?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oiuu when four letters picked without replacement from {o: 4, i: 2, u: 4, h: 10}.\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -112827*x - 1. Let t(f) = 8*f. What is t(l(h))?\nAnswer: -902616*h - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506 - 482 = 4*a for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 42223*d**2 + 14*d + 35. Let m be v(-15). What is m rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 12*s - 15. What is the tens digit of u(-12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from {m: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 17376 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1229c (base 13) to base 16\nAnswer: -828e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2. Let n(a) be the second derivative of -5*a**3\/6 - a + 5. What is n(p(k))?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 2*r**3 + 3*r**3)*(-2 - 1 + 1) + 2*r**3 - 4*r**3 + 3*r**3 + (-4*r - 4 + 4)*(r - r + 4*r**2).\nAnswer: -17*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 32.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**4*y**3 + j**3*y**3 - 13*j**3 + 2*j*y**2 - 25*j*y - y**3 wrt j.\nAnswer: 12*j**2*y**3 + 6*j*y**3 - 78*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2157160 * 7.3\nAnswer: -15747268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -59, -77, -95?\n\"Answer: -18*n - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(4\/27)*l**1)**26 assuming l is positive.\nAnswer: l**(806\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 784 + 2*i**3 - 7*i**2 - 119*i - 784 + 8*i**2 to o + r*i**2 + l*i + b*i**3 and give l.\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 192 = 4*f - 264. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2170 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: List the prime factors of 1492.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1879753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20670 and 7982754.\nAnswer: 4134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 4 + 7*q - 4. Let h be p(7). Suppose 3 + h = v. Solve -2*c = -5*l - 4, v*c = 4*c - l + 1 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -310*t - 3472*t + 530*t = 1658*t + 299510 for t.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -19*l**3 - 7*l - 6. Calculate h(-2).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -9*r**3 - 30*r**2 - 3*r + 22. Let q(x) = -72*x**3 - 240*x**2 - 24*x + 177. Let j(p) = 33*g(p) - 4*q(p). Solve j(o) = 0 for o.\nAnswer: -3, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.451 (b) -2\/5 (c) -123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*a = 83*a + 16340000. Let r be 4\/6*(2 + 4). Suppose t + a = 2*s, -3440000 = r*t - 2*s + 3*s. Round t to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -261648286*a**3 - 69740471*a?\nAnswer: -1569889716*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110 - 0?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10608909 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q. Let a(t) be the first derivative of -47 - 14*t + 14 - 20 - 3*t**2 - 65 + 6*t. Give d(a(g)).\nAnswer: 12*g + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 1, -0.8, 12\/7?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 470 + -3773\/8. Let w be (8 + 118)*(42\/(-9))\/(-7). Find the common denominator of t and (11 + (-894)\/w)*107\/(-5).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 23 - 3341078?\nAnswer: -3341055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -105*n + 314*n + 788*n.\nAnswer: 997*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum 9.487 and 0.1.\nAnswer: 9.587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -11*c - 4. Give f(-3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3440 + 3528. Calculate the remainder when 967 is divided by l.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 5*m - 27 = 4, 3*a + 5*m = 54. Suppose 0 = -19*k + a*k - 164. Find the common denominator of k and -5\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 586612 (base 9) to base 12\nAnswer: 150078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, i: 12}. Give prob of picking 3 v.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 9 - 2*g**2 - 9*g - 35 + 8 + g + 14. Let n = -354 - -348. Calculate a(n).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 4*y + 9. Solve -4*v + 8 = y*o, 2*v + 3 = -2*o + 5 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/(-5))\/(2\/(-15)). Let o be (1\/(-2))\/(1\/g). Let z(u) = u**2 + u. Let i be z(1). Is o greater than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38806144381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-20 + 22)\/(2\/13). Let w be (12 + -1 - b)*1\/12. What is the second smallest value in w, 1\/4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -30635703503243 and 1.\nAnswer: -30635703503242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.9 (b) 0.36 (c) -0.03 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/2*(6\/(-15) - 0). Let o be 72*5\/10*-1. Let g be 306\/o*(0 - 8\/v). What is the greatest common factor of 102 and g?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 147436 = 2*f, 5*l - 159 + 204 = 0. List the prime factors of f.\nAnswer: 2, 5, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 0 - 2. Let z = 4 + d. Is z a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*n + 3 = 0, 4*s + 2*n = 379 - 383 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 1918*w. Let s(v) = 5*v**2. What is s(m(z))?\nAnswer: 18393620*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -11*u**3 - 9*u**2 + 2*u + 14. Give m(-4).\nAnswer: 566","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 252 = 4*j, 22*j - 1324 = -5*v + 18*j. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 0 - -2) + -3 + -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7 - -7. Suppose q = -2*y + 4*y - 24. Suppose y = 4*a - 0*a. Solve 5*k - 5*c = 35, -2*c - 13 = -a*k - 3*c for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -85 - 6*b - 8*b + 85 + (1 - 5 + 2)*(2*b - 3 + 3) - 3*b - 2*b + 3*b.\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 - 3*w. Let l(i) = -i**2 - i. Let z(h) = 3*l(h) - o(h). Let p(s) = 0*s - 2*s + s. What is z(p(g))?\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84759 is divided by 831?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*z + 5*z. Let y = 6 + z. Suppose -8 = -2*u, 4*u - 14 = y*v + 2. Sort v, 5, 0.8 in increasing order.\nAnswer: v, 0.8, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 divided by -6680457.\nAnswer: -16\/6680457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -2.7. Let g be ((-2)\/3)\/((-369)\/(-27) + -11). Which is the third smallest value? (a) g (b) y (c) 0.3 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/(-6))\/((-2)\/(-6)). Suppose y = 3*q + 9105, 3*q + 9114 = b*y - 3*y. Let o = 8134 + q. What is o rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 738314 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1520 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: Which is the closest to -10\/7? (a) 50\/9 (b) 0 (c) 1 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146*c - 29*c - 5501 = -943 - 358 for c.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2999*i - 6. Suppose 23 = 3*p + 8. Suppose -2*n = p*g - 2, 5*n + 0*n - 3*g = 36. Let y be j(n). What is y rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2278 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15283 or -15278?\nAnswer: -15278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 - (-20)\/(-4)*1. Solve 5*w = b + 13, t = 3*b - 8*b + 2*w - 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 94 + -199. Suppose -7*o + 312 = -3*b - 4*o, -3*b - 337 = 2*o. Let l = z - b. Solve 0 = -c - l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 e when two letters picked without replacement from {q: 2, c: 1, e: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101000000000100000110000 (base 2) to base 3.\nAnswer: 201201211122010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wzxpxxzwxhxwz. What is prob of picking 1 h and 2 x?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.99 + -0.71. Let u = k - 1. Round u to 0 decimal places.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1533240 to the nearest 1000.\nAnswer: -1533000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/(-1)*5\/(-20) - 5. What is the closest to -0.2 in q, 4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u - 2*u + 3*u. Let f(o) = -8*o + 46*o - 12*o + 11*o + 24*o. Calculate l(f(a)).\nAnswer: -61*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 - 3*f**2 - 6*f + 8. What is w(5)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5648 and 2.\nAnswer: 5648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*f - 66*f + 39 - 11 - 56*f - 17.\nAnswer: -85*f + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*v**4*x - 1966*v**3*x**3 + 1127*v*x**2 + 13*x**3 wrt v.\nAnswer: 72*v**2*x - 11796*v*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.39766 - 6.39766. Let g = 0.9 - 0.5. What is the closest to -1 in u, g, -2\/5, 0.2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1505 - 40?\nAnswer: 1435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 < 96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 1. Let k be u(4). Let a = -18 + -3. Let h = 17 + a. Put -3, k, h in ascending order.\nAnswer: k, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4\/9 (b) 0.4 (c) 26\/7 (d) -0.5 (e) -4 (f) 3\/167 (g) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 245, 247, 249, 251?\n\"Answer: 2*f + 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.65 - -0.19. Let f = 0.36 + m. Let j = f + -6.2000031. What is j rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o = 3*o. Suppose 0 = 2*w - o*w - 4*d + 65892, 0 = -2*w + 5*d - 65894. Let h = w - -46742. What is h rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ioioovidvooiovopovop. What is prob of sequence vo?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01657559135 rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -11376*z**2 - 113772*z - 134. Give k(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -1\/7, -23, 16\/5?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 0*z - 11*z + 9*z - 20, -2*y = 2*z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 3*q - 12 = 0, -q + 2*q - 1 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/91 (b) 2 (c) 9\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -38*y**7\/7 + 7*y**5\/60 - 37*y**3\/6 + 778*y**2. Find the third derivative of u(d) wrt d.\nAnswer: -27360*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 14*r + 2. Calculate o(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -173*j**2\/2 + 4*j + 65. Does 14 divide v(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -1\/3*b**4 - 8\/3*b + 8\/3*b**2 + 2\/15*b**5 - 2\/3*b**3 - 12. Factor n(l).\nAnswer: 2*(l - 2)*(l - 1)**2*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.101? (a) -5\/3 (b) 0.4 (c) -31 (d) 4 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**2 + 54*i**2 - 20*i**2 to p*i + q + j*i**2 and give j.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k - 8. Let i be t(-6). Let r(f) = -f + 25 - 12 - 12 - f. Calculate r(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -4*v - 3, -5 = 2*t + 5*v. Suppose t = 4*m + m + 35. Let g(u) = 0*u**3 + 15*u**2 + 2*u**3 + 3 + 8*u**2 - 30*u**2 - 3*u**3. What is g(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 133 + -136. Let r be (3\/2)\/(t\/(-106)). What is the third derivative of 31*n**2 + r*n**4 + 13*n**2 - 6*n**4 - 10*n**2 wrt n?\nAnswer: 1128*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of -2073*k**4\/4 - 130*k**3 + 2240. What is the third derivative of u(h) wrt h?\nAnswer: -12438","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.107686513 rounded to 3 dps?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 80 - 149. Let r = -52 - j. Let f(u) = u - 1. Calculate the remainder when r is divided by f(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 85?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*a - 38 = -118 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12\/17 - 2\/51. Which is the nearest to i? (a) 23 (b) 3\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-2 - 1) - -7377. Suppose t = -2*f - 272621. Round f to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 897?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5427528 (base 10) to base 7.\nAnswer: 64063461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -b**3 - 2*b**3 + b**3 + (3091*b**3 + 994*b**3 + 320*b**3)*(-2 + 0 + 3) to the form d*b**2 + l*b + h + n*b**3 and give n.\nAnswer: 4403","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -27119 (base 16) in base 14?\nAnswer: -42465","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 607?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 36*c - 73. Let n be l(-38). Suppose n*m = -18*m + 13020. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**6*h)\/h**(1\/9))\/(h**(-1\/6)*h*h*h**4) assuming h is positive.\nAnswer: h**(-161\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8585021+-1.9349347\nAnswer: 8585019.0650653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -227*m**2*w + 11*m*w + 2*w + 36 wrt m.\nAnswer: -454*m*w + 11*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -507 = -2*w + y, -w + 14 + 217 = 4*y. Suppose -1252 = -11*b - w. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6777, -6738, -6699?\nAnswer: -6660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1077 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/5, -4\/27, -3\/7, -6?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddodhododddod. What is prob of picking 1 d and 1 o?\nAnswer: 16\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - n**2 + 1. Let y(p) be the second derivative of p**4\/12 + p**3\/6 - p**2\/2 + 15*p. Give -2*l(t) - 2*y(t).\nAnswer: 2*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*a + a = -148499967, 2*a = -3*r + 445499929. Suppose -5*f = b - 6*b + r, -3*f - 5*b = 89100025. Round f to the nearest one million.\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w - 51 = 5*w. Suppose 3*n + 5 = w. Find the third derivative of -c**n + c**2 + 9*c - 9*c wrt c.\nAnswer: -24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 12*k**2 + 13*k + 12. Let y be h(-13). Solve a = -8*t + y*t - 11, 4*a = -5*t - 2 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -14177 - -14172. Let m(o) = o - 5. Let h be m(4). Sort h, l, 1 in increasing order.\nAnswer: l, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 0. Suppose -4*i + 21 = p. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6\/25, 2, -2\/7, 5, -25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*x**2 + 79*x**2 + 82*x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -68889, -68923, -68981, -69063, -69169, -69299?\n\"Answer: -12*n**2 + 2*n - 68879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4*w + 100 = 0, 4*w - 3*w = -3*a + 326. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 143 = -44. Let f = i - 30. Does 3 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004197 to three dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 273 and 460005?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 2 = -2*z, 40*z = 43*z + 3*q + 3 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 27 - u - 27. Let g(b) = 0 + 0 - 4*b. What is g(q(t))?\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -109*w**2 - 2356. Let p(i) = -6*i. Give r(p(s)).\nAnswer: -3924*s**2 - 2356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002616 to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 45 = 2*c, -c = 2*l + c - 18. Suppose 4*f - 37 = -l. Solve 5*x - 3 = f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374*d = -449*d + 3300. What is the remainder when 4487 is divided by d?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 2 = 2*s, 14 = 2*s - 566*d + 571*d for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 2*b + 2*f + 7 = 0, 5*f = -b + 15 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338, 723, 1138, 1589, 2082, 2623, 3218?\nAnswer: 3873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/5718 - 155819\/20013. What is the common denominator of (872\/(-48))\/(20\/6) and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 103332223?\nAnswer: 103332232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17 - 64*p - 389*p**2 + 17 + 445*p**2 + 591*p**2 wrt p?\nAnswer: 1294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/7? (a) 4\/19 (b) -0.05 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f**3 + 92*f**2 + 640*f + 1344 = 0.\nAnswer: -12, -7, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -1, 61, 3442, 4 in descending order.\nAnswer: 3442, 61, 4, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(65)*1 + sqrt(65))*5 - sqrt(65)) + sqrt(65))\/(sqrt(55)\/(sqrt(11)*-2)))**2 - ((sqrt(208)\/sqrt(8))\/sqrt(2) + (2 + sqrt(13) + 4*sqrt(13))**2).\nAnswer: -21*sqrt(13) + 4871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -291*j**2 + 0 - 293*j**2 + 576*j**2 - 1. Let y(f) = -18*f. Determine b(y(g)).\nAnswer: -2592*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 10*x + 9. Suppose x*y + 3*f + 4733 = y, -5*y + f = -23693. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2)*z*z**(-3))**(-1\/51)\/(z*z**(3\/7)\/z*z**(-1))**(-23) assuming z is positive.\nAnswer: z**(-4664\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s. Let t(m) = 936182 - 936182 - 88*m**2. What is h(t(n))?\nAnswer: -176*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 101 - 175. Let h = m + -51. What is the highest common divisor of h and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 23\/(0 + 1) - (-387)\/(-129). Calculate the greatest common divisor of 230 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 250 = 4*x. What is the remainder when 5\/(x\/(-36))*5 is divided by ((-30)\/(-8))\/(66\/176)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.33778.\nAnswer: 1.01334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 212 a factor of 98676628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 - 36. What is the highest common factor of w and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18302)\/((44\/88)\/((-9)\/12)).\nAnswer: 3, 9151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -17118.086 to the nearest 1000.\nAnswer: -17000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 450277 to the nearest integer?\nAnswer: 671","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -0*c - 4*d - 16, -3*c + d + 6 = 0. Let k = 16 + -8. Let a = k + -5. What is the nearest to c in a, -3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 10:42 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11 + -35.30136?\nAnswer: -35.19136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35297*j**4*o - 30*j*o - 20*j wrt j.\nAnswer: -423564*j**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22924 and 36366?\nAnswer: 37893372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30144 - -24021?\nAnswer: 104220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 5) in base 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -16383*u - 1736. Does 214 divide d(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*f - 116, 1 + 2 = 3*f. Suppose 2*p + 4*n - 12 = 0, 4*p + p - 5*n = d. Let s = -29 - -56. What is the remainder when s is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6 (b) 1\/2 (c) 1\/5 (d) -107 (e) -4 (f) 2\/547 (g) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 + 0 + 2)*(3 - 36 - 26)*(-2*r + r - 5 + 3) in the form f + j*r and give f.\nAnswer: -590","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3*827\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 20*b**2 + 19*b - 41. List the prime factors of g(-17).\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2263106015.\nAnswer: 5, 643, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -476, -48, -55 in increasing order.\nAnswer: -476, -55, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 0*d - 43 = -d, -4*d + 4 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5 + -2 + (0 + 5*(sqrt(99) + 1) + sqrt(99))*-5)**2.\nAnswer: 5400*sqrt(11) + 90000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5274273 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - t + 3 = 7*s, 4*s = -3*t + 5. Suppose -4*g = -2*g - 48. Suppose -4*c - g = -u, s*u - 6*c + c - 39 = 0. Is u a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 10:24 PM?\nAnswer: 6:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 90*p**2 + 17*p + 1. Let b(c) = -c. Determine g(b(j)).\nAnswer: 90*j**2 - 17*j + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from {u: 3, f: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*w + 4*u + 29, -76*u - 7 = -3*w - 74*u. Solve -4*p + 11 = -5*m, -m = w*m + 5*p - 26 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1849, 4, -0.2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i - 1 + i**2 + 1)*(157 - 157 - 21*i) to x*i**3 + k*i**2 + y*i + q and give x.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*s**3 + 4882*s - 4882*s - 4*s**5 + (-s**5 - s**5 + s**5)*(-3 + 0 + 1) + s**2 - s**3 + s**3 - s**5 + (3*s**5 - 3*s**5 + s**5)*(3 - 1 - 4).\nAnswer: -5*s**5 - 28*s**3 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 3*o - 49. Let d be b(16). Let s be (7\/4)\/((1\/d)\/(-8)). Solve -m + 3*n - 4 = 4, -m = -5*n + s for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -5*j + 6*j - 7 + 12*j + 0. Let q(h) = 12*h - 8. Let r(n) = -3*d(n) + 4*q(n). What is the first derivative of r(o) wrt o?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 133, -5, -2, 1384, -1, -6 in ascending order.\nAnswer: -6, -5, -2, -1, 1, 133, 1384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*b = 741 - 912 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 0.33\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a - 8 = 0, 5*c + 20 = -5*a. Let f be 1 + 16199997\/(c\/(-2)). Suppose -2*u - f = u. Round u to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m = 5*z - 18, 20*z - 23*z + 21 = 15*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 31204 + -1?\nAnswer: 31203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1, 3, -5, 4 in ascending order.\nAnswer: -5, -1, 1, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 2*y + 1. Let q(g) = 8*g**2 - 8*g. Let b(u) = -q(u) + 6*s(u). What is b(-5)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 22*h**2 + 5. Let q = -195 + 173. Let v be t(q). Solve -g = -0*g + 4*l + 13, 0 = -3*g + 5*l - v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 37*u + 32. Let s(g) = -19*g - 16. Let h(b) = -3*n(b) - 7*s(b). Let z be h(5). What is the greatest common factor of 84 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3718 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -3*j**2 - 4*j - 1. Let w be o(3). Let a be (-34)\/w - 11\/44. Let x = 0.01 - 1.01. Put a, x, 0.1 in increasing order.\nAnswer: x, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/2 of a milligram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4329320\/99 - -43731. Calculate the common denominator of m and -22\/39.\nAnswer: 1287","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -143 minus 3?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 128*g**2 + 310*g + 4594. Give x(-130).\nAnswer: -1906","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 565226, 1130482, 1695738?\n\"Answer: 565256*r - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 39*p + 83. Let v be k(7). Suppose c = -r - c + v, 3*r = -4*c + 1076. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2410527 * -20\nAnswer: 48210540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 2072273.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1534004 (base 6) to base 2.\nAnswer: -10110000010110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**2 - 3*t - 7. Let p be v(5). Suppose 0 = p*b - 4*b. Let j be (9\/(-6))\/(-3)*0. Solve -x + j*x + 5 = b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2 + 7. Let i(t) = -1019*t**3 + 22*t**2 + 5563*t + 42. Let n(r) = i(r) - 6*z(r). Find the second derivative of n(f) wrt f.\nAnswer: -6114*f + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -1.6\nAnswer: -6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 10:58 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/312*3*76*134\/(-268).\nAnswer: -19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -30208 and 0.05.\nAnswer: -30207.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5970d5 (base 15) in base 9?\nAnswer: -8037012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 10) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14\/(-28))\/(3\/(-2)). What is the closest to 0.1 in s, 2\/13, 2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617293034.\nAnswer: 2, 443, 696719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 3:03 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(77) - sqrt(77))*4)\/((sqrt(84)\/sqrt(2))\/sqrt(6)).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103100 by 7.\nAnswer: 103100\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/3, -825, -32, -1, 1 in increasing order.\nAnswer: -825, -32, -1, -1\/3, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of r**6\/120 - r**5\/15 - r**4\/24 - r**3\/2 + 8*r**2. Is 17 a factor of n(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14590 to the nearest 100.\nAnswer: -14600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**2 - w + 5. Let u be l(0). Let b = u - 2. Suppose b*q + 13 = 55. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30992096614 + 0.5.\nAnswer: -30992096613.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, i: 1}. Give prob of sequence ll.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -9, -73, -151, -249, -373, -529, -723, -961?\nAnswer: -1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -2*f - 0*f + 22, 4*f + k = 22. Let u = 1419999 - 1009999. Suppose 5*x - f*x = u. What is x rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*v - 6*v + 20*v - 40)*(-5*v - 2*v + 4*v)*(-3*v - 2*v + 4*v).\nAnswer: 12*v**3 - 120*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 - -3612?\nAnswer: 3644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 141, 0, 3, -20 in decreasing order.\nAnswer: 141, 3, 0, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 286361 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*r + 52*r - 20 = -2*u, 156*u = 2*r + 784 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*t - 151*t + 238*t - 54*t - t**2.\nAnswer: -t**2 - 141*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 14894 times -5\nAnswer: -74470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = 197*b - 2399 - 235. Suppose -3*j = -0*j - 3. Calculate the least common multiple of b and (5 - -2)\/(j\/2).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 6:58 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*n - 193211 + 193211.\nAnswer: 79*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o + 45 = 0, -6*m - 4*o - 30 = -11*m for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((104\/6)\/(-13)*9)\/(375\/(-100))?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d**4 + 116*d**3 + 3612*d**2 - 111940*d + 208568 = 0 for d.\nAnswer: -31, 2, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10830220?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 357655.0074 + -357576. Let v = -197 + 118. Let r = c + v. What is r rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 15. Let r be (2 - 0)\/2 + 2. Suppose 0 = r*m - g - 12 - 2, -m - 4*g = 17. Solve -m*n - f = -0*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 477*15608.57.\nAnswer: 7445287.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n + 5. Let p be y(7). Let z be (-70)\/(-10) + p\/1. Suppose 2*g - d + 12 = -5*d, 0 = z*g + 5*d + 10. Solve j + g = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h*h**4*h))\/h**(3\/2))**(-5) assuming h is positive.\nAnswer: h**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 19\/(950\/20) + 1\/(-5)*2. Put -39, -2, c, -5 in decreasing order.\nAnswer: c, -2, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42 and 18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 2*n - 4 = 0. Let o be ((-32)\/30)\/(-8)*3. What is the nearest to o in -0.2, 0.5, n?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 - 3. Suppose k + 8 = -m. Let j(i) = -i - 3. What are the prime factors of j(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + 2492?\nAnswer: 2488","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 304\/80 - 40\/50.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 12 = 0, 0 = 5*r - r + 4*n - 40. Suppose -r*w - 683 = 4561. Is -875 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 493.9533 millennia?\nAnswer: 493953.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 17*p. Give z(-5).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -69, -67, -67, -69, -73, -79, -87?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**6\/6 + 9*s**5\/5 + 3*s**4\/4 - 25*s**3\/3 - 9*s**2 - 432. Find o such that y(o) = 0.\nAnswer: -1, 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/9, -6, 20?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -22632 (base 14) to base 9\nAnswer: -136532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9577672um to millimeters.\nAnswer: 0.0009577672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - n = 7, 0 = -2*n + 2 - 0. What is the remainder when 95 is divided by (j\/(-6))\/(4\/(-192))?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1078 is divided by 213.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -21945 divided by 5\nAnswer: -4389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2351, -4786, -7309, -9926, -12643, -15466, -18401?\nAnswer: -21454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -271 - -637. What is the hundreds digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -311 + 305. Let a(h) = 9*h - 5. Let l(p) = -11*p + 5. Let i(x) = r*a(x) - 5*l(x). Suppose -4*n = -3*n + 5. Determine i(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**3 + 7*i**2 + 5*i + 3. Let g be o(-6). Let n = g + -20\/3. Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.455 + 1.57. Let q = h - 0.025. Let d = -0.2 + 0.14. Which is the closest to 0? (a) 3 (b) q (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -669 - -705. Calculate the smallest common multiple of c and 3.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1951 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16 + 31. Suppose h = 5*q, -3*i + 7*i - 3*q - 811 = 0. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147639 is divided by 4220?\nAnswer: 4159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o - 4*z - 10 = 3*o, -5*o = -4*z - 14. Suppose o*l - 3*v = 863, 3*l + v - 1314 = -v. What is the hundreds digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f - 2. Let n be x(-4). Let y(j) = 160*j - 1127. Let z be y(7). What is the units digit of (z - (-85)\/n)\/(6\/196)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 14.05232 millilitres?\nAnswer: 0.01405232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 937 and 74845686?\nAnswer: 937","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 22 = -2*c, 3*c - 7 = -13*t + 14*t for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3047 - -3046.99998713. Round c to 6 decimal places.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-5) - 270\/(-50). Let u(h) = h**2 - 2*h - 9. Let f be u(v). What is the highest common divisor of 4 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26 - -47. Suppose -41 = -4*i - 4*g + 35, -2*g + 21 = i. Let x = -11 + i. Calculate the remainder when d is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 51 or -7?\nAnswer: 51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 1 = 4*y, 3*z - 6*z = -5*y - 29. Let k be z\/((-1)\/3*3). Which is the second smallest value? (a) k (b) 5 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-16)\/(c**(-2\/13)*c))**(-5\/2) assuming c is positive.\nAnswer: c**(1095\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 92 + -66. Suppose 0 = 2*z - 10, -z + k = 3*c + 69. Let y = c - -38. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 48*o**2 + 5*o + 344. Determine p(-48).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1688.\nAnswer: 5064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a**4 - 8*a**4 - 7*a**4 + (a**2 - 4*a**2 + 2*a**2)*(50 - 2*a**2 - 50) as z*a + t*a**3 + b + y*a**4 + x*a**2 and give y.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 19\/152 - (-119)\/(-1848)?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/9 and 10\/59343.\nAnswer: 178029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11895?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7437 + -7445. What is the third smallest value in -2, u, 2\/5, 1\/440?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.4, -14, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**2 + m**2 - 2*m**2 + (3*m + 0*m - m)*(3*m - 2*m + 0*m) + 3225*m**2 + 3229*m**2 - 6455*m**2 - 2882.\nAnswer: -m**2 - 2882","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5b25 - -10?\nAnswer: 5b35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*g + 15*g = -216*g + 1192. Determine c, given that g*c + 12*c**3 + 0 - 4*c**4 + 1\/2*c**5 - 16*c**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 763 - 179997.\nAnswer: -179234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -7079 + 10*c**2 + 7080 - 29*c**2. What is l(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, -154.4, -1, 17 in increasing order.\nAnswer: -154.4, -32, -1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -3*t + 2*t**2 + 4*t - 3*t**2. Let g(i) be the second derivative of -i**5\/20 + i**4\/12 - i**3\/6 + i**2\/2 - i. Let v = 9 - 10. Determine v*b(l) - g(l).\nAnswer: l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 146 + 4a?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49026499?\nAnswer: 47, 1043117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is -78052752 less than 40?\nAnswer: 78052792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 21 = 5*l, -15 = -f - 4*l + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125 (base 8) to base 3.\nAnswer: 10011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a century in months?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 123348 to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 62*j + 110. Calculate h(-2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -4, 4, -3\/5, -21639 in ascending order.\nAnswer: -21639, -4, -3\/5, 2\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 113 = f + 2*f, -2*f = 4*b - 452. Suppose 0 = 4*q - 3*c - b, q - 4*c + 0*c - 38 = 0. What is the remainder when 74 is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -27*y - 165. Let k be m(-7). Suppose -5*n - 2*c + 192 = -12, 78 = 2*n - c. Calculate the highest common divisor of n and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*g - 50*g - 117*g - 1120 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of -y**3\/3 + 2*y**2 - 7*y - 1. Let t be (2\/(-16))\/(30\/(-252240)). Let j = t + -1045. Calculate c(j).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 10*w - 12*w + 2, 3 = 3*w + 3*r. Suppose -2*i = -3*g + w + 6, -4*i + 4 = 0. Which is the third biggest value? (a) 4 (b) g (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 10 - 63 = 3*d, 3*n + 25 = 5*d. Let m be n\/(-3)*(-6)\/(-4). Suppose -22 = -m*t + 58. Solve 0*l - t = 4*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*h = -466, 2*n - 6*n - 4*h + 480 = 0. Calculate the remainder when n is divided by 99.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 5*r**2 + 2*r - 1. Let q be v(1). Let n be 15*3*q\/18. Solve -3*m = p - 11, 5*m + 4*p + p = n for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652867561 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/4949760 and -127\/149730240?\nAnswer: 598920960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o**2 - 2*o + 2. Let a be f(2). Suppose 0*s + s + 3*w - 75 = 0, 3*s - 221 = -5*w. Let g = a + s. Calculate the remainder when g is divided by 21.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyy when three letters picked without replacement from yyyyy?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u + 2*u - 3*u - 3. Let d be f(8). Suppose -x - 2 = -3*z, 0 = -3*x - 4*z + 30 - 10. Solve d = -x*l + 5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 221 - 2?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 460\/7 - 5982\/91. Let p = -24\/91 + w. Let h = -0.16 - -0.46. Which is the nearest to p? (a) 1\/2 (b) 0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**2 + j. Let v(r) = 21*r**2 - 2*r + 46. Let f(w) = 4*q(w) + v(w). What is the remainder when f(0) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 1\/4*p**4 + 0*p**2 - 3 + 0*p - 4\/3*p**3. What is the third derivative of d(o) wrt o?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 444 and 555.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -16. Let n(w) = -w + 5. Let a be n(z). Are a and -2 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 4, 37\/5, -3\/7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of p**3\/3 + 3*p**2 + 7*p + 2. Let m be t(-5). Solve -n - m*n + 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 388504 or 388292?\nAnswer: 388504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (8 - 3 - 14)) + -15.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*v + 20 - 41*v + 31 + 22*v as t*v + h and give h.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a hour in milliseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 17 = -0*a + 5*n, -3*n = a - 9. What is the third derivative of -5*f**2 + 3*f**6 - f**6 - f**a wrt f?\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/9 (b) -0.7 (c) -4 (d) 0.4 (e) 39 (f) -100 (g) 5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 2232.725 millennia?\nAnswer: 22327.25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7370.304us in seconds?\nAnswer: 0.007370304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-4) - (0 - 5). Solve 0 = 6*m - m - j*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15695 + 3663*p**3 - 5770*p**3 + 15695.\nAnswer: -2107*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 9:09 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11527 divided by 3\nAnswer: 11527\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/21 + (-93)\/217. Let r = 0.7 - 3.7. What is the nearest to 0 in r, b, 2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110432495 to the nearest integer?\nAnswer: 10509","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 237 + -421. Let x be y\/10 + (-8)\/(-20). Let l = x - -34. What is the remainder when l is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**2 - 21801*n + 1296702 = 0. Calculate n.\nAnswer: -7326, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -86\/7*i**2 + 58\/7*i**3 - 16\/7 - 18\/7*i**4 + 2\/7*i**5 + 60\/7*i = 0?\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/6)\/(12\/(-8)). Let o = 65 - 64.9. Which is the nearest to o? (a) 1\/12 (b) 1 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*p**3 + 1827 + 1363 - 5022 + 1832.\nAnswer: -113*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -7. Calculate the least common multiple of 40 and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00184557179 rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 154 + -613\/4. Let d = -1.58 + 0.08. Let f = -1.7 - d. What is the closest to f in 4\/7, j, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (210\/(-4)*(-488)\/(-610))\/((-6)\/(-3))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*m - 3*m + 14*m)*(6 + 14 + 36 + (1 - 2 + 2)*(0 + 2 + 0)) to the form h + g*m and give g.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 159642556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w + 1. Let b be d(2). Let r be b*((-13)\/(-4) - 3). Does 8 = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of 5*v**2\/2 - 28*v - 523. Find the first derivative of n(x) wrt x.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(336) - sqrt(21))*-2 + (sqrt(231) + sqrt(231)*2 - sqrt(231))\/sqrt(11))\/(-3*sqrt(21)\/(sqrt(7)*1)))**2 + -2.\nAnswer: 175\/9 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 60*y - 186. Let i be r(3). Solve 5*j - 2*j + i*g = -12, 0 = -4*j + g + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -18*k - 34. Let p be s(-6). Let t = p + -38. Does 6 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w + 9. Let a be v(-9). Suppose a*b - 4*b = -z - 3, 0 = 3*z + 3*b - 51. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 28 = -2*d - 2*a, -4 = -a for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -204 - -205. Are -2\/339 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 247*m - 246*m - 362. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 5356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 154057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69051 is divided by 480?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uqn when three letters picked without replacement from wauwsnqsa?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 2)*(938*l + 9*l - 34*l + 524*l) to the form p*l + i and give p.\nAnswer: -1437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (402636\/(-203))\/((-4)\/14) a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3. Let b = 10 + -7. Let r(m) = -m - 4. Calculate b*r(z) + 4*k(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53324 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the second derivative of 2*x**3\/3 + 40*x**2 + 21*x. Is r(0) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1.37 (c) 74116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-176)\/(-48) - (-1)\/3. Solve -2*s = -z*s + 4 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g. Suppose g = -x - 2*x + 3. Solve -3*m - 4 = -5*l, -4*m = -9 + x for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 109 - 109.0027. Let y = g - 0.0556. Round y to 3 dps.\nAnswer: -0.058","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 181103 - 181109.99908. Let c = 7 + f. Round c to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.123 - -1.123. Suppose 2*n = -3*n + 10. Let g = -61.8 - -62. What is the nearest to 5\/2 in g, q, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45236 < -45236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54252*a = 54496*a - 34160 for a.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/11438 and 15\/197714.\nAnswer: 1383998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -27\/4*y**4 - 18*y**2 + 0*y**3 - 23 + 0*y. What is the second derivative of q(o) wrt o?\nAnswer: -162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d**4 + 2*d + 3*d - 3*d + (2 - 4 - 1)*(-4*d - 2*d**4 + 4*d) as b*d**2 + i + j*d**4 + c*d + k*d**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29*276*5\/(-9 + 19) is divided by 89?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3950*f**2 - 1747*f**2 - 1903*f**2.\nAnswer: 300*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {a: 2, i: 1, y: 3, p: 3, s: 6}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 211.47 + -90.47. What is the second smallest value in -2\/9, -10, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 3420, 5218, 7016, 8814?\n\"Answer: 1798*d + 1622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5466318 by 22.\nAnswer: 248469","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 723 and -222.\nAnswer: -160506","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 13559365837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/3)*y**(-10))\/((y\/(y\/((y\/y**(-19))\/y)))\/y)**25 assuming y is positive.\nAnswer: y**(-1378\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o**3 - 24*o**2 + 18*o - 16. What is the remainder when 620 is divided by p(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 5*i - 25 = -61, -14*i = 5*k + 16 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 16) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31\/118 - -7529\/4130. What is the common denominator of 119\/20 and q?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/8 and -81\/94.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4520 or -4519?\nAnswer: -4519","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15 and 176343290?\nAnswer: 529029870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5.6 (b) -3400 (c) -0.1 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -328602 and 0.3.\nAnswer: -328601.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 70\/177 and -143\/4477992.\nAnswer: 264201528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + -1*sqrt(7)) + -2*sqrt(175)*3)**2.\nAnswer: -116*sqrt(7) + 5891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1047, 1057, 1073, 1095, 1123?\n\"Answer: 3*v**2 + v + 1043","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g**2 + 8507540*g + 9047279606450 = 0.\nAnswer: -2126885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 8*n + 2. Let w(t) be the first derivative of -t**4\/4 + 2*t - 2. Let m be w(2). Give g(m).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 215920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**2 + 31876*c - 509267. Determine n(16).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 AM and 11:53 AM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002164 rounded to five dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17588 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2219*f**4 - 4*f**2 + 478*f - 21608510 wrt f?\nAnswer: -8876*f**3 - 8*f + 478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.24602 to two decimal places.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 181*v - 10. Let p be x(2). Calculate the greatest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-33)\/(-132)*8\/(-6).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -28481, -56893, -85233, -113501, -141697, -169821?\n\"Answer: 36*s**2 - 28520*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10242371 (base 9) to base 5\nAnswer: 2230212301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 6*w**3\/7 - 16*w**2\/7 - 10*w\/7 + 12\/7 = 0.\nAnswer: -1, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14\/(-42)*-33 - -6*5013?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -150, -208, -318, -492, -742, -1080, -1518?\nAnswer: -2068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes before 2:25 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1220 - -1?\nAnswer: 1221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 20238998 <= 20238993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/4*-1)\/(6\/(-4)). Let w(k) be the first derivative of -1 + 0*k + 3\/2*k**2 - k**a. Find t such that w(t) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*f - 4 - 11. Suppose -288 + 43 = -f*b. Let n = 120 - b. Does 18 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -4)*4\/(-8) + -3. Let m(i) = i**3 + 5*i**2 - 2*i - 4. Calculate m(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*f - f**5 + 3*f**5 - 7*f - 2*f**3 + 2*f**5 + 2*f**3 + (-2 + 2 - 1)*(-2*f**5 + 0*f**5 + 0*f**5) + 2*f**5 + 16 - 16.\nAnswer: 8*f**5 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -139 - 118 - 7*t**2 + 407 - 149 + 144*t + 24*t. Let g(x) = 2*x. Calculate g(u(h)).\nAnswer: -14*h**2 + 336*h + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1968473, 3936944, 5905415, 7873886, 9842357, 11810828?\nAnswer: 13779299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0, 2\/19, -23, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -9. Let o = -3\/2 - -13\/10. What is the closest to -2 in o, p, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**2 + 0*g + 0*g)*(g**3 - 1 + 1) + 9*g**3 - 9*g**3 + 4*g**5 - g**5 + g**5 - g**5 - 2*g**2 - 139 + 26*g + 3*g**5 + 139.\nAnswer: 4*g**5 - 2*g**2 + 26*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + (-300)\/(-105))\/(-22*(-15)\/(-315))?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50464.\nAnswer: 2, 19, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 25.74643 days?\nAnswer: 2224491552000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27442508?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -116445 in -2, -0.18, -3, 2, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 616?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 129.273 - 2074.733067.\nAnswer: -1945.460067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*k**2 - 406 + 8*k**2 - 3*k**2 + 793 - 387.\nAnswer: -7*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -352.9817 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 153 = 57. Suppose 5*s + x = -0*s. Is (10\/7)\/((-2)\/s) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*i**2 + 76*i**2 + 30*i**2 + 24*i**2 - 258*i**2.\nAnswer: -67*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 750 = 25*q - 0*q. Calculate the lowest common multiple of 8 and q.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 660 and 46068?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4853 + 9600. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -256 + 259. Let c(l) be the second derivative of 6*l - 1\/72*l**4 + 1\/12*l**q - 1\/6*l**2 + 0. Factor c(k).\nAnswer: -(k - 2)*(k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**5 - q**5 - 4*q**5)*((-2 - 1 + 2)*(0 + 2 + 1) + 1 - 2 - 2).\nAnswer: 18*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*1*(-5 - -4). Sort a, 10, -2 in decreasing order.\nAnswer: 10, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k - 78. Determine t(20).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/4)\/((-1335)\/(-6764)))\/(16\/(-1360)*-17)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1842381 divided by 204709?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115 + -116. What is the third smallest value in 2\/5, -11, a?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*k - 15 = 0, g - 3*k + 1 = -2. Let n(m) be the second derivative of -m**4\/12 - m**3\/6 - m. Calculate n(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 103155478.\nAnswer: 2, 67, 251, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((-2 + 1 + sqrt(684) + -2 - (3 + sqrt(684) + 2 - (2*sqrt(684) + 1))) + 0))**2.\nAnswer: -4200*sqrt(19) + 69625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3)\/4)\/(-3))\/(45\/108*-3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 10176 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (5*sqrt(85)*1 + sqrt(85)))*-5*-3)\/(5*(sqrt(125) + 1*((sqrt(125) - (sqrt(125)*1 + sqrt(125))) + sqrt(125) + sqrt(125)))).\nAnswer: -3*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(1 - (3 + 0)). Let s(r) be the first derivative of r**2\/2 + 3*r + 3. Let c be s(-6). Put k, c, 2\/7 in descending order.\nAnswer: 2\/7, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 33 + -1111?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 4*l - 10 = 0, -z - 2 = 3*l - 4. Suppose -z*d + d = -4. Find the third derivative of 3*a**6 + 0*a**2 + 6*a**4 - 6*a**d + a**2 wrt a.\nAnswer: 360*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -2*h**2 + 14*h - 26. Let x be (3*8\/(-36)*3)\/(-1). Let q be r(x). Let a = 16 + -22. Is a less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 4*y - 16, 5*y - 347 = -682 + 340 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 5*a - 6. Let g(v) = v**2 + 5*v + 14. Let t be g(-6). Suppose -m - a*m = t. Sort m, 4, -1 in descending order.\nAnswer: 4, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 10*p - 26. What is k(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 21437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 752 + -755.11. Let u = 2.977 + l. Round u to two decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/(-3))\/2 - 11. Let p = b - -8. Solve 3*z + p = -14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -0.1, -1\/26350, -7, -4 in ascending order.\nAnswer: -7, -4, -0.2, -0.1, -1\/26350","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 88 - -12. Let i = -38 + u. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3694084*o**2 + 17813096*o + 21473956 = 0. What is o?\nAnswer: -2317\/961","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*n**5 + 7056*n**3 - 16184*n**2 + 6.\nAnswer: -900*n**2 + 42336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000035886 rounded to seven decimal places?\nAnswer: -0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/30 and -18\/35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 + 7*q + 7. Let p be -6*1\/2*-1. Let a(t) = t**2 - t - 3. Let l(c) = 4*c**2 - 2*c - 9. Let h(i) = -7*a(i) + 2*l(i). Give p*g(r) - 7*h(r).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 7:52 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v*v**0*v)*v*v)\/v)\/v*v**6*(v**5\/v)\/v**(-1\/2))\/(v**(3\/7)*v\/((v*v*v*v**(-2\/7))\/v*v))**16 assuming v is positive.\nAnswer: v**(407\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -7*c**3 + c**2 - 11*c - 16. Calculate the remainder when 78 is divided by x(-2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, y: 3, e: 3, s: 1, o: 3}. Give prob of picking 2 o, 1 f, and 1 s.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-169153)\/1457 - -117)*31\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1ad15 (base 14) to base 6\nAnswer: -1244435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwwg when four letters picked without replacement from wggggwgggggwgggg.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 8*x**3\/27 - 7*x**2\/9 - 4*x\/9 + 4. Factor v(k).\nAnswer: 2*(k - 2)*(4*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1342, 2652, 3962?\nAnswer: 5272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4286 - 3037. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 4, 0, -2, 38 in ascending order.\nAnswer: -2, 0, 4, 38, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16*(-6)\/176 - 183\/33)*103\/(-5).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) be the second derivative of -o**9\/42 + o**5\/6 - 7*o**2\/2 - 17*o. Let g(z) be the first derivative of p(z). Find the third derivative of g(c) wrt c.\nAnswer: -1440*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/2)\/(10\/20). Let b be (m + 2)*(-8)\/(-8). Solve b*z + 6 = -1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 652 a factor of 5073212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 3*c + 704520, -2*c = -4*o + o + 469665. Is c\/(-153) + 4\/34 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -3 (c) 0.54 (d) -0.06 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20727?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-80)\/56*(-2)\/(-5).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 4396904.\nAnswer: -2198452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -k**3 + k**2 - k**2 - 22 + 4*k**3.\nAnswer: 3*k**3 - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000762 rounded to six decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 0\/(0 - 2). Suppose t + 2*s = 2*t + 8, 5*t = s + 5. Let d be 8\/t*x\/(-10). Which is the nearest to -1? (a) -0.5 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7329, -14363, -21193, -27717, -33833?\nAnswer: -39439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes before 8:27 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -127 - -3. Let f = -122.816531 - 1.188569. Let u = a - f. Round u to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28 + 1)\/(3396\/4528).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 2*r + 97. Let l = 3 - r. Is (3 + -2)\/((-2)\/l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/124029407 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 100175, 100171, 100165, 100157?\nAnswer: 100147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 + 8*m + 122. Let w be h(0). Let o be (-2)\/6*-1*9. Suppose -5 + w = o*x. List the prime factors of x.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 732*k + 18131. Let g(f) = 366*f + 9054. Let c(s) = -2*b(s) + 5*g(s). What is the first derivative of c(y) wrt y?\nAnswer: 366","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1.0801 - 0.4801. Which is bigger: -28\/3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-22) + 4 + 300\/(-44). Let p be (-1728)\/7920 + b\/((-30)\/4). What is the third smallest value in 0.5, p, -0.3, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121222110 + 10?\nAnswer: -121222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 95466226 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -5, 7\/4, 4?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 23, -960762, 2\/3, -1?\nAnswer: -960762","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of -1287*z**2\/2 - 2056*z - 2606. What is the first derivative of n(m) wrt m?\nAnswer: -1287","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.416 take away -205.09967382?\nAnswer: 204.68367382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25964 is divided by 12954?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 920907777.\nAnswer: 3, 151, 2032909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -57534, -115083, -172596, -230055, -287442?\n\"Answer: 3*o**3 - 57570*o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**5\/4 - 19*v**4\/4 - 199*v**3 + 1756*v**2 - 3600*v = 0.\nAnswer: -25, 0, 4, 36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.022*0.5661335.\nAnswer: -0.012454937","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-285)\/(-19))\/(3*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 + -58. Suppose t*v - 21*v + 1 = 0. Solve -s + 5 = -4*o, 2*s - 5*s = 2*o - v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1556*z + 207 - 31327 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -2*j + 39, 2*j - 70 + 25 = -5*o. Suppose -j = -l + 9. Solve u + 3*x - 7 = 0, -7*u - l = -2*u - x for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1823*g + 29 + 26 + 26 - 81 to the form t*g + p and give t.\nAnswer: -1823","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.930291 - 8.916. What is z rounded to 3 decimal places?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 478622693 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.28 + -3.04. Let c = -3.33 + o. Let m = -3.7 + c. Round m to one decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 18*n - 29. Let i be v(-16). Suppose -126 = 19*a - 22*a + i*q, 122 = 3*a + q. List the prime factors of a.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 89 = 2*l, -2*x = 5*l + 3*x - 135. Suppose -4*m - l = -0*m. Let p be (m\/10)\/((-8)\/20). Solve -3*f - p*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 > 10\/6119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 150193741?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**3 + v**3 + 0*v**3 + (-3*v + 6*v - 2*v)*(-v**2 + 2*v**2 - 2*v**2) - 2*v**3 + 6*v**3 - 2*v**3 - 26*v + 26*v - 5*v**3.\nAnswer: -6*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/23265 and 28\/181467.\nAnswer: 907335","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 12:43 AM?\nAnswer: 12:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1277421 or -1277427?\nAnswer: -1277421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 278 + (-8 - 78) + -102?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -486643317 divided by -137\nAnswer: 3552141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**2)**(1\/8)*(j\/j**(-2))**(5\/9) assuming j is positive.\nAnswer: j**(23\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 + 697278*n - 1394544.\nAnswer: -3*(n - 232424)*(n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-83)\/(-166)*8\/(-132)\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -15. Suppose -4*d + z*d = -10. Suppose 2*u - 10 = -2*w - 0*w, -5*w + u + 19 = 0. What is the closest to -1\/2 in -2, w, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8820 divided by -126?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93410572?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5*h - 42 = 0, -8*a + 7*a + 33 = -4*h for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 619242 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**2. Let i(a) = -a**3 + 4*a**2 - a + 5. Let k be i(4). Suppose -k = 4*r - 9. Let m(y) = -2 + 9 - r*y - 7. Give p(m(g)).\nAnswer: -24*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 276 divide 27048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**2 + 8*g - 1. Let i be k(-8). Let o(q) = q + 4. Let y be o(-6). Which is the third biggest value? (a) i (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/30 of a decade?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 0*d = v - 4, 0 = 4*d + 3*v - 12. Suppose d = -5*t + 3*h + 25, 3*t + 5*h + 16 = -3. Solve -3 = 3*f - t*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b**5 - 25426*b**4 - 229046*b**3 - 712792*b**2 - 916568*b - 407392 = 0 for b.\nAnswer: -4, -2, -1, 12731\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40738 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3271198 bigger than 3271198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 11 - (-3 - -13)) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/1296712 and -97\/128.\nAnswer: 20747392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (736\/(-16) + 36\/3)\/(2\/(-2))\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b8 + 81?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**3 + 9*m**2 - 7*m - 10. Calculate z(-10).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6552.372ml?\nAnswer: 6.552372","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 9, 3*p + 39*v = -2*p + 142 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.04 + 0.04. Let i(r) = -r + 5. Let m be i(6). Let z = 2 - -2. Which is the nearest to p? (a) 5 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -8*c**2. Let m(y) = y - 3. Suppose -5*h - 3 = -53. Let n(r) = -5 + 18 - h - 4. Let u(o) = -m(o) + 3*n(o). Give d(u(w)).\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5937*b**2*u**3 - 176*b*u**3 + 2*b*u**2 + 6*b wrt b.\nAnswer: -11874*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -102267727 at most as big as -102267728?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 102*n + 72. What is the third smallest value in -1\/2, n, -1\/154, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 417240 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14709?\nAnswer: 3, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 20949*r - 631. Is j(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7564494 and 4630?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 0.13, 0.17.\nAnswer: 0.13, 0.17, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 229 - 5266\/23. Let h = -2 - -13. Let a = -12 + h. Which is smaller: i or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 152 + 228 = -151*o + 832 + 907 for o.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -103, -125, -223, -439, -815?\n\"Answer: -7*k**3 + 4*k**2 + 15*k - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (5*(3 + sqrt(80) + sqrt(5)) - (1*sqrt(5)*3 + -2))**2.\nAnswer: 748*sqrt(5) + 2709","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 18*d + 7576 = 0. Let h = -520 - d. Is 12 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millisecond in microseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -368*x**2 + 57*x + 45. Let o be u(25). What is o rounded to the nearest one thousand?\nAnswer: -229000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*a - 6 - 26 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 9 + 25 = -4*z, -l = -5*z + 4. Suppose 6 = -l*f + 24. Solve 0 = 3*g + g - 4, 0 = 3*u - f*g - 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 2*t = -47, a = -4*t + 4 + 25. Find the first derivative of 19 + 44*i - a*i - 3 wrt i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/20 of a gram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -5*v - 3. Let j be s(-2). Let n(l) = -l**3 + 14*l**2 - 4*l - 15. Let i be n(j). Let t = -80 + i. Round t to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.087 + -0.487. Which is the closest to 0.09? (a) -1\/6 (b) 3\/5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, 2\/9, 0.09, -4 in increasing order.\nAnswer: -4, -1\/3, 0.09, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 g when two letters picked without replacement from {r: 2, z: 5, n: 3, g: 1, t: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2714809, 2714810, 2714811?\nAnswer: 2714812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1\/5)\/((-11)\/(-5)). Which is the smallest value? (a) -3\/2 (b) f (c) -2\/3 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -88, -3, -13428, 2 in increasing order.\nAnswer: -13428, -88, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4975542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 25*k - 104 = 0. What is the highest common divisor of k and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*u**5 - 19*u**3 - 3119*u**2?\nAnswer: 960*u**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1315*c**5 - 2*c**4 - 2*c**2 + 2487*c.\nAnswer: -78900*c**2 - 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p - p)*(319 - 461 - 416).\nAnswer: -1116*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -20? (a) -2\/11 (b) 1\/17 (c) -87548\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4311691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1555 by -1.\nAnswer: 1555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 68 a factor of 141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-28)\/(-70)*(0 - -5). Solve -4*c + o*r + 2 = -6*c, -r = 3*c - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 + 46*r - 43. Let d be q(-24). Let z(n) = -n**3 + 5*n**2 + 2*n - 17. Determine z(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1305 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 56 + (-25 - -16 - (0 + -10)) + (4 - -1).\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iinquiiiiiiui. What is prob of picking 2 i?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00111875112 to 4 decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68 is divided by 15.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 + -35. Let p(w) = 4*w - 4. Determine p(r).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33044 is divided by 471.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 11 + 19 + 22 - 82*d.\nAnswer: -82*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1725 is divided by 64.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -50, -3, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.1272kg in tonnes?\nAnswer: 0.0121272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74 + 12*t**3 - 150 - 2*t**2 + 79 to m + v*t**2 + y*t + x*t**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -1242*m**3 - 3*m**2 - 709*m**3 - 7769*m + 7769*m as r*m**2 + x*m + z*m**3 + s and give z.\nAnswer: -1951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**9\/336 - k**6\/30 + 10*k**3\/3 - 8. Let n(z) be the third derivative of s(z). What is the third derivative of n(r) wrt r?\nAnswer: -540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 530956893993 + -102\nAnswer: 530956893891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 12*k**2 + 10*k - 13. Determine y(-11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 29999154 and 2428.\nAnswer: 1214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -100?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - -12) + -1*(-4 + 7). Let g = -25\/56 - -7\/8. Factor k*p**4 - 39\/7*p + 66\/7*p**2 + 9\/7 - g*p**5 - 54\/7*p**3.\nAnswer: -3*(p - 3)*(p - 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*v + 8 - 8 + ((-4 + 7 + 6)*(-2 + 1 - 1) - 21 - 25 + 11)*(-2*v + 1 - 1 + 3 - 3 + v + (1 + 1 + 0)*(2*v + 0*v - 3*v) + 3*v - 2*v - 2*v - 1 + 1 - v).\nAnswer: 256*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -251, -256, -261, -266, -271?\n\"Answer: -5*j - 246","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -4*b + 5. Suppose -62 - 28 = -b*n. Suppose -n - 20 = -5*k. What is the smallest common multiple of k and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292455 at least 292513?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-72)\/10)\/(-4))\/((-6)\/20).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*t + 1937 = 1508 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9735740 to the nearest integer?\nAnswer: 3120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15643 less than -0.2?\nAnswer: -15643.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(1 - -1)*(-5)\/(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 2*h + 5*n - 39, 4*h + 3*n - 63 = 0. Solve -94 = h*b + 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**2 + 3*w.\nAnswer: -w*(w - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -4*q**3 - 21*q**2 - 12*q + 206. Let k(t) = -7*t**3 - 39*t**2 - 22*t + 411. Calculate 6*k(i) - 11*o(i).\nAnswer: 2*i**3 - 3*i**2 + 200","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83434 is divided by 298.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 112 + 53. Let j = t + -173. Let d(q) = -3*q**2 + 5*q. Let b(i) = -4*i**2 + 8*i. Give j*d(m) + 5*b(m).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 657, 4988, 16795, 39816, 77789, 134452?\nAnswer: 213543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - y + 516 = 0, -10*y = 3*d - 11*y - 394. Is (432\/(-135))\/((-4)\/d) a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 283377 (b) 2\/13 (c) -2 (d) -1\/4 (e) 0 (f) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 21a5b?\nAnswer: -21a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -1) + 28 + -26\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.619721 to 2 decimal places.\nAnswer: 6.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-879 + 879 + k)*((2 - 1 - 3)*(-3 + 4 + 0) + 2 - 4 + 1 + 0 + 2 + 0) + 2*k + k - 5*k.\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 304489 is divided by 316?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2334.38 hours to microseconds.\nAnswer: 8403768000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15224 to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 4 = -3*j + 6, 5*j = m + 19. Let o be (-2028)\/(-8) + m*3\/(-6). What is the highest common factor of o and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*w - 352 - 299 = -91 for w.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**3 - 6*v**2 - 5*v. Let l be c(-2). Is l\/(-6)*(-3)\/3*873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44136 a multiple of 613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14661*h - 6341*h**2 - 14661*h + (-h + 2*h - 3*h)*(-2*h + 0*h + 4*h).\nAnswer: -6345*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00005671 rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen eighths of a millisecond in microseconds?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(28) + sqrt(196)\/sqrt(7))\/sqrt(4) - (sqrt(7) - (sqrt(567) + 0)) - (6*sqrt(28) + (sqrt(28) - -1*sqrt(28))\/sqrt(4))*6)*-6)**2.\nAnswer: 1379952","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 161, 29, 5 in decreasing order.\nAnswer: 161, 29, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16648 - 16637.064. What is y rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -59, 3, -4, -14?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -0.1?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 98203233211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 5*w + 6 = 0, -4*t + 2 = w - 1. Sort 0, -3, -5, t in increasing order.\nAnswer: -5, -3, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -524*y - 418*y + 1041*y = 4653 for y.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -150571338 != -150571337?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 94*v - 98*v = -379*v + 93*v + 97*v + 21, -2*v = -2*k - 34 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + 5*f**5 - 4*f**5 + (-2*f + 6*f + 0*f)*(f**4 + f**4 - 4*f**4) + 0*f**5 + 8 + f**5 + 1.\nAnswer: -8*f**5 + 9","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*3\/9)\/(5\/9)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(6)*4) + 3 + (3*sqrt(448))**2*1)*1.\nAnswer: sqrt(7)\/4 + 4035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25 (base 6) to base 8.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 5:37 AM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 2\/7 (c) -3\/4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -665 divided by 5?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**5 - 65*g**5 + g**5)*((3 - 6 + 2)*(-4 + 4 - 2) - 4 - 4 + 5).\nAnswer: 63*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.7 - -3.7. Let c = 2.6 - -0.2. Let j = c + -3. Sort j, s, 2.\nAnswer: j, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3936450 a multiple of 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 18 = -5*j. Calculate the least common multiple of (34 - 64)\/(2\/(4\/(-3))) and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y + i - 12, -2*y + 0*i + 27 = 5*i. Suppose 0 = 3*n - l + y, n + 7 = -4*n - 4*l. Let z = 2 - n. Solve 0 = -z*v - 2*q - 19, -2*v - 2*q = 2 + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445729.\nAnswer: 233, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3364, -1950, -536?\n\"Answer: 1414*h - 4778","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**2 + m**3 + 2*m - 3*m**3 + 4*m**2 - 1. Let q be w(1). Is -19*-5*(q - -2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 10 = y, -133*y + 134*y = 4*f - 55. Solve f = -6*s + 27 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.1 (b) 45\/7 (c) -2269 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -204 - -205.199. What is y rounded to one dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 4 (b) -0.5 (c) 7.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 8*g - 3. Let a be t(-7). Suppose 0 = 7*p - a + 25. Let j = -1.4 + 1.7. Sort -0.2, p, j in decreasing order.\nAnswer: j, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((5*x + 4*x - 3*x)*(-1 - 1 - 1) - 5*x + 3*x + 6*x)*(2 - 2 + 2).\nAnswer: -28*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 32401 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.016 - -5.5\nAnswer: 5.516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2165 and 2165?\nAnswer: 2165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 1:35 AM?\nAnswer: 1:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, g: 2}. Give prob of picking 1 z and 1 g.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 + 5. Suppose -2*o - 3*i = 21, -42*o - 3*i = -47*o. Let j(v) = v**2 + v - 1. What is o*j(s) - q(s)?\nAnswer: -2*s**2 - 3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (10\/6)\/(-5)*(-12)\/(-32). Which is the closest to n? (a) -2\/5 (b) -0.3 (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 253 = 85. Suppose 78 = -2*n + w. Sort 0.4, n, 51\/5.\nAnswer: 0.4, n, 51\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 907*a - 999*a - 4350*a - 2652*a = -439828 for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.2, -10, -2.8, -9.4, -2\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 4602 (b) 3 (c) -0.06 (d) -3 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2430) + (2*sqrt(2430) - sqrt(2430)) - sqrt(2430) - sqrt(30) - sqrt(30) - sqrt(30))\/sqrt(6).\nAnswer: 6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4 - 5)*(-1 - 5 + 5)*(n**2 - 2*n + 2*n) + (-5 + 5 + n)*(4*n + 4*n - 6*n).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000001101001 - 100?\nAnswer: 1000001100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1168*r - 23 + 53*r**2 + 10 - 55*r**2 + 13.\nAnswer: -2*r**2 - 1168*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 + k - 5. Let h(c) = 5*c - 18. Let v be h(4). Let n(y) = 3 - 9 - 2*y**2 + 0 - 3*y**v + y. What is 5*n(l) - 6*p(l)?\nAnswer: -l**2 - l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 163 + (40 - (69 + 14)).\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -7*t**3 + 2*t**2 - t. Let y be j(1). Let p(w) = w + 7. Let k be p(y). Let f be -58*(k - 9\/6). Solve -5*a = 2*o + 2*o + 9, f = -5*a + o for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 l when three letters picked without replacement from {l: 7, h: 6}?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 12, 94510 in increasing order.\nAnswer: -5, 12, 94510","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2 - 308830*i - 23843992225 = 0. Calculate i.\nAnswer: -154415","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -u**3 + 1088*u**2 + 13189*u + 12100 = 0.\nAnswer: -11, -1, 1100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6 = 1. Suppose 0 = 5*y - 4*x + 10, 5*y = 2*y - 4*x + 26. Suppose -3*w = -y*j - 11, -3*j + j - 2*w = 6. Sort j, -1\/4, b in ascending order.\nAnswer: j, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1330373338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-12)\/(36\/231) + 1253\/(-179)?\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-192)\/(-30) - 5 - (-9)\/15. What is the closest to a in -1, -222, -3, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230353 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 38 = -3*v. Let r(z) = z**2 - 3*z - 5. Let d be r(5). Let f = d + 15. What is the remainder when v is divided by f?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95, 123, 173, 257, 387?\nAnswer: 575","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 1533*d - 4800. Calculate the lowest common multiple of n(4) and 666.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-75)\/(-50))\/((-18)\/(-152)) and -5\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - -2)*(-5)\/(-55)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7555 - -7555.4627. Round b to two decimal places.\nAnswer: 0.46","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 4*n - 4*h - 24, 0 = 5*n - 4*h - 27. Let t be n - (213\/(-3) - -2). What is the highest common factor of 8 and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 211\/60382770 and 46\/56069715.\nAnswer: 784976010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and 10007.\nAnswer: -40028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 28, 4*y + 4*u - 2292 - 6952 = 0. What is the highest common factor of y and 36?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27360419 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 2*o = 10, 0 = -5*c - 2*o + 99. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265657993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d**2 + 5. Let l = 12 - 7. Let o(n) = 6*n**2 - l*n**2 + 0 + 2. What is -15*o(t) + 6*w(t)?\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 31*f - 89. Let x = -185 - -201. List the prime factors of b(x).\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421645 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: What is the hundred thousands digit of 208053000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39742?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 74.2 + -194368.3079\nAnswer: -194294.1079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -98, 5, 3 in decreasing order.\nAnswer: 5, 3, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -12*a. Calculate the smallest common multiple of 600\/34 + -6*(-44)\/748 and k(-4).\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 4*j**2 + 9*j - 1. Let k be t(-7). Let f be 2\/(-3) - k\/(-3). Let u = f - 0. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be -9*(3 + (-5)\/3). Let a be -3*436\/s - 0. Suppose 2*p - 157 = a. Calculate the highest common factor of 19 and p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4493.\nAnswer: 4493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 125863?\nAnswer: 125863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4799 + 4801. Let y be (-1 + 1)\/((-1)\/(-1)). Let x(b) = 2*b. Let l be x(6). Solve -t*v + l = -0*v + 4*o, y = v - 5*o + 15 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2419.\nAnswer: 41, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4*(-9)\/144*(-12)\/(-3). Which is greater: q or -15\/26?\nAnswer: -15\/26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -h - h + 10, -3*h = -2*r - 10. Suppose 0 = 5*i - h*j - 3*j, i + 13 = -2*j. Which is the second smallest value? (a) 4 (b) -0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/6900 and 73\/10296870.\nAnswer: 102968700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8)*(h*h**(2\/13)*h)\/h*h)**(-28)\/(h**(5\/6)*h**(-3\/5))**(3\/4) assuming h is positive.\nAnswer: h**(85029\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*d + 1504 = -21*d + 45*d for d.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 567698908.\nAnswer: 567698906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2223*m + 786*m**3 - 2223*m.\nAnswer: 786*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55143420?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 6*f**2 + 3. Let a = -12 - -7. Let n(x) = 11*x**2 - x + 5. Let d(v) = a*p(v) + 3*n(v). Factor d(q).\nAnswer: 3*q*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 less than -8569?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**5 - 60*q**4 - 1816*q**3 - 6072*q**2 + 25812*q + 30132 = 0.\nAnswer: -9, -1, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -121, -220, -307, -376, -421, -436?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4993a148 + 12?\nAnswer: -4993a136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4662, 9364, 14066?\nAnswer: 18768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d. Let a(w) = 25555*w. Calculate a(v(g)).\nAnswer: 25555*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-739)\/56)\/((-14)\/5124). Let s = -37353\/7 + u. Let f = s - -487. What is the common denominator of -31\/18 and f?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -390*o**2 - 162. Let t be (-1 - (-1)\/7)\/((-9)\/(-63)). Let s(c) = -130*c**2 - 54. Let r(f) = t*x(f) + 17*s(f). Differentiate r(q) wrt q.\nAnswer: 260*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + (0 + sqrt(68) - sqrt(68)))*3)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 30. Let g = -4791\/8372 + 1\/1196. Sort g, r, 1\/3, 3.\nAnswer: g, r, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j**3 - 570*j**2 - 8297*j + 17. What is b(-14)?\nAnswer: -1033","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*w = 38*w + 450. Does 30 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (1*(sqrt(405) - -4*(sqrt(405) + sqrt(405) + -1*sqrt(405) + sqrt(405) + sqrt(405))))\/((sqrt(378)\/sqrt(96))\/(4*sqrt(28))).\nAnswer: -1 + 1248*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dsct when four letters picked without replacement from ccscjtcccccedscces?\nAnswer: 1\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 10. Let w be (-8 - -11)\/(1\/6). Suppose 2*u - 21 = -4*q + 3*q, g*q = 3*u + w. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*q**2 - 2 - 2*q**2 + 0*q**2 + (-3*q - 3*q + 4*q)*(3 - 3 - 2*q).\nAnswer: 7*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11155, -22288, -33399, -44476, -55507, -66480, -77383, -88204?\nAnswer: -98931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lnl when three letters picked without replacement from nnnnlnnnnnlnnnnnlnnl.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -4*c + 187. Calculate s(47).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z**4 + 15*z**3 - 115*z**2 + 165*z - 70 = 0. Calculate z.\nAnswer: -7, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 365937.3l to millilitres.\nAnswer: 365937300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -19 + 7 - (1 + 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (102 - 81) + -15 + 0 - 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -37 + 275. Suppose 38*y = -368 + 2686. What is the remainder when x is divided by y?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*s - 17*s = 15 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-119)\/(-21) - (15 - 11)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 1\/42, 3\/7, 201?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*r + 22*r - 37*r + 216. Suppose -5*o + 250 + 125 = 0. Calculate the remainder when o is divided by r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170245.\nAnswer: 5, 79, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/21*(-333)\/74*-7?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 2*x. Let f(s) = -9801*s. Determine u(f(z)).\nAnswer: -19602*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*s = -48 - 36 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 PM and 2:24 AM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*b - 25 + 1 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/9)\/g**22)**(-2\/91) assuming g is positive.\nAnswer: g**(404\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 + 2.6. Let g = -191027 + 191027.4. Which is the fourth biggest value? (a) 1\/2 (b) y (c) 27 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-14))\/((-69)\/161)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/4)\/(575\/100)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -197+68742.279614\nAnswer: 68545.279614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 235 (base 7) to base 10.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-5) - 12\/10. Let u be (-18 + 2)*6\/(-4). Let f be ((-7)\/(-42))\/((-3)\/u). Sort 6, a, f in decreasing order.\nAnswer: 6, a, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from cellllecmlcle?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 967, 3862, 8681, 15418, 24067, 34622, 47077?\nAnswer: 61426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*l + 9, -6*c + l - 3 = -c. Let j be 21\/14*(2 + c). Solve n = j*n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4167806 and 313294?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2763\/4 - 682. Let m = -1 + 5. Which is the closest to -2? (a) p (b) m (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 y when three letters picked without replacement from rrryyrrrrr?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**3 - 18*o**2 + 46*o - 806. Let f be u(18). Solve 25*b - 18 = f*b for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -2919310?\nAnswer: -1\/2919310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 129*m**2 + 83*m - 255. Calculate t(3).\nAnswer: 1155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 11*j**2 + 4*j - 2. What is the units digit of s(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2394*i**4 + 2*i**2 + 2*i - 33301.\nAnswer: -9576*i**3 + 4*i + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -370 = 34*c - 29*c. Let g be (-111)\/c*10\/3. Solve -3*t - 11 = -2*b, -4*b + g = 1 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*b - 44 = -9, -j + 4*b = -25. Let q(f) = f**2 - 3*f + 4. Let w = -79 + 133. What is the remainder when w is divided by q(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 3*o**2 - 6*o - 1. Let z = 1664 - -689. Calculate the remainder when (-2)\/10 - z\/(-65) is divided by r(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h**9*h))\/(h\/h**(3\/7)))**41\/((h**(-2\/7))**(-2\/53)*h*h\/(h\/(h**(6\/5)*h))*h**1) assuming h is positive.\nAnswer: h**(-735766\/1855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122 + 20?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32312932 to the nearest integer?\nAnswer: 5684","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -708*w - 1156 wrt w.\nAnswer: -708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 49, 85, 127, 175, 229, 289?\nAnswer: 355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in one fifth of a centimeter?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) -4 (c) -0.03 (d) 0.1 (e) -1\/8 (f) -20\/3 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 720, 853, 960, 1029, 1048?\nAnswer: 1005","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, w: 11}. Give prob of sequence nnn.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - i**2 + 2. Let t(s) = 62*s**3 + 3*s**2 - 3*s - 10. Let g = -63 + 64. Let c(z) = g*t(z) + 5*m(z). What is the third derivative of c(b) wrt b?\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13)\/(1248\/1080)*2\/(-10)*-12.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - b + 5*b)*(-2 + 2 - b + 0*b + b + 0*b - 3*b + 0*b + b + (0*b + 3*b - b)*(0 - 3 + 2) + 7*b + b + 9*b).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**2 + 3*u + 2. Let a be 0 + 8\/(-2) + 2. Let i be y(a). Suppose i*z = -3*m - 5*z - 7, 5*z + 10 = 0. What is the third smallest value in -3, 3, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69138.\nAnswer: 2, 3, 23, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -4*p**3 + p**2 + 2*p - 8. Let f be r(-5). Let d be (1 - 84)\/(f + -3). Let i = 3\/56 + d. Which is the nearest to i? (a) 0.5 (b) -0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 11644062?\nAnswer: 11644061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilometer in centimeters?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (560\/168)\/(2 - (-12)\/(-9)). Which is the closest to -1? (a) w (b) -5 (c) 2 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12.6*-80.059\nAnswer: 1008.7434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81764.\nAnswer: 2, 20441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.233 - -0.233. Sort -1\/5, b, 123.\nAnswer: b, -1\/5, 123","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79929351 is divided by 152.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 331 - 254. Calculate the least common multiple of s and 88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of 1003*j**6\/30 + 10033*j**2\/2 - 23*j + 84. What is the first derivative of o(g) wrt g?\nAnswer: 4012*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 0*a - 2\/3*a**3 - a**2 + 4. Factor p(d).\nAnswer: -2*d*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 51, -31, -291, -819, -1705, -3039?\n\"Answer: -15*d**3 + d**2 + 20*d + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1983 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-14) + 325\/35\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -45658*j - 46268*j + 88423*j to u + m*j and give m.\nAnswer: -3503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13458 is divided by 164.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -1.9 (b) -6 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + 1.1183\nAnswer: 0.8183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5931*k*u**3 + k*u + 770*k - 3 wrt u?\nAnswer: 17793*k*u**2 + k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -212 - -59. Let v = -153.0000695 - x. Round v to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 236989984, 236989987, 236989990, 236989993, 236989996, 236989999?\n\"Answer: 3*s + 236989981","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of 143*y**8\/336 + 2*y**7\/105 - y**5\/60 + 19*y**4\/4 - y**3 - 2*y**2 + 2*y - 97. What is the second derivative of k(u) wrt u?\nAnswer: 2860*u**3 + 48*u**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 4*g - 8 - 10, 16 = 4*g. Let x be 2 + u - (-80)\/(-32). Which is the smallest value? (a) x (b) -0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 4 - 6. Let u be (38 - 2) + v + -3. What is the highest common factor of 7 and u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 8*y + 52. Let u be x(8). Let g = 263 - u. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/(-6))\/(3\/216). Suppose 0*l - 6*l = p. Is l < -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 49 + -27. Calculate the smallest common multiple of i and -7*((-52)\/7 - -6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -416*i + 418*i + 2*r - 31004, 3*i - 4*r - 46499 = 0. Is i a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -6*q**2. Let f(a) = -9*a**2 - 760. Determine f(z(t)).\nAnswer: -324*t**4 - 760","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:53 AM and 7:13 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194*n - 66600 = -258*n - 148*n. What is the highest common divisor of n and 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/5 and -123\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -12240 < -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 11:32 PM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -51?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 883 (base 13) to base 6.\nAnswer: 10431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -3, 0, 3, 7 in decreasing order.\nAnswer: 7, 3, 0, -3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58\/(-4)*(176\/64 - (-3)\/(-4)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2. Let x(u) = -95*u**2 + 3 - 3 + 63*u**2. Determine x(g(i)).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of v**5\/60 - v**4\/3 + 5*v**3\/6 + 26*v**2. Give l(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -5*l**3 + l**2 + l - 1. Let s be r(-1). Let y be 0\/3*1*-1. Solve y = 2*f - s*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -d**6\/15 - 923*d**5\/20 - d**4\/6 + 337*d**3\/2 + 146*d. What is the third derivative of r(b) wrt b?\nAnswer: -48*b - 5538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73012 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -89*k - 11. Calculate the remainder when u(-2) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3373 divided by 67\nAnswer: -3373\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 35*1 - (3 + -2)*-1. Let l = -34 + j. Solve -5*b - 3 = l*u + 3, 0 = 4*b for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.7 - 3391?\nAnswer: -3382.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**2 + 13*a + 20. Let d be v(14). Let o be d\/20*(-16)\/(-24). What is the nearest to -1\/2 in 16, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.3 and -955089.\nAnswer: -955089.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 3*t - 490. Let b(f) = f**2. Give y(b(v)).\nAnswer: 3*v**2 - 490","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/21, 2\/71, 254\/3, -4477?\nAnswer: 254\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -x**6\/30 + x**5\/15 + 2*x**4\/3 - 8*x**3\/3 + 3*x**2 - 43. Factor v(s).\nAnswer: -4*(s - 2)*(s - 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of r**4\/4 - 8*r**3\/3 + r**2\/2 - 6*r - 1. Let x be u(8). Suppose -3*g - l = -82, g - 17 = x*l + 8. Is g a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -209 + 261. Suppose -2*p + 3*b + 2 + 93 = 0, -p + 3*b + j = 0. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 514, 1\/3, 125, 9, 2\/5 in increasing order.\nAnswer: 1\/3, 2\/5, 9, 125, 514","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.28247025 to 4 dps.\nAnswer: 0.2825","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 238618?\nAnswer: 2, 229, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1643818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 l when two letters picked without replacement from {o: 2, q: 4, d: 2, i: 3, l: 1}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -2 + 1\/4*f**2 - 1\/2*f**3 + 0*f - 1\/8*f**4 + 3\/10*f**5. Factor q(u).\nAnswer: u*(u - 1)*(u + 1)*(3*u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -5*i + 48. Let g be k(-3). Suppose -7*l - g = -16*l. Solve 3*z - l + 1 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 25*s - 140. Determine y(9).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 56437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7726 + -3?\nAnswer: -7731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from fppppffppfapa.\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 5127.069 days?\nAnswer: 123049.656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -775792*-2.\nAnswer: 1551584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 3\/7, -13, -2\/19 in decreasing order.\nAnswer: 1\/2, 3\/7, -2\/19, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9924950.1 rounded to the nearest 1000000?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 190, 754, 1694, 3010, 4702, 6770?\nAnswer: 9214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -232*l + 418*l - 212*l = 624 for l.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s**2 + 3*s - 3304 = 0. What is s?\nAnswer: -59, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -55741156*p**3 + 47101187228*p**2 + 75705204*p + 30420.\nAnswer: -4*(p - 845)*(3733*p + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 + -3401?\nAnswer: -3411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -542265*h**4 - h**2 - 5301*h - 44 wrt h.\nAnswer: -6507180*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 23\/4367?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + o - 2*o**2 - 4*o**2 + 7*o**2 + 4*o**2 - 3*o**2 as b*o**2 + m + s*o and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**3 - l + 11324. Let k be o(0). Suppose 4*g + k = -4440. Is ((-6)\/2)\/(21\/g) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r, 0*l = 3*l - 0*r - 3*r + 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 + -22. Suppose b - 192 = -3*b. Let f = b - o. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 5) + (-3 + 1 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1579 + 79414656.02.\nAnswer: 79413077.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o + 2*o**2 + o**3 + o**2 + 2*o**3 - o. What is g(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -254011, -1016029, -2286067, -4064125, -6350203?\n\"Answer: -254010*f**2 + 12*f - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2091857649?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108 - 88 = 5*c + 3*x, 28 = 3*c + 5*x for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 4 - 19*h**2 + 8*h + 7*h**2 + 10*h**2 + 3 - h**3. Let t be v(-5). Is (-4)\/(-6) - (-7)\/(t\/116) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -q - 3*q. Let p be q\/(-3)*(-9)\/(-2). Is (153\/p)\/((-6)\/(-4)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 5:13 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**5\/60 + o**4\/3 + 17*o**3\/6 - 10*o**2. Let r be q(-9). Suppose 6*g + r = 212. Is 5 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((0 + sqrt(2448))*4 - (sqrt(2448) + 0 + -4))*6*-1 + 5)*-4)**2.\nAnswer: 131328*sqrt(17) + 12696208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 9d37?\nAnswer: 9d34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (8\/(-5))\/((-12)\/210). Let s = i - -36. Is 19 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1169440580 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*n + 47*n + 11563 = 47547. Solve n = 3*g + 211 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -10 + 37 + -30.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/4529, -0.3, -3\/29 in decreasing order.\nAnswer: -6\/4529, -3\/29, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*j - 90 = 86*j - 27*j for j.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 86 - 29. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + w - 151 = u, -3*u + w - 447 = 0. Let s be u\/18 - (-4)\/18. Let t = s - -16. Solve -o + t = -5*g, 3*o = 3*g + g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 149*l - 4951 = -9570 for l.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of -v**4\/4 + 4*v**3\/3 + 3*v**2\/2 - 52. Suppose 31 = 3*w + 16. What is m(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j - 14. Let y be (15\/(-15))\/(2\/20). Calculate the smallest common multiple of g(y) and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 248 and 88.\nAnswer: 2728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 103\/35966?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 24 = 3*n + 10*k, 0 = k + 6. Suppose u = -u + 10. Solve -v = -n + u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 1 - 2 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 + -88.5. Let m = 28 + h. Sort m, 2, -3.\nAnswer: -3, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 469 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**5\/5 + 924*u**4\/5 + 45722*u**3\/5 - 46644*u**2\/5 = 0.\nAnswer: -46, 0, 1, 507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 45\/(5\/1) + -3. Suppose -18*d + 16*d + f = 0. Sort 1, 5, d, -3 in decreasing order.\nAnswer: 5, d, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) -3 (c) 868\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 - 7*x + 16. Let z be k(7). Suppose 6 = -2*q + d, -5*d + z = -d. Is 40 a factor of (-9 - 39)\/(q*(-2)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 3*b**2 + 5*b - 2. Let n be k(3). Let l be (2 - 10\/2) + n. Suppose 0 = -t + 4. What is the greatest common divisor of t and l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u = -129 + 29. Let i be -1 + 10\/(2\/1). Suppose -t + b = -34, -i*t - u*b = -0*t - 104. Calculate the highest common factor of 12 and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w = -15*w + 1933 + 580. Calculate the remainder when w is divided by 104.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -11) + (0 - -1) + -4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1276.92 months to centuries.\nAnswer: 1.0641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -225 = 17*u - 225. Solve u = 4*c - 6*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 528 divide 238988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-three eighths of a kilogram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 289*x**2 - 1445*x + 2. Let k(y) = 866*y**2 - 4331*y + 7. Let g(n) = 2*k(n) - 7*q(n). What is the second derivative of g(z) wrt z?\nAnswer: -582","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -68079790 divided by -5?\nAnswer: 13615958","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, -1, 329.6 in ascending order.\nAnswer: -1, 3\/8, 329.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 187*s - 185. Let u be h(1). Suppose -10 - 11 = -3*g. Suppose -3*y - g = -19. Solve 2*b - y*t = b - 9, -u*t + 4 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11*d**2 + d**2 - 7*d**2)*(-4 + 4 - 3) + 3*d**2 - 6*d**2 + d**2 as k + z*d**2 + s*d and give z.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2824 - 0.28226113. What is j rounded to 5 dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3060744 times 0.4\nAnswer: -1224297.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15.133 - 18.133. What is the nearest to -0.2 in 1\/2, -2\/369, -1, c?\nAnswer: -2\/369","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 331295 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 3088.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17148971 - 17148971 + 130*f**3.\nAnswer: 130*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(600)\/sqrt(6))\/(-6*sqrt(6)\/sqrt(3)).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v**2 + 545*v**3 + 11*v**2 + 580*v**3 - 5*v**2.\nAnswer: 1125*v**3 + 8*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 0.7082877 microseconds?\nAnswer: 0.000000011804795","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhohhhhooo?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-15)\/(-4))\/(5\/20). Let f = h + 38. Is f a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/9 - 550*t**2\/3 + 1102*t\/3 - 1654\/9 = 0. Calculate t.\nAnswer: -827, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59008.4 millilitres to litres.\nAnswer: 59.0084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/11524 and 17\/270?\nAnswer: 1555740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 257 = -103. Suppose 4*k - 5*k + 4 = 0. Let p(x) = -x**3 + 5*x**2 - 2*x + 1. What is the remainder when b is divided by p(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in -1.3, -4\/5, -3, 5\/3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -61*s + 552 - 3 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -29*k + 54*k - k**3 - 1 + 6*k**3 - 28*k as o*k**3 + q*k + i*k**2 + a and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7901730 take away -427.565?\nAnswer: -7901302.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sywo when four letters picked without replacement from {w: 2, s: 3, v: 1, o: 4, h: 2, y: 2}.\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78877 is divided by 25906?\nAnswer: 1159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 393563928?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -4, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 159315 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: 8 - 27\/((-1512)\/(-385))\nAnswer: 9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1695 divided by -4379?\nAnswer: 1695\/4379","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ipizpiiiniipii.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-12)\/(-20) - 18\/5. Let i be -3 - ((-4 - f) + -1). Let s = 14 - 55\/4. Is i != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 83\/5710?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 168 = 19*s. Let x(d) = -2*d - 5*d - 10 + s + 3*d**2 + 5*d. Determine x(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22.36 - -11.5. Let b = -11 - i. Let c = b - 0.1. What is c rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - (-11 - -12)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3303 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -3*a + 24. Let y be ((-9)\/a)\/(1\/(-6)). Suppose 0 = -y*k + 10*k - 11. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9}. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 3*a - 12. Let j = 1 + a. Solve 0*t = j*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/10)\/((-1)\/(-2)*3\/21)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 282166.65 months to years.\nAnswer: 23513.8875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 5*z**2 + 5*z + 4. Let a = 231 - 223. What is the remainder when h(5) is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -6\/17 (c) 5 (d) -1\/5 (e) -52.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z**3 + 11580*z**2 + 3938264*z - 92289120 = 0. Calculate z.\nAnswer: -2497, -420, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pr when two letters picked without replacement from {r: 1, d: 1, s: 1, f: 1, p: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*p + 13*p + 3*p)*(-1 + 1 - 4*p**2) + p - p - p**3 + 5238*p**2 + 2*p**3 - 2*p - 1 - 5247*p**2 + 2 in the form a + t*p**3 + m*p + f*p**2 and give t.\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i + 82. Give f(-19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3756078893 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 129916568 and 2968.\nAnswer: 424","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 3*p**2. Let h(y) = -16*y**2 - 10*y + 10. Let k(q) = 5*q**2 + 3*q - 3. Let o(n) = -3*h(n) - 10*k(n). What is d(o(s))?\nAnswer: 12*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -2*h**2 - 5*h + 146. Let n(x) = 2*x + 564. What is o(n(f))?\nAnswer: -8*f**2 - 4522*f - 638866","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 754 and 324.\nAnswer: 122148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p - 15*p = 0. Suppose -12*m - 132 + 2472 = p. List the prime factors of m.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**2 + 7*h - 3. Let t be u(6). Let l(j) = -t*j + 0*j + 0*j. Let n(r) = 7*r**2 - 7*r**2 - r**2. Give n(l(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d - d + 2*d)*(-d + d - 2*d**2) + (40 - 92 - 54)*(-18*d**2 - 4*d**3 + 18*d**2).\nAnswer: 422*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4 - -2)*24. Let k = m + -22. Let c be (-4 + k)\/((-4)\/(-6)). Let s(w) = w**3 + 2*w**2 - 5*w - 3. What is s(c)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 + 124 + 5*b**2.\nAnswer: 5*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-100)\/55 + (4 - 2). What is the biggest value in -0.2, 0, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1222121031 (base 4) to base 10\nAnswer: 435789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -18*o**2 - o + 2. Let v be x(0). Suppose -121 = -3*m + 4*w + 5, 126 = 3*m - v*w. What is the lowest common multiple of m and 35?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 + 8*s + 12. Let v be h(9). Suppose v*d = p - 20, -4*p + 11 = -4*d - 29. What are the prime factors of 6\/d*(-105)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-31)\/11 + (-28)\/154 - -3. Which is the fourth biggest value? (a) -0.05 (b) f (c) -4 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.711737 millilitres in litres?\nAnswer: 0.002711737","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.925637 to two dps.\nAnswer: 6.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/2)\/((3 - 1)\/24). Is (1126\/(-4))\/(6\/r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 2 + 4)*(-u - 2 - 4*u + 3*u)*(-2*u + 4 - 4) to the form i + a*u + t*u**2 and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 102614455 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3624203?\nAnswer: 11, 329473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 3) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-554)\/(-8))\/((-46)\/184). Let a = -208 - k. What is the remainder when a is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 87, 180, 275, 372, 471, 572?\n\"Answer: l**2 + 90*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 364340233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 0. Suppose b*r = 2*r - 130. What is the tens digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5448 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 758\/5 + -6229\/40. What is the common denominator of 33\/10 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1\/4 + ((-399)\/28 - -18) and 250?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 3 = -2*t. Let k(c) = -26 + 16 - t*c - 2*c - c**2 + c**3. Calculate the remainder when k(5) is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 times -0.32?\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7351834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1278153\/563 >= 2271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*n - 1182 = -2170 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 96, 33, -72, -219, -408?\n\"Answer: -21*i**2 + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6507, -3, 194, -4.\nAnswer: -4, -3, 194, 6507","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0055246 to 3 dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 1) + (6 - -4 - (-63 + 58))?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 + 6*t**2 - 11. Determine z(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 24*c - 21*c. Suppose 5*o = -3*l + o + 56, 0 = 4*o + c. Calculate the remainder when l is divided by 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 3*r + 1. Let v = 5 - 6. Let w be 3\/v*-1*-1. Give x(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.245 - 11.31. Let p = r - 0.035. Let h = -4.144 - p. What is h rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25108 - 42*b**2 - 25108.\nAnswer: -42*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 270 + -274.97. Let d = a + 4.96999403. Round d to seven dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + 0. Let u(r) = 2*r**2 + 2*r + 1. Let c be u(l). What is the common denominator of -39\/8 and c\/(-4) + 1 - 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from {t: 1, o: 4, i: 2, n: 4}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 364 by -1.\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 111545251 (base 6) in base 3?\nAnswer: 10212020001211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -85256880.2456986 - -85256895. Let w = -0.1469586 - v. Let o = 14.9 + w. Round o to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as 87929503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/((-75)\/(-20)))\/((-256)\/3328)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.63? (a) -4 (b) 0.02 (c) 5 (d) -0.1 (e) 0.5 (f) -13\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1240000 = -4*w - 2*f, 2*f - 310000 = w - 0*w. What is w rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 666, 804, 942, 1080?\nAnswer: 1218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2372 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 202 (base 3) to base 6\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-6) + 175\/(-75).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10439 is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18563 = 19*c - 14*c + w, 0 = 4*c - w - 14854. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -302 - -4?\nAnswer: -287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 + 23.00000052. What is o rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4564 + 1168387\/256. Let l = 3 + -2. Which is bigger: l or p?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 + 17*p**2 + 245*p - 284. Let z be j(26). Suppose -3\/5*d**z + 1\/5*d**4 - 1\/5*d**3 + 1\/5*d + 2\/5 = 0. What is d?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 11:10 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**2 + 28590150*r + 68116389751875.\nAnswer: 3*(r + 4765025)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5573 - -122641\/22. Calculate the common denominator of j and 35\/438.\nAnswer: 4818","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 10*j**2 - 2*j - 20. Let m be g(-10). Suppose 24*o - 26*o + 136 = m. What is the highest common divisor of o and 374?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 358531 to the power of 1\/2, to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102888444, -205776888, -308665332?\nAnswer: -411553776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes before 11:02 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452178.\nAnswer: 2, 3, 25121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/2760 and -62\/1359?\nAnswer: 1250280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 20*n**2 + 32*n - 16.\nAnswer: 4*(n + 2)*(5*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 0 - 1\/(52\/88*11).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003960292456 to seven decimal places.\nAnswer: 0.000396","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 294, 1, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - 164766753?\nAnswer: -164766756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 13 (b) 0 (c) 0.1 (d) -2\/151 (e) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of -t**4\/12 + t**3\/3 + t**2 - 11*t. Give a(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 124149078 or 124149077?\nAnswer: 124149078","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 14507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 + 55. Suppose 3*h = 7*h - 12. Suppose -6 - h = -3*p. Which is the smallest value? (a) p (b) v (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4246 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160 = -4*p - 32. Suppose -5*m - 4*n = 129, m - 2*n + 45 = 2*n. Let a = p + m. Solve a = -0*w + w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {e: 6, z: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 31226, 60728, 90234, 119744, 149258, 178776?\n\"Answer: 2*d**2 + 29496*d + 1728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15000451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4419 a multiple of 491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3841374 divided by -13.\nAnswer: 3841374\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1048930050 and 4254.\nAnswer: 4254","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1897354, -1897308, -1897260, -1897210, -1897158?\nAnswer: -1897104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-5))\/((-1001)\/11440)*(-7)\/2.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 146 and 657?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(296\/78) + (-2)\/8)\/(221815\/(-665445)).\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12190457*l - 18599120.\nAnswer: 12190457","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p + 5*p)*(0*p - 3*p**4 + 0*p).\nAnswer: -21*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*u = 0. Let o be 277\/24 - (-3 + u). Let k = o + 125\/24. Calculate the common denominator of 61\/4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 17*g - 8. Let d be o(3). Let c = 46 - d. Suppose -3*h = 2*q - 238, 0 = h + c*q - 82 + 5. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 1870\/102)\/(14\/30).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3682*h = -10331*h + 897615 for h.\nAnswer: 135","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 + 96 = 3*t. What is the remainder when 10 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -307*o**3 + 32*o - 2 + 454659*o**2 - 454659*o**2 - 41*o as m*o + r*o**3 + w + s*o**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 435.4 - 435. Let q(f) = -f**3 + 4*f**2 - 2*f + 3. Let i be q(4). Which is the fourth smallest value? (a) -2\/5 (b) -1 (c) w (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.9 + -5.2. Let h = x + -15.7. Let r = h + 8. Which is the nearest to 0? (a) r (b) 2\/9 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -12 - -21. Let i be (-2 + p - 4) + 35. Let l = -17 + i. Calculate the greatest common divisor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 7 + 8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of u**4\/12 - u**3\/6 + 20*u**2 + u. What is the remainder when l(0) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**4\/s)**(-2\/63)*s**15*s*s**(1\/3))**(-45) assuming s is positive.\nAnswer: s**(-5115\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 862170 and 1126767?\nAnswer: 2973","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sss when three letters picked without replacement from svsvvsssssssnsnvvsss.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 792 less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/53)*q\/(q**(-34)*q)*(q**(-28)*q)**(-30) assuming q is positive.\nAnswer: q**(44733\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23241 (base 7) to base 12.\nAnswer: 3546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/87 and -44\/376129.\nAnswer: 32723223","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, z: 2, m: 3, r: 2}. What is prob of picking 1 z, 1 r, and 1 m?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a + 4. Let p(h) = -13*h + 5. Let x(o) = 5*p(o) - 7*q(o). Let l = 28 + -34. What is x(l)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (115 - 2) + -1 - (-57 + -74 + 133)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 676*b**3*g**3 - 168063*b**3*y**2 + 3*b**2*g**2*y - 164*g**3 - 2050*g**2*y**2 wrt b?\nAnswer: 4056*g**3 - 1008378*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*3*2\/(-18).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 286, 1031, 2272, 4009, 6242, 8971?\n\"Answer: 248*n**2 + n + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 3*x - 2663 = -2689, -3*x + 5*x + x = -3*f - 36 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 3*f + 2, -15 = -5*x - 5*f + 15. What is the remainder when 13 is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -299 or -296?\nAnswer: -296","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/(2\/(-173))*2?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11498, -11502, -11508, -11516, -11526, -11538?\nAnswer: -11552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 33*t - 5. Let u = -27 - -52. What is the units digit of c(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1479*h**3 + 29*h - 12944*h**3 - 27*h.\nAnswer: -11465*h**3 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -742845 at least -742845?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c82c5 (base 14) to base 12.\nAnswer: -1729899","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 16*o - 15. Suppose -4*w + 68 = -2*l, l + 3 = -1. Let g be m(w). Suppose -n + 68 + 100 = g. What is the highest common factor of 24 and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b + 28. Let l be m(-14). Solve l = -3*u - 9, 5*g = -2*u + 5 - 21 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -k - 4*k. Suppose 5*q + 25 = 5*t, -3*t = k*q - t + 18. What is the biggest value in -0.5, -0.2, q?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(1331).\nAnswer: -4 + 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*l - 30*l = r - 25, l = 4*r - 10. Solve 2*q = l*m - 8*m, 3*m - 14 = -4*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12392, -24843, -37404, -50129, -63072?\n\"Answer: -9*y**3 - y**2 - 12385*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Add 105.29 and 2479.\nAnswer: 2584.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12\/11 (b) -3 (c) 4\/73 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 119\/8 in -2, -5, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v. Let a = 20 - 19. Let x(p) be the second derivative of p**3 - p**2\/2 - 527*p. What is a*x(q) + 4*b(q)?\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -141 + 111. Let j = y - -38. Solve 2*x + j = 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 572 - 326. Find the third derivative of -m*w**2 - 1 + 342*w**2 + 5*w**3 - 167*w**3 + 0 wrt w.\nAnswer: -972","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 18797*h - 5789484. Give y(308).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -101.7 + 7.7. Let m = k - -85. Let n = -21 + 61\/3. Which is the third biggest value? (a) n (b) -4 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirty-one fifths of a gram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 2*m**2 - 22*m - 19. Let v be y(8). Solve g - q + 9 = 0, g + 5*q - 5 = v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 282 - 17*s + 238 - 744 + 223.\nAnswer: -17*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kppsspkpcppmkkcckpp. What is prob of picking 2 c, 1 m, and 1 s?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01343471449 rounded to four dps?\nAnswer: -0.0134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7141 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 752351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10843.\nAnswer: 7, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 2.3. Let i = -3.02 + 3.12. Which is smaller: i or b?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = n + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11535460 and 4015?\nAnswer: 365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/(0 - -2))\/(12\/6). Does 18 divide -2 + 1890\/5 + s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 894 is divided by (-620)\/(-14) + (-14)\/49?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h - 1. Give t(8).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 227 - 342. Let j be 6\/(-5) + 1 - 35443\/r. What is the highest common factor of j and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 13 = 4*m, -6 = -m + g - 1. Solve 0 = -2*k + 2*c + 3*c + 11, -k = -c - m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (96 - 49 - 26)*(1 - 1 + 3)*(j - 5*j + 0*j) to v + p*j and give p.\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1100 - -4?\nAnswer: -1052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -18427*n + 25097559. Calculate c(1362).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**2*o)\/o)\/((o\/(o*o**(1\/5)))\/o)*(o*o**(1\/4)*o)**31)\/((o*(o*o\/o**(-4\/11))\/o*o)\/o**(-6))**(6\/13) assuming o is positive.\nAnswer: o**(199137\/2860)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k = 33. Suppose 0*c = -2*c + 6. Suppose 66 = -0*v + c*v - 4*i, i = -2*v + 44. What is the highest common divisor of k and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 - 33 - 47)*(4*k**2 - 4*k**2 - 4*k**3) in the form i*k**2 + l*k**3 + r*k + f and give l.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -1. Let d(y) = y**2 - 9*y + 3. Let b(z) = -d(z) + 2*n(z). What is the units digit of b(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.13377 - 4.0549. Let t = s + 0.914. Round t to 4 decimal places.\nAnswer: -0.0071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/6 (b) -0.3 (c) 3 (d) 0 (e) -504\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 126*w**2. Suppose 20*k + 180 = 5*z + 16*k, 5*z - 2*k - 190 = 0. Let p(y) = -z*y + 40*y - 2*y**2. Give p(v(l)).\nAnswer: -31752*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 31 = 157. Let n = u - 34. Let m be (n\/10)\/(8\/(-20)). Let s(v) = -2*v + 5. Determine s(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lh when two letters picked without replacement from hhiiffhfhlhl.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + j - 1. Let s(q) = 4*q**2 + 12*q - 8. Let b(i) = 40*n(i) - 5*s(i). What is the second derivative of b(u) wrt u?\nAnswer: 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33241?\nAnswer: 13, 2557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8446863*b**2*l**2 - b**2*l + b**2 - 180135*b*l - b wrt l.\nAnswer: 16893726*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -53190*q + 319173. Calculate g(6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 142*l - 295*l + 140*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2339 - 9279\/4. What is the common denominator of s and (16 + -18)*113\/48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07 * 2.35\nAnswer: -0.1645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/60*(20 - 24).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (-8 - (-1 + -5)) + -12?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/(-120) + (-4)\/6)\/(49\/(-56)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 1 = 5, -5*j = -m - 18. Suppose m*p + 3*p = 15. What is the lowest common multiple of 4 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 + 2*d. Let y be f(3). Let q = y - -4. Is 12 + (q + -2 - -1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1555521?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 40 = 5*j, 2*j - 4*u + 21 = -3*u. Which is smaller: j or -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4, -493 in increasing order.\nAnswer: -493, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*j - 3 - 6 + 8)*(0*j**3 - j**4 + 0*j**3) + 5*j**5 + 3*j**5 - 6*j**5 + 6*j**2.\nAnswer: -7*j**5 + j**4 + 6*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3265*i + 1862*i + 1666*i - 611 wrt i.\nAnswer: 263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 59359, 59451, 59597, 59797, 60051, 60359, 60721?\nAnswer: 61137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 20. Let o = 11 + a. Suppose 0 = -z + 1, 0 = 2*g - 4*z + o*z - 3. Solve -4 = 2*l + g for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-33*c + 7 - 3 + 37*c)*(-9*c - 22*c + 45*c).\nAnswer: 56*c**2 + 56*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0285 * 15.16.\nAnswer: -0.43206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/((27\/54)\/(10\/(-4))). Suppose 0 = 10*x - f*x - 505. Does 8 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 1. Suppose 0 = 4*r - n, 0 = 2*m - r - r - 26. Let g = m + -9. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1532 and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*i - 42*i - 18*i as v*i + k and give v.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 303*c**2 - 3*c**5 - 356*c**2 + 323*c**2 + 81 + 33*c**4 - 138*c**3 - 243*c.\nAnswer: -3*(c - 3)**3*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(4\/(-10) + 16\/(-10))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6870 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-30)\/(-10))\/3*23. What is the highest common factor of 1219 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*h - 189*h + 12*h**2 - h**2 - 183*h.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u + 5*y - 2, -2*u + 6 = u + 4*y. Let d(g) = g + 2. Let k be d(7). Let j = k - 7. What is the remainder when u is divided by j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 9 = u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 216361327.\nAnswer: 7, 13, 61, 38977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18 + 2784?\nAnswer: 2802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 8067*y + 38082. Calculate z(-5).\nAnswer: -2253","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1350 and 6250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54 + (-36 - (55 - 52)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7750 or -7751?\nAnswer: -7750","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5\/7 + 15*y**4 - 738*y**3\/7 + 696*y**2\/7 + 6816*y\/7 - 14976\/7 = 0.\nAnswer: -3, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g\/(g\/(g\/g**(-1\/5)*g))*g))**(-28\/9)\/(g\/g**(1\/3)*g\/(g\/g**7)) assuming g is positive.\nAnswer: g**(103\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-22))\/(((-20)\/(-5))\/2).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -76913, -4, 148 in increasing order.\nAnswer: -76913, -4, 148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, -2, 0.22, 41996?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2599355179 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15864, -19028, -22192, -25356, -28520?\nAnswer: -31684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-1))\/((-204)\/136)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**3 + 6 - 5*l + 7 - 13 in the form b + v*l**3 + p*l**2 + s*l and give s.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158 - 152. Calculate the remainder when 5*(-1 - 19\/(-5)) is divided by a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaqspqaa. What is prob of sequence qpa?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -65 + -3?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 6 - (0 + 2 + -4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a week?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -402 - 2*v - 236 + 636 + 0*v - 10101*v**2 in the form g + z*v**2 + j*v and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17101 plus 3.7?\nAnswer: -17097.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 146155?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -10*q + 5*q - 10, 0 = -w - 5. Put q, 8, 111 in decreasing order.\nAnswer: 111, 8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50 divided by 225.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -14 or -472\/33?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 4, -352\/1811?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -639 = 17*o - 26*o. Let w = o - 68. What is the second smallest value in w, 2\/7, 2\/21?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 0*q + 0*q**5 + 0*q**4 - 16 + 4\/3*q**6 + 0*q**3 + 5\/2*q**2. What is the second derivative of g(o) wrt o?\nAnswer: 160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/13 - 230\/(-195). Which is the third biggest value? (a) -4 (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2369704 or -2369707?\nAnswer: -2369707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - i**2 + 5*i**2)*(-901*i**2 + 901*i**2 + 85*i**3 + (i**2 + i**2 - 4*i**2)*(-2 + 2*i + 2) + i**3 + 2*i - 2*i + 2*i**3 + 2 - 2).\nAnswer: 168*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 0.23, 89?\nAnswer: 89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 2)*(9*j - 25*j - 13 + 6)*(j - 4*j + 0*j).\nAnswer: -144*j**2 - 63*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*r - 146, 2*r = r - h - 74. Let s = r - -73. Let y be s\/((-10)\/457) - 8\/20. Do y and 91 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 29. Let x(k) = 4*k - 4. Let n(m) = -1. Let z(s) = -3*n(s) + x(s). What is the units digit of z(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/3)\/j)**(2\/9)\/(j**(-1\/5)*(j**(1\/2)*j)\/j))\/((j**(-6)*j\/(j\/j**(-1\/8))*j)\/(j**(2\/7)\/(j**1\/j))) assuming j is positive.\nAnswer: j**(35837\/7560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.068, -25, -3 in decreasing order.\nAnswer: -0.068, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1995568?\nAnswer: 2, 191, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28321148*n**3*v - 32*n**2*v + 2003*n**2 + 33*v - 1 wrt n.\nAnswer: 169926888*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*123985.722.\nAnswer: 619928.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -200097364 and 0.495?\nAnswer: 200097364.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 AM and 5:48 AM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2441*z**2 - 2443*z**2 - 97*z - 111*z + (-1 + 4*z + 1)*(4*z + 2*z - 5*z).\nAnswer: 2*z**2 - 208*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 6:09 PM?\nAnswer: 8:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/3 - 2876*x\/3 + 2067844\/3.\nAnswer: (x - 1438)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 50805720 divided by -6?\nAnswer: -8467620","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -13 (b) 1\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(20\/6 + -3). Let c = 6 - 3. Suppose -3*w - 11 - 49 = -c*p, w = o*p - 64. Calculate the lowest common multiple of 2 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 z when two letters picked without replacement from {z: 2, i: 7, r: 2, m: 1}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -1\/3, 33.59 in ascending order.\nAnswer: -1\/3, 11, 33.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -85 - 419898a?\nAnswer: -4198a64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -63\/5 (b) 0.013 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/2*180\/50. Suppose 2*i + 35 = f*i. Find the third derivative of 5*m**2 + 60 - 60 + 10*m**i wrt m.\nAnswer: 600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mjrmrjrmjjrjmrr. Give prob of sequence rj.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*k = -9*k - 76 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (136\/64)\/((-6)\/48).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8912 + 8913. Is w <= 2.519?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 141 + -131. Suppose -4*k = -9*k + u. Solve p = -k*p - 2*b + 7, b - 7 = 2*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2162 - 2163. Let o(i) = -i. Let c(m) = -5*m - 1. What is r*c(y) + 4*o(y)?\nAnswer: y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 6*j**2 + 5. Let b(k) = 13*k**2 + 9. Let g(q) = 2*b(q) - 5*v(q). Let d(i) = -5*i**2 - 8. Calculate 6*d(n) - 7*g(n).\nAnswer: -2*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/5 - 7175266*v**3\/5 + 6435558858976*v**2\/5 - 6435551683712*v\/5.\nAnswer: 2*v*(v - 1793816)**2*(v - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3291552335 to the nearest integer?\nAnswer: 57372","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 33146.38 and 9421.\nAnswer: 42567.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microsecond in nanoseconds?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of q**2*t*y + 29910237*q**2*t - 18*q*t*y - 6*q - 104*t*y + 22*t - 3*y wrt q?\nAnswer: 2*t*y + 59820474*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r. Let x(d) = 2 + 18*d + 21 - 5 - 5*d**2 + 6*d**2. Let s be x(-18). Let i(q) = -s*q**2 - 242*q + 1 + 242*q. Determine b(i(a)).\nAnswer: -18*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*x**3 + 69*x**3 - 26*x**3.\nAnswer: 11*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*i = 26*i + 27*i + 3*a - 29, -27*i - 93 = -5*a + 50 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 7 = -3*s, 4*s - 5*o = -0*o + 32. Suppose -52 = -9*r - 34. Put -1, s, r, -5 in decreasing order.\nAnswer: s, r, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248 + 269 - (41 - (-1 - 1)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 298\/13 or 22?\nAnswer: 298\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -71.479 rounded to zero decimal places?\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 6:51 AM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -24, 5, 0, -1 in increasing order.\nAnswer: -24, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t + 4. Let j be 2\/(-2 + 5\/2). Let b be w(j). Suppose 2*p = 4 - b. Let s(c) = 10*c**2 + 6*c - 1. Let y(k) = -3*k**2 - 2*k. What is p*s(l) + 7*y(l)?\nAnswer: -l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.09 - -5.09. Let v = 9.04 - 0.04. Let z = v - p. Which is the closest to 0.1? (a) 2 (b) 0.3 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 965326.6 millennia in years?\nAnswer: 965326600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + (-17 - -33) - -17?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -133122021 (base 4) to base 11\nAnswer: -88724","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -33831, -135927, -306159, -544521, -851007, -1225611?\nAnswer: -1668327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 21509.14219 to the nearest one hundred.\nAnswer: 21500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -323 (base 7) to base 3.\nAnswer: -20002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = 5*n + 11, -5*k + 0 = 10 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 14. Let s = -9.04 - m. Let l = s + 0.44. Which is the nearest to 1? (a) l (b) -3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - (-1 + 2)) + (36 - 34)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 16 = -s + 2*i, -15 = 5*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Let j = m + 4. Let w(t) = t - 3. Let a be w(j). Solve -a = -n + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6552282*a. Let i(s) = -2*s. Determine r(i(k)).\nAnswer: -13104564*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2134 - 2146. Let a = -3 - -9. Suppose -4*g = 4, a*g - g + 60 = -5*b. Does z = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * -48722002\nAnswer: -2923320.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3438, 3439, 3440?\n\"Answer: r + 3437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12 - 14 - 23*t + 13 - 4 - 47 to g + x*t and give x.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4990*(4 - 68\/20). Suppose -3*p - h = -3*i - 798, 5*p - 1464 = -2*i. List the prime factors of i.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20\/9 + -118\/45. Let x = -0.9 + 1. Let k = 0.2 + -0.3. Which is the nearest to k? (a) x (b) -1\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j - 12. Let g be o(5). Let q = 17 + -2. What is the remainder when 0\/(-1) + (59*g)\/(-2) is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*a + 19*a + 22 - 62*a + 21*a to u*a + i and give i.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = 4*m + 3*i - 551, -3*m = 3*i - 492. Let u be (-206)\/((-6)\/(-500)*4\/m). Round u to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 3 = -3*z, -w + 5 = 5*z - 4. Solve 5 = -3*s + 5*t - 17, 3*t = -2*s - z for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4165 - 522. What is the hundreds digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3\/41 - 91\/123. What is the nearest to 3 in z, -1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, r: 1, d: 2, v: 1, k: 2, h: 1}. Give prob of sequence hk.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1572 = -d + c, 6*d + 2*c + 1572 = 5*d. Put -4, d, -3 in decreasing order.\nAnswer: -3, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -106 and -4?\nAnswer: 424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1711266 + -0.05.\nAnswer: -1711266.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*sqrt(252) + 4.\nAnswer: -1 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 87217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 384*x**6 + x**4 + 28*x**2 - 4*x?\nAnswer: 46080*x**3 + 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 0) + (-128 - -107)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 + 3*c**4 + 5*c**4 + (-3*c**3 + 2*c**3 - c**3)*(c - 2*c + 2*c) - 3*c**4 + 0*c**4 + c**4.\nAnswer: 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (2 + 20) - (-22 + 13)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -1. Let g = -1 + m. Is (3*66\/(-9))\/g a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*q**2*w**3 - 4*q**2*w**2 - 244*q**2*w + 5*q*w**3 - 212*q*w**2 + 3*q*w + 502280*w**3 wrt w?\nAnswer: -12*q**2 + 30*q + 3013680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70506?\nAnswer: 2, 3, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 4*u**3\/3 - 194*u**2 + 384*u + 200. Solve g(o) = 0.\nAnswer: 1, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 8*f**2 + 3*f - 2. Let o(w) = -7*w**2 - 2*w + 2. Let u(d) = -5*o(d) - 4*s(d). What is the lowest common multiple of u(-1) and (-1)\/(2\/(-22) - 0)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Let q(t) be the third derivative of t**4\/8 + 2*t**3\/3 - 3*t**2. Let f(p) = -p - 2. Let o(b) = 2*f(b) + q(b). Calculate w(o(z)).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 21*d - 26*d, 0 = 4*g + 3*d - 302. Suppose -75*f = -151 - g. Let w = -2 - -3. Solve 5 = -f*c - w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.358 and -0.062304?\nAnswer: 0.022304832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 495 - 1543 - 847 = 69*f + 175 for f.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 1, x: 2, v: 1, h: 11}. Give prob of picking 1 h, 2 x, and 1 e.\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 3*y**2 - 18*y - 5. Let w be j(-6). Let p(l) = 5*l - 1. What is p(w)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*g - 565 = -46*g + 83. Let d(s) be the first derivative of 34 - g*s + s**3 + 3\/2*s**2. What is n in d(n) = 0?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + f - 25 = -5*m, -4*m - 5*f = -23. Let s be (-6)\/((-2)\/4*3). Solve -2*w - s = -m for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241.2 rounded to the nearest 10?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*k + 195*k - 34*k - 24*k.\nAnswer: 208*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 1103616.\nAnswer: -1\/367872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1986 - -1994. Suppose -3*w + w = 0. Suppose w = -16*c + z*c. Solve c = -4*g + h + 2*h + 1, -4 = -4*g + 4*h for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.1 and 0.10502?\nAnswer: 0.115522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 11\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 14334*l*v**2 - 133*l*v - v**2 + 21*v + 56139 wrt l?\nAnswer: 14334*v**2 - 133*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oorr when four letters picked without replacement from rrorrrro?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**5*l)*l)**36*((l\/l**16)\/l)\/l**3 assuming l is positive.\nAnswer: l**(-127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of a**5\/300 - 7*a**4\/60 + 49*a**3\/30 - 19*a**2\/2 + 9*a. Let l(t) be the first derivative of j(t). Factor l(d).\nAnswer: (d - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-42)\/(-5) - (-1 + 35\/25). Let i(l) = -4*l**3 + u + 5*l**3 - 7 - l**2. Let w(x) = -20*x**3 + 3*x**2 + x - 3. Let y(v) = -3*i(v) - w(v). What is y(1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2)\/1*(-21)\/((-315)\/(-1)).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 576.9 and 4.\nAnswer: 2307.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12340 and 7404.\nAnswer: 37020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15230 is divided by 59.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (231\/22 - 11) + 2 + -2. Which is the closest to 1.4? (a) 0.2 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -454, -416, -398, -412, -470?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1396*h = -1421*h - 275 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.05 greater than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42479 is divided by 6537?\nAnswer: 3257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18952*b**2 + 0*b**3 + 22335*b**2 + 2*b**3 + 2.\nAnswer: 2*b**3 + 41287*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.19 + -0.09. Let g = -0.1 + 0. Sort r, -1\/5, g in descending order.\nAnswer: r, g, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 85\/484 and 47\/294272.\nAnswer: 294272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -103518 greater than or equal to -1138696\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**4 + 3158888*l**3 + 6317852*l**2 - 47383296*l - 113720256 = 0.\nAnswer: -3, 4, 789724","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 + 6*x**2 + 3*x + 12. Let z be u(-3). Calculate the highest common factor of 45 and z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -4 and 1.02167.\nAnswer: -2.97833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 155497841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 19*d**2 - 35*d - 16. What is r(17)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 236.16, -1, -0.05?\nAnswer: 236.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 51 = 18*h, -2*h - 2*p - 15 = -3*h + 4*h - 4*p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjjjrqjrjwsjsssssjj. What is prob of sequence swq?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -26.8 - -24. Let r = -4.8 - g. Which is the nearest to r? (a) 1\/7 (b) -0.4 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 155779?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2209 and -0.7.\nAnswer: -2209.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56 (base 10) to base 8.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**2 + 24*n + 1. Let a be c(12). Let j be 5*(a\/(-4) - 105\/(-100)). What are the prime factors of (-7 + j + -6)\/(1\/(-12))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*c - 8, 2*s = s + 2*c + 6. Suppose -l + 3*x = 214, -1122 = 5*l - s*x + 2*x. Let g = l + 2263\/10. What is the common denominator of g and 9\/2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 542 - 542. Solve -22*f - 66 + 0 = y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95947998 to the power of 1\/5, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (276\/(-6))\/(2*-1). Suppose a*d = 8*d + 75. Suppose -3*r + 9 = 5*g + 2, -r - 5*g = 1. Solve 5*t + d*m = 15, -4*t + r*m = -m + 33 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**3 - 8*n**2 - 4*n - 1. Let r(h) = -5*h**3 + 9*h**2 + 4*h. Let d(k) = -6*q(k) - 5*r(k). Let o be d(-2). Solve 0 = -3*z + o*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-216))\/(2\/3). Let z = 49\/72 - k. What is the smallest value in z, -0.4, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) -20 (c) 29.7 (d) -0.3 (e) -2\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/2)\/((-1)\/(-2)). Let z be 5\/(v\/(-3))*6. Suppose z*f - 10*f = -38. Is 8 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 12*p**3 - 2*p**2 + p. Suppose 11*w - 20 = 6*w. What is the remainder when k(1) is divided by w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1348728.\nAnswer: 2, 3, 56197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + 31. Calculate the remainder when a is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 768 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*t + 12 - 27 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/((-1056)\/(-10)))\/(10\/12)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-82 - 136 + 101 + 6*b)*(5*b**3 + b**3 - 5*b**3) to o*b**3 + h*b**4 + a*b**2 + k + s*b and give h.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -0*m + 3*m - 4*v, -m - 3*v = -5. List the prime factors of (-8)\/m*(-1)\/((-3)\/57).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -282, 8454 in descending order.\nAnswer: 8454, 9, -282","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -27 + 4 - 129*u - 233*u. Let s = 14 - 20. Is v(s) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(832) + sqrt(832) + sqrt(832) + 0 + 1 + -2 + (-2*sqrt(832) + -3 + -2)**2 + 1.\nAnswer: 184*sqrt(13) + 3353","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7344)*-1*3)\/(5*(sqrt(3) - (sqrt(12) - -2*sqrt(12) - sqrt(12)))).\nAnswer: 12*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24028 is divided by 2883?\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -3. Let r(d) = d**3 + 4*d**2 - 2*d - 4. Suppose -q + 7 = -n, 0 - 5 = 5*n. What is the remainder when r(i) is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/866005 and 53\/1221260.\nAnswer: 931821380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/8)\/((-10)\/(-378852)). Let l = 14210 - w. What is the common denominator of 15\/2 and l?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 + 5*a + 4. Let h be o(-5). Suppose 0 = b - h - 11. Solve -7*y + b = -2*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501 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: What is the ten millions digit of 86181742?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 7*i + 751. Let w be f(-70). What is the greatest common factor of w and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-6)*-1*0\/(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k + 8, -3*k + 2*k - 10 = 3*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -31, -2\/3, 7, -2\/5, -414\/7?\nAnswer: -414\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*y - 16. Let u be (-3)\/9*y - -4. Suppose r = u*r - 288000. Round r to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -55\/69?\nAnswer: -55\/69","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15178993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3462 - -3461.941. Which is smaller: f or 1.8?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112881433 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(-1)*(0 - -3 - 27). Let i be 4\/j*11 + 2\/(-6). Let x = -3.47 - -2.47. Which is the fourth biggest value? (a) x (b) -1\/9 (c) i (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4602 - 4601. Solve -8*i = h + 23 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -288.005 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 7*f + 2. Let z be (9\/12)\/((-2)\/16). Let y be s(z). Let n = 2 - -2. Sort 2, n, y in increasing order.\nAnswer: y, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1841 + -1873.31. Let s = p + 28.2. Let r = s + 4.1099643. What is r rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, 4, 76, 224, 472, 844?\nAnswer: 1364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 + -3. Suppose -8 + c = 4*u. Let z be (1\/(-3))\/((-4)\/(-24)). Is u less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*y + 136*y = -257*y - 8058 for y.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tmej when four letters picked without replacement from nmnemmjbmjnmmjmttm.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/7)\/(-2))\/((-24)\/(-12)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 e when two letters picked without replacement from {e: 1, p: 1, c: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 5*v**3 - 3*v + 6*v**3 + 2*v - 4*v**3. Let i be k(1). Factor 12 + 3*z**4 + 5*z + 0*z**4 + 13*z - 6*z - 9*z**2 - i*z**3.\nAnswer: 3*(z - 2)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5871 and 19437.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3)*l\/l**2)\/((l**(2\/3)\/l)\/l)**(-35))\/(l**(1\/7)\/(l\/((l*(l**(3\/7)\/l)\/l)\/l))*(l\/(l*l**(-2\/3))*l)**(-2\/49)) assuming l is positive.\nAnswer: l**(-6542\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -993, 4, -2\/17?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -63 - -12. Let h = t - -234. What are the prime factors of h?\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -328 (b) -3\/4 (c) -0.4 (d) -5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2782487 + 0?\nAnswer: -2782487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6)*(-33)\/55\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-113)\/55 - (-1 - (-85)\/187)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*h - 15*h - 7*h)*(-2 - 2 + 3) + 4*h + 0*h - 3*h + (-h - 4 + 4)*(-5 + 4 + 0) + (-h - 9*h + 3*h)*(-5 + 3 + 3) + (-2*h + h - h)*(-5 + 3 + 3).\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 + 3231.372558.\nAnswer: 3230.972558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*975.81169.\nAnswer: -487.905845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 1107?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -217, -467, -713, -955, -1193, -1427, -1657?\nAnswer: -1883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) 3\/7 (b) -4\/9 (c) -6\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -4*r**2\/7 - 4*r + 120\/7 = 0.\nAnswer: -10, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38760 divided by 6460.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0028884 times -0.11?\nAnswer: 0.000317724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -35*s + 384. Let c be 1 + 1 + -1 + 0. What is the units digit of (-4 - 0)*c + s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166789 is divided by 702.\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + -1a3?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 6*c**2 + c - 2. Let j be o(6). Suppose -15 = -0*h + 5*h, -i + 4*h + 20 = 0. Solve -i = -3*s + j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 92465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*(sqrt(20)\/(-1*sqrt(5)))\/sqrt(2) + 0)**2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, g: 1, d: 1, n: 10}. What is prob of picking 1 g, 1 n, and 1 y?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(468) + 1*(sqrt(52) + sqrt(208)\/sqrt(4)))*-4)\/(6*-6*-4*sqrt(144)).\nAnswer: -5*sqrt(13)\/216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -993*a - 96 = -961*a. Put a, 291, 1, 3, 4 in decreasing order.\nAnswer: 291, 4, 3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*((h\/h**(-7))\/h)\/h)\/h)\/h*h**(-13\/4))\/(h**6)**27 assuming h is positive.\nAnswer: h**(-641\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5 + 17*f**4 + 340*f**3 - 9830263*f**2 wrt f?\nAnswer: -60*f**2 + 408*f + 2040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = 3*a - o, -4*a + 1 - 3 = 3*o for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5.4 (b) 10 (c) 0 (d) -103 (e) 5 (f) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 5 + -6 + -4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17539380473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1091867\/132 - 8272. Calculate the common denominator of 103\/192 and a.\nAnswer: 2112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35326 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3 - -1. Let n = -41 + 46. Suppose 21*z - n = 20*z. Sort x, z, -2 in ascending order.\nAnswer: -2, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) 0.32 (c) -0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0.5, 0.3, 11 in descending order.\nAnswer: 11, 1, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 5*t - 1 = -5*x, -3*t = -3*x + 3. Put -5, -4, x in increasing order.\nAnswer: -5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4567 + 2322 - 11*w + 2237.\nAnswer: -11*w - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = q. Suppose q = 7*o - 8*o. Let u be 4\/4 - -2 - o. Solve -u*v + 1 = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*w**2 + 1684108*w + 126890578?\nAnswer: 44*w + 1684108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 - 5*r + 1. Give n(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 46 = 4*n + 2, 8*t - 45 = -4*n - 0*t - 1 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30 - 58) + 24 + -35.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(2448)*-5 + -4*(sqrt(2448) - (sqrt(2448) + -2)) + sqrt(2448))**2*-2.\nAnswer: -396704 - 3456*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4 + 15814*g**3 + 62568064*g**2 + 374839296*g.\nAnswer: g*(g + 6)*(g + 7904)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 6*x + 8. Let i(s) = s**2 + 7*s + 5. Let c(d) = -d**3 - 4*d**2 + d - 3. Let u be c(-4). Let q be i(u). What is the units digit of w(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2307*z - 2219*z + 4 - 4 to v*z + x and give v.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -482 + 825*l + 1524*l + 2311*l + 966 - 482.\nAnswer: 4660*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r**4\/12 - 3*r**2\/2 + r. Let w = -19 + 26. Let n be 2\/6 - 10\/3. Let p(o) = 2*o**2 - 7. Give n*p(l) + w*g(l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 22 = 5*k, -13 = m - 4*k. Let l = -1 + 4. Suppose 0 = -v + 4 + l. What is the highest common divisor of m and v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51\/357 + (-220)\/(-28)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1654002 is divided by 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/4, 1\/19, 2.\nAnswer: -1, -1\/4, 1\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 1382*t**2 - 11051*t - 74. Give x(8).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 85 and 646?\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000011548523 rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 1 = 5*t - 0, -14 = 3*y + 5*t. What are the prime factors of y*(-4)\/(-6) - (5 + -836)?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, p: 1, g: 1, s: 1, h: 1, y: 1}. Give prob of picking 1 g and 1 h.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - -19 - 15) + 115 + -5 + (9 - 2)\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, 0.02, 1.54, -33 in descending order.\nAnswer: 1.54, 0.02, -1\/6, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 3*o = 3*j - 540, -5*j + 888 = o. Let q = j - 176. Is q smaller than -8\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 7, -6 in increasing order.\nAnswer: -6, 3, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 440 and 44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 83*j + 37*j - 2280 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -100, -108, -118, -130?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= 16124?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74.2687 - -0.4393. Round q to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 1:00 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(24\/((-12)\/(-2))).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**2 + 2*f + 1. Let d be h(-3). Let w be d\/16 - 15\/(-4). Find the third derivative of p**4 + 5*p**3 - w*p**2 + 7*p**2 - 5*p**3 wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*m + 11*m + 13*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -277 and -2.7508465.\nAnswer: -279.7508465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12968748 and 729.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o + 18. Let u be h(8). Let x(m) = -29*m**2 - 1 - 36*m**2 + 66*m**u. Let v(b) = -4*b**2 + 6. Determine -v(t) - 6*x(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 + -64. Let u be 1606\/6 + 1\/3. Suppose -x - 3*x + u = -4*l, 0 = -z*x + 5*l + 273. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 - 93 - 116 + 326 - 63*j**3.\nAnswer: -63*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/4 (b) 0 (c) 1\/2 (d) 3 (e) -5\/1456\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*y - 57170 = -58520 for y.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + 3. What is the remainder when 5 is divided by x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*o - 62\/3 + 62\/3*o**2 + 1\/6*o**3.\nAnswer: (o - 1)*(o + 1)*(o + 124)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 29 + -27. Let s(m) = m - 9*m**h + 17*m**2 - 5 - 2*m - 6*m**2. What is the remainder when s(-3) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5 = 5. Let m(t) = t**2 - 5*t + 6. Let v be m(c). Let a(z) = 2*z - 2. Give a(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w**2 + 2. Let c(n) = -n**2. Suppose 0 = -3*y - 2*k - k + 18, y + 5*k = 6. Let d(h) = -h + 2. Let b be d(3). Determine b*a(x) + y*c(x).\nAnswer: 2*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26497.\nAnswer: 26497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-5)\/(-22))*(-3840)\/(-1536)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.7 - 0.2. Let z = p - 0.7. Let j = z + 0. Are j and -0.1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9*n**2 + 2*n + 9. Let b be w(-3). Let u = b - -117. Is 8 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 - 14*x + 28. Let f be i(12). What is the first derivative of -1 - f + 13*n + 4 - 2 wrt n?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bw when two letters picked without replacement from oapobqowqaq?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of -b**4\/12 + 2*b**3\/3 + 5*b**2\/2 + 10*b. Suppose 3*n - 4 = n. Suppose 0 = v + n - 7. Calculate o(v).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 983, 2144, 3327, 4544, 5807, 7128?\n\"Answer: 2*v**3 - v**2 + 1150*v - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.95 + 6. Let q = h - 0.09. Let i = -1.04 - q. Are 0 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -18. Solve -p*i = -0*i - 10 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*a + 21 + 44 + 55 - 77 + 28*a.\nAnswer: -a + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sje when three letters picked without replacement from {r: 5, s: 2, w: 1, e: 2, j: 4}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 182755, 365549, 548343, 731137?\n\"Answer: 182794*s - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1280 = -85*q + 90 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 411990774?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -30 (c) 0 (d) -0.39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1 + (sqrt(2299) - (-3 + sqrt(2299) + 2)) + 0) + 5)**2*3 + -1.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174518 or -174522?\nAnswer: -174522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 12 = 3*n. Which is the biggest value? (a) -1 (b) 0 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5 - -3) + 13 - 4. Solve 0 = 3*p + 4*l - 7, -4 = -4*p - b*l + 3*l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 11:24 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 2:26 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = g - 8, 0*q + 5*q = 5*g + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -6*k**3 - 10*k**2 - 10*k + 16. Let l(j) = j**2 + j - 1. Let f(q) = -d(q) - 10*l(q). What is the first derivative of f(v) wrt v?\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y + 5. Determine v(-16).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -95, -98, -103?\nAnswer: -110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 29 - 119 = -3*t for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 57 = 2*m - 3*s, 3*m - 5*s = -87. Let i(v) = 4*v + 8. Let a be i(-8). Is a less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5532*u - 360. Let z(w) = 1383*w - 94. What is 6*s(t) - 23*z(t)?\nAnswer: 1383*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 965.6 + -965.636146. Let u = -0.036 - z. Round u to 5 decimal places.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5694?\nAnswer: 2, 3, 13, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 r when two letters picked without replacement from qgthrggtgtah?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1, -509.\nAnswer: -509, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300*b - 6124 = -2*w - 304*b, 6129 = 2*w - b. List the prime factors of w.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36224381 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11188 - -4a7?\nAnswer: 11684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*a + 73*a - 48*a)*(3*a**2 - 3*a**2 - 2*a**2).\nAnswer: 58*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2172, 2054, 1936, 1818, 1700?\n\"Answer: -118*u + 2290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**3 + f - 3. Let a = -34 + 37. Let j be w(a). Round j to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 - 11 = g. Let z = g + 47. Let c be 3*(-5)\/30*2. Which is smaller: c or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x - 133 = -25*x - 12*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = a + 5*s + 28, 0 = 2*a - 2*s + 32. Let u = -10 - a. Calculate the highest common factor of u and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/415067 and -113\/9258?\nAnswer: 2490402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2827 and -1047?\nAnswer: 2959869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1515216 divided by -126268\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 172, 158, 146, 136, 128, 122, 118?\n\"Answer: i**2 - 17*i + 188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 294433019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 167, 439, 889, 1517?\n\"Answer: 89*c**2 + 5*c + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-32)*(-8 + -10).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000500453 rounded to 5 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from llllll?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2572 + 3097. Does 15 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/9 - (-3600)\/(-324)) + (140 - 152).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30679\/2 - 14906. Let y = 438 - x. Factor 3\/2*u**2 - y*u + 3.\nAnswer: 3*(u - 2)*(u - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1310854657 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.577 - 1.62. What is y rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 203 = -5*d, -3*g + 4*d = -d - 133. What is the least common multiple of 432 and g?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/68*(-128)\/(-160). Let l = -0.1 - 18.9. Let f = l + 18. Which is the biggest value? (a) 0.5 (b) 0.4 (c) g (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5766)\/961*(-82)\/(-12).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1880 a factor of 2390498960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2392 - 1634. Let d = 1242 - b. 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: Two letters picked without replacement from obvlmmllll. Give prob of picking 1 o and 1 m.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 + 6*f - 3. Let a be i(-9). Let z(m) = 3*m - 10. Let v be z(10). Let o = a - v. Solve j + j + 5*h - o = 0, 4 = 2*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -i**5\/5 - 632*i**4\/5 + 1670*i**3 - 22624*i**2\/5 - 6321*i = 0.\nAnswer: -645, -1, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45\/2625*(-13)\/(585\/(-50)).\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 11, 19, 3\/2, 0.3, 2\/3 in increasing order.\nAnswer: 0.3, 2\/3, 3\/2, 3, 11, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10048 + -11?\nAnswer: 10037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 113 + 0*k + 0*k**2 - 71\/7*k**7 - 32*k**3 + 0*k**5 + 0*k**4 + 0*k**6. What is the third derivative of u(o) wrt o?\nAnswer: -8520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 1363*f**3 - f**2 + 2*f - 1. Let u = -552 - -553. List the prime factors of m(u).\nAnswer: 29, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**6\/15 + 395*j**3\/6 - 704*j**2 + 11*j + 5. Differentiate x(z) with respect to z.\nAnswer: 8*z**3 + 395","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.27056 rounded to two decimal places?\nAnswer: -9.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -6 - (3 - -3)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*852\/(-54)*6\/144*18.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h*u**3 + 103*h*u**2 - 31*h + 21*u wrt u?\nAnswer: -18*h*u + 206*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1060 and 3\/68.\nAnswer: 18020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**2 + 30*n - 72. Let x(j) = -7*j**2 + 64*j - 145. Let i(c) = 5*d(c) - 2*x(c). Give i(19).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**2. Let i(v) = -325*v**2. Determine m(i(n)).\nAnswer: 211250*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 767, 1539, 2833, 4655, 7011?\n\"Answer: g**3 + 255*g**2 + 511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6\/(-27) + 728\/36?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 876 = 4*k, -2*k + 3*k - 219 = m. Let j = -154 + k. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -27*u - 578 + 187 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1560331246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11414720*o**6 + 13037154*o**2?\nAnswer: 1369766400*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 108 = 3*l + 8, 0 = -3*l - 6. Suppose 5*u + 5*q + 8 = -2, 3*q = 5*u - h. Put 1, u, -5 in descending order.\nAnswer: u, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*z**2 + 25*z - 5*z**2 - 22*z - 3*z.\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + -2 + (-1060)\/26 - 36\/(-2808)*-18.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m**2\/3 + 1656*m - 19808\/3 = 0. What is m?\nAnswer: 4, 1238","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 148017403.\nAnswer: 137, 1080419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4776.38ml in litres?\nAnswer: 4.77638","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1634 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 54811571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*y + 9 + 9. Suppose -2 = -2*s + 3*s + y*u, -2*u - 2 = -s. Which is the nearest to -2\/5? (a) s (b) 5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 4 = -0*k + 3*j, 5*j = 5*k - 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000460703978 to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*a + 96*a - 440 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -120.058 - -120. Let d = 2612 - 2611.94307. Let h = n + d. Round h to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 23191\/8 + -2909. Let o be (10875\/(-58))\/((-17)\/(-4)). Let v = o + 14711\/340. Calculate the common denominator of v and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110121121100 (base 3) in base 5?\nAnswer: -30421201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 + 6*g + 2. Let d = 2 + 2. Suppose -2*m - 22 = 4*y - d*m, 14 = -2*y - 2*m. Let l be j(y). Solve -2*s + 4*n + l = 4, 10 = -4*s + 2*n for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, h: 1, p: 1, o: 1, c: 2}. What is prob of picking 1 p and 1 t?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 8*j**2 - 4*j. Let u(x) = -2*x. Let l(m) = -b(m) + 2*u(m). Let o(d) = -9 - 4*d + 9. What is l(o(i))?\nAnswer: -128*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/9)*t**(-25)*(t**(-5))**(-4))**(-23) assuming t is positive.\nAnswer: t**(1127\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13003, -13004, -13005?\nAnswer: -13006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30*p + 33 - 33)*(-9*p + 20 - 20).\nAnswer: 270*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 324656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*f - 5*f - 32. Suppose 3*s + 2*d - f*d = 16, 5*s + d - 31 = 0. What is the greatest common factor of s and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*o + 6*o. Let i = 3\/2 + o. Let h = 53 + -53.2. Sort h, i, 1 in increasing order.\nAnswer: h, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3246792 or 3246747?\nAnswer: 3246792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 41170*k - 1383. Is d(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from ahhhahh?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*h - 9*h + 55664. Does 71 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 15 = -b, -290*b = -294*b + 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 3.73.\nAnswer: 5.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + 6. Calculate the remainder when 26\/2 - -8*(-5)\/40 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 22*m + 10*m = 4*b - 561, 0 = 15*b - 18*b - m - 27 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-20)*(-64)\/(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 22 (c) 1256 (d) -5 (e) -150\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 5 = -3*x, -4 = -2*x - p + 1 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 56 - 40. What is the lowest common multiple of 1*-3 - 17\/(-8 + 7) and h?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384800 is divided by 1515.\nAnswer: 1505","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4583202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1401 + -1000. Let s = t - -185. What is s rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 4*x - w + 4, -2*w = -4. Let t be (x - -3 - 1\/(-6))*3. Let s = -7\/6 - -11\/3. Which is the nearest to 1? (a) 0 (b) s (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of -a**4\/4 + a**3\/3 - a**2\/2 + a + 51. Let h(z) = -4*z**3 + 5*z**2 - 10*z + 5. Determine h(q) - 5*p(q).\nAnswer: q**3 - 5*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 - -10. Suppose 0 = -h*g + 3*p - 2*p + 14, -5*g + 4*p = -12. Suppose g*l - 44 = 20. Solve 2*f = -2*f - l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -17815.222 and 9104.\nAnswer: -8711.222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42753770*l**5 - 22155*l - 175 wrt l.\nAnswer: 855075400*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2341757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/8345, 0.2, 2, -0.5, -2, -50\/3, 4?\nAnswer: -2\/8345","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 3012.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9396 or 9366?\nAnswer: 9396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 4*g + 3*g - 30, 5*g = -5*w + 30. Suppose w*k = 13*k. Solve -2*q + 6*q = k for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -639092 + 1313565. Is c 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 2827116 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -7*a - 72. Let w(s) = 6*s + 60. Let m(y) = -5*o(y) - 6*w(y). Let h(n) = -3465*n**2. Give m(h(k)).\nAnswer: 3465*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 105*w - 739 - 1256 for w.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 3. Let u(n) = n**2 - 1122*n + 17. What is 5*l(y) + u(y)?\nAnswer: y**2 - 1117*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l + 28. Let h be o(-7). Suppose h = -18*u + 14*u + 316. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1878 = -3*b + 4425. Suppose 7*r + z = 3*r + 2095, 3*z - b = -4*r. List the prime factors of r.\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 - -19. Let h = -62 - l. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 5. Suppose -2*g - 36 = -n*x - x, 2*x = -3*g - 14. Let q = g - -20. 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 prob of picking 2 u and 2 n when four letters picked without replacement from unuuuuuuuuunuuun?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -272285.9 - 0.3.\nAnswer: -272286.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -42 - 8. Let a = g - -252\/5. Factor 4\/5*c**2 - a*c + 0 - 2\/5*c**3.\nAnswer: -2*c*(c - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/4)\/((-130)\/(-65))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5637 is divided by 226.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*3*(-400)\/160*(-56)\/(-40).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, 1, -3 in ascending order.\nAnswer: -3, 1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-401*d + 401*d - 13*d**3)*(1 - 1 + 2 + (-1 + 0 - 1)*(2 - 3 - 1) - 1 + 3 - 3).\nAnswer: -65*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 118\/3 - 39. Let r = -0.3 + 0.1. Let n = 0.028 + 0.172. Which is the smallest value? (a) n (b) r (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 210, 418, 626, 834, 1042, 1250?\n\"Answer: 208*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + (0 + -1 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -117909711 equal to -117909709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 603 = 282. What is the remainder when w is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8201 + -4?\nAnswer: 81db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 8) to base 11.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 1. Let y be v(-1). Suppose 0 = -7*u + y*u - 16, 2*t = -3*u + 48. Let o be (-4)\/10 + (-48)\/t. Which is bigger: -3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*p**2 + 73*p**2 - 147*p**2.\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 8:09 PM?\nAnswer: 10:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -77*j**2 - 280*j + 143*j**2 + 80 + j**2 + 178*j**2.\nAnswer: 5*(7*j - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 2*a**2 + 1. Let b be w(-7). Let j(h) = h**2 - 38*h + 249. Let o be j(8). Calculate the highest common factor of o and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2267583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00622965 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -960677*y**2. Let z(n) = -3*n. Determine r(z(o)).\nAnswer: -8646093*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 39 + -39. Suppose -5*w + 206 + 149 = x. Suppose 0 = 4*q + c - 42 - 125, -3*c + w = 2*q. List the prime factors of q.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1880, -3819, -5882, -8129, -10620, -13415, -16574?\n\"Answer: -10*r**3 - 2*r**2 - 1863*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12020200 + -102020022012?\nAnswer: -102001001112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a2a16 (base 13) in base 3?\nAnswer: -2122102002222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, 13, 72, 185, 370, 645, 1028?\nAnswer: 1537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7854 - 7992) + (-60)\/(-1)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3286393?\nAnswer: 11, 167, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -289*r + 2. Let p be k(5). Let x be 0 - ((3 - -1) + (-19576)\/(0 + 8)). Let v = x + p. Round v to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 763*k + 742*k + 2307*k as q*k + n and give q.\nAnswer: 3812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 4*w**2 + 2*w - 1. Let p be k(-3). Suppose -g + 3 + p = 0. What is the remainder when g is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 67?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -783947*t + 9743*t**4 + 8115*t**2 + 783947*t wrt t.\nAnswer: 233832*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 24, 26, 18, -6, -52?\n\"Answer: -g**3 + g**2 + 6*g + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 2*l - 3 = -2*g, -2*l + 2 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 19. Let c be -21*-13*(2 - r - 0). Let s = c - 135. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 111 - 23423*o**2 + 152 - 414 + 151 as r + w*o + c*o**2 and give c.\nAnswer: -23423","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a - 11. Let c(f) = -2*f**2 + 12*f - 3. Let z be c(5). Let s be l(z). What is the first derivative of 9*i**3 - 19*i**3 - 3 + s*i**3 - 15*i**4 wrt i?\nAnswer: -60*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of -3*s**5\/10 - 7*s**4\/12 - 7*s**3\/6 + 3*s**2 + 10*s. Let q be i(-5). Suppose q + 86 = 13*j. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126670 and 55.\nAnswer: 1393370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 55*s = 156. Suppose -2*q = -2*n - 20, -2*q + 4*n + 9 + 21 = 0. Let w = q - 4. Sort w, s, -2.\nAnswer: -2, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -6*t**2 + 6*t + 53. Determine r(-6).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -3. Let m = 12.5 + g. Let a = m - 3. Sort a, -0.3, -1 in increasing order.\nAnswer: -1, a, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 2*i + 4*i + 8, -5*g = -4*i - 58. Suppose -8 + 33 = 5*l. What is the remainder when g is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 7*y + 4. Let n be f(-7). Suppose -2*i + 32 = -n*h, -4*i = h - 13 - 15. Calculate the remainder when 31 is divided by i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - ((-12)\/4*2 - -2). Suppose -2*w + d*u + 688 = 0, -2*u + 1048 = 26*w - 23*w. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24393555 to the power of 1\/5, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -1\/36326979?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.58708412 to two dps.\nAnswer: 7.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -860\/7 = -124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -200\/17 - -20183\/1717. Calculate the common denominator of g and 79\/26.\nAnswer: 2626","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*z**6 + 9*z**4 + 60*z**3 + 4056*z**2.\nAnswer: 360*z**3 + 216*z + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 566 a factor of 1009055448?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*x - 3*x + 20 = 0, -2*p = -3*x - 18. Suppose p = 3*a - 0*a. Suppose 0 = 4*n + 2*y + y - 317, -3*n + 239 = a*y. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/18)\/(49\/(-28)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 124, 400, 922, 1768?\nAnswer: 3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1046*g**3 + 1657*g**3 - 910*g**3.\nAnswer: -299*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 55, 4, 25, 1111, -1?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 36344373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 503460.2 millennia?\nAnswer: 5034602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/9)\/(-2) - 78\/351. Let p(i) = -i**2 - 2*i + 11. Determine p(x).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -5*a - 4*l, -a + 2*a - 7 = 3*l for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -6*y + 8*y. Suppose 0 = -y*u - 2*u - 48. Calculate the remainder when -12*1*-9*(-6)\/u is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 73738?\nAnswer: 2, 7, 23, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*v - 190*v - v - 10*v - 3*v - 4 + v + (0 - 2*v + 0)*(2 + 0 - 1))*(2*v**4 - 14*v + 14*v - v**3).\nAnswer: -472*v**5 + 228*v**4 + 4*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -35*m - 243. What are the prime factors of q(-37)?\nAnswer: 2, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 384 and 48?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 496.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-36)\/(-27))\/(-28*3\/(-18)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 7c38 + -131?\nAnswer: 7b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4529 - -4.\nAnswer: 4.4529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -0*h - 15, -d = 2*h - 4505. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 367858597 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -136*l - 2671. What is r(-19)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -277, 2, -7, -68 in decreasing order.\nAnswer: 2, -7, -68, -277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 4*r + 3. Let k be s(-3). Which is the closest to 0? (a) k (b) 1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from yyyyeyyyyyyy?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.22 or 6969\/2?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110*z**3 - 969886 + 969886.\nAnswer: -110*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -48*o**2*v**2 + 7*o**2*v*z**2 - o**2*v*z + 5020*o**2 + 19449070*o*v**2*z**2 - 58*o*v**2*z wrt z?\nAnswer: 14*o**2*v + 38898140*o*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-87)\/6*((-1264)\/(-2212))\/(2\/(-7))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60517 and 207250?\nAnswer: 15129250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3330\/1480*56\/(-6)\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6275, 6280, 6295, 6326, 6379?\nAnswer: 6460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35484392 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 2. What is the units digit of v(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + -1)\/(-2) + -158064. Let z = -762510 - -507448. Let x = r - z. Round x to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1088 + -98. Let w = -990.0807 + j. Let r = -5.1893 + w. Round r to 1 decimal place.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 429*m**2 - 470*m**2 + 806*m**2 + 1.\nAnswer: -93*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 83*a**2 - 241*a - 862. Give d(80).\nAnswer: -942","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -5 + 13 + (3 - 14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 5*j**2 + 5. Let l be w(5). Solve -3*s + l*d + 0*d + 10 = 0, 2*s + 4*d + 8 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**16\/h*h**5*h*h**(6\/5)*(h**(-4\/17)*h)\/h)**(-4\/15) assuming h is positive.\nAnswer: h**(-7468\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 1. Let l be (-1)\/(1 + (-6)\/9). What is the remainder when o(l) is divided by -1 + (0 + 1 - -2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 3*u = 0. Let f be (2 - u) + 1 + 52. Suppose -3*h - 2*o = -17 - 6, -3*h = -4*o + 1. Calculate the greatest common factor of f and h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -756.319 to the nearest 10.\nAnswer: -760","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1226514 (base 7) in base 12?\nAnswer: 777a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 119 - 160. Is g not equal to -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/73)*(k*k**(-14))\/k)\/((k\/(k**(-2\/7)\/k)*k)\/k*k*k*k\/k**(-2)) assuming k is positive.\nAnswer: k**(-10863\/511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 6 + 4)*(f + 2*f - 4*f) - 99*f - 74*f - 130*f + 17*f to t*f + b and give t.\nAnswer: -285","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 + 14\/4)*8\/(-6). Find m, given that 3*m**4 + m**3 + 116*m + 108*m**f + 81 + 29*m**3 - 42*m + 88*m = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4 = 10. Let a(l) be the first derivative of -3*l**2 + 2. Is a(h) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the third derivative of -v**4\/6 + 7*v**2 + 4*v. Let n(g) = -18*g. Give y(n(d)).\nAnswer: 72*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -87*d + 3538. Determine s(39).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -52 - -35. Let f = -12 - w. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -18 and -13.\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 4*m - 5 - 2*m + 3*m. Let y(u) = -u - 1. Determine j(d) - 4*y(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (15 + -22 + -1)*1\/2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -722*v = -173*v - 2480 + 284 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-262)\/(-2227) - (-15)\/(-272).\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**4\/12 + 2*g**3 - 6*g**2 + 38*g. What is s(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1830266 and 29621?\nAnswer: 1559","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41819?\nAnswer: 19, 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-42)*(-282)\/94. Let l = 4.1165 - -0.0535. Let a = -0.17 + l. Sort a, 0.1, o, -3 in increasing order.\nAnswer: -3, o, 0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 513 + 924. Is z a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a**(-1\/9)*a*a))\/(a*a\/(((a*a**(-4))\/a)\/a)))\/(a**(-1))**(-2\/47))**(23\/4))**(-34) assuming a is positive.\nAnswer: a**(1311805\/846)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 2*h**2 + 3*h + 1. Let v be z(-2). Let t = -8562 + 8560. Sort t, v, -5, -1.\nAnswer: -5, t, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 + 4*r**3 + 2*r**3)*(491*r + 102278 - 102278).\nAnswer: 982*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 368042 and 22302.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**4\/12 - 4*q. Let g(f) = -15*f**2. Let u(n) = g(n) - 5*o(n). Let b(a) = -2*a**2. What is u(b(s))?\nAnswer: -40*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 77157?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 2*q - 10. Sort -2, q, -3 in decreasing order.\nAnswer: q, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - 113010?\nAnswer: -113003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 0 + (-43 - -45) - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11218793, -11218786, -11218777, -11218766, -11218753?\n\"Answer: z**2 + 4*z - 11218798","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 13*d = 17*d - 672, -3*j - 2*d + 505 = 0. Calculate the remainder when 500 is divided by j.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f**2 - 270*f + 1023*f - 272*f - 357*f - 4 + 2.\nAnswer: 12*f**2 + 124*f - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5 = -f. Let a be -2 - (-2 - (-18)\/(-2)). Let j = f + a. Calculate the lowest common multiple of j and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 2 - 2)*(3 - 3 - t**3) + 335*t**4 + 7*t**2 + 2*t - 1 - t**2 - 331*t**4.\nAnswer: 2*t**4 + 6*t**2 + 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.398 (b) -9382 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2993.\nAnswer: 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ve when two letters picked without replacement from {v: 18, e: 2}?\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y - 2. Let k(a) = 13*a - 8. Let z be -8*3*(-2)\/12. Let i be 0\/4 + -2 + z. Calculate i*k(v) - 9*x(v).\nAnswer: -v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2087.8 - -2135.681. Let r = -0.119 - h. Let o = r - -48.00000069. What is o rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9\/4, -239, 2.3 in increasing order.\nAnswer: -239, -3, -9\/4, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 3 + 2)*(p + 2 - 2) + 15 + 11*p - 15 + 0*p + 3*p - p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qdteu. What is prob of sequence dded?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -0.09, 1\/4, 189, 5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 - 5*z**2 + 5*z - 6. Let s(t) = t**3 - 2*t**2 - 4*t + 4. Let k be s(3). Let l = k - 7. Let p be b(l). Solve p = h + 2*h + 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3575 - -3574.93151. Let a = -1735 + 1734.9286. Let k = b - a. What is k rounded to 4 dps?\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5472.91 - 5894.8. Let t = j + 422. What is the nearest to -0.1 in t, 4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12130210002 (base 4) to base 8\nAnswer: -6344402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 4*f - 14756, -13*w + 12*w = f - 7379. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0086 + 556.89629.\nAnswer: 556.90489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -95 - -99. Solve 0 = 3*r - 5*j + 12, 2*r - 3*j + o*j - 5 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 2)*(2 - 2 - 5*d**2) + 5*d**2 - d**2 - d**2 + (d - 2*d + 0*d)*(-4*d + 4*d - d) - 5*d**2 + 3*d**2 + 4*d**2 + (2*d - 6*d + 0*d)*(-d + d + d).\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hzcrxrrh. Give prob of sequence hxr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1002*y - 16*y**2 - 67*y**2 - 49*y**2 + 23*y**2 - 9 + 997*y.\nAnswer: -109*y**2 - 5*y - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npnwemmxpwxn. What is prob of picking 1 p and 1 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-138)\/552)\/((-4)\/(-336)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w**4 - 595*w**3 - 17195*w**2 - 146205*w = 0. What is w?\nAnswer: -81, -19, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -22, -32, -44?\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, 15, 1 in descending order.\nAnswer: 15, 3, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-6)*(10 - 4). Let w be 4\/16 - (-15)\/x. Suppose -5*o = -w*l - 4, 5*o + 0 = 3*l + 3. What is o rounded to 6 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3450000 rounded to the nearest 100000?\nAnswer: -3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1431\/133 or 10?\nAnswer: 1431\/133","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21483 + -15029. Suppose 0 = 2*m - d - x, 3*m = -m + 5*d + 12908. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/5 - 22*l**4 - 564*l**3\/5 + 1084*l**2 + 562*l\/5 - 1062 = 0. What is l?\nAnswer: -9, -1, 1, 5, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431248 + 431248 - 220716*s.\nAnswer: -220716*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 4583, 4550, 4485, 4382, 4235, 4038, 3785?\n\"Answer: -w**3 - 10*w**2 + 4*w + 4590","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*a + 9*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*f + 24 = -31*f. Let s be (-6)\/9*1*-6. Suppose 0 = 3*b + 5*d - 35, 29 = s*b - 4*d - 7. Calculate the remainder when b is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-75)\/27 + 3 + 32\/18. Suppose l*c + t = 10, -5*c - 4*t + 29 = -2. Solve 0*p + p - 7 = c*f, -2*f + 4*p = 8 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((((sqrt(143) + sqrt(143)*-2 + sqrt(143))*-2 - (sqrt(143) + -5*sqrt(143)*-1))\/(sqrt(88)\/(5*5*sqrt(8))))**2 + 0).\nAnswer: -1170000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 k when three letters picked without replacement from juxvukuuvvujuvujj.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/10? (a) -3 (b) -4 (c) 3 (d) -1\/4 (e) -5\/18\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 473 - 898. Is (1 + (-48)\/(-15))\/((-17)\/v) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 16320, 0 in decreasing order.\nAnswer: 16320, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 2. Let j(b) = b**2 + 1. Let d(n) = -a(n) + 6*j(n). Let q = 63 + -36. Let i(h) = -q*h**2 + h + 26*h**2 - h. Determine d(i(z)).\nAnswer: 5*z**4 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 + 5 + (2 - 4). Let d = 3 + -2.5. Let k = -0.34 + 1.34. Which is the closest to k? (a) d (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -451, -719, -985, -1249?\nAnswer: -1511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1261 + 2447. Does 36 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153110 is divided by 169?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -222854 or -3?\nAnswer: -222854","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of v**6\/30 - 29*v**5\/10 - v**4 - v**3 + 1044*v. Find the third derivative of n(d) wrt d.\nAnswer: 24*d - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 24865 + -11777. What is l rounded to the nearest one hundred?\nAnswer: 13100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1116133 or 1116014?\nAnswer: 1116014","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9467870610 - -0.019.\nAnswer: -9467870609.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40443 - -6713443\/166. Find the common denominator of 2\/(-12) - (2 - (-18)\/(-27)) - 1 and x.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-2 + 0 + 5 + -3*1*sqrt(275) + 1 + -2))**2.\nAnswer: -540*sqrt(11) + 22311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*l + 317 + 675 = 2162 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/21 + ((-26)\/(-7) - 1). Suppose 7 = 3*h - w + p, 5*h = -5*w + 20. What is z in -13*z**h + 3*z**2 - 6*z - 20*z**3 + 2*z**5 + 8*z**3 - 6*z**2 = 0?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2 + 56 = 0. Let w = -12 + 25. Let d = y + w. What is the smallest value in 1\/3, d, 0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (90\/(-75))\/(9\/(-60)*-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1804 divided by -1?\nAnswer: -1804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28*a*d**2*i + 6*a*d**2 - 3*a*i - a + 79*d**2 + i wrt i.\nAnswer: 28*a*d**2 - 3*a + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-42)\/12)\/((-483)\/138). Let s = 5 + -2. Let i = 3 + -3.02. Which is the smallest value? (a) i (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 4*g - 25 = 0, -4*a - 10 = -2*g. Suppose -w + 10 - 6 = a. Solve 5*q - 4*q + w = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 21 - (-58 + 17 - -54)) + (16 - 2).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -18*t - 518. Let n be a(-29). Solve 0 = n*f + 3 - 11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*sqrt(3)*1.\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*r - 2088 = -3*b + 28*r, -3*r = -5*b + 3482. Calculate the highest common factor of b and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -111.6*5.\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2874716 to the power of 1\/2, to the nearest integer?\nAnswer: 1695","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/3)\/(((-28)\/(-20))\/((-216)\/60)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9 - 10 + 19 - 7*g. Let b(c) = -2*c**2. Calculate z(b(n)).\nAnswer: 14*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k - 3*k = -52 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.0275, 17\/651, 0 in decreasing order.\nAnswer: 17\/651, 0, -0.0275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4740*g**3 - 13*g + 77074?\nAnswer: -14220*g**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*x - 104 = 33, -x - 142 = -v. Suppose 0 = 3*h + 3*f - 108, -4*h - f + v = -0*f. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -10.6. Let j = 1.59999928 + v. Round j to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooooiinoionosooipoo. What is prob of sequence on?\nAnswer: 11\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1400594?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 27507287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -194. Suppose 2*n = -2*n + 100. Suppose 0*y - y = -n. What is the greatest common divisor of y and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**3 + 4 + 453*f**2 - f**3 + 8*f**4 - 454*f**2 + 2*f as g*f**2 + c*f**3 + t*f**4 + o*f + x and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 6 - ((-1 - 4) + -11). Suppose f*t - 26*t + 140 = -4*u, 0 = 2*t + 5*u - 35. What is the lowest common multiple of t and 39?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 16*q = -26, 24*r + 4*q - 9 = 29*r - 36 - 2 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*s = 0, 3*l = -s - 0*s. Suppose l = 2*y + j - 5, -y + 7 = -3*j + 2*j. What is the third derivative of -6*p**2 - 4*p**y + 2*p**4 - 12*p**4 wrt p?\nAnswer: -336*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.103885 to three dps.\nAnswer: 0.104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 7 = 4*m - 2*z, -10 = -4*m + 2*z. Let g = 9 + -5. Suppose 3*q - w = 36, g*q - m*w - 67 = -q. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -1499*k - 594. What is the ten thousands digit of n(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 8) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i**3 + 50 - 50 + (1 - 5 + 5)*(0*i + 0*i - 2*i**3) - 45*i**3 + i + 25*i**3 + 0*i.\nAnswer: -19*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12160 + 2584 = 96*n + 3288 for n.\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 18*z + 27. Let s be a(-19). Solve -m - 4*t - s = 0, -7*m + t + 37 = -2*t for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 272910?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 - 10*t**2 + 12*t + 13. Let o be a(-11). Let s = 1 + o. Solve 3*q + 5*w - 9 = 0, -4*q - s*w - 5 = -2*w for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19183301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -336*g**2 + 3 - 4 - 713*g**2 + 1 - 1190*g**2.\nAnswer: -2239*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 3*o = 4, -3*o - 118 = -2*f. Let t = f - 26. Let w(d) = -5*d + 4. Let g be w(-1). Calculate the highest common divisor of t and g.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 20. Let c be 0 + w + -2 + -1. Solve -11 = -2*i - 2*i + 3*p, c*i - 5*p = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -22) + -2 + 1. Suppose a = -5*k, 6*x - 3*k = x + 2882. Suppose 0 = -7*v + 112 + x. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (322 + -326)*11\/20. Let y = -12\/11 - -25\/33. Sort y, p, 1\/3 in descending order.\nAnswer: 1\/3, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1039 = 5*l, -622 = -0*l + 3*l - q. Let p = 222 + l. Calculate the remainder when 190 is divided by p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1276.673 years to decades.\nAnswer: 127.6673","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (17 + 37 - 21)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b (base 12) to base 9\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -46*q**2 + 1\/12*q**4 + 1\/3*q**3 + 0 + 0*q - 1\/30*q**5 - 1\/120*q**6. Determine t(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1234 + 74*y + 490*y + 141*y + 4*y**2 - 3*y**2 wrt y.\nAnswer: 2*y + 705","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 400 + 163. Let y = 558 - v. Let h = -42\/11 + 232\/55. What is the third biggest value in h, y, -1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*r**2 + 7*r + 82*r**2 - 45*r**2.\nAnswer: 3*r**2 + 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/(-660)*3\/2*6?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 58 = -2*b, -3*n + 0*b + 51 = -3*b. Let f = n + -13. Let d be 7000 + (3\/f - -3). What is d rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -154.\nAnswer: 1\/154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 6*l**2 + 12*l - 3. What is z(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from pkukhwu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13 - -9. Let b(l) = 2*l + 3. Give b(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 334 (b) -1\/7 (c) -57 (d) -5 (e) -1 (f) 7 (g) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**2\/9 - 52148*k\/9 + 339926738\/9 = 0.\nAnswer: 13037","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -21*y**2 + 24*y + 13. Let q(c) = -10*c**2 + 12*c + 6. Let a(j) = -6*f(j) + 13*q(j). Factor a(s).\nAnswer: -4*s*(s - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2 = -5*z. Let w be z\/10*(-15)\/6. What is the second smallest value in -3, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 + 10*d. Let o be s(7). Let j = o - 7. Suppose z = 2*x + 6*z - j, 0 = -2*z. What is the lowest common multiple of x and 5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -6*d + 5*d**2 + 4 - d**3 - 7 + 1 + 8. What is y(4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -14*q**3 - 8*q**2 + 9*q**3 + 6*q**3 + 4. Let i be r(8). Put -4\/9, -2, i in descending order.\nAnswer: i, -4\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -67234 + 295?\nAnswer: -66a4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 7 - 22 = 3*f, -4*f = -3*j + 16. Let y be 1 + 0 + (0 - -1). Let q(m) = 4*m - 2. Let a be q(y). Solve -j*r + a + 2 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 89, 176, 261, 344, 425, 504, 581?\n\"Answer: -k**2 + 90*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/9 - (-4)\/6. Let a(c) = c. What is the units digit of a(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2338298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/6 - (-9)\/2. Suppose -4*r + 14 = 2*a, -j*r - 21 = -4*a - 58. Put -5, 1, a in descending order.\nAnswer: 1, a, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 plus 16?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 2476383?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 92441 + -92440.99999920721. Round s to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/124542 and 26\/895215.\nAnswer: 1004431230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 1\/6, -1\/16, 7?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 655044?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*h - 3 = 8, -2*n + 15 = 5*h. Does 17 divide ((-15)\/n)\/(-3)*121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.2 - 0.8. Let k = -1 + y. Let q = 18 + -17.9. Which is the nearest to -2\/7? (a) q (b) -1\/5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3216 divided by -804.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -5. Suppose 1 - 5 = -f. Let d be r\/8 + (-7)\/f. Let v(l) = -l**3 + l**2 + 3*l + 1. Give v(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of 79*w**6\/3 - 9*w**2\/2 + 124*w - 771. What is the second derivative of d(s) wrt s?\nAnswer: 3160*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29502481 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + ((4 + (sqrt(640) + sqrt(640) + sqrt(640)*1)\/sqrt(5) + 2)*4)**2)*-1.\nAnswer: -19012 - 4608*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42 + -25 - 13 - 25?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-8)*(-1)\/6.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u*u*u\/(u\/(u**(-10\/3)*u)))\/u)\/u*u**2*u)\/(u*u*u**(-2\/17)*(u\/u**(-5))\/u) assuming u is positive.\nAnswer: u**(-266\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*o + 3*u - 24, -8 = -2*u. Let r(w) = -9*w**3 + w**2 - 2*w + 1. Let k be r(o). Is k\/(-27) - 1466\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 55302.13 meters?\nAnswer: 55302130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4615?\nAnswer: 5, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10312 divided by 3\nAnswer: -10312\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5 + 9*n - 2 + 1. Let v(j) = -18*j - 9. Suppose 2427*x - 3601 + 25444 = 0. Determine x*m(c) - 4*v(c).\nAnswer: -9*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (120\/(-36))\/(5\/60*-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 1066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*l - 5*p = 33*l + 104961, 0 = -3*l - 3*p + 157452. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 468468 is divided by 416.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27 and 35730?\nAnswer: 107190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7061785489.\nAnswer: 11, 641980499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 14*w**2 + w - 15. Let v be p(14). Which is smaller: -3\/364 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 >= 248498801?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 2*l - 2. Let i = -338 - -341. Calculate p(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.528 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 125 + 8 - 0\/1. Let r = -80 + a. Suppose 15 = -d + r. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes before 11:38 PM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 + 3*r - 2*r**4 - 6*r**3 + 4*r**2 - 4*r**3 in the form k*r + v + y*r**3 + m*r**2 + o*r**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 16\/64 - 30\/(-8). Find the common denominator of 3 + (u\/(-3) - 165\/30) and 95\/84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of -7*m**4\/24 + 1304*m**2. Let s = 7 - 3. Let z(w) = w**2 + 9 - 5 - s. What is z(x(n))?\nAnswer: 49*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 5:28 PM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {c: 1, b: 14}.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l**2 - 2075*l - 8380 = 0 for l.\nAnswer: -4, 419","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12983101.\nAnswer: 41, 316661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.53, -7, -1, -3, -2?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -21*g + 160. What is h(9)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 13165, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237 is divided by 134?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-33)\/(-12) - 2\/(-8). Suppose 4*i = g*i - 93. Does 2 divide 6\/(-8) - i\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (47*a - a - 26*a)*(-a**3 + 6*a**3 + 5*a**3).\nAnswer: 200*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 + 8. Let u be (3\/r - 4\/2)\/1. Which is greater: u or -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/5 in -3, -1\/3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -29 - -31. Let f(a) = a**2 - 7*a + 7. Let l be f(5). Sort 3, p, l.\nAnswer: l, p, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 8. Suppose 4 = 4*q - 2*q. Let p(h) = h**3 + 4*h**2 - h - 3. Let k be p(-3). Solve q*u - l*u = -k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*r = -5*r - 24. Let u = 8 - r. Suppose -156 = -u*y - 14. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (102\/(-9))\/(6\/9 + -1). Suppose 110 + f = 9*t. Calculate the remainder when t is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -1. Suppose -n = 6*n + 35. Is n <= t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 31623000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105 and 70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (20\/(-6))\/((-10)\/15). Suppose l - p*l = 0. Solve 5*d - 9 = -5*j + 16, -2*j + 3*d = l for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -5, -401, 1 in increasing order.\nAnswer: -401, -5, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 129940 is divided by 3508.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41425.1 millennia to centuries.\nAnswer: 414251","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1122612 or -1122486?\nAnswer: -1122612","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*t = z + 3*z + 144, 0 = 3*z + 2*t - 11. Let v(k) = 26*k - 16. Let c(d) = 9*d - 5. Let l(w) = 16*c(w) - 5*v(w). Calculate l(z).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 times 38?\nAnswer: 9690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -8*t + 9*t. Let g = -22 - -11. Let r = t + g. Calculate the least common multiple of 7 and r.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**2\/7 + 217212252*v\/7 + 5897645302363938\/7 = 0.\nAnswer: -54303063","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together -862291 and 79581008.\nAnswer: 78718717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - b. Let t(s) = -9*s**2 - 6*s. Let y(q) = q**3 - 6*q**2 - 6*q - 1. Let g be y(7). Let w = -921 - -920. Give g*v(p) + w*t(p).\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w**3 + 11*w**2 + 7*w - 2. Let f be p(-5). Let q be ((-2)\/f*-2)\/(1\/(-15)). What is the nearest to 0 in -1\/9, q, -4?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -5 + 0*b - b + 3*b + 2. Let h be o(3). Factor 0*w**2 + 1\/4*w**h + 0*w + 0.\nAnswer: w**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2186 + 3549. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2 = i. Is -3 + i - (-92510)\/22 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13812 - -276333\/20. What is the common denominator of -3\/2 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.38 and 99.\nAnswer: 37.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3653 rounded to the nearest ten?\nAnswer: 3650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (57\/10)\/((1161\/18)\/43).\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/36)\/((-2)\/9). Let b(k) = 6*k**2 + 6*k - 1. What is the tens digit of b(j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 202 + -7472\/37. Let o = 54 + -54. Which is greater: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3231236935.\nAnswer: 5, 43, 15029009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4751 and 102?\nAnswer: 484602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - 3*r**2 + 3*r - 2. Let a be x(3). Let v = 9 - a. Suppose v*f = o - 48, -7*o + 5*f = -3*o - 192. What is the greatest common factor of 32 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2675)\/(-9) - (-28)\/(-126). Let w = o + -294. What is f in -1\/4*f**w - 3\/4*f**2 - 3\/4*f - 1\/4 = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.691196*-2.4\nAnswer: 6.4588704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s. Let f(j) be the second derivative of -65*j**4\/12 + 2478*j. Determine z(f(x)).\nAnswer: -260*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 + r**2 + 4*r - 3. Determine h(4).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqx when three letters picked without replacement from {x: 5, q: 3, c: 1, y: 3, g: 3}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 2*h = -360, b + 90 = 2*b - 3*h. Let u = 5 + -3. Suppose u*k = 5*k - b. Does 15 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the first derivative of j**2\/2 - 7*j + 1. Let s(w) = -w**3 - 2. Let o be s(-2). Determine d(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -47\/24*v**4 + 7 + 0*v**7 + 0*v**6 - 1\/24*v**8 - v**2 + 0*v**5 + 0*v**3 + 0*v. What is the second derivative of s(u) wrt u?\nAnswer: -280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 799752*d*k**2*q + 471662467*d*k*q + d + 37*k**3*q - k*q wrt k.\nAnswer: 1599504*d*q + 222*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -58 + 34. Let v = s + 74. Let z = v - -17. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -66*k - 478. Let c be y(-10). Suppose 5*r = 5*n - 720, -6*n + n + 571 = -4*r. Let x = c + r. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -110 + 108. Let g = 0.34 - 0.04. Let t = g - 0.4. What is the smallest value in a, -0.4, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7250812?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 213543?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-27)\/(h**13\/h) assuming h is positive.\nAnswer: h**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from nnnuvnvuvvu?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-1\/3))**33\/(h\/(h*h**(2\/7))*h\/(h\/h**(-9))*h))**14 assuming h is positive.\nAnswer: h**424","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 82757 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**2*x**3 + g**2*x + 79*g**2 - 40*x**3 - 3*x**2 wrt g?\nAnswer: -2*g*x**3 + 2*g*x + 158*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22605 a multiple of 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -34 - 146. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -8 + d**2 + 13*d**2 + 12*d - 12*d**2. Let r be v(-3). What is r rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 + 8*t**2 - 13*t + 9. Let k(s) = -s**3 + s**2 - s + 1. Let o(l) = -2*k(l) - m(l). Is o(10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*o**4 + 0*o**3 + 0*o**3)*(-644 - 462 + 435)*(-5 + 5 + 3)*(2*o - 5*o + 4*o).\nAnswer: 12078*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 1781.166, -6\/13, 0.4?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 + -106. Solve 3*q - 11 = 2*r, -v*r + 2*q + 23 = 5*q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -549560788 and 0.4.\nAnswer: -549560787.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 55 and 18689?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 10. Let u be (-3)\/m - -3 - 2. Suppose 3*r - j + 0*j = 92, -5*r + 3*j + 156 = u. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(-3)*12660\/2954\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1539, 3\/2, 0.056, -0.5 in ascending order.\nAnswer: -1539, -0.5, 0.056, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 768 and 3680?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -57, -5, -2, 6 in descending order.\nAnswer: 6, -2, -5, -6, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-4))\/((-12)\/336). Suppose -5*u = -20, 0*c - 4*c - 4*u = -68. Let b = 27 - c. What is the greatest common divisor of b and g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1164*b**3 - 282*b**3 - 276*b**3 - 280*b**3 - 316*b**3.\nAnswer: 10*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*w**2 + 8*w**2 - 6*w**2 - 12*w**2 + 0*w**2 + 3*w - 13*w.\nAnswer: -4*w**2 - 10*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 516734.2 hours in milliseconds?\nAnswer: 1860243120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**4\/3 + 100630*k**3\/3 - 420099224*k**2 - 46186568736*k - 45766435968 = 0 for k.\nAnswer: -108, -1, 25212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12977087 plus 2939?\nAnswer: 12980026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 14159286917+-3\nAnswer: 14159286914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 2:50 AM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -3*l**3 - 38*l**2 - 21*l + 52. Let h be z(-12). Which is smaller: 402\/25 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -31*t - 24. Let i be s(-1). Suppose i*x = 1767 + 1635. Is 30 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2\/7))**(-3)*f**(-6)*f**(-2))\/(f**(-1\/2)\/f*(f*f**(-5))\/f)**(6\/11) assuming f is positive.\nAnswer: f**(-277\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -12*g + 47. Determine f(30).\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -348 - 159*t + 348 + (t - 4*t + 2*t)*(35 - 7 - 18).\nAnswer: -169*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -3*h - 82. Let g be ((-62)\/h - 2) + -1. Let t = 2 + -17\/7. What is the smallest value in 4\/7, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m + m. Let k be (-1)\/(m - (-27)\/15). Suppose -k*j - 9 + 29 = 0. Which is the third biggest value? (a) 5 (b) j (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (19*v - 33*v + 17*v)*(-7*v**3 + v**3 - v**3) + 18*v**4 + 44*v**2 - 44*v**2 to the form b*v**2 + s*v**4 + n*v + w*v**3 + d and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -622 - 110 = -81*g + 20*g for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30575937 by 6.\nAnswer: -10191979\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -136*y**3 + 31870 - 15914 - 15956.\nAnswer: -136*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -207 + 2*f + 89 + 98 + (-f - 2*f + f)*(2 + 1 - 4) + f + 4*f - 3*f to s + o*f and give s.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -4*l. Suppose 4*u - 5 - 11 = l. Suppose 0*a + 5*n - 152 = -a, -4*n = u. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -9*i - 3. Let t be b(-7). Suppose -5*c + 0*c = -t. Calculate the remainder when 23 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -2. Let i be -12*((-4)\/3)\/2. Let g = i + l. Sort -3, 3, g in ascending order.\nAnswer: -3, 3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(0 - 10\/45). Sort d, 2\/9, 3 in descending order.\nAnswer: d, 3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -222357.5 and 8.\nAnswer: -1778860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 218803709?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 26*n - 22*n + 12 = 0, 9 = 3*u - n. Let r = -0.04 + -0.26. Sort u, r, 4\/7 in ascending order.\nAnswer: r, 4\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e, 1 b, and 1 i when four letters picked without replacement from {b: 1, e: 2, i: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 770 + -706. Let d = -2 - 63. Let w = t + d. Which is smaller: -2\/135 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1040950*f*w**2 - 11*f*w + 61*f + w**2 - w - 378680 with respect to w.\nAnswer: -2081900*f*w - 11*f + 2*w - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*u = 3235, 2 + 3 = -u. Let s = -208 + 213. Suppose -s*b + 51 + v = 0. List the prime factors of b.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -20549.\nAnswer: -20548.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -8*w - 4. Let y be c(-5). Let r(p) = 4*p - 2. Let u be r(1). Suppose -u*s = s - y. Is 4 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-68)\/(-51))\/(14\/(-141)). Let p = 317\/21 + g. What is the closest to 0 in p, -0.3, 0.2, 13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22289\/2010 - -26\/335. Let g = -894383\/2046 - -14028\/31. Let n = -4\/33 - g. What is the common denominator of n and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/(-3) + -5)*27 + 11.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.054202 - 3.\nAnswer: -2.945798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 25.201 times 15\nAnswer: 378.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 25*i - 18. Let k be h(12). Sort k, 0.3, -3\/4, -5 in ascending order.\nAnswer: k, -5, -3\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b + -a9b?\nAnswer: -a80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.059401 or -22667?\nAnswer: -22667","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -7, -92443?\nAnswer: -92443","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -777104 take away -75318?\nAnswer: -701786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(300)\/((sqrt(12) - sqrt(12)*-5)*2 - sqrt(12)))\/(1*sqrt(320)).\nAnswer: -5*sqrt(5)\/88","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -6, -27, -82, -189, -366, -631?\n\"Answer: -3*z**3 + z**2 - 3*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -94419 or -94455?\nAnswer: -94419","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 171 and 2223.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -r + g - 0, 3*r + g - 18 = 0. What is the greatest common factor of r and 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/87 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -2, -34, 0.22?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 152 and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2431 + 2297 = 0. Let s be 2\/(-7) + c\/42. Let q = s + -32. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = d - 13, -3*d + 3*c + 9 + 18 = 0. Put -2, d, 3 in descending order.\nAnswer: d, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*m - 2*w = 127*m - 305, -3*m = 3*w - 915. What is the highest common factor of 275 and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29857753, 29857748, 29857741, 29857732, 29857721, 29857708, 29857693?\nAnswer: 29857676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 4565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 8*h - 5. Let x be n(-5). Let s = x + 48. Let i(k) = k + 7. Let d be i(-6). Put 4, s, d in descending order.\nAnswer: 4, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85532569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*b - 53*b + 30*b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65703 is divided by 280.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*t**2 - 8*t**2 + t**2 to z*t**2 + l*t + o and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -148416*g**5*y + g**4*t*y**3 - g**2*t*y - 81*g**2*y**3 + 7*g**2*y - 10*g*t*y**3 + 5*y wrt g?\nAnswer: -8904960*g**2*y + 24*g*t*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 35*d - 1. Give j(-2).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7277260 rounded to the nearest ten thousand?\nAnswer: -7280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - -2) + 4 + (-8 + 1 - -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 6*y**2 + 3 - 11 - 4*y + y. Suppose -12*m - 78 + 6 = 0. What is j(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 AM and 8:36 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22, -10, -72, -164, -286, -438?\nAnswer: -620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (10\/(-5))\/((-4)\/14). Suppose -6*o = -k*o + 4. What is the third derivative of -o*i**2 - 3*i**5 + 3*i**2 + i**5 wrt i?\nAnswer: -120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50 * -178.8416\nAnswer: -8942.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -613*m**4 + 7*m**3 + 3*m**2 - 6*m + 1?\nAnswer: -14712*m + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i - 104 = -2*d, 0 = d + 3*i - 57. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4043520 + -4043856.99285. Let u = -337 - v. What is u rounded to four decimal places?\nAnswer: -0.0072","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1001111100 (base 2) to base 6\nAnswer: -2540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -2*y**3 + 2*y**2 - 10*y - 81. Let q be n(-5). Suppose -32 = 265*b - q*b. Solve b = 5*h - 9*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(154) + -2*sqrt(154) + sqrt(154))\/sqrt(7))\/((sqrt(176) - sqrt(11))*5) + 2*sqrt(2)*-1 + -5 + 1)**2.\nAnswer: 16*sqrt(2) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the first derivative of -562*l**3 + 2207*l + 1742. What is the first derivative of f(v) wrt v?\nAnswer: -3372*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 52\/5 + (-34)\/102 + -10?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5 - 5)\/5 + 4*2. Suppose 5*t = f*t - 2. Suppose -8 = 2*h - 6*h - 2*j, 0 = -t*h - 2*j + 2. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 92 + -91.9. Which is smaller: d or 1\/44?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*v**2*x + 2*a*v**2 + a*x - 19*v*x + 5*x with respect to v.\nAnswer: 2*a*v*x + 4*a*v - 19*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k**3 + 16*k**2 - 7*k - 5. Let s(n) = -3*n**3 + 8*n**2 - 3*n - 3. Let v(x) = -2*j(x) + 5*s(x). Suppose 5*p - 34 = 1. Is v(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/(-6)*-6 - 1. Suppose -3*g = -z*y + 84, 3*y - 111 = 2*g + 2*g. Let o be (6\/(-9))\/(4\/g). Solve -5*b = 5*x - 15, -4*b - 7 + 24 = o*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1875 by 375.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**4 - 3*u**4 + u**4 + 8*u**4 - 12*u**3 + 12*u**3 + (-3*u + 0*u + u)*(3*u**3 + 0*u**3 - u**3).\nAnswer: u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.7? (a) 2 (b) -4 (c) 1\/14 (d) 1.71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4 = 2. Let k(p) = 5*p**2 - 2 - 6*p - 1 - p**2 - b. Let a be k(5). What is the greatest common factor of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 42*m + 40*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d, 1 t, and 1 k when three letters picked without replacement from qvptdtqqqtdqktqqqttt.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Let v(g) = -n - 2*g**2 + 2. Let x(k) = -4*k + k + 3*k - k**2. What is v(x(m))?\nAnswer: -2*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -636*w + 19634. Calculate g(31).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 405 by 5.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8011 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -133 = 7*i + 203. Let p be -15*8\/(-12)*i\/(-360). Determine h, given that 9\/2*h**5 + 8*h - 12*h**3 - 9\/2*h**4 + p*h**2 + 8\/3 = 0.\nAnswer: -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/114819428 and 75\/4?\nAnswer: 114819428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence keek when four letters picked without replacement from {e: 2, k: 3}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**2\/2 - x - 629. Let f(c) = 2*c - 2. Give -f(u) + 3*m(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 751470.68438 + -7.68438. Let t = q - 751463.4000005. Let y = 0.4 + t. Round y to 6 dps.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-1*-2 - sqrt(117))\/((sqrt(18) - sqrt(1152))\/sqrt(2)).\nAnswer: -sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1086 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -5*f - f - f + 0*f. Let z(c) = -c**2. Give z(m(h)).\nAnswer: -49*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sz when two letters picked without replacement from bbsbsmsbbzsksbkks.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and 2117668?\nAnswer: 6353004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -7*w**4 + 3*w**2 - 12*w + 3. Let v(f) = f**2 + 1. Let x = 14 + -15. Let g(o) = x*t(o) + 3*v(o). What is the second derivative of g(n) wrt n?\nAnswer: 84*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*p = 11*p + 132348. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 divided by -3934523?\nAnswer: 21\/3934523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**3 + 4*x**2 + 4*x. Let r be (-2 - 0) + (-33)\/11. Let h(l) = l**2 + l. Determine r*h(a) + y(a).\nAnswer: -3*a**3 - a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2691, -2495, -2299?\nAnswer: -2103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*6*(sqrt(143) + sqrt(143) + -5*sqrt(143)*1 + sqrt(143))\/(sqrt(11) - sqrt(176)*5))**2.\nAnswer: 1872\/361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3346*v + 84*v**3 - 3346*v + 27*v**3 + 6691*v.\nAnswer: 111*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 246\/245 + -10\/49. Let u(h) = h**2 - 4*h + 2. Let w be u(2). Which is the biggest value? (a) w (b) 2 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -7*t + 50. Calculate the greatest common divisor of 4 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 0 + (-153 - -151)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**4 - 10020*j**3 - 6279984*j**2 - 6149824*j + 75240192 = 0.\nAnswer: -1252, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -174 - -176. Suppose -70 = -l*t + k + 2*k, -132 = -4*t + 2*k. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1403)\/(-92)*-4)\/((-2 - -1)\/9). Solve k - 533 = -8*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1, -7, -37, -103, -217, -391, -637, -967?\n\"Answer: -2*t**3 + 8*t - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**2\/11 - 82472*m\/11 - 850203848\/11.\nAnswer: -2*(m + 20618)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8149.807 years?\nAnswer: 97797.684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 745, -1, 16, 2 in decreasing order.\nAnswer: 745, 16, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 15*t**2 - 32*t + 30. Let c be i(17). Suppose 4*l + c = 28. What is the units digit of 62 + 5 - l\/(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -408*i**2 + 4*i - 4. Let f(h) = 90981*h**2 - 891*h + 891. Give -4*f(b) - 891*z(b).\nAnswer: -396*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -105\/252212 and 29\/163196.\nAnswer: 2774332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19033887 is divided by 18?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -17*r - 123. Let p(a) = 34*a + 246. Let j(x) = -2*p(x) - 5*s(x). Calculate the remainder when 12 is divided by j(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-1 + 4 - 2)*15. Suppose t = 2*r - 43. Suppose 4*l - 5*k - 126 = 0, k + 0*k = 3*l - 89. Calculate the greatest common divisor of r and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0131381 rounded to 4 dps?\nAnswer: -0.0131","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 227559986 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 27*s - 96. Let m = 18208 - 18212. What is r(m)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013 times 0.2?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-nine fifths of a millennium?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.5, 0.2, -2\/13, 1\/2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.601 - -246.701. Let n = 241 - b. Put -3, n, 1\/4 in increasing order.\nAnswer: n, -3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of 0*b**3 + 0*b**7 + 0 + 0*b**4 + 0*b**6 - 3*b**2 + 0*b + 1\/168*b**8 - 1\/30*b**5. Find the third derivative of j(d) wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4985 + -4597.3. Let u = 387.69997771 - z. What is u rounded to seven decimal places?\nAnswer: -0.0000223","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -63\/13 - -428\/91. Suppose 0 = 6*c - 3*c - 9. What is the closest to 2\/45 in c, l, -0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 323472 and 27600.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16363.\nAnswer: 16363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-six fifths of a centimeter?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fa when two letters picked without replacement from {s: 1, a: 5, i: 10, f: 4}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*l - 484*l + 89*l - 268 - 547*l.\nAnswer: -823*l - 268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3555545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 5 - 5. Let v(g) be the second derivative of -1\/6*g**3 + 0 + s*g + 1\/2*g**2. Determine v(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 7*p - 4*t - 864, 652 = 3*p - 2*t. Calculate the highest common divisor of p and 640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39605?\nAnswer: 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3893282729 and 4627?\nAnswer: 4627","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**5 - 10*f**4 - 14*f**3 - 6*f**2.\nAnswer: -2*f**2*(f + 1)**2*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 - (4\/2 + -14). Suppose -f - q + 63 = 0, f + t - 61 = 3*q. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13 - -15) + 102 + 1. Let b = -28 + d. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6092 or 6094?\nAnswer: 6094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -144 less than -153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3671?\nAnswer: 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t + 3*q + 7, -2*t + 5*t - 518*q - 11 = -519*q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, b: 4, n: 9, x: 1, f: 1, i: 1}. Give prob of picking 2 b and 1 f.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(42\/(-35))\/((-6)\/20). Let d be q - -8 - (-1 + 5). Suppose 4*m + 8 = d, 4*f - m = -0*m + 1082. Is f a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120111 - -2102202?\nAnswer: 10000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5334 - -5341. Let j = -0.03 + 0.01. What is the nearest to 2\/9 in s, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*y, -y - 49 = -4*d - 0*d. Find the first derivative of 47*k**2 - 166 - 23*k**2 + d*k**2 + 32*k**2 wrt k.\nAnswer: 138*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 380.29807285112 + 0.70192475888. Let p = 381 - b. What is p rounded to 7 dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l - 66 - 2*l + 64. Give s(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixteenth of a tonne in grams?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 AM and 4:14 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.6 + -1. Let z = -22 + 16. Let b = 4 + z. What is the third biggest value in -3, n, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 3.05. Let n = -0.35 - a. Let h = 3 + -1. What is the closest to h in -3, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = -4*b, 79*j - 20 = 5*b + 75*j. Suppose -2*k + 1153 + 1469 = b. What is the thousands digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 8. Let n be -2 - -16 - (-1 - -3). Solve n = -5*r - q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70757*d - 1404 = -70811*d for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 19 (base 16) to base 8\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -219, -217, -215, -213, -211?\n\"Answer: 2*a - 221","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 3 (c) -5 (d) 6 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 151 + -150.3. Let s = 0.5 - w. Let o = -6.1 - -6. What is the closest to 0.1 in s, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 443124 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 545861294?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 3*q + 11*q - 5 + 5*q - 14. Suppose 0 = -0*m + 3*m - 27. Is 36 a factor of k(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from tuttu?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -7*a**2 + 104*a + 245. Give y(20).\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 301 and 43.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -4*o - 8, -a - 5*o - 61 = -4*a. Let r be (-2)\/11 + 2\/11. Suppose 0 = -5*m - r*m + 420. What is the highest common divisor of m and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-43 + 35796)\/(-1 - -2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 811519757 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 376155 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/(-7) - -2 - 4. Sort l, -2\/7, -2\/5 in descending order.\nAnswer: l, -2\/7, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -a + 13, 2*b - b + 4 = 0. List the prime factors of (-207)\/(-12)*56\/a.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 * -1\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i**2 + 3 + 3*i - 1 + 3 - 3*i**2. Is y(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*p**3 - 3*p + 5*p**3 - 10*p**3 - 8*p**2 - p**3 - 1 + 2*p**4 in the form r*p**2 + j*p**4 + d*p + u + a*p**3 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-4)*(3 - -1). What is the first derivative of 3*i**2 - 3*i**2 + 2 - w*i**4 wrt i?\nAnswer: -8*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(700) + sqrt(700) + 0 - (sqrt(7) + 0)*1*-1)*5*5.\nAnswer: 525*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r - 5*x + 6 = 0, 0 = -2*x. Suppose -h - 4 = -0. Sort r, 2, h in descending order.\nAnswer: r, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -54005*r - 108111. What is p(-2)?\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61 - 2 = -3*i - 4*f, 87 = -4*i + 3*f. Let w = i - -36. Let s(y) = -2*y**2 - 16 + y**3 + w + 3*y**2 + 3*y**2. Give s(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**4 - q**4 + 3*q**4)*(-10 - 25 + 7)*(-1 + 4 - 2).\nAnswer: -140*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 75476 = -4*v + 41383. List the prime factors of v.\nAnswer: 38953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = -6*f - 156. Calculate the remainder when -101*2*21\/f is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.8, 16\/5, -1\/5?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 11) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 1121\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 110210?\nAnswer: -110210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 18. Let h(s) be the third derivative of j*s + 0*s**4 + s**2 + 1\/60*s**5 + 1\/3*s**3 + 0. Differentiate h(g) with respect to g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56801, -113065, -169329, -225593, -281857, -338121?\nAnswer: -394385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/9 - 176\/(-6). Let x(l) = -l**2 - 4*l + 2. Let n be x(-4). Is (-1)\/((-1)\/n) + v a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -48 + -1 + -422 + 471\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 183b + 33370?\nAnswer: 34bab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**2 + 0 + 0)*(78 - 2*r + 43 - 97).\nAnswer: -4*r**3 + 48*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 92 - 92 - 3*p. Let b(r) = 2*r. Determine d(b(f)).\nAnswer: -6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*v + 53013 = -118818. What are the prime factors of v?\nAnswer: 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*o**3 + 5*o**2 - o - 182 wrt o.\nAnswer: -102*o + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4882343 rounded to 2 dps?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - g - 2*g**3)*(-173*g + 45*g - 72*g).\nAnswer: 400*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37464 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 0*u = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 81 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: b\"What is the oth term of 9999, 19870, 29731, 39576, 49399, 59194, 68955, 78676?\n\"Answer: -o**3 + o**2 + 9875*o + 124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1177159701 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2497402 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*a - 1653 = -597 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - -6)*(1 + 1\/(-1))\/(-2). Suppose -2*w = 2*w. Solve -3*h + 6 = 4*x - c*x, 3*h - 6 = w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**2 + 2*o - 1. Let t be a(-3). Suppose 2*d - 4*s + 4 = 0, -6*d + t*s + 10 = -2*d. What is the derivative of 9 - 8*f**d - 3 - 8 - 5 wrt f?\nAnswer: -32*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28059 - 28064 + 2*y + 56123.\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1590996?\nAnswer: 2, 3, 11, 17, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the third derivative of 0*p - 9000*p**3 + 1\/60*p**5 + 0 - 3*p**2 + 0*p**4. Let n be k(0). Round n to the nearest 10000.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 25, 403 = 4*b + 4*o - 457. What is the highest common divisor of b and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (6 - (6 + -4) - 9)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -93 - 66 + 344*i + 159.\nAnswer: 344*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.45 - -0.35. What is the closest to h in 0.1, -3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 - -7. Let r be 84\/d - 1\/4. Let o(s) = 5*s**3 + 38*s**2 + s - 6. Let k(l) = -4*l**3 - 29*l**2 - l + 5. Let h(w) = 9*k(w) + 7*o(w). Determine h(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10*m**3 + 8*m**2 + 8*m + 2. Let f(b) = -b**3 + b**2 + b. What is -8*f(a) + o(a)?\nAnswer: -2*a**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2314 + -1?\nAnswer: -2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - 63\/(-18))*-14. Solve 5*a = -3*z - 7, a - 3*z + j = 2*z for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 748449 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of -5*u**7\/14 - u**4\/12 + 3*u + 9. Let k(d) be the first derivative of x(d). What is the third derivative of k(l) wrt l?\nAnswer: -900*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1867 is divided by 205?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q**4 + 36*q**3 + 8*q**2 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 13, 4 in descending order.\nAnswer: 13, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 57?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**3 + 0*z - 2*z**2 + z + 5*z**3 - 16 + 12. Let f be y(-3). What is the first derivative of 2 + 3*t**2 + 1 - 6*t**f - 3*t**2 wrt t?\nAnswer: -12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 938?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 18 + (-11 - -1) - (20 + 0).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuijiijujs. Give prob of picking 1 u, 1 j, and 2 i.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from braaarqrqrsraqrp. Give prob of sequence bpar.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1269, -2541, -3813, -5085, -6357, -7629?\nAnswer: -8901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3)*-9*(-40)\/24?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1276*z**3 + 6*z**2 - 28*z + 192306.\nAnswer: -3828*z**2 + 12*z - 28","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iylnillyllylilnyy. What is prob of picking 2 l and 2 i?\nAnswer: 9\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15124 by 179.\nAnswer: -15124\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -293 times 1229697\nAnswer: -360301221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30*1*(-6400)\/(-64000))\/((2\/(-1))\/(-38)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from yjjqymyjmjyymbyjq.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*k - 6, -4 = 3*k + 5*w + 4. Let y be (-3)\/25*k*1\/9. Which is greater: y or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 769978.\nAnswer: 2, 11, 31, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 13\/(728\/24) - 9\/21. Suppose t = -8*f + 44 + 12. Solve -f*s + 13*s = 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6636)\/(-16065) - (-2)\/(-5). Sort m, -4, 2, 4.\nAnswer: -4, m, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vl when two letters picked without replacement from eeeeeveueeleve?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 - (9 + -20))*7*(-30)\/34160.\nAnswer: 3\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h**2 - 4*h**2 + 8*h**2 + (h + 0*h + 0*h)*(4*h - 4*h - h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1336606624 by 6.\nAnswer: 668303312\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -8. Calculate the smallest common multiple of t and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -1326039*r. Let p(y) = 2*y**2 + 18. Give b(p(n)).\nAnswer: -2652078*n**2 - 23868702","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-390)\/(-12))\/(-13))\/5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes after 4:47 AM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11\/((-154)\/8) - 69\/161\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 19*c**2 - 46*c - 45. Give m(16).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o + 16. Let j be y(12). Factor 12*l - 9*l**3 - 6*l**4 - 2*l**4 + 5*l**j.\nAnswer: -3*l*(l - 1)*(l + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1193 and -0.14?\nAnswer: -167.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 - 3013?\nAnswer: -3033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 5*q**2 + 4*q + 2. Let j be p(-1). Suppose 3*g - j*z = 2*z - 22, -2*g + z - 3 = 0. Which is the closest to g? (a) -5 (b) 1\/2 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3933815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -5752531615 to the nearest 1000000.\nAnswer: -5753000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 + 2. Let g be d + (-2)\/(-21) - 2. Let o = 1.5 - 0.5. Which is the closest to o? (a) 1\/3 (b) 1\/4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 3) + -3 + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a - 32 - 30 = 0. Let i(g) = g**3 - 3*g**2 + 6*g + 4. Let y be i(5). Let c be y\/90 - a\/(-6). What is the third biggest value in 0.4, -1, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (9 - 7) + 1 + -2. Suppose -49*r + 53*r + 4*k = 64, -2*r + 5*k + 11 = 0. What is the greatest common factor of r and h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 92090616?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -310 (base 6) in base 4?\nAnswer: -1302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d + 9*d - 1321 + 1361 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - 3) + 2 + (-4)\/(-2). Find the third derivative of 8*h**2 - 117*h**i - 46833 + 2*h + 6*h**2 + 46833 wrt h.\nAnswer: -2808*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3731 times -0.00451?\nAnswer: -16.82681","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 - -0.4. What is the closest to 0 in -5, 1\/6, -12, i?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 + 673*q**2 + 702*q - 19235. Calculate j(674).\nAnswer: -363","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Calculate the remainder when 4 is divided by w.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - x**2 - x)*(-31*x + 298*x + 23*x) to s*x + v + b*x**2 + o*x**3 and give o.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -68207*t**4 - 4*t**3 - 9395*t**2 - 11?\nAnswer: -1636968*t - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 88, 134, 180, 226, 272?\nAnswer: 318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 9643 + 3\nAnswer: 9646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-187)\/(-119) - (-8)\/(-14)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 235 and 423?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(2)*5 + sqrt(14))\/sqrt(7).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -2*w + 297, -17*w + 4*u = -18*w + 165. Differentiate 75 + 63*a**3 + 196 - 53 + w*a**3 with respect to a.\nAnswer: 648*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1666906 or 1667165?\nAnswer: 1666906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1105, 1341, 1577?\n\"Answer: 236*j + 869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 135537*w - 135537*w + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x**3 - 31*x**2 + 37*x + 16. Let v(d) = -4*d**3 + 16*d**2 - 19*d - 8. Let i(a) = 3*u(a) + 5*v(a). What are the prime factors of i(12)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -3*n**2 + 3*n - 5. Let t be q(4). Let x = t - -108. Suppose -k + x = 2*p + 2*p, -4*k + p + 200 = 0. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 b when three letters picked without replacement from aawvbcvcvbcvw.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 7*s + 39. Let v be y(-5). Suppose v = 5*p - 116. What is the derivative of p*f**4 + 0*f**4 - 181 + 208 wrt f?\nAnswer: 96*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -365.044 + 365. Let q = v - -0.0440566. Round q to 6 dps.\nAnswer: 0.000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {q: 1, o: 6, z: 1, u: 6, x: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 29396608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-158*d - 155*d - 3 + 314*d)*(-d + 0 + 0)*(23 + 7*d - 23) to the form a*d + t*d**2 + r*d**3 + w and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1745 + 1744. Let w = -44 + 87\/2. What is the closest to q in 1\/4, w, -3.4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 152377*r*t + 105099*t wrt r.\nAnswer: 152377*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117588621 is divided by 2375?\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j**5 - 60*j**4 + 339*j**3 - 192*j**2 - 60*j = 0. What is j?\nAnswer: -5, -2\/9, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3*m = -97, y + m - 5 = 16. Suppose -118 + y = -p. Suppose 4*z = 22 + p. Calculate the remainder when 118 is divided by z.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 148?\nAnswer: -3\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3, -36.\nAnswer: -36, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 - (-1)\/(-2)*(0 + 0). Suppose 0 = 3*x + s*m - 7313, -4 = -3*m + 8. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-15)*(-150)\/(-45)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 344*b + 120 = 364*b. Solve 3*s + b + 18 = -3*l, -l = 4*s + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (-2*1 - (-6608)\/(-16)). What is the second derivative of -v*x**2 + 0 - 2 + 32*x + 1 + 332*x**2 wrt x?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -i**3\/3 - i**2\/2 + 7*i - 28. Determine u(7).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of b**4\/12 + 5*b**3\/6 - 7*b**2\/2 + b. Give g(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 2*m**3 - 14*m**2 + 7*m + 7. Determine r(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 g when three letters picked without replacement from {g: 3, t: 2, m: 1, r: 1}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 699303?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 34\/5 of a decade?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 389325.61 rounded to the nearest 10000?\nAnswer: 390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 419, 993, 1799, 2837, 4107?\nAnswer: 5609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d**(-5)\/d)\/d)\/d)\/d)\/d*d**(2\/5)*d\/d**(2\/25)*d**(-5\/4)\/d)**49 assuming d is positive.\nAnswer: d**(-53557\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from chchchhpchpp. Give prob of picking 3 p.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r**(-1\/6)*r)\/(r*r**(1\/8)))**(-21\/2))**(-23))**(-2\/61) assuming r is positive.\nAnswer: r**(1127\/488)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1139, -8620, -29229, -69626, -136471?\n\"Answer: -1110*l**3 + 96*l**2 + l - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 PM and 9:20 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9135743*v**3 + 2*v**2 + 131*v + 330178.\nAnswer: -54814458*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2. Let c be 3\/(9\/21) + -1. Suppose o - c*o = -10. Let n(a) = 0*a**2 + a**2 + a**o - 5*a**2. What is j(n(u))?\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -2*q + 14, -3*s + 3*q - 5*q + 10 = 0. Solve -s*j - 1 = -13 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -2*w**2 + 14*w + 16. Let l be i(8). Solve l = -u + 6*u - 15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3\/6 + s**2\/3 - s\/2 = 0. Calculate s.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 21149124 and 39.\nAnswer: 274938612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -98816*v**3 - 161992 wrt v.\nAnswer: -296448*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52107880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -3*u - j + 44, 2*j + 16 = 2*u. Let m = u + -3. Let t = m - 0. Is t a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/6*(-3)\/(-4). Let t be 1*6\/9*z\/4. Factor 2\/3 + t*a**2 - a.\nAnswer: (a - 2)*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n + 1. Let x(v) = 631*v - 6. Determine 2*x(u) + 10*y(u).\nAnswer: 1232*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, g: 1, c: 1, t: 1, p: 2, w: 2}. What is prob of sequence lc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(8) - sqrt(128)*-2)\/((sqrt(48)\/sqrt(4))\/sqrt(3)) - -4*3*sqrt(162)*2)**2.\nAnswer: -405000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104 = 3*f - 11. Let l = f + 50. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - 15*h**2 - 2*h - 2. Suppose 5 = -2*q + p - 24, 0 = -3*p - 3. Let f be v(q). Solve -2*z - 3*z = 2*d - f, -3*d + 5*z - 8 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 9, f: 11}. What is prob of picking 3 f and 1 i?\nAnswer: 99\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, 14861, -6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -6*o**2. Let l(i) be the third derivative of i**5\/120 - i**3\/2 - 2*i**2. Let b(w) be the first derivative of l(w). Calculate x(b(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 4*c - 40. Suppose 4*p - 20 = -0*p. Solve t - 1 - 1 = -b, -b - p*t = c for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 12, m: 3}. What is prob of picking 2 m and 1 x?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 0, 3*d + 11*d = 5*m + 9*d for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times -12\nAnswer: 8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 s when two letters picked without replacement from ffojfosoroff?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-two fifths of a meter?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -4*u + 7068, -472*u = -469*u + 2*r - 5296. Is u a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -125.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -572533 by -5.\nAnswer: 572533\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-52349*b - 52364*b + 104785*b + 8)*(-3 + 2 - 1) to the form n*b + j and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**3 - 842045*y**2 + 5894030*y + 6736080 = 0.\nAnswer: -1, 8, 168402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, h: 11}. What is prob of picking 1 h and 3 t?\nAnswer: 11\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 8:04 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1232 + 33137?\nAnswer: 34369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 8 + 3 + 1\/1*-8\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17594 + 9140. Let x = -4487 - g. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -128545 and -133701 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37376 (base 10) to base 14.\nAnswer: -d89a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 2*k + 1074, 146*w - 145*w - 179 = -4*k. What is the remainder when 598 is divided by w?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14562080.1us to days.\nAnswer: 0.00016854259375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 99635*w + 104736*w - 204373*w + w**3.\nAnswer: w**3 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1259.681 rounded to the nearest ten?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 294972 divided by -564\nAnswer: -523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -2*x**3 - 13*x**2 - 5*x + 2. Let j be n(-6). Which is the third biggest value? (a) 0 (b) 2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123372990 divided by 456937.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*v**3 + 3*v**3 + 4*v**3)*(-471*v + 2614*v - 624*v) to the form h*v + l*v**2 + y*v**4 + u + f*v**3 and give y.\nAnswer: 4557","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58682631 > 58682631?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.11 - -10.1. Let a = -5 - -3. What is the nearest to 1 in 5, a, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**3\/6 - m - 66. Let s(k) = k - 1. Give 3*f(u) + 6*s(u).\nAnswer: 3*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -3 + 37 - 12 - 2*d**2 - 19*d**3. Let b(g) = 56*g**3 + 7*g**2 - 66. Let n(w) = -2*b(w) - 7*p(w). Differentiate n(c) with respect to c.\nAnswer: 63*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 543?\nAnswer: 540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*a - 15 + 1 = 7*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**2 - 228570*u - 6858000 = 0.\nAnswer: -30, 228600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/13 - (3 + (-1244)\/364)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5837 bigger than 5836?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -17 - 3?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3227336, 3227351, 3227376, 3227417, 3227480, 3227571, 3227696?\nAnswer: 3227861","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**3 + 0*p**3 + 3*p**3)*(-118 - 18 + 26)*(-1 - 6 - 4) as q + z*p + k*p**2 + u*p**3 and give u.\nAnswer: 3630","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + x - 27 = -4*f, -1 = -2*x + 3*f. Suppose -2*z - 4*m = -14, -x*z - m = m - 11. Let i = 22 + z. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 1152 + 888. Let v = o + 3576\/7. Find r such that -2\/7*r**2 - 4\/7 - v*r = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*u + 6 = 12 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11112301 (base 4) to base 14\nAnswer: -7dcd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 85\/4 of a minute?\nAnswer: 1275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-2)*26\/(-39)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1029*j**2 + 168*j - 48\/7.\nAnswer: -3*(49*j - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 2*o - r = -238, 3*r + 9 = 0. Let z = 1931 + o. Round z to the nearest 100.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 4*x**4\/3 - 11*x**3\/2 + 2*x**2\/3 = 0.\nAnswer: 0, 1\/8, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/370480 and -79\/320.\nAnswer: 1481920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h - 3*p - 1311 = 0, -5*h + 3*p = 2153. Let k = 8225\/19 + h. Is -1 at most as big as k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.74 + 3.94. Put n, -4, 5\/3 in decreasing order.\nAnswer: 5\/3, n, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 - x**2 + 2*x - 1. Let f be i(1). Let b = 714\/5 - 142. Factor -b*w - 2\/5*w**f + 0.\nAnswer: -2*w*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 694641 is divided by 885?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 2*a = -30, -2*c - a + 3*a = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**3 - v**2 - 5*v + 1. Let w(q) = -q + 6. Let s be w(6). Suppose -4*d + 5*x + 21 = 0, 4*x + 0 + 4 = s. Is k(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65284.\nAnswer: 2, 19, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zuuuuuzukuuzzuik. What is prob of sequence kk?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -64 + 33*y + 28*y**2 + 6*y + 55*y + y**3 + 21. Let o be f(-24). Suppose 7 = n - 13. Solve 0*c + n = o*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -2*w, 0 = 3*n + 2*w - 6*w - 14 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**2 - 36245*x + 36246.\nAnswer: -(x - 1)*(x + 36246)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/3609216 and 83\/3120.\nAnswer: 18046080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s + 4*s - 3*s)*(0 + 0 - s) + (0*s - s + 2*s)*(5 - 21*s - 5) as c + q*s**2 + g*s and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 7\/1407653?\nAnswer: 7\/1407653","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 less than or equal to 24224\/5427?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 20 - h**3 + 35.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/4)\/y)**(-19)\/(y\/y**6)**(3\/5) assuming y is positive.\nAnswer: y**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -64\/23 - -4823\/1725. Does i = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7025.6889 - 7026. Let t = v + 0.308. Round t to 3 decimal places.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 29049153?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4852 is divided by 205.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7416318 to the nearest integer?\nAnswer: 2723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/(-3) + 3 + 2. Suppose -l*c = -7*c. Suppose -2*y = -5*t - 8, -4*y = -4*t + 21 - 25. What is the closest to 0.3 in y, -5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 145, 299, 443, 571, 677, 755, 799, 803?\nAnswer: 761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 138 = 3*m - 4*a, -a = -m + 67. Which is greater: m or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0592 or 3\/55?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1573 and 42633019.\nAnswer: 1573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -59592818955.24 + -0.2.\nAnswer: -59592818955.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5492*p - 1530 = -5565*p + 587 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 6*o - 40. Let g(m) = m**2 + 31*m - 7226. Let x be g(71). What is l(x)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2527*-3.\nAnswer: -7581","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15745 + -14107. What is the greatest common divisor of n and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -276\/3186431 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 157 + -77. Let i(x) = x**2 + x + 2. Calculate the least common multiple of i(-2) and w\/(-32)*(-22)\/5.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Find the second derivative of -11 + 14*n + 10 + 1 + 2*n**h wrt n.\nAnswer: 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:09 AM and 5:32 AM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 128 divided by -6\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-15)*97241\/40*-34. Let z = -27551 - m. Let f = -21475\/12 + 1799. Calculate the common denominator of z and f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.07, 3, -2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 7:16 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 take away -182280?\nAnswer: 182307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4521, 3, -5 in ascending order.\nAnswer: -4521, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of 149*y**5\/5 - 270*y**2 - 823*y. Differentiate o(a) with respect to a.\nAnswer: 1788*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3 + 199686*j**2 - 399366*j + 199682.\nAnswer: -2*(j - 99841)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 13\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 1473 - 207. List the prime factors of i.\nAnswer: 2, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5669a (base 11) in base 3?\nAnswer: 11011112000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**2 - 5*d + 26. Let o(z) = z**3 - 6*z**2 + 124*z - 355. Let w be o(3). Give t(w).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 211 and 0.4.\nAnswer: 211.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l - 13*l + 2*l - 14 - l**2 - 4*l. Is 16 a factor of k(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -197, -107, -15, 79, 175, 273, 373?\nAnswer: 475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3622567059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -26437, -26442, -26447, -26452, -26457?\n\"Answer: -5*z - 26432","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 36 = 29*k + 86 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 greater than -242\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-90)\/(-12))\/(-5)*28*(-40)\/(-210)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-9)\/(-6) + -3 + 1). Suppose 36 = 7*a - 3*a - n, u*n + 8 = 0. Calculate the remainder when 14 is divided by a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4345724g to micrograms.\nAnswer: 434572.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*i - 924 = 0, -4*i - 1037 = 3*p - 348. Let b = p + 234. Put -4, b, 1 in decreasing order.\nAnswer: 1, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2238578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 smaller than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 63 - 101 = -3*f, -3 = -3*g. Suppose 53*z - f*z = -360. List the prime factors of z.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the second derivative of -7*s**5\/10 - 10*s**3\/3 + 3*s**2\/2 - 13*s. Let t(l) = -5*l**3 - 7*l + 1. Let p(i) = -6*m(i) + 17*t(i). Give p(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 2*s - 3*s**2)*(17 - 14 - 73*s**2 + 1).\nAnswer: 219*s**4 - 12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 9:07 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*b = 91*b + 29*b - 580 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/4 - 4\/2. Suppose i - 41 = 6*d. Let b be 3\/(-2)*d\/(-9). Which is bigger: -4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 0*u - u + 2*u + 4 + 0*u. Let v(m) = 1. Let c(s) = s - 5. Let q be c(7). Suppose n - 1 - q = 0. Give n*v(i) - h(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 516719 to the nearest integer?\nAnswer: 719","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + (2 + sqrt(153) - sqrt(153)) - (4 + sqrt(153) + 1) - (sqrt(153) + (sqrt(153) + 0)*-1)*-1)*6*5)**2.\nAnswer: 43200*sqrt(17) + 195300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -377172 + -37?\nAnswer: -377220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(100) + (-1*sqrt(100) - sqrt(100)) - sqrt(100) - sqrt(100))\/sqrt(4) + -3*sqrt(900))\/(5*(sqrt(420)\/(sqrt(21)\/sqrt(3)))\/sqrt(12)).\nAnswer: -21*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 2\/155, -4, 0, 1\/2, 0.9, 3269?\nAnswer: 2\/155","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*u - 40*u = 110. Calculate the greatest common factor of 2409 and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 837? (a) 0.4 (b) 56 (c) 0 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -21431 - 3?\nAnswer: -21434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 474 + -143. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200\/(-25)*12\/(-32)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*v - 16*v = -18. Let u be 0\/(v + -3) - 0. Solve 3*z = m, -5*z - m - m = u for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*l + l - 8*l**3 + 6*l**3 as x*l + d*l**2 + w*l**3 + f and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - 0. Let c = 12 + 13. Let p = c + -25.3. What is the nearest to 2\/7 in p, q, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3788.791 rounded to the nearest ten?\nAnswer: 3790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*(s*s**12)\/s*s*s))\/s*s*s*s**(1\/2)*(s*s**(-6))**(-34) assuming s is positive.\nAnswer: s**(315\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(300) + 1)*-6)**2.\nAnswer: 25920*sqrt(3) + 390096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 42\/(-7)*((-10)\/2)\/30\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 654 - 696.48. Let l = t - 0.52. Let o = l - -42.9998. Round o to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-60)\/42 + 2)\/((176\/952)\/11)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 - g + 1. Suppose -9*d + 5 = -4*d. Let u be -2 + d + (4 - 3). Calculate i(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9.132? (a) 0 (b) 3\/5 (c) 1 (d) 2 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -19.05, 1, 0.4, 1\/1974, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434674 divided by -1217337?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2*-1 - -4) + 4. Let v be -2 + 4 + 1 + -1. Suppose 0 = c - v*c + 6. What is the highest common factor of z and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1233.735 to the nearest integer.\nAnswer: 1234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*o**3 + 15*o**2 - 26 - 46*o**2 + 16*o**2 + 13*o**2 wrt o?\nAnswer: -9*o**2 - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-6))\/s*s*s*s**(2\/9)*(s*s**(-2\/7))**(-2\/61) assuming s is positive.\nAnswer: s**(-14608\/3843)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19*j**5 - 18*j - 19*j + 2*j**5 wrt j?\nAnswer: 420*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -18. Let t = -3 + q. Which is greater: 0 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 3. Let v be h(0). Suppose -3 = v*a - 6, 3*a + 152 = 5*s. Suppose -41 = -2*t - 5*o, 2*t = -o + 6*o + s. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9.92 + 10. Let v = b - -0.42. Sort -0.1, 0, v.\nAnswer: -0.1, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 16) to base 3.\nAnswer: -121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -202861648978 plus -0.66?\nAnswer: -202861648978.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 7:19 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -44*h*r**3 + 2*h*r**2 - 147*h*r - r**3 + 5*r**2 - 2609*r - 9 with respect to h.\nAnswer: -44*r**3 + 2*r**2 - 147*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6516*j**3 - 3011*j**2 wrt j.\nAnswer: 39096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1446832 or 1446833?\nAnswer: 1446832","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 55*j**2 + 4*j + 1. Let a be r(4). Suppose 5*t + 2*y = -y - a, 358 = -2*t - y. Let l = -84 - t. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(1\/2)*c)\/c*c)**(-1\/38)*(c\/(c\/(c**(-5)*c*c)))\/(c\/(c**(-4)\/c)) assuming c is positive.\nAnswer: c**(-687\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 8:38 PM?\nAnswer: 2:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 0. Let u = l + 7. Suppose b + 3 = -2*t - 3*t, 4*t - 3*b - 9 = 0. Sort u, t, -2 in ascending order.\nAnswer: -2, t, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f - 8. Determine t(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the first derivative of 442*a**5\/5 - 221*a**3\/3 + 61. Find the third derivative of d(r) wrt r.\nAnswer: 10608*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 + 13 - 2\/1. Solve g = 2*q + 1 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*c - 4. Let z be 5 + (-8)\/c + -2. Let f = 12 - z. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -5*w**4\/4 - 4*w + 2. What is the first derivative of h(f) wrt f?\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 321346?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3\/34 or -8\/35?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -586\nAnswer: -117.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of r**7\/5040 - 7*r**6\/360 - r**5\/12 - 13*r**2. Let n(t) be the third derivative of q(t). Give n(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 10*n**5\/11 + 4*n**4\/11 - 120*n**3\/11 - 208*n**2\/11 - 64*n\/11 = 0?\nAnswer: -2, -2\/5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*n = -40, -5*x - 21 = -9*x - n. What is the remainder when 82 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -2, 1.5, 6.64, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10210100212020 - 1?\nAnswer: 10210100212012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28336 and 1232?\nAnswer: 28336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13587 - -13559. Sort -3, i, 20 in increasing order.\nAnswer: i, -3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**4 + 3*w**3 - 3*w**3)*(3*w - 1 + 1) - 161*w**5 - 92*w**5 + 444*w**5.\nAnswer: 200*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (26 + -29 - 61) + 120\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 + 57*h**2 + 2*h + 119. Let m be r(-57). Solve m*f = -3*c - 10, 5*c = -0*c + 2*f - 27 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96 + -214. Let k = 221 + v. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*j + 5*j - 46*j + 88779. What is the remainder when j is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.7 - -0.6. Let f = t - 0.1. What is the closest to f in -2, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 8*g**2 - 3*g - 12. Let v be q(7). Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 + -7. Suppose -5*b = -3*b + d. Let c be 3*b\/(3\/(-1)). Solve 4*p + 5*r - r - 8 = 0, 5*r - 10 = -c*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -2 (b) -258 (c) -0.1 (d) -4 (e) 0.3 (f) -2\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 4*v**2 + v + 5. Let c(h) = -h + 33. Let l be c(29). Let t be n(l). Calculate the highest common divisor of t and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1322 - 12?\nAnswer: -1334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1111 - -155. Suppose u = 133*q - 127*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/2)\/(x\/((x**24\/x)\/x)*x))\/(x*x*x**(-4\/5)*x)**(-1\/72) assuming x is positive.\nAnswer: x**(7391\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-3 + 6 + -8)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2093744.\nAnswer: 2, 130859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 12 + 4. Let a be -4*(-2)\/16*n. Suppose 0 = -4*x + 3*u + 30, -a*x + 2*u = 2*x - 28. Is 6 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 9*a**2 + 13. Let c be (-117)\/(-6)*8\/3. Let x be (-3)\/(-2)*c\/6. Let w(j) = -j**2 - 6 - 3*j**2 + 0*j**2. What is x*w(g) + 6*o(g)?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 45773\/115 + -398. Let n = y + 66\/115. Let s = -5 - -2. Put s, n, 5\/2 in decreasing order.\nAnswer: 5\/2, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 29136, 8 in ascending order.\nAnswer: 8, 23, 29136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 AM and 5:04 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 45 = 36. Let r(s) be the third derivative of 0*s + 0*s**6 + 0 + 0*s**l + 0*s**5 + 0*s**7 + 1\/1848*s**8 + 3*s**2 + 0*s**4. Factor r(y).\nAnswer: 2*y**5\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 2 = -2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3 - -5)*-1*-13. Suppose 5*g = i - 9. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2 = -3*j, j = -3*f - 10 - 0. Put f, 4, 14 in decreasing order.\nAnswer: 14, 4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 q when two letters picked without replacement from {q: 3, m: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*k - 30. Let w be (-5)\/(-2) - 3\/k. Let 0*d + 0*d + 2*d**4 + 3*d**5 + 2*d**w - 3*d**3 = 0. Calculate d.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 86*w = -1120 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 103233608 by 1064264.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*h + 22, 3*l + 30*h = 29*h + 19. Let x(v) = -v**2 + 6*v + 12 - 4*v + 2*v. Let z be x(l). Let w(s) = s - 5. What is w(z)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + 49. What is the remainder when 64 is divided by o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2306050849 to the power of 1\/2, to the nearest integer?\nAnswer: 48021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b = -7*b + 22. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 18 = 3*o, 5*o + 60459*p = 60457*p + 18 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + n + 244 = 0, -6 = -4*n - 14. What is the highest common divisor of m and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 54325 and 9696350?\nAnswer: 1325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*4\/24*2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of -24*a**2 + 5\/112*a**8 + 0*a**3 + 13\/60*a**5 + 0*a**4 + 0*a**6 + 0 + 0*a**7 + 0*a. Find the third derivative of h(z) wrt z.\nAnswer: 900*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -3*b**2 - 3*b + 3. Let p(g) = g**2 - 5*g + 6. Let l(f) = -p(f) + v(f). Let u(j) = 12*j**2 - 5*j + 8. Determine 11*l(y) + 4*u(y).\nAnswer: 4*y**2 + 2*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 x, and 1 w when three letters picked without replacement from jjwrxhh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -470 + -28?\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -1, 5, -15, 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4 or -54381?\nAnswer: -54381","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 5066994 and 0.974.\nAnswer: 5066994.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 0*y - y + 6*y. Let i = -35 + 38. Let a(t) = -3*t - i*t - t + 5*t. Determine a(j(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 3\/401?\nAnswer: 3\/401","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + 4*c - 6*c - 12172 + 12172 - 180*c + (0 - 5 + 4)*(-3*c + 0*c - 3*c).\nAnswer: -177*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/5 - 279*k**3\/5 + 2646*k**2 - 195412*k\/5 + 189336 = 0 for k.\nAnswer: -322, 14, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.732 and -327.\nAnswer: 239.364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 6705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255 = 5*c, 0 = -3*l + 3*c - 19*c + 813 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 494200?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -25842216, -25842224, -25842236, -25842252, -25842272, -25842296, -25842324?\n\"Answer: -2*z**2 - 2*z - 25842212","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*x**3 - x + 2*x + 0*x + 4*x**4 + 2 + 6131*x**2 - 6134*x**2 to the form g + b*x**4 + s*x**2 + v*x**3 + l*x and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1710a7 - -6a?\nAnswer: 171122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1331, -2674, -4017, -5360, -6703, -8046?\n\"Answer: -1343*t + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 7972 divide 1006767936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 18366, 18366, 18364, 18360, 18354?\n\"Answer: -k**2 + 3*k + 18364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 67447 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 7*k**6\/75 + 17*k**5\/100 - k**4\/10 - 7*k**3\/30 + k**2\/5 + 237*k. Let b(v) = 0. What is v?\nAnswer: -1, 2\/7, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.129 + 0.029. Let n = 408 + -405. Let j be 4\/14 + 12\/7. Which is the third biggest value? (a) g (b) n (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -36 - -11?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 114389 and 114398 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1 - 511*v + 1005*v - 509*v. Let t(x) = 45*x - 3. What is -11*o(b) - 4*t(b)?\nAnswer: -15*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*o**2 + 5*o**2 + 0*o**2 + 11*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 7. Let i(u) = -u + 10. Let t be i(6). Solve t - d = -s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/4*17\/(-510).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 5*y - 0*y - 24, 0 = 2*x - 4*y - 12. Let l be 2*1\/(-2)*-4. Let p = x - l. What is the highest common divisor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1902500 rounded to the nearest 100000?\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q - 5. Suppose -25*m + 14*m + 66 = 0. Calculate z(m).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 3*t - 22, -13*g + 2*t = -8*g + 17 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*s**3 + 384*s**2 - 8078*s?\nAnswer: 12*s + 768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/9, 3, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of 6 + 0*o + 2\/3*o**3 + 0*o**2. Let c(t) = 18*t - t + 4*t. Give s(c(a)).\nAnswer: 882*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 604116 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**2 + 4*g. Let p be r(0). Let w = -3.264 + -49.736. What is the smallest value in -3\/2, p, w, -2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - -2. Suppose j + y = 2*j. Differentiate j - 2 + 2 + 2*s with respect to s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 158916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -7*c**2 + 951*c - 7160. What is g(8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a millimeter in micrometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 4768?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 182\/(-4) + 24\/16. Let h = -42 - i. Solve -2*s = -6*s, -3*p + h*s + 12 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000110111011 + -1010010000?\nAnswer: -1010001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 6, 0.1, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4352\/160)\/(-34))\/((-6)\/(-9)*(-615)\/25)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.857 + 0.143. Let u = 0.9 - 1.9. Which is the nearest to -1\/5? (a) y (b) u (c) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/126 and -91\/48.\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 6*k + 8 - 4*k + 7 in the form s + b*k and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 - -8. Let v = 4 - z. Is v at most 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28182 divided by -154\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s**2 - 93*s - 31. Let v be c(-13). Let q be (-10)\/(-14) - (-6)\/21. Suppose -4*w = -u + 4, 0*w - u - 4 = 4*w. Sort -3, q, w, v.\nAnswer: v, -3, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 (base 5) to base 2\nAnswer: 10001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - 12?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-40 + 40 - a)*(3 + 2 - 3)*(1 + 0 - 6)*(a + a - 3*a)*(-2 - 6*a + 2 + 2).\nAnswer: 60*a**3 - 20*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 - -78. Let h be ((-6)\/(-4))\/((-4)\/31656*c). Suppose 2*j + 5*y - h = 0, -y = -0*j + 2*j - 3977. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 2*d = -354, 450*d = -2*k + 446*d + 354. Put k, -1, -4 in decreasing order.\nAnswer: k, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 207.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2. Let h(i) = -i**2 - 1665*i + 1665*i. Determine h(q(f)).\nAnswer: -4*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16874 + -9165. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*u**3 - 4*u**3 - 2757*u**2 + 3*u**4 + 2748*u**2 + u in the form j*u**3 + c*u + k*u**2 + q*u**4 + f and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/12)\/((-2)\/(-6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -225*g + 173*g - 207*g. Let y(c) = 2*c. Determine w(y(h)).\nAnswer: -518*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9281953 - 1818047. Round g to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1.475 - -1.275. What is the closest to a in 2\/11, -1\/9, -19?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -4*o. Let m(u) = 168*u**2 - u. Calculate m(l(w)).\nAnswer: 2688*w**2 + 4*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20210170.\nAnswer: 2, 5, 2021017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 - 9*c**3 - 7*c**3 - 3*c**3.\nAnswer: -15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 587738.558 to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 46*j**2 - 8*j - 188. Calculate x(46).\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 165 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1529184366?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 146 + 35 + 52 + 2*t - t to n*t + u and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 3 + ((-6)\/(-3) - -3). Suppose -2*w + 1 = -4*i - z, -12 = -4*w + 4*i. Which is bigger: w or -3\/10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times 26944\nAnswer: -134720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sixj when four letters picked without replacement from {x: 3, s: 1, j: 4, c: 9, i: 1}.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/5))**31)**(-4)*(n\/(((n**(2\/9)*n)\/n)\/n)*n*n**(-5)\/n)**49 assuming n is positive.\nAnswer: n**(-9337\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**4\/2 - 5*q**3 - 30*q**2. What is the remainder when g(6) is divided by 22?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/((30\/12)\/(2\/(-18))).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -36522814 less than -22997?\nAnswer: 36499817","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 111100011110 (base 2) to base 10\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -5, 2, -146, 0, 3 in ascending order.\nAnswer: -146, -5, 0, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29.2 in 0.3, 2\/11, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 + 4*a**2 - 2*a. Let l(t) = 6*t**3 + 11*t**2 - 6*t. Determine 11*f(q) - 4*l(q).\nAnswer: -2*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/8)\/((-4)\/80). Suppose p*w = -0*w + 115. Calculate the remainder when w is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(3 - (-108)\/(-33)). Suppose 0 = -l*u + 7*u + 664. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32 - 452*k + 3970*k + 33 - 65)*(4*k - 3*k - 3*k).\nAnswer: -7036*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*i + 3 = 0, 3*j = 4*j - i - 1. What is the third derivative of -172*k**5 - 9*k**3 + 9*k**3 - 17*k**2 + k**3 - 3*k - k**j wrt k?\nAnswer: -10320*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6999*c + 5113*c - 3104*c - 9251*c.\nAnswer: -14241*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -102a (base 15) in base 12?\nAnswer: -1b87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 29 = -34 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*u - 5 = -33 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29 - 17. Let o = s - 11.7. Let w = 0.1 - 1.1. Which is the closest to -1\/4? (a) -4\/9 (b) w (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.55404um in nanometers?\nAnswer: 67554.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 5 + 1 + 1 - 1 + (-1 + 1 + 2)*(1 - 2 - 1) + 2 + 3 - 3)*(-3*x + 18*x - 4*x) as b*x + l and give b.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3540 and 17376?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 11. Let f(a) = -a**2 - 8*a - 3. Let g be f(-5). Let u be 49\/w - g\/(-16). Solve -3*l + u = -2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) + -1*sqrt(847) + -1 + 6*2*sqrt(847) - ((sqrt(847) + sqrt(847) + -1)*-1 + 1))**2*-3.\nAnswer: -498063 + 2772*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Express 4217*w**2 - 4269*w**2 + 2 - 1 - 18*w**3 + (-w**2 - 5*w**3 + w**2)*(-3 - 1 + 2) as t*w**2 + p + o*w + f*w**3 and give t.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of -5\/2*a**6 + 0*a + 0*a**5 + 0*a**4 + 11\/3*a**3 + 0*a**2 + 1. What is the third derivative of v(x) wrt x?\nAnswer: -900*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15500125603 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 3:50 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + -1 - (31 - 29).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -69*o + 2. Let b be s(0). Factor 8\/11*t + 2\/11*t**b + 6\/11.\nAnswer: 2*(t + 1)*(t + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 11 = -f - 0*f, 2*f = -4*j + 6. What is the highest common divisor of 63 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 1910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**4\/2 - 2*o**3\/3 - 3*o**2\/2 + 3*o - 3. What are the prime factors of c(3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + v**2 + v + 7. Let w(u) = 3*u - 18. Let n be w(6). Let f = 108 + -103. Suppose -7*a - f + 5 = n. Calculate t(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -4. Is c a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -5 (c) 9\/10 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 9*v - 11696 = 0. Suppose 0 = b - t - 1466, 2*t - 5*t = b - v. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 104 - 72. What is the highest common divisor of c and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + (-66)\/70)*-5\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.03 - -0.09. Let v = -4.082991 + 0.082991. What is the closest to -0.1 in 4\/3, j, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1378, 0.2, 2.19, -4\/9 in descending order.\nAnswer: 2.19, 0.2, -4\/9, -1378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 89331035 to the power of 1\/4, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1007*g = -3814*g + 136133 + 167023 for g.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 3*w - 1. Let t(c) = 7*c - 2. Let b(f) = -9*r(f) + 4*t(f). Suppose -56 = -3*l + 2*l - 3*p, 0 = 4*p - 20. Let o = l - 47. Determine b(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6 + 7)*(2 - -5). Suppose -f*t = -t - 24. Let y(d) = -6*d + 7 - t - d + 2*d. Calculate y(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11.1 + 1.1. Let y be (-26)\/(-8) - (-5 - -7). Which is the nearest to 1? (a) 3 (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/3, 40, -5, -7\/4, -2\/5, 12?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124 = -69*j - 400 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 24830 and 320?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -1\/6*k**4 + k**2 + 0 - 1\/10*k**5 + 2*k - 1\/3*k**3. Let z(y) = -y**2 - y + 1. Calculate o(f) - 2*z(f).\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 8.5. Let u = s + 1.499856. Round u to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -7*u**3 - 2*u**2 - 6. Let w(i) = 8*i**3 + 2*i**2 + 7. Let b = -8 - -15. Let x(o) = b*c(o) + 6*w(o). Factor x(p).\nAnswer: -p**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/4, -4362728, -1\/24?\nAnswer: -4362728","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 1, h: 1, q: 3, l: 1}. What is prob of sequence rq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -272*j**2 - 127746 - 127748 + 5755*j + 255494 wrt j.\nAnswer: -544","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(1573) + 0 - sqrt(1573)) - sqrt(1573)) + (sqrt(1573) - (1 + sqrt(1573)))*-1)**2 + -3.\nAnswer: -22*sqrt(13) + 1571","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 35 = -1. Suppose -3*f = -6*f. Let l = 22 - f. What is the lowest common multiple of l and d?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000205127 to 6 decimal places.\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-48) - (-5772)\/(-96) - 154\/(-14).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, 8, -4 in increasing order.\nAnswer: -15, -4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/18*150\/(-20)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*z**2 + 0*z**2 + 0*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-2 - -1) - (-1 + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 16 = 5*f. Suppose -4*r + f*r - 164 = 0. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 311244?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -7, 2, 15, 32, 53, 78?\n\"Answer: 2*r**2 + 3*r - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -15. Suppose 4*p - 68 = -3*z, 5 + 10 = 3*p. Suppose -z + m = -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: Calculate prob of sequence vppp when four letters picked without replacement from {v: 3, p: 8, i: 5}.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -14*a + 7. Let s(g) = -3*g + 2. Let u(n) = -7*s(n) + 2*z(n). Let b(j) be the second derivative of j**4\/6 - j. Calculate u(b(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28037\/(-6095)*(1 + 0)?\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/(-6))\/((-5)\/8990) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420274591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*2*sqrt(156))\/(sqrt(24)\/sqrt(72))*1.\nAnswer: 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-1 + sqrt(128))**2 + sqrt(128) + 1 + 3)*1.\nAnswer: -8*sqrt(2) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b - 15. Let y(d) = -6*d + 31. What is -7*r(c) - 3*y(c)?\nAnswer: -3*c + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -42*x - 3809. Determine z(-91).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1916, 3885, 5906, 7979, 10104, 12281?\n\"Answer: 26*n**2 + 1891*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 PM and 9:28 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -48 (b) -9 (c) 10\/11 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 10:34 AM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -111.1998693 + 111.2. What is s rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.004, 0.01303, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + g. Suppose -3*x = 13 - 25. Suppose u + x = 3. Let k(r) = -r - 1. Suppose 6*y = 2*y - 4. Give u*k(w) + y*z(w).\nAnswer: -2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -14*k + 6 - 5 + 12*k - 24*k. Let b be d(-2). Let x = -27 + b. What is the remainder when x is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 72\/(-21)*((-217)\/(-2))\/31?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.79561t in micrograms?\nAnswer: 69795610000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 2:50 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4367, -4380, -4399, -4424, -4455, -4492?\nAnswer: -4535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 - 1172?\nAnswer: -1165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2 + 889*i**2 + 0*i + i + i + 0. Is j(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of 4*p**4\/3 + p**3\/6 + 32*p**2. Let z(c) be the third derivative of -c**4\/12 + 279*c**2. Calculate z(o(f)).\nAnswer: -64*f - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*y - 4*y - 6 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, l: 9}. What is prob of sequence ll?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -5 - -2) + 17 + (-754)\/50.\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47*k = 44*k + 5*p + 16980, 0 = -4*k - 5*p + 22710. What is the highest common factor of k and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 158.0185 milligrams?\nAnswer: 0.1580185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (5\/(-2))\/(53\/(-35404))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.02 to the nearest integer.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) 856 (c) -30 (d) -0.1 (e) 3 (f) -20\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -4.31, -30, 0, -1\/3 in decreasing order.\nAnswer: 3\/2, 0, -1\/3, -4.31, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2438178 divided by 13?\nAnswer: -2438178\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 4342833907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 729 and 438777.\nAnswer: 3948993","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -11 in decreasing order.\nAnswer: 3, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1011 (base 2) to base 5\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -976\/1425 - -18\/25. Does p = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence emb when three letters picked without replacement from {i: 2, m: 3, e: 9, b: 4, n: 1}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 25*m**3 + 13*m**2 - 84*m + 336. Calculate x(4).\nAnswer: 1808","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = 3*v - 2466, 11*v + 3291 = 15*v - o. List the prime factors of v.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 70171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 1, -35 in descending order.\nAnswer: 5, 4, 1, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3 - 1. Find the common denominator of -1\/18 and 1*h + (-1495)\/286.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5570350390?\nAnswer: 2, 5, 11, 17, 2978797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b832 + 2?\nAnswer: b834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 - 6*a**2 - 6*a. Suppose 3*r - 5 = -5*d, 334*d = -2*r + 331*d + 2. Let o(q) = -3*q**3 + 7*q**2 + 7*q. Give r*s(w) - 4*o(w).\nAnswer: 2*w**3 + 2*w**2 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120606 is divided by 2461.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 - 51. List the prime factors of (-474)\/(-2) + -3 + s.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3996 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 311237*q**3*s*w**2 + 184*q**3*s*w + 7*q**2 + 62501*q*w**2 - 2*s*w**2 - 90*s*w wrt q.\nAnswer: 1867422*s*w**2 + 1104*s*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4 + 13556\/28 - 12\/(-14).\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5415, 1\/5, -0.4, 0.1, 1, -399 in descending order.\nAnswer: 5415, 1, 1\/5, 0.1, -0.4, -399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 34*c**2 + 12*c - 12*c. Let g(a) = -a. Calculate g(b(y)).\nAnswer: -34*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 417475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/15*k**2 + 8\/5 - 16\/15*k + 2\/15*k**3.\nAnswer: 2*(k - 2)**2*(k + 3)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/5 - (14 - 19))*(1 + 8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 2:51 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 11 - 12)*(-2 - 1 - 1)*(1 + 2*y + 1 - 4).\nAnswer: 168*y - 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-16 - -8) - -45.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 take away 26?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60 by -9.\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**2 - 4*t**2 + 2*t**3 + (-2 + 1 - 1 + 4 - 4 - 2 + (3 - 2 + 1)*(3 - 3 + 1) + 2 - 2 + 1 + 9 - 8 + 4)*(0*t**3 + 7*t**3 + 2*t**3).\nAnswer: 38*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2 = -2. Let o(h) = -1. Let z(f) = -8 + 4 + f + 2 + 1. What is a*z(q) + 2*o(q)?\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 2\/71, -549\/19?\nAnswer: -549\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1717917911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 4\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41\/9, -0.1, -8319 in decreasing order.\nAnswer: -0.1, -41\/9, -8319","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 2*v**2 + 2*v + 2. Let i be p(-2). Let r(l) = i + 1 + 2*l + 0. Let n be r(5). Solve g - 5*a - 23 = 0, -n = -2*g - g + 2*a for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4848 <= -4847?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 3 = 3*a + 18, 10 = x - 2*a. Solve -q - y - 3 = -2*q, -4*q - 4*y - 20 = x for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.3, -0.13, -8774.\nAnswer: -8774, -0.13, 0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -11409915, -22819835, -34229755, -45639675, -57049595?\n\"Answer: -11409920*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 490 - 958. Let x = j - -483. Solve 2*l + 5*a - 2 + x = 0, -3*a = -l - 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1260 and 33012?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2\/3 + 6428*w\/3 + 17056.\nAnswer: 4*(w + 8)*(w + 1599)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from beblblnbebxbybbblxb. Give prob of picking 1 l and 1 x.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -10*i**3 + 11*i**2 - 34*i + 18. Let l(k) = 3*k**3 - 4*k**2 + 11*k - 6. Let d(h) = 7*l(h) + 2*w(h). Calculate the least common multiple of 4 and d(5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from hihhhhhhhhhih.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 19*t**2 + 40*t + 890. Let w be h(-19). Suppose -d = b - 54, -2*d - 5*b + 218 = 2*d. What is the highest common divisor of d and w?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115458 = 1895*k - 41827 for k.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 6:13 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*u - 5*r - 26, 0 = -r - 4. Let a(n) = n**2 - 4*n. What is a(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a3d (base 15) to base 10.\nAnswer: 25933","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -219961\/2 - 469*a - 1\/2*a**2 = 0. What is a?\nAnswer: -469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8583, 11195, 18281, 32079, 54827, 88763, 136125, 199151?\n\"Answer: 373*h**3 - h**2 + 4*h + 8207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 4\/7 (c) 1 (d) 38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 5*a + 8. Let d be u(6). Let j(t) = 10*t - 11 + 13*t + d*t. Is j(6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 61*w**4 - 86503*w**3 - 13288823*w**2.\nAnswer: 1464*w - 519018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.721 + -2.48. Let w = n - -0.134. What is w rounded to 2 decimal places?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, k: 3, f: 7}. Give prob of picking 1 k and 3 f.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -4422206?\nAnswer: 4422204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4083222 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 39*c - 16*c**2 - 2 - 6*c**2 - 37*c in the form v + a*c**2 + u*c and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 8 = 4*y, -14 = -5*y + 5*x - 49. Suppose 3*w + 6 = -0*w. Is w bigger than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -26\/11 (b) 4 (c) 0.5 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 95 in decreasing order.\nAnswer: 95, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -635843\/12 + 52924. Let n be (2245\/(-60))\/(-2 + 9\/6). Let q = n + w. Calculate the common denominator of 101\/6 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 220387110?\nAnswer: 2, 3, 5, 7346237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/(1617\/11) + (-30)\/(-14). Suppose -4*t = -0*t + 4*d - 8, 16 = -2*t + 3*d. Let a be -4 + (y - t - 0). Let b(v) = v + 5. Calculate b(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 19*l - 359. Let c be y(19). Let q(z) = -z**2 - 9*z + 22. Give q(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -25, -58, -105, -166, -241, -330?\nAnswer: -433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 101 + -92.3. Let v = -9.7 + f. Which is greater: v or 3.5?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 54 (b) 134 (c) 298\/39\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-44)\/(-315)*3 - (-70)\/(-245).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 AM and 11:11 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the second derivative of -o**3\/2 + 2*o. Let g(b) = -7*b**2 - 5*b + 5. Let q(i) = -i**2 - i + 1. Let a(r) = -g(r) + 5*q(r). Calculate a(s(x)).\nAnswer: 18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from {c: 2, i: 5, v: 1, b: 1}.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -151 + 146. Let i be 4\/6 - (-4)\/(-6). Sort p, 4, i in descending order.\nAnswer: 4, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.609018 rounded to one decimal place?\nAnswer: -30.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/7 (b) -48\/289 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9943*d + 4104*d + 5845*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -206\/55 + 50\/11. Which is the second smallest value? (a) m (b) -3 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4b6 (base 12) in base 8?\nAnswer: -1312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4.2 times 0.0506713\nAnswer: -0.21281946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, n: 6, l: 4}. Give prob of picking 1 l and 1 h.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49066 is divided by 1197.\nAnswer: 1186","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 973316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -38.099 * -597.6.\nAnswer: 22767.9624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -5*i + 7. Let j(s) be the second derivative of s**4\/3 - 4029*s. What is d(j(n))?\nAnswer: -20*n**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -9.8\nAnswer: 78.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (352 - 150 + 8*i**2 - 200)*(i**3 - 5*i**2 + 5*i**2).\nAnswer: 8*i**5 + 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k + 12. Let p be c(7). Suppose 0*g = 3*n - 3*g + 12, p*g - 20 = -2*n. Let d = 5 + 0. Solve n = 2*i - 3 + d for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a - 4. Let y be n(3). Let d = 9 - y. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81549 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 + 0. Let f = -62 + k. Let g be f - -7 - (1 + 1). Solve z + g = -0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -178 (b) 2\/11 (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 42\/1874585?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1816 - -5453\/3. Let s(h) be the first derivative of -l*h**3 - 9 + 5\/4*h**4 - 5*h**2 + 0*h. Solve s(o) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 143791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14496 and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.177136 litres in millilitres?\nAnswer: 1177.136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = -12*n + 8*n. Let w = -72 - n. Let l(q) = -q**3 + 7*q**2 - 6*q. What is the least common multiple of w and l(5)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r - 1. Let y(c) = -7*c - 5. Let b(q) = -6*m(q) + y(q). Let n be b(3). What is the common denominator of 95\/2 and (-36 + -1)*(-1)\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*l**2 - 152*l**3 + 64*l**2 + 109*l**2 wrt l?\nAnswer: -912","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(19) - 1*sqrt(19)*-1) + (4*sqrt(76)\/sqrt(4))**2*-2 - ((sqrt(19) - sqrt(76)\/sqrt(4)*3) + 2 - sqrt(171)\/(-6*sqrt(36)\/sqrt(4)))**2.\nAnswer: -24295\/36 + 28*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 266\/9, 0, -2.92?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 27? (a) 7 (b) 61 (c) 2\/15 (d) 0.4 (e) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tete when four letters picked without replacement from {e: 2, t: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -1 - 14*i + 25 + i**2 - 2*i**2 - 3. Let j be y(-15). List the prime factors of ((-3)\/j)\/(2\/(-192)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 210 divide 17105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2\/175, -289, 2\/3, 1\/5?\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - (33 + -16) - -26) + (49 - (0 + -2))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 243 or 218052\/901?\nAnswer: 218052\/901","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9\/(-18)*(11 + -3). Let x = -14 + 26. Put x, d, 0, 5 in descending order.\nAnswer: x, 5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*g**3 - 265*g**3 + 20*g**3 + (g**2 - 2 + 2)*(4 - 2*g - 4) + 0*g**3 + 4*g**3 - 3*g**3)*(-5*g**2 + 4*g**2 + 2*g**2).\nAnswer: -262*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-45))\/((-185)\/(-36075))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*2)\/sqrt(12) + -1.\nAnswer: -1 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245338?\nAnswer: 2, 241, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a litre in millilitres?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -461*b**3 + 3*b + 233*b**3 - 1 - 4*b**2 + 229*b**3. What is s(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7235 or -7186?\nAnswer: -7186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 + 39\/2. Which is the biggest value? (a) 0.3 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - (0 + -9 + 6 + 1)) + 17\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3096\/(-688)*(-2)\/(-21).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-47)\/94 - (-6)\/4)*21. Solve 2*o - 5*s = -51 + u, 3*s - 17 = o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of -4*j**7 + j**3\/6 - 12*j**2 + 2*j + 58. What is the second derivative of z(m) wrt m?\nAnswer: -3360*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 - -3.7. Let o = -1.7 + d. Let f = -13 - -13. What is the second smallest value in f, o, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77100000 rounded to the nearest 1000000?\nAnswer: 77000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 9302 and -4?\nAnswer: 9306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1342 + -1342.1. Let g(f) = f**2 + 3*f - 3. Let o be g(3). Let p be (1\/(-2))\/((-6)\/o). Are p and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75.28433 kilometers to centimeters.\nAnswer: 7528433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -100*x - 167*x - 55*x + 1216 - 19570 for x.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-112)\/(-5) + -1*1. Let d(c) = -2*c**3 + 11*c**2 - 61*c + 216. Let t be d(4). Is f at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*g - 94 + 94 as m + r*g and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 2*s. Let q be a(-3). Let i(v) be the second derivative of -v**4\/12 + v**3 - 3*v**2\/2 + 2*v. What is i(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -23*t**3 - 4*t**2 + 4*t - 2. Let u(f) = 24*f**3 + 3*f**2 - 3*f + 1. Let j(v) = -3*d(v) - 4*u(v). What are the prime factors of j(-4)?\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.811 + 8.811. Let z be 3\/(-6)*2\/4. Sort z, 0.07, y in increasing order.\nAnswer: y, z, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*b*r**2*w + b*r**2 - 89*b*r*w - 11380*r**2*w - 149*r**2 - 4947*r + 9*w wrt r.\nAnswer: 14*b*w + 2*b - 22760*w - 298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, -0.052, -5\/4, 3, 5, 9\/362?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-3))**46)**(2\/7)*(z\/(z*z**5)*z*z\/(z**(-3\/7)\/z)*z*z)\/(z**(-2)\/z)**(-2\/5) assuming z is positive.\nAnswer: z**(259\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1815 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 999, 4036, 9089, 16152, 25219?\n\"Answer: -j**3 + 1014*j**2 + 2*j - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -673 in -18, -4, 2, 2\/9?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 7*y**2 + 8*y**2 + 2*y**3 - 10*y**2 + 8*y**4 + 0*y**3 to the form h + o*y**3 + l*y**2 + p*y + a*y**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 5, -0.2, -2193, -17.\nAnswer: -2193, -17, -0.2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 477 times -0.3\nAnswer: -143.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4704199?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-2)\/38 - (-19413311)\/2603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -6332*x + 8. Let f be m(-6). What is f rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of 0*h**5 - 2*h**6 + 0*h**4 - h**3 + 20 + 187\/2*h**2 + 0*h. Find the second derivative of k(i) wrt i.\nAnswer: -240*i**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2966 a factor of 61666106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -14 + 4. Let u be (2\/(2 + -4))\/(q\/(-6)). Suppose u*j = 2*l - 453, 0 = -0*l - 4*l + 3*j + 891. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -53734\/3 - -17909. Which is the third biggest value? (a) -2\/13 (b) -1 (c) j (d) -104\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 10, 3, 4 in ascending order.\nAnswer: -11, 3, 4, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 298, 699, 1320, 2125, 3078, 4143?\nAnswer: 5284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 12*t**2 + 21*t + 7. Let b be w(-10). Let r(y) = y**3 - 6*y**2 + y - 1. Let h be r(7). Let n be (h\/(-15) - -2)*b. Solve -i = n - 7 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the second derivative of 0*w**4 + 1\/105*w**7 - 4*w + 0*w**6 + 0*w**3 + 0*w**5 + 0 + 0*w**2. Solve l(o) = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w + 3 = p + 20*w, -w = p - 3. Solve 2*b - 8 = -r, -4*b = r - p*b - 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*x + 80, 2*x = 6*x - 2*r - 100. Let d = 51 + x. Let c = d - 75. Solve -c*m = m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 390 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 20*v + 20. Let n be s(-11). Let j = 401 + n. Is 202 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11713771, 11713774, 11713777, 11713780, 11713783?\nAnswer: 11713786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 5*l**2 + 7*l - 10. Let q be h(-7). Let m = 66 - q. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4108, 4113, 4118, 4123, 4128, 4133?\n\"Answer: 5*d + 4103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 170*q - 73*q - q + 7 as z*q + p and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 4*b - 52 = -h, -3*b + 39 = -2*h. Let q = 155 + -307. Let j be (5\/(-2))\/(38\/q). Which is greater: b or j?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*f**2 - 9*f**2 - f**4 - f**3 + 2*f + 2*f**4 - 3*f**4 as h*f**2 + r + w*f**3 + y*f + o*f**4 and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/5*20\/6. Let b = o - -11. Calculate the smallest common multiple of b and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of 13*b**6\/40 - 7*b**3\/2 - b**2 - 31*b. Let v(u) be the first derivative of z(u). Find the first derivative of v(y) wrt y.\nAnswer: 117*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -m**8\/1680 + m**6\/60 - m**5\/15 - 5*m**4\/4 + 15*m. Let h(l) be the third derivative of w(l). Let h(t) = 0. What is t?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c**4 + 29475*c**3 - 29466*c**2 - 58944*c = 0. Calculate c.\nAnswer: -1, 0, 2, 9824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/(-2)*(-4)\/(-95). Let f = -5614 + 5619. Which is the second biggest value? (a) f (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/5*10\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -8\/13 = -207555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16*-1)\/(4 + -3). Let c = b - -20. Suppose -6 = j - 0*j - 2*m, 3*m = c*j + 24. Let h(r) = r**3 + 7*r**2 + 3*r - 5. Determine h(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2248*z**5 - 2*z**3 - 2*z**2 + 8*z + 3240 wrt z.\nAnswer: -44960*z**3 - 12*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - g - 8. Let p be 9\/(-10)*12\/(-18). Let h be 3\/2*56\/(-84). Which is the nearest to p? (a) g (b) h (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -b - d + 3, 5*b = -181*d + 178*d + 5 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 7*o**2. Let l(k) = -189*k - 168. Let a(w) = -10*w - 9. Suppose -5*s + 310 = 295. Let c(r) = s*l(r) - 56*a(r). What is c(g(z))?\nAnswer: -49*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-88*q**3 + 97*q**3 + 142*q**3)*(4*q - 3*q + 2*q) in the form y + z*q**3 + w*q**4 + u*q**2 + m*q and give w.\nAnswer: 453","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - 0) + -2 + 6. Suppose f*q - 2*q = 300. Let a(g) = -9*g + 3. Calculate the remainder when q is divided by a(-2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -627 - -613. Let m = -0.9 - 11.1. Let d = m - k. Which is the closest to 0? (a) d (b) -4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*j**2 - 32*j**2 + 7*j**2 to k*j + n*j**2 + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.8 - -2.2. Let w be (-3)\/(-18) - 46\/132. Let j be (4\/(-18))\/((-3)\/(-9)). What is the nearest to j in w, -0.5, m?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-11)*(2\/215767)\/(-1). Let c = i + 53863300\/12730253. Let b = c - -21\/118. What is the common denominator of b and -23\/22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 620812688 to the nearest integer?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 4*r**2 - 2*r**2 + (-r + 1 - 1)*(r - 2*r - r) + (-1 - 2*r + 1)*(-4*r + 0*r + 0*r).\nAnswer: 12*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2262, 18361, 62060, 147159, 287458, 496757, 788856, 1177555?\nAnswer: 1676654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1168083\/10 or 116808?\nAnswer: 116808","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uffuffu. Give prob of sequence uf.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t\/t**(-3\/4)*t*t*(t*((t\/(((t*(t\/t**3)\/t)\/t)\/t))\/t)\/t*t)\/t*(t\/t**(-2\/23)*t)\/(t*t\/(t*t**(-11)*t)) assuming t is positive.\nAnswer: t**(-15\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 3*m + 68, -4*y + 15 = 3*m - 34. Solve 0 = -2*h - y + 5 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17884 divided by 8942?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -85272 (base 15) to base 9.\nAnswer: -713418","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/163 or 1?\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4088160 (base 9) to base 15.\nAnswer: -2d2299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 11*f = -8*f + 10, 4*f + 10 = 2*i. Let v(u) = -2*u**3 + 6*u - 2. Let z(q) = 4*q**3 - 12*q + 5. Determine i*v(o) - 2*z(o).\nAnswer: 2*o**3 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide (63 + 7)*(-1)\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 0 - ((-11 - 3) + 22).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttyyttttt. Give prob of sequence tt.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 161885 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3280982, 6561969, 9842956, 13123943?\nAnswer: 16404930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve -381*q + 678*q = -2970 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 180 and 3374460?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 - 38?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -697, -706, -717, -730, -745, -762?\n\"Answer: -r**2 - 6*r - 690","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 95*x**2 + 11*x - 17. Let k(z) = -47*z**2 - 5*z + 8. Calculate -13*k(v) - 6*m(v).\nAnswer: 41*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*p + 22815 = -11*p + 76*p. Solve -p*r - 18 = -189*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 3 - 9, 7 = 5*g - 4*o for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*w - 14, -3 = 3*v - 7*w + 5. Sort v, 19, 1 in increasing order.\nAnswer: 1, v, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*j**2 - 18*j**2 + 3*j**2 - 16 - 3*j**2.\nAnswer: -2*j**2 - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/2)\/((-7)\/28). Suppose 3*i - 2*q - 2 = 0, -4*q + 8 = d*i - 2*q. Suppose 2*p + 5 - 23 = -5*u, i*p - 6 = u. Round u to one dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 61, 139, 247, 385, 553?\nAnswer: 751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 6034110?\nAnswer: 24136440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*z - 12*z = 22 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3106667122?\nAnswer: 2, 13, 67, 1783391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 1 + 2*r**2 + 0*r**2 - 6*r**2 - r**3 - 2*r**2. What is the units digit of y(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 4*l**2 - 339*l + 1248. Determine o(81).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 554 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -13\/21, 14\/3 in increasing order.\nAnswer: -13\/21, 2\/5, 14\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -28612*q - 16. Let t be m(-6). Is (-2)\/7 + t\/301 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-6)*(-72)\/16. What is the third biggest value in -5, 0.1, k?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-106)\/10 + 188\/423 + 448\/126?\nAnswer: -33\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -3. Suppose 6 = y*p - 14. Suppose -128 = -5*f - 28. Solve c = 5*d - f + p, 0 = -3*d - c + 1 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 33*v**2 + 115*v + 31. Let l be q(29). Let w be (4\/(-10))\/(2\/(-10)). Find the third derivative of -1 + 1 - 6*c**3 + 17*c**w - 11*c**l wrt c.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 970 = 8*f - 390. What is the remainder when 352 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -161 + -85. Let o = y - -245.7. Let z = 14 - 13.9. Sort z, o, -5 in decreasing order.\nAnswer: z, o, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -7*s + 45. What is the remainder when 5*-1*-1*14 is divided by b(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = 3*r + 26 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 + 110110001001111010011?\nAnswer: 110110001001111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 62546?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.2, 3\/430, -10, -0.3.\nAnswer: -10, -0.3, -0.2, 3\/430, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -6*m - 2. Let v be f(-1). Let u(s) be the first derivative of 0*s + 1\/2*s**v + 0*s**2 - 4 + s**3. Find the third derivative of u(q) wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 400 + 152 = 0. Let l(a) = -29*a - 19*a - 3*a**2 + d*a + 1. Determine l(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 79896?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 67 = 2*g, -20*g + 44 = -4*w - 25*g - 135 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -347.03 (b) -0.1 (c) 0 (d) -5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 12\/(-3))*3\/9. Let y(n) = -n. Suppose -5*r + 2*a = -30, -4*r = a - 12 + 1. Let c(s) = s**2 + 2*s. Determine p*c(k) + r*y(k).\nAnswer: k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 23*f**2 + 2*f - 1. Let v be c(2). What is v rounded to the nearest 10?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -1\/9, -3634, 2 in ascending order.\nAnswer: -3634, -1\/9, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -122\/17 or -9829?\nAnswer: -9829","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 280 and 40.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 + 265 = -25*s + 2157. Solve 3*a + 49 = 5*n + s, -3*a + 9 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)*1 - (0 + sqrt(18)) - (0 + -2*sqrt(98)))**2 - (((1 + sqrt(288) - sqrt(288) - sqrt(288))*2 + sqrt(288)*2 + 4)*3)**2.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*d - 7*d + 2 - 90*d - 33*d.\nAnswer: -87*d + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 3*j - 45, -c + 3 + 0 = -2*j. Let n(b) = -b + 8. Let o be n(0). Let x = c - o. Solve -3*m - 8 + x = 5*r, 3*r - m - 7 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1365 and 11375.\nAnswer: 34125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -391179567 - -391179551.0000013. Let a = 16 + s. Round a to six dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 0.3, -5, 11.808 in ascending order.\nAnswer: -5, -0.1, 0.3, 11.808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(3) - (-1*sqrt(3)*-3 + sqrt(3))) + 1 - 4*(sqrt(3) + 2)*5)*-4)**2.\nAnswer: 28704*sqrt(3) + 49728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is b41 + 75?\nAnswer: bb6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-1 + (-18)\/(-15)). Let c(w) = 9*w**2 - 5. Let k(n) = 4*n**2 + 14193 - 14197 + 4*n**2. Calculate m*k(v) - 4*c(v).\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/54*-3*9\/(-240)?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*n = -5*n - 145*n + 5191868. What are the prime factors of n?\nAnswer: 2, 11, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezddlaazeddzazq. What is prob of picking 1 e and 1 a?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 8 + -8 - 4\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -14 and 447?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6 + -2812?\nAnswer: -2811.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 219 + -125. What is the remainder when o is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*3*(-1 + 3*(sqrt(1900)*-2 + sqrt(1900) - sqrt(1900))**2 + -5)*-5*-2.\nAnswer: -683820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1921 - -1925. Suppose 0*m - 4*m + 24 = 0. Suppose m + 0 = s. Solve h - 1 + s = 4*i, 6 = k*h - 3*i for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1087 - -616. Let c = -471.3 - k. Let w = -38\/51 - -24\/17. Put c, -9, w in increasing order.\nAnswer: -9, c, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -38\/350865 and 97\/5198.\nAnswer: 701730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.47372204 - -0.4739. Round q to 5 dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2105603 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -29 (base 10) to base 3.\nAnswer: -1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1258999.076 to the nearest one thousand.\nAnswer: 1259000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234751.\nAnswer: 11, 21341","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1 - 2*t + 1. Suppose 49 = 43*c - 36*c. Let u(i) = -15*i**2 - i - 9*i + 14*i**2 - c*i - 13*i. What is l(u(p))?\nAnswer: 2*p**2 + 60*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2.2, 2\/49, 0.07, -5\/3?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-6) - (-7)\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 638.8068 decades?\nAnswer: 63.88068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 4:57 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 321*p. Let b(x) = -x**2. Determine y(b(o)).\nAnswer: -321*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g**3\/7 - 235*g**2\/7 + 232*g\/7 + 468\/7 = 0. What is g?\nAnswer: -1, 2, 234","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -59740700 rounded to the nearest one hundred thousand?\nAnswer: -59700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 351, 541, 751, 987?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/17)\/h)\/h**(1\/3))\/(h**(-2\/17)\/h**7) assuming h is positive.\nAnswer: h**(301\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) 2\/13 (c) -0.7 (d) -3 (e) -6202 (f) 1\/143\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-4) + (-3)\/(-2). Let z be b\/(3*1\/3). Let d be 1 + z - 1 - 2. Let u(w) = w**3 - 1. Let l(p) = 7*p**3 - 5. Give d*l(a) + 5*u(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 - 2*n)*(-3*n + 2*n - n) - 3808 + 1904 + 1905 - 148*n**2.\nAnswer: -144*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 502 + -291. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*w**2\/3 - 2305*w\/3 + 1088850.\nAnswer: -5*(w - 610)*(w + 1071)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 0.25 greater than 216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -27*b**2*f + 12*b**2 + 65*f wrt b?\nAnswer: -54*b*f + 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 AM and 3:21 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 + 9*s**2 - 4*s + 4. Suppose 2*c = -3*h + 1 + 7, 12 = 3*c - h. Let a be v(c). Solve m - a = -3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 24*f - 3. Let c(p) = 12*p - 1. Give -5*c(r) + 2*t(r).\nAnswer: -12*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54.41 + -54. Let v = o + -0.40969. Round v to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5\/137, -156, 1, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 6:23 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -2843 * -317\nAnswer: 901231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*m**2 + 3288*m - 2*m**2 + m**2 - 3288*m.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 18803 to the power of 1\/3, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4*c - 6 = -40, 2*d - 2 = -4*c. Let y be 245\/10 + (-6)\/(-4). Let r = y - 18. Calculate the smallest common multiple of d and r.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2998 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -1 + -3 + -1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001083825 to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -53511, -106977, -160391, -213753, -267063?\n\"Answer: 26*y**2 - 53544*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvvy when four letters picked without replacement from vyyvvvyvyy?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -6*p**2 - 11*p - 22. Calculate r(0).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 90 and 1944879.\nAnswer: 58346370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3800\/110 + -24 + 16770\/715.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -76.09 + -25.05. Let f = h - -0.94. What is f rounded to the nearest integer?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -42\/11, -4, 11, 124?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 3*n**3 + 939570*n**2 + 73564102899*n - 294271444908 = 0.\nAnswer: -156597, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 3)*(89*c + 55*c - 54*c)*(-3 - 2 - 1) to the form l + w*c and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37.5 + 37.7. Which is the biggest value? (a) 1 (b) q (c) 0.9 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14*1333\/5208*-12.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l**2 + 12*l + 27. Determine p(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 147965*r**2 + 1095051880*r - 5471560900.\nAnswer: 5*(r - 14794)**2*(r - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 38648*d**2 - 60862 wrt d?\nAnswer: 77296*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.4, 1453, -2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 - 7*p. What are the prime factors of w(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rjy when three letters picked without replacement from {y: 6, r: 2, j: 4, s: 1, c: 1, x: 4}.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -32320.529905 rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*(u\/u**1)\/u)\/u)\/(u**(1\/2)*u) assuming u is positive.\nAnswer: u**(-5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i + 4. Let r(h) = 11*h - 12. Let b(y) = 8*o(y) + 3*r(y). Let j be b(6). Solve 5*a - 3*p - 30 = 0, -p + 0*p - j = a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1127 + 577?\nAnswer: -550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1140 and 300?\nAnswer: 5700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 - (252\/(-15))\/(-6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3051681*n**5 - 59872*n**2 + 17*n + 1?\nAnswer: 183100860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29844548 and 335332.\nAnswer: 29844548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3300 - 2362. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/(2 - -1) + 13. Suppose -4*y = 4*l + l - 44, -3*y + l = -h. Is y a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c. Let q(k) = -106*k. Let h be -3*(-5 + 4) - 9. Let d be q(h). Let x(y) = -3*y + 636 - d + 4*y. Determine x(v(p)).\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253022?\nAnswer: 2, 7, 11, 31, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000013233828 to seven decimal places.\nAnswer: -0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 12 = -0*g + 2. Suppose 90 = -5*d - 5*a, 12 = -4*a - 0. Does g = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 825?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 57 + -53. Suppose 1273 = t*c + m, 5*m = 2*c - 445 - 164. List the prime factors of c.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 3*g - 10. Suppose 7*x - 9 = 4*x. Let b(i) = -x*i**3 + 0*i**2 + 9 - 4*i**2 - 10 + 4*i**3 + 2*i. Calculate b(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-7) + 80\/14. Suppose -3*j + 68 - x = -4*s, -2*j - s = -23. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*x + 49*x - 287 = 559 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 510\/(-35)*14\/(-4). Solve n*r = -9*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 3*f + 12. Let p = -40 + 46. What are the prime factors of u(p)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2527*s**2 - 1252*s**2 - 2 - 1119*s**2)*(-2*s + 0 + 0 - 5*s + 4*s + 3*s + (2*s - 1 + 1)*(0 + 1 + 1) - 4 + 4 + s).\nAnswer: 780*s**3 - 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35636304 (base 8) to base 2.\nAnswer: -11101110011110011000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmpmmmggppmgmmgm. Give prob of sequence mmpm.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/60 of a day?\nAnswer: 1440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 5*c + 3, 3 = -3*l + 4*l for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*q**3*t**2*u**2 + 3*q**3*t**2*u - 5*q**3*t + 3*q*t**2 + 2*q*t*u - 280*t**2*u**2 wrt u.\nAnswer: -4*q**3*t**2 - 560*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*m - 70*m = -985. Solve c = m*k - 9 - 8, 2*k = 4*c - 4 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2002664.\nAnswer: 2, 167, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -268 - 704?\nAnswer: -972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9)\/(((-3)\/(-3))\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - 3 + 5*s)*(0*s**3 + 0*s**3 - 4*s**3) + 3*s**3 + 98 - 2*s**2 - 98 - 7*s**4 to the form m*s + q*s**4 + d*s**2 + l*s**3 + y and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*c + c + 2*c)*(2*c - 2*c - 2*c)*(0*c + 0*c + 4*c) in the form a + k*c**2 + x*c**3 + o*c and give x.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743.\nAnswer: 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.66 * -0.0195.\nAnswer: 0.03237","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i - 2. Let k be y(-4). Suppose -o - u = -4*u + 1, 0 = u. Let t be ((-6)\/4)\/(o\/k). Solve 0 = -t*r - 4*n + 11, n - 3 = -4*r - 2*n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-2))\/((-6)\/(-3)*3)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4 = 46. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 2\/55, -5, 135\/4?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2709, 5417, 8127, 10839, 13553, 16269?\n\"Answer: k**2 + 2705*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -88062, -78452, -68842, -59232, -49622?\n\"Answer: 9610*n - 97672","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: Which is smaller: -231 or 73114?\nAnswer: -231","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 101043900 divided by -25260975\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 13*n + 390. Give s(-31).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8 - (-10 - (-117)\/13). Let t(x) be the third derivative of -x**5\/60 + x**4\/2 - 5*x**3\/3 + 7*x**2. Calculate t(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 168*l**3 + 21*l**3 - 170*l**3 + 30*l to p + q*l + d*l**3 + i*l**2 and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*n + 6*n - n)*(3*n - n - n) - 739*n**2 - 227*n**2 - 231*n**2)*(-1 + 1 + 2*n).\nAnswer: -2390*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7114 is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-30)\/3*(7 - -1). Let y = -65 - k. Solve 3*l + s = -2*l - y, l + 5*s = -3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/454770 and 23\/259470?\nAnswer: 42293610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 32\/(-14) + (-4)\/(-14). Let x(g) = 3*g**2 - g - 1. Let j(w) = -w**3 - 9*w**2 - 2*w. Let o(c) = -j(c) - 2*x(c). Give o(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 + 14. Suppose -k - 1 + d = 0. What is the remainder when k\/((-14)\/(-54)) + 0 is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g**3 + 7*g**2 - 6*g - 6. Determine t(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 9 - 12) + (-2)\/(10 + 828\/(-81))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v - 2*u + 1, -v - 4*u = -6*u + 5. Let x = v - -20. What is the remainder when x is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5867924l?\nAnswer: 586.7924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of -o**6\/120 + o**5\/2 + 5*o**4\/4 + 25*o**3\/6 + 15*o**2 + 20. What is z(31)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 0*o**2 - o**2 + 0 + 0 + 3*o**2 + (7 + 2*o - 7)*(0 - o + 0) + (2 - 4 + 4)*(-16*o**2 - 51*o**2 - 69*o**2).\nAnswer: -272*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1656.56 + -1715. Let r = -0.06 + t. Round r to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 - h**2 + 1 + 4)*(18 + 8*h + 23 - 6*h) + h**2 - h**2 + 2*h**3 + (-3 + 2 + 0)*(-3 + 3 + h**3) as n + r*h + d*h**3 + p*h**2 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u**5 - 3*u**4 + 3*u**3 + 3*u**2. Let j = 16 + -5. Let v = j - 17. Let z(c) = c**5 - c**3. Let x(h) = v*z(h) - r(h). Determine k so that x(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*a**4\/7 + 52014*a**3\/7 - 59732*a**2\/7 - 3768*a\/7 + 11376\/7 = 0 for a.\nAnswer: -474, -2\/5, 6\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 - 13*f**2 - 8. Let z be n(5). Suppose w + 3 = -2*l - 2*l, -2*w + 4*l = -z. What is the remainder when w is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 231 - 227. Let f = 19\/78 + -1\/13. What is the biggest value in x, f, 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 2*d - 3*v + 8*v, 10 = 5*d - 5*v for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 257 = -3*k + 2*d, -4*k + 209 = -5*d. Calculate the remainder when k is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*a)*(a**4 + a**4 - 4*a**4) + (-15 + 6*a + 15)*(4*a**4 + 2*a**4 - 5*a**4).\nAnswer: 2*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45278935*o**6 + 1697041*o**2.\nAnswer: 5433472200*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 555 + -549. Solve -5*a = -5*n, v*n - n = 2*a for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*d = -9, i - 2*i + d = 3. Let v(g) = -3*g - 3. Let o be v(i). Suppose o*x - 3*x - 27 = 0. What is the remainder when 25 is divided by x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -16184300 to the nearest one million.\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/155846360 and 47\/1520.\nAnswer: 311692720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4769.\nAnswer: 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -13 + 4 + 2 + -123. Let x = m - -145. What is the highest common factor of x and 480?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 55, -5, -2, 2, -1 in increasing order.\nAnswer: -5, -2, -1, 2, 8, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**2 - k. Let u(y) = 3*y**2 - 5*y - 4. Let c(q) = u(q) - 5*v(q). Let d(w) be the first derivative of c(w). Let m(x) = -5*x**2. Give d(m(p)).\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52586957 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0\/(-1 - -2) - -2. Suppose -104 = -3*m - l. Suppose h - 2*h = -b - m, -3*h + 2*b = -102. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -2*j + 7. Suppose 0 = -s + 3*c - j, s = -3*s - c + 9. Is 1\/9 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12400?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 5:17 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*i - 24. Let d = 47\/3 - i. Let n = -2544 - -2545. Which is bigger: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2\/3, 2, -3\/13, -75\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1441 divided by -2\nAnswer: -1441\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by -7375.\nAnswer: -1\/295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2\/(2 - 0)*2. Suppose 3*j = -2*i + j + 8, 0 = -5*i + d*j + 27. What are the prime factors of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 5 + 3*a)*(-35*a**3 - 3*a - 34*a**3 + 65*a**3).\nAnswer: -12*a**4 - 9*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -5. Let u(c) = 6*c**2 + 6*c + 4. Let w be u(-6). Suppose -w = -g*x - 4*x. Calculate the greatest common factor of x and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0\/((1 - 0) + -2). Suppose j = 2*n - 754 - 438. Suppose a - n = -3*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 106 - 1?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 3981\nAnswer: -31848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -32222 (base 9) to base 4\nAnswer: -11031023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-167)\/2 + -2 + 20\/8. Let k = -94 - q. Which is greater: k or -13?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -143\/3330 and 139\/7890.\nAnswer: 875790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3753171 nanometers to kilometers.\nAnswer: 0.0000000000003753171","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 126831071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/(-6))\/(7\/(-168)*4). Put 4, -3, w, -8 in descending order.\nAnswer: 4, w, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*n**3 - 18454*n**2 - 11436*n - 1760 = 0.\nAnswer: -1\/3, -2\/7, 440","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*(8\/(-9))\/((-9)\/(-81)*6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-104)\/975)\/(108\/(-1755)*-13).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.049 (b) 18 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9837 and 0.0001.\nAnswer: -0.9837","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1947?\nAnswer: 3, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 3, h: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnmg when four letters picked without replacement from {n: 2, z: 1, g: 1, m: 4, y: 1}?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 83571124627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 7. Suppose w - 9 = 4*w, z = -2*w - 1. Suppose -244 + 268 = 4*a. Let t(k) = k**2 - 8. Give a*g(l) + z*t(l).\nAnswer: -l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -9. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/3116 and -13\/21128?\nAnswer: 866248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-1 + 20\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 836\/176 - (-2)\/8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 12 = -3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/17 + 648702*t\/17 - 4541012\/17.\nAnswer: 2*(t - 7)*(t + 324358)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 239 divide 2815023703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = 5*h + 5*t, 6*h = h - 4*t + 85. What is the highest common factor of 416 and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/5 + 44\/10. Suppose -2*l - 2*u = l + 30, -i*u - 20 = l. What is the smallest common multiple of (1*-8)\/(4\/l) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0465 and 404.808?\nAnswer: -18.823572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.041 plus 13047?\nAnswer: 13047.041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53761?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -72, 0, -5, 28 in increasing order.\nAnswer: -72, -5, 0, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*d**3 - 12*d - 6*d**3 + 34 - 34 wrt d?\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 2 = -2*v, -4*o - 32 = -0*v - 4*v. Let x(m) = 9*m**2 + 3*m**2 - 5*m - v - 15*m**2. Let z(q) = -q**2 - 2*q - 2. Determine -4*x(d) + 10*z(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of -w**4\/24 - w**3\/3 + 2*w**2. Let k be y(-2). Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -118*p - 6254. Determine x(-53).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 79\/2 of a kilogram?\nAnswer: 39500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73755.\nAnswer: 3, 5, 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6*i**(-1\/3)*(i**0)**25 assuming i is positive.\nAnswer: i**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(405) + -5*(sqrt(405) + 0) + ((-5 + (sqrt(405) - (-2 + sqrt(405))) - sqrt(405)) + sqrt(405) - (-3*-3*sqrt(405) - sqrt(405))))**2.\nAnswer: 486*sqrt(5) + 32814","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 137131 = 5*l, 3*l + 119328 = 4*a - 154869. List the prime factors of a.\nAnswer: 3, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1589112 divided by 132426\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13636591 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-18)\/(-15))\/((-15)\/(-2350)). Suppose -z + p = z. What is the remainder when z is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25346 = 68*z + 92*z + 277*z for z.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*u**2\/7 - 919306*u\/7 = 0. What is u?\nAnswer: -459653, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21\/45)\/(-7))\/(7\/(-63)).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 - 12 - -40 - -25.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 6*v**2 + v - 1. Let t = 183 - 180. Suppose 0 = -3*g - 3*k - 1 - 2, 0 = t*g - 5*k + 27. What is y(g)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 892 + 46081. List the prime factors of f.\nAnswer: 107, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*h - h = 179, 0 = -5*t + 3*h + 453. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q**3 - 13*q**2 + 5*q + 8. Let r be c(6). Suppose -1258 = -2*w + 4*x, 11*w + r*x + 1258 = 13*w. List the prime factors of w.\nAnswer: 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6822 - -6824. Let l = 0.21 + 9.79. Sort l, 2\/11, y.\nAnswer: 2\/11, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - v + 2*v)*(-1447*v - 1387*v + 3098*v)*(3*v**2 + 4*v**2 - 5*v**2).\nAnswer: 528*v**4 + 1056*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237648.7 millilitres to litres.\nAnswer: 237.6487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34344646?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 0 + -3 + 4 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59837446?\nAnswer: 2, 59, 349, 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 447 + -387. Does 30 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1261871671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1510 - 1510. Solve p = -2*x - 3 + 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -43, -94, -145?\n\"Answer: -51*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -72 + 73. Solve -3*q + k = -b + 8, 5*q = -5 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80300.53 years in decades?\nAnswer: 8030.053","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in 7, -11, -2.04?\nAnswer: -2.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**2 - p**2 - 4*p**2 - 6*p**2 + p**2 - 12*p**2 + 0*p**2 + 4*p.\nAnswer: -12*p**2 + 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -f - 18, 3*s - 19 - 11 = 3*f. Which is greater: f or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1195 - (0*4\/12)\/(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17754 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 958297?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31521.\nAnswer: 3, 7, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 8:52 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6769 and 2.3.\nAnswer: 3.85687","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -202430062 (base 7) to base 16.\nAnswer: -b4a78f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/25 + (4631\/(-550) + 6 - -2). Which is the third biggest value? (a) 2 (b) -0.4 (c) 313 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(26\/9)\/(d*d*d**(-33)*d))\/(d\/((d\/d**10)\/d*d)*d**(1\/31)*d) assuming d is positive.\nAnswer: d**(6098\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 768 and 4583168.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 38*g - 374. Calculate the smallest common multiple of 224 and x(10).\nAnswer: 672","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-3)\/6 - -2). Suppose 5*i + x = 796, 4*i + u*x - 641 = -3*x. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-7 - 33\/(-5)) + 4\/10. Solve 10 = 3*a - k, u*a - 3*a + 5 = -2*k for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1856818 - 1856818 - 8*y**3 - 4*y**3.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/12)\/((-36)\/64))\/2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b - 2*b = 324. Let j(s) = s**2 - 5*s + 3. Let f be j(5). Suppose 5*a - 45 = 4*g, 3*a = -2*a - f*g + 45. What is the greatest common factor of b and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/10, -3, -1, -6\/25?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.81857 * 4.\nAnswer: 3.27428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10118489 and 934.\nAnswer: 467","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3501257 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.007, -3, 0.03, -0.3 in decreasing order.\nAnswer: 0.03, -0.007, -0.3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 140294849 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 15 - 16*y**3 + y**2 - 7 + 17*y**3 + 6*y**2 - 2*y. Let d(x) = x**3 + 4*x**2 + x - 1. Let u be d(-4). What is the units digit of c(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/6)\/z)\/(z\/z**(-6)))\/(z\/(z\/(z\/(z**(2\/5)*z*z))))**(-3\/11) assuming z is positive.\nAnswer: z**(-2491\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114805*j + 71400*j - 186207*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -2*m + 6*m. Let k = 0 - 0. Find the second derivative of 2*t**5 + k*t - 3*t + 2*t**m wrt t.\nAnswer: 80*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16\/17789077 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*f - 430*f - 65597 = 207*f + 10226 for f.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**2 - 35*b + 6*b**2 - 16*b**2.\nAnswer: -3*b**2 - 35*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 10) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooqoqqqqoooqqoqq. What is prob of picking 1 q and 3 o?\nAnswer: 90\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/98)\/(110\/308)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -5 = 7584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 - 97*m - 19. Let x be s(-19). Solve -x = -3*v + 4*d, 7*d - 3*d = -4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*x + 10*n - 114 = -25*x, 5*x - 5*n + 30 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.182 and -0.2.\nAnswer: -0.0364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 79340293 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: Collect the terms in 49*k**2 - 514*k**2 + 231*k**2 + 239*k**2.\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4791.\nAnswer: 3, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1464079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of 2*u**2 + 0*u**4 + 0*u + 0 - 1\/30*u**5 + 0*u**3. Let y(a) = a. Let n(l) = 7*l. Let f(x) = n(x) - 6*y(x). What is f(t(k))?\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**3 + 140075*k**2 - 981120315*k + 980980245.\nAnswer: -5*(k - 14007)**2*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 + 0)*(2*t + 1 - 1) + (-2 + 1 + 2)*(-6*t + 0*t + 4*t))*(-7109 + 7111 + 87*t - 2*t) to the form n*t**2 + o + d*t and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*m - 6 + 1 = -5 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -20628 and 0.94?\nAnswer: 20628.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 545?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 281*b**2\/2 + 108*b - 34. What is the first derivative of p(h) wrt h?\nAnswer: 281","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 8*z - 10. Let h(k) = 16*k + 362. Calculate the remainder when h(-17) is divided by x(-11).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11.8 + 2.2. Let u = 13.999944 - z. Round u to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7845 - -94105\/12. Find the common denominator of j and -82\/2925.\nAnswer: 11700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 + 470 = 30*g. Solve -u = -g*b - 11 + 38, 2*b - 6 = -2*u for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -505317\/8 + 63366. Let d = 1597 + -1798. Let i = d + j. What is the closest to 0.1 in i, -2, 4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f = 2*y - 32, -28*y - 4*f + 1178 - 1138 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*p = -2024 + 748 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 4*u - 7, l - 2*l = -5*u + 9 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 - 190*r**2 + 1075*r.\nAnswer: -5*r*(r - 5)*(r + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93115.44g to nanograms.\nAnswer: 93115440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f**4 + 0*f**4 + 4*f**4)*(-7*f + f + 4*f) - f**5 + 2*f**5 + f**5 + (-3*f + 5*f + 0*f)*(-2*f + 2*f + 2*f**4).\nAnswer: -2*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/20)\/((-6)\/(-2892)). Let g = 48 + i. What is the third smallest value in -5, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 7*t**2 - 5*t - 3. Let h = 10 + -3. Let n be 1\/1*h + -1. Let j be s(n). Solve -5 = -2*c - j for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/7))**(1\/2)*((n\/(((n*n**1*n)\/n)\/n))\/n)\/(n*n*(n**(-1)\/n*n)\/n))**(-2\/5) assuming n is positive.\nAnswer: n**(12\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46.52 - 0.48. Let t = j + 46.9999825. What is t rounded to 6 decimal places?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let b(d) = 3 - d - d**2 + d + 5*d + 0*d. Let m be b(5). Suppose 3*l + l + 8 = 2*j, 12 = m*j - 3*l. Determine g(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -15, 14*k - 16*k + 14 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2448))**2 + -2 + (sqrt(612))**2.\nAnswer: 3058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -6*(2*-1*sqrt(832) - sqrt(832) - (4 + sqrt(832) + -1)**2)*-1.\nAnswer: -5047 - 432*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -23*j - 1104. Let x be g(-48). Let r = 0.03 - -4.97. Let t = 4.5 - r. Which is the closest to -2? (a) -4\/7 (b) x (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) -1\/4 (c) 4 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 547.263 millimeters in centimeters?\nAnswer: 54.7263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/(189\/30))\/2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**3 + 5*y**2 + y - 2. Suppose -5 = 5*c, 0*u + 3*u - 58 = -2*c. Let b = -24 + u. Let l be t(b). Solve -j - j - l = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w**(-9))\/w)\/w)\/(((w\/w**6)\/w)\/w)*w**(3\/2)\/w**(-8)*((w\/(w\/(w\/(w\/w**7)*w)))\/((w*w**(2\/5)*w)\/w))**(-5) assuming w is positive.\nAnswer: w**(-53\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*t - 11*t = -3864. Calculate the remainder when t is divided by 50.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (sqrt(832) + sqrt(832)*-3 + 4))**2 + sqrt(832)*3 + 1 - ((sqrt(143)\/sqrt(176))**2*3 + 0 + 1*sqrt(1573)).\nAnswer: -179*sqrt(13) + 120041\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -9*a - 39. Let p(f) = -26*f - 118. Let l(z) = -17*k(z) + 6*p(z). Let h be l(-13). Put 4, 3, -1, h in decreasing order.\nAnswer: 4, 3, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 8:05 PM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 346?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + 2*sqrt(90)*-4)\/(sqrt(80) - -2*sqrt(80)))\/((sqrt(432)\/sqrt(32))\/sqrt(9)*-2).\nAnswer: 7*sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 + -1. Suppose -33 = -5*p + d + 3*d, -2*p = -4*d - 18. Is g\/p*(-35)\/14 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 89084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 PM and 6:43 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8 + -2. Let t(i) = -4*i + 1. Let n(z) = z. Let q(l) = 3*n(l) + t(l). What is q(g)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-26*l - 16*l - 29*l)*(-1 - 6 + 5).\nAnswer: 142*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-13) + 362\/494 - 1. Let u = k - -174\/323. What is the smallest value in -0.2, u, 6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5548 or 5550?\nAnswer: 5550","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of ((-27)\/(-6) - 6)*-58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 2*k - 88 = -0*z + z - 0*k, 5*z - 5*k = 190 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51756*g**3 + 15*g**2 + 105398414*g wrt g?\nAnswer: 310536*g + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.19 - 0.05. Let u = n - 0.24. Let q(v) = v - 7. Let w be q(5). Which is the smallest value? (a) w (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63204 divided by -81?\nAnswer: 21068\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f**2 + 2 + 1 - 8*f + f**2. Suppose 0 = -8*c + 22*c + 98. Is n(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43607 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 182 - 245. What is the units digit of 1 + -6 - 54369\/d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 2*l**2 + 8*l = 0?\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w = -12*w - 33. Let f = 17 - 11. Calculate the remainder when w is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11443 smaller than 11443?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 10 = 2*p - 5*p, -5*o + 2*p + 15 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -l**2 + 5*l - 4. What is the first derivative of s(r) wrt r?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13719 is divided by 653.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.087 + 3.087. Let y = -0.26 + -0.04. Let l be 0 + (-1 + 2)*-3. Sort y, l, n in descending order.\nAnswer: n, y, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 682 - 19*q**5 - 682 - 24*q**2 + 2*q**3 wrt q.\nAnswer: -1140*q**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.05 and -408 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 483816441?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8117 + 8463. What are the prime factors of n?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1122.5 + 1174. What is z rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 24711, -1, 2, -5 in descending order.\nAnswer: 24711, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10246, -10248, -10250, -10252, -10254, -10256?\nAnswer: -10258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 899045?\nAnswer: 5, 7, 17, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 111 - 45. Let t = -16 + o. Let w = -19 + t. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 minus -0.43948521648?\nAnswer: -2.56051478352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -5, -4, 18 in decreasing order.\nAnswer: 18, -4, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 102 divide 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -2, 14 in decreasing order.\nAnswer: 14, 1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-115)\/15 - 1)*(0 + -3). Let x(h) = -19*h + 1. Let t be x(1). Let k = w + t. Is k a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -5 (c) -1 (d) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -92239\/65 or -1420?\nAnswer: -1420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 145773958199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-22350)\/(-3) - (24 - 10).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nxnxnxxjx. What is prob of picking 3 n and 1 x?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 1 + 3. Let m(p) = -2*p**2 + 2 - 3 + y. Let d(w) = 5*w**2 - 3*w**2 + w**2. What is m(d(v))?\nAnswer: -18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 1)*(-3*z**4 + 2*z**2 - 2*z**2) - 1 + 1 + 2*z**4 + (0 + 4 - 3)*(-3*z**4 + 5*z**4 + 0*z**4).\nAnswer: z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -238 - -238.5. Sort -38, -0.3, t in descending order.\nAnswer: t, -0.3, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f + 7. Let b be m(5). Let q be (0 + (-3 - b))\/1. Solve q = -0*t - 2*t + 2 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 19*p**3 + 29\/4*p**4 + 0*p + 106 - 2\/5*p**5 + 0*p**2. What is the third derivative of w(o) wrt o?\nAnswer: -48*o + 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 16 = -14*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v + 7. Let u(q) = -2*q - 21. Let s = -8715 - -8704. Give s*g(f) - 4*u(f).\nAnswer: -3*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -84. What is the hundreds digit of (-1730)\/x*(3*-1)\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14272 by 3.\nAnswer: -14272\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3.6 in -1\/2, 2, 0.2, 0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 825432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 127\/4 - 129\/4. What is the nearest to 0 in 1, p, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1056 * 81\nAnswer: -85536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -127\/6 and -35\/1438.\nAnswer: 4314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6709133?\nAnswer: 6709133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 112 and 84.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -385\/13 - -4237\/143. Let d = w + 131\/858. What is the second biggest value in d, -0.08, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 c, and 1 a when four letters picked without replacement from {a: 2, c: 2, w: 8, j: 5}.\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from zzzpzzzzzzzzzzz.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 79 and -60896806046?\nAnswer: 60896806125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 = -0*h + 5*h + l, -18*h - 5*l + 307 = 33 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3736903680?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*2\/8)\/((-18)\/(-16)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (-3)\/((-3)\/4). Suppose 3*c - u = -0*f + 4*f, -5*c = -4*f - 11. Let o be 6\/(-9) + (-2*1 - (-175)\/75). Which is greater: f or o?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -2*k + 15. Suppose -4 = 4*s - 2*m - 2*m, -3*s + 4*m - 3 = 0. What is the units digit of ((-30)\/9)\/(s\/k)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 7*m - 121. Let b be p(-13). Solve 0 = -302*h + b*h - 12 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -3. What is the nearest to 1 in l, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q**3 + 2*q + 145. Let g(h) = 5*h**3 + 21*h**2 + h - 12. Let c be g(-4). Calculate the remainder when o(c) is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/19711 (b) 0.376 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -791.676631 rounded to the nearest ten?\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 82238163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 301246?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 f, and 1 h when four letters picked without replacement from faaaihaxafffa?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 3*a = -a - 48, 3*j = a + 28. Suppose -5*v + j*l = 7*l - 1650, -5*l = -3*v + 968. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.49379 seconds in days?\nAnswer: 0.000781178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (72\/(144\/12))\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.51 - -0.59. Let d = 0.07 + w. Let a = d + 0.05. What is the smallest value in -3\/5, -5, a?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i**3 - 32*i**3 + 33*i**3 + 461*i**2 - 74*i**2 as g*i**2 + m*i + f + b*i**3 and give g.\nAnswer: 387","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126657*b**6 + b**2 - 2405 wrt b.\nAnswer: -15198840*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*i**3 + 1 + (4*i**2 - 5*i**2 - i**2)*(-i - i + 0*i) + 3*i**3 - 3*i**3 + 2*i**3 + 22*i**2 - 22*i**2 - 4*i**3 - i**2 - 3*i**3 - 1 + 1.\nAnswer: i**3 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the second derivative of -5*o**3\/6 - 3*o**2 + 4*o. What is the remainder when 27 is divided by z(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 595 and 1272229.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 9:09 AM?\nAnswer: 7:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o - 10. Let k be (3 - 87\/(-9))*6. Suppose -2 = 6*l + k. Let c be p(l). Solve -c*m + 3*q - 2*q = -18, 0 = -2*m - 4*q - 2 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 5*v**2 - 5*v - 2. Let u be k(4). Let j be (u\/(-5))\/(10\/125). Let o be (-13 + j)*(-2 + 1). Sort o, -5, 4 in increasing order.\nAnswer: -5, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -43132 - 613?\nAnswer: -44045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1386*o = -177*o - 225 - 5820 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/(-2))\/(67\/(-134))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1150*r**4 - 3*r + 8*r**2 + 53*r**3 - 1154*r**4 - 7*r**2 to the form d*r**2 + k*r**4 + a + z*r + o*r**3 and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g - 9. Suppose -4*k + 41 = -5*j, j - 5*j = k - 5. Let l be q(k). Let t(u) = u + 12. What is t(l)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3578774928.\nAnswer: 2, 3, 29, 509, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(35)\/(sqrt(14)\/sqrt(2)) + (sqrt(20) + sqrt(100)\/sqrt(5))*3)**2.\nAnswer: 130*sqrt(5) + 870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**3 + 138 - 42 + 51*k + 22*k**2 + 29*k = 0.\nAnswer: -4, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0039, -0.4, -1\/5, -1, 3 in descending order.\nAnswer: 3, -0.0039, -1\/5, -0.4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 7760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5544 divided by 14?\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19751594 and 2152?\nAnswer: 79006376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.587, 11, -6, 20.5?\nAnswer: 0.587","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 4073, 8157, 12261, 16397, 20577?\n\"Answer: 2*i**3 - 2*i**2 + 4076*i - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*g**4\/9 - 2*g**3\/3 - 2*g**2\/9 + 2*g\/3 = 0. Calculate g.\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17.01 - 17.1545. What is q rounded to 2 dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -393 plus 22?\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -28151, 890, -2 in increasing order.\nAnswer: -28151, -2, 890","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2600162 and 402842.\nAnswer: 28601782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4923247162 to the nearest integer?\nAnswer: 1701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 15, -1\/4, -16030 in descending order.\nAnswer: 15, 0.2, -1\/4, -16030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.06 and -1271.65?\nAnswer: 1271.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 5*l + 21, -4*l = 2*b + 3*b + 42. Let v be -1 + ((-5)\/6)\/(2\/b). Factor 9\/2*j + 0 + v*j**2.\nAnswer: 3*j*(j + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9315?\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -3\/8, 1\/69419 in increasing order.\nAnswer: -3\/8, 1\/69419, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 84630127003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1592 and 128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -338 + 369. Calculate the greatest common factor of 496 and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -106 - -70. Let l be (-1)\/4*1 + (-153)\/z. Let g be (-3)\/2*4\/2. Put l, -1, g in descending order.\nAnswer: l, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 38336211?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 10*j + 6*j - 5*j - j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 6*h**2 + 6*h + 3. Let j be (-1)\/((-2)\/8) - -2. List the prime factors of b(j).\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.16? (a) -1\/3 (b) 0.05 (c) -139 (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69365 is divided by 32278?\nAnswer: 4809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 110 = 126. Suppose -2*s + 13 + 11 = 0. Solve -5*j - 4*f + w = -s, 0 = -j - 2*f + 10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11320 (base 4) in base 7?\nAnswer: -1045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1532 is divided by 1426.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 19927098 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**8\/2240 + m**7\/420 + m**4\/3 + 3*m. Let y(g) be the third derivative of o(g). Factor y(v).\nAnswer: -3*v**2*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 13) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 7 times -2469\nAnswer: -17283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the second derivative of h**3\/2 - 64*h. Let q(d) = -2*d. Let k(u) = -4*i(u) - 5*q(u). What is k(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*n + 19*n + 8*n**3 - 6*n**2 + 14*n + 32*n**2 + 4 = 0. What is n?\nAnswer: -2, -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 6, 29, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 6:46 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5335 (base 6) to base 11.\nAnswer: a01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7*o**2 - o - 3. Let b(w) = w - 13. Let j be b(9). Is r(j) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47787 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1203 divided by -5.\nAnswer: -1203\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -740*j - 48 = -4*w - 735*j, 5*w + j - 2 = 0. Solve -3*y = -t - 1, y + 0*t - w*t = 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 3 - 4 - (3 + 1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 3. Let a be l(-5). Let f(h) = -h - 11 + 9 + 23*h**2 - 2*h**a. Is 10 a factor of f(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*l + l. Suppose -h - 5 + 4 = -3*o, 2*h - l = 2*o. Solve 2*i - h*i = -12 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from mdbuidl?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6272838*f + 8764726*f - 1 + 1.\nAnswer: 15037564*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 0*s - 23\/2*s**3 + 0 + 1\/12*s**5 - 40*s**2 + 1\/12*s**4. Find the first derivative of h(w) wrt w.\nAnswer: 10*w + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(272) - ((-3 + sqrt(272))*2 + sqrt(272)) - 1*sqrt(272)*-5 - (sqrt(272) + 2 + 0 - (-5 + sqrt(272) + 0))))**2.\nAnswer: 24*sqrt(17) + 2449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 19560, 19556, 19534, 19488, 19412, 19300?\n\"Answer: -d**3 - 3*d**2 + 12*d + 19552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*j = -25330, 4*h + 5*j - 3479 = 16783. Is h a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2\/7 - 8*l - 28.\nAnswer: -4*(l + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8665063*r + 17330150*r - 8665082*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -94315 (base 10) to base 2\nAnswer: -10111000001101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 5*a**3 + 4. Let p(x) be the first derivative of 3*x**4\/2 - x**2\/2 + 5*x - 37. Determine 4*o(j) - 3*p(j).\nAnswer: 2*j**3 + 3*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4395169 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*w**4 - 7*w**4 - 204*w**4 + (1 - 1 + w**3)*(6*w - 2*w - 2*w) + 2 + 2*w**4 - 2 in the form z*w**2 + j*w**3 + y*w**4 + c*w + u and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 7*o**5\/20 + o**4\/2 + 2*o. What is the third derivative of h(t) wrt t?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 11:44 PM?\nAnswer: 9:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -889*u**5\/5 + 1290*u - 131. Differentiate r(g) with respect to g.\nAnswer: -3556*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 5*p**2 + 4*p + 4. Let y be a(5). What is the greatest common divisor of y and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -7*n - 23. Determine j(-6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**4*o)\/o**(-8\/11))**(-27\/2) assuming o is positive.\nAnswer: o**(-2295\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(432) - sqrt(432)*-1*1))**2.\nAnswer: -48*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 32\/48 - (0 + 0). Which is the closest to m? (a) -3\/7 (b) -2 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -868 less than -5209\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 274187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j, 1 o, and 1 g when four letters picked without replacement from {j: 11, g: 1, o: 3}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iqiliqiliiidiimilisq. What is prob of picking 1 s and 1 m?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69959, 137854, 205751, 273650?\nAnswer: 341551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the second derivative of v**8\/6720 - v**7\/1260 - v**4\/6 - 4*v. Let o(h) be the third derivative of w(h). Find the third derivative of o(g) wrt g.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 994 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008571578 rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 14*y + 10. Is m(-8) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-2)*7\/((-385)\/10).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17955 and 2280?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of -j**5\/10 + j**3\/2 + 2*j - 1. Let h(s) be the first derivative of f(s). Find the second derivative of h(p) wrt p.\nAnswer: -12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 16*o**3 - 6*o - 1. Let v(i) = i**3 + i. Determine n(t) + 6*v(t).\nAnswer: 22*t**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)*-2)\/(sqrt(21)\/sqrt(12)).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -110*s**3 + 1470*s - 4402*s + 2*s**2 + 1464*s + 2 + 1467*s in the form y*s**2 + h*s**3 + z*s + l and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -j*o**3 + 530*j*o**2 + 29*j*o - o**3 + 2786*o**2 - 8*o + 1 with respect to j.\nAnswer: -o**3 + 530*o**2 + 29*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the third derivative of -r**6\/120 - 2*r**5\/15 + r**4\/4 - r**3\/2 - 2*r**2. Let o be c(-9). What is the highest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 - 168*i + 817. Calculate s(163).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 948?\nAnswer: 4740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, u: 5, g: 2}. What is prob of sequence wggw?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, g: 1}. What is prob of picking 4 g?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiqiqkikkziikiiq. Give prob of picking 2 q.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 11:33 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 5*w**2 - w. Let p(b) = 5*b**3. Let l be p(1). Determine n(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and -0.3438.\nAnswer: -1.719","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-154)\/(-440)*-15*(-64)\/(-48)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-87)\/(-108) - ((-15)\/(-20))\/3. Suppose 2 = -0*h + 2*h. Is h less than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10546 + 10546.4. Let u = 316\/5 + -63. What is the smallest value in 1, u, -0.8, o?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 16835008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20\/81 in -3, 27\/8, -4, -23?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -6296, 1\/6, 0.19, 22?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -78*a**2 + 20437*a - 263. Give w(262).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 603*j**2 + 149*j**2 + 131*j**2 - 1012*j**2 + 130*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**6\/60 + 3*b**4\/2 + 7*b**3\/3 - 41*b**2 - 2*b. What is the tens digit of d(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 - -2311542?\nAnswer: 2311544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m - 5. Calculate the lowest common multiple of h(-4) and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 o when two letters picked without replacement from {q: 3, g: 1, z: 2, x: 1, n: 5, o: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 17344, 17343, 17342, 17341, 17340?\n\"Answer: -u + 17345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 742.9971 nanometers in meters?\nAnswer: 0.0000007429971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o = -25*o - 192. Sort 3, -1, 18, o in decreasing order.\nAnswer: 18, 3, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -1205\/1094?\nAnswer: -1205\/1094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*48 - 12\/((-336)\/(-196))?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(1\/4) + 88. Let x be -3*(-2)\/(-12)*s. Let u = x - -46. Solve q = 5*y + 20, u*y + 6 = -2*y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*h + 14, -h - 3*m + 8 = 1. What is the common denominator of -19\/10 and 3\/h + 3159\/(-360)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 93235 and -0.95.\nAnswer: 93234.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - l = 4*j - 20, -2*j + 8 = 5*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 2984240 to the nearest 10000.\nAnswer: 2980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = 5*w + 4*p, 3*p = -0*w + w - 10. Which is the closest to 0? (a) w (b) 2\/11 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t + 5 = 5*b, -24*b + 15 = -21*b + 2*t for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1901598226 and 2259.13.\nAnswer: -1901595966.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3163 - 206.2163. Let l = j + 206. Which is the fourth biggest value? (a) 2 (b) -8 (c) -3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.03 or -3.6486?\nAnswer: -3.6486","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1928 + -1923. What is the remainder when 291 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 6:37 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x - 1. Let o(d) = 8*d - 27. Let z(q) = o(q) - 3*t(q). What is the remainder when 31 is divided by z(7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2289*g**2 + 54*g - 377. Let w be v(77). Round w to the nearest one hundred thousand.\nAnswer: -13600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 - (-8)\/8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 15*s**2 - 1. Suppose 5*j + 0*j + 5 = 0. Let y be d(j). Solve y = -2*z - 2*c, -2*z + 0*z + 5*c = -14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 252 + 6229. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14 + 20 - (1 + 1 + 4). Suppose n = d - 4196 - 514. What is d rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p + p + 0*p - 3*p + 5*p + 0*p + 0*p + p + 0*p + (-1 + 1 - p)*(5 - 2 - 1) to m*p + t and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a kilogram in grams?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that b**5 + 4586*b**4 + 2246350*b**3 + 8843400*b**2 - 33503031*b - 40104666 = 0.\nAnswer: -4029, -553, -6, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-153)\/(-765))\/(1\/7)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 2. Let t(f) = 4*f + 2. Let w(p) = -7*p - 4. Let m(r) = -5*t(r) - 3*w(r). Determine m(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(-5))\/((-2)\/(-15)). Let f be -1 + ((-21)\/o)\/1. Let z = 46944.4 + -46944. Which is the third smallest value? (a) 0 (b) z (c) f (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 16012 and 25.\nAnswer: 400300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -11*a + 42. Let l be p(4). Is 3646*(l + (-20)\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the first derivative of z**4\/4 + 7*z**3\/3 - z**2\/2 - 4*z - 3. Calculate the least common multiple of 8 and m(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p - 5. Let o be f(6). Calculate the common denominator of 1\/(52\/46) + o and -25\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 8*g**2 + 70*g - 14. Give w(-13).\nAnswer: 428","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + -3. Suppose v = -2*d + d + 3. Suppose a - d*u = 1, -2*a = -u - 0*u - 17. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1279, -5090, -11441, -20332, -31763, -45734, -62245?\nAnswer: -81296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2*y + 10*y - 4 + 4 to the form u + d*y and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25538305 is divided by 137.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 + (-8)\/(-5))\/(3\/20). Suppose -2*l = 6*c - 2*c - s, 0 = 4*l - c - 21. Solve 4 = -2*z + l*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 574 = -28*j + 546. Let f be ((-6)\/5)\/(3\/(-20)). Are f and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183 - 73. Calculate the greatest common divisor of 22 and d.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h - 19 - 8979*h**3 + 19*h + 8972*h**3.\nAnswer: -7*h**3 - 7*h - 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -13020.\nAnswer: -3906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 11)*(-52)\/(-12). Let g = -38 - w. Which is bigger: 4\/33 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*p + 2*p**2)*(218 + 364 + 45).\nAnswer: 1254*p**2 + 1254*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(7\/5)*d)\/d*d*d*d**(6\/11))\/(d**(-2\/13)\/d**1) assuming d is positive.\nAnswer: d**(4361\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2458*l + 369894 = 239620 for l.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 87.\nAnswer: -6.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.314 + -0.3. Let d = v - 0.01399919. What is d rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -6212*c + 99669. Calculate w(16).\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes after 7:56 AM?\nAnswer: 3:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-205)\/123)\/(2*(-6)\/72*1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 13, 3\/5, 0.4, -2\/13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of -s**4\/12 - 4*s**3 + 2*s**2 + 7*s. Is w(-17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-231)\/11)\/((-3)\/(-1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109*j - 111*j = -5*f + 17, j + 6 = 2*f for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 + 24. Solve n - 1 = 3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of p**2 + 5*p + 2. Let o be d(-6). Let k(y) = -y**2 - 7*y - 2. Determine k(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(33\/6) + 62\/22\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**3 + 68*y**2 - 645*y + 20762. Give j(63).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -321, -60, 0.\nAnswer: -321, -60, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 15) in base 16?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 917359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u**3 - 12*u**2 + 6*u - 9. Let k(f) = -8*f**3 - 13*f**2 + 7*f - 10. Let w(z) = -6*k(z) + 7*l(z). Suppose 0 = 3*m + 13 + 5. What is w(m)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (1 - 8) - 3) + (-6 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 415 + -960. Let h be 2 + -2 + u + 1. Let v = -285 - h. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of 9*x**2 + 0 - 1\/12*x**4 - x + 0*x**3. Let m(s) = 12*s**2. Determine l(m(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -9*q**2 - 13*q + 23. What is p(2)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 + 338 = -3*h. Let f = h - -195. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 + 7*v**2 + 4. Let b be p(5). Let x = b - -92. Let m(t) = -6*t - 1. Calculate the remainder when x is divided by m(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((1 - 1)\/(-2))\/2. Suppose 2*r + 4*g + 56 = d, 5*r + 0*g + 84 = 4*g. Which is smaller: r or -19?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from oeoooroeoereeoe.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*l - l**2 + 2*l)*(3 - 2 - 2) - 1 + 1 + 4*l**2)*(2*l**3 + 2 - 2).\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 32?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 34336554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 0.48393642.\nAnswer: 2.48393642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 14) to base 10\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/10)\/(20\/3100). Suppose 392 = c*p - 122*p. Let d = 106 - p. Round d to the nearest ten.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 3*d**2 - 3 + 4.\nAnswer: -3*d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from {d: 3, w: 2, s: 7, c: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 18. Suppose -h = -0*m - 5*m + 18, -3*h - 5*m = -26. Suppose h*y - 13 - 1 = 0. Solve -p*b + 19 = y for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -46*l**3 + 14*l**3 + 32*l**3 - 721*l - 1438*l**5 + 6621*l wrt l?\nAnswer: -28760*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -131287*f + t = -131288*f + 16, -3*f - t + 8 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -101\/20*u**5 + 93*u + 1\/3*u**3 + 0*u**4 + 5\/2*u**2 + 0. Find the second derivative of j(m) wrt m.\nAnswer: -606*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 96 and 1280.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 11 + -6. Suppose -g + 15 = 2*g, 0 = 3*t - i*g + 13. Which is the smallest value? (a) -0.3 (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 60\/(-25)*(5\/2)\/(-1). Let l(h) = 35*h - 7. Let q(m) = 17*m - 3. Let p(k) = b*l(k) - 13*q(k). What are the prime factors of p(-9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 2*f + 3. Suppose 3*z + 3 + 9 = 3*g, 4 = z + 3*g. Calculate s(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**4\/3 + 2*f**3 + 8*f**2\/3.\nAnswer: f**2*(f + 2)*(f + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k + 1. Let y be t(-4). Suppose -4*p - 9 = 7, y*p = -4*z - 16. Solve w - z = -5 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(4\/11)*w\/(w**(7\/4)\/w)*w*w**(-1\/2)*w**(-3))**(-6) assuming w is positive.\nAnswer: w**(249\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 25388941 to the power of 1\/2, to the nearest integer?\nAnswer: 5039","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 664.5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, n: 1, c: 1, f: 1, k: 2, d: 2}. Give prob of sequence cn.\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 12*z = 221. Suppose 2*i - 3*d + 9 = 0, -3*d + z = 2*i - 4. Let j = 44 - 43. What is the lowest common multiple of j and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*r - 28*r - 14 - 40*r + 2 + 12.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -2*d**4\/3 - d. Let x(t) = -t**2. What is n(x(g))?\nAnswer: -8*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -7 + (-15 - 16)\/(52\/(-12)). Factor 0 - 2\/13*y + f*y**3 + 2\/13*y**4 - 2\/13*y**2.\nAnswer: 2*y*(y - 1)*(y + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1 + 1 = 0. Suppose -k + 2 + 1 = n. What is the common denominator of -46\/3 and 4 - k\/4*1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (-3 + -5 + 10 - 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4750676?\nAnswer: 2, 7, 169667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3 + 7*w - w**2 - 5 + 0. Calculate g(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/2231712 and -121\/2231712?\nAnswer: 2231712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-3))\/(2*(-1)\/(-1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/10 of a kilometer?\nAnswer: 30000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6454?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is ad + -aac0?\nAnswer: -aa11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 8 = -34. Suppose 0 = -c*p + 10*p + 180. List the prime factors of p.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 5)*(-3*f**2 + 2*f**2 - f**2)*(-2 + 0 + 3)*(-1 + 3 - 1).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(1\/7)\/l)*l)\/l)\/((l\/(l\/(l**(2\/7)\/l)*l))\/l)*(l**(-1\/4)\/l)**(6\/5) assuming l is positive.\nAnswer: l**(43\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -11) + -6 + -1 + 22 + -3\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**2 - 3. Let v be i(-3). Suppose 0 = v*k - 3*k - 126. Is 26 a factor of 1*-1*(1 - k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 890790 to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 886*m + 24185 + 15062 = 47*m + 9043 for m.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15251, -30484, -45697, -60890, -76063?\n\"Answer: 10*h**2 - 15263*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = -5*t + 3*y, t + 4*y = 6 + 27. Let l = -10 + t. Let a(z) = -2*z**2 - l + 7. Let m(g) = g. Give m(a(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1033 + -1032.99978045. What is x rounded to 6 decimal places?\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 less than -14970028?\nAnswer: -14970028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 12\/6 + 9 + (-14)\/2. Solve 12*i + b = 14*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - -1) + -7 + -4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 + 13*w**2 + 514*w**5 - 234*w**5 - 1 + 3 wrt w?\nAnswer: 16800*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*z - 256 = 189 + 171 for z.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 1. Let t(v) = 7*v - 23. Let h(g) = -6*m(g) + t(g). Let u(a) = -3*a + 14. Give 4*h(n) + 9*u(n).\nAnswer: n + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 605.5 + -606. What is the nearest to 0 in h, -2, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*q = 33*q + 49*q - 224 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*c**3 - 88*c**3 + 45*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f + 5*f - 25*f**2 - 4*f + 9059*f**3.\nAnswer: 9059*f**3 - 25*f**2 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -1248\/439567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 31042 and 27596338?\nAnswer: 27596338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 19462643 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 13, y: 6}. What is prob of sequence oo?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 32*c**2 + 46*c + 518. Determine b(-31).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 4*z - 7. Let d be c(6). Let m = d + 22. Does 2 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**0)**38)**33 assuming t is positive.\nAnswer: t**2508","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 63826, 63611, 63396?\n\"Answer: -215*d + 64041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6 - ((-4)\/(-2) + -1). Suppose -2*m = -j*m. Suppose 80 = -m*q + 4*q. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -466, -3, 4, -21 in descending order.\nAnswer: 4, 1, -3, -21, -466","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 42471 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 22 + (7\/3 - 2)\/((-32)\/576). Solve 0 = -2*g + 3*o + 11, 4*o - l = -2*g + 8*o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 3:07 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 11*q - 97. Let c be r(9). Let i = -5 + 2. Let l(v) = 4*v**3 - v**2 + 7*v - 6. Let x be l(1). Put 5, i, x, c in decreasing order.\nAnswer: 5, x, c, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -79*i**2. Let v(a) = -10350*a**2. Let k = 33650 + -33654. Calculate k*v(n) + 525*d(n).\nAnswer: -75*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -12*h**3 + 1 + 5 + 7*h**3 - 2*h + 21*h**2 + 9. Let w(z) = -3*z**3 + 11*z**2 - z + 7. Let n(v) = 4*d(v) - 7*w(v). Does 22 divide n(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1256403989 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*n, 2 + 2 = m - n. Find the third derivative of 6*v**2 - 2*v**2 - 2*v**3 - v**2 - 2*v**m wrt v.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence www when three letters picked without replacement from {y: 1, k: 4, w: 1, p: 3, i: 6, q: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -612, -625, -644, -669, -700?\nAnswer: -737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r**2. Let o(p) = -5 + 10 - 5 - 12*p**2 + 13*p**2. What is o(j(s))?\nAnswer: 25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 3) + (4 - (4 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 19\/6*r**3 - r + 0 - 29\/2*r**2. Is a(13) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 920.1 and 0.076.\nAnswer: 920.176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*w = 22*w + 96. Let c = -58 - w. Let t = 159 + c. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*-3*8\/12. Let d = -11 + 15. Suppose l*k = u + 4*k - 16, -d*k = 16. What is the units digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1136, -814, -284, 448, 1376, 2494, 3796?\n\"Answer: -v**3 + 110*v**2 - v - 1244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -263*k - 1. Let c be j(-1). Let x = c + -2909\/11. Let i = -1704 - -8494\/5. What is the common denominator of i and x?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/3 - 143666*u\/3 + 5159979889\/3 = 0. What is u?\nAnswer: 71833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2492887006 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2431*f**2 + 540*f**2 + 3 - 3.\nAnswer: -1891*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2))**29*(f**(-2))**(-1\/10) assuming f is positive.\nAnswer: f**(-289\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.73718279 to three dps.\nAnswer: 6.737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2169 and 8917?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((10\/(-1))\/(6\/3))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134.066 - 0.066. Let l = r + -133.736. Round l to 1 decimal place.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*w + 13*w + 6 = 0. Find r, given that 1\/2*r**2 + 7*r**4 + 0*r + 0 + 15\/4*r**w = 0.\nAnswer: -2\/7, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14.84 - 0.16. Sort 1\/9, s, -4.\nAnswer: s, -4, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in 3*l**5\/8 - 38319*l**4\/8 + 172251*l**3\/4 + 201057*l**2 - 306300*l - 459504 = 0?\nAnswer: -4, -1, 2, 12, 12764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2019643, -2019642, -2019641?\nAnswer: -2019640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -309 - -308.9. What is the closest to 1\/4 in 5, 0.06, w?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 380020702 to the nearest integer?\nAnswer: 19494","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -45 - 11. Let q = b - -57. Is q bigger than 2\/53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 - (5 + -26 + -6) - (-5 - 1)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 4:20 PM?\nAnswer: 4:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 977*b**5 + 5*b**3 + b**2 - 2260*b - 4?\nAnswer: 58620*b**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from ffffffpfffffp?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 331?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000462106288 to 5 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -226545 divided by 20595\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 296, -10, -14 in descending order.\nAnswer: 296, -10, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 - 21*z**2 - 38*z + 36. List the prime factors of h(-13).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 169537?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.376 - 0.37600007. Round h to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12100.1 + 12099. What is the closest to 1 in -2\/19, 1\/3, h, 0.7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/41, -3\/5, -0.1, -3, 0.1 in ascending order.\nAnswer: -3, -3\/5, -0.1, -4\/41, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -d + 3 - 11, 4*d = -4*a + 16. Solve -x - 6*f = -f - 13, -3*x = -4*f - d for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -4*f + 23, -27*f - 11*f + 28 = -4*o - 34*f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 140911617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3424, 3494, 3564, 3634, 3704?\nAnswer: 3774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w**2 - 58*w - 16. Determine m(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557847340 a multiple of 2509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {s: 3, j: 7, f: 2, z: 5}?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -115*h + 5. Let y be 0 + (8\/(-24))\/((-1)\/9). Let d be o(y). Let r = d + 5102\/15. What is the smallest value in 2, r, 13?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -14. Let g be -1 + c\/(-4)*(-18)\/(-15). Suppose -l - 12 = -4*l. Solve -l*x = o + x + 25, 0 = -g*o + 2*x - 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -802 - -2408\/3. Let v = 3.5 + -7.5. What is the nearest to 1 in z, -27, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 33*w - 3. What is the remainder when f(2) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 129*n - 4362 = 127*n. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 10*v**2 + 1\/50*v**5 + 0*v + 2\/15*v**3 + 0 + 1\/12*v**4. Find q, given that u(q) = 0.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p. Let g(x) be the second derivative of 0*x**2 + 0 - 1\/6*x**4 + 49\/3*x**3 - 131*x. What is g(z(q))?\nAnswer: -2*q**2 + 98*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/3 - 3*n + 6.\nAnswer: (n - 6)*(n - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + 8 + (-21)\/7. Suppose -3*i - 16 = -q*i. Suppose 5*n = -3*b + 63, -i - 51 = -4*b - n. Solve 0 = 4*g - 0*g - b for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2297546, -2297548, -2297550?\n\"Answer: -2*b - 2297544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17059 to the power of 1\/2, to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 3*s**2 - 21*s**2 + 9*s**2 + 9*s**2.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w - 8. Suppose 4*y = 7 + 97. Let b = 43 - y. What is the remainder when b is divided by p(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**3 - 7*c**2 - 9*c - 15. Let a be r(-7). What is the units digit of (23\/(-2))\/(2*(-2)\/a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4 - (-12)\/(-1 + 7)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2 - 13747017684533.\nAnswer: -13747017684534.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3283.90902 seconds?\nAnswer: 0.00542974375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -4, -91, 203 in descending order.\nAnswer: 203, 17, -4, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 + 9*s**2 + 2. Let q be n(9). Solve 11 = -q*d + 1 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 2 - 15 = -5*o, -5*o + 4*y = -41. Solve -5*n + 0*c = 2*c + 17, -o*n - 3*c - 18 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20482330 divided by 186203\nAnswer: -110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjssjs. Give prob of picking 1 j and 1 s.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/180*3\/2*6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r - 22*r = -570. Calculate the remainder when r is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2122121220 - -1221?\nAnswer: -2122112222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/8*-3*(-308)\/165?\nAnswer: 14\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 8 - 2434407*j + 2434395*j.\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 23456 (base 8) in base 9?\nAnswer: 14674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 1794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1075 a factor of 3067668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 33*n + 748. Which is smaller: -20 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213184435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 418 divide 223481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46418*w + 39*w**3 - 11*w**3 - 46418*w.\nAnswer: 28*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 11*f - 9. Let q(w) = -22*w + 19. Suppose o = 2*c + 2, -4*c = -74*o + 75*o - 14. What is o*q(d) + 13*z(d)?\nAnswer: 11*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/9*(-8742)\/188. Is 42 bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l. Let a(x) = x + 1. Let y(z) = -8*z - 4. Let h(r) = -4*a(r) - y(r). Let k(j) = -j. Let o(m) = h(m) + 3*k(m). Determine p(o(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 4595, 9186, 13777, 18368, 22959?\n\"Answer: 4591*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 559\/2556 - -1\/284. Suppose -t + 67 = 2*i + 183, 2*i - t = -120. Let d = -55 - i. Which is the closest to -5? (a) j (b) 0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 312, 22909 in descending order.\nAnswer: 22909, 312, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1984 and 4898?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tyy when three letters picked without replacement from ymfmfmfcyjyyyjt.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**3 + 5*q**2 - 6*q + 7. Let o(d) = d**2 - 7*d + 9. Let b(c) = c**2 - 7*c + 8. Let n(v) = 5*b(v) - 4*o(v). Let t be n(2). Give a(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -6. Let t = 0.2 - -0.8. Let j = -2 + t. Is j > f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -80220 to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6813 divided by -2271\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 221 divided by -11?\nAnswer: -221\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111361 is divided by 111333.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*y**3 + 2*y**2 - 493754*y + 228104195 wrt y.\nAnswer: 12*y**2 + 4*y - 493754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 202969408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4052417?\nAnswer: 1453, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4975.058 - -4970. Let y = -0.058 - x. Which is the fourth biggest value? (a) 1\/3 (b) -5 (c) y (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*45\/60*(-3)\/45*8\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -424 equal to -410?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 42504974 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - c**2 - c. Let p be -2*(0 + -2 + (-1 - -4)). Let y(g) = 3*g**3 - 2*g**2 - 2*g. Give p*b(n) + y(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6748 and 16.\nAnswer: 26992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1097?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times -0.5\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1302616\/5 or 260524?\nAnswer: 1302616\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, -1626 in increasing order.\nAnswer: -1626, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k + 2. Let t be m(1). Which is greater: -1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 6*o + 5. What is the common denominator of ((-4)\/(-3))\/((-22)\/57) and u(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 2*b. Let t(m) = -17793851*m. Determine t(x(a)).\nAnswer: -35587702*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -270 or 0.23?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.307 and -1.2?\nAnswer: 1.507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -1\/11, 3, -0.97?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x + 5. Let z be q(4). Let l = 1 + z. Suppose -g = 3*g, -182 = -l*m + g. Calculate the remainder when m is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2.2 (b) 0.2 (c) -0.4 (d) 6\/1045\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + 3 - 3)*(0 - n + 0)*(-4 - 3 + 5)*(-4 + 3 + 0)*(-3 + 4 - 5).\nAnswer: -16*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2355915341 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003532991951 rounded to five dps?\nAnswer: 0.00353","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 679 is divided by 142.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1282967509 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -8*c - 11. Give z(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q = 10. Let o be (17\/q)\/(1\/2). Suppose -2*f - 3 = -o. Calculate the remainder when f is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6 and 1434.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 4*b - 14. Determine i(10).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5182061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 214.2241 decades?\nAnswer: 21.42241","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1071.75 - 1072. Which is the second smallest value? (a) n (b) 5 (c) 1 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 31776 + 39?\nAnswer: 317b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - -a7b0?\nAnswer: a7a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*y + 3172*y = 34969 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/4)\/(1\/8*-1). Suppose i = 1 + 1. What is k in -6*k**2 + i*k**3 + 2*k + 4*k**3 + 4*k**4 - 6*k**z = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s**(-1\/7)*s)\/(s\/s**(-2\/9)))\/(s**(-1)\/s*s**(-3)))\/(((s\/(s*s*s**(-1)*s)*s)\/s)**(5\/13))**(-2\/13) assuming s is positive.\nAnswer: s**(48718\/10647)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53355*j**3*o*r**3 - j**3*o*r**2 - 14*j*o*r**2 - 4*o*r**3 + 3*r**3 + 32677*r**2 wrt r.\nAnswer: 320130*j**3*o - 24*o + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 18 = 3*p + 6, 20 = 5*s + 5*p. Suppose 2*y = -s*y. Solve 3*f = -y*f + 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 164, 168, 3 in ascending order.\nAnswer: 3, 164, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/3))**(-19)*(x**(-1))**(-50)*((x\/(x\/(x\/(x**(2\/5)*x))))**(-7))**(3\/46) assuming x is positive.\nAnswer: x**(21683\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -3\/5 (c) 3 (d) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 572? (a) 5 (b) 4 (c) -0.4 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 168 is divided by 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 24 - 20. Suppose 1 + f = 5*g. Calculate the common denominator of (-670)\/60 + (-2 - g) and 21\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4*d*i**2 - d*i*x**3 + 35*d*i*x**2 - 7*d*x**3 + 21*d*x**2 - x**3 wrt i.\nAnswer: -8*d*i - d*x**3 + 35*d*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 904590?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*r = 4*h + 5, 55 - 56 = -3*r + h for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -665872 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -74*z - 2439. Give k(-32).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + 26?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408700029?\nAnswer: 3, 1997, 68219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the second derivative of -i**3\/6 + 15*i**2\/2 - 2*i - 9. Determine p(11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sm when two letters picked without replacement from {a: 2, m: 1, w: 1, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*z - 11. What is the derivative of -3*d**2 - z - 4*d**3 + 3*d**2 + d**3 wrt d?\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 13*y - 19. Let q = 40 + -40. Suppose -7*k + 79 - 2 = q. Let b be n(k). Solve 0 = -b*l + 15, s + 2*s = 3*l for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-8*o**3 - 340*o**2 - 374*o**2 + 746*o**2).\nAnswer: 8*o**3 - 32*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 46085 less than 14332792\/311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -15*g**2 - 4290*g - 4280. What is d(-285)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s. Let x(a) = -2*a**2 + 8*a - 602. Determine f(x(m)).\nAnswer: 4*m**2 - 16*m + 1204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**3 - 17*m**2 - 9*m - 5. Let p be x(-8). Solve p*z + 2*y = 6*y + 12, 3 = -z - y for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 + 15*v**2 - 19*v. Let c be n(-16). Put 1, c, -6 in increasing order.\nAnswer: -6, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 532527.912 milliseconds?\nAnswer: 0.0008805025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 - 3.7484. Let k = -0.3354 - n. Round k to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*k + 14*k = -199*k - 3430 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 188 - 69. Calculate the remainder when j is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 3180.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 49 = -371. Let c(j) = -j**2 + 13*j - 43. Give c(v).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 3 + (-2219)\/(-35) + (-112)\/80?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - -374?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52287.83 decades to years.\nAnswer: 522878.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11223888 divided by 156?\nAnswer: 71948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-42)*(-1 + 33\/(-15))\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**4 + 24*j**3 - 90*j**2 + 100*j.\nAnswer: -2*j*(j - 5)**2*(j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 276957 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, b: 3, r: 6, t: 1, f: 2, j: 2}. Give prob of sequence qt.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 - 12*f - 27. Let r be x(-9). Let b(m) be the third derivative of -m**2 + r*m + 0 + 0*m**4 + 0*m**3 - 1\/30*m**5. Let t(o) = -o. What is t(b(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 364 a factor of 112810?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjhjjjhjhh. Give prob of picking 1 j and 2 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*t*u**3 - 159*t*u - 22*u**5 - 2*u**2 wrt u.\nAnswer: -12*t*u - 440*u**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g + 2*i - 13 = 7*i, -5*i = -5*g + 25 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) 0.3 (c) -61679 (d) 1 (e) -6\/5 (f) -2 (g) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 8:52 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1040312 - -3?\nAnswer: -1040304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -6, -306, 2, -151 in ascending order.\nAnswer: -306, -151, -6, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 2\/9, -124, -1\/21, -2\/7, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1153143037\/247680 - -1\/82560. Let r = 4729 - u. Let i = r - 73. Which is the biggest value? (a) -2 (b) i (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 16\/12*3 - -52. Suppose -2*a + 5*x - 4 = 0, -4 = 4*a - 7*a + 5*x. What is the highest common factor of y and a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 17 = -25 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-10)\/(9\/((-234)\/4)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*2\/12*9. Suppose 9 = f + 3*d, f - 6*f - 4*d + 12 = 0. Suppose f - 1\/3*g - 1\/3*g**t + 2\/3*g**2 = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 5*u + 79. Let c be y(12). Put -4, c, 2 in descending order.\nAnswer: 2, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 54, 74, 12, -174, -526, -1086, -1896, -2998?\n\"Answer: -7*u**3 + u**2 + 66*u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 2*l = -55, 4*h = -0*h + 4*l + 72. Suppose 3*t = -2*t - 20, 5*b = 3*t - h. Let w = b + 23. Calculate the smallest common multiple of 4 and w.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*m - 4 - 31*m - 39*m.\nAnswer: -49*m - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 421649489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.164 (b) -0.5 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1373 to the power of 1\/2, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3*w**2 + 12*w - 23. Let k(i) = -22 + 8*i + 0*i + 4*i + 2*i**2. Let o(v) = 5*k(v) - 4*p(v). Factor o(n).\nAnswer: -2*(n - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17952 and 204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*y = -15*y + 84 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1\/8 (b) -0.3 (c) 44 (d) -4 (e) -2\/5 (f) -0.009 (g) -15\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.018 from -40.414.\nAnswer: -37.396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15636 by -7818.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/72 and 137\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**6\/21 - 3*h**4\/14 - 4*h**3\/21 + 10. Solve k(s) = 0 for s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from smszzmzummsm. What is prob of picking 1 z and 2 s?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 283*r**2 + 380*r - 755*r + 375*r + 624*r**2.\nAnswer: 907*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 5*x - 218, -145 = -2*y + 3*x. Is y a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -163*f + 981. Let b be z(6). Factor 2*q + b + 1\/3*q**2.\nAnswer: (q + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01644 to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 8*k**2 - 20*k - 3. Let l be o(10). Let i be 1*l*(-27)\/324. Determine m, given that -i*m**2 + m - 1 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-18)*162\/(-3)*54\/(-36)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6355 divided by 1271\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 67\/235 - 4\/47. Let r = 46 + -40. Let y be 4 + (25\/r)\/(-1). Is y smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4 + 1)*(70\/15)\/7. Let s be (12 - 11)\/(k\/(-7360000)). What is s rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 701?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 446047 (base 14) to base 5.\nAnswer: 1043241422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 7, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1048296317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*-2)\/(11 - (-94)\/(-6)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 times 2593498?\nAnswer: 207479840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -247, -249, -249, -247?\n\"Answer: a**2 - 5*a - 243","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 c when three letters picked without replacement from yyeyyycce?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**9\/(m\/(m*m**(2\/5)\/m)*m))**(-35)\/((m\/(m*m\/(m*m*m**1*m)))**22\/(m**(2\/5))**13) assuming m is positive.\nAnswer: m**(-1599\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iietveiiihmei. What is prob of sequence iit?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2848, 5604, 8324, 10996, 13608, 16148, 18604?\n\"Answer: -2*t**3 - 6*t**2 + 2788*t + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 59*b**2 - 948*b + 70. What is n(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36368 - 36368 - 19*z.\nAnswer: -19*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1185989 + 2*f**2 + 395327 - 3*f**2 + 395331 + 395331.\nAnswer: -f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -20. Suppose 3*j - 2*l = -c*l + 3, -4 = j + 2*l. What is the derivative of -6*z**3 + 4*z**2 - 4 + 0*z**3 - 4*z**j wrt z?\nAnswer: -18*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of -s + 2\/15*s**3 - 2\/105*s**7 + 0*s**2 - 2\/15*s**4 + 0*s**5 + 4\/75*s**6 + 0. Factor f(u).\nAnswer: -4*u*(u - 1)**3*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2255*z. Let j(x) = -41241*x**2. Determine h(j(u)).\nAnswer: -92998455*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23649720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187699829 and 45749?\nAnswer: 4159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 2*y = -y + 42, 5*y + 170 = 5*d. Suppose -5*l = -3*p + 12, l + 51 = 4*p + 6*l. What is the greatest common factor of d and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*k = -116*k - 1520. Let w = 422 - k. Calculate the greatest common factor of 21 and w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 9 (b) 3\/41 (c) -7 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 10 = -3*i + 2*i, -34 = -4*i + 2*u. Suppose 1157*m - 10508 = 1015*m. Let a = i + m. Is 9 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 - (6 + -19 - ((-16 - -4) + 1 + 5))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 4\/5 (b) 0.3 (c) -96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/9*(-30)\/25*1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 2 - -2) + (-636 - -643)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.053*-0.44.\nAnswer: 0.02332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = -3*h - 2*h + 23, -5*y = -4*h + 22 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 - 13. Let l be i + -1 + 60\/20. Let f = l - -3. Solve 2*v - 14 = f*r, -2*v + 0*v = -4*r - 12 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*h - 14*h - 22*h + 77*h - 23*h + 7*h**2.\nAnswer: 7*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 2 + 95394*n**2 - 80778*n**2.\nAnswer: 14616*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.3 - -1.3. Let l = 4.7 + g. Does l = 0.08?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 47878*c**3*o - 32*c**3 + c**2*o - 2591*c**2 - c*o + o + 2 wrt o.\nAnswer: 47878*c**3 + c**2 - c + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (43 + k - 34*k**2 + 0*k**2 + 37*k**2)*(2 - 2 - 2 + (3 - 2 - 2)*(-2 + 2 - 1) + 3 - 2 - 3) to y + j*k + p*k**2 and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2426 - 153689.959.\nAnswer: -156115.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4.05. Let t = y + -0.45. Let v = -29\/60 + 3\/20. Which is the nearest to v? (a) -4 (b) t (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 2*x**4 + x**3 - x. Let q(a) = a**4 + a**3 - a - 1. Suppose 5 = -8*t + 3*t. Let n(j) = t*q(j) + m(j). Find the first derivative of n(h) wrt h.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5469*f - 1571*f + 6535*f.\nAnswer: 10433*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 117009535 to the power of 1\/2, to the nearest integer?\nAnswer: 10817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12002202212.872148074 + -12002202194. Let q = 201.872147344 - c. Let j = -183 + q. Round j to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 + -10. Suppose 3 + k = 2*u. Solve -5*z = u, 5*p - 39 + 12 = 2*z for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 881146379?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) 4 (c) -154\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 - 469\/8. What is the smallest value in 0.3, -6, o?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*m**3*z - m**2*z + 290*m*z + 583*z with respect to m.\nAnswer: -9*m**2*z - 2*m*z + 290*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2318, -2341, -2388, -2465, -2578, -2733, -2936, -3193?\n\"Answer: -d**3 - 6*d**2 + 2*d - 2313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 54.\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + -62. Let y = c + 112. Solve -2*d = -y*z + 2, -2*d - 2*z + 16 = 2*z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/8)*n)\/n)\/n*n**(-2\/15)*n**(5\/6)\/n**(6\/5) assuming n is positive.\nAnswer: n**(-11\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1161 and 215?\nAnswer: 5805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the second derivative of d**7\/840 - d**6\/120 - d**3\/6 - 2*d. Let s(b) be the second derivative of z(b). Find the third derivative of s(m) wrt m.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -12 + 8 - -20273 - -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 2127 = 5*q, 3*q + q + 2*n - 1696 = 0. What are the prime factors of q?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the second derivative of -j**7\/147 + j**5\/35 - j**3\/21 - 10*j. Factor f(k).\nAnswer: -2*k*(k - 1)**2*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.43 and -410725818?\nAnswer: 410725818.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**3\/11 + 14*r**2\/11 + 5506*r\/11 + 37170\/11 = 0. Calculate r.\nAnswer: -45, -7, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 396*k**4 + 162*k**2 - 394*k**4 - 41*k**3 + 166*k**2 wrt k.\nAnswer: 48*k - 246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 10998175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.640458 years to decades.\nAnswer: 0.0640458","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4536 divide 1663284922?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203235321 (base 6) to base 12.\nAnswer: 1218b41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 86614179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.11 - 4.11. Let h(v) = -v - 6. Let g be h(-4). Let x be -2*(-2 - 11\/(-5)). What is the closest to g in 2\/7, x, w?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -61\/3 - -21. Let n = 0 - 0. What is the second biggest value in -4, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 321845018.\nAnswer: 2, 11, 37, 113, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m. Let a(s) = 8*s**2 + 6*s - 3. Let d(i) = a(i) - 6*k(i). What is the first derivative of d(y) wrt y?\nAnswer: 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16\/(-2) + 4 + (-5 - -1). Let q = 10 + -14. Let r be (5\/2)\/(q\/o). Solve -l + 2*x + 6 = x, -l + r*x + 22 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 9 - 6 = -3*h, -2*g = -h - 2. Solve 107*p**2 - 109*p**2 + g*p**3 - 5*p**3 = 0 for p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 33. Let n be 0 + -3 + 0 - z. Solve 0 = -2*l + n*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -19 - -21. Let m(p) be the second derivative of -1\/2*p**l + 0 + 2*p - 1\/3*p**3. What is the derivative of m(i) wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u + 3. Calculate a(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140, -1356, -4716, -11294, -22164, -38400, -61076?\nAnswer: -91266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2711629 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*p + 70*p = f - 355815, 2*f = 4*p - 1423230. Round p to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1208137 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2364*r - 2364*r + 71*r**2)*(-r**3 + 3*r**3 + r**3) - 2*r**5 + 0*r**5 + r**5.\nAnswer: 212*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + -13030121?\nAnswer: -13030120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 376 and 149007343?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w - 8 + 9 + 30*w.\nAnswer: 26*w + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 176.0321 millennia in months?\nAnswer: 2112385.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -33*y + 175. Give z(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 0 = 5*w - 23, 15 = 5*w. Suppose 0 = -2*t + 10, t - 3420 = -7*b + l*b. 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 = -458.1 - -461.1. Let k = -0.11 + 4.11. Let h = 2.1 - 0.1. What is the second biggest value in r, h, k?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -807788 (b) 1\/5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 61223.25l in millilitres?\nAnswer: 61223250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, -3, -7433 in ascending order.\nAnswer: -7433, -5, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 (base 8) in base 7?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 1 + 2 = 0. Suppose 0 = -k*j + 2*j + 21. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/15 - 46228\/(-8255)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 0.9. Let d = -0.9 + q. Let n = 1.9 - 1.4. What is the smallest value in 1\/3, d, n?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -21. Let d = n - -8. Let a = -14210 - -14214. Solve -3*z = -2*q + a*q + 9, -2*q - 4 = -d*z for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 0.09, 2\/7, 125, 8, -780?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 2304?\nAnswer: 11520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000014408076798 to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 19*f**2 + 43*f. Let i(x) = 111*x - 27. Let l(h) = -h**2 + 10*h - 3. Let t(p) = -i(p) + 9*l(p). What is 6*g(b) + 13*t(b)?\nAnswer: -3*b**2 - 15*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -25*m - 17. Let l(h) = 4*h + 3. Let d be 63\/15*(0 - -5). Let f = -27 + d. Let b(x) = f*r(x) - 34*l(x). Let t(o) = o**2. Calculate t(b(z)).\nAnswer: 196*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8086751 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305689017 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2401 (base 5) to base 6\nAnswer: 1343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 23 - 38. Let j = 15 + k. Suppose -3*m + 12 + 0 = j. Solve -m*c + g = 21, 4*g = -5*c - 20 - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 3604141803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r - 5. Let g be v(-6). Let j = g + 0. Let u be ((-60)\/300)\/(-1*(-2)\/(-10)). Is j > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 8990.043 centuries?\nAnswer: 899.0043","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66732 is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 17*q + 56. Let n(y) = -33*y - 98. Let h(k) = -7*a(k) - 4*n(k). Calculate h(-8).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 82937720 and 93240.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the first derivative of 0*q**4 + 0*q**3 + q + 0*q**2 - 2\/5*q**5 + 4. What is the derivative of b(s) wrt s?\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1748636.\nAnswer: 2, 437159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228) - (sqrt(228) + (2*sqrt(228) + sqrt(228))*-1))\/(sqrt(72)\/(sqrt(6)*2)) - (sqrt(133) - (sqrt(133) + sqrt(133)*-2*6))\/(-2*sqrt(175)).\nAnswer: 36*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 904 and 12769.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8 = -9*a. Suppose 0 = 5*w + 4*p - 54, 0 = 2*w + a*p - 33 + 11. Does 2 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 2245551?\nAnswer: -2245553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 296 - -1?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/(-14)*-3 + -1. Let a = -957\/5 - -192. What is the nearest to u in a, -2, -0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1214279\/39291 + (-30 - 1)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1173757 + 3702536 = -22291*u + 1392*u for u.\nAnswer: -121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16376, -18627, -20880, -23135, -25392, -27651, -29912?\nAnswer: -32175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n = 19*n + 35. Let p(y) be the third derivative of y**4\/24 - y**3\/6 - 3*y**2. Let a(l) = -6*l + 4. What is n*a(g) - 5*p(g)?\nAnswer: g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -145*i**2. Let p(l) = 2*l**2. Give m(p(b)).\nAnswer: -580*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11187 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = i - 1. Let h(g) = 3*g - 4. Let x(y) = 3*h(y) - 12*z(y). Let j(w) = 23*w. Give j(x(n)).\nAnswer: -69*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 14 = -3*y, -148*t + 15 = -148*t - 5*y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-70))\/(1*(-9)\/12)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwxwfxexfhffxfewf. What is prob of picking 2 f and 1 w?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v - 15. Let y be f(-9). Suppose -y*b = -12*b + 27. Let n(d) = -13*d - 4. Let u(a) = -6*a - 2. Let g(l) = b*n(l) - 7*u(l). Determine g(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vmvvvmvmlmnvmmvvvmm. Give prob of picking 1 n and 2 m.\nAnswer: 28\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -227 + 227 = -242*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84)*-2 - sqrt(84))*-1 - -4*(1*sqrt(84) - sqrt(84)) - 2*((sqrt(84) - sqrt(84)*2) + sqrt(84))*5)\/((3*-1*sqrt(72))\/(2*sqrt(24)\/sqrt(4))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -5. Let q = -0.86 - 4.14. Which is the nearest to m? (a) -1\/3 (b) -1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2396659743 plus 43?\nAnswer: 2396659786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*j = 2933 + 1851. Does 6 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1693*i**5 + 59*i**2 - 26621*i wrt i?\nAnswer: 33860*i**3 + 118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*((sqrt(343) - (sqrt(343) + 0)**2) + sqrt(343)) - (sqrt(343) + (sqrt(343) + 1)**2*-6)) + -1 + 3*(sqrt(343)*-1 + 0)*-3.\nAnswer: 70*sqrt(7) + 3778","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {h: 2, f: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = 2*d + 15, -30*d - 28*d + 16*d = -39*d - 64*x + 710 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3211878.\nAnswer: 2, 3, 17, 31489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 10*f - 15. Let d be z(-7). Let x be 5*(-2 + (-12)\/(-5)). Solve -2*u + u - d = p, 2*u + x = 3*p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -93*v + 25. Suppose 5*r = f - 7, -3*f - 27 = 2*r - r. Let c be t(f). What is c rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/1566 and 13\/2088?\nAnswer: 6264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/443 in -0.13, -13, -4, -3?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 413.6812l?\nAnswer: 413681.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1104081 and 1003710?\nAnswer: 11040810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (216\/(-36))\/(-3*6\/(-48)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3792 (base 16) to base 9\nAnswer: -21456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: cb0 (base 13) to base 16\nAnswer: 87b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -0.43?\nAnswer: 0.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/15)\/(c*c\/c**(4\/7)))**22\/((c\/(c**0\/c*c))**2\/(c\/(c*c\/(c*c*c*c\/((c\/(c\/(c\/(c*c**(-5\/2)\/c)*c)))\/c)*c))*c*c\/(c*c**0))) assuming c is positive.\nAnswer: c**(-7321\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1118164?\nAnswer: 2, 279541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5937795845 - -67863068757314\/11429. Let c be (-12)\/(-2078)*2*-1. Let s = c + k. What is the common denominator of s and -2\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3238 - -3242. Let o(u) be the second derivative of 0 + 0*u**2 - 1\/12*u**s + 0*u**3 - 17*u. Let g(b) = 17*b. Determine o(g(d)).\nAnswer: -289*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 763713 <= 763695?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15393321 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 1932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 8\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6057?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2641 + 2646. Which is the closest to 4\/243? (a) v (b) 0.5 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -72917*p**3 + 145827*p**3 - 72921*p**3 - 14*p**2 - p**4 + 44*p + 72 = 0.\nAnswer: -9, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.676 - -0.76. Let x = -0.083989 + y. What is x rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(((-308)\/18)\/2). Let s = 14\/11 + v. Factor 10\/7*b + s - 2*b**2.\nAnswer: -2*(b - 1)*(7*b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -4, -3*g = 2837*j - 2841*j - 118 for j.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32238 is divided by 672.\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(39)\/sqrt(3) + 5 - (2*sqrt(13) + 2 - (0 + sqrt(39)\/sqrt(3))))*-4)**2.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -131*a - 15. Let k(s) = 175*s + 15. Let c(m) = -3*k(m) - 4*v(m). Give c(10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32\/13 - 185\/91. What is the nearest to 0.1 in -2\/3, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 6*s + 4. Let y be a(-6). Let f(u) = -7 - u + 0*u + 20 + y. Let x be f(8). Solve -2*h + x - 3 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o\/(o\/(o**(1\/3)\/o)))))*o\/(o*o*o**(-5\/2)))**(1\/4) assuming o is positive.\nAnswer: o**(19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2330, 2300, 2222, 2072, 1826, 1460?\nAnswer: 950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -17 - -17.5. Which is the nearest to -1? (a) -0.2 (b) -5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 21281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 9}. What is prob of picking 4 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6915, 0, 70, -5.\nAnswer: -5, 0, 70, 6915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*v + (0 + 1 + 1)*(3 - 3 - 2*v) - 2*v + 2*v - 2*v - 7*v + 3*v + 2*v)*(-v**3 - 5*v**4 + 0*v**3 + 3*v**4).\nAnswer: 8*v**5 + 4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 3*y = 106, 1322*y = 5*o + 1327*y + 180 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*u = -17 + 17 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -60928, -121875, -182826, -243781, -304740, -365703?\n\"Answer: -2*a**2 - 60941*a + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z + 8. Let g be 6\/(-4)*z\/3. Let t(v) be the first derivative of v**2 - 2*v + 1. Calculate t(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/15 - (-28)\/240. Let d = 1.7 + -0.7. Suppose -4 - 2 = 3*f. What is the closest to d in f, -3\/2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v - 6 = -12*v. Let t(k) = 64*k - 2. Let d be t(v). Calculate the highest common divisor of d and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1738365 and 3?\nAnswer: 1738365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 116, 311, 566, 881, 1256?\n\"Answer: 30*x**2 + 105*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 15*g**2 + 5*g + 16. Suppose -4*a + 11 = -s, s - 16 = -5*a - 0*s. Suppose 22 - 10 = -a*u. What are the prime factors of v(u)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b*(b\/(b\/(b**(1\/2)*b)))\/b*b))\/b**(3\/4))\/(b**2\/((b*b**(-6)*b)\/b)))**24 assuming b is positive.\nAnswer: b**(-222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 3840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -409 = 8*c - 1129. Does 2 divide 38 + ((-2)\/10 - (-18)\/c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2691, 2710, 2729, 2748?\nAnswer: 2767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 203, -3.\nAnswer: -3, 21, 203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0678456*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.42, -5, -0.01, -0.118?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -3506654.\nAnswer: 19\/3506654","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8573 + 14627. What is d rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -4. Let k(f) = -5 + 9*f**2 - 11*f - 5*f + 22*f. Let m(w) = 4*w**2 + 3*w - 2. Determine b*m(u) - 2*k(u).\nAnswer: 2*u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 21000665 a multiple of 976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 28, -4, -1\/41?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 170 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t\/t**(-5))\/t)\/t*t**(-7\/3))\/(t**1)**41 assuming t is positive.\nAnswer: t**(-118\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9103708 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: Simplify -5*(sqrt(304) + 1 + 4) + 5 + 2.\nAnswer: -20*sqrt(19) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 4032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/(o**(-3\/2)\/o))\/o*o)**18 assuming o is positive.\nAnswer: o**81","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + 23*y - 6*y - 19*y - 1419*y**2.\nAnswer: -1419*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14 + -12. Find the common denominator of (-216)\/45 - y\/8 and -73\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -6*d*m*w**2 + 47397*d*m + 138*d*w**3 - d*w**2 wrt w.\nAnswer: -12*d*m*w + 414*d*w**2 - 2*d*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -d + 54*a - 51*a, 2*d = 2*a - 16. Let w(t) = -t**3 + t**2 - 20*t + 5. Determine w(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 69891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from allaalkllaka. Give prob of sequence klk.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 624 in -352, 6, 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.984 - -0.016. Let m = -0.068 + 4.068. Which is the second biggest value? (a) -0.3 (b) -0.02 (c) y (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/24? (a) -61 (b) 0.2 (c) 3 (d) 5 (e) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 3*p = 11, 5*z - 4*p + 7 + 6 = 0. Let b be (53 + -55)*z*3\/(-2). Let n(u) = 5*u**2. Determine n(b).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1120324 (base 5) to base 14\nAnswer: 746d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -5, -2\/13 in increasing order.\nAnswer: -5, -2\/13, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 i when three letters picked without replacement from {n: 3, i: 4, a: 7, j: 1, z: 2}.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((322\/(-8))\/(-7))\/((-1)\/(-92)). Let o = 529 - u. Solve b + 2 + 0 = 3*h, 4*h - 4 = o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**5 + 680*b**4 - 9276*b**3 + 43472*b**2 - 81728*b + 46848.\nAnswer: 4*(b - 4)**3*(b - 1)*(b + 183)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (85\/15 + -4)\/((-12)\/(-18)) - 97\/2.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1503 - -1505. Solve 2*r + 2*x - 4 = -0*r, -2 = -r - j*x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -32*f**2. Let a(y) be the third derivative of -7*y**5\/60 - 3*y**2 + 31*y. Calculate q(a(h)).\nAnswer: -1568*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.95 and 5078343?\nAnswer: 4824425.85","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -33240174 (base 9) to base 4\nAnswer: -331113222220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 6) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/646 and 71\/72.\nAnswer: 23256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6 - -213?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5 + 62)*3\/9. Factor -31 - 4*c**2 + 12 + s + 8*c.\nAnswer: -4*c*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-18))\/(1\/4)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 16*z - 1. Let x be s(1). Let p be (-9)\/(-15) - (-351)\/x. What is the highest common factor of 6 and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**5 + 2265*q**4 - 207640*q**3 + 205380*q**2 = 0. What is q?\nAnswer: 0, 1, 126, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 - 9. Suppose 2*h = l*h - 400. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 10:46 PM?\nAnswer: 8:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 52? (a) 2 (b) -0.15 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, 0, -1\/7, 12, 1, -0.2 in decreasing order.\nAnswer: 12, 1, 0, -1\/7, -0.2, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzsww. What is prob of sequence wzz?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -192*r**2 - 1527*r + 72. Calculate p(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1.12, 1\/56, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8*f**3. Let x be c(1). Let a = 8 - x. Let s(p) = -p - p**2 + 5*p**2 - 3*p**2. Calculate s(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) -0.504 (b) 49 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 93262 and 102?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -352, -684, -1002, -1306, -1596?\n\"Answer: 7*z**2 - 353*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 - 6*s**2 - 19*s - 47. Does 19 divide l(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 1003311?\nAnswer: -1003303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -6868773 >= -6868774?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.03 - -0.13. Let g = m - -0.5. What is the third smallest value in g, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {t: 4, n: 5, k: 3}.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 83*r**3 - 73*r**2 + 20*r - 3. Calculate o(-1).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = -j. Suppose 0 = -2*m - j*w - 2, 4*m + 4*w + w + 7 = 0. Sort -4, m, 0 in descending order.\nAnswer: m, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 459 + 1942*d - 2704 - 972*d - 967*d in the form f + p*d and give f.\nAnswer: -2245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -389971 and -5076.\nAnswer: -395047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3340217 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n - 167 = 78. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h + 4. Let i(t) = -t + 1. Let s(x) = a(x) + 5*i(x). Let n(o) = -3*o + 10. Suppose -202 = 41*z - 38. Determine z*s(l) + 3*n(l).\nAnswer: -l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 904*a**2 - 55*a + 18. Is v(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -99*q + 543 + 480 - 2692 = 2291 for q.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.4 or 312?\nAnswer: 312","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/2)\/((-3)\/(-33)*-2). Suppose -4*h - m = -15*h. Put -2, -55, h in descending order.\nAnswer: h, -2, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 0*t**6 + 0*t**3 + 0 + 0*t**4 + 0*t**5 + 2\/105*t**7 + 0*t - 7*t**2. Factor d(f).\nAnswer: 4*f**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15468608 by -16.\nAnswer: 966788","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 4 - 12)*((-45)\/3)\/(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 3:59 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.5, 3, 2\/9, 22\/7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 148283873914.2 from -0.8.\nAnswer: -148283873915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2315119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 359663 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-22807437)\/(-524628) - 2\/8. Let m = -5121\/118 + t. Let j = 2\/247 + m. Which is the closest to j? (a) 1 (b) -5\/4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -l + 37, 13*z - 5*l + 3301 - 3281 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 40 = 4*k - 3*a, 2*a = 2*k - 26. Calculate the remainder when 68*((-5)\/10 + 1) is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/11? (a) 1\/1106 (b) 2602 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1.8, -4, -0.3 in decreasing order.\nAnswer: 1.8, -0.3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4*q**2 - 241*q - 54. Let r be s(-60). Suppose -y + 9 = -4*y. Let v be (-6)\/(-9) - 16\/y. What is the greatest common divisor of v and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/18*2*3\/(-14)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*l + 14*l - 19*l - 51*l.\nAnswer: -42*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*d**4 + 3*d**4 + 14*d**4)*(263*d + 30 - 118 + 47 + 5*d + 41).\nAnswer: 2412*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/349286193 or 1?\nAnswer: 2\/349286193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-190)*5294\/6. Let i = t + -3\/19. Let a = i + -71. What is the third smallest value in -2, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -99 + 8\/(1 - -1). Let k be ((-228)\/q)\/(2\/50). Calculate the greatest common factor of k and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 13, 41, 103, 211?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in one fifth of a millennium?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 5*b - b = 20, -3*k - 14 = -2*b for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 240583 and 651?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 116 and 59450.\nAnswer: 118900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*q + 13*q - 30*q + 1692938 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -2*m - 16. Let i be r(-6). Put -1, -3, i in decreasing order.\nAnswer: -1, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/13140 and 29\/94170.\nAnswer: 565020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -706\/63 + 80\/7. Is -1 less than or equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*u**2\/4 + 23496*u - 6713.\nAnswer: -(u - 13426)*(7*u - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 146 and (108\/(-45))\/((-5)\/250*6).\nAnswer: 1460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -8*u + 44. Suppose -u*y + 44 = -7*y. Suppose n = -5*l + 42 + 13, -2*n = 2*l - y. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) be the second derivative of 7*a + 0*a**2 + 44\/3*a**3 + 3. Let s(o) = -2*o**2. Calculate s(j(r)).\nAnswer: -15488*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 57077 - 1?\nAnswer: 57076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, 2\/13, -0.042, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4792789 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1813, -1477, -1141?\nAnswer: -805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**4 + z**3 - z**4 + 2*z**4)*(-24 + 87 - 9).\nAnswer: 108*z**4 + 54*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -78*k + 75*k - 89, 4*d + 58 = 2*k. What is the closest to -1 in d, 3\/14, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1853 a factor of 3323301763?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 8:09 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 0 + -10 + 6.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -2) + 4*4\/2. Let n(k) = -4*k - a*k + 2*k + 4*k. Let p(s) = 12*s. What is n(p(l))?\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -186 - -337. Does 9 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*n - 41*n + 2 = 0, -2*p + 5*n + 18 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the third derivative of h**4\/24 - h**3\/6 - 2*h**2. Suppose -r - 15 = -4*r. Let n(v) = 2*v - 2. Give r*o(i) - 3*n(i).\nAnswer: -i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -4 + 11\/18*6. Which is the closest to 1\/2? (a) r (b) 0 (c) -4 (d) 48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 3) in base 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -5*m + m + 8, 3*x - 4 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 31, 3, -3, -2, 17.\nAnswer: -13, -3, -2, 3, 17, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/4)\/(1\/(3\/(-2)))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6514.\nAnswer: 2, 3257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*l + 3 - 20, 0 = 3*h + 3*l - 15. Suppose 9 = 2*v + d + 2*d, -v + 4*d = h. Suppose -v*b - 2*b - 10 = 0. Let u(z) = 3*z. Give u(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 318*s + 360658 - 2603198 - 2116286. Is 16 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7688\/(-31518))\/(-2) + (-78)\/663. Which is the second biggest value? (a) 1\/4 (b) z (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/2)\/((-1)\/(-1)). Let z = 2.84 - 2.24. Which is smaller: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ec when two letters picked without replacement from {c: 6, e: 3, l: 1, a: 3, n: 2}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -642890 rounded to the nearest ten thousand?\nAnswer: -640000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 138041?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a decade in months?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -10?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-35)\/4 - -4)*-4. Suppose -28*v - l = -9*v. Which is bigger: 2\/11 or v?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*o - 73 = -19*o + 512 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/19 (b) 0.4 (c) 34 (d) 0.9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6974151 a multiple of 947?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 67608 and 186849732.\nAnswer: 3756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 108354300?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-18))\/(14 + 5681\/(-414))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 244, 14, -4, -2, 3 in decreasing order.\nAnswer: 244, 14, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98*p + 97*p = -4*x - 6, 24 = -2*x + 4*p. Solve x = 20*v + 34*v + 270 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 64*m + 168. Let z(c) = -4*c**2 + c. What is z(v(u))?\nAnswer: -16384*u**2 - 85952*u - 112728","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 + 19. Let p = -0.027 - -5.827. Let x = p - g. Which is the closest to x? (a) 0 (b) 1\/2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110111111 + -10?\nAnswer: -111000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 11*b**3\/6 + 65*b**2\/2 - 50*b. Let r be g(-6). Which is greater: r or -7\/31?\nAnswer: -7\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 - 1. Let m(c) = -10*c**2 + 0*c**3 - 3*c**3 + 13*c + 9 + 4*c**2 + a*c**3. Is 13 a factor of m(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/5 (b) -0.064 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 35\/(2 + 5) + -3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 + -34.669.\nAnswer: -34.869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2988 + 65263.7?\nAnswer: 68251.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a - 234*q + 328*q - 11 = 96*q, a = -2*q - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21039*c**2 + c - 21039*c**2 + 324*c**4)*(1 + 0 + 0 + 2 + 0 + 7 + (-1 + 1 + 2)*(6 - 3 - 5) + 2 + 0 + 0).\nAnswer: 2592*c**4 + 8*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14012.\nAnswer: 2, 31, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000018530222 to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 0 + (1 - 5) + 1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19446 - 38891\/2. Sort -2, -1\/21, m, -4, 2 in decreasing order.\nAnswer: 2, m, -1\/21, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.37 + -8.44. Which is the closest to -5? (a) 0.2 (b) 2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + -22443?\nAnswer: -22451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -695*k**2 + 2255*k.\nAnswer: -1390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/119 (b) -2\/17 (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the third derivative of p**4\/12 + 6*p**2. Let c(k) = 46*k**2. Calculate t(c(d)).\nAnswer: 92*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 - -7816.5189\nAnswer: 7816.9189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 - 1 = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 + 84. What is the hundreds digit of (516\/(-9) - 2)\/(x\/21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 108, 152, 238, 372, 560, 808, 1122?\n\"Answer: x**3 + 15*x**2 - 8*x + 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*k - 2*g + 2, 3*g + 7 = -2*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -244883\/18 + 13599. Calculate the common denominator of -43\/14 and g.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21 + -17. Suppose -2*i + 22 = y*a, i + 17 = a + 4*a. Solve 0*u = u + i for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1738*l + 1441*l - 3628 + 658 = 0 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/20? (a) 5 (b) 13 (c) -2\/13 (d) 1 (e) -57\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - c + 168 = 0. Let m = c - -75. Let z be 26\/m + (-32)\/63. What is the second biggest value in -3\/7, z, -2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**3 + 13*f**2 - 14*f + 29. Let b = -45 - -57. Let d be k(b). Sort -1, -2, d, -3 in decreasing order.\nAnswer: d, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -249547561.1262?\nAnswer: 249547559.1262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(f**3 + 0*f**3 - 2*f**3) + 6*f**3 - 4*f**3 - f**3 + (-5*f**2 + 5*f**2 - 2*f**2)*(4*f - 4*f + f) + 2*f**3 + 2*f**2 - 2*f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g = 30. Let s be 0\/1*2\/g. Let h = 6 + s. Solve -t + h = t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**3 - 2*g**3 + 5*g**3 + (2 - g + 3*g + g)*(4*g**2 - 8*g**2 - 9*g**2) in the form w*g**3 + r + q*g**2 + a*g and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7540\/(-8294) - (-1 + 6 - 335\/55).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 221*b. Let z(x) = -4*x**2. Determine z(q(j)).\nAnswer: -195364*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - -1 - ((8 - 8) + -3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 637 (b) -0.32 (c) -1\/4 (d) 0 (e) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31\/120 + 3\/40. Factor -1\/3*o**2 - a*o + 0.\nAnswer: -o*(o + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7047*i + 6608 = 7061*i. Calculate the remainder when i is divided by 226.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -1834*h + 14816. What is s(8)?\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9\/5 + 85\/425. Let y be 3 - q - (-23)\/69. Find m such that 128\/3 - y*m**5 - 88\/3*m**2 - 52\/3*m**3 + 32\/3*m**4 + 128\/3*m = 0.\nAnswer: -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -17*x**3 - 1. Let s be d(-1). Suppose 0 = 4*m - s. Let v(r) = 13*r + 2. Let o be v(2). Calculate the highest common divisor of o and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 136246063?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/69 and -28\/429939.\nAnswer: 429939","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 186.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -106*y + 2 + 41*y - 564*y. Is i(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 6*m - m - 2*m. Let w be ((-7)\/21)\/(2\/(-12)). Let k(u) = -w*u + u - u. Calculate k(b(y)).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -5*l**3 - l - 10. Let p be d(-5). Suppose 4*i - 3089 = 5*x, i - p = -4*x + 168. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873537 is divided by 92?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(2))*-5 - (sqrt(110)\/sqrt(5))\/sqrt(11)) + 1 + (sqrt(108)\/(sqrt(45)\/sqrt(5)))\/(sqrt(6) - sqrt(6)*2*2))**2.\nAnswer: 114*sqrt(2) + 1451\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 266463022 to the power of 1\/2, to the nearest integer?\nAnswer: 16324","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4.04*-21\nAnswer: 84.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -32300430 + -5?\nAnswer: -32300435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 = 5*x + c - 5*c, -2*x + 41 = -c. Let i(y) = 6*y**2 + 25. Let q be i(x). Let v(b) = -2*b - q + 2671. Let n(z) = -4*z. Determine n(v(t)).\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -785+0.07\nAnswer: -784.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 186.24102 months to centuries.\nAnswer: 0.15520085","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3054, -6107, -9160, -12213?\n\"Answer: -3053*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 28 = -5*w. Let l = -15 - w. Let u(o) = -2*o**2 + 7*o - 5. Let h(n) = 2*n**2 - 6*n + 4. Give l*h(a) - 4*u(a).\nAnswer: -2*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 25*p. Let h(f) = -8288*f**2 + 1. What is h(x(l))?\nAnswer: -5180000*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.069, 0.2, 1.003, 0.22, -7\/5 in decreasing order.\nAnswer: 1.003, 0.22, 0.2, -0.069, -7\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10122*p**2*w**4 + p**2 + 551*p - 2 wrt w?\nAnswer: -40488*p**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 391028?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - c**2. Let l be b(-1). Suppose l = -4*t - t - 5*a, -4*a = -3*t + 35. Solve 5*h - 30 = t*s, -6*h = -h - 4*s - 29 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(1\/3)*o)**(2\/17)\/(o**(-1))**(-3\/8))**14)**(2\/11) assuming o is positive.\nAnswer: o**(-287\/1122)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 652396 is divided by 85?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**3\/3 + 7*u**2 + 49*u + 25. Determine p, given that k(p) = 0.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1788 and 143\/209478.\nAnswer: 62424444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1, 4238, -2\/5, 0.5.\nAnswer: -2\/5, -0.3, 0.5, 1, 4238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 900 = -4*c. Round c to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-294)\/(-9)*176\/56*9. Let d = f + -594. Is 5 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -5 + -3 - 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3522*x - 3532*x - 30. Put -8, x, -16 in decreasing order.\nAnswer: x, -8, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mio when three letters picked without replacement from rmmiorxy?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*h - 21. Let s = 4 + 1. Find the first derivative of -c - h*c + c - c - s wrt c.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 6*m**2 - 1. Let w(l) = 41*l**2 + 3*l - 285. Determine 7*p(s) - w(s).\nAnswer: s**2 - 3*s + 278","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a89 (base 11) to base 5.\nAnswer: -20212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.913 - 0.087. What is the closest to l in 5, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3208426.\nAnswer: 2, 13, 123401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 525727 or 245?\nAnswer: 525727","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 26189\/120 + -1091\/5. Let l(n) be the third derivative of -s*n**4 + 0 + 8*n**2 + 0*n + 0*n**3. Let t(z) = 5*z**2. What is t(l(k))?\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7566426ml to litres.\nAnswer: 0.0007566426","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 2. Let l = -2.1 - -2.4. Is l at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7 - 63*r - 60*r - 56*r + 181*r. Suppose -5*d + 4*c - 26 = 0, -5*d + 0*c - c = 31. Determine v(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 2*p = -2, 4*h - 23*p - 4257 + 4134 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -24083 > -24082?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + (-3)\/(-3) + -5. Let a be 0\/(-6*j\/6). Find s such that -10\/7*s**4 + 4\/7*s**2 + 6\/7*s**3 + 0 + a*s = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1424 - 1416 - ((0 - 0) + 0 - -10)) + -65\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -4*z + 5616. What is the hundreds digit of -6 - z\/(0 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from {t: 16, w: 4}?\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 10762*v**2. Let x(h) = -42*h**2. Determine s(x(w)).\nAnswer: 18984168*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.376 + -107.624. Let g = n - -108.00001062. What is g rounded to six decimal places?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 - 165*y**3 - 1195*y**2 - 1035*y.\nAnswer: -5*y*(y + 1)*(y + 9)*(y + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 + 29*c**2 + 14*c + 66. What is u(30)?\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:24 PM and 2:02 AM?\nAnswer: 458","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17317948, 17317954, 17317960, 17317966, 17317972?\nAnswer: 17317978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 40 - 9?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 4*s. Let b be p(1). Suppose -4 = b*i - 8. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d**2 - 17*d - 5. Let f(p) = 15*p**2 + 35*p + 10. Let h(r) = 13*a(r) + 6*f(r). What is the tens digit of h(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -19, -67, -167, -337, -595, -959?\n\"Answer: -3*x**3 - 8*x**2 - 3*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vb when two letters picked without replacement from {y: 2, b: 1, e: 1, u: 1, h: 1, v: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(180) + 2*sqrt(180) + 5)**2 + -1)*3 + 0 + -5.\nAnswer: 540*sqrt(5) + 4927","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -191\/5509350 and 32\/4725.\nAnswer: 5509350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, f: 11}. Give prob of picking 3 e and 1 f.\nAnswer: 154\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 2*v**2 + 9*v - 6. Let o(p) = -2*p**3 - 7*p**2 + 27*p - 18. Let b(u) = 2*o(u) - 7*y(u). Determine g, given that b(g) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -39.2 - -39.6. What is the nearest to -1\/3 in -5\/6, v, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8151.503 millimeters in centimeters?\nAnswer: 815.1503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 25 = 14*z. Sort -4, -17, z, -2.\nAnswer: -17, z, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -120 + 155. Calculate the greatest common divisor of 385 and a.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 7*s**2 - 10*s. Let q(d) = 2*d + 10. Let k be q(0). Let o be x(k). What is o rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/(-8) + (-47)\/4. Let k be 4\/(24\/405)*-2. What is the common denominator of (0 - k\/f) + 2 and -65\/14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 216*v = 285*v + 690 for v.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 27, -6, 6, 421.\nAnswer: -7, -6, 6, 27, 421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -2\/5, -657\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-4))**(-1\/20)\/(y\/((y*y*(y*y\/((y\/y**(-2))\/y*y)*y)\/y)\/y*y))**13)**(-35))**(-40) assuming y is positive.\nAnswer: y**280","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/40 of a millisecond?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5614757.\nAnswer: 337, 16661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89475760.\nAnswer: 2, 5, 11, 17, 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10328 - 10328 - 7461*j**3.\nAnswer: -7461*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is -2461134 (base 7) in base 2?\nAnswer: -1001101011110100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*z + 149*z + 121 = 6994 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 9*t - t. Let s be (2\/(-4)*0)\/1. Let f = 0 + s. Solve -o + t*o - 12 = f for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/119 and 9\/13022?\nAnswer: 91154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/3*((-35)\/(-28) - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -24 equal to -48?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 11102\/(-61)*(-35)\/490?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(9) + sqrt(63)\/sqrt(7))*-5 - (2*sqrt(54)\/sqrt(6) + sqrt(9) + sqrt(9)))\/((sqrt(81)*5)\/(1*sqrt(27) + sqrt(27))).\nAnswer: -28*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 2, 10, -3\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 66037 less than or equal to 65967?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 348*w + 117*w - 4841777900 = 8*w. Round w to the nearest 100000.\nAnswer: 10600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + (-13)\/3)*-12. Put n, -11, -2 in decreasing order.\nAnswer: n, -2, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.214, 5, -0.5, -5, -2\/19 in increasing order.\nAnswer: -5, -0.5, -2\/19, 0.214, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = z + 2*z + 3, 0 = 5*z - 2*n + 11. Let c be ((-9)\/6)\/z*16. Calculate the highest common factor of 64 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2560 = -2*t - t, 0 = 2*g - 2*t - 1266. Let h = -422 + g. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-5))\/(2\/((-30)\/(-3))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 3*n + 18*n)*(-267 - 241 - 48).\nAnswer: -6116*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 17007 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - r = 203 - 189, 0 = 5*l + 2*r - 17 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-2\/11)\/q)\/q)**(-22)\/(q**(-1\/6))**(-44) assuming q is positive.\nAnswer: q**(122\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.024 + -4.024. Sort -0.1, -6\/7, k, 0.2 in descending order.\nAnswer: 0.2, -0.1, -6\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -2*r + 17. Let a be g(7). Does 14 divide (-42)\/27*a*-3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645905331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 250*d**2 + 62500*d - 8. What is u(-250)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l*l*l**(-2\/13))*l*l\/(l**(2\/9)\/l))**(2\/61) assuming l is positive.\nAnswer: l**(452\/7137)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ik when two letters picked without replacement from {z: 1, a: 1, t: 1, r: 1, i: 6, k: 6}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 1 + 2 + -273 + 119 + 145?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68566 - -0.035048.\nAnswer: -68565.964952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 339, 678, 1009, 1332, 1647, 1954?\nAnswer: 2253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72462*a**2 - 21*a + 58*a + 72465*a**2 - 4*a - 17*a - 16*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -54? (a) 387 (b) -5 (c) 5 (d) -16\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 6*s + 0*s + 0*s.\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 - 30*a + 3. Give d(15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 781600 is divided by 195400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 862110.5 decades to centuries.\nAnswer: 86211.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) - (-3*sqrt(468)*-6 + sqrt(468)))**2*-4.\nAnswer: -606528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -7425*p + 3710*p + 3712*p. Let d(b) = -1065*b**2 - 1. Determine d(c(i)).\nAnswer: -9585*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 11*a**2 - 1. Let d be t(1). Suppose 3*j - 22 = -j + 5*v, -2*j + 2*v + d = 0. Let l = j + -2. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -250*h**2 + 3*h + 8. Let a(f) = -15 - f - 2*f - 4*f + 2*f + 500*f**2. Let p(i) = 6*a(i) + 11*q(i). Is p(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**3 + 3860*b**2 + 30734*b - 34596.\nAnswer: 2*(b - 1)*(b + 9)*(b + 1922)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (-48 - -14 - -101)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 4. Calculate the common denominator of 1 + j\/((-60)\/393) and 25\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.8 + 9.8. Let q = 5 - c. Let g = 1.9 - 4.9. Sort -1, q, g in increasing order.\nAnswer: q, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 128.7.\nAnswer: -12.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t - 1 = g - 4, -t - 4*g + 12 = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-122*r**2 - 164*r**2 + 18*r**2)*(4 - 12*r - 2 + 16*r) - 4*r**3 - 2*r + 2*r**3 + r**3 to z*r**2 + d*r**3 + n*r + a and give d.\nAnswer: -1073","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -55, 0, -2, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0034932 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194 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: Let k(h) = -2446*h - 68479. What is k(-28)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 - ((-2)\/(-4) - -2))*2. Suppose c - 5*i - 36 = 68, 334 = j*c - 4*i. Is c a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 25\/4 of a microgram?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/492 + (-1821155)\/35014.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -190 minus -1.59517?\nAnswer: -188.40483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*a - o - 14, 2*a - 2*o - 52 + 13 + 17 = -10 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 2*c - 5*c - 62, g + 5*c = -8. Let w = g + 24. What are the prime factors of w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.318, -13, -2\/5?\nAnswer: -0.318","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005482529773 to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 7342441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 2*q - 2. Let b be s(6). Let c = -8 + 13. What is the units digit of (36\/b)\/3*c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 8:59 PM?\nAnswer: 7:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 287*o = 283*o - 5*g + 155320, -2*o + 2*g = -77624. Round o to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*k + 1152*k**2 - 6681 - 2237*k**2 + 1087*k**2 - 4*k**3 wrt k.\nAnswer: -12*k**2 + 4*k + 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from {b: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8, 24, 110, 302, 636, 1148, 1874?\n\"Answer: 6*n**3 - n**2 - 23*n + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 704784035?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -99 + 102. Sort f, 4, -2\/5, 5.\nAnswer: -2\/5, f, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4703*c - 2612*c + 3836*c.\nAnswer: 5927*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 358 and 326317?\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**2 - 6*n + 4. Let b(y) = -y**3 - 10*y**2 + 2*y + 5. Let c be b(-10). Let r be (6 - 3)*c\/9. Determine z(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 74472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssisssissssssisssbs. What is prob of sequence bsi?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4548876.\nAnswer: 2, 3, 379073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2*f**2 - 12. Let j = 9 - 3. Let y(v) = -v**2 + 12. Let w(g) = j*i(g) + 7*y(g). Differentiate w(c) with respect to c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 4*r - 7. Let a(n) = -3*n - 1. Let x(o) = o + 1. Let v(l) = -3*a(l) - 7*x(l). Let q be (-27)\/(-4) - (-2)\/8. Give q*v(t) - 4*w(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -2. Let d(h) = h**2 + h + 1. Let g be d(m). Let o(l) = 7*l. List the prime factors of o(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231313320233 (base 4) in base 16?\nAnswer: b77e2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -200? (a) 1 (b) -7 (c) -40 (d) 5 (e) -3\/2 (f) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*i + 2*r, 4*r = -4*i + 2*r + 24. Let d = 13 + i. Suppose 6*y = -2*y + 240. Calculate the highest common divisor of y and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2255580771 rounded to 3 dps?\nAnswer: -0.226","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-10) + 5\/(-25). Let r = t - -2. Does 12 divide 22\/1 - (r + -5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, r: 2, h: 3, u: 1, e: 2, a: 4}. What is prob of picking 1 e and 1 a?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 220, 3104, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114306 + 197496. Does 235 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -14. Put 2, -3, b in increasing order.\nAnswer: b, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 555*w = -100*w + 31440 for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1)**(2\/121)*d\/(d\/(d*d**(-1\/3)*d))*d**(-1\/9)\/d assuming d is positive.\nAnswer: d**(623\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15 + 11 + (-9 - -3).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from zunjuijuuiezejn?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -4*t + 11, 3*t - l = -5*l - 15. Let o be (-2*(-3)\/6)\/(-1). What is the nearest to t in -0.4, 5, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 2*n**3\/7 - 17615260*n**2\/7 + 38787190723704*n\/7 - 77574310986384\/7 = 0.\nAnswer: 2, 4403814","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 369 is divided by 96.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (0 - -1) - (-3 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/4*(6 - 48\/9)*7.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50.31794ml in litres?\nAnswer: 0.05031794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1330 divided by -38.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 0*p - 3*p - 6, i + 4 = -2*p. Suppose i = 3*v - 0*v. Let h be (3\/2)\/((-54)\/(-828)). Solve v = -3*o - 4*t - h, -23 = 5*o + 4*t + 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2340\/14625)\/(-1*1\/10)\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(192)\/(sqrt(6) + -2*sqrt(24)))**2.\nAnswer: 32\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = 8*n - 18. Let s(r) = 2*r**3 + 5*r**2 - 7*r - 8. Let w(m) = -5*m**3 - 16*m**2 + 21*m + 23. Let i(u) = -8*s(u) - 3*w(u). Is 8 a factor of i(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74 (base 12) to base 5\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4706\/565 - 8\/113. Find the common denominator of t and -34\/27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18 + 13. Let z = w - -10. What is the second smallest value in 0.3, -1, z?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 544*k**3 - 50054*k**2 + 553*k - 114. Give q(92).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 4*o - 4*o)*(2 + 2 - 1) - 27 - 202*o + 14 + 11 - 203*o to the form m + x*o and give x.\nAnswer: -402","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12577 or -138340\/11?\nAnswer: -12577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:28 AM and 3:12 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.89? (a) 3 (b) -2\/7 (c) -12\/37 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 57776.56l?\nAnswer: 57776560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -478*f + 468*f - 70 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*a**4 + 0*a - a**2 + 3*a - 5*a - 2 + 47*a**4 in the form v*a + u*a**3 + o*a**2 + b + g*a**4 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**4 + j**4 + 0*j**4)*(4*j - 3*j - 3*j) + 19073*j**3 - 9554*j**3 - 9539*j**3 - 59*j**5.\nAnswer: -55*j**5 - 20*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17 - -19. Suppose 4*d = 0, 3 + s = m + 3*d. Let y = 83\/8 - 41\/4. What is the second biggest value in m, y, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -186.48 to 0 dps.\nAnswer: -186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1831595136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-19)\/(-15) - 4\/6. Suppose 4*c = -5*k - 160, 5*c = 12*k - 15*k - 96. Let v = k - -31. What is the closest to 1 in v, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -903200596*p**3*s**2 - 1272963978*p**3*s wrt s?\nAnswer: -1806401192*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -9096, -0.38, 2\/5 in decreasing order.\nAnswer: 2\/5, -0.38, -9096","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - (2\/2 - -1). Let a = 16 + h. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.052+32041\nAnswer: 32040.948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34149462\/29659 + -21876\/19. What is the common denominator of q and -107\/42?\nAnswer: 9366","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x**(-21))**24 assuming x is positive.\nAnswer: x**(-456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5391474368.713041143 - 5391474625.17. Let b = 338.45695887 + i. Let q = b + -82. What is q rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 171074*v**2 - 79472*v?\nAnswer: 342148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 4080.5 to the nearest 100.\nAnswer: 4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**3 + 5*u**2 - 2*u - 2. Suppose 0 = -2*z + 7*z - 20. Let w be l(z). Solve -m + w*m + 24 = 2*c, 5*c = -5*m - 10 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -x - x**4 + 2 + 54*x**2 - 33*x**2 - 29*x**2 + 0*x**4 to s*x**2 + o*x**4 + k*x + n*x**3 + r and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yayr when four letters picked without replacement from aryryynyynryaay.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 170 + -149. Put 4, 0, h, -3 in descending order.\nAnswer: h, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -9) + 28 + (-66 - -23)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5*h**3 + 6*h**2 - h + 3. Let p(j) = -6*j**3 + 7*j**2 - 2*j + 3. Let l(f) = 5*k(f) - 4*p(f). Suppose 1 - 3 = m. What is the units digit of l(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/15000 and 187\/13500.\nAnswer: 135000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/34)\/(144*79\/128928)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/2*(4 + -16 + 4). Factor b*y**2 + 3*y**5 + 6*y - 4*y**3 + y**4 + 2 + 8*y**5 - 13*y**5 - 7*y**4.\nAnswer: -2*(y - 1)*(y + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, h: 8}. Give prob of sequence hehe.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -60\/1434661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -17*t**3 - 5*t**2 - 5*t + 6. Let l(g) = -g**3 - g**2 - g + 1. Let h(n) = 5*l(n) - v(n). Let b be h(1). Solve 5*q = z + 4, -4*z = 2*q + b + 5 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -6*h. Let b(f) = -3*f**2. Let n(z) = 8*z**2. Let m(j) = 11*b(j) + 4*n(j). Calculate g(m(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of 0*f**3 + 0*f**2 - 4 - 49\/12*f**4 + 0*f**5 + 0*f**6 - 1\/6*f**7 - 2*f. Find the third derivative of w(p) wrt p.\nAnswer: -420*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 407.\nAnswer: 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 18080729?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1851.8 - -1972.8. Put t, -3, 0.2 in ascending order.\nAnswer: -3, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 36 (b) 1 (c) -21 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m = 15 + 3. What is the third derivative of -40*r**5 - 8*r**3 - 37*r**m + 3*r**3 + 54*r**3 - 2*r**2 + 42*r**5 wrt r?\nAnswer: 120*r**2 + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.13819 days to milliseconds.\nAnswer: 8479139616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61143.\nAnswer: 3, 89, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 21 - 18. What is the second derivative of 0*b**5 - q*b + 27*b**5 - 4*b**5 wrt b?\nAnswer: 460*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5391812272?\nAnswer: 2, 7, 11, 37, 10753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 137*x**2 - 137*x**2 - 29 - 5*x**3 + 16 + 13.\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 12:54 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476465?\nAnswer: 5, 11, 8663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32.544 + -32.944. Which is the smallest value? (a) x (b) 0 (c) 3 (d) -1012\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 245, 492, 739, 986, 1233, 1480?\nAnswer: 1727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**4 - 2*a**3 + 1. Let o(q) = -16*q**4 - 74*q**3 - 44*q**2 + 32*q - 6. Let y = -696 - -708. Let x(b) = y*i(b) + 2*o(b). Factor x(z).\nAnswer: -4*z*(z + 1)*(z + 8)*(5*z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = -f - 253 + 245, -f = n + n for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 15*v**2 - 2*v - 467. What is l(17)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/1464 and -7\/64.\nAnswer: 11712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 5.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16325139569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1324792 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 466939 divided by 42449?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 12) in base 13?\nAnswer: -a2c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33)\/sqrt(99) + sqrt(3) + (4*sqrt(12)\/sqrt(4))**2)*-4 - ((sqrt(432) + -2 + sqrt(432)*2 + sqrt(432))**2 - ((0 + sqrt(432))*-6)**2).\nAnswer: 560*sqrt(3)\/3 + 8444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -6*m**3 + 0*m**3 - 1 + 4*m**3 - 44*m**2 + 45*m**2 + m**3. Suppose -i - 2 = 1. Is u(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 - -15. Suppose -v + y = q, 3*v = -0*q + 2*q. Suppose -5*p - 46 = -q*x, 42 = 3*x - 2*p - p. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lgl when three letters picked without replacement from {s: 6, l: 2, x: 1, g: 2}?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 56120.\nAnswer: 56120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, s: 3, z: 1, c: 4}. Give prob of picking 2 z and 1 s.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -14267.8 to the nearest ten.\nAnswer: -14270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 26176, 59164, 92152, 125140?\n\"Answer: 32988*r - 6812","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 77744, 77737, 77730, 77723?\n\"Answer: -7*n + 77751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-10)*(-243)\/(4374\/2310)\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 81122470 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 220 = -0*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -19*n**8\/336 + 5*n**4\/24 - n**2 - 7. Find the second derivative of r(f) wrt f.\nAnswer: -380*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 545 divided by -8.\nAnswer: -545\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -36*m - 6. Let q be k(-1). Which is smaller: 28 or q?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/2)\/(-9*(-75)\/(-270))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2430 + -3445. Let m = -1131.9 - b. Round m to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 17. Let d(c) be the first derivative of 2*c**3\/3 - 27*c**2\/2 + 15*c - 99. Let l be d(x). Solve 2*q - l = -4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/930 and ((-15249)\/(-136))\/23*(-2)\/(-9).\nAnswer: 1860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -219 + 236. Suppose 0 = t*m - 6*m - 154. Calculate the highest common factor of m and 49.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 150, 139, 120, 93?\n\"Answer: -4*r**2 + r + 153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 18*v + 7*v + 369 - 239 - 203. What is the least common multiple of o(23) and 10?\nAnswer: 2510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -499, 2, -1, -609, 4, -3 in increasing order.\nAnswer: -609, -499, -3, -1, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0*n**5 + 0 + 0*n**4 + 1\/30*n**6 - 17*n**2 + 0*n + 1\/6*n**3. What is the first derivative of j(o) wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - h = -65, 2*f + f + 3*h = 60. Solve -2*u - u - f = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {o: 5, p: 14}.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-435)\/(-228) + 8 + -10. Let j = 2125\/2508 - x. Calculate the common denominator of j and 125\/54.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, 0, 7, 8, -3, -32?\n\"Answer: -l**3 + 6*l**2 - 4*l - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/17, 1\/2, 0.35, -2\/11?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -439*u**3 + 216*u**3 - 5*u + 35 + 221*u**3 as s*u + r*u**2 + b + m*u**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556750 is divided by 26510.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 41*z**2. Let x(j) = -21*j**2. Calculate -3*h(k) - 5*x(k).\nAnswer: -18*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 - (73 - 119 - 86)?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*b = 757 + 1754. Suppose -v + 12 = 2*n - 35, 4*v = -5*n + 113. What is the remainder when b is divided by n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -3*m**4\/8 + 3*m**3 - 9*m**2 + 12*m + 8. Let q(u) = 0. What is u?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*i - i. Suppose i = 2*u + 3*u. Suppose u*m - 68 = 2*m. What is m rounded to the nearest ten?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 9 - 3*(-9 - 104)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 164670?\nAnswer: 494010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10311 + 23?\nAnswer: 11000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.052 - 0.051929. Round f to 5 dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6547164 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.396 - -0.283. Let i = h + 34.803. What is i rounded to zero decimal places?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2589 (base 13) to base 7.\nAnswer: 21414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, h: 2, r: 1, u: 2, v: 3, i: 1}. Give prob of sequence ru.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -331*s + 12*s - 71*s - 507*s to o*s + b and give o.\nAnswer: -897","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14 (base 9) to base 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 536, -2, -4, 5.\nAnswer: -4, -2, -1, 5, 536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a = -10*a + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 2*x + 93 = 0, -9 + 68 = -3*k + 2*x. Let a = k - -48. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-18)*3*6. Suppose -5*m = -p*m. Solve -4*z + z + 15 = m for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 7.2. Let z = 0.2 + h. Let g = -3.944 - z. Round g to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1392 or 1538?\nAnswer: 1538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48*y + 99*y - 41*y - 70)*(y + 0*y**2 - 2*y - 3*y**2).\nAnswer: -30*y**3 + 200*y**2 + 70*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (0 + -6 + 0) - (-5 + 3)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rii when three letters picked without replacement from uuiiuriir.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 303452638?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = y + 2*a + 3, 2*y = 5*a + 38. Calculate the highest common factor of 9 and y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + x = -0*x. Let y(k) be the third derivative of -k**2 + 0*k - 1\/30*k**5 + 0*k**3 + 0*k**4 + x. Let u(n) = n. Determine y(u(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a millennium in months?\nAnswer: 81000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 17 - 19. Suppose 0 = p*v - 4*l + 445 - 1259, 0 = -3*v + 4*l + 1231. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 12 - 13 = -2*q, -3*l - 5*q - 32 = 0. Suppose 730 + 502 = -2*p. What is the units digit of (-2)\/l - p\/63?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4742)\/(-68759))\/(2\/3248).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in five quarters of a gram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 36 + 32 = -l, -5*v - 2*l + 312 = 0. Let s = v + -40. Suppose p + p = s. 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 517761613 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*c - 4 = -k, 22 = 5*k - 3*c. Suppose -l - 60 = -4*l. What is the greatest common divisor of l and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17514 - 380*q + 17514)*(1 - 1 + 2)*(18*q**3 - 85 + 85) to the form w*q**2 + v + x*q**4 + g*q + y*q**3 and give x.\nAnswer: -13680","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 639027, -8\/9, -3 in ascending order.\nAnswer: -3, -8\/9, 639027","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.062021 and -35.11?\nAnswer: -2.17755731","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16741\/148 + 57\/148. Is 115 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*r + 4*i, 13 = 4*r - 0*r - 5*i. Calculate the lowest common multiple of r and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-30)*(5 + -2). Let a = 5.54 + -17.54. Let j = -150 - -150.3. What is the closest to g in j, 1\/5, a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52 and 69784?\nAnswer: 69784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 251*120.46\nAnswer: 30235.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 - 25*j - 51. What are the prime factors of q(16)?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 19 = 3*r - 26, -6*w + 31 = -r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 3*n**2 + 2*n - 8. Give j(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - 3. Let j = f + 11. Let s = j - 5. What is the third biggest value in s, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 10458?\nAnswer: -10458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -45611654.6 rounded to the nearest one hundred thousand?\nAnswer: -45600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-24) - (-6)\/(-48). Suppose 2*i = 2*b - 10 + 4, 0 = 5*b - 2*i - 21. Suppose -b*z = 2*r - 695, -2*r - 3*r = k. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 104 - 46. Suppose 2*o - d = -2. Calculate the smallest common multiple of 32 and o.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(25)\/(2*sqrt(5)).\nAnswer: -4 + sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -212535 (base 7) in base 2?\nAnswer: -1001000001101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5423*k**2 - 336 + 7292*k**2 + 164 + 173.\nAnswer: 12715*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 9*t**3 + 11*t**2 - 13*t + 9. Let x(z) = -28*z - 713. Let v be x(-25). Let w(m) = 4*m**3 + 5*m**2 - 6*m + 5. What is v*w(o) + 6*j(o)?\nAnswer: 2*o**3 + o**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 6:10 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00152672 rounded to 6 dps?\nAnswer: 0.001527","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 97*m**2 - 11*m + 27. Let x(y) = -19*y**2 + 2*y - 5. Let h(a) = 4*i(a) + 22*x(a). Let o(z) = 2*z. What is h(o(r))?\nAnswer: -120*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/11 + 228\/(-44). Let j = i + 20. Calculate the remainder when j is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -39406 by 19703.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 113243 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/2582?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 306\/24 - (1 + 1 + 9).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-998)\/16 + 2)*(-7597)\/213. Let z = 2166 - b. Calculate the common denominator of z and 47\/28.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112645831 to the power of 1\/4, to the nearest integer?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9892 - -89057\/9. Let s = -171619\/3 - -56575. Let x = s + 637. Calculate the common denominator of l and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 361, 708, 1037, 1348, 1641?\n\"Answer: -9*g**2 + 374*g - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j**3 - 1637*j**2 - 31060*j - 98368 = 0.\nAnswer: -1537\/5, -16, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122387?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 44286 - -21712. Suppose -2*i = -3*x + p, -2*i - 3*i = -5. Round x to the nearest 1000.\nAnswer: 22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -9 + 137\/(-1)*28\/(-28). Sort -3, 13, k.\nAnswer: -3, 13, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g - 14. Let d = 34 + -51. Let i be s(d). Suppose -i*n = -8*n + 240. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 4*m = -2 - 2, -y - 4*m = -36. Let v = -78 + 79. What is the tens digit of y + (-2 - 1) + v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 5*p - 17, -3*d + 5*p - 50 = -8*d. What is the remainder when d is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 389021587 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*s - 9. Suppose 0 = 3*l - 2*b - 5 - 6, 4*l + s*b = 28. Solve 15 = -l*p + 3*r, -p + 0*p + 15 = 3*r for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -2*j**3 + 7*j**2 - 2*j. Let d be c(3). Suppose -3*s - 78 - 813 = -3*k, d*k - 2*s - 886 = 0. List the prime factors of k.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 59 = 2*g - 295, -c - 5*g = -114. Calculate the greatest common factor of 5593 and c.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04054655 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 75788 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3545 (base 6) in base 13?\nAnswer: -50c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((27\/24)\/(-9))\/(-1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxxxoooxoxxox. Give prob of picking 4 o.\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the third derivative of 0 - 4\/3*p**3 + 0*p + 1\/180*p**6 + 1\/8*p**4 + 9*p**2 + 1\/30*p**5. Let w(v) be the first derivative of m(v). Determine w(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 8 = -17. Let m(y) = -k*y + 8 - 7*y**2 + 3*y**3 - 16*y**3 + 12*y**3. Let r be m(-6). Solve -r*z = 2*z + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*z - 7 = -4*o + 65, 24 = 3*z + 5*o for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3965 + 4024. Suppose -4 = -2*k - 10. Which is smaller: v or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -9713 at least as big as -9678?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 81*d**3 - 249*d**2 + 7*d + 13. Determine t(3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1358 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -1706*z**2 - 34*z**4 - 1698*z**2 - 16*z**3 + z - 1705*z**2 + 5109*z**2 + 2 in the form u*z + t*z**4 + m*z**3 + r*z**2 + s and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 61, 73, 85, 97?\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.01, 1, 97, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8938598873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 5*r = -35 + 26, 3*m - 9 = -4*r. What is the second smallest value in m, 3\/7, -0.1, -1\/6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 187\/18036540 and -107\/6096.\nAnswer: 72146160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.947 - 0.053. Let n = 1 + 1. Put o, 1, n in decreasing order.\nAnswer: n, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -458263?\nAnswer: 458260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*i = 6*i - 12408. Let o = -36 + 52. Calculate the lowest common multiple of i and o.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) -0.1 (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 5484 = 5*z, 2*m + 2*z = -2*m + 5484. Is 19 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-4 + 9 - 27*v + 23*v)*(20 - 3 - 4) - v - 3*v + 3*v)*(v - v - v**2)*(3*v - v + 0*v) to w*v**4 + j*v**3 + f*v**2 + t + x*v and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w. Suppose 0 = o - b + 4, 3*b = o + o + 11. Let l be x(o). Solve -l*f**2 + f**3 + 2*f**2 - 4*f + f**4 + 3*f = 0 for f.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 22 = -2*g, 0 = -g - g + 3*x - 6. Suppose g*s - 1792 = 371. List the prime factors of s.\nAnswer: 7, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12059441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.52 + -0.32. Let n = 0.4 + -0.5. What is the second biggest value in x, -1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, x: 1, u: 1, n: 1, i: 2, o: 1}. What is prob of sequence uli?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/15 and -127\/150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 4 + (616 - 629).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(260)\/(sqrt(10) + sqrt(10) + sqrt(40)) + (sqrt(26) + sqrt(1664)*2 - sqrt(26)))\/(sqrt(22)\/sqrt(176) - sqrt(14)\/(sqrt(14)\/sqrt(2))).\nAnswer: -65*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 13\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**5\/20 - k**4\/12 - 31*k**3\/6 + 4*k**2 + 1056*k. Determine p(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6709386 to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 2*r - 7\/12*r**4 + 0 + r**2 + 5\/6*r**3. Factor t(m).\nAnswer: -(m - 1)*(7*m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10011111010111101101 (base 2) in base 5?\nAnswer: -131342111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1968 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 6226710 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50388.\nAnswer: 2, 3, 13, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 + 6*k**2 + 3*k - 1. What is s(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 14835, 29432, 44061, 58722, 73415?\n\"Answer: 16*n**2 + 14549*n + 270","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 33416 divided by 8354\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -31183.3 and 328.23.\nAnswer: -30855.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -77, -70, -61, -50?\n\"Answer: c**2 + 4*c - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54*k = -5*i + 55*k - 29, 4*i + 27 = -3*k. Let y = 2 + 0. Put -1, i, y, -4 in ascending order.\nAnswer: i, -4, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -2.4.\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 587311 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from 0.333955447974.\nAnswer: 5.333955447974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1\/119 (b) -9 (c) 1 (d) 1.28 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -18. Suppose k*g - 70 = -3*g. Calculate the least common multiple of g and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 8 - 2, -3*p - m = -9. Let k = 4 - 5. Put k, p, 1 in descending order.\nAnswer: p, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.5 - -2.6. Which is the nearest to 0? (a) -0.4 (b) h (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1764, -0.01, -22, 4\/3, 1, -2\/5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 2 (c) 4 (d) -224100\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79855635 to the power of 1\/4, to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*(4\/(-3))\/(-4)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7121616 + -41?\nAnswer: -7121657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1405852 is divided by 61123?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m - 2. Let w(f) = -1. Let b(a) = u(a) - 2*w(a). What is b(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322098.8 rounded to the nearest 100000?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -2*t - 16, 2*t + 574 = 5*t - 1241*g - 1890 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -136? (a) 1655 (b) -1 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l**2. Let m(r) = -61*r - 2. Calculate m(f(d)).\nAnswer: 671*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -87, -165, -233, -285, -315, -317, -285, -213?\n\"Answer: u**3 - u**2 - 82*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.93 + 58.93. Let k = 56.15 - s. Let a = 2 + k. Round a to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -76?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 + -7005685?\nAnswer: -7005684.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -346*m + 347*m - x + 7, -5*x + 17 = m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.1 (b) 5 (c) -4\/5 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2177 is divided by 33.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16294.9 - -2993178431?\nAnswer: 2993194725.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 2749. What is l(-10)?\nAnswer: -2739","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -744, -2467, -5324, -9315, -14440, -20699?\nAnswer: -28092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -25*c**2. Let v(j) = -28*j**2 + 59*j**2 - 28*j**2. Calculate v(g(u)).\nAnswer: 1875*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -558253272 divided by 3.\nAnswer: -186084424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -29572 - 3?\nAnswer: -29575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 25. Let x = 14 + z. Calculate the highest common divisor of x and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 18*z. Let d(t) = -2*t - 22244. Give a(d(g)).\nAnswer: -36*g - 400392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 364?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a + 15 + 31 - 80 + 34.\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c + 644 = 74*c + 54*c - 4150 for c.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.212 - 0.712. Let p = 1.4 - 1. Which is the nearest to 0.2? (a) 6\/11 (b) p (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence taaa when four letters picked without replacement from ttttttttttta?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 7aa (base 16) in base 10?\nAnswer: 1962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14*(-18)\/(-63) + 22\/(-6)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 1 + 5. Is (290\/4)\/(u\/(-2)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1700899199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 655900247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -292 + 352. Suppose -2*z - 2*z + 51 = 5*c, 4*z - 4*c = a. Solve -3*m = 4*t - 0*m - 4, -z = 5*t - m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, 38, -5 in descending order.\nAnswer: 38, 29, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 + 11*o**2 + 11*o + 14. Let j be d(12). Suppose 2*r = -j*r + 68. Is r a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*s = 3*s + 5. Put s, -3, 5 in increasing order.\nAnswer: -3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 5*i = 44, 2*i = p - 6*p + 88. Suppose -4*b - 3*k = 2*k - 23, 2*b - 4*k = 18. Let t = 38 + b. Calculate the remainder when t is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -39266*o - 706791. Calculate b(-18).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = 5*u - 12, 9 = a - 2*u for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/12 - (945\/20)\/3. Let y be w\/(-4 - -2) - (-24)\/(-8). Solve 4*q = y*q + 1 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21203 = 2686*w - 62063 for w.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 143 and 15?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 4847 divide 385977412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35885556 - 112178246497\/3126. Let o = -2\/1563 - k. Is o greater than 167?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 8 = 2*r, 0*i = -5*r + 5*i - 15. Sort r, -3, 1 in increasing order.\nAnswer: -3, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 240 and 660.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/4944 and 31\/10.\nAnswer: 24720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 + 0)*(-8 - -22). Suppose z + u = 5. Is 3\/(z\/12)*-5 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 24 = o + 2*r, 5*o = 4*r + 36. Let b(x) = -2*x**3 + 6*x**2 + 7*x - 16. Let w be b(3). Sort o, -10, w, 1.\nAnswer: -10, 1, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r - 1219 = 56. Let y = 240 - r. Is y smaller than 290?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 6*m**2 - 7*m + 10. Let n be h(-7). Let w be 10\/45 - (-3823)\/n. Let s = w + -3548\/9. Calculate the common denominator of s and 13\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17187?\nAnswer: 3, 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101080, -3, 3 in decreasing order.\nAnswer: 101080, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14334132 + 44?\nAnswer: -14334033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -232, -471, -718, -979, -1260?\nAnswer: -1567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(((m*m**19*m)\/m)\/m)*m**(-23) assuming m is positive.\nAnswer: m**(-41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 + 4*u + 3. Let f(b) = -b**2 - 5*b + 8. Let m be f(-7). What is the units digit of y(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5371?\nAnswer: 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -7*r - 63. Let m be n(-9). Which is the nearest to -1\/11? (a) m (b) 0.2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -303 = 4*b + 233. Let v = b + 262. Factor -13*q**2 + 10*q**2 + q**2 - v + 32*q.\nAnswer: -2*(q - 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 695, 1039, 1379, 1715, 2047, 2375?\nAnswer: 2699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 109 - 110 = 0. Solve -h = -7*t - 1 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13702967 less than or equal to 13702969?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 75 = o - y, -10 = -2*y. Let m(t) = -9*t + 7. Let j be m(-5). Let i be j\/(-105) + 8\/o. Which is the closest to 1? (a) 0 (b) i (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/5 of a meter?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-4*-2*sqrt(143) + sqrt(143) + sqrt(143))\/(1*sqrt(11)*-2) + 2))**2.\nAnswer: -80*sqrt(13) + 1316","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 51, 7, 3, -1715, 5 in increasing order.\nAnswer: -1715, 0, 3, 5, 7, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -57945 > -57946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of -16 + 5\/2*u**2 - 4*u. Give b(9).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 5*y**3 - 3*y**2 - y - 1. Let n(x) = -x**2 - x - 1. Determine h(u) - n(u).\nAnswer: 5*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 17*c**2 - 23*c + 64. Let z be i(3). Is 151 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2563*k**2 + 44*k - 149. Is 17 a factor of m(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197815068 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 19.81 = -3\/3326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1071\/9639)\/((6\/(-15))\/(78\/15 + -4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/6 - 380\/(-30). Suppose -t*p + 66 = -11*p. List the prime factors of p.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35474 (base 9) to base 3.\nAnswer: 1012112111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3950139110?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 565668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -7*f + 1. Let q be g(-1). Let k be (-4)\/3 + q\/(-12). Calculate the common denominator of -25 and 41\/8 - (1 - k).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 380\/665*(30 + -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + 2*s - 3326 = -3322, -5*s - 29 = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4332321, 8664534, 12996747?\nAnswer: 17328960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -200*c + 90*c + 111*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1423 - 10?\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15 + 12*m**3 - 78*m**2 + 41 - 38*m**4 - 26 wrt m?\nAnswer: -912*m + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the third derivative of u**6\/360 + u**5\/30 + u**4\/24 - u**2. Let g(z) be the second derivative of f(z). List the prime factors of g(4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 1282.\nAnswer: 3846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*a**4*f*p - 6*a**4*p - 4*a**3 - 8*a**2*p - 122*a*f*p wrt a?\nAnswer: -336*a*f*p - 144*a*p - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -638132*h**3 - 17329*h**2 + 185*h + 1 wrt h?\nAnswer: -3828792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 23431281 divided by -2\nAnswer: -23431281\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62 and 11802?\nAnswer: 365862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/3030 and -16\/21715.\nAnswer: 130290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/93, -4, 0.03, -3\/23, -2\/5 in descending order.\nAnswer: 0.03, -2\/93, -3\/23, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.5024724 years?\nAnswer: 0.05024724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157134461 is divided by 31426886?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39456 by -137.\nAnswer: -288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 435628?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23396.127 rounded to the nearest one hundred?\nAnswer: -23400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 - 21*w**2 + w + 7 + 5*w**2 - 16*w**3 + 3*w**2 + 12*w**2 to x*w**2 + p + u*w**3 + v*w and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 28*b - 1. Let m(r) = 5*r**2. Give j(m(t)).\nAnswer: 140*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1507.5593 plus -1.1?\nAnswer: -1508.6593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -45\/14405237 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/47070 and -47\/330?\nAnswer: 517770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2699, 4373, 6047, 7721?\nAnswer: 9395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * -7.\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.07 + -11.47. Let z = -8.5 - -0.4. Let n = z + o. Round n to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3*q - 1. Let w be c(-6). Let s = 13 + w. Let l(m) = -m**3 - 7*m**2 - 8*m - 9. Let t be l(s). Let x(g) = -g**2 + 3*g - 1. Determine x(t).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - v = 7, d + v + 9 = -0*v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.0132 * -53\nAnswer: 0.6996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.184 - -3.384. Sort 1\/3, 0.3, n in descending order.\nAnswer: n, 1\/3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-35))\/((224\/(-40))\/14)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3563003892 to the power of 1\/2, to the nearest integer?\nAnswer: 59691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = -3. Let j(b) = -3*b**2 - 2*b + b**v + 0*b**2 - 1. Give j(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.063 and -0.753.\nAnswer: -0.047439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -18. Let l be (27\/(-4) + 1)*w. Solve 3*n - 2*q + 22 = -n, -5*n + q = l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = 8*y - 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + 3027?\nAnswer: 3028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + -10)*(-2 - -3). Is (-9)\/q*20\/5 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the third derivative of 2*i**3 - 3\/8*i**4 - 7\/60*i**5 + 0*i + 1\/120*i**6 + 2*i**2 + 0. Give a(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(68\/110 - 8\/(-44))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 295 + 204. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40049484?\nAnswer: 2, 3, 17, 137, 1433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - (-7 + 3) - (-354)\/(-71). Let s = h + -147\/355. Which is the second smallest value? (a) 1\/4 (b) -0.6 (c) 0.4 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -57 and 4135.521.\nAnswer: 4078.521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101101111111 - -11?\nAnswer: -101101111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36300 and 36?\nAnswer: 108900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 5*h + 42. Let n be b(-18). Let r be (n\/(-60))\/(1\/5). Suppose -2*a = -6 + 2. Solve -2*f + r*y - 6 = y, f + a*y + 3 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u + 21. Let y(b) = -2*b + 11. Let k(l) = 6*a(l) - 11*y(l). Let s be k(-4). Let r = -5 - s. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 2, -12, -1895, -2 in decreasing order.\nAnswer: 2, -2, -6, -12, -1895","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -14*z - 19. Does 17 divide d(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -35680 (b) -0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9, -44, -103, -186?\n\"Answer: -12*s**2 + s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3. Let p be t(-1). Let i(g) = g + 1. Let j(z) = z**2 - 4*z + 29. Let o(a) = p*j(a) + 3*i(a). Is 17 a factor of o(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 775522 is divided by 775522?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 34680585485167?\nAnswer: 34680585485165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1206 = -3*x, 9*d - 14*d + 2030 = x. What is the greatest common factor of 99 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the first derivative of d**5\/120 + d**4\/24 - d**3\/3 - 1. Let v(n) be the third derivative of f(n). What is v(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2140234213 (base 5) in base 11?\nAnswer: -2674685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*a**4 + 296*a**3 - 142*a**2 + 1321*a wrt a?\nAnswer: 456*a + 1776","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -4 + sqrt(304) + -2 - -2*(3*2*sqrt(304) - sqrt(304)))**2*-1.\nAnswer: -36905 + 968*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5273*w - 5940*w + 48691 for w.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -133 + 147. Let k be 10\/28*6*f\/8. Factor 0*r - 3\/4*r**5 - 27\/4*r**2 + 0 - 9\/4*r**3 + k*r**4.\nAnswer: -3*r**2*(r - 3)**2*(r + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.01, 0, 65\/2, -0.1 in increasing order.\nAnswer: -0.1, 0, 0.01, 65\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 92515, 92514, 92513, 92512, 92511, 92510?\n\"Answer: -v + 92516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 3*y. Let f(j) = -6*j + 5. Let l(w) = 3*w - 3. Let o(z) = 3*f(z) + 5*l(z). Calculate g(o(k)).\nAnswer: -9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 10\/70 + 32\/(-28). Put -0.5, -0.32, m, 1 in increasing order.\nAnswer: m, -0.5, -0.32, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 + -8.5. What is the third biggest value in 5, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0 (b) -7\/11 (c) -397720 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + ((-780)\/(-408)*(-138)\/(-230))\/((-1)\/12)?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -31. Suppose -9*f + n*f + 2195 = 0. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1830*n + 100549. Determine y(55).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 301002 (base 4) to base 14\nAnswer: 1202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 3497470572?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 3*a**4\/8 - a**3\/3 + 30*a**2. Let d(x) = -3*x**2 + 2*x - 2. Let f be d(2). Let w be r(f). Round w to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 3*x = 13, -3*f = -37*x + 33*x - 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l + 7. Let r(j) = -j**3 - 2*j**2 + j - 6. Let y be r(0). Calculate p(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 71.81239 micrograms?\nAnswer: 0.07181239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 121.\nAnswer: 1089","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 256?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = a - 21 - 11 - 11, 98*j - 170 - 373 = -a for a.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68 + -64. Suppose 3*l + l - 2*v = 0, -14 = l - u*v. Let f(m) be the third derivative of m**6\/40 - m**5\/30 - m**4\/24 - m**2. What is f(l)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9.9994 - -10. What is n rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -2\/13 (c) -0.4 (d) 6\/107 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/10*((-5)\/14)\/(292\/511). Let v be (-9)\/(-4)*(-2)\/(-12). Determine m so that -r*m + v*m**2 + 0 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 360 divide 14704560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0282 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 12 - 7. Let w(s) = -6325*s**3 + 4*s**2 - s. Let u be w(q). What is u rounded to the nearest 100?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*p**3 - 42*p**2 - 78*p**2 - p - 53*p**2 - 5*p**3 to the form o*p**2 + a*p**3 + h + m*p and give o.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 3. Let o(l) = -4*l**2 - 3*l + 4. Let c(u) = 12*u**2 + 8*u - 11. Let a(h) = q*c(h) + 11*o(h). What is a(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16870141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**3\/13 - 890*l**2\/13 + 1786*l\/13 - 894\/13 = 0. What is l?\nAnswer: -447, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**5 + 2*g**5 + 4*g**5 - 4 + 4 + 2*g**5 + (1 - 4 + 1)*(-g**5 - g**5 - g**5) + 0*g + g**5 + 0*g.\nAnswer: 11*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of q**4\/24 - 5*q**2. Let c be g(-1). What is the common denominator of ((-2)\/c)\/((-24)\/50) and 3\/14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/1548 and 14\/135.\nAnswer: 23220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) be the second derivative of -5*k**4\/3 - 5*k**3 + 30*k. Find the second derivative of c(i) wrt i.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 - 17*n + 4. Let c be f(4). Determine k so that -8\/7*k**3 + c + 10\/7*k**2 + 2\/7*k**4 - 4\/7*k = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u = 28 + 117 - 41 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.389737 weeks to microseconds.\nAnswer: 5074112937600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31 and 1798.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-76 - (-67 + 34))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1004147968?\nAnswer: 2, 29, 135257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 1, e: 1, k: 2}. What is prob of sequence wo?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 72469996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/96 and 3 - (6270\/800 - 6).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + (-2 + 2 - -2). Suppose -x*i = 3*i - 42. Let c = -2 + i. Solve 4*j - 23 = 4*u + c, -4*j - 3*u = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**(-43)\/(v**(-2\/5))**(-15))**(-9\/5) assuming v is positive.\nAnswer: v**(-333\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 3*s - 16 = 32, -3*n - 2*s = -50. Let w = 224 - n. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2493 + -62322\/25. Which is smaller: d or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*l + 5321 = -258*l - 169*l for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -67*r**3 + 5*r**2 + 21*r - 43. Is x(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*u - 492 - 1035 + 311 = 0 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 7*x - 84. Find the common denominator of x\/21 - (-98)\/18 and 2\/5.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**3\/6 + 15*p**2\/2 - 45*p. Let b(t) = 46*t + 452. Let x be b(-10). Determine y(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwmmmmmmhhmwwh. Give prob of picking 3 h and 1 w.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2019*b = -1949*b + 1400 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(17))**2*-5 - sqrt(102)\/sqrt(6)*3) + -1.\nAnswer: -91 - 13*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 6651*d - 1. Let m(x) = -89*x + 13. Calculate s(m(f)).\nAnswer: -591939*f + 86462","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1350*l + 918 wrt l?\nAnswer: -1350","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 2*m - 18. Suppose h + 15 = -5*s, s + 3*h + 27 = -2*h. Let a = s + m. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2100 - 10?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.382733913 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*((-4 - -12)*-1)\/(-3 + 1). Let g(z) = -3*z - 18. Let d(y) = -y. What is v*d(q) + g(q)?\nAnswer: q - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**3 - 7*d**2 - 5*d + 55. Calculate c(5).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000575454669 rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 3. Let u(o) = -118*o + 11 - o**2 + 2 + 115*o - 3. Determine 14*s(v) - 4*u(v).\nAnswer: 4*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of n**7\/210 - 187*n**6\/120 - 2773*n**4\/24 + 2077*n**2. Find the second derivative of z(s) wrt s.\nAnswer: 12*s**2 - 1122*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 15\/13 (b) 0.089 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5104817 and -8874018.\nAnswer: -3769201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*t = 57 - 15, -3*p + 21 = 3*t. Suppose -5*w = -p - 0. What is the units digit of -3 + w + 0 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 720 and 8735616?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -220 + 140. Calculate the least common multiple of 6 and 96\/g*(-5)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a milligram in micrograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10048, 20101, 30154?\nAnswer: 40207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96326 equal to 2408174\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 206 = 5*t, -10*t + 5*t = -4*z + 188. Does 21 divide -465*(216\/t + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43791?\nAnswer: 3, 11, 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10738067.83 rounded to the nearest one thousand?\nAnswer: -10738000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13, -4636, -0.6, 1, 3\/11?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29758 + 245314 = 213*n. What is the greatest common factor of 1357 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1700) - (sqrt(1700)*2 + -1)) + (sqrt(1700) - (4 + -1*sqrt(1700)))**2)*-4 + -2)*-5.\nAnswer: -3400*sqrt(17) + 136350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 152 - 3*(-4)\/12. Is c + (-4 - (3 + -3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -7*z**2 + z - 4. Let w(j) = 7*j**2 + 2*j + 10. Let u(r) = -8*r**2 - r - 9. Let b(i) = -4*u(i) - 3*w(i). Calculate -5*b(p) - 8*t(p).\nAnswer: p**2 + 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5 + 2 + 24*w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 3*y - 7. Let c be i(6). Suppose 0 = -2*g + c - 1. Suppose -4*b = -3*r + 65, -r + g*b + 105 = 4*r. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 6*m**2 + 4*m + 40. Let p be y(-5). Let q = p - 61. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 253*u**2 - 11816*u - 154448.\nAnswer: -(u + 28)**2*(u + 197)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -6 + (-651)\/(-7) + 1. Suppose -468 = -38*d - p. What is the greatest common factor of 125 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a tonne in kilograms?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-290)\/29 - 17) + 24?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -0.5, 4\/3, 2\/3, -5\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(130))\/sqrt(10) + (sqrt(13) - sqrt(52))**2*-6.\nAnswer: -78 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.23685 - -0.0626651\nAnswer: -0.1741849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/7 (b) 3 (c) -27 (d) -0.6 (e) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 7*y**3\/3 + y**2 + 3*y - 7. Does 9 divide b(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -1. Let u be 1*(1 - b\/(-1)). What is the derivative of -2 - 2*q + u*q + 0 wrt q?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -1, 6, -3, -869, 5, 1 in ascending order.\nAnswer: -869, -3, -1, 1, 5, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60805 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 2 v when four letters picked without replacement from ninmmnmnvv?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 12 - 75. Factor -20*b - p + 36 + 3*b**2 + 2*b.\nAnswer: 3*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (124 - 74 - 46) + 2 + 21.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -48 times 74303\nAnswer: -3566544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**4 - r**2. Let l(b) = -38*b**4 + 6*b**2 - 13. Let w(t) = -6*i(t) - l(t). Differentiate w(z) wrt z.\nAnswer: 128*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.8445 and -7.41.\nAnswer: -4.5655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 1\/82, 118, 3\/5, -6\/17, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51139 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, -6, -16, -3, 5, 419 in increasing order.\nAnswer: -16, -6, -5, -3, 5, 7, 419","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*h - 15 - 1. Solve -3*v = -h - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 2:58 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-5))\/(2\/5). Let s be (-6 - -4)*-2*(-1)\/(-2). Suppose 2*z = -2*h - s*h + 8, 4*z - 16 = 3*h. Solve 6*f = j*f - 2*m + z, 4*m = -f + 5 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 5:04 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 47943.8 milligrams in kilograms?\nAnswer: 0.0479438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3796147 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -3 (c) 0.2582\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-322 - -353) + -44 + -14 + (0 - (1 - -8)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 147.87 and 0.02.\nAnswer: 147.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + h + 4*h + 7, -10 = -3*a + 4*h. Let z(f) = f - 1. Let g(o) = 9*o. Let x(k) = g(k) + 3*z(k). What is the tens digit of x(a)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 961 is divided by 162.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*w = -16978, 0 = -26*n + 28*n + 5*w - 8496. What is the second derivative of 4*m**4 + 9 - m - n*m**2 + 4243*m**2 wrt m?\nAnswer: 48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -35*r + 35*r - 7*r**2 - 4*r**2 + 3*r**2 - r**2 + (r + 3*r - 3*r)*(-5*r + 2*r + 2*r) + 3 - 3 + 2*r**2.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64299.4939 + 0.2.\nAnswer: 64299.6939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m*m**(-10)*m)\/m)\/((m*m**(-4\/3))\/m))\/(m**1\/m**3))**(-48) assuming m is positive.\nAnswer: m**272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*18.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -183 - 4*t**3 + 183 + 7*t**3.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/21 - -4\/7. Which is the second smallest value? (a) -4 (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 3*o**2 + 4*o + 2. Let u be q(4). Suppose 2*g - 2*r - 10 = -0*r, r = 0. Suppose g - 15 = -u*i. Solve -3 - 2 = i*k, 0 = -4*l + k + 17 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 286 and 130.\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 34493500 rounded to the nearest 1000000?\nAnswer: 34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2*g + 19 = -5*v, 0 = -2*g - 4*v - 16. Suppose 5*z = -0*z - 4*b + 31, -19 = -5*z - b. Solve g*x + 5 = -k - 2*k, 5*k + z*x = -7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 AM and 9:15 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 474.87 + -467. Let c = p + -0.57. Round c to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of -y**5\/60 - y**3\/2 + 14*y**2. Let f(l) = -l**2 - l - 4. Determine -3*f(c) + 4*h(c).\nAnswer: -c**2 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2\/3 (b) 70\/3 (c) -0.01 (d) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247641675?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (-10)\/(-2 + 2 + -2). Solve j - 2*f + 9 = x, 2*j - 2*f = -8 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 + h - 1. Let b(g) = 3 - 5 - 37*g + 38*g. Let o be b(4). Suppose 0*a - 2*a = -o. Give r(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171751039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(126)\/sqrt(2) + sqrt(63)))\/((2*sqrt(99) + sqrt(99) + sqrt(99))\/sqrt(11)).\nAnswer: 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1599 - 1678 = -167*c - 605 for c.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 0.5, -295.78, -0.141, 0.12, 0.3?\nAnswer: -0.141","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**3 + 7*m**2 + 4. Let b be g(-5). Suppose -4*a + 49 + b = w, 5*a = w - 67. Suppose w = 5*k - 113. Calculate the greatest common divisor of k and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -15*((-24)\/9 - -3). Let b(k) = -5*k**2 + 3*k - 6. Let p(n) = 4*n**2 - 3*n + 6. Let s(f) = -5*b(f) - 6*p(f). What are the prime factors of s(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-214 - -202) + (1 - (-438)\/36). Suppose -23\/2*m - 43\/6*m**2 - h*m**3 - 3\/2 = 0. Calculate m.\nAnswer: -3, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - 232162?\nAnswer: -232200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(1\/4))**40\/(x*x**(-3\/4)*x**(-4)) assuming x is positive.\nAnswer: x**(215\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -16, -42630 in descending order.\nAnswer: -9, -16, -42630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 26133548 from -0.1.\nAnswer: -26133548.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1304 and 25664.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*f + 2*k - 24, 5*k - 1 = 92*f - 94*f + 1 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c\/(c**20\/c)*c\/(c\/(c**(-1\/10)*c)) assuming c is positive.\nAnswer: c**(-161\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - -38 - (-6 + 15) - -4?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h + i + 2 = -8*i + 7*i, i = -6*h + 14 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -310438048, -620876108, -931314180, -1241752270, -1552190384, -1862628528, -2173066708, -2483504930?\nAnswer: -2793943200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16\/39 + 240\/91. Suppose 10*g + 3 - 33 = 0. Calculate the common denominator of ((-1072)\/288)\/((-2)\/g) and q.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -1 - (12 - 223 - -311).\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 74 + -70. Suppose l*s - 16 = 2*j + 8, 4*s - 28 = j. Suppose -55*z - s = -59*z. Solve -z*p + 4*k + 5 = -7, 5*p + 4*k = -12 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes before 2:49 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -163641, -163640, -163639?\n\"Answer: o - 163642","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42868, -47366, -54864, -65362, -78860, -95358, -114856?\n\"Answer: -1500*v**2 + 2*v - 41370","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 150527020 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/6335 + 1808\/6335. Which is the closest to -0.1? (a) -4\/5 (b) 18.4 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -62 - -73. Suppose 0 = 9*g - 317 + c. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 d, and 1 h when three letters picked without replacement from hghhhgdggbhdhhh?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5 - 10, 4*s = -5*y + 271. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4490, 9022, 13588, 18194, 22846, 27550, 32312?\nAnswer: 37138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3843 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 3:12 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19209*r**2 - 2*r - 6660.\nAnswer: 38418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 35501 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 8:58 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -11*x - 6. Suppose 0*v = -4*v. Let z = -1 + v. Sort x, -3, z in descending order.\nAnswer: z, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 385*i - 390*i - 10 = -2*u, -2*u = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 29 = 2*h - 40, 9*h + 4*c = 32 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1181?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 150004923?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 1711*c**2 - 31*c - 37. Is b(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 5*v**2 - v + 5. Let u be g(5). Suppose -3 = 2*j + j. What is the remainder when 5 is divided by 1 - (j - u\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - 7*l**2 - 11*l - 3. Let i be b(9). Let v be (-4)\/(-14) + (-282)\/7. Let z = v + i. What are the prime factors of z?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.5 + -3.5. Which is the closest to 0? (a) -1\/3 (b) t (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -5*q**2 - 6*q + 2. Let i(o) = 12*o. Calculate i(l(x)).\nAnswer: -60*x**2 - 72*x + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 202 + -3394?\nAnswer: -3192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -138 + 133. Sort -55, v, -2.\nAnswer: -55, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - 16 - (2 + -6 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17, 1, 77.\nAnswer: 1, 17, 77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-1)\/3*1)\/((-305)\/183). Let u(n) = -23*n - 6. Let k be u(-6). Sort k, 3, b in increasing order.\nAnswer: b, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 37 = 370*y - 753*y + 384*y, 0 = -5*y - a - 29 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7239104 and 52483504?\nAnswer: 209934016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-172)\/(-210) - 4\/(-8). Let w = -1\/70 - g. Let j = -1 - -2. Sort -0.2, j, w in ascending order.\nAnswer: w, -0.2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.653 + -15.583. Let b = 6 - -8. Let z = b + h. Put 1, -1\/5, z in decreasing order.\nAnswer: 1, z, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 960233.9 years?\nAnswer: 96023.39","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 174 (base 12) to base 15.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - (-1 - -5 - -7 - (54 - 45)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/1841 (b) 0.06 (c) -0.03 (d) -194 (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 78173087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/6*(-25218)\/(-467))\/(-1*(-3)\/(-4)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.33 - 0.11. Let z = i - 16.22. Let r = -14 - z. Which is the second biggest value? (a) 5 (b) r (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-2*sqrt(500)*5 + sqrt(500) - (1 + sqrt(500))*5)*-3 + 2 + 5) + -1)**2.\nAnswer: 299040*sqrt(5) + 14119921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34183 + 1093955\/32. Calculate the common denominator of f and -59\/392.\nAnswer: 1568","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41.2154052 - 4.7846768. Let c = -61 + 107. Let h = p + c. Round h to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32187779.999923 + 32187799. Let r = 1.1 + -20.1. Let o = r + y. Round o to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 229*a**3*n**2 - 10261*a**3 - 2*a**2*n + 112*a*n**2 - 7*a with respect to n.\nAnswer: 458*a**3*n - 2*a**2 + 224*a*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 5:53 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -225, -1, -11 in ascending order.\nAnswer: -225, -11, -8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**3\/3 - 4*m**2 + 2*m + 6. Let t be h(8). What is the first derivative of -t - 1 + 5 + n - 3 wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from {a: 1, t: 1, z: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -463 = -c + 78. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 61 = 199. Suppose -b + l = m, 4*b - 2*b - 4*m - 246 = 0. What is the greatest common divisor of b and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = -2*n - 27. What is the tens digit of (n + 1)\/8 - (-1305)\/20?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3267191 to the power of 1\/4, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -8*a + 1. Let b be v(2). Let t be 4\/10 - 714\/b. Let l = 103 - t. Calculate the greatest common factor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145545491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 0\/(-3))\/1. Let w be (-27)\/(-15) + s\/(-5). Suppose 2*b = 5*v - 186, w*b + 40 = -4*v + 178. What is the highest common factor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -637 less than 1706367?\nAnswer: 1707004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -1982*p - 1956. Does 92 divide d(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence saa when three letters picked without replacement from tastasat.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((h**6\/h*h)\/h)\/h)\/h**(-2\/7))\/(h**2*h)**(-36))**(2\/9) assuming h is positive.\nAnswer: h**(524\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68859277?\nAnswer: 31, 47, 167, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/4049 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - 227?\nAnswer: -217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -g. Which is the closest to -2? (a) -0.1 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/6 of a day in minutes?\nAnswer: 9840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 100, -360, -1126, -2198, -3576?\n\"Answer: -153*k**2 - k + 254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3929 - -4195. What is the remainder when g is divided by 139?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.819 - 0.607. Let a = 2498.1987 - 2498. Let y = x - a. What is y rounded to 3 dps?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7709 + -7704. Suppose 0*g + w - 21 = -3*g, -3*w = 0. Solve g - 2 = -y*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j + 2. Let w be a(1). Let l(m) = m**2 - 12*m - 18. Let h be l(14). Let n be 1 + (-5)\/(h\/(-4)). Calculate the highest common divisor of w and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m**4 + 4*m**4 - 3*m**4)*(-3543 - 6305 - 2978 - 1438).\nAnswer: 28528*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 - 9 - 0)*-1. Let p(i) = -6543*i**2 - 3*i + 10. Let w be p(l). What is w rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 5*c**2 + 169071510*c + 1429258774684005 = 0.\nAnswer: -16907151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (8 + -16 - -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, m: 4}. What is prob of sequence wmmm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*k**2 + 4*k**2 - 203*k + 2*k**3 + 103*k + 25 + 102*k + 2*k**4 to the form m*k + o*k**2 + r + v*k**3 + u*k**4 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-326)\/22 - ((-2500)\/(-650))\/25*(-39)\/(-33)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3*s**3 + 13*s**2 - 23*s + 33. Let y(g) = -2*g**3 - 8*g**2 + 15*g - 22. Let r(v) = 5*u(v) + 7*y(v). Give r(-10).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.32939441 to zero decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2 - 7202511*c + 14405026.\nAnswer: -(c - 2)*(c + 7202513)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -129 - -2?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*t**4 + 34335*t**3 + 969045*t**2 + 6611065*t + 5676300 = 0. Calculate t.\nAnswer: -595, -212\/11, -9, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t*t**(-8))\/t)))\/(t**(-6)\/t))**(1\/31)\/(t**7\/t**(-2\/11)*(t**(-1))**(-1\/19)) assuming t is positive.\nAnswer: t**(-47081\/6479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*x**4 - 12*x**4 + 3*x**4 + (2*x**2 - 2*x + 2*x)*(-2*x**2 + 0 + 0) to m*x**4 + k + h*x**3 + r*x + l*x**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2163161303 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 0 - (-1 + 3). What is the common denominator of 53\/2 and (-19)\/(-3)*3\/u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of y**3\/6 - 9*y**2\/2 + 12*y - 4. What is f(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of -j**5\/20 + 7*j**4\/12 - j**3\/6 - 3*j**2 + 17*j. Is v(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 0*p = 1. Suppose z = -4*l - 15, 11 = -3*l - p. What is the units digit of (-2)\/4*z*-28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 1. Let i(j) = 1. Calculate 4*b(w) + i(w).\nAnswer: -4*w + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 0, -75, -17, 4 in descending order.\nAnswer: 5, 4, 0, -5, -17, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2.31427 + 239\nAnswer: 241.31427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.44633 to two decimal places.\nAnswer: -0.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -15540 divided by -12\nAnswer: 1295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the first derivative of g**4\/4 - 8*g**3\/3 - 17*g**2\/2 + 9*g + 3. Is s(11) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 8, a: 1, l: 4}. What is prob of sequence aeea?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3473857135 - 3473858247.90181472. Let q = c - -1123.90182. Let n = -11 + q. Round n to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m + 3183 = 41143. Let o(c) = -m - c**2 + 11*c + 1460. Determine o(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrrl when four letters picked without replacement from bllillir.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 1369 = -w, 0 = 2*w + 13*d - 10*d - 2747. What are the prime factors of w?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the first derivative of 5 + 1\/2*b**2 - 10*b. Let f = 15 + -7. What is y(f)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 4*m**2 - m. Let b(i) = 2*i + 1. Let d be b(-1). Let j be u(d). Suppose -v = j*z - 7, v + 2 - 9 = 5*z. Let s(r) = -r + 1. What is s(v)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -60*m**3 + 257*m**2 - 236*m**2 - 494*m**2 wrt m?\nAnswer: -360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/4, -4\/7, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/2 + -8 + 48. Let f be 13\/(-2)*(-8)\/(-2). Let v = c + f. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -80 + 80.1. Let s = 1 - 3. Let a = -2 - s. Is a bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -282\/5 + 56. Let f be -1 + 3\/10*(-30)\/(-12). Which is the second smallest value? (a) u (b) -2\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29460118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 3 - (-5 + 0 - 20) - (-4 + -4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(8)\/sqrt(4)*-4 + -1*sqrt(2)*-6.\nAnswer: -1 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1053) - sqrt(13))*2 - (sqrt(91)\/sqrt(112) + 4).\nAnswer: -8 + 63*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**2\/9 - 2390*i\/9 + 4784\/9 = 0. What is i?\nAnswer: -2392, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 364 and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*s = 232*s + 106*s - 1509008. Does 16 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + -1)*97\/194. What is the fourth smallest value in 4\/3, 4, 0, 5\/3, b?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -94*p. Let c(x) = 216680*x. Give c(s(m)).\nAnswer: -20367920*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 2. Let r = 43\/26 + -304\/117. Is q <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -76470132.9 rounded to the nearest one million?\nAnswer: -76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -45*o**2 + 533*o + 20. What is t(12)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a - 2. Let w be c(4). Let r be 2\/(-4)*2*0. Suppose 3*t + r*v = -v + 17, -2*t + w = -4*v. Solve 0 = 2*s - k + t, -2*s - s = 4*k + 2 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 64413*p + 515315. Calculate x(-8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72 in 0.3, -4, 3, 54775?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2*27\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) -3 (c) -632 (d) 0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 7 = 3. Let q(d) = d**2 - 2*d + 6. Let z be q(6). Suppose -3*v - 3*o = -27 + 9, 0 = 5*v - o - z. Solve n = 4*s - v for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/2 + 10499*m + 1160940.\nAnswer: -(m - 21108)*(m + 110)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*z - 818 = 0, 2*p + 3*z - 5*z = 332. Calculate the remainder when 636 is divided by p.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -11. Let w be -11 + 1 + ((-36722)\/(-896) - 31). Which is the second smallest value? (a) p (b) w (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -589447.957 rounded to the nearest ten thousand?\nAnswer: -590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(475)*-5 + -3.\nAnswer: -25*sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11.32 - 11. Let i = 689 + -694.32. Let x = m + i. Which is the closest to -2? (a) -1\/2 (b) 0.2 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -371284.1 - 31.047\nAnswer: -371315.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 67*c**3*d**3*f + 278*c**3*d - 4*c**3*f - 6*c*d**3 + c*d - 40*c*f wrt f.\nAnswer: 67*c**3*d**3 - 4*c**3 - 40*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = 2*x + w - 375, 0 = -4*w. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - (-63 - 21) - (-2 + 1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-4)\/24)\/(224\/960)*-7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, b: 2, n: 4, x: 3, v: 1, e: 1}. What is prob of picking 1 x and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -390 + 332. Let j = v - -224. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/169 at least as big as 300\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.084. Let p = 0.02 - n. Let b = 0.001 + p. What is b rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 6*s**2 - 4*s + 8. Let p be r(-5). Suppose 2*d - n = -d + 5, 5*n + 25 = -p*d. Solve -3*o + d*f + 13 = -f, 5*f = 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - (-1 + 2) - -23. Calculate the greatest common divisor of m and 80.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 46 - 11. Let f be 10\/s - (-18)\/(-14). Let c be ((-6)\/72)\/(4\/6). Which is smaller: c or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3*sqrt(51)\/sqrt(3) + sqrt(17) + sqrt(17) + sqrt(2448) + sqrt(2448)*2)*2.\nAnswer: 164*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 10*u = 8. Solve -2*a - 2*a + 6 = 5*n, 3*n - 2 = -u*a for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-9) - (-8)\/(-36))\/((-230)\/(-69))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -160 divided by 32\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 6*z + 56. Give a(-13).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.313 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 0.1 (b) 2\/5 (c) -2\/3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 261753 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3778 + -75491\/20. Let p = t + -17\/4. Which is the closest to -2\/3? (a) 4 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -67\/22 + 6\/11. Is 1\/2 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2009?\nAnswer: 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -605 divided by 5?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.892 to one dp.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 163706, 327418, 491130?\nAnswer: 654842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 898 - 573. What is the highest common divisor of g and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -15. Let s be (-12 - 0 - -8)*1. Put 0, 2, q, s in decreasing order.\nAnswer: q, 2, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 3. Let z be w(3). Let k = 712 - 29195\/41. Which is smaller: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of j**5\/30 + j**4\/6 + j**3\/3 - 3*j**2 + 58*j. Let k(d) be the first derivative of p(d). Factor k(u).\nAnswer: 2*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 7*f. Suppose f = -3*u + u + 44. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 23 = -m, 5*l + 6 = 31. Let u be (-4)\/10 + (-2)\/(-5). Let r be (u - -2 - 12)\/(-2). Solve -r = b - 6*b, m*o - 5 = -5*b for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 123290097.\nAnswer: 3, 7, 23, 255259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 645682.\nAnswer: 2, 113, 2857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = -0*z - 175. Let l be ((-36)\/(-2))\/(10\/z). Let u = -34 - l. List the prime factors of u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 281?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 2*k + 1. Let b be g(1). Let j(f) be the second derivative of 2*f**4\/3 + 3*f**2\/2 + 2210*f. Is 35 a factor of j(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - 14. Let y = -177\/5 - v. Let w be (5*(837\/90 + -9))\/((-2)\/4). What is the second smallest value in w, -5, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11979 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -173*i**4 - 13*i**3 + 2*i**2 + 32776?\nAnswer: -4152*i - 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (246 - 259) + -1 + -2 + 0 - -1.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1684210782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 7 = 2*o, -t + 2*t = -2*o + 1. Let b = 280.9 - 282. Let z = 1 + b. What is the closest to t in 0, 2\/3, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 + 6*a. Let r(v) = -4*v**2. Determine r(f(o)).\nAnswer: -64*o**4 - 192*o**3 - 144*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 190 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2382, -2488, -2596, -2706, -2818?\nAnswer: -2932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.51364 rounded to the nearest integer?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = -s + 5*k, -2*s - 2*k = -83 - 37. Suppose 60*y - 2843 = s*y. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -51*g**2 - 7 + 13*g**2 - 13*g**2 - 23*g**2 - 131 wrt g?\nAnswer: -148*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -1, 4, -501 in decreasing order.\nAnswer: 4, 3, -1, -3, -501","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(32)*1 - (sqrt(4)*-1 - sqrt(4))\/sqrt(2).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 5*g**2 - 5*g + 1. Let s = -8 - -7. Let p be s + -1 + 0 + -2. Let x(w) = -w**2 + w. Let h(t) = -t - 4. Let d be h(-3). Calculate d*r(z) + p*x(z).\nAnswer: -z**2 + z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2052407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5334 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1277 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/6*(-62)\/93?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-349*i**2 - 20435 + 20435)*(2*i**2 - i**2 - 2*i**2).\nAnswer: 349*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 minutes before 8:04 AM?\nAnswer: 2:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 11 = 28*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830219817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2*k - 53. Let o(a) = 2*a**2. Determine o(f(t)).\nAnswer: 8*t**2 - 424*t + 5618","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -13286.79 (b) 1 (c) -9 (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209280515?\nAnswer: 5, 137, 193, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2\/9 (b) 0 (c) 0.228 (d) 2\/5 (e) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-455)\/26*(398\/(-30) + -3). Let c = a - 284. Determine z so that -1\/9*z**2 - c - 5\/9*z = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -20 + 10. Let j = 15 - p. Is 17 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 + (-2 - 2) - 8. Find the common denominator of (-609)\/35*z\/(-4) and -109\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/2)\/(60\/(-80)). Let l(a) = -3*a + v*a**2 - 2*a**2 + 8*a**3 + a - 4*a**2. Let n be l(-6). What is n rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -164444 divided by -28?\nAnswer: 5873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 2*l + 38 = 0, -9 = -5*t - 4*l + 27. What is the highest common factor of t and 76?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*m + 8 = -4*u + 42*m, 5*u - u - 18*m - 18 = -122 + 8 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 55604.315 to the nearest 100.\nAnswer: 55600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/120 - (-1 + (-5)\/(-6)). Let w be 4\/54 - (-4365)\/(-9720). Sort -0.2, -19, w, a.\nAnswer: -19, w, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 9. Let j be (p\/(-2))\/(4\/8). Let c be (3 + -2)*(1 - 0). Are j and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1127008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -255365201?\nAnswer: 255365204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*v - 4*v**5 - 86*v - 10*v**5 wrt v?\nAnswer: -280*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6326770, -6326769, -6326768, -6326767?\nAnswer: -6326766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17435751.\nAnswer: 3, 5811917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 4*w**2 + 4*w - 6. Let b be l(6). Let n = -54 - b. Suppose 0 = -5*k - 2*i + 8281, n*k - 3*k + 4974 = 3*i. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 10096635 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (195\/(-9))\/((7\/(-49))\/(15*(-29)\/1015))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 + 2. Suppose 1 = -m - 5*q + q, -3*q - 7 = 2*m. Let g = m - -4. Which is the nearest to 2\/9? (a) u (b) 0.3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) + 8\/(-36). Let o = 665.58 + -665.7. What is the closest to 0 in h, -2\/7, o?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 0.16 (c) -1\/32 (d) 0.4 (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -3*q - v, 4*q + 3*v + 6 - 31 = 0. Suppose 0 = q*c - c, -3*s + 4*c + 7707 = 0. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -4*c. Suppose 7*o - 3 = 8*o. Let j(q) = q. Let h(g) = o*j(g) - d(g). Let s(m) = -4*m. Determine h(s(v)).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(((-9)\/21)\/(-3))\/(3\/1302)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 5*g - 2 - 2, -2 = 3*g + 4*j. Suppose -4 - 4 = -g*t, -2*r + 3*t = 466. Find the common denominator of 3*(-1)\/(-12) - r\/132 and 23\/15.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 23 = 0, -3*f - 8562 + 8499 = -2*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 111\/66883?\nAnswer: 111\/66883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 2. Suppose -5*k + 5*r + 55 = 0, 5*k = 17*r - 13*r + 54. Let v = k - d. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187130.\nAnswer: 2, 5, 18713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -502 and 3218?\nAnswer: -1615436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 191911683.\nAnswer: 3, 63970561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/6)\/((-29)\/232).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -54114*b + 49. Let a be m(9). Let w = -96977 - a. Round w to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**5)\/d*d**(4\/3)*d*d**(-2)*d**(2\/11)\/d)\/(((d\/d**1)\/d)**(-18\/5))**11 assuming d is positive.\nAnswer: d**(-5789\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from juujyyuyjycyyyucu. Give prob of sequence jjyy.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(396) + sqrt(396)*3)*3)\/(sqrt(9) + sqrt(441)*-5 + sqrt(441) + sqrt(441)))**2.\nAnswer: -396\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) 1\/2 (b) -4 (c) -0.01976\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1340788, 1340796, 1340818, 1340860, 1340928, 1341028, 1341166?\n\"Answer: g**3 + g**2 - 2*g + 1340788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 4*v - 3. Let u(z) = 3*z - 4. Let k(x) = 4*l(x) - 5*u(x). What are the prime factors of k(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (24\/(-32))\/(1 + 17\/(-16)). Let d be ((-27)\/(-12) - 2) + 33\/p. Suppose 0 = -w + d*z + 184, -5*w + 4*z = 5*z - 840. List the prime factors of w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5097*b**3 - 6 - 3*b**2 - 4 + 10.\nAnswer: -5097*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28960471 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*d - 25219 = -7669. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 + 6*i**2 - 4*i - 8. Let w be s(4). Let g(x) = -2 - 14*x - x**3 + 6*x - 7*x**2 + w + 3*x. Calculate g(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.5 - 30.5. Let r = -36 - w. Which is the second smallest value? (a) -9 (b) r (c) -0.1 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -248 or -239?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1070262?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 84 and 1936599.\nAnswer: 7746396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + -15 + 0 + 20 + (-5 - 0).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4\/5, 4\/11, 2.2 in decreasing order.\nAnswer: 2.2, 1, 4\/5, 4\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -110 - -97. Let c(v) = -2*v - 2*v + 2*v. Is c(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 4*v + 35 = 0, -3*p = 2*v - 0*v - 21. Let t(q) = 4*q - 2*q + 3*q + 1 - 2*q. What is the least common multiple of 12 and t(p)?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-9) - (-78)\/108.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/(1 + 1)*0. Let f(q) be the second derivative of -1\/10*q**5 + 0*q**4 + n*q**2 + q + 0 + 1\/3*q**3. Determine j so that f(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5320 and 0.05527.\nAnswer: 294.0364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*g**4 + 3*g**4 - 2*g**4 - g**4 + 0*g**4 + 2*g**4 + (-2*g**2 + 2*g**2 + 2*g**3)*(0*g - g - g) + 26*g**4 + 46*g**3 - 46*g**3.\nAnswer: 24*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 184 = -20*j for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/528 and 71\/138.\nAnswer: 12144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3*2\/(18\/51)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*a - 242*a - 3806 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (166 - (1 + (1 - -1))) + 3. Suppose r = -3*r - 4, -3*t + 4*r = -s. Calculate the smallest common multiple of t and 6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3c5c49b + -2?\nAnswer: 3c5c499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -7. What is the third derivative of -44*j**2 - u*j**3 + 3*j**3 - 34*j**3 + 16*j**2 wrt j?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 568 and 832924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11121556*a**3*q**2 + a**3*q - 7*a**3 + 5*a**2*q**2 - 2*a**2*q - 7779714 wrt a?\nAnswer: -66729336*q**2 + 6*q - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 128461.5931 less than 0.4?\nAnswer: -128461.1931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-4*((sqrt(242) + -1)*2 + -2*sqrt(242)*-5 + 0)**2.\nAnswer: -4224*sqrt(2) + 278816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) -0.11 (c) 5\/6 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-1)\/2*2). Let i(f) = 204*f**2 - 2*f + 1. Let d(n) = -594*n**2 + 5*n - 2. Let m(a) = 2*d(a) + 7*i(a). Is m(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 74*l - 3705. Let o be c(50). Sort o, -6, -4, 90, -3.\nAnswer: -6, o, -4, -3, 90","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -g - 4*z - 93, -3*g - 2*z + 1 = 0. Solve -2*b - x + g = 0, 5*b - 36 = x - 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - -4)\/(3\/2). Let s be (2\/(-4))\/(j\/(-12)). Let -1\/5*r + 0*r**2 + 1\/5*r**s + 0 = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12.43 + -0.03. Let i = 0 + 9. Let m = b - i. What is m rounded to zero dps?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z - 267. Let c be s(0). Suppose 0 = -4*b - 5*k - 1887, b - 6*k + 498 = -2*k. Let x = c - b. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5 + 5 + 2*l + 75*l - 35*l - 17*l + (4 - 4 - l)*(2 + 4 - 5) - 2*l - 2*l + 2*l.\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 402.\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 33, 25, 17, 9, 1?\n\"Answer: -8*i + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133389, -266775, -400159, -533541, -666921, -800299?\nAnswer: -933675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 + -14)\/(5 - 6). Calculate the highest common factor of 108 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 251931 and 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*q**4 + 48*q**4 + q**2 - 600*q + 3*q**3 - 83*q**4 to the form w*q**3 + t + f*q**2 + v*q + b*q**4 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/8 and -41\/11?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9680981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2020 (base 6) to base 3\nAnswer: -121110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1092 and 12831.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 - 105 = 7*u. Let g be (-686)\/u + (-18)\/99. Suppose 3*t = 2 + g. What is the remainder when 19 is divided by t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.66 + -1.3. Let v = 0.06 - r. Let f = 0.30001 + v. What is f rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, j: 12}. Give prob of sequence jx.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 6*r**3 - 346*r**4 + 348*r**4 - r - 4 to z*r + t + m*r**2 + p*r**4 + a*r**3 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 39*n**3 + 12*n**2 - 323*n + 609. What is b(2)?\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3770, -7511, -11202, -14849, -18458, -22035?\nAnswer: -25586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.92647 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.06 (b) 3\/4 (c) 0.2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -53 (base 14) to base 16\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 59 - 33. What is the remainder when 77 is divided by r?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2*z - 1120 = 111, 0 = 2*m + 2*z - 822. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21627936 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1328)\/(-10) + (-68)\/(-340). Let t = 155 - j. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/8*-10*(20\/8)\/(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 2*l**3 + 3*l**2. Let q(o) = 2801*o**4 - 10*o**3 - 15*o**2 - 5046*o. Let p(c) = 5*h(c) + q(c). What is the second derivative of p(u) wrt u?\nAnswer: 33612*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30032.012159 + 30032. Round k to 3 decimal places.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 m when two letters picked without replacement from {c: 1, r: 4, j: 4, m: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (120\/18*(-3)\/(-2))\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-41452)\/(-569965))\/(60\/22).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 - 75 - 3371*q + 294 - 70 - 76)*(-4 + 2*q**2 + 4).\nAnswer: -6742*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4611076.\nAnswer: 2, 47, 24527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 1)*(3 + -4). Let x(f) = -19*f. What is the remainder when 55 is divided by x(r)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, 444, -50 in ascending order.\nAnswer: -50, 0, 1, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*n**3*r**3 + 21*n**2*r**3 - 25*n*r**3 + 2*n*r**2 wrt n.\nAnswer: 18*n*r**3 + 42*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -995*v + 410. Let x(i) = -i. What is m(x(j))?\nAnswer: 995*j + 410","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 16) to base 12.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*a*n*o + 3*a*n - 3*a*o**3 - a*o + a - 2*n*o**2 - 4*n with respect to o.\nAnswer: -5*a*n - 9*a*o**2 - a - 4*n*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (4719 + 2747 + 16035)*((2 + 0 + 0)*(r + 2*r - 2*r) + 3*r - r + 0*r + (4 + 0 - 2)*(r + r + 0*r)) in the form l + p*r and give p.\nAnswer: 188008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(11) - 1*sqrt(99)) + sqrt(34)\/(sqrt(10)\/(sqrt(5)*4)))**2.\nAnswer: 833\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -3*l - 4. Let g be f(-7). Let m = -12 + g. Suppose -4*p - 8 = -3*v - 0, 0 = m*v - 20. Solve 3*k - 4*k - p = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26075893 is divided by 3725125.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -cd9567a - -1?\nAnswer: -cd95679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(204) - sqrt(204)*-1)\/(sqrt(3) - sqrt(21)\/sqrt(7)*4).\nAnswer: -4*sqrt(17)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 86924884?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-15)*795\/(-53)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 + -109 + (-57 - 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 33, 55, 89, 135, 193, 263?\n\"Answer: 6*s**2 + 4*s + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (10 + -27 - -27) + 9?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 - 184 + 3154711*c.\nAnswer: 3154711*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 15 + 0*a**4 + a**4 + 14 in the form l*a**4 + c*a + h*a**2 + y + v*a**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n = -n + 90. Let x be ((-3)\/2)\/(n\/480*1). Let l be (-3 + -2)\/((-2)\/4). What is the greatest common divisor of x and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*m = 188*m - 20, -3*s = -m + 4 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 90651, 725041, 2446919, 5800029, 11328115?\n\"Answer: 90624*d**3 + 22*d + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -7*h + 15. Suppose o + 3*c + 4 = 0, -4*o + 5*c + 15 = -h. Suppose 3*g - 62 = -3*q - g, q = -o*g + 24. What are the prime factors of q?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6770?\nAnswer: 2, 5, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 4, 33, 74, 127, 192, 269?\nAnswer: 358","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 15.9. What is the closest to z in -4\/3, -3\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 14 + (-238)\/21 - -1. Suppose -17\/3*o**4 - k*o**2 + 7*o**3 + 0 + 5\/3*o**5 + 2\/3*o = 0. Calculate o.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 14a5a45 - 6?\nAnswer: 14a5a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-38)\/(-2)*(-1)\/5 and -1 + ((-445)\/(-6))\/(-5)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, w: 2, m: 1, s: 1, c: 1}. What is prob of picking 1 s and 1 c?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(3\/11)\/(a*a**2) assuming a is positive.\nAnswer: a**(-30\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5719 and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a kilometer in meters?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*y - y + 3*y)*(-3 + 1 + 0) + 3*y - 6*y - y + y - 2 + 0 - 2*y + (2*y - 3*y + 2*y)*(-5 - 2 + 5) + 229*y - 139*y - 124*y as b + g*y and give g.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 870933 divided by -22\nAnswer: -870933\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 77568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5*y + 12 = 0, -33 = -3*n - 4*y. Suppose 0 = n*g - 259 + 35. Let d(s) = s**3 + s**2 + 3*s - 3. Calculate the remainder when g is divided by d(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-20) + (3 - 55\/36)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78048 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 219 + -218.7. Let n = 0.34 + -0.3. Let s = 2.04 - n. Which is the biggest value? (a) s (b) -0.3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 3 + 5 = 0. Suppose 27 = r*f + 7. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2658340 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*j**4\/4 + 131*j**3\/4 - 89*j**2\/2 + 10*j.\nAnswer: j*(j - 1)*(j + 20)*(7*j - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.58 + -4.99. Let u = 2.59011 - r. What is u rounded to five decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from {l: 5, j: 3, r: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 4 + 7)*(2 + 1 - 1)*(0*q - q + 2*q) - 2*q + 0 + 0 to the form a*q + g and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 67 (base 12) to base 6\nAnswer: 211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*h - 9*h + 6*h**2 + 9*h - 17*h.\nAnswer: 6*h**2 - 28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 - 73*s + 280. What is the remainder when 814 is divided by b(-38)?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2895 divided by -5.\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-108)*6)\/(2\/36*-1)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 - 0.1. Let f be (2\/3)\/((-3)\/(-54)). Let v be f\/(-6)*2\/36. What is the second smallest value in 3\/8, v, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 104*q**4 - 56156*q**3 + 4363864*q**2 + 13774244*q + 523320 = 0. What is q?\nAnswer: -3, -1\/26, 98, 445","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -5*k**4 + 68865*k**3 - 236947175*k**2 - 1186182465*k - 949166420 = 0.\nAnswer: -4, -1, 6889","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 21569 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 9 + -13. Suppose n + 31 = 5*y + 6, 0 = 2*y - 2*n - 2. Let z = x + y. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**4\/4 + 12*t**3 - 597*t**2\/4 + 939*t\/2 - 450 = 0.\nAnswer: -25, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y + 32. Let x(h) = 182972*h - 2. Calculate g(x(l)).\nAnswer: 182972*l + 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -0.5, 1\/4, 28.7, -32?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -11*g**2 - 6 + 12*g**2 + 4*g**2. Let i be b(-5). Suppose -4*s - 5*p = -i, -s + 6*s = 3*p + 195. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 41816613?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 48 * -2.1\nAnswer: -100.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/4962 and 34\/27.\nAnswer: 44658","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7629 is divided by 205.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o - 32. Let r be z(4). Suppose -3*p + 23 - 20 = r. Are p and 0 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 + 4*d**2 + d + 1. What is the remainder when u(3) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/((-5)\/210). Differentiate 112*k + 112*k - u - 206*k + 1 wrt k.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 663 + 383 = 14*r. Which is smaller: -52 or r?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.07 - 1.53. Let i = t + 7.1. Let s = i - 4.8. What is the third biggest value in -5\/2, 2, s?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 3*a + 90. Let p be ((-114)\/a)\/((-2)\/40). Calculate the remainder when 12 is divided by p\/40 - 12\/15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 185*h**2 - 2*h. Let q be 39\/(-9) - (-4)\/12. Let y be (-1)\/(-2 + (-12)\/q). Is s(y) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*((-192)\/(-21888))\/((-2)\/12).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1217855000 to the nearest one million.\nAnswer: -1218000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 3, -1, 120297585?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.6946 and 831?\nAnswer: 6394.2126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 288612869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -9*h. Let z(g) = -g - 7. Give z(w(x)).\nAnswer: 9*x - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -12*t - 6 - 9*t - 5*t**2 + 6*t**2 + 28. Let o be g(20). Factor s**o + 0 - 1\/2*s**3 + 0*s.\nAnswer: -s**2*(s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/180 - 2*s**3\/9 - 37*s**2. Let q(f) = 0. Calculate f.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 4\/19, 0.2 in decreasing order.\nAnswer: 2\/3, 4\/19, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -602292 and -0.423?\nAnswer: 602291.577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0*u**(3\/5))**(-39)*u**(-1\/7)\/(u*(u*u*u**(-1))\/u*u)*u**4*u\/(u**(-8)*u) assuming u is positive.\nAnswer: u**(-474\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 156.4 - 133. Let f = 10 + i. Let j = f - 33. What is the third smallest value in 0.3, j, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 16 = 0, -305 = -4*y + 2*f + 75. Factor -46 - 31 + 55*k**2 + y - 75*k.\nAnswer: 5*(k - 1)*(11*k - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of -z**7\/126 + 2*z**6\/45 - z**5\/15 - 27*z. Let l(h) = 0. What is h?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*u = 46*u - 7224. Calculate the remainder when u is divided by 76.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 231115944?\nAnswer: 2, 3, 9629831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3242448 and 163152.\nAnswer: 1584","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 2\/13, -0.5, 0, 2\/5.\nAnswer: -0.5, 0, 2\/13, 1\/5, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -1156*a. Let l(z) = -7*z**2 + 570*z - 2. Give h(l(y)).\nAnswer: 8092*y**2 - 658920*y + 2312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1226 - 1225.9622. What is l rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 267083 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -4 - (4 + -6 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 534 a factor of 6810176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v + 0*v + v + (1 + 1 + 0)*(0 - 6 - v + 3).\nAnswer: -3*v - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 62 + -62.5. Let l = 2030 - 2030.1. What is the smallest value in 2\/21, a, l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z. Let x = -53 - -98. Let v be -7 - (-305)\/x - 112\/(-18). Let s(c) = 1 - c + 1 + 5*c. Calculate v*l(h) - s(h).\nAnswer: 2*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 3*a**2 - 11*a - 5. List the prime factors of f(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14587 and 1247.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of n**6\/120 + 13*n**5\/60 - 5*n**4\/8 - 7*n**3\/3 - 2*n**2. Let d be g(-14). Solve d = -3*r + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*w**5 + 20 - 20 + (3*w - 3*w - 2*w**4)*(-4*w - 2*w + 3*w).\nAnswer: -3*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -248 + 447. Let p = b + -193. Solve 0 = -6*o + 8*o - p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 24974924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15701, -62811, -141331, -251261?\nAnswer: -392601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4 + 16 = 4*t, -5*t + 7 = p. What are the prime factors of t\/((12\/135)\/(4\/3))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304*o - 370*o = -16302. What is the greatest common factor of 104 and o?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1408815, -5635223, -12679235, -22540851, -35220071, -50716895?\nAnswer: -69031323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 57\/784 and 2 + 1 - (32662\/(-8232) + 12 + -5).\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bu when two letters picked without replacement from uxbrbuhbbrbqx?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 10*x - 12. Let v be j(4). Suppose 5*p + 2*p = v. Let y be ((-9)\/2)\/(-9)*6. Solve -p*d = -d - y for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -9\/2*j**2 - 1\/6*j**3 + 22 - 52\/3*j = 0?\nAnswer: -22, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.8766405 micrometers?\nAnswer: 0.00008766405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 + -15 - (3 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(340) - (sqrt(340) + 1*sqrt(340))) + sqrt(340))\/sqrt(10))\/sqrt(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = c - 8, c - 16 = -c + 3*d. Let q = c + -3. Solve a + 0*a + q = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 6*a. Let h = 0 + 2. Let j(y) = 7*y - 2*y - 10*y + y**h. Determine 6*j(t) - 5*z(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.8 + 7.002. Let h = -0.198 - o. Which is the biggest value? (a) h (b) -161 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1267 = -18*z + 1181. Suppose 524 = a + 2*t + z, -t = a - 386. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7829313 millennia to decades.\nAnswer: 78.29313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11085*-26.1.\nAnswer: -289318.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**2\/2 - 3*c + 5. Let b be q(-6). Suppose 0*d - b*k + 75 = 2*d, 5*k - 41 = -d. Is d a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 + 6*p - 4. Let t be b(-7). Suppose 2 = t*n - n. List the prime factors of 8 + n + -2 + 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -9. Suppose -i - 11 = 4*b, 19 = b - 5*i + y. Let t(w) = 2*w**2 + 3*w + 1. Is t(b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 16*s**2 - 65*s - 3. Let t be n(-9). Solve 2*g + 24 = 4*u, -u = 2*g - 11 + t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/5 - 68553*a\/5 - 137086.\nAnswer: -(a + 10)*(a + 68543)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 388, -1.\nAnswer: -4, -1, 388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -208746\nAnswer: 208745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - a = 22, 0 = -0*b - 4*b + a - 23. Find the common denominator of 75\/2 and -3*1\/(-5) - (-32)\/b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -0.4, 0, -2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 58 + -58. Let z be 84\/(-105)*10\/2 - -2. Let s = -8\/9 - -23\/36. Which is the nearest to -1\/12? (a) s (b) z (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 57*23\/(-207)*-2181?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r - 1. Let j(p) = 3*p + 1. Let z(v) = 5*a(v) + 7*j(v). Let x(s) = 1 + 386*s + 375*s + 379*s - 1139*s. What is 6*x(n) - 4*z(n)?\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 98\/(-8)*4*8\/(-112)?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 477742 a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/(-9) + 26\/(-39). Factor 2\/9*o**4 + 2\/9*o**2 + 0*o + w*o**3 + 0.\nAnswer: 2*o**2*(o + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.173? (a) -0.5 (b) -11\/4 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -132*f**5 - 58*f**3 + 4589*f**2 - 2*f wrt f?\nAnswer: -7920*f**2 - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (4 - 1) - -4*88\/32?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -18 (b) -3 (c) -2\/67 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16245 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 5. Suppose 11*o - 4 = 13*o. Is o greater than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 10. Let u be j(7). Let i = u + 8. Suppose i*g - 2*g - 102 = 0. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/917 and 3\/262?\nAnswer: 1834","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 351*r + 65. Let c(n) = 11*n + 2. Let u(h) = 65*c(h) - 2*l(h). Let o(g) = 14*g**2. Give u(o(i)).\nAnswer: 182*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of k*q*s**4 - 52*k*q*s**2 - 17*k*q*s - 6*k*s + 32*q*s**2 - 4*q wrt s?\nAnswer: 12*k*q*s**2 - 104*k*q + 64*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) - 1*-1*sqrt(104)) + sqrt(104) + -4*(sqrt(104)*2 - sqrt(104)))\/(1*sqrt(392)*-5).\nAnswer: sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68706132 divided by -967692.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7644\/330)\/14 + 96\/(-80).\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1359, 12069, 42121, 101499, 200187?\nAnswer: 348169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.1045 - -6.0945. Let y = 6 - x. Let q = y - -0.002. What is q rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 2*k - 3. Let y be t(-4). Let s = 5181\/4 + -1275. Is y at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 4*x - 234. Let k(p) = 7 + 5 + 5*p**2 - 14*p - 3*p**2. Calculate the remainder when k(9) is divided by f(14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 172, 179, 200, 241, 308, 407, 544, 725?\n\"Answer: c**3 + c**2 - 3*c + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 3*n - 22 = -4*n, -10 = -5*n. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = 3, 17 = 5*c - 7*p + 10*p for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-511)\/(-73) + (-51)\/7. Put -1, -0.1, u, -1\/11 in increasing order.\nAnswer: -1, u, -0.1, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**2 + 4*p**2 - 2*p**2 + 2*p**2 - 3*p**2 - p**2 + (-2*p + p + 0*p)*(3*p - 4*p + 2*p) + 0*p**2 + 3*p**2 - 2*p**2 + 0*p**2 - 5*p**2 + 3*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 3:07 PM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63161 and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*v + 28 = 0, i - 10 = 2*v + 2. Solve -3*b = -i*b + 4, -32 = -4*y - 4*b for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -38467 - -84140. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 + -2)*18\/(-15). Let y = -12 - p. What is the smallest common multiple of 3 and y\/9 + 40\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - -9 - (9 - 99) - (-80 - -96).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -15*k**2 - 605*k + 47. Let x(i) = 11*i**2 + 438*i - 35. Let h(u) = -8*o(u) - 11*x(u). Give h(10).\nAnswer: 129","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 8:08 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + 1 + sqrt(567))**2 - sqrt(140)\/sqrt(5).\nAnswer: 34*sqrt(7) + 2269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vttvvvvttvtsttvvvtv. Give prob of sequence svvv.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in fifteen quarters of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 = -730*v + 755*v for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-138)\/4)\/(-3))\/(9\/18). Suppose -20*x = -z*x + 99. What is the least common multiple of 51 and x?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 0.03, 1\/2, 2\/27, -15, -69?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5249051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*w + 16 = -13*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3693 = -6947. Let u = x - -38973\/4. Let q = -904 - u. Find the common denominator of 8 and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -571\/115 + 105\/23. Sort 1\/7, 25\/9, -0.1, t, -0.2 in increasing order.\nAnswer: t, -0.2, -0.1, 1\/7, 25\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -154?\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l. Let v(c) be the second derivative of -1\/2*c**3 + c + 0*c**2 + 0. Give h(v(b)).\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -15, -63, -135, -225, -327?\n\"Answer: g**3 - 18*g**2 - g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) - ((sqrt(833) + 2)**2 + -3)) + ((-2 + sqrt(833))*3)**2 + (sqrt(153) + 3 - sqrt(119)\/(1*sqrt(7)))**2.\nAnswer: -261*sqrt(17) + 6776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -723 + 17975*j**3 + 723.\nAnswer: 17975*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -2*n**2 + 5*n - 9. Let u(j) = 3*j**2 - 5*j + 10. Let g(k) = -6*q(k) - 5*u(k). Let v(c) = 8*c**2 + 14*c - 11. Calculate 11*g(b) + 4*v(b).\nAnswer: -b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1160 = -754*b + 13592 + 4156 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248283 - 167398. What are the prime factors of g?\nAnswer: 5, 7, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3164.2 + -3157. What is the nearest to -5 in 2\/3, -1\/4, g?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2403213317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2380*z + 7 + 5579*z - 1917*z + 4*z**3.\nAnswer: 4*z**3 + 1282*z + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -237*p**2 + 237*p**2 - 13*p**3.\nAnswer: -13*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 8, s: 2}. Give prob of picking 2 h and 1 s.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.119707ug to grams.\nAnswer: 0.000000119707","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11385425263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -1)*68\/(4\/(-1)). Which is greater: d or -1.1?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 712 is divided by 332.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 11\/(-5) - 3\/(-15). Let n = z - 16. Calculate the common denominator of -101\/10 and 4\/n - (-255)\/(-432).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103 - 103 + 206 + 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -4. Suppose w*n - n - 5*f + 11 = 0, 3*n = 5*f - 9. Let b = -1313 - -1335. Calculate the highest common divisor of b and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 414284 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (44\/24)\/(82\/164)\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3\/3 - 28292*s**2\/3 - 49269164*s\/3 + 2691333428\/3.\nAnswer: -4*(s - 53)*(s + 3563)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -973 = -8*r - 261. Suppose -4*j - 1 = -r. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6862 + 13295. Suppose 0 = -5*a + 4*t + h + 8063, -2*a = 3*t - 5803. Round a to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 709*(4 + -5)*-1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8 - 3)*(-38)\/5. Let p be (b\/(-4))\/(3\/6). Suppose 2*g - p = 3*w + 219, 0 = 4*w. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -14942 + 4422. Suppose -m + 1062 = 2*q + q, q - z = -2*m. What is the remainder when 30 is divided by m\/65 + 2\/(-13)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*a**2 - 30755598*a + 30755598*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((44\/6)\/11)\/((-40)\/6).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 + -0.20158. What is p rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -144 - -155. Calculate the smallest common multiple of 46 and c.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7270*m + 2553. Calculate v(0).\nAnswer: 2553","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/49391 + 246952\/148173. Solve -2\/3*m**4 - g*m**2 + 10\/3*m**3 - 1\/6*m**5 - 19\/6*m + 7\/3 = 0.\nAnswer: -7, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Suppose 46 = 5*l + y*x, 5*l - 37 = 5*x - 4*x. Find the second derivative of h - 3*h - l*h**5 + 6*h**5 wrt h.\nAnswer: -40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11467897 at most 263761646\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 90372\/108 - 4\/(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4368 - -4482. Solve 20 = m*f - 109*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 + 39. Suppose s = n - 3. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/((-200*(-33)\/1056)\/(-10)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -1. Let b(l) = l**3 + 12*l**2 + 11*l - 5. Let m be b(r). Let o(w) = 10*w**2 - 4*w - 1. Is o(m) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*g + 77*g - 36*g.\nAnswer: 7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*g - 2*g + 5*g)*(20 + 7*g - 20) as w*g + v + c*g**2 and give c.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -9871 or -454129\/46?\nAnswer: -9871","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5322, -5307, -5290, -5271, -5250, -5227, -5202?\nAnswer: -5175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 + 12*a**2 + 13*a - 30. Let j be f(-9). Let k = 1212 + j. What are the prime factors of k?\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 460 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a milligram in micrograms?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + -44. Let x = 43.9 + v. Let h = 4.9 - x. Which is the third smallest value? (a) -4\/3 (b) -0.5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1296 - 632. What are the prime factors of d?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/(y*y\/y**1*y*y))*y*y*y*y)**(6\/5)\/((y\/y**9)\/(y\/(y*y*y**8))) assuming y is positive.\nAnswer: y**(37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 c, and 1 x when four letters picked without replacement from ccpmxqcmcqqccxxq?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 6. Suppose 2*c - 13 = -5*t, 68 - 20 = a*c - 2*t. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 + 112 + 2)*(-7)\/21\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 5*h + 13, 5*u = 3*h + 32 + 13. What is the remainder when u is divided by (6\/(-24))\/(5\/(-60))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3*(-3 + (sqrt(432) - sqrt(432)*-2) + sqrt(432))**2.\nAnswer: -20764 + 864*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2007\/35675?\nAnswer: 2007\/35675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = 9 - 17. What is the third derivative of c**2 - 15*c**4 + d*c**4 - 18*c**2 wrt c?\nAnswer: -312*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -436*u**4 - 455*u**4 - 377*u**4 - 2 - 4*u**2 + 1149*u**4 to the form t + x*u**2 + k*u + c*u**3 + h*u**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/3960 and 85\/144?\nAnswer: 7920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + 217 = 7*f. Does 11 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23132*g**2 - 11572*g**2 - 11445*g**2.\nAnswer: 115*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2993 + -2958. Solve -w*t + 126 = -14*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 23 = 4*h, 56 = 3*g - 0*h - h. Differentiate -4*j**2 - g*j**2 + 15 + 9 - 27*j**2 wrt j.\nAnswer: -100*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2445.9 - 2446. Sort r, -2, -72\/19, 4 in descending order.\nAnswer: 4, r, -2, -72\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:08 PM and 5:18 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(56)*-3)\/sqrt(8) - sqrt(7))**2.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7661337995 and -1.\nAnswer: -7661337996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 9 + 9)*(-2*h**4 - h + h) - 2*h**5 + 8*h**5 - 5*h**5.\nAnswer: -3*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29\/124 + 15\/31. Let l(f) be the second derivative of -j*f**2 + 14*f + 0 - 1\/24*f**4 - 1\/6*f**3. Factor l(v).\nAnswer: -(v + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(8)*4 - (sqrt(1176) - sqrt(24))\/sqrt(12)))**2.\nAnswer: 12*sqrt(2) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -12*c - 39*c. Suppose 4*y + 16 = 0, -2*h + 32 = h - 5*y. Put c, -1, -2, h in decreasing order.\nAnswer: h, c, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of -c**7\/2520 - 11*c**4\/4 + 314*c. Let l(x) be the third derivative of i(x). Let a(b) = -4*b**2 + 2*b. Calculate l(a(o)).\nAnswer: -16*o**4 + 16*o**3 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l + 22. Determine y(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -10.2477416 to the nearest integer.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 1512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8760000 rounded to the nearest one million?\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -3 - ((-2 - 1) + -2). Let n = -12 - -20. Calculate the highest common divisor of z and n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3419086 or -1?\nAnswer: 3419086","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 32098187*r**3 - 43207544?\nAnswer: 96294561*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 235 + 179 = 0. Suppose -22*k = -m*k + 24. Calculate the least common multiple of k and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - 17. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/24 - (0 - 3\/4). Suppose -4*q + r*j + 8 + 4 = 0, -q - 3*j + 17 = 0. Find n such that -n**2 + 2*n**q + n**2 + 16*n**4 + 4*n**5 + 8*n**3 = 0.\nAnswer: -2, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/22 and (2\/9)\/((-2294)\/(-1860)) - (-2)\/(-11)?\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3379\/141 + 14\/47. What is the common denominator of j and -3\/11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 89 - 64. Suppose 7*f - f = -138. Let v = f - -37. What is the remainder when c is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -38921*q + 739522. Give t(19).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396688 is divided by 196.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/8652 and -113\/123649440?\nAnswer: 865546080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4570577093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7131*o**4 + o**2 + 104*o - 11?\nAnswer: -171144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*w**3 + 5*w**3 - 3*w**3 + (-3*w + 3*w + w**2 + 2*w)*(3*w + 3*w - 4*w) to l*w**2 + m*w + k + v*w**3 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 73374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzdjddvdjxvddjzvd. What is prob of picking 1 d, 2 j, and 1 v?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*m + 33*m + 1827*m**3 + 502*m**3 - 11*m.\nAnswer: 2329*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3704721?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 y when three letters picked without replacement from {y: 7, f: 1, a: 1, d: 4, z: 2, r: 2}?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -20 (b) -30 (c) -0.1 (d) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**3 - 12*g**2 - g - 7. Give z(-12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8a409 (base 13) in base 9?\nAnswer: 422447","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u + 5*u - 3*u)*(u - u + 2*u**2)*(-3 + 3 - 1)*((-2*u**2 - 2*u + 2*u)*(0 - 2 + 1) - 4 + 4 - u**2)*(81 + 40 + 115).\nAnswer: 472*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**2\/5 + 220488258*y\/5 - 440976524\/5 = 0.\nAnswer: -110244131, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6 + (-232)\/(-174)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 25*m + 55. Let w be x(-1). Let t be (-8 + 2)*(124\/w + -4). Which is the closest to t? (a) 0.2 (b) 0.4 (c) -5\/3 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, t: 3}. What is prob of sequence tqqq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -2, -1\/4, -1, 0.3 in descending order.\nAnswer: 2\/5, 0.3, -1\/4, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.02 and 12395.76.\nAnswer: -247.9152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 478672 = -16*i. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 424 divide 992551776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssvsvv. What is prob of picking 3 s and 1 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000002880759 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b**3 + 3*b**2 + 3*b + 3. Suppose 63*w = 58*w + 165. Suppose 19*o = -w - 5. Let i(t) = -3*t**3 - 2*t**2 - 2*t - 2. Give o*h(q) - 3*i(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49)\/(1470\/(-36))*((-77)\/1694)\/(3\/(-10)).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) - -3*2*sqrt(85))\/(-1*sqrt(10)\/sqrt(2)).\nAnswer: -7*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -322422422 (base 6) in base 10?\nAnswer: -5726318","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 820421003 rounded to the nearest 1000000?\nAnswer: 820000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 + 30*o - 30. Let x(z) = 5*z**2 + 7*z. Let m be x(-3). What is the units digit of f(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -283*l**2*y**4 + 3*l**2*y**3 - 53*l**2*y**2 - 9*y**2 wrt y.\nAnswer: -6792*l**2*y + 18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33 + -7. Suppose 0 = 5*d + 2*m - q, -m + 5 = 2. Factor -2*n**3 - 2*n**2 - 5*n**d + 3*n**4 - 2*n**3.\nAnswer: -2*n**2*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -5*b**3 - 4*b**2 + b + 4. What is g(2)?\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 48*d**3 - 34*d**2 + 3*d + 13. Calculate h(-3).\nAnswer: -1598","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.38 and 0.03757.\nAnswer: -0.0894166","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 19*z**2. Let p(j) be the first derivative of -4 + 0*j**2 + 400\/3*j**3 + 0*j. Let k(v) = -3*p(v) + 64*s(v). Let t(f) = -f. Determine k(t(r)).\nAnswer: 16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f + 140 = 34*f. Solve 0*i = 3*p + 2*i + 18, 2*p = f*i + 7 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(1728) + sqrt(120)\/sqrt(160))\/(((sqrt(480)*5 - sqrt(480))\/sqrt(8))\/sqrt(10)))**2.\nAnswer: 9409\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 134?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-19 - -20)\/((-2)\/(-4)*-1). What is the remainder when 48 is divided by 6\/t*1\/((-6)\/52)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32 + -27. Put -16, -5, x in increasing order.\nAnswer: -16, -5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -111*r. Suppose -9*y - 4*a = -4*y - 45, -4*y - a = -25. Let i(o) = 0*o - y*o + 2*o + o. Determine u(i(q)).\nAnswer: 222*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (17 + 11 - 26)*((10 + 4*n - 10)*(1 - 3 + 1) - 5*n - n + n) to the form c*n + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-6 - 0)*10\/(-4) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 221900361 a multiple of 430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -120394, -120392, -120390, -120388, -120386, -120384?\nAnswer: -120382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -202100121100010221 - 2?\nAnswer: -202100121100011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86, -7, 146, -1.\nAnswer: -7, -1, 86, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12264 is divided by 24?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 449218113?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -133540.\nAnswer: 1\/133540","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22698289?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3 - 6 - (-6 - -1)) + 3. Let n(g) = -g**2 + 2*g + 16. Let j be n(r). Solve 2*k + 12 + 7 = 5*p, 3*k - 2*p = -j for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*p - 34 = 74. Suppose 2*q + p*l - 75 = 1061, -3*q + 1674 = -4*l. What are the prime factors of q?\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 21535 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:32 PM and 12:41 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -0.6. Let f = 4210\/13 + -324. Let h = -92.4 - -92. What is the nearest to -1 in h, f, c?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 4 in ascending order.\nAnswer: 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 832?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4253, 4246, 4227, 4190, 4129, 4038, 3911, 3742?\nAnswer: 3525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**3*v**2 + 2*q**3*v + 7*q**2*v - q*v**2 - 185*q*v - 2*q wrt q.\nAnswer: 18*q*v**2 + 12*q*v + 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqxxxxqxfxxwbxbxx. Give prob of picking 2 q, 1 b, and 1 x.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2561209614393 and -0.3.\nAnswer: 2561209614392.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 86*t - 185*t + 19 = -476 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -22333955 + 6638.9\nAnswer: -22327316.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 147*g**3 - 14*g + 745. Let a(d) = 146*d**3 - 17*d + 743. Let j(t) = 4*a(t) - 5*o(t). What is the first derivative of j(l) wrt l?\nAnswer: -453*l**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1099862504 to the nearest integer?\nAnswer: 33164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 142303657 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(0 + -2 + 0 + 6*(-2 + sqrt(567)) + -1)*-5)**2.\nAnswer: -364500*sqrt(7) + 4643325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-77)\/77*(624029 - 1)\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4271817 hours in days?\nAnswer: 0.0177992375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.9 - 0.5. Which is the second biggest value? (a) n (b) -0.5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.12 in 0.04, 114, -3, 9, -6\/11, -0.9?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 11*l + 155 + 5*l - 327 - l + 63. Let s be p(8). Calculate the greatest common divisor of s and 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**3\/5 + 36*p**2\/5 - 69*p\/5 + 34\/5 = 0?\nAnswer: 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 3*b**2\/2 - 7592. Let r(w) = -1077*w**2. Give r(l(x)).\nAnswer: -9693*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-105)\/(-14))\/(-3))\/10?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-42)\/(-12) - 5)*100\/6. Let n = 29 + z. Solve -5*d = n*k - 8, 0 = -d + 5 - 1 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(1\/3))**(-3\/35)*(g**(2\/9)\/g)\/g**(4\/9) assuming g is positive.\nAnswer: g**(-403\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.0276, 0, -0.2, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*d = -133534, -2*p = 83*d - 79*d + 53424. Let c be 2\/6*-6 + p. What is c rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide (-720)\/32*(-16)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k**5\/7 - 218230*k**4\/7 + 491054*k**3\/7 - 109124*k**2\/7 = 0. Calculate k.\nAnswer: -27281, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1069 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 + 17998681748277.\nAnswer: 17998681748276.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 14*v**2 + 74*v - 18. Give y(-5).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -8888 and -791096\/89 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1100011010010 (base 2) to base 10.\nAnswer: -6354","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 32*j - 18*j - 2 + 6 - 17*j. Calculate x(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 26 = 5*l. Suppose l*z = 2*z + 220. Suppose -5*h = w + w - 46, -5*w + 30 = 4*h. What is the greatest common divisor of z and h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4.0724 and 149.\nAnswer: 144.9276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 5*m**2 - 6*m - 1. Let u be q(-6). Suppose -3*o + 4*o = 2. Let v = u + o. Solve h + 3*l = 2*l - 5, 2*l = h - v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 - 2704*k - 101441. Determine i(-37).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1963, 2343, 2939, 3859, 5211, 7103, 9643?\n\"Answer: 18*t**3 + 254*t + 1691","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -746639986*v**2. Let d(u) = u**2. Give j(d(q)).\nAnswer: -746639986*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of v**5\/60 + 5*v**4\/24 - 3*v**2\/2 + 1. Let y(t) be the second derivative of s(t). What is the second derivative of y(j) wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*2 + 3 - (-16)\/32.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 13*u**3\/4 + 147*u**2\/2 - 996*u - 640 = 0. What is u?\nAnswer: -32, -8\/13, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qlolcdgdqqdlo. Give prob of picking 1 g, 1 l, and 1 d.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(4 + -1 + (sqrt(242) - (sqrt(242) - sqrt(242)*-2))*-3 + ((sqrt(242) - sqrt(242)*2) + 1 - sqrt(242))*-5 + -3).\nAnswer: -176*sqrt(2) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 19 = 2*k. Let c = 49 + k. What is the highest common divisor of 12 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of -u**4\/8 - 5*u**3\/3 - 587*u**2. Let g be (0 + 8\/3)*-3. Let i be b(g). Solve q = w + 6, 3*w - 2*w - i = -3*q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49460 or 1456?\nAnswer: 1456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20680?\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 - 7*l - 7. Let c = -15 - -23. Let f be h(c). What is the tens digit of 61\/f + (-8)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x**3 + 29*x**3 + 2*x**3)*(6 + 3 + 2) in the form p*x + z*x**3 + o + c*x**2 and give z.\nAnswer: 385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 120267 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -21*b**2 - 28*b + 891. Let d(o) = 11*o**2 + 16*o - 445. What is 7*d(q) + 4*w(q)?\nAnswer: -7*q**2 + 449","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 i when three letters picked without replacement from {e: 3, p: 1, y: 2, i: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -39592*g + 3333. Let p(t) = -107*t + 9. What is 6*j(b) - 2222*p(b)?\nAnswer: 202*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1307075?\nAnswer: 5, 7, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 0.1, 4, 218, -3\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17697 + 88487\/5. Which is the fourth biggest value? (a) -4\/5 (b) m (c) 1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 313, -25, 2 in descending order.\nAnswer: 313, 2, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 234 = 244. Let f = x + -3358\/7. Let s = -2 - f. Which is the biggest value? (a) -0.4 (b) 3\/5 (c) 1\/4 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (220\/(-200)*-5)\/(3135\/380).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0466 take away 2095215106?\nAnswer: -2095215106.0466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -11*j - 12. Let i(b) = -5*b + 18. Let u be i(4). Let v be h(u). Solve -2*a + 0*a = -v for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 694 + -689. Solve -d = 5*x + 14, 0 = -x + 6*d - 4*d - q for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 5) to base 2.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = f - 6. Let o(l) = l**2 - 3*l - 4. Determine o(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 - 3*j**5 + j**5 + (0*j**2 - j**2 + 2*j**2)*(-58*j**3 + 55 - 55) + j**5 + 5*j**5 - 2*j**5.\nAnswer: -56*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((30\/5)\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of u**6\/200 + u**5\/100 - u**4\/20 - 3*u**2\/2 + 2. Let l(d) be the second derivative of r(d). Factor l(p).\nAnswer: 3*p*(p - 1)*(p + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 30*u - 631. Calculate b(-36).\nAnswer: -415","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3030 - -9231. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*q - 66 = -32*q. Calculate the remainder when 52 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -11. Let c = -9 - -10. Suppose 0*n = n - c. Solve -7 = -l + r*l + 5*q, q = -l + n for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m**4\/m)\/m)\/m)\/m*m)**(2\/3)\/(m**3\/m)**(3\/4) assuming m is positive.\nAnswer: m**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86995\/14 + -6219. Let l = 1\/17 - -1135\/68. What is the common denominator of d and l?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 603*h**2 + 286*h**2 + 730*h**2 in the form d + f*h**2 + c*h and give f.\nAnswer: 1619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1*606\/(-6)*1 + 3. Suppose 0 = 12*p - 38*p + o. Solve l = -3*l - p*k - 20, 0 = 4*l - 2*k + 14 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2287 + 34?\nAnswer: -2253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 10. Let v be q(8). What is the units digit of 8\/6*3\/v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 11:07 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11 or 2\/109?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 48 = 5*o + 21, 4*h - 2*o - 106 = 0. Let p = h - 26. Solve -2*a = -s + 13, a = -p*a - 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 25*x = -99*x - 2451 for x.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1420 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3*v + 30. Let c be d(7). Suppose 164*z = 165*z - c. What is the lowest common multiple of z and 62?\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the first derivative of x**6\/120 + 2*x**5\/15 - 5*x**4\/12 + 2*x**3\/3 - 2*x**2 - x - 7. Let l(d) be the second derivative of p(d). Calculate l(-9).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 993*-16624\nAnswer: -16507632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1071294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + l = -3*h + 176, -352 = -4*h - l. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 14. Let i(q) = -q - 3 - 3*q**2 + q - p*q + 0*q**2. Determine i(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -445.99999386 - -446. What is m rounded to six dps?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -45 + 40. Is -1 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 131 (base 10) to base 8.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/16 and (-166)\/(-48)*(11 + -9).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 804657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28 - 13. Suppose 0*j + q = 3*j. Suppose -j*l - 4*c + 43 = 0, 3*l + 2*c = 2*l + 11. What is the remainder when 19 is divided by l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/a**(-3\/10))\/a*a*a))\/(a*a*a\/(a\/(a\/(a*a**0)))*a))\/((a*a**(4\/3))\/((a*a\/(a*a**(-8)*a))\/a)) assuming a is positive.\nAnswer: a**(11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/16 in -2, 0.4, 334, 1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -895770 divided by 3330.\nAnswer: -269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 13*m - 427. Let t be r(38). Which is smaller: 68 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 16*u + 19. Let g be y(-6). Let p = g - -186. Calculate the remainder when p is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1914284 divided by 478571.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73 - 845 - 2)*(q - q + q**2).\nAnswer: -774*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -93\/11420 and -81\/3215872.\nAnswer: 16079360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 88.11 + -87. Let c = -57.11 + t. Let x = 57 + c. What is the nearest to x in 0.4, 2\/7, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*a - 19*a - 73*a - 2*a as k + g*a and give g.\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 2\/7 (b) -0.5 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1118*a**3 - 574*a**2 - 3*a - 461 - 460 - 3*a**4 + 1385 - 462 wrt a.\nAnswer: -72*a - 6708","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -2*d**3 - 17*d**2 + 285*d + 2349. Determine s(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/401 + 757\/2005. What is the nearest to 2\/25 in 2\/9, h, -14\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 495363 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 263*d - 4424*d**2 - 409*d**2 - 263*d.\nAnswer: -4833*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -347 = -2*m - 3*l, 5*l - 233 + 938 = 4*m. Let y be ((180\/(-25))\/2)\/(15\/(-2350)). Let v = y - m. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*w = -8, 4*w - 41 = -2*h + 3*w. Let z = h + -21. What is the biggest value in 1\/61, z, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 - (14 + -1) - 176?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 271582 by -502.\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152 + -141. Calculate the highest common factor of c and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3387608 <= 3387608?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23 + 13405?\nAnswer: 13432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from jaduhuaxjjujja?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30.62194 and 0.4.\nAnswer: 12.248776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -2*(0 - -1). Let b be (-14)\/(-8) - d\/(-4). Let v be (-2 + b)\/((-2)\/(-2)). Solve 0 = -3*r - w + 7, -4*r + w + 7 = -v*w for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -179, -738, -1669, -2972, -4647, -6694?\n\"Answer: -186*i**2 - i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/2)*b)**(-1)\/(b**(-1\/2)*b*b)**(-3\/11) assuming b is positive.\nAnswer: b**(10\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11539 or 11506?\nAnswer: 11506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-14)\/98 - (344\/7)\/(-1). Suppose 6 = -47*y + z*y. Suppose -28 = y*o - 7*o. Solve -2*w - 3*p = -0*p + o, 0 = 5*w + 3*p + 4 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) 3\/8 (c) -1\/8 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(90)\/sqrt(5) - (sqrt(24)*2)\/sqrt(12))*-5)**2 + -4.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4*n + 96 = 0, -n + 73 = 3*m - 176. Calculate the highest common factor of m and 357.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hm when two letters picked without replacement from {h: 1, m: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -171842389448 + 0.08\nAnswer: -171842389447.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 24 + -35. Let n = 10 + z. What is the tens digit of (-10 + n)*6\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 106 divide 705536?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 892 + -638. Suppose -34*d + 2600 = g. What is the greatest common factor of 23 and d?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -4*v + 1. Let x(s) = 3*s - 1. Suppose 0 = -45*t - 2163 + 2343. What is t*x(r) + 5*o(r)?\nAnswer: -8*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*sqrt(35)\/(2*sqrt(20)).\nAnswer: -5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/650 and 33\/1216.\nAnswer: 395200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/2*(134 + (-4 - -2)). Let z(n) = -61*n**3 + 2*n**2 - 2*n + 1. Let q be z(1). Let c = q + g. Solve 3*s - c = -u - u, -6 = -3*u - 3*s for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3535916.44 to the nearest 100000.\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37587 = -0*u + 3*u - 3*m, 5*m = 10. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 divided by 3122?\nAnswer: 97\/3122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the third derivative of -l**7\/420 + 3*l**6\/40 - 2*l**5\/5 + 23*l**4\/24 - 5*l**3\/4 + 2*l**2 + 3*l. Determine u so that q(u) = 0.\nAnswer: 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 883679, 883680, 883681, 883682, 883683, 883684?\n\"Answer: j + 883678","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, c: 1, n: 10, b: 4, d: 1}. Give prob of picking 1 n and 3 s.\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -41324184 (base 9) to base 6.\nAnswer: -1545332551","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/30*5\/(-6). Let v(n) = -n**3 - n + 4. Let q be v(0). Suppose -j - j = q. Which is the nearest to 0? (a) j (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10511928.\nAnswer: 2, 3, 7, 20857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 0*h**2 + 5*h**2 - 33*h + 3*h**2 - 7*h**2 - 108 + 12. What is the tens digit of a(50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-220)\/25 - 3 - (-13)\/(-65) - 1.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k**2 - 279495*k + 12769290 = 0 for k.\nAnswer: -8031, 318\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -0.1 (b) -1\/8 (c) -2 (d) -81 (e) 2\/317\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.02, -2\/3, -4, -5, 8701, 1\/9 in decreasing order.\nAnswer: 8701, 1\/9, -2\/3, -2.02, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.003 + 0.00271. What is c rounded to four dps?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8083?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 40253 at most -968?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8*((-2)\/(-4))\/(-3 - -2). What is the hundreds digit of ((-1)\/(9\/(-654)))\/(i\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3613543 - -1?\nAnswer: -3613542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.5 from 2.6810051.\nAnswer: 2.1810051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*g**2 + 164*g**3 - 2*g + 2*g**4 - 27*g**2 + 0*g**4 - 4 - 3 - 168*g**3 in the form x*g**2 + c*g**3 + k + u*g + d*g**4 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 151317 and 215?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 = 14*l - 0*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 5*p = 0. Suppose p = 4*s - 6 - 242. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-46)\/10 - -5)*10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 96 and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000011335615 to 6 dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -175971, -175853, -175699, -175509, -175283, -175021?\n\"Answer: 18*q**2 + 64*q - 176053","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/77? (a) -0.2638 (b) 0.3 (c) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -713, -714, -723, -746, -789, -858, -959?\n\"Answer: -d**3 + 2*d**2 - 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*n + 254 = -y, 15 = 5*n. Let j = 574 - 573. Let o(b) = 28*b**2 + 10*b - 12. Let g be o(j). What is the greatest common factor of g and y?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-2)*(w*w**(-2)*w)\/w assuming w is positive.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -16*y**3 + 2912136*y**2 + 1456071*y + 182009 = 0.\nAnswer: -1\/4, 182009","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/3 - (-35)\/(-105))*-3. Let z = 944\/5 - 188. Which is the closest to 1\/5? (a) z (b) -1\/7 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -28035 + 2a8?\nAnswer: -27949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*w = 2*q - 33, q + 3 = 2*w. Suppose 0 = -r - 4*k - k - 27, k - 161 = q*r. Let f = 119 + r. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 942699686 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 12:30 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 670, 669, 668, 667?\n\"Answer: -j + 671","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + w**2)*(4*w**2 - w**2 - w**2) + (-4*w - 14 + 14)*(-3*w**3 + 10 - 12 + 0*w**3).\nAnswer: 14*w**4 + 8*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*sqrt(1008).\nAnswer: -12*sqrt(7) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j + 40 - 33 = 45. Which is greater: -420 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6b47 (base 14) in base 11?\nAnswer: -13045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2978 smaller than -2980?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 12*w**3 + 8*w + 10. Let q(y) = -597*y + 12. Let t be q(1). Let g be (11 + t\/52)*(4 - 0). Let k(s) = s**3 + s + 1. What is g*b(f) + 10*k(f)?\nAnswer: -2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 1154.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -904*b**2 - 630*b**2 - b + 2413*b**2 - 903*b**2 + b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 - -110010?\nAnswer: 110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -82*j**2 - 2*j*u**2 + 2*j*u - 241*u**2 wrt j?\nAnswer: -164*j - 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298690 is divided by 3128?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 a when four letters picked without replacement from {a: 3, e: 12}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 381.8849 micrometers in kilometers?\nAnswer: 0.0000003818849","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 4*w + 4. Let g be (-10)\/15*(-18)\/(-4). Let z be b(g). What is the remainder when 17 is divided by 18 + z - (-5)\/1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19306.\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 317 is divided by 168?\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/60*470\/(-423)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1948, 3076, 4204, 5332, 6460?\n\"Answer: 1128*x + 820","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpdpdddpppdpddpd. Give prob of picking 1 d and 2 p.\nAnswer: 27\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1298 by 176.\nAnswer: -59\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(-21)\/((-63)\/9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c + 17*c - 7*c)*(-3*c**4 + 2 + 1 - 1).\nAnswer: -21*c**5 + 14*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 801869, 3206983, 7215349, 12826973, 20041861, 28860019, 39281453, 51306169?\nAnswer: 64934173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w**2. Let u(p) = -2*p + 1. Let h(k) = k - 1. Let z(l) = h(l) + u(l). What is z(t(d))?\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - 3*u + 2. Let f be q(1). Put -4, f, 5, 2 in ascending order.\nAnswer: -4, f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1747889 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 55?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22222*u**3 - 5*u + 11150*u**3 + 5*u + 11127*u**3.\nAnswer: 55*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-213686)\/35320)\/(4\/80).\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326784 = -478*g - 6626*g for g.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000849609254 to six dps.\nAnswer: -0.000085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 8*t**2 - 37*t + 12. Is s(14) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -120, -121, -120, -117, -112?\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 161*f - 257*f - 292*f + 3075 + 15161 = 0 for f.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15513981?\nAnswer: 3, 7, 31, 23831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 58035?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1211111211 - 12?\nAnswer: -1211112000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -226+-0.08\nAnswer: -226.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2614634110?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.1516935 - -4.152. What is w rounded to 4 dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + sqrt(637) + -3 + -5 + -1*sqrt(637))**2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*j**2 - 1353 + 450 + 24*j**2 + 454 + 449.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -9*q**2 - 2*q - 6. Let s(o) = 4*o**2 + o + 2. Give -2*f(x) - 5*s(x).\nAnswer: -2*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + x)*(6 + x - 6)*(-32 - 99 + 11).\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 709.9 and 3.\nAnswer: 2129.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14466 divided by 1.\nAnswer: -14466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*h + 4*s + 28 = -36*h, 7 = -3*h - 4*s for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33847 is divided by 720?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/6*l**5 + 0*l**3 + 1\/3*l**4 - 1\/3*l**2 + 1\/6*l + 0.\nAnswer: -l*(l - 1)**3*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1628 or -1629?\nAnswer: -1629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 6:27 PM?\nAnswer: 6:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84480 and 8192.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 664\/(-12)*(-12)\/32 and 2\/9?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27322427.\nAnswer: 11, 409, 6073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -191792, -191802, -191812, -191822, -191832?\n\"Answer: -10*j - 191782","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1922132335 to the nearest integer?\nAnswer: 43842","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23 (b) 45 (c) 7\/158\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 11\/2 + (-1)\/2. Suppose b*a = a - 17955. Let o = -21473\/6 - a. Calculate the common denominator of -31\/8 and o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60599476 a multiple of 196?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 57*s - 853. Determine i(-39).\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -23 and 6970.\nAnswer: 6947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67305 and 4381235?\nAnswer: 3205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*4*(-13)\/104*46?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6106123149?\nAnswer: 3, 7, 4813, 60413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = w. Suppose w*y - 143 = -y. Suppose -2*n + 5 = -21. Calculate the highest common factor of n and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/c**2)\/(c\/(c*c**(-2))))\/(c**(-2\/9))**(11\/3))**(-28) assuming c is positive.\nAnswer: c**(1652\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -786635.7 rounded to the nearest one hundred?\nAnswer: -786600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdaq. Give prob of sequence da.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(55)\/sqrt(5) + -5)**2 - ((5*sqrt(121) + sqrt(121))*-3)\/sqrt(11).\nAnswer: 8*sqrt(11) + 33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 times 0.14?\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 4:01 AM?\nAnswer: 5:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-13)*k**1\/k)**(-1)*(k\/(k*k**(3\/5))*k**(-8)*k)\/((k**(-2\/9)\/k)\/k**(-2\/3)) assuming k is positive.\nAnswer: k**(268\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 469307?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4*r + 10 = 0, -10 - 5 = -3*r. Let z(l) = 16*l**2 + 20*l - 19. Is z(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*u + 98*u - 417 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21972, -43956, -65940, -87924, -109908?\nAnswer: -131892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + (-7 - -43) + (-8 - 12) + 14?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -10\/22361 and 49\/972084.\nAnswer: 368419836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14 - 1432?\nAnswer: -1413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3525 - -3525. Put 1, 11, -0.15, -1\/12, m in descending order.\nAnswer: 11, 1, m, -1\/12, -0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 + (-1 - 1\/(-1)). Suppose -4*a + m = -s - 0, -5*m - 5 = 0. Factor -o**2 - 3*o**3 + o**a + 3*o**2.\nAnswer: -2*o**2*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 7 = -3*t, 4*t = -4*f - 0*t + 4. Calculate the smallest common multiple of 10 and f\/(-7) + 624\/28.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -26286588*c**4 + 32*c**3 + 26286588*c**2 - 32*c = 0. What is c?\nAnswer: -1, 0, 8\/6571647, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (142 - (17 + 122)) + (1 + 1 + -1 - -3).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 2 + 0)*(2*p - 5*p + 2*p) - 5*p - 2*p - 2*p - 2*p + 3*p + 0*p)*(-2*p**3 - p**3 + 4*p**3).\nAnswer: -6*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16, 16, 46, 56, 28?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 133.6 and -299700.\nAnswer: -40039920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -28 divided by -187\nAnswer: 28\/187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -27*v**3. Let x be 9\/6 - (-1)\/2. Suppose -18*j + x = -20*j. Let h be u(j). What is the highest common divisor of h and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t - 189600 = 28*t. What is t rounded to the nearest one thousand?\nAnswer: -32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 116, -348.2, 4, -2\/21, -0.5 in descending order.\nAnswer: 116, 4, -2\/21, -0.5, -348.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - j - 28 = 0, -4*j = -4*s - 54 + 46 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (6 + -3 + 0)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*f - 5*u + 172, 2*f - 2*u - 100 = 0. Let b = f - 31. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73 - 57. What is the remainder when 141 is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7470*t**2 + 7472*t**2 - 2432*t - 2438*t + 7301*t - 2431*t.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -360223809*h**2*n**3 - 241*h*n**3 + 49*h*n + 5*h + 20*n**3 - 2*n - 3 wrt h?\nAnswer: -720447618*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1705598, 1 in decreasing order.\nAnswer: 1705598, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 8*n**2 - 3*n + 2. Let z(p) = p**2 - 1. Let u = 10 + -11. Let b(l) = u*z(l) + k(l). What are the prime factors of b(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*i - 22*l - 11*l - 24 - 9, 24 = 4*i + l + 2*l for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -76*y - 5. Let p be w(5). List the prime factors of p*(4 + (-88)\/20).\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 37*h**2 + 36*h + 2. What is u(-38)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1727039145 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 1 + 2 + 3 - 4*t**2 + t. Let u be l(-6). Let n = -7 + 14. What is the highest common divisor of u and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803 is divided by 236?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q + 24245 = 22*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 12:46 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 217642 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -11090000 to the nearest one hundred thousand.\nAnswer: -11100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 666 = n, 2*n - 980 - 5 = -3*d. Round d to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*l - 7 - 21 = 0, -140 = 5*h + 4*l. Let f = -6 - h. Calculate the common denominator of 17\/4 and (-4)\/(-8) - f\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -2*d - 349, -5*u - 5*d + 6*d = -347. Let s = -46 + u. What are the prime factors of s?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*c, -5*c = -5*p + 163 + 27. Which is smaller: p or 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + 9*v**2 - v + 13. Let r = 206 + -137. Let j = -60 + r. Calculate t(j).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -359 = 3*n - 4*w, 3*n - 5*w + 94 = -267. Suppose -4*s - 4*o = 2 + 2, -o - 19 = 4*s. List the prime factors of ((-2)\/s)\/((-3)\/n).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11341 is divided by 83.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 2816?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 1549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01405 to 4 dps.\nAnswer: -0.0141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*w + 55 - 82*w + 37*w)*(-2 + 7 - 1).\nAnswer: 12*w + 220","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13154 and 66310.\nAnswer: 436120870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.2 + 4.88. Let h = -0.12 - n. Round h to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -1158065420?\nAnswer: 1158065420.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(20\/6 - 5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-4)\/8 + (0 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/6215737 or 1?\nAnswer: -4\/6215737","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (-8 - -3) - 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4268 - 4267.7. What is the biggest value in -1\/2, q, -347.5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + -38. Let j = 18 + a. Let s be -2*(1 + (-6)\/7). What is the third smallest value in j, s, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(126)\/(sqrt(2)*2) + -4*(sqrt(63) + sqrt(126)\/sqrt(2)))\/((((sqrt(9) - (2*sqrt(9) - sqrt(9))) + sqrt(9))*5 + sqrt(9))*-5))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4392118733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -7459 * 3\nAnswer: -22377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 - 10*n - 14 - 18 to l*n + t and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2365503 + -200?\nAnswer: -2366003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**3 + 11*s**2 - 41*s + 2. Let k be j(3). Let r(y) = 5*y + 0*y + y - 5*y - 3. Let f be r(k). Solve 2*a + 2*q - 7*q + 28 = 0, f*a + 24 = 4*q for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16012*t - 1495 = 15947*t for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 15) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157919*q + 30 = 157921*q, -4*s + 48 = 4*q for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 16*x - 18*x = -862, 2*x = -2*b + 346. Calculate the least common multiple of b and 18.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5 + (-1 + sqrt(99) - sqrt(99)) + -1 + (-4 + sqrt(99)*2)**2).\nAnswer: -144*sqrt(11) + 1245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 15432 divided by -6\nAnswer: -2572","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 621203893 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**4\/6 - s**3 + 3*s. Solve z(n) = 0 for n.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2 + 8*m + 5. Let r be o(3). Let n be 6 - 0*r\/8. Suppose 4*c - n*c + 66 = 0. Calculate the smallest common multiple of 27 and c.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + (12 - (23 + -12 + 12)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9093468 is divided by 718.\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 369196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 23 - 21. Suppose u*s = 3*s + 52. Let w = 87 + s. What is the remainder when 104 is divided by w?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 5*f + 2*v, 161*f - 164*f - v + 3 = 0. Solve 7*x + f + 19 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 - -5. Let h = 26 + u. Calculate the greatest common divisor of 2 and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167649487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 2*a + 2 + 8, -2 = 2*a - 3*y. Solve 7*h = a*h - 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l. Let x(d) be the third derivative of 11*d**4\/24 + 17*d**3\/6 + 251*d**2 - 2*d. What is x(c(k))?\nAnswer: -11*k + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -1059246.6 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z**2 - 97*z - 360. Let i be o(-5). Let s(r) = -r**3 + 7*r**2 + 8*r + 13. Let a be s(8). Solve 5*w - 3*t - a = -i*t, 3*t - 32 = -4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1035540 and 113\/1540?\nAnswer: 7248780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**2 + 2*b**2 - 1 + 1. Let q(h) = -8*h**2 + 26*h + 13. Let c(n) = -3*n**2 + 12*n + 6. Let l(i) = -13*c(i) + 6*q(i). Determine l(g(d)).\nAnswer: -81*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 81\/18*3\/(-207)*3*(-32)\/18?\nAnswer: 8\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q**4 + 2127*q**3 - 384786*q**2 + 19665828*q + 132310584 = 0 for q.\nAnswer: -6, 126, 463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -3*l - 22, 2*l - 528 + 521 = -3*r for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -15031.2 rounded to the nearest one thousand?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r - 1. Let s(i) = i. Let v be s(4). Let w be g(v). Let u(m) = 446*m - 3566. Let c be u(8). Solve c = z - w for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 - 41 = 20*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13452\/(-354)*7\/(-19)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -32, 0.26, 0.08, -0.37?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265 - 300 = -7*x. Suppose -2*u + 4*h + 14 = 0, h = 2*u + x*h - 30. Solve -24 = 5*z - u*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) -4 (c) -3 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((-1*sqrt(114) - sqrt(114)) + sqrt(114) - sqrt(114))*6*4)\/(4*sqrt(54)\/(sqrt(54)\/sqrt(6))*-3).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 301*k**2. Let f(u) = -u**2. Determine a(f(i)).\nAnswer: 301*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -7*g**3 - 3*g**2 - 10*g - 4. Let i(b) = 4*b**3 + b**2 + 5*b + 2. Let l(o) = 2*o - 2. Let v be l(6). Let y(c) = v*i(c) + 6*d(c). Factor y(f).\nAnswer: -2*(f + 1)**2*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = s**2 + 16*s + 9. Suppose 4*j - 23 = 4*b + 57, j - 4 = 0. Let n be k(b). Solve -5*v - 16 - n = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (0 + -3 - -7 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 5, -3326, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -369 + 371. Find the third derivative of 154*n**3 + 118*n**3 - 214*n**3 + 27*n**p wrt n.\nAnswer: 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(-8)\/(-12) + -41. Let v = 91 + t. Suppose -5*n = -z + 41, -7 = -2*z - 4*n + 5. What is the greatest common factor of z and v?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29562632 divided by 1343756?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22 - 311330330?\nAnswer: -311331012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -660911948 + -170.\nAnswer: -660912118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 18 = 3*t, 6*j = 3*j + 2*t - 19. Let d(x) = 2*x**2 + 2*x - 4. Let w be d(3). Let n = w + j. Solve 3*r = 2 + n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*r + 49*r + 35*r.\nAnswer: 122*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 126224874 divided by -1198\nAnswer: -105363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 9*d - 3*d**2 + 16 - 17)*(-2*d - 2*d + 9*d).\nAnswer: -10*d**3 + 45*d**2 - 5*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 1477*i - 153*i**2 - 106*i**2 + 3*i**3 + 1361 - 5693 + 28*i**2 + 3083*i = 0.\nAnswer: 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5117, 5114, 5111?\n\"Answer: -3*s + 5120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69777356?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 315139083?\nAnswer: 3, 7, 401, 37423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37651484*k**3 + 3624*k**2 - 28*k.\nAnswer: 225908904","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) 0.1 (b) -0.14 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11781 and 1056.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1329441?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 70\/3*j**2 - 100*j + 120 - 5\/3*j**3.\nAnswer: -5*(j - 6)**2*(j - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-6 - -7) + 9\/5)\/((-56)\/(-140))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 18. Let n(k) = -k**3 - 10*k**2 + 11*k + 1. Let d be n(g). Which is smaller: d or 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 243 and 3051?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4999546*d**2 + 1363087 wrt d.\nAnswer: -9999092*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17273*g**3 - 31723*g**2.\nAnswer: 103638","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 5:05 PM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 - 7*n**4 - 21*n**4 + (0*n**4 + 0*n**4 - 2*n**4)*(-1 + 1 + 1) + (n - n - 4*n)*(8*n**3 - 3*n**3 + 0*n**3).\nAnswer: -50*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23509*i*m**3 + 2*i*m - 9*m**2 - 16 wrt m.\nAnswer: 141054*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**3 + 4*q**3 - q**3 + 6*q**3 - 4*q**3 - q**3 + (1 + q**3 - 1)*(1 - 2 - 1) + 32*q**2 - 32*q**2 - 3*q**3.\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.1 + -3.1. Let u = 63 + -65. What is the biggest value in u, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (9 - (-212)\/32)*1\/(-5) and 25\/22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*n = 5*t + 51*n - 16, -2*t = -n - 7. Let u(s) be the second derivative of -1\/8*s**3 + 1\/48*s**4 - 1\/2*s**2 + 0 - t*s. What is i in u(i) = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + (6 - (-12 - -31) - (-4 + -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-234)\/189)\/13 - ((-30504)\/(-2520) + -14).\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 77*r**2\/2 + 39*r + 1\/2.\nAnswer: (r + 1)*(77*r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/27)\/(3*(-3)\/(-27))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/2 - 0\/(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*k = -102*k - 5865 for k.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1339*a - 2698*a + 1370*a.\nAnswer: 11*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 351, 331, 311, 291, 271, 251?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/37, -0.28, 0.3 in decreasing order.\nAnswer: 0.3, 7\/37, -0.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6521 - 6523 - 7651*v - 6519 + 26082 - 6519.\nAnswer: -7651*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 10520000 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.0715994 rounded to 0 dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4323 + -3557. What is the remainder when h is divided by 157?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 PM and 12:24 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 4632*p + 9498. What is a(-2)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3154 divided by -5.\nAnswer: 3154\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (54\/63 - 544\/112)\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 0.13 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -238 - -122. Let p = 393 - g. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(7\/2)\/v)\/v)\/(v*v**(-2\/11)*v)*(v**(1\/3))**(30\/7)*(v**(2\/3))**(-5\/12)*v**0*v*v*v**5*v assuming v is positive.\nAnswer: v**(6121\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*s + 10*s = -4. Let h(u) = -5*u**2 - 2*u - 1. Let t(w) = -w**2 - w + 1. What is s*h(g) - 3*t(g)?\nAnswer: -2*g**2 + g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3365456689?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*z - 18. Suppose 1020000 = -z*w + 8*w. What is w rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - c - 2. Let k be o(2). Suppose k*f = 252 + 224. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.181 + 0.519. Let t = -9.5 + 9.4. What is the closest to 1 in t, k, 0.04?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**5\/4 + 9*j**4\/2 + 153183*j**3\/4 - 38300*j**2 = 0?\nAnswer: -383, 0, 1, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**4 - 90*z**3 - 831*z**2 - 2340*z - 2028 = 0.\nAnswer: -13, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 107? (a) -2 (b) 7 (c) -0.5 (d) -5 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}