diff --git "a/data/dm_maths/full_data_1/10650_11255.jsonl" "b/data/dm_maths/full_data_1/10650_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10650_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the value of -1 - 6 - (-19 - (-6 + -16))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9397*a**5 - 378*a**4*k + 1041*a**2*k + 2*a**2 + 8*a*k - 12*a + 2*k - 1 wrt a?\nAnswer: 563820*a**2 - 9072*a*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -187505*h*j**2 - 2*h*j + 12304*h + j wrt j.\nAnswer: -375010*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - v**3 - v**3 + 5*v**4 + 11 - 17 as n*v**3 + h*v + a + d*v**4 + m*v**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -17, -1, 4, -301, 2 in ascending order.\nAnswer: -301, -17, -1, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 2 + 10)*(-4*y**2 + 2*y**2 + y**2 - 3*y**2 - 8*y**2 + 18*y**2 + (2 - 2 - 3*y)*(y + 0*y + 0*y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 6 = -4*m. Suppose 5*b = 3*f - m + 32, -f + 9 = 3*b. Find the third derivative of b*h**2 + h**4 - 5*h**4 + 13 - 13 wrt h.\nAnswer: -96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 2. Let d be (-270)\/(f*3\/6). Round d to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 s when two letters picked without replacement from {a: 3, s: 1, j: 2, e: 4}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*c - 2. Let m(u) = u**2 - 192*u + 758. Let n be m(4). Put c, 1, n in decreasing order.\nAnswer: n, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5510*t**2*y**2 + 706*t**2*y + 4*t**2 wrt y.\nAnswer: 11020*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14 + -11. Suppose 2*h + 13 = s*o + 3, 0 = 5*h - 5. Sort 2\/3, o, 0.2 in decreasing order.\nAnswer: o, 2\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 275 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwjewwwggwgw. Give prob of picking 2 g, 1 e, and 1 w.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -84 - -84.5. Let j = -609.04 + 620. Let p = -11 + j. Which is the nearest to p? (a) 0.4 (b) i (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/12*(-1 + -2). Let h(u) = u**2 + 24317*u**3 + 1 - 24316*u**3 - 2. Calculate h(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*w**2 + 46 + 10 - 2*w + w.\nAnswer: 102*w**2 - w + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-9))\/(15\/72)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5630 (base 12) to base 5\nAnswer: 301130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 - -3) - (-1 - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = 4*p + p - 9, 5 = 5*p for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1.7*36212\nAnswer: -61560.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k*(k**(-1\/2)\/k)\/k*k*k*k*k)*k\/k**(-2\/5)*k**(2\/29)\/k*k**(-24)\/k assuming k is positive.\nAnswer: k**(-7839\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 11*l**2 - 7*l - 25. Let t(r) = r**3 + 11*r**2 - 8*r - 25. Let p(w) = 5*a(w) - 6*t(w). Calculate the least common multiple of p(-12) and 8.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110015033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 10:30 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169363b (base 13) to base 14.\nAnswer: d87531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1148 or 1183?\nAnswer: 1183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -29*k - 367. Let n be m(-14). Let z = 83 + n. What is the remainder when z is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 201507 + -31?\nAnswer: 201456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -6*t**2 - 76*t - 61. Determine y(-12).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17\/167 or 0?\nAnswer: -17\/167","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225555 is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, n: 3, e: 1, a: 2}. Give prob of sequence au.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21*q**2*w**3 - 2*q*w**3 - 3*w**3 wrt q?\nAnswer: -42*q*w**3 - 2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 3:25 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 70 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 b, and 1 z when three letters picked without replacement from hbhhzbl?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -7*y**2 + 4*y - 6. Let v(h) = -18*h**2 + 12*h - 18. Let q(p) = 8*r(p) - 3*v(p). Factor q(b).\nAnswer: -2*(b - 1)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -11\/180 and 157\/126?\nAnswer: 1260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*p**2\/2 - 1474*p + 981339\/2.\nAnswer: -(p - 219)*(7*p + 4481)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 97562657?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from {d: 1, w: 3, y: 1, q: 1, b: 1, p: 6}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) 6\/11 (c) 766 (d) 3 (e) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -53*y**6 - 2*y**3 - 300*y**2.\nAnswer: -6360*y**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -21951, -3, -1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 534*k. Let r(g) = -161383*g**2. Calculate v(r(c)).\nAnswer: -86178522*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74bd (base 14) to base 4.\nAnswer: 10322333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-16)*(-72)\/4698*-18.\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15.55 - 3.75. Let g = -16 - p. Let k = -3 + g. What is the second biggest value in 0, k, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6*x = 4. Let p = 23 + -8. What is the remainder when p is divided by x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*l + 67 + 113. Suppose 26 = -w - 3*p - l, -4*w = p + 140. Let r = w - -31. Put 4, -7, r in ascending order.\nAnswer: -7, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 14, 70621 = 6*z + 4*c - 9*c. Is 46 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 18, -0.34, 2\/7, 0.3, 424\/25 in increasing order.\nAnswer: -0.34, 2\/7, 0.3, 424\/25, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3524 (base 11) to base 7\nAnswer: -16324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2295778042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 26685 - 26685 - 728*b + (-6*b + b + 15*b)*(0 - 2 + 0).\nAnswer: -748*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 2*x - 4 = 0, 2*r + 3*x - 3 = 6. Let a(n) be the first derivative of -3*n + 0*n**2 - 4\/3*n**3 - r. What is the first derivative of a(j) wrt j?\nAnswer: -8*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.49651 rounded to one dp?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0394898 minus 0.301575?\nAnswer: -0.3410648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 66114829 divided by 389?\nAnswer: 169961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 39 = 9*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*f**2 - 24*f**2 - 28*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 701412 is divided by 24184?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.590789 litres?\nAnswer: 2590.789","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b**3 - 156*b**2 + 162*b**2 + 2*b**4 - 2*b + 4*b**4 to the form o*b + i + j*b**2 + q*b**4 + c*b**3 and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 10*y + 4. Let j = -1103 + 1101. Let m(o) = -o - 1. What is j*c(l) - 18*m(l)?\nAnswer: -2*l + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.531 plus -0.1?\nAnswer: -2.631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-144)\/(-28)*504\/(-144)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24 + 84 - 141 + 81 - 270*k.\nAnswer: -270*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1919 and 202.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 6, o: 4}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 - 2*a**2 + 2*a - 2. Let g be i(-3). Let n(q) = -9*q + 1. Let w be n(-1). Suppose 2*h + 6 = f - 5, 0 = 2*h + w. Solve k + g = -f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -463106.59 to the nearest 1000.\nAnswer: -463000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -39.5. Let r = -0.30033065 + -2.19967265. Let h = d - r. Round h to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - q**2 + 2. Let f be o(-2). Suppose -7*l + 18 + 10 = 0. What is the tens digit of 4*l - f\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + b = -3*y - 84, 4*b + 2*y = 100. Calculate the remainder when 8550 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322.297 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 14*b - 17. Suppose 3*s - 4*s = -2. Let r(d) be the third derivative of 5\/24*d**4 + 0 - d**3 + 2*d**s + 0*d. Calculate 17*r(i) - 6*z(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/108 and 23\/28.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.15716174845 and 2060.\nAnswer: 2060.15716174845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -20*k + 22. Let b be n(0). Calculate the highest common factor of 1320 and b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 691 is divided by 301.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 2*l = -10, 4*u - l + 6*l + 45 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -41903*m**3 - 2*m**2 - 17*m + 48422151.\nAnswer: -125709*m**2 - 4*m - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 151 + -144. Let h(k) be the first derivative of -5\/3*k**3 + 0*k**2 + 0*k - y. Let z(p) = 4*p. Calculate z(h(v)).\nAnswer: -20*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -127093450 rounded to the nearest 1000000?\nAnswer: -127000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - -9) + 9\/(-3). Suppose -3*o - 264 = -6*o. Calculate the highest common divisor of o and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 30 = 2*y + 2, -2*u - 2*y + 10 = 0. Suppose 5*s - u = 2*s. Suppose s*c + 2*c = v + 10, 4*v + c - 2 = 0. Is v <= 1\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -57.6700004838 + 57.67. What is t rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -69\nAnswer: -4\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**2. Let m(w) = 17. Let j(n) = n. Let r(g) = 3*j(g) + m(g). Let v(l) = l + 6. Let a(t) = -6*r(t) + 17*v(t). What is f(a(o))?\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 + 62 = 2*b, -93*b + 25 = -5*x + 111*b + 771 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (1 - -2) + (3 - 5) + -4 + 9\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 219*m**3*o**2*z + 5320*m**3*z + 791*m**2*o - 1964*m**2*z - o**2 wrt m.\nAnswer: 1314*o**2*z + 31920*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t\/(t*t*t*t**(-7)*t)))**35 assuming t is positive.\nAnswer: t**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1657994?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 133\/39937 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -2*z - 14. Let b(h) be the second derivative of h**4\/12 - h**2\/2 - 3*h. Give -a(d) + 2*b(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -446, -347, -170, 91, 442, 889, 1438, 2095?\n\"Answer: i**3 + 33*i**2 - 7*i - 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2*(-9)\/(-24))\/((-42)\/1008)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(520)*1 + sqrt(520) + sqrt(520))*-2)\/sqrt(10))\/((sqrt(4) - (sqrt(4) - -6*(sqrt(4)*-3 + sqrt(4))) - sqrt(4))*-5).\nAnswer: 6*sqrt(13)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-81 + 2 - 7) + -14 + 15 + (-10 - -5).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 - 24 = -2*j. Let l = 37 + j. Suppose -l*n = q + 3*q - 158, 2*n - 5*q - 83 = 0. Is n a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/15*i**2 + 0 + 2\/15*i**5 + 2\/5*i**4 + 0*i + 2\/5*i**3.\nAnswer: 2*i**2*(i + 1)**3\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:14 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -c**3\/3 + 15*c**2\/2 + 6*c - 4. What is the tens digit of u(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 410 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -67, -25, 25, 83, 149, 223, 305?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1062491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nunnnuunnnuuunnuuuuu. Give prob of sequence uu.\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 205, 4\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1689296, -3378590, -5067884, -6757178, -8446472?\nAnswer: -10135766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1538 is divided by 55.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 46 = -3*i. Let l = -4 + -2. Calculate the remainder when -2 + 69\/(-6)*l is divided by i.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55751 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 remainder when 52526077 is divided by 117?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-136880)\/396952)\/((-10)\/1624)?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 - -0.74?\nAnswer: 61.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1162849 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -17 (b) -0.3 (c) -9 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -22877786\nAnswer: -91511144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -21 times -1183.2\nAnswer: 24847.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 - 2. Let h = a - -16. Let l = -0.3 - 0.1. What is the closest to h in -3, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000010013763 to 6 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2164033?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 4*c = -5*c + 1, 2 = s + 2*c. Suppose -4*i + 2*o + 3 + 5 = s, 0 = 4*i + o - 8. Factor 0*u - 8\/7*u**3 + 4\/7*u**i + 0 + 5\/7*u**4 - 1\/7*u**5.\nAnswer: -u**2*(u - 2)**2*(u - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 - 2*j**4 + 2*j**2 + (0*j + 0*j - j)*(3*j**3 - 5*j**3 + 3*j**3) + 4*j**3 - 4*j**3 + 2*j**4 + (0*j**4 - 3*j**4 + 4*j**4)*(2 - 2 + 6).\nAnswer: 5*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve a + 40 = -x + 35, 2*a = 8*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2697516.\nAnswer: 2, 3, 24977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8508992?\nAnswer: 2, 132953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, h: 2, e: 2, f: 2, b: 4, z: 1}. What is prob of picking 1 h, 1 b, and 1 f?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0 and 4502.12?\nAnswer: 4502.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-33168)\/(-6) + -8 - -2. Let d = 8227 - y. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-21)\/8)*(-7056)\/840?\nAnswer: -21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2 + 11*n**2 + 2 - 10*n**2. Let v(q) = -19*q. Give v(u(b)).\nAnswer: -19*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 5*w - 8. Let z be d(6). Suppose 0 = 3*x - 29 + 11. Let q be 87\/(-58) - (-1)\/x. Is q at most z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12012 + 21211?\nAnswer: 2122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) -1 (c) 29 (d) 0.5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -208 - -199.1. Let l = k - -9. Which is the closest to l? (a) -5\/2 (b) 2\/3 (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z + 13. Let f be n(-8). Let q(g) = 25683*g**3 + 5*g**2 - 4*g**2 - 4*g - 25682*g**3. What is q(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 1 - 1 - h)*(-3 - 3 + 2)*(1 - 4 - 3) to the form m + g*h and give m.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 335 and -0.07007?\nAnswer: -23.47345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 3*p + x - 24 = 0, 0 = 5*x - 10. What is the lowest common multiple of ((-16)\/6 - -2)*-6 and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 131*v + v**4 - v**4 - 344061*v**5 + 343642*v**5 wrt v.\nAnswer: -8380*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 2*m**2 - 5*m + 12. Let h be w(18). Suppose -h = 16*a - 21*a. What is the greatest common divisor of 399 and a?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*w**3 + 0*w**3 - 4*w - w**3 - 2)*(2 - 2 - 178*w) as k*w**3 + y*w + z + v*w**4 + t*w**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, b: 5, c: 1, u: 1}. What is prob of picking 3 g and 1 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 225.\nAnswer: -8\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 2*m - 2*m)*(-178 - 292 + 126) - 3*m - 4*m + 5*m + (-3 - 4 + 5)*(m + 0*m + m) + 2*m + 5*m - 11*m to i + h*m and give h.\nAnswer: 334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2\/5 + 402*y\/5 - 399\/5.\nAnswer: -3*(y - 133)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0004845744 rounded to five dps?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 230822\/2358 - (-150)\/135\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16367 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13.8 * -36978.2.\nAnswer: -510299.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o + 16. What is the remainder when 29 is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -434 - -434. Let n(h) be the first derivative of 0*h**5 + 1\/2*h**2 - 2\/3*h**6 + 0*h**3 - 4 + 0*h + q*h**4. What is the second derivative of n(z) wrt z?\nAnswer: -80*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*r - 1 + 1.\nAnswer: 73*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2061844394?\nAnswer: 2, 19, 54259063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/(j**(1\/3)*j)*j)\/(j*j**(2\/15)))\/(j**(-1\/5))**(-33\/4) assuming j is positive.\nAnswer: j**(-67\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -6\/5, -1065, -0.1, 3\/7, -0.8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t. Let g(b) = 7*b**2 - 14*b**2 - 5*b**2. Give g(j(r)).\nAnswer: -48*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h*i**3*m - 5*h*i**2*m**2 + 74*h*i**2*m - h*i*m**2 - 3855*i**3*m**2 wrt i.\nAnswer: 6*h*m - 23130*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 95*h**3 + 96*h**2 - 4. Let x(g) = -95*g**3 - 95*g**2 + 3. Let k(z) = 3*v(z) + 4*x(z). What is the third derivative of k(t) wrt t?\nAnswer: -570","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.05 (b) -0.6 (c) 45 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(12)*-2 + 1*sqrt(12)*-1)\/(-5*(sqrt(16) - sqrt(4))*-4).\nAnswer: -7*sqrt(3)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14383 + 2*z - 14383.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10161 and 3666.\nAnswer: 12416742","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 8) + 0 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 52 - (-13 + 22 + -27 + 10)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3109*7.8.\nAnswer: 2.42502","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3\/31, 3, 5\/3?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*b - 4*x + 34, -4*x + 44 = 4*b - 8 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3394\/861 + 23\/41. What is the common denominator of p and -43\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 4*f - 30. Solve 3*z + 2*c + 8 = f, 0 = 2*z - 6*c + 2*c + 16 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - -9. Let v = z - 22. Let r(t) = -3 + 2 + 2 + t**3. Give r(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34 + 15 + 19 + 7*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24 + 37*n + 18 - 560 + 19 - 38*n + 25 + 474.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/2 of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6ca7490 + 4?\nAnswer: 6ca7494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -17.2. Let y = f - 0.8. Which is the biggest value? (a) -0.1 (b) -3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fsxnexd. What is prob of picking 2 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.42206 and -0.5.\nAnswer: -0.21103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + 5*sqrt(108)*1)*5)**2.\nAnswer: -4500*sqrt(3) + 67725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 7 (b) -3\/4 (c) -16 (d) 0.2 (e) 262\/3 (f) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*c = -v + 2, 3 = -3*c + 2*v. Suppose 3*y - c = 29. Calculate the smallest common multiple of y and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 8 = -4*p, -p + 0*p + s + 2 = 0. What is the second derivative of -13*i + 12*i**2 - 2*i + 21*i**p + i - 1 wrt i?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 521339?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360*(-14)\/(-441)*(-14)\/(-70).\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*n - 8 + 1 - 1 = 0 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 93 and 34689?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (-5 - 1 - (-379 + 372)) + (26 - 3).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -7)*(-1 + 2 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -41*n - c, -7*c + 8*c + 416 = -n - 31*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p**2 + 7*p - 3. Let w(l) = 11*l + 1. Let r be w(4). What is the remainder when d(5) is divided by -5*(-3)\/(r\/12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a microsecond in nanoseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -z**2\/2 + 9. Let q(c) = c**2. Calculate k(q(g)).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 - 97*i - 380. Give z(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -6*m + 1. Let c(k) = 1052*k**3 - 12624*k + 2104. Give -c(f) + 2104*n(f).\nAnswer: -1052*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153567?\nAnswer: 3, 113, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254.73294 nanoseconds to minutes.\nAnswer: 0.000000004245549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3171 - -3169. Let s(f) be the third derivative of 0 - 1\/6*f**3 - f**2 + 0*f. Let v(b) = -b + 2. What is m*v(k) - 3*s(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1051*g - 54 = -1024*g. Let c = 32 + -28. Sort c, 0, g, -3 in decreasing order.\nAnswer: c, 0, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b + 1. Let o be p(1). Suppose -u = o*u - 168. Calculate the highest common divisor of u and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3066*a + 1376*a - 575*a - 668*a)*(-3*a + a + 3*a).\nAnswer: 3199*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 253.7 and 176.4.\nAnswer: 44752.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6569?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000044797633 to seven dps.\nAnswer: 0.0000448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-8))\/(27972\/(-7992))?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6.975 * -4479\nAnswer: 31241.025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 272, 0.009, 3\/7, 5?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qeddeqrerdeer. What is prob of picking 1 d, 1 r, and 1 e?\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8886 is divided by 1107?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.5652 to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1115 divided by -5\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = z + z + 11, -14 = -4*z + 2*u. Suppose 2 = -z*a + 3*w, -4*a + w + 2 = -4. Solve 4*c = 3*b - 31, c = a*b - 0*c - 14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l**2 + 10*l + 15. Give q(-6).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bffbbbfbjffbfjbbffb. Give prob of picking 2 f and 2 b.\nAnswer: 84\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 35 = -5*j - 9*d, 4*j = -2*d + 20 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = p - 36, 393*p - 390*p = -2*h + 12 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14 - (-2)\/(-4)*6. Suppose 0 = -m*y + 12*y. Suppose r + y*r = 80. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-2)*4\/8. Suppose -f + a*f = -2. Solve 4*r + 12 = -f*g, -2*g + 0*r + 13 = -r for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0*c + 1\/15*c**5 + 26\/3*c**3 + 7\/3*c**4 + 9*c**2 - 3. Determine g, given that n(g) = 0.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(192)*1.\nAnswer: -48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzztzzzzttzzz. Give prob of sequence zzt.\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - v + 2. Let a = 3669377 + -33024391\/9. Suppose 10\/9*o**v - 8\/9*o + 0 - a*o**3 = 0. What is o?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1519 - -2356. Is s a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5000 and 6855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - e31e7?\nAnswer: -e31e2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*g**2 + 11*g**2 - 14*g**2.\nAnswer: -36*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 16 = 5*a, 2*y = -a - 4*a - 18. Put -3, 2, a in decreasing order.\nAnswer: 2, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 533910283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**6\/30 - w**5\/15 + w**4\/6 + 2*w**3\/3 - 10*w**2. Find k, given that n(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 5*k + 7. Let h(p) = 6*p + 7. Let n(j) = -7*d(j) + 6*h(j). Let f be n(10). Suppose 5*r - 88 = -3. Solve f*v + t + 0*t = -r, -2*v = -2*t + 6 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide (-1*28\/(-35))\/(3\/390)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1051914383.\nAnswer: 13, 103, 785597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 165088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 166*s**2 + 309*s + 4591. Give o(168).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2. Suppose 47*g = 55*g - 1256. Let o(l) = -120*l**2 + 139*l**2 + g*l**2. Calculate b(o(f)).\nAnswer: -30976*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - 7. Let k = -18 - t. Which is the second biggest value? (a) -5 (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 9\/15) + (-72)\/330?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxp when three letters picked without replacement from {x: 3, p: 7, d: 2, w: 1, a: 1}?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 380.4 + -380. What is the biggest value in -0.14, y, 0.5, 0.03?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-two fifths of a decade?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 3, -1, 6 in increasing order.\nAnswer: -1, -2\/5, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yjyyyjjjjyyijyyjjvj. Give prob of picking 1 v, 1 y, 1 j, and 1 i.\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.09 + -1. Let s = -604.7 - -605. Which is bigger: o or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -64? (a) 4 (b) 5 (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 438 + 1112. Suppose 20*t + l = 22*t. Suppose -b + 2*b - t = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.022 + -4.822. Let f = -4102760 - -4102755.200106. Let u = f - z. Round u to five dps.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*s - 0*s + 4*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -20615 greater than or equal to -20615?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 0 + 138 = 2*l, x - 4*l = -36. Let s be 2\/(-6) + -3 + x\/(-9). Solve -2 = -2*y + s for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*k**2 - 7*k**6 - 5*k**6 + 10*k**6 wrt k?\nAnswer: -240*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 PM and 7:06 PM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/((z*z**(-5))\/z))**31*(z**(-5))**(-45) assuming z is positive.\nAnswer: z**411","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 0*r + r)*(2*r - r + r) + (-6*r + 0*r - r)*(-3 + 3 - 2*r) - r**2 - r + r.\nAnswer: 17*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t**2. Let p(x) = 789*x. Calculate u(p(s)).\nAnswer: -1245042*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1336*k**2 + 1338*k**2 + 1 - 1.\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 11*u = -6*u - 8, 3*t - 3*u - 6 = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -55. Solve 0 = 3*p - 5*f + u, 12 = 5*p - 2*f + 31 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v**2 + v. Let w(b) = -7*b**2 - 4*b. Suppose -y - 4*a = 10, -3*y + 4*a - 3*a = -22. Let c be 15\/9*y\/(-2). Determine c*i(f) - w(f).\nAnswer: 2*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 279 = -6*c. Suppose 4*q + c = 5*t, 2*q + t - 6*t = -49. What is the remainder when 21 is divided by 4\/((-8)\/q) - -1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8339 + -4387. Is u a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -36, 1, -215\/6, -1\/6 in decreasing order.\nAnswer: 1, -1\/6, -19, -215\/6, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.23 - 0.03. Let b = 0 - w. Let z = -0.2 + b. Sort -1\/6, 4, z in increasing order.\nAnswer: z, -1\/6, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 PM and 10:15 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11502180 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 988\/7, -4\/9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -679.96 and -2.5732?\nAnswer: 677.3868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 5*j = 19, 4*j = -2*g - 12 - 14 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13018)\/(-414) - 124\/4.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**3 - q - q + 2 + 0*q**3 + 3*q**2. Let z be w(3). Which is the second smallest value? (a) 1 (b) z (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 - 10*r**2 + 6. Let q be -35*((-976)\/112 - -9). Give o(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16.28 + 3.62. Let q = w - 19.899916. What is q rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -32*b**2 - 34*b**2 + 66*b**2 - 5*b**3 + b to the form s + g*b**3 + d*b**2 + y*b and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1766 = 2*b - 2896. What is the tens digit of b\/81 - 2\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 596 a factor of 1196291200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 89 greater than or equal to 92?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 124 - -4444204?\nAnswer: 4444333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -28*g + 905. Calculate a(33).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -36 - -94. Suppose 2*t = -2*p + f + 44, 5*p - 35 = -t. Let u = t - 47. Solve -2*n = -2 + u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48507946 take away 0.2?\nAnswer: -48507946.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, 11, 1, -75, 2 in decreasing order.\nAnswer: 11, 2, 1, -51, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbhhdhdhhbh. What is prob of sequence dbb?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 896488.8 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 137 = 6*c, 0*f - 90 + 6 = -4*f - 4*c + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 846073 divided by 18\nAnswer: 846073\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/5)*n)\/n*n\/(n**8*n*n) assuming n is positive.\nAnswer: n**(-44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and -29.\nAnswer: 8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Calculate 0 + -2 + (3 + -2 - -9) + 7 + -7.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 + -12. Let d be 11 - ((-3 - 0) + (5 - 2)). Suppose -a = x + 3, 31*a + x - 12 = 35*a. Sort d, a, i in increasing order.\nAnswer: i, a, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -0.13 (b) 1 (c) 513\/22 (d) 0.1 (e) -20 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -330.4 + 333.4. Which is the nearest to -82? (a) 0.4 (b) 11 (c) 5\/3 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71705341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117723551 divided by 5.\nAnswer: -117723551\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-10) - 24\/(-10). Suppose 3*i = -4*f + 2*i + 33, -f + 10 = r*i. Suppose 46 = m + 3*u - f*u, 116 = 4*m - 3*u. Does 7 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 31\/7 (c) -7 (d) -3 (e) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -771*b - 22161 = -1344 for b.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(140\/16)*21\/(-6). Solve -5*h = 2*s - c*h - 19, -3*s = 3*h - 21 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -203.1 or -1.04?\nAnswer: -1.04","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5770.38 * 1\nAnswer: -5770.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2358.8214588 - 2.3\nAnswer: 2356.5214588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/36550 and -69\/430?\nAnswer: 36550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4032 and 151488?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1271, 2545, 3843, 5171, 6535, 7941, 9395?\nAnswer: 10903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -449 - -453. Solve -4*a + 5*a = -2*l - t, 0 = 4*l + 3*a + 8 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 19*x - 4. Let k(i) = 6*i - 1. Let o(a) = 2*c(a) - 7*k(a). Let g(l) = 3*l + 1. What is -5*g(q) - 4*o(q)?\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 248 + 26*l**3 - 8*l + 6*l + 245 + 246 - 741 + 3*l**2 as a*l + h + j*l**3 + b*l**2 and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (44 - 18 - 3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 - 9*a - 4. Let w be 4\/6 - (-114)\/(-9). Let n = w - -6. Is 7 a factor of q(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*l - 0*a + 101, -107 = -2*l - 5*a. Let h = l + 10. Suppose -5*x + 110 = -x + 2*z, 5*z = 2*x - h. List the prime factors of x.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103425 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of y**3\/2 + 705*y**2\/2 + 1407*y\/2 - 4569. Suppose h(w) = 0. Calculate w.\nAnswer: -469, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16 + 104584434?\nAnswer: 104584451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-10) - 16\/(-20). Let n = 27 - u. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*b**4*d - 181*b**4 - d + 6470 wrt b.\nAnswer: 12*b**3*d - 724*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*g**4 - 15*g**4 + g**4 + (-3 + 3 + g)*(5*g**3 - 3*g**3 - 8*g**3) as i*g + y*g**2 + n + t*g**4 + h*g**3 and give t.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002163684896 to six decimal places.\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**5 - 4588*f**4 + 36428*f**3 + 339048*f**2 - 1641870*f - 9258300 = 0 for f.\nAnswer: -5, 9, 2286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111000 - 101?\nAnswer: -111111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7541*d + 9*d**3 - 7541*d + d**2.\nAnswer: 9*d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 350 and 77140?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/5*20\/(-24)*1074 is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + w + 4 = 0, -3*a = a + 5*w + 20. Let y = -4 + 3. List the prime factors of a + (-2 + y - -8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-2)*n**(-8))**28)**29 assuming n is positive.\nAnswer: n**(-8120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 15244, 30462, 45626, 60736, 75792?\n\"Answer: -27*k**2 + 15299*k - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*g**2*p + 109977269*g**2 + 449137*g*p**2 wrt p.\nAnswer: 16*g**2 + 898274*g*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 - (50 - 50) - 10?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 45 - 30. Let x be (-3)\/(6\/(-4)*2\/6). Suppose -q*k + x*k = -324. Is 12 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 + 0*v - 58 - 64 + 7*v.\nAnswer: 7*v - 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and 1.9626711275.\nAnswer: 1.5626711275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 513 is divided by 174.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 + 3*w**2 - 3*w - 3. Let o(p) = p**4 + 4*p**3 + 2*p**2 - 4*p - 3. Let h(y) = -4*k(y) + 3*o(y). Determine z, given that h(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u**2 + 3*u + 3. Let q(x) = -x**2 - 1. Let b(v) = -4*v**2 + 3*v - 4. Let w(i) = b(i) - 6*q(i). What is 4*r(c) - 5*w(c)?\nAnswer: -2*c**2 - 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(2 - 2*a - 2) + 3*a + 8*a - 2*a + 0*a + a + 3 + 0*a.\nAnswer: 8*a + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5239?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018\/12725*(-45)\/(-1)?\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*g - 2*g + 5*g + (-5*g + g + 2*g)*(-5 + 8 - 5) - 5*g + 3*g + 3*g to n*g + q and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*p - 53 = -3*p, -5*l = 4*p - 55. Let s(d) = 3*d**2 + 3*d - 49. Let x be s(l). What is the greatest common divisor of 7 and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - -10. Suppose q = -4*q + n. Solve 5*p + 3*d = 6, -2*p + 3*d - q = 3 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.5 (c) 1\/14 (d) -2 (e) 2\/7 (f) -0.06005\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 35392010 to the nearest integer?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*z = 10*z. Let t(m) = -13*m + 55. Let l be t(z). Suppose p = 32 + 1. What is the greatest common divisor of p and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 610?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the second derivative of -5*c**4\/12 - 9*c. Let a(m) = -6*m**2 + m. Calculate -2*a(n) + 3*v(n).\nAnswer: -3*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 - 2*m**2 + 6*m**2.\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3891 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7064 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -997 + 3824. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23426327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2.8 + -3.54. Let p = r - -0.74000007. What is p rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.7 and 4467247.\nAnswer: -7594319.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(-16)\/f*(f**13\/f)\/f)\/((f**10\/f)\/(f**1\/f)) assuming f is positive.\nAnswer: f**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from eehe?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 8. Let h be d(6). Suppose 0*l - 4*l + 2*i + 92 = 0, 8 = -h*i. Let s = 31 - l. Solve -3*u = s + 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + n + 0*n)*(n**2 + 4*n**2 + n**2) + (0*n + 9*n + 34*n)*(1 - 1 - n**2).\nAnswer: -25*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w**(-5)*w))\/w**2)**36\/(((w**0\/w)\/w)**(4\/19)\/(w\/(((w\/w**(-7))\/w)\/w)*w*w*w*w**(1\/9)*w*w)) assuming w is positive.\nAnswer: w**(18559\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of -105.6 and 20.\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 4*z**2 - 3*z - 7. Let r be o(-4). Put r, -2, -0.4, 0.3 in descending order.\nAnswer: r, 0.3, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.9? (a) 4 (b) 0 (c) 1 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 - 14*m**2 - 12*m + 15. Let d be r(-13). Suppose -3*y - 4*x + 3000 = 0, -x + 2000 = d*y - 0*x. What is y rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108746 is divided by 48.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 7:57 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**12*a\/a**(-12)*a)\/(a**(-12))**(-1\/15) assuming a is positive.\nAnswer: a**(126\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31614203?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + d - 44 = 0, -13 = -i + d + 33. Let u = 68 + i. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 12*f**2 + 16*f - 2. Let g be c(-13). Let q = g + 439. What is the greatest common factor of q and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/8789 and -137\/15980?\nAnswer: 175780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55.83 + 57.83. Which is the closest to -1? (a) 3\/8 (b) z (c) 53\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -b*d**2*l*p + 9*b*d**2*p**2 + 3*b*d*p + b*l*p**2 + 2*b + 5*d**2*p**2 - d*p + 2*l*p wrt d.\nAnswer: -2*b*l*p + 18*b*p**2 + 10*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 69\/20 and -75\/34.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tb when two letters picked without replacement from tbbuaaubuuuu.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2 + 0 - 7 + 4*y. Let r(s) be the first derivative of -s**2 + 2*s - 147. Suppose 5 + 1 = 2*p, -2*p = 3*v. Give v*q(g) - 5*r(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 38\/7 - (-7)\/(294\/(-18)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*q**6 - 114*q**5 + 26*q**2 - 10?\nAnswer: -600*q**3 - 6840*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 less than 6103.2354?\nAnswer: 6088.2354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1006322, -2012649, -3018976, -4025303, -5031630, -6037957?\n\"Answer: -1006327*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 12*i**2 + 56 - i**3 - 5 - 16*i + 4*i. Let y be x(11). Solve 0 = -37*p + y*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 5*j - 60 - 65, -3*j = 2*c - 53. Let p = j + -19. Let q(l) = -2 + l**p + 3*l**2 + 2*l - l**3 + 0. What is q(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36405877507 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -185 - -180. Sort g, 0, -206 in ascending order.\nAnswer: -206, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h**2. Let r(x) be the third derivative of -2*x**5\/15 + 7*x**2. Let a(i) = 7*i**2. Let b(z) = 4*a(z) + 3*r(z). Give p(b(t)).\nAnswer: -96*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/20? (a) -147 (b) -1 (c) 0.4 (d) -6 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 5*o**2 - 5*o + 4. Let t(d) = 15*d**2 + 4*d - 11. Let w(r) = -8*r**2 - 2*r + 6. Let u(q) = -6*t(q) - 11*w(q). Let v be u(-2). Give y(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*-6 - 2*sqrt(432)) + (sqrt(1617)*-3 - sqrt(1617) - sqrt(33))\/(3*2*sqrt(11)))**2.\nAnswer: 180625\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 234 + -261. Let j be (-5)\/(15\/q) + -6. Let w(u) = 7*u - 3. What is w(j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-2*sqrt(625))\/(3*(sqrt(180) - sqrt(180)*-2)).\nAnswer: -5*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -163 (base 8) to base 16.\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.5, 3.8, -26?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14497 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (10 - (-6 - 12 - 2 - -11)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-36)*(70 - -232) - ((-660)\/(-216) - 3)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8560 = -2*x + 4*w, 2*w = 5*x - 8541 - 12819. Suppose 5*q - 2*c = c + x, -4*q + 3418 = -2*c. What is the hundreds digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 2*n**2 - 12*n - 4. Let s be f(7). Solve -s*h + 12*h = 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 3 - 2*c + 1 + 4*c. Let s be ((-1)\/2)\/(24\/(-192)) + 2 + -1. What is k(s)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 207 + -198. Solve -4*v = 1 - o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-one halves of a hour?\nAnswer: 37800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 12*j**2 - 32*j + 21. Is 13 a factor of g(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 4*x - 64. Let l be (76\/12*3)\/(-1). Is 17 a factor of a(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of -a**6\/36 - 31*a**5\/120 + a**4\/2 + 4*a**2. Let t(y) be the second derivative of k(y). Is t(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -8*q**2 + 6*q - 1. Let p(x) = -16*x**2 + 11*x - 2. Let j(f) = -11*m(f) + 6*p(f). Suppose 4*d = -5*l + 11, -7*d = 4*l - 3*d - 12. Determine j(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l + 79 - 28 + 24 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from saasaaassaasaa. Give prob of picking 3 s and 1 a.\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -62 divided by 864?\nAnswer: -31\/432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-72)\/(-87)*83\/3. Let h = 6913\/174 - b. Calculate the common denominator of h and (-4)\/(-6) + (-5)\/(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 2*j**3 + (-j + 2*j**2 + j)*(-2*j - 2 + 2) + 71097884*j**2 - 71097884*j**2 + 4926*j**3.\nAnswer: 4924*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2. Let u(y) = -49*y**2 + 3292. Give u(g(n)).\nAnswer: -49*n**4 + 3292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*s - 27*s = -s - 198198. Calculate the smallest common multiple of s and 1092.\nAnswer: 12012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23010 by 26.\nAnswer: -885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 20728, 20727, 20726, 20725, 20724, 20723?\n\"Answer: -i + 20729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-6\/5))\/k)\/(k*k**18*k))\/((k**(7\/2)*k)\/((k*k\/k**17)\/k)) assuming k is positive.\nAnswer: k**(-417\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t. Let w(h) = -189*h**2 + 199*h**2 - 89*h**2. Give b(w(g)).\nAnswer: -790*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -6*m, -35*m + 4*m - 87 = -4*f - 11*m + 89 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 278*s - 269*s - 108. Let t(r) = -r**3 + 10*r**2 + 25*r - 13. What is t(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 273*s - 1629. Determine r(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 17*k - 97. Give o(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5\/(-9)*(-6)\/(-15). Let x(p) = p**2 - 3*p - 2. Let d be x(3). Sort 2, d, z in ascending order.\nAnswer: d, z, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -1\/18*a**6 + 1\/6*a**2 + 2\/15*a**5 + 4 + 0*a - 2\/9*a**3 + 0*a**4. Determine k, given that y(k) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -104 (base 8) to base 4.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 2086576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 13*u**2 - 12*u - 21. Let w(y) = 4*y**2 - 4*y - 7. Calculate -7*w(l) + 2*z(l).\nAnswer: -2*l**2 + 4*l + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1\/48 + 181\/240. What is the common denominator of y and -1\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11607872 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: Let d(t) = -2 - t - 17 + 1 + 7. What is d(-8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven eighths of a gram?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/2*32\/80*(-2)\/(-7)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((782\/(-23))\/(-136))\/(((-14)\/20)\/(40\/(-10))).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 226\/7 - 4\/14. Suppose -3*h = h - y. Suppose -9*x = -h*x - 30. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4660577 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63818879?\nAnswer: 29, 2200651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3\/(-129))\/((-1)\/2). Which is the second biggest value? (a) 0.1 (b) -4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express u**3 + u - 3*u**3 + 17*u**3 + 5*u**3 in the form s*u**3 + a*u + v + n*u**2 and give s.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.275 + 0.261. Let i = p + 0.01400428. What is i rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vut when three letters picked without replacement from tsuvt.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0 + 0)*(25*q - 312 - 31*q + 215)*(-2*q**4 + 4 - 4).\nAnswer: -12*q**5 - 194*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 14763 + -14757. Solve 0 = -5*t + 2*n + 12, 2*t - s*n + 9*n = 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -559105455*-0.1\nAnswer: 55910545.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-50)\/6*15\/(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1331) - sqrt(1331)*1 - sqrt(1331))**2.\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9404 - 4621. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 7, 7, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1130142 + 10113?\nAnswer: 1140310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 + 2 + (3 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -787.9 - -788. Which is the closest to -1\/3? (a) -0.4 (b) y (c) 5\/4 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3632606 a multiple of 1526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/(98\/(-21))*(-4)\/(-9).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 5319669*c**2.\nAnswer: -5319669*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -311210313 (base 5) to base 3\nAnswer: -2101122122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*d**3 - 2*d**4 + 9*d**3 + (4*d - 2*d + 0*d)*(-2*d**3 + 0*d**3 + 0*d**3))*(-2*d + 0*d + d).\nAnswer: 6*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o + 41*o = 30. Suppose 0 - 8 = r + o*v, 4*v = 2*r + 16. Let w(l) = l**3 + 9*l**2 + 11*l + 16. Let b be w(r). Are -10 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6242 and 17848?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t. Let r be s(-1). Let j be -6 + 3\/((-3)\/(-2)). Let h = j + r. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 12:48 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 80*i**2 - 41*i + 2259. Let x(c) = 37*c**2 - 19*c + 1129. Calculate -6*k(m) + 13*x(m).\nAnswer: m**2 - m + 1123","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/656 and 17\/2016?\nAnswer: 82656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 1 (c) 2\/11 (d) -2\/27 (e) -22\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*w = 46 - 140, -2*t = -3*w + 99. Let a be 38\/t - (-6 - -5). Let g = 7 + -4. What is the closest to -1\/2 in a, 4\/3, g?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5562*k + 5566*k - 7*g = 16, -5*k - 19 = g for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (116 + 116 - 192)*(-3*k**4 + 3*k**4 + k**4) + (2*k - 6*k + 2*k)*(2*k**3 - 5 + 5) - 12 + 12 - 8*k**4.\nAnswer: 28*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2218.5 - 2218.528613. What is r rounded to four dps?\nAnswer: -0.0286","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k + x + 17 + 0 = 5*k - 3, 5*x = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-60)*(-225)\/3015.\nAnswer: -2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-six fifths of a day?\nAnswer: 13248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(98) + -2 + sqrt(242) + -2 - 3*6*(1 + sqrt(288) + sqrt(288)))**2.\nAnswer: 72864*sqrt(2) + 1373104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 6:27 AM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -63*i - 321. Let y be l(-5). Let f(n) = 5*n**2 - 7*n + 5. Let t(z) = -4*z**2 + 8*z - 6. Determine y*f(k) - 5*t(k).\nAnswer: -10*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4686 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in seven quarters of a hour?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*((sqrt(272) - (1 + sqrt(272))*-6) + 0) + -1)**2 + 1)*2.\nAnswer: 17360*sqrt(17) + 668324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.8 in -5\/8, -0.03, -0.1?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-4)*(40\/36)\/5.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (5 + -1))*(-2)\/(-5).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from iiiaiai.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1338 + 1338. Solve k = -2*r - 5*m - 17, -2*r - 12 = 4*m - 0*m for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9744135?\nAnswer: 3, 5, 37, 97, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 51*u + 134. Give o(46).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -2\/13, 2\/5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 5582, 1309, -2964, -7237, -11510?\n\"Answer: -4273*x + 9855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1479, -55, -3, -5.\nAnswer: -55, -5, -3, 1479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**6\/40 + j**5\/2 + 179*j**4\/24 + 444*j**2. Find the second derivative of f(v) wrt v.\nAnswer: -18*v + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 763.07551362582.\nAnswer: -758.07551362582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 400*n**2 + 37*n**3 + 4*n**2 - 404*n**2.\nAnswer: 37*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 11*q**2 + 147 - 60*q + q - 12*q**2. Does 7 divide l(-56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 87, -6 in decreasing order.\nAnswer: 87, 8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 2*m**2 - 25*m + 11. What is o(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = p - 68, 2*p = -4*i + 5*p - 99. Let n = 4 - i. Solve 4*v + 5*k - 24 = 3*v, -5*k = -n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44305 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 798\/(-70) + 11 - 4544\/(-160)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 8*v - 52. Let q be k(7). Suppose -2*h - q*h = 54. Is -6 < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/7 in -1808, 0, 1.05?\nAnswer: 1.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 5*f - 22 = 0, -3*f + 10 = d - 4. Suppose -w = d*w - 78. Suppose -55*v + 57*v - 30 = 0. What is the remainder when w is divided by v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2, -0.25187, 102.8?\nAnswer: 102.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*4*9\/342*19?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(7) + sqrt(21)\/sqrt(3) + -1.\nAnswer: -5 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 8*r**2 + 13 - 13*r**3 + 14*r**3 as a + b*r**3 + s*r**2 + j*r and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -l*o*v*w**2 + 37*l*o*w**3 + l*o + 2*l*w**2 + l + 10*o*v*w**3 - 293*o*v*w**2 - o - 24*v*w**3 wrt w.\nAnswer: 222*l*o + 60*o*v - 144*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 94 = -70 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 35\/9 + 1\/9*s**2 + 4\/3*s.\nAnswer: (s + 5)*(s + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -q**7\/210 - 47*q**6\/12 + 3071*q**5\/60 + q**3\/6 + 3988*q**2. What is the third derivative of j(a) wrt a?\nAnswer: -24*a - 2820","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -4*u**3\/5 - 1761336*u**2\/5 + 236072892*u\/5 - 7909043408\/5 = 0.\nAnswer: -440468, 67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 5*q + 2. Suppose 5*n - 49 = -2*o, 6*o - 3*o + 39 = 5*n. Let v = -5 + n. Determine u(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*l - 551*l - 144 = -267*l. Sort 21, l, -4 in ascending order.\nAnswer: l, -4, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a gram in milligrams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -689*b + 20855. What is g(32)?\nAnswer: -1193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 12*m**2. Let h(t) = 209028*t. Determine h(c(k)).\nAnswer: 2508336*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 6, -183266 = -3*i + 3*x + 99013. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210001002020 (base 3) in base 2?\nAnswer: 1100101000110110100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/(-4) + 589\/(-124) + 58836 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5.862 (b) -2081 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) -1 (c) 0.4 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.013 take away -2126590168.02?\nAnswer: 2126590168.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 17\/2 of a century?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 41 = 2*v + 5*p, 48 = -19*v + 9*p + 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 52 (base 16) to base 13\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 37 = 107. Suppose 4*v = -y - 14. Let d = -114 + 113. Put d, v, -2 in descending order.\nAnswer: d, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gwoggozozzzzo. Give prob of picking 2 o and 1 g.\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 25\/5 + -5 - 150\/(-48). Is 3 not equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.021 or -912638?\nAnswer: -912638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8914\/9 - -997. Let w be 0 + (10 - 0) - 0. What is the common denominator of j and 6\/(-8)*w\/15?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 10:19 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.39, 3\/2, -0.04, 17.\nAnswer: -0.04, 0.39, 0.5, 3\/2, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.25?\nAnswer: 1.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 210142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*g**4 - 1050 + 549 + 503 - 2*g**3 - 2*g**2 + 13*g + 5*g**2 to the form u + z*g**2 + r*g + y*g**3 + t*g**4 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 - 57578871.05.\nAnswer: -57578915.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -389*(20\/(-12) - 8\/(-12)) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 216171, 216170, 216169?\nAnswer: 216168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/174 - 3\/7.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -30910, 3 in ascending order.\nAnswer: -30910, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 87 - 72 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**3\/5 + 6*a**2\/5 + 2*a\/5 - 6\/5.\nAnswer: -2*(a - 3)*(a - 1)*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 226223 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1032 (base 4) in base 9?\nAnswer: -86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 9*b**2 + 9*b + 2. Let o be w(8). Let q be (-3 + 2)*(-594)\/o. Let a = 59 - q. Is 1 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*l**2 + 2258 - 2258.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes before 2:23 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 85748 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 247520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6024 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 206922?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -q + 16, 4*q - z + 6*z + 4 = 0. Suppose q*k + 4 = h - 0*h, 2*k + 2 = 3*h. Which is bigger: 1\/5 or k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -185 + 263. Let z(b) = 5*b + 20. Calculate the remainder when n is divided by z(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17 + 1 + -1 + (-11 - -7) + 9\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60.96 + -61. Let w = -0.2 - -0.1. Let k = 4 + 1. Put k, r, w in increasing order.\nAnswer: w, r, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**2 + 2*a - 3. Let y = -3 - -2. Let r(w) = 5*w**2 - 4*w + 4. Let g(o) = o. Let l(p) = y*r(p) - 2*g(p). Let f = 399 + -396. Give f*l(m) - 4*t(m).\nAnswer: m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*z + 65 = -37 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*3\/(-12)*(70\/(-10) + -3)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 5*u = -3*q - 51, -u = 3*q - 153. Let y be q\/9 + 6\/18. Solve -3*c + 0*j + 3 = -3*j, -2*j = y for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-2*1*(0 + sqrt(119)\/(sqrt(35)\/sqrt(5))))**2.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from qklllklqqkkqkqkqkq.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -z - 5, 3*m + 2*z = -0*m + 17. Solve 0 = -5*v - m - 17 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s**3\/9 + 52768*s**2\/3 - 35180*s + 158312\/9 = 0. Calculate s.\nAnswer: -39578, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 3793007?\nAnswer: 7586014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79106*t**2 - 39761*t**2 - 39334*t**2.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -5. Suppose w*r - 1125 = -r. Is -2*(r\/(-2) - 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 506 - 504 = 4*q - 5*k, q - k = 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 464658, 464589, 464422, 464109, 463602?\nAnswer: 462853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -21956 greater than -21201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.035? (a) 191 (b) 8 (c) 42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 259778.\nAnswer: 2, 193, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 34 - 1 = -5*u, z - 3*u + 7 = 0. Suppose 0 = -4*t + 3*b - 109, 3*t = 5*t + z*b + 35. Let y = t - -46. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, -124, -6, 4\/5, 2 in descending order.\nAnswer: 2, 3\/2, 4\/5, -6, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 + 4. Let l = 31 - a. Solve -2*x = -l + 8 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 + -1 + -1 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/80 and -97\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2\/9, 0.3, -0.5, 5.8, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 32*t - 33*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 2\/7, 0.1, -18.9, -2\/7 in ascending order.\nAnswer: -18.9, -12, -2\/7, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**2\/7 + 1160*a\/7 + 168200\/7.\nAnswer: 2*(a + 290)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-1 - -7 - 7 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-10)*538*-1. Let k = i - -395. Let a be (-9*(3 - 1))\/(-1). Calculate the highest common divisor of a and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, 5, 1.8, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 3917629 (base 10) to base 5\nAnswer: 2000331004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 + -24 - (-8 - -16)) + (1 - 1 - -35).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64753.\nAnswer: 13, 17, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of w**9\/1512 - w**5\/60 + w**3\/6 + 4*w. Let y(b) be the second derivative of q(b). Find the second derivative of y(h) wrt h.\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:01 PM and 4:38 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 341, 1177, 2567, 4517, 7033, 10121?\n\"Answer: t**3 + 271*t**2 + 16*t + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 930158820 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from zfjfzzzzjzzzzzjjjj.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -2772 divided by -18?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 55 - -82. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4b6 (base 12) to base 13\nAnswer: 42c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 3*k**2 - 4*k + 2. Let o(g) be the third derivative of -g**4\/8 - g**3\/6 - g**2. Let n be o(-1). What is the remainder when 23 is divided by f(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**4\/6 - l**3 + l**2 - 2*l. Let a(b) = 461*b**2 - 130*b**2 + 2 - 200*b**2 - 132*b**2 - 5*b. What is 3*a(z) - 2*n(z)?\nAnswer: z**2 - 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3437 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: Suppose -3*x = -2*c - 77, 0 = x + 2*c - 38 + 7. Suppose -7*s + 50 = -x. Solve -4*l = 4*h - 9*h - 37, 0 = -4*h - 3*l - s for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12\/5 - 142\/55. Let s = 8 - 22\/3. Which is the third smallest value? (a) s (b) g (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47264 is divided by 23596.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -189, -278, -363?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -379 (base 13) to base 14.\nAnswer: -315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/2*804\/(-1809)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1849 times 0.3?\nAnswer: 554.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -485 + 495. What is the remainder when 559 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-15)*p\/(p*p\/(p**(-6\/13)*p)))**42 assuming p is positive.\nAnswer: p**(-8442\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3152 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express c**3 + 3*c**3 + 2*c**3 + (-5914*c + 117*c**2 + 5914*c)*(1 - 1 + 2*c) as t + o*c**2 + n*c + b*c**3 and give b.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**2\/4 - 31335*u\/2 - 62665\/4.\nAnswer: -5*(u + 1)*(u + 12533)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*j - 9860 = -4*j + 100*j - 22*j for j.\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1263030 (base 12) to base 7\nAnswer: -42466233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1897 is divided by 188?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 6 = 0, 5*k - 64*l + 73*l = 33 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 71560806397 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -49 - -184. Let c = -84 + d. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and -669.\nAnswer: -669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 532*w**3 - 8*w**2 + w + 195688.\nAnswer: 3192*w - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**2 + 5*a - 5*a. Suppose -7 = -0*d + 4*d - 5*z, 0 = -5*d + 4*z - 2. Let b(t) = 2*t**2 - t**2 + 0*t**2 - 2*t**d. Give b(x(u)).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - -3)\/1 + 1. Let p be 1*(2 - (1 - a)). Suppose 0 = 3*u + 3*x - 1 - 5, -5*u + 10 = 4*x. Solve -s + u = g, -4*g + 4*s + p = 25 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 185*v = 156*v + 87. Find z such that -268\/5*z**2 - 16\/5 - 686\/5*z**5 - 136\/5*z + 784\/5*z**4 + 322\/5*z**v = 0.\nAnswer: -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 542130245028 + 0.3.\nAnswer: 542130245028.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, f: 1, s: 3, u: 2}. What is prob of picking 1 s, 2 u, and 1 j?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 2. What is the third biggest value in b, -4\/5, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -2*x**3 + 10*x**2 + 52*x + 3. Let r be q(-3). Which is greater: -202 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-9) - (-5)\/(-3). Let u be (-1)\/(-2*l\/(-2)). Let d be -2 + (u\/1 - -36). What is the highest common divisor of d and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 18*f + 17. Suppose 2*a - 4*o + 7 - 73 = 0, -5*o = -a + 57. Calculate l(a).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 divided by 290946?\nAnswer: 10\/145473","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/5, 0, -0.21, -4 in increasing order.\nAnswer: -4, -0.21, 0, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 539361 > 539355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + 25, 4*a - q + 109200010 = -3*q. Round a to the nearest 1000000.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -659 divided by 31?\nAnswer: -659\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -410 - -450. Solve 4*w - i = -2*x - 14, 11 = 2*x + w for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from iirviirvriviirvivvi.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 125936 and 544?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -14 * 4.7\nAnswer: -65.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a04 - -c?\nAnswer: -9d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 26 - 10 = 0, n + 29 = 3*o. Let v = 7 + n. List the prime factors of -1 - (0 + 1 + v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*i - 3*i = 18, 3*i = 2*y - 11. Put 3, y, -17, 2 in descending order.\nAnswer: 3, 2, y, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(((s\/(s\/(s**2\/s))*s)\/s*s*s)\/s))**(-28)*s\/(s\/(s*s**(-1\/18)))*s\/(s*s**(-1\/2)))**(-34\/9) assuming s is positive.\nAnswer: s**(-9010\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14761232 and 31958.\nAnswer: 1682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 5\/3, 5, 2\/5, -3\/335?\nAnswer: -3\/335","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 27. Suppose b - o*y = -2*y, -3*b + y + 8 = 0. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*j + 57*j + 2*v = 12, 2*v = 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 80141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((18\/20)\/(14\/(-28)))\/(9\/30).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 - 7*t**2 + 2*t. Let c(h) = -2*h**3 - 7*h**2 + 3*h. Give -2*c(d) + 3*w(d).\nAnswer: d**3 - 7*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -111011 (base 2) to base 15\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 32123230231 (base 4) in base 16?\nAnswer: 39bb2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -22. Let c be (20\/30)\/(v\/(-3)). Suppose 0 = -d + c. Solve -3*a = 5*p - p + 32, -d*p = -2*a + 2 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -682.\nAnswer: -5\/682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from {f: 2, r: 2, x: 1, w: 4, o: 1}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2354823 and 595?\nAnswer: 82418805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2535 = 80*b - 145*b. Solve -b*i = 261 + 12 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 + 12 = 5*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4497.3 rounded to the nearest 100?\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/2*(1 + 1). Let i = -3131 - -3183. Put z, -5, i in ascending order.\nAnswer: -5, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1423407875?\nAnswer: 5, 17, 669839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 1645 = -6*n. Let a = n - 163. What is the remainder when a is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 220\/2*(1 - 2). Suppose 0 = 9*o - o - 8. Is (m\/50)\/(o\/(-5)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143772, 287424, 430860, 573972, 716652, 858792, 1000284, 1141020?\nAnswer: 1280892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -44? (a) -0.01 (b) -16 (c) -0.3 (d) 0.02236\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52*59198.\nAnswer: 3078296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, l: 3}. What is prob of sequence mlml?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3705 + 4114. Is 5 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -24*x**3 + x**2 + 4*x + 3. Let q be f(-1). Solve -4*h + q = -4*m, -12 = -m + 4*m for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -646*s + 578. Let x(q) = -9*q + 8. Let m(k) = -12*g(k) + 867*x(k). Let c(v) = -10*v. Let j(d) = 5*d. Let h(z) = -2*c(z) - 5*j(z). What is m(h(b))?\nAnswer: 255*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/101568 and -65\/64.\nAnswer: 101568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 8*u = -3*x + 57, 0 = 2*x - 2*u - 36. What is the remainder when 35 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.05, -0.3, -34, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 - 16. Let y = -4 - j. Solve 15 = -3*k - y*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13973 = 54*a - 55*a. Suppose 5*j = n + 138848, -5*n = 5*j - a - 124857. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 161219113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (12\/(-5))\/(1431\/(-37830870))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 794281*q**5 - 198*q**4 + q**2 - 261*q - 197455 wrt q.\nAnswer: 15885620*q**3 - 2376*q**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s. Let t(v) be the third derivative of 61*v**5\/30 + v**4\/8 + 186*v**2. Calculate t(g(u)).\nAnswer: 122*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)*1)\/(sqrt(216)*-1 - sqrt(216)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 4*x, 4*t + 7*x - 8 - 1 = -7 - 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1182*j**3 + 2*j**2 + 1196 with respect to j.\nAnswer: 3546*j**2 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -229 - 242 + 471 - 381*k + (-3 + 3 + 2)*(3*k + 7*k + 0*k) as c + n*k and give n.\nAnswer: -361","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, 114, 147, 5 in descending order.\nAnswer: 147, 114, 26, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 54.57 + -0.57. Let c = 53.9999865 - j. Round c to 6 decimal places.\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 21*m - 17*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes before 5:59 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25953 + -25943. What is the nearest to o in -2\/5, 7, -1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**2*w)\/w**(3\/4))**15 assuming w is positive.\nAnswer: w**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 8*q + 8. Let i be l(1). Let g be 23 - 26 - (-15 - i). What is the highest common divisor of 11 and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(-6)*24\/30*(-693)\/3850*-130\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4)\/(sqrt(2) - sqrt(32)) - (sqrt(2) - (sqrt(2) - sqrt(18)\/(sqrt(45)\/sqrt(5)))))**2 + ((sqrt(2) + sqrt(18) + -4)*-1)**2.\nAnswer: -32*sqrt(2) + 464\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 4 = 86*j - 82*j, -2*j - 4 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o + 2*o - 3*o)*((-4 + 4 + o**2)*(-2 - 1 + 1) - 2*o**2 + 0*o**2 + 0*o**2 + o**2 + 0*o + 0*o) - 41*o**3 + 2*o**3 + 2*o**3.\nAnswer: -25*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 17*f**3 - 3*f**2 - 22*f - 5. Is v(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = 5*b + 8. Suppose -5*x = -9 - b. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 3.7 (c) -8 (d) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.3 at most as big as 129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/12 + n**3 + 4*n**2 + n. Let c be g(-6). What is the highest common factor of c and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -196.8 to the nearest 10.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 583057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1927330 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5291 is divided by 351.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:04 PM and 8:49 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -0.0614?\nAnswer: -0.02456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = -996085 - 17089598. Suppose -7861331 - m = -5*y. Round y to the nearest one hundred thousand.\nAnswer: 2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (8 - 2) + (27 - 0 - -3).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/11)\/(i\/i**(-10)))\/(i**9\/i**(-1\/8)) assuming i is positive.\nAnswer: i**(-1787\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-9)*(-54)\/3. Suppose 1 = -i - 0*i + 5*z, -4*z + y = 2*i. Let a = 1 + 7. Calculate the highest common factor of i and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s + 4. Let o be -2*(-1)\/(4\/(-6)). What is the remainder when a(-7) is divided by o - -2*14\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w\/w**6))\/w)\/(((w**(-14)*w)\/w)\/w)*w**(5\/2)\/w*w*w\/((w\/(w\/(w**(-1)\/w)))\/w))**(2\/39) assuming w is positive.\nAnswer: w**(53\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14597, 30612, 46627?\nAnswer: 62642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1125 divided by -5\nAnswer: -225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/3)\/j)**(-40))**(-26)*((j**(-1\/3)*j)**(-7))**13 assuming j is positive.\nAnswer: j**(-4342\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - 107.05. Let u = 111 + m. Which is the third biggest value? (a) 0.1 (b) u (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 192.5957 centuries to millennia.\nAnswer: 19.25957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - d - 5*y + 4, -4 = -d - y. Let u = -0.08 + -0.02. Which is the biggest value? (a) d (b) -1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 433414854?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 451.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 43*z**2 + 3*z - 10. Let b be s(2). Let y = -37 + b. What is the hundreds digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((300\/(-57))\/25)\/(2*-1)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 209551 and 492.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -22. Calculate the remainder when 95 is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t + 13. Determine y(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2941016 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 787 is divided by 768?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 1503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13591818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -405 rounded to the nearest 10?\nAnswer: -410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -109452890 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 112.4 + -5.5. Let x = 93 - h. Round x to zero dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 15*k**2 - 96*k - 76. What is the thousands digit of u(17)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(30)\/sqrt(50))\/(3*sqrt(48)))**2.\nAnswer: 1\/720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 23268*o - 209409. Calculate k(9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, j: 2}. Give prob of sequence jh.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -7*v**2 + 52*v + 5. Let w be x(6). Calculate the highest common factor of 559 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 + 35 + -83 + -22.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -1 - n**2 + 2*n + 0*n - 5*n. Let v(j) be the third derivative of 0 + 5\/6*j**3 + 87*j**2 + 0*j + 1\/20*j**5 + 13\/24*j**4. Give 9*b(c) + 2*v(c).\nAnswer: -3*c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 879*v**2 - 26289*v - 29. Give j(-31).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-495)\/(-20988))\/(345\/184)?\nAnswer: 2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 3*s + 2*i + 44, 0 = -3*s + 4*i - 76. Let a be (344\/s)\/(8\/230). Let v = -525 - a. What is the common denominator of -25\/6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g + 2781 = -53*g. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1179 + 1196. Suppose 3*o + 3 - 153 = 0. What is the remainder when o is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -75294*r - 1958. Let z(y) = -77*y - 2. Let h(f) = -2*l(f) + 1958*z(f). Let d(c) = 0 - c + 0. Determine d(h(n)).\nAnswer: 178*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 383c?\nAnswer: 3838","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-3 - -2) - 54. Let q be k\/(-6) + 2\/(-3). Suppose 0 = -i + 2*i - q. Solve -h = h + i for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 9:21 PM?\nAnswer: 11:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - b95a6?\nAnswer: -b95ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 26808 (b) -7 (c) -4\/3 (d) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.3, 5\/23, 4, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from ffffffffff?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3322912 is divided by 124.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*f + 6*f + 3*p, 16 = 5*f - 2*p. What is the nearest to 1\/7 in -4, f, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a6d95e (base 15) to base 2.\nAnswer: 11110010011010101000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -5. Let r = -0.2 - -0.1. Let t be (-4)\/10 - (-45)\/50. What is the biggest value in r, t, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 92 + -0.0253.\nAnswer: 91.9747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.57685 - -2.\nAnswer: 2.57685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (162\/6 + -15)\/6 and 16 - (1 + (-1 - 2))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.51657318 rounded to four decimal places?\nAnswer: -5.5166","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 943 = 38*b + 981 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/1*(-3 + 2537\/(-1032)*-24)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*s + 7*s = 209350. Suppose -11*h + s - 1525 = 0. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**2 - 9*g + 8. Let k be q(7). Let o = 6 + k. Which is greater: o or -5\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -g + 4, -5*g + 5 = -0*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3734072 to the power of 1\/3, to the nearest integer?\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 25*t - 6. Let c be f(5). Let n = 29 + -12. Calculate the greatest common factor of n and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 0 + 2*u + 2 + (-4 + 1 + 1)*(4*u + 0*u - 6*u))*(2*u**2 + 0*u**2 + 0*u**2).\nAnswer: 10*u**3 + 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1548*r - 292*r - 63346 = -293346 for r.\nAnswer: 125","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 + 19. Let g = 40 + o. Let k be (g\/(-6))\/((-4)\/1). Which is the nearest to k? (a) -0.2 (b) -2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 75138 and 17112.\nAnswer: 214293576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5*-1 + 3*558\/270. What is the second biggest value in 1\/4, b, -0.4, -19?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = 4*d - 0*h - 30979, -4*h = 4*d - 30944. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 43112 - 0?\nAnswer: 43112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -10*m**3 - 5*m**2 + 4*m - 3. Let c(x) = -x**3 + x - 1. Let g(y) = -4*c(y) - u(y). What is the tens digit of g(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t + 2*t + 2*t)*(-t**2 - 1 + 1) - t**3 + 3*t - 3*t - 5778*t**3 - 5523*t**3 + 9422*t**3.\nAnswer: -1878*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*k - 828 - 672 = 0. List the prime factors of 1524 + k - (-2 - 4\/(-1)).\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-163)\/(-4) + 14\/56. Let b be 3*-1 - (t - -6). Let j = b - -199\/4. Which is smaller: j or 14?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((h*h*((h*h\/h**3)\/h)\/h)\/h)\/h)\/h)\/h)\/h)\/(h*h**(-3)*h)*(((((h*h*h*h*h**(-4)\/h*h)\/h)\/h*h*h)\/h*h)\/h*h)\/h*h*h**(-7) assuming h is positive.\nAnswer: h**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/w**(2\/13))\/(w*(w\/w**(-2\/33))\/w) assuming w is positive.\nAnswer: w**(337\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2 - -6b65?\nAnswer: 6b63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**2)**(-27)\/((i**(1\/3)*i)\/i*i*i**(3\/10)\/i))**(-10\/7) assuming i is positive.\nAnswer: i**(1639\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 - 11. Suppose -4 = l*h - 10. Suppose 0 = 3*z - 3, 3*m - 17 - 223 = -h*z. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13198464 and 16080.\nAnswer: 65992320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 18 = 4*u, 61*u - 4*o = 56*u - 18 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -262, -813, -1714, -2965, -4566, -6517?\n\"Answer: -175*g**2 - 26*g - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 16 = 2*r - 6, 0 = 4*z + r + 5. Let l be 7\/(-35) - (z - (-27)\/15). Which is the biggest value? (a) l (b) -0.2 (c) 1\/6 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 62\/(-561) + (-1010)\/(-51510).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25272*s + 25160*s + 25227*s + 5*s**2 - 3*s**2 - 75706*s.\nAnswer: 2*s**2 - 47*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 5*w - 138807 = 214527, -2*f + 5*w + 117778 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1222242 rounded to five decimal places?\nAnswer: -0.12222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 13709600171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51503 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/21732, 66, 0, 0.2 in descending order.\nAnswer: 66, 0.2, 0, -1\/21732","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.406, -2, -1, 4\/9, 67?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4889 * 70.6.\nAnswer: 345163.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-507)\/(((-3)\/(-2))\/(-1)). Suppose 5*r - r - 107 = -p, 3*p - 5*r - l = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3\/(-5) + (-561336)\/(-10). Let r = a + -11133. What is r rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 402*t + 1990*t = -102856 for t.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10637118401059 - 49*z + 10637118401059.\nAnswer: -49*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-1 - 2) + -9 + 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -259 or 2\/5881?\nAnswer: -259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 4, u: 2, t: 1, o: 5, d: 1}. What is prob of sequence cg?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 69 = 73, -3*z - 24 = 3*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2357 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 73200.3 * 79\nAnswer: 5782823.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4437 - -5\nAnswer: 4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-28)\/(-77))\/2)\/(6\/22).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = x + 3*u, 2*x + 4*u - u = 22. Suppose -27*d - x = -31*d. Solve -c - 5*m = 13, -4*m = -d*c - 2*c + 20 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -4 and 3452954.7.\nAnswer: 3452950.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1338 + 1340. Solve -a*i = -10 - 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**4\/4 - 8*g**3\/3 - 4*g**2 - 7*g + 1. Let a be z(9). Find the second derivative of -2*r - 2*r**a + r**2 + 3*r wrt r.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 5693*c**2 - 341581*c + 53. Calculate d(60).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2988 divided by -16429\nAnswer: 2988\/16429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -451245 - -2.8?\nAnswer: -451242.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 335*g - 330*g - 2*w, 4*g - 9 = 3*w for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 51570.04 tonnes in milligrams?\nAnswer: 51570040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrwrwwrw. Give prob of sequence rrw.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 - (-9 - -3)\/(-2). Let x(y) = y**3 + 7*y**2 + 7*y + 3. Let a(t) = -t**3 - 8*t**2 - 8*t - 3. Let l(q) = f*x(q) + 4*a(q). Calculate l(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q + 4*q - 16. Suppose 2*k - 28 - 10 = 0. Suppose 0 + 6 = q*r - 2*w, 0 = r + 3*w - k. What is the smallest common multiple of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82114964.\nAnswer: 2, 17, 41, 29453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2804 and 2?\nAnswer: 0.5608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1148*z**6 - z**4 - 15334*z**2?\nAnswer: -137760*z**3 - 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -160*h**2 + 109*h + 5. Let l(w) = 79*w**2 - 55*w - 3. Let b(a) = -5*l(a) - 3*z(a). Find the second derivative of b(o) wrt o.\nAnswer: 170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**0*r)**(1\/39)\/(r**(-1)\/r*r*r**(1\/3)) assuming r is positive.\nAnswer: r**(28\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 4*f**2 + 5*f - 6. Let w(z) = -7*z**2 - 10*z + 12. Let v(i) = -5*l(i) - 3*w(i). Does 9 divide v(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 16) to base 10.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.4 + -2. Suppose 5*x + 15 = -0*x. Let r = -1.1 - -1. Which is the nearest to r? (a) x (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/16)\/(522\/(-464)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 31*w + 43036. Is 22 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*c + 0 + 2 - 3*c**2 - 5 + 14*c + 4*c**3 + 2 as u*c**3 + b*c + h*c**2 + l and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -2*d + 5*h + 1, 14 = -5*d - h for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -12. Put 4, 3, -1, u in ascending order.\nAnswer: -1, u, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -226 - -248. What is the highest common divisor of r and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -3*s + 119 + 138, -s + 94 = 2*g. Suppose -127*a - 4*f + 96 = -125*a, -f = 0. What is the highest common factor of a and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 times 90258.186?\nAnswer: 631807.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2402 (base 5) to base 13.\nAnswer: -211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 274138483 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -5058179 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 59876869 and 7.\nAnswer: 419138083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.636, -1, 0.7, -1.1 in descending order.\nAnswer: 0.7, 0.636, -1, -1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d - 3. Let c be p(-4). Suppose 4*z - 654 = -z - 4*x, -c*z = -5*x - 690. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -5*g. Let n(f) = -166*f + 654*f - 162*f - 169*f - 163*f. Calculate 3*n(m) - 2*v(m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86150 is divided by 85710?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 36*k - 39*k + 14, -4*k + 14 = -5*v for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -130*b**3*i**2 + 2*b**3*i + 2*b**3 - 2*b**2*i**2 + 26*b**2*i + b*i**2 + 42*b*i - 12*i**2 + 140*i wrt i.\nAnswer: -260*b**3 - 4*b**2 + 2*b - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 885.\nAnswer: 3, 5, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216688164*s + 0 + 216688166*s + 0.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3800018 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -864.903584 rounded to the nearest integer?\nAnswer: -865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hiii when four letters picked without replacement from {i: 3, h: 13}?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 155475234?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -64, -70, -94, -142?\nAnswer: -220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + 16 + 8. Solve 0 = 4*d - o for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 935*t**5 - 9*t**3 + 10*t**2 + 7*t - 2299 wrt t.\nAnswer: 56100*t**2 - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -57 + 30?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2889 + -1420. Is 39 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 936139 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -33, -35, -35, -33, -29?\n\"Answer: m**2 - 5*m - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.1569915 * 0.086.\nAnswer: 0.099501269","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 266153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/18 - 68\/(-18). Suppose i - 1648 = 7*x - 3*x, n*i - 6592 = 5*x. Let r = i + -1013. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0256 * 16.68\nAnswer: -0.427008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68242*z + 3*b + 6 = -68243*z, 0 = -3*z - 2*b - 18 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63095267 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 5.12. Let s = 5.12 + m. Let d be 6\/8 + (-65)\/(-20) - (-47)\/(-12). What is the closest to d in s, 0.5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in nineteen quarters of a millennium?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(76))**2*5.\nAnswer: 20*sqrt(19) + 385","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w*w**(-2\/13))\/w)**(-11\/9)\/(w**(-6)\/(w*w*w*w\/w**(-5))) assuming w is positive.\nAnswer: w**(497\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -p + 16. Let n = -2 + 1. Let k = -0.6 + 0.9. Which is the closest to -2\/3? (a) p (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132436826?\nAnswer: 2, 66218413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 4*l**2 - 4*l + 1. Let v be q(-5). Is -7\/2 > v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -8*a + 5. Let d = -8 - -14. Let l(w) = 9*w - 6. Let q be 4\/(-12) + 550\/75. Determine d*l(i) + q*y(i).\nAnswer: -2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30353 and 5975.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and 0.097936562.\nAnswer: -3.902063438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 198139 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 56 = 3*i, -5*i = 4*k - 41 - 23. Let o = 34 - 23. What is the least common multiple of k and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + 481*p**2 - 942*p**2 + 2 - 2 + 461*p**2.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 29990 divided by 13\nAnswer: 29990\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 117 and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 - 6*g**2 - 2*g + 2. Let d be s(-6). Let v = -0.33141 + 0.43141. Which is the closest to 2\/3? (a) d (b) 5 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.8 - -19.18. Let l = -0.029 + -0.851. Let x = k + l. What is the closest to 2 in x, 3, 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -44.88 + 39.88. Sort -0.5, 3\/5, -12, a in increasing order.\nAnswer: -12, a, -0.5, 3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a = 4.967 - -0.033. Let x = 106.3 + -111. Let p = a + x. Put p, 2\/11, -0.3 in descending order.\nAnswer: p, 2\/11, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/4784 and 44\/11661.\nAnswer: 186576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 35521695 to the nearest integer?\nAnswer: 329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -171344*j**6 + 34*j**2 + 3*j + 72.\nAnswer: -20561280*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 7*h**2 - 19*h - 17. Let y be q(-9). Let g(c) = -2*c - 11. What is g(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10*i + 47. Suppose 5*x - 63 = 122. What is the remainder when m(6) is divided by x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 137751225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2378 and 1779355146.\nAnswer: 2378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.91 times 303840\nAnswer: -276494.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/187 in -0.5, -1\/457, -2\/23, 8.9?\nAnswer: -1\/457","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6917?\nAnswer: 6917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 at most 1\/1821450?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1770245 by -2435.\nAnswer: -727","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wy when two letters picked without replacement from yyuwyucuwwu.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 67289378287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -173434, -346844, -520254, -693664, -867074, -1040484?\n\"Answer: -173410*n - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 3*h + 3 = 0, 2*s = h + 15 + 2. Suppose 2 - s = -j + y, 4*j + 8 = -4*y. Which is smaller: j or 13?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 632, 716, 800?\nAnswer: 884","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12382324217 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (5 + 3 + -10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 2*y**3 - 4*y**2 + 3*y. Let v be g(2). Let s(x) = 96 - 204 + 93 - x**2 + 9*x. What are the prime factors of s(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/4)*q*q*q\/(q*q\/q**(2\/9)))**(1\/66)\/(((q*q\/(q\/((q*q**(-2\/21))\/q*q*q*q))*q)\/(q*q**(2\/5)*q))\/((q*q*q*q**4)\/(q**(-2)*q))) assuming q is positive.\nAnswer: q**(458209\/83160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2201322 and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1707 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.82 + -4.82. What is the third biggest value in w, 0, -1\/2, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 2*p + 12. Let s(q) = 0*q**2 + 6*q**2 - p*q + q**3 + 0*q**2 - 9. Let d be s(-6). Calculate the greatest common divisor of d and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand z - 2 + 2 + (z - 3*z + z)*(3 - 3 + 2) - 131*z - 26*z - 78*z + (0 + 3 - 2)*(0*z - 4*z + 3*z).\nAnswer: -237*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -p**5*w**2 + 5*p**2*w**2 - p**2*y + p*w**2*y + 4*p*w*y + 12*w**2*y wrt p.\nAnswer: -20*p**3*w**2 + 10*w**2 - 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.19 + -1.81. Let r = -0.07 + -0.23. Let n = r - -0.4. Which is the nearest to n? (a) -3\/2 (b) 4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 290984 or 290988?\nAnswer: 290988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -6*a - 79. Let b be l(-13). Sort 85, b, 4, -18.\nAnswer: -18, b, 4, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 293414924?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9)\/((m*m*m**(5\/2)*m)\/m)*m**(1\/7)*m*m\/(m*m\/m**(-2\/5))*m)**(-6\/17) assuming m is positive.\nAnswer: m**(2507\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (27\/1)\/(-3) - (-2640)\/176\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 21*u**3 - 3*u**2 - 343. Let j(o) = -55*o**3 + 8*o**2 + 1029. Determine 3*j(v) + 8*m(v).\nAnswer: 3*v**3 + 343","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -2. Suppose -u - 12 = -3*b, 5*b - 5 - 5 = 0. What are the prime factors of (-9)\/u*(j - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uaaabibawwiawa. What is prob of picking 1 a and 1 w?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -106.15 and 2.\nAnswer: -212.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -117*v**2. Let t(s) = -12*s**2 - 858*s. Calculate t(o(u)).\nAnswer: -164268*u**4 + 100386*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -34\/17396837 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 145*z**2 + 8. Let n(f) = 391*f. Calculate b(n(o)).\nAnswer: 22167745*o**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 - 9*u**2 - 6*u + 13. Let k be f(-8). Let v(s) be the first derivative of -s**4\/2 - s**3\/3 - 3*s**2 - 7*s + 2. What is the tens digit of v(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3932 (base 10) in base 9?\nAnswer: 5348","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*c - 20 = -21*c. Let x be (c\/(-14))\/((-10)\/(-20)). Is 1 less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.9693 - -2.3693. Which is the second smallest value? (a) 2\/13 (b) f (c) 2\/7 (d) -492\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 6*q = -128. Is q a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6333393.\nAnswer: 3, 11, 31, 41, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 16*t - 998. Give q(62).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -2*d - 9, 3*g + 9*d - 4*d + 7 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 808.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15 and -113260295.\nAnswer: -113260280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 q when three letters picked without replacement from xhhhxhbsqihhhhbqxh.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 6. Is z at most 1\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -12565, -12568, -12573, -12580?\n\"Answer: -g**2 - 12564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*p = -8*p + 89958. List the prime factors of p.\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 1. Let m be (-1 - z) + 9 + -1. What is the third derivative of 3*q**m + 2*q**4 + 6*q**2 + 2*q**2 wrt q?\nAnswer: 120*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-63)\/(-36))\/(182\/(-52))\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -5 + -1*(7 - (3 - 3)). Let h(g) = -g**2 - 11*g + 13. Calculate h(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2108 and 744?\nAnswer: 12648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -170.25 rounded to the nearest ten?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27355826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3191.255 litres in millilitres?\nAnswer: 3191255","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.999271 rounded to one decimal place?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 240602?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/10 - (-816)\/40. What is the highest common factor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 - 4*d - 10. Let b be x(-5). Let z = 42 - b. Suppose -33 = -3*h + z. What is the highest common factor of 210 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 8482aa?\nAnswer: -8482a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -5. Let g(y) = 2*y + 1. Let b be g(c). Suppose 0*q - q + 14 = -5*u, 2*q - 49 = b*u. Is q a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103689 or -0.009?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, n: 4, z: 9}. Give prob of picking 2 n.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4110?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9723156 to the power of 1\/4, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 233 (b) -27 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (4 + -2 + 13). What is the units digit of 38\/8 + r\/20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 13*t**2 + 4*t + 3. What is r(2)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11391 is divided by 37?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 14438910 + 4*i**3 + 2*i - 14438723 to the form j*i**3 + t*i**2 + p + n*i and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -25. What is the highest common factor of 12 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -3*x**2 - 10*x + 36. Let h be y(-6). What are the prime factors of 7\/(-14)*h*17?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9055832 and 0.077.\nAnswer: -9055831.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + y + 267 = 2*z, -5*z + 2*y + 662 = 0. List the prime factors of z.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-33)*(-504)\/28)\/((-6)\/10)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56975 = -1564*f + 517*f - 109*f - 825 for f.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1229749 a multiple of 827?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -16 and 4.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1680*v = -885*v - 898*v + 412 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-2\/13)*h)**35\/(h*h\/(h*h**(2\/3)))**(-4\/27) assuming h is positive.\nAnswer: h**(68092\/1053)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151*x - 160 = 80*x + 69*x. Calculate the greatest common factor of 8080 and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20\/3 - -7. Let j = -68.52 + 68. Let h = -0.82 - j. Which is the nearest to -1\/2? (a) m (b) h (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33)\/sqrt(12) + sqrt(11)*2 + 1 - ((sqrt(132)*-1)\/sqrt(12) + (sqrt(11) - (sqrt(11) - sqrt(33)\/(sqrt(3)*2))))) + -4)**2.\nAnswer: -18*sqrt(11) + 108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75626*x**3 - 16*x**4 - 4 + 75626*x**3)*(0 + 5 - 3).\nAnswer: -32*x**4 - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -133 + 58 + 3*r**3 + 75.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 146, -0.3, 0.5, 0.3, 1240 in descending order.\nAnswer: 1240, 146, 0.5, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -145603577*a**5 - 205741788*a**2.\nAnswer: -8736214620*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2511532, 5022963, 7534392, 10045819, 12557244, 15068667?\nAnswer: 17580088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11151 - -22604. What are the prime factors of o?\nAnswer: 13, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -10?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wid when three letters picked without replacement from wdwiiidiw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -111187 + 1447422\/13. Let r be 34*((-14)\/(-4) - -1). Let k = r - h. Which is greater: k or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (72\/8 + -9)\/(-2 - -1). Let t be -2*(-1)\/(2 - 1). Suppose -2*i + y*i = -2*h - 210, -t*i + 4*h + 204 = 0. 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: -9 divided by -95\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 38802.4308 minutes in weeks?\nAnswer: 3.8494475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(10\/(-4) - -1). Solve -3*a + 3 + 2 = -4*z, -f*a = -5*z - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11.1303 - 1.1433. Let g = d - -16.27366. Let q = -4 + g. What is q rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1778098?\nAnswer: 2, 7, 17, 31, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - 5*d**2 - 2. Let a be g(-5). Let l(n) = 14*n. Let x be l(a). What is the tens digit of (-8)\/x - 262\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 526 - 13153\/25. Let p be (328\/(-150))\/(-4) - 1. Let l = p - x. Which is smaller: l or 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the second derivative of -11 + 9\/2*b**2 - 7\/6*b**3 + 2*b. Let i(p) be the first derivative of 2*p**2 - 5*p - 1. Calculate -5*i(n) - 3*j(n).\nAnswer: n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7024 or -7021?\nAnswer: -7021","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*b - 4*n, -4*n = -4*b + n - 16 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-20)\/22 + (-220)\/1210.\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {t: 1, n: 3, a: 5, g: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*j + 8*j - 164 = 56 - 10, -5*j + 5 - 15 = -9*u + 16 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -5 - 115*a**3 - 2*a + 69*a**3 + 3 - 125*a**3 + 2*a**2. What is the units digit of r(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -2*t + 9*t**2 - 8*t**2 - 2*t. Let m be n(5). What is the second derivative of 0*b**m + b - 3*b + 3*b**5 + 6*b wrt b?\nAnswer: 60*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-307620)\/(-13) - (94 + -97)\/(-39 - 0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + 4*(sqrt(5445) + -1) + sqrt(5445)).\nAnswer: -165*sqrt(5) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13922?\nAnswer: 2, 6961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 33558031?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w - 1. Let a be r(1). Let h(y) be the first derivative of 0*y**2 - 4*y + 2 + a + 8*y**2 - 4*y**2 + 4*y**3. Find x such that h(x) = 0.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*g - 2*g - 6*g)*(-3 - 1 + 2).\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 5*a**2 - 4*a - 9. Let t be f(-6). Suppose 4*h = -0*h - y + 73, 3*h = 3*y + t. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the second derivative of 0*n**2 + 110*n + 0 + 19\/6*n**4 + 0*n**3. Let i(k) = -5*k**2. Calculate i(b(s)).\nAnswer: -7220*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ayc when three letters picked without replacement from ichivcyvhavicyca?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t = -w + 20, 2*t + 2*w + 16 = 0. Sort -5, 5, t.\nAnswer: t, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 5*p - 65, 4*q = -0*p + 2*p - 48. Suppose -20*u + 13*u + p = 0. Suppose -x = -y - u*x + 9, -2*y + 3*x + 3 = 0. Solve 0 = -w + y*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11 + 13. Suppose -y + 2*f + 11 = -0*y, z*y - 5*f = 25. Suppose -14 - 11 = -y*u. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 310 divide 604810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, t: 3, n: 3, h: 6}. What is prob of picking 1 n and 2 t?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 182, 1436, 4846, 11492, 22454, 38812, 61646?\nAnswer: 92036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 25 = 29 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 15) in base 7?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -69017\/204 - 1628\/17. Suppose 2211 = -5*g - q + 3, 3*q = 5*g + 2216. Let d = n - g. What is the common denominator of -91\/2 and d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**21)\/(n*n*n**22)*n**11\/n**6)**(-2\/27) assuming n is positive.\nAnswer: n**(-2\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -1 + y - 4 + 3*y**2 + 4 + 2*y**3 + 2*y**2. Suppose 0*h + h - 3 = -k, 0 = 2*k - 5*h - 13. Is w(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from dttdzttzzzdtt?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.714393174 to three dps.\nAnswer: 1.714","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119913274.\nAnswer: 2, 13, 17, 41, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(3\/8)*q)**(-24\/5))**(-1\/9) assuming q is positive.\nAnswer: q**(11\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.5, 0.5, -2, -0.14, 19395, -1?\nAnswer: 19395","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5.9 or -2\/241?\nAnswer: 5.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 63951 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -75 * -0.2\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*r = -35*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2067803654 to the nearest integer?\nAnswer: 1274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/8850 and -127\/1331040.\nAnswer: 6655200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*n - 5*c - 5, 106 = -2*n + 2*c + 216 - 108 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*s**4 + 66*s**2 + 61*s**2 - 128*s**2 + (-2*s**3 - 2*s**3 + 2*s**3)*(-5*s - 2*s + 5*s).\nAnswer: -s**4 - s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2819, 4, -8, 22 in ascending order.\nAnswer: -2819, -8, 4, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-44886)\/1)\/((-2)\/6). Let m = -14138743\/105 + q. Let u = m - -39\/140. What is the common denominator of -109\/20 and u?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a hour in seconds?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 732?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2859*d + 15578*d - 3295*d - 3719*d - 3792*d.\nAnswer: 1913*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 7. Let l = 13 - 13. Let s(k) = -k**3 - k**2 - k - 1. Let w be s(l). Which is the nearest to w? (a) -0.3 (b) p (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 8:44 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-84)\/(-252)*30\/(-9)?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1726138 - -1726138.2499938. Let t = 0.25 - p. Round t to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 AM and 5:24 AM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4228645446 to the power of 1\/8, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -100 - -104. Suppose -11 - 73 = -4*o + k*h, 3*h = -3. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 + 49.9. Let a = 1.1 + s. Put -2, a, -5 in descending order.\nAnswer: a, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 473 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 350443447?\nAnswer: 79, 4435993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2344\/472 - (-48)\/1416\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -9.3094?\nAnswer: 18.6188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3 + 10*m**2 - 200*m.\nAnswer: m*(m - 10)*(m + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 80 = 4*h, -2*h + f - 989 = -1033 for h.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -24. Solve -z - 2*z - 2*t - h = 0, -5*z + 5*t + 25 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13802 = 13802?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g*g*g\/((g**(-7)*g*g)\/g)*g\/g**(2\/13)*g*(g**(-2))**(-14) assuming g is positive.\nAnswer: g**(505\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4569\/5*w**2 + 122\/5*w**3 - 1\/5*w**4 + 51728\/5*w - 179776\/5 = 0.\nAnswer: 8, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = -4*f + 4*t, -2*t - 51 = -3*f - 3*t. Suppose -3*z = x - 0*x + 11, 5*z = -2*x - f. Solve -x*v + 4*y = 2*y - 16, 4 = -2*v - 5*y for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7247 = -14*k + 5409. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 476649 is divided by 739?\nAnswer: 733","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 286*u + 58511. Calculate d(-205).\nAnswer: -119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + 12*p**2 + 11*p + 2. Let x be j(-11). Put x, 4, -2 in decreasing order.\nAnswer: 4, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-72)\/(-336)*14\/12.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34133 - 34132.9. Which is the smallest value? (a) -3\/2 (b) -5 (c) v (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*o**3 + 10176*o**2 - o + 156290 wrt o.\nAnswer: 12*o**2 + 20352*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of l**2*v**2 - 325*l**2*v + l**2 - 445*v**2 wrt v.\nAnswer: 2*l**2 - 890","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*((-1092)\/(-1008))\/((-5)\/40)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.087, -2\/15, -17, 3 in decreasing order.\nAnswer: 3, 0.087, -2\/15, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019547 to three decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 + 3 - (-8 + 10))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(114)*-1)\/((sqrt(2430) + 1*sqrt(2430))\/sqrt(5)) + -3.\nAnswer: -3 - sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -82632, -165258, -247882, -330504, -413124?\n\"Answer: u**2 - 82629*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -4*r**4 + 35404*r**3 - 31560220*r**2 - 63226668*r - 31631040 = 0.\nAnswer: -1, 1008, 7845","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 58 + -55. Suppose -3*f = 4*v - 4*f - 164, -h*f = 0. Find the third derivative of 21*z**2 + v*z**6 + z - 65*z**6 - z wrt z.\nAnswer: -2880*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.292 + -53.808. Round q to zero decimal places.\nAnswer: -54","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 16 - 8. Suppose -i + g*i - 30 = 0. Is -21*(-4)\/i + 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from pdp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1573) + sqrt(1573) + sqrt(1573)*-3)**2.\nAnswer: 22*sqrt(13) + 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 2*u + 11796, u + 2086 = 3*t - 15612. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -2*d - 18, 4*k + 7*d - 3 = 4*d. Suppose 0*u + 8 = k*o - u, 16 = o + 3*u. Solve b = -o*j + 1, 3*j + 2*j - 8 = b for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 - -0.01264037.\nAnswer: -0.58735963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*t + 12 - 35, 44 = 3*o - 5*t. Suppose -f - 5*u = -1466, 7206 = o*f - 8*f - 6*u. Is f a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315742 - 1.\nAnswer: 315741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*r + 10356 - 1468 = 0. Calculate the remainder when r is divided by 60.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i + 13. Let k be d(12). Let p(s) = -s - 1. Let g(v) = -6*v + 24. Let w(l) = g(l) - 2*p(l). Let r be w(6). Put 5, k, -1, r in increasing order.\nAnswer: -1, k, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 - p**2 - p - 32. Suppose -500*a + 510*a = 0. Give u(a).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 33*q**2 - 43*q + 391. Is 230 a factor of m(41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.064 - 1592.6.\nAnswer: -1592.664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8055.903 years to centuries.\nAnswer: 80.55903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -54. Calculate the remainder when k is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**2 - 13*g - 4. Let m(o) be the second derivative of -o**4\/2 - 2*o**3 - 5*o**2\/2 + 3*o + 225. Give -4*m(l) + 5*w(l).\nAnswer: -l**2 - 17*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/17, 126, 78 in ascending order.\nAnswer: -6\/17, 78, 126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446 equal to 1447?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -43a007 + -2?\nAnswer: -43a009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (12 + -3) - -4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 566 + -405. Is 25 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.15011 centuries in years?\nAnswer: 2415.011","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m**2 - 12*m + 67. Determine b(7).\nAnswer: -262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 2*z**2 + 10*z - 4. Let m be p(2). Suppose -22*k + 27*k + o = 424, m = 3*k - 5*o - 260. What is the remainder when k is divided by 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -199 (base 10) to base 5.\nAnswer: -1244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2808 divided by 3?\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (212*p - 427*p + 64 + 213*p)*(-5 + 4 + 3)*(-2*p**2 + 4*p**2 - p**2).\nAnswer: -4*p**3 + 128*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -71 + 69. List the prime factors of (-6 + 5)*-146 + s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77212567?\nAnswer: 77212567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21 by -58892.\nAnswer: 21\/58892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 42645193 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 109\/455 - -3\/65. Let y = 1\/7101 + 42599\/49707. Which is the smallest value? (a) y (b) p (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2999 minus -8891.643975?\nAnswer: 5892.643975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18 (base 16) to base 12\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67518.\nAnswer: 2, 3, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*v + 1791 - 612 = -25*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -2*z**3 + 9*z**2 - 4*z. Let j(d) = -4*d**3 + 17*d**2 - 7*d. Let s = -13 - -9. Let l(r) = s*j(r) + 7*c(r). Find the third derivative of l(m) wrt m.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12)\/36*6*(-6)\/(-4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*k - 3*k + 4*k - 4*k + 0*k + k + k - 5*k + 6*k + (-4 + 1 + 5)*(2*k + k - k) + 2*k - 3 + 3 + 4 + 2969*k + 2903*k - 5937*k.\nAnswer: -61*k + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25183?\nAnswer: 25183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of -d**5\/20 - d**4\/2 - d**3\/3 - d. Let t(b) = -982*b + 11779. Let r be t(12). Calculate y(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 220331293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 43.7 - 50.01. Round m to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15192882.\nAnswer: 2, 3, 463, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 76\/1 + -9 + 9 + -6. Put 4, d, 2 in decreasing order.\nAnswer: d, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 127409.8 millennia to decades.\nAnswer: 12740980","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Is 1011\/2*1768\/156 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1457807*j**2 + 2415251*j.\nAnswer: 2915614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(4 + -1 + sqrt(44) + (sqrt(220) + sqrt(220)*1)\/sqrt(5)).\nAnswer: -12*sqrt(11) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-66)\/(-33))\/((-33)\/(-12))*1\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b\/b**(3\/5))\/b**(-10))\/(b**(-8)*b**(-1)\/b))**(1\/7))**(2\/25) assuming b is positive.\nAnswer: b**(214\/875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110101001001111 (base 2) in base 16?\nAnswer: -16a4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28208263.\nAnswer: 421, 67003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**4\/4 - 7*b**3\/2 + 17*b**2\/4 - 3*b\/2.\nAnswer: b*(b - 3)*(b - 1)*(3*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*h, -3*h - 3 = -2*q - 2. Factor -2*c**q - 3*c**3 + 2*c - c + 4*c**3.\nAnswer: c*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22 - 3*v + 442*v**4 - 833*v**4 + 417*v**4 + 16 + 8*v**5 wrt v.\nAnswer: 160*v**3 + 312*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1682?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 + 103 = -59*t + 618 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13805852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -120297 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3047894*f**2*k - 134*f**2 - 9100*f wrt k?\nAnswer: 3047894*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 18\/5 of a kilometer?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5017174 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -1208*i + 4 - 2 - 751*i - 1023*i - 4 as a*i + u and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/(-16))\/(-1)*24\/(-22)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 6, -d - 5*h + 1 = 3*d. Solve 3*s + 3 - 10 = -4*r, 0 = -d*r + s + 3 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1521*r - 1211 - 1225*r - 476*r - 1668*r + 6045 wrt r.\nAnswer: -4890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 714256.\nAnswer: 2, 44641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3370 - 3370 - 392*h.\nAnswer: -392*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 42 (base 12) to base 2\nAnswer: 110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + 2*-1*sqrt(76) + sqrt(76) + 3*(sqrt(76) - (-1*sqrt(76) + sqrt(76) - sqrt(76)))*3)*-1 + 4)**2.\nAnswer: -136*sqrt(19) + 21968","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1106818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 639 = 5*m + 5*n + 634, -5*m + n + 17 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(-4 + 4 + sqrt(396) + -4 + -6*(-4 + sqrt(396)))*-6)**2.\nAnswer: -43200*sqrt(11) + 370800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1977 + 3411. Let t = 4371 - l. Let z = -232 + t. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -134*a + 481. Let t be o(9). Let r = 1750 + t. What are the prime factors of r?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 597?\nAnswer: 3, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -87*s - 21. Let y(c) = c**2 - 9*c - 25. Let u be y(11). Let l be r(u). Calculate the highest common factor of 24 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37868602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 118*1*6\/12. Let j = i + -26. Let q = -13 + j. Does 11 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 26 - 30. Suppose 3*l - 4*s + 13 = 0, 6*l + 11 = l + 4*s. Suppose 2*d = 17 - 3. Solve l = -h*r - d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 5*o**2 + 2*o + 7. Let f be m(-5). Let a be -1*4\/2 - f. Let h be (-5 + 33\/6)\/((-30)\/20). Is a < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10232 (base 6) to base 15\nAnswer: 628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 85\/(-342) - 495\/(-18810). Let f be 0\/(-3) + (-2)\/8. Which is the third biggest value? (a) -12 (b) -1\/7 (c) f (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23\/(-115)*(2 - 0).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.196 + -0.004. Let r = 0.3 - q. Sort r, -3, 2\/5, -2 in descending order.\nAnswer: r, 2\/5, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8519 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + 2. Let j be (-4)\/26 - 804\/(-156). Suppose 0 = -p + j*p - 8. Sort -3, m, p.\nAnswer: -3, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 17*y + 104 = -136 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 v when two letters picked without replacement from {v: 12, h: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2385*p - 42948. What is c(18)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21 + -7. What is the first derivative of 2 + 3 - j - 7*c**3 + 5 wrt c?\nAnswer: -21*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(153))*6 - (sqrt(153) + 2 + 5 + sqrt(153)))**2.\nAnswer: -456*sqrt(17) + 2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1113 - -25302. What are the prime factors of d?\nAnswer: 3, 5, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8373 = -195*d - 103*d + 2653 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from {k: 3, b: 3, t: 1, g: 3, j: 1}.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 165953 + -59032. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j*j*(j\/((j*j**(-3)*j)\/j))\/j)\/j**(-6\/11)*(j\/((j*j**(-2)\/j)\/j))\/(j\/(j**(-5)*j)*j)*(j**(-2\/3)\/(j**(1\/8)\/j))**(-25) assuming j is positive.\nAnswer: j**(-175\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 319, 638, 957, 1276?\n\"Answer: 319*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -167350*c**4 + 84920*c**4 - 2*c**2 + 84331*c**4 + (-2*c**3 - c**2 + c**2)*(2 - 2*c - 2) in the form s*c + o + r*c**3 + w*c**2 + t*c**4 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 0*i + 30 = 0. Let r be (3\/i)\/((-2)\/8). List the prime factors of ((-50)\/40)\/(r\/88).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*(1 + -5 + 3*(sqrt(2268) + 1)))**2.\nAnswer: -24300*sqrt(7) + 4592925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u - 4*u - 2*u)*(-39*u - 131*u - 64*u).\nAnswer: 234*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21703 divided by 40.\nAnswer: 21703\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**6\/48 - 13*i**5\/120 + i**4\/12 + i**3\/3 - 13*i**2. Let j(c) = 0. Calculate c.\nAnswer: -2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 + 5*u**2 - 2*u - 6. Suppose -12*k - 5*j = -11*k + 30, -10 = 3*k - j. Determine h(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, 17, 37, 57?\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (169\/13 + -12)\/(1\/(-13))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*q = 0. Suppose -i + 63 = -q*i. What is the highest common divisor of 7 and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1 + (sqrt(80) - (0 + sqrt(80)))**2 - sqrt(80)) - (4 + -3*(sqrt(405) + sqrt(405)*-2 + sqrt(405))**2).\nAnswer: -8 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.9, -93, -0.3, 1\/2, -6 in increasing order.\nAnswer: -93, -6, -0.3, 1\/2, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in -0.2, 1\/2, 250?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 275*c + 239*c - 13128 = -580*c for c.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -18430 or -20523?\nAnswer: -20523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 32977795 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.629 to zero dps.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 460, 467, 478, 493?\nAnswer: 512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61537407713 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.048319mm in meters?\nAnswer: 0.000048319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*m + 32*m + 11 - 115 - 41*m + 2*m**2 - 24*m in the form r*m + u*m**2 + g and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kqqkqsiqqpqkq. Give prob of sequence qip.\nAnswer: 7\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1293 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/12 and -11\/3531225?\nAnswer: 14124900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**2 - 5*d - 9. Let g be f(-9). Let x be g\/72 - 2*3\/(-6). Which is the biggest value? (a) 1 (b) 3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.064864 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20269 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 449 - 1523*b**2 - 848 - 711*b**2 + 399.\nAnswer: -2234*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -4600.87 to the nearest ten.\nAnswer: -4600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -105 = 3*i - 4*i. Let p = -51 + i. Is p a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -282*s**3 + 5*s**2 - 2361*s - 2365. What is i(-1)?\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u - 6. Let k be v(6). Let z(t) = 3*t**2 + 46*t + 18. Let r be z(-15). Solve -y = -k*y + g + 3, -r*y + 23 = -5*g for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*p + 14*p + 15. Let t be ((-88)\/(-12))\/(2\/p). Solve -3*v - t = -2 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 357*k**3 - 113*k**2 - 2*k = 0 for k.\nAnswer: -2\/119, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 42 - 40. Suppose -l + 891 = 2*a, 6*l - s*a = l + 4479. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1325 - 1325 - 836*l)*(-2 + 3 - 3) - 2*l - 1 + 1 + (-2*l - 3 + 3)*(2 - 1 + 0)*(-2 + 1 + 0).\nAnswer: 1672*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49949?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 0 - 62 = 0. Differentiate v*x**3 + 40*x**3 - 71*x**3 - 19 - 3*x**4 with respect to x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d + 2. Let l be z(-2). Let u be (-57)\/(-2) - 2\/l. Solve 5*f - 5*q = 2*f, -5*f = q - u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2*(-250)\/2750)\/(6\/22)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 - 2\/5*f**2 - 16\/5*f.\nAnswer: -2*(f + 3)*(f + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*v = -117*v + 195. Solve v*s + 26 = 2*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 221620\/7910 + 5\/((-25)\/140)\nAnswer: 2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the first derivative of -3*z**2\/2 + 406. Let t(r) = 29*r - 22*r + 1 - 1. Determine y(t(f)).\nAnswer: -21*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*r - 9*r. Let z be 1\/1 + r\/18. Let x = 339\/5 + -68. Put z, -4, x in increasing order.\nAnswer: -4, x, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -31, 1, 20, -5, 9, 4 in ascending order.\nAnswer: -31, -5, 1, 3, 4, 9, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -56, -263, -608, -1091, -1712, -2471, -3368?\nAnswer: -4403","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0615 + -3.9385. What is the second smallest value in 63\/5, 5, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 91*b - 1204. Determine p(-16).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -6028*q**3 - 2*q**2 + 1. Let i be v(1). Let n = i + 48161\/8. What is the common denominator of n and 137\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 7:30 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -6*r - 2. List the prime factors of f(-6).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4778, -5484, -6190, -6896, -7602?\nAnswer: -8308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3092112 by 773028.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4292 and 4015832.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7840.616005376 - -7801.916. Let t = -38.7 - g. Round t to 7 decimal places.\nAnswer: 0.0000054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/8)\/((-9)\/(-8))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 71 divided by 16.\nAnswer: 71\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + 3)*6\/15. Let c be (-37)\/y*194\/4. Let l = c + 2717\/3. Find the common denominator of l and 45\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, f: 4, n: 1, x: 4}. What is prob of sequence nxb?\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -350 + 350. Solve -3*m + 2*v - 17 = v, -5*v + 25 = p for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252)\/sqrt(150) + (sqrt(42) - (sqrt(42) - sqrt(210)\/sqrt(5)*-2)))\/(sqrt(48)\/(4*sqrt(8)*1)).\nAnswer: -36*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 36*p - 34. Suppose -a + 37 = 2*t, -34*t = -2*a - 36*t + 74. Let y be m(a). Solve 0 = -n, 3*h + 2*n + 6 = y for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of 2\/3*c**3 + 1058*c + 46*c**2 + 38. Factor g(z).\nAnswer: 2*(z + 23)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from vqqjycjqqvyqqqcqq?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 291678657.\nAnswer: 3, 97226219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -312 - -6497. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 323, 465, 587, 683, 747, 773?\nAnswer: 755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 28400 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/34*4\/(-63)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35946152 divided by 1.\nAnswer: -35946152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.3, 2306 in descending order.\nAnswer: 2306, 4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 267.09862 to 1 decimal place.\nAnswer: 267.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, l: 3, f: 1, g: 1}. What is prob of picking 1 f, 1 g, 1 l, and 1 v?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.5 (b) -4 (c) 2\/7 (d) 0.2 (e) 4\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-2 + 39\/21). List the prime factors of w\/(4\/(0 - 8)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*20\/30*-1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03 times -1.01?\nAnswer: 0.0303","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -25 - -17. What is the units digit of (-34)\/3*((-4)\/x + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 2*p**2 + 8*p - 2. Let f be y(4). Let c = f - -71. Find the first derivative of -c*u**3 - 44 - 36 + 103 wrt u.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.7 - -1.7. Which is the smallest value? (a) -4 (b) -0.1 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 7 + -1 + (28 - 34)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -332 + 331.8037. What is v rounded to two dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 greater than 0.042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84.2 - 84. What is the biggest value in -0.13, 1\/2, n?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1588 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 21875 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/4)\/(3\/12). Suppose -q - 2 = -d. Let y(g) = g**2 - d*g**2 - g**2. Let z(c) = 2*c. Give y(z(n)).\nAnswer: -16*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 253972 - 780?\nAnswer: 2531b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12144)\/(-7084)*(-1)\/(-8)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 + 7 = 2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u**3 - 1866*u**2 + 744*u = 0 for u.\nAnswer: 0, 2\/5, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h - 5403*h**4 - 14*h + 5401*h**4 + 137 wrt h?\nAnswer: -8*h**3 - 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u + 26. Let p be s(9). Calculate the smallest common multiple of 2 and (640\/(-12))\/(-4)*(1 + p).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.16901667 and 5?\nAnswer: -0.84508335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6359 is divided by 101.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 155 or 0.1?\nAnswer: 155","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j. Let x(n) = -54*n**2 - 3*n + 471. Give x(b(i)).\nAnswer: -54*i**2 - 3*i + 471","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 158 divide -6 + -5 - -25 - -19318?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*c - 74*c - 1311 = -0*c for c.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53\/172 - -24\/43. Which is the smallest value? (a) 2\/9 (b) -40 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1196 + v - 1196 + 19*v**3 in the form z*v**2 + n*v**3 + b + h*v and give n.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -102, 10, -5, 3, -3, 2, -45 in descending order.\nAnswer: 10, 3, 2, -3, -5, -45, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9191515787 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 - -37. Let g be (-209)\/(-165) - z\/5. Which is the second smallest value? (a) 3 (b) 0.25 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 - 64*c**2 + 28. Calculate h(32).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.522876 to 2 dps.\nAnswer: 0.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 840839 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8390 or -8339?\nAnswer: -8390","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 723 + -718. Let r(u) = -2*u + 7. Determine r(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 12:30 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (20\/8)\/(2\/4). Sort 4, 9, x in ascending order.\nAnswer: 4, x, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**3 + 97704*d**2 = 0?\nAnswer: -32568, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**4 - 2 + 2 + (-2*b**3 + 4*b**3 - 3*b**3)*(b + 2 - 2) + 4*b**3 - 2*b**4 - 4*b**3 - 29*b**4 + 21*b**2 - 6 + 17*b**2 - 44*b**2.\nAnswer: -34*b**4 - 6*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**4 + 6*t**4 - 2*t**4 + (4*t**2 - 2*t**2 + 2*t**2)*(-2*t**2 + 3*t**2 + 3*t**2) - 7*t**4 + 2*t**4 + 2*t**4.\nAnswer: 14*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.16*-0.628311.\nAnswer: -0.10052976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 95864 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(176)\/sqrt(4)*-4 + (sqrt(44) - 1*sqrt(1100)))\/(((sqrt(64)*-2 - sqrt(64))\/sqrt(8))\/sqrt(2)).\nAnswer: -5 + 8*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11199853 - -0.112. What is f rounded to 7 dps?\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8 + -5. Let f be (28\/6)\/((-2)\/(-75)). Suppose -f = -2*c - u*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.04 - -0.24. Let n = -25 + 42. Let t = -19 + n. What is the closest to 6 in t, -2\/3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 14) to base 12\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 - 5) + (-16 - -24) - (-2184)\/8. Calculate the greatest common factor of u and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 5*n - 17, -4*n - 8 = 450*h - 448*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10600 divided by 39\nAnswer: -10600\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13897909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 9:29 AM?\nAnswer: 2:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 223 (b) -0.2 (c) 4\/7 (d) 0.013\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 - 1. Suppose -4*w - w + 390 = a. Suppose -6*l + 3*l + w = 0. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 a when two letters picked without replacement from daaddeaelelekzz?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) -2\/3 (b) -0.55 (c) 189 (d) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qd when two letters picked without replacement from dpsqb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -70*h + 37292 - 13772. Calculate the greatest common divisor of 272 and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -86*y**2. Let x(f) = -43*f**2. Calculate -3*w(g) + 5*x(g).\nAnswer: 43*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4\/11 - 16112*q**3\/11 + 10244*q**2 + 16112*q\/11 - 112686\/11 = 0. Calculate q.\nAnswer: -1, 1, 7, 8049","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 762381*i*o + 1665508*i + o**2 with respect to o.\nAnswer: 762381*i + 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -182, -3, 2 in increasing order.\nAnswer: -182, -3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 1) + (-13 - -3) + 7 - (-2 - 11)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*c - 56*c + 63*c - 2*c**2 + 24*c.\nAnswer: -2*c**2 + 61*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ku when two letters picked without replacement from {u: 9, k: 5}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12272, 22312, 32316, 42266, 52144, 61932, 71612, 81166?\nAnswer: 90576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17680503?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6 - 62734667?\nAnswer: -62734661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + (-10)\/(-8) - ((-380)\/16)\/19. Let v(y) be the second derivative of 25*y - y**3 - z*y**4 + 0 + 0*y**2. What is the second derivative of v(n) wrt n?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-21))\/(4\/6 - 140\/84)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22580945 = 137*x + 63290 + 4347345. What is x rounded to the nearest one thousand?\nAnswer: 133000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hqqqpqphqkkkpqkhp. What is prob of picking 2 k and 1 q?\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-2 - (1 + -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 121435 - -28739?\nAnswer: 150174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 61, 34, -7, -56, -107, -154, -191, -212?\n\"Answer: v**3 - 13*v**2 + 5*v + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i = 13*i - 46. Are i and 23 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/7, 2\/11, 0.1, 7.10091, 4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-17)\/(-4) - 15\/(-20). Let b = u - 2. Suppose 0 = -5*d + 4*z - 12, 0 = -3*d - b*z + 16 - 7. Solve -5*r = -d*r + 20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*k**2 + 35*k**2 + 26*k**2 - k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 6*k**2 + 3*k - 1. Suppose 2*h = 4 + 6. Give c(h).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 342 and 49203.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(3 - 1) + 78\/18.\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155321 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-115)\/230*(-2)\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 385, 830, 1439, 2290, 3461, 5030?\nAnswer: 7075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1ab6 (base 13) in base 11?\nAnswer: -303a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1 + (sqrt(80) + sqrt(80) + 1 - sqrt(5)) - (-4 + (sqrt(10)\/(sqrt(8) + sqrt(2)) - sqrt(5)))**2).\nAnswer: -10*sqrt(5)\/3 + 292\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the second derivative of -7*y**3\/3 - 2*y**2 - 14*y. Let o = 1 + -3. What are the prime factors of c(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -5*f**2. Let y(k) = -388*k + 31. Give y(r(u)).\nAnswer: 1940*u**2 + 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 8:10 AM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.36 take away -586?\nAnswer: 584.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -143 + 219. Let h = d - 17. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 100669*x**3 + 171*x + 477 wrt x.\nAnswer: 604014*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 145 and 783.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -888*i - 140 = -874*i for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1068 - 85*i**3 - 1091 + i**2 + 2158 to z*i + q*i**3 + p + b*i**2 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = 4*f + 391. Let n = 2636 - 42155\/16. Find the common denominator of 0 - 0 - f\/12 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d - b411?\nAnswer: -b41e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of u**2\/2 - 24*u + 1408. Let t(d) = d - 24. Calculate 4*o(v) - 3*t(v).\nAnswer: v - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71*x**3 + 143*x**3 + 84*x**3)*((-2 + x + 2)*(4 + 0 - 3) + 5*x + 0*x - 3*x + 4 - 4 - x).\nAnswer: 312*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of -2 + (0 - -37803) - 18*38\/(-342)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11, 19, 27, 35, 43, 51?\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91 - 98 + 189 + t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**8\/2016 - 13*y**7\/1260 + 3*y**6\/40 - 47*y**5\/180 + 73*y**4\/144 - 7*y**3\/12 + 56*y**2 - 2*y + 18. Factor h(x).\nAnswer: (x - 7)*(x - 3)*(x - 1)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131208\/(-781)*(-3)\/24?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1281 * -0.1.\nAnswer: -128.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + h = -15, 0 = -x - 4*x - 4*h + 48. Let i be (1\/1)\/((-4)\/x). Let r be 2\/i + 2\/3. Solve r = -4*d - 2*q + 3 + 11, 0 = 3*d - q - 3 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = z**2 + 3*z - 6. Let v be 85\/(-34)*((-6)\/(-2) + -1). Calculate y(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 6*j**2 - 9*j + 6. Let h be o(3). Let t(q) = -q**3 - 5*q**2 - 4*q + 2. Let d be t(-4). Solve -4*i + d*i = -h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -4*h + 29, 0 = x + 2*h + 4 - 15. Suppose 0 = x*d - 14*d. Solve d = 4*r - 0*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1544 (base 7) to base 15\nAnswer: -2b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + (-7 - 10\/(-6)*(-144)\/(-16)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 + 25 = -4*l. Let b be 3\/(-6)*l\/(-2). Let y = 0.07 + 0.03. What is the closest to b in y, 5, -0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1748 by 76.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 + b - 2*b**3 - b + (0*b**2 - 4*b**2 + 0*b**2)*(b - 7*b - 5*b).\nAnswer: 42*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/13))**(-3\/4)*(m**(-2)\/m)**(-24))**(29\/4) assuming m is positive.\nAnswer: m**(54201\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 5*j - 132 = -2*j, -5*x - 9*j + 8*j + 190 = 0 for x.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 - 0.153. What is m rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/2 + (-15)\/6. Let y(z) = -z**3 - 4*z**2 - 2*z + 4. Let l be y(i). Which is smaller: 2\/7 or l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*r + 12*r + 4495. Suppose 0*w + r = u - w, u + 2*w - 4510 = 0. Round u to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.2372 - -0.0628. Round q to the nearest integer.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 6) to base 5.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (24\/(-10))\/(8\/(-20)). Find the second derivative of -v*k + 4*k + 5*k - 7*k**5 + k**5 wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 + (11 - (-7 - -10)) - 6?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 81 + 541. Suppose 56 = -z - 60. Is n less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1441 - -1418 - (-3 - -1 - (-3 + 4 + -3))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**2 - 3*o + 6. Let k be b(4). Suppose 0*v - k = 5*v. Put -3, 5, v in increasing order.\nAnswer: -3, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (297\/66)\/(3\/2). Let y be 3 + -5 - 183\/(-33). Which is smaller: p or y?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 - 14. Let k = -2 - -1.7. Which is the closest to k? (a) -2\/9 (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**(-4)*z**5)\/(z**7\/z*z*(z*z*(z*((z\/(z**(3\/4)*z))\/z)\/z)\/z*z)\/z)*(z*(z\/((z*z**(-2\/19))\/z))\/z*z\/(z*z**(-1\/7)))**(7\/4) assuming z is positive.\nAnswer: z**(451\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the first derivative of -q**2\/2 - 15*q + 686. Suppose 0*l = -5*l. Suppose -o + 0*o = l. Determine x(o).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105143 (base 6) in base 16?\nAnswer: 22d7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - 23. Let l = z + 49. Let q = l + -5.999914. Round q to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22294212?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-111 + 109)\/(0 - (-4)\/(-14)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -213 - -216. Suppose -4 = -k + r*p + 14, -p - 20 = -5*k. Solve -4*q + 5*a - 11 = 0, q + 0*a + k*a - 10 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35497, 35498, 35509, 35536, 35585, 35662?\n\"Answer: n**3 - n**2 - 3*n + 35500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 24*v**2 + 1680*v + 205. Calculate z(-71).\nAnswer: 1909","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kmkkcdmkmmkmkcmkkmvk. What is prob of sequence cdv?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 53. Let v be r(-29). Let k be 2 - 12\/(1 + 3). Sort 0, k, v, 4 in descending order.\nAnswer: v, 4, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 972758215?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -8937, -12775, -16617, -20463?\n\"Answer: -2*a**2 - 3832*a - 5103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 42\/5 of a second?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2*3*(sqrt(152)*2 + sqrt(152))*-2)\/(sqrt(88)\/(-6*1*sqrt(11))*5))**2.\nAnswer: 886464\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r - 7. Let b(q) = -7*q - 57 - 14*q**2 - q**3 - 7*q - 2*q - 2*q. Let d be b(-13). Give m(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -31058*d**4 + 29536 wrt d?\nAnswer: -124232*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*k + 4*h = -24, 0 = -30*k - 67*k + 96*k - 4*h - 29 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -3*w**3\/4 + 468168*w**2 - 292239828951*w\/4 - 292243574307\/2 = 0.\nAnswer: -2, 312113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13936247 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 divided by 6519270.\nAnswer: -11\/6519270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (316\/(-553))\/(10\/(-7))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 - 4*x**3 - 8*x + 5*x**2 + 0*x**2 - 2. Let g(r) = 0*r**2 - 22*r**3 + 2*r**2 - 21*r + 18*r + 0 + 21*r**3 - 1. Calculate 3*d(c) - 8*g(c).\nAnswer: -c**3 - c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/(20\/8) + 1. Let y be v\/((-1)\/3) + -2. Suppose -2*b + y = -27. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21830 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 2\/15 of a hour?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*o - 134946 = -23*o. Does 49 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 4*o = 129, o = 3*o. Let z = q - -6. Let u = 34 + z. Put u, 4, -4 in increasing order.\nAnswer: -4, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 48101041 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -76*p**2 + p + 7. Let r(h) = 380*h**2 - 6*h - 36. Let c(v) = -11*o(v) - 2*r(v). Let b be c(5). Round b to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*c**2 + 15*c = 0. Calculate c.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n**3 + n**3 - n**3)*((-2 + 4 - 1)*(6 + 2*n - 6) + 48*n + 69*n + 8*n) to u*n**2 + q*n + z*n**4 + r + x*n**3 and give z.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/63 or 1\/2556?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 281 = -101. Suppose -2*h = -7*h + b. Suppose g = -2*c + 3*g, -4*g = c - 15. Solve 3 + h = c*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p = 40*p - 56. Let o(w) = -w**3 - 5*w**2 + 10*w - 2. What is the remainder when o(-8) is divided by p?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30702687 by 5.\nAnswer: -30702687\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67.174 + 67. Let x = h - -99.274. Let y = x + -99.1000419. Round y to six dps.\nAnswer: -0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/3*(-5)\/(-2). Suppose -4*p - 4*g - 18 = -x*g, -3*p - 4 = 4*g. Let k(t) = -t**3 - 4*t**2 + t + 1. Determine k(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let l(a) = 206765*a**2. Determine l(m(d)).\nAnswer: 206765*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by -19\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, -9, -0.08 in descending order.\nAnswer: 2\/3, -0.08, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117.332 + -111.33188. Let s = 6 - v. Round s to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnklpgn. Give prob of picking 1 n and 1 k.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + 3. Let v = 20 - s. Calculate the remainder when v is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 252 = -57. Let v be 1 + 45\/o + 4386\/(-52). Do -85 and v have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 4. Suppose 15810 = 1996*a - 1689*a - 11206. What is the least common multiple of i and a?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290521603?\nAnswer: 1993, 145771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 3 + 0*g**3 + 0*g - 7\/2*g**2 + 1\/3*g**4. Let n(y) be the second derivative of u(y). Let q(k) = -2*k**2. What is n(q(l))?\nAnswer: -16*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*j + 2*j - j + (-3*j + 0*j + 2*j + (2 + 0 - 3)*(0*j + 3*j - 2*j))*(-7 + 10 + 24).\nAnswer: -56*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4939.231 - 4939. Which is the third biggest value? (a) f (b) -2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x + 184. Calculate n(14).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, -3, 1.\nAnswer: -3, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -8917, -17390, -25863?\n\"Answer: -8473*u - 444","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*i - 3*i - 4*i)*(1579 + 2426 + 835).\nAnswer: -9680*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) 5 (c) 3 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 - -146360262.61.\nAnswer: 146360273.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/13 + 977\/(-13). Let n be 80\/k*15\/(-6). Determine m, given that 14\/9*m**5 - 4\/9*m**2 + 0*m + n*m**4 + 2\/3*m**3 + 0 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38391977 - -17812573. Let t = 57397522 + a. Suppose -4*f - t = 5*l - 91318106, 0 = -3*l - 2*f + 32699994. What is l rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4561 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 682 + -679. Let f = 7 - 4. Factor 6*z**2 - 3*z**4 - 8*z**2 + p*z**f + 2*z**2.\nAnswer: -3*z**3*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3576 is divided by 43.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 4*f**2 - 13*f + 68. Let k be i(-10). Let c = 530 + k. Let u(a) = -3*a - 7. Let v be u(-5). What is the greatest common divisor of c and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54821 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.75 and -81400.\nAnswer: -61050","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 99 = -3*c + 56, 3*v - 4*c - 93 = 0. Calculate the lowest common multiple of v and 8.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 77 - 44. Calculate the highest common factor of 22 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from luujiryj. What is prob of picking 1 y and 2 j?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.32 (b) -7.83 (c) -53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4777 - -4780. Calculate the highest common divisor of 249 and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31744020 divided by -2885820\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 4586946 and 4586964 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, 4, 63, -5, 2, -9 in increasing order.\nAnswer: -84, -9, -5, 2, 4, 63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186441 is divided by 52.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.7 and 656.61.\nAnswer: 655.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 5*c = -6*g + 6, -2*g = c - 6. What is the third derivative of -19*i**3 + 28*i**g + 3*i**2 - 24*i**2 wrt i?\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 4 = 2*m. Suppose -n + 2*v = -45, m*v = 3*n - v - 120. Which is smaller: n or 101\/3?\nAnswer: 101\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3708 = -27*k + 18*k. What are the prime factors of k?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from cuugxugucgxcccuuxxcg?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 16843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1171265 (base 8) to base 14.\nAnswer: -86269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -3*n - 2*n + 95, -2*n + 133 = -5*w. Let t be 3 + ((-785)\/w - 4). Let k = -156\/5 + t. Which is greater: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4 (b) -12\/13 (c) -2\/7 (d) -76 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1 times -4879916\nAnswer: -4879916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10111011 (base 3) to base 5.\nAnswer: -40132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k. Let a(w) = 17*w**2 + 8*w + 80876. Give a(c(u)).\nAnswer: 17*u**2 - 8*u + 80876","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u - 75*h + 28 = -71*h, 14*u + 2*h + 7 = 17*u - 14 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 2*m**3 - 12*m**2 - 3*m + 20. Let b(p) = 5*p**3 - 24*p**2 - 4*p + 43. Let j(l) = 3*b(l) - 7*s(l). Give j(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20286735 at least as big as -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 33*v**2 - 226*v + 203. Calculate a(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 179 divide 343888535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5 - 138*x**4 - 450*x**3 + 408*x**2 + 1599*x + 882 = 0.\nAnswer: -3, -1, 2, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1909218.2 and 0.5.\nAnswer: -1909217.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 + 6?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 18827.69 to the nearest one thousand.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**3 + 122137*x - 60068*x - 62069*x.\nAnswer: -2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35)\/(-2*sqrt(7) + sqrt(7)) - sqrt(80)*-4) + -2*(-1 + sqrt(5) + sqrt(20)\/sqrt(4)))**2.\nAnswer: 44*sqrt(5) + 609","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + -1)*(6 + 228\/(-32)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c + 1. Let d(v) = 3*v + 7. Let t(n) = d(n) + 2*z(n). Let g be t(-9). Let b = -0.09 - 3.91. Which is greater: b or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25\/10 + ((-54)\/12 - -4).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1113, -282, -2601, -5844, -10011, -15102, -21117?\nAnswer: -28056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8939 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 1\/6 (c) -31\/3 (d) -6 (e) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(1\/5)*p)\/(p*p*p*p*p**(-7)*p*p))\/(p**(-2\/5)*p)**(-2\/13)*((p\/p**2)**(-1\/40))**(-37) assuming p is positive.\nAnswer: p**(1231\/520)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -123 + -97. Suppose 3*x + 170 = -d - 25, 5*d = -x - 79. Let t = x - h. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -695719780.0000285 - -695719609. Let b = -171 - d. Round b to 6 dps.\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774299701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**8\/20160 - 13*k**5\/60 - 14*k**2. Let b(g) be the third derivative of l(g). Let a(u) = 0*u + 0*u - 8*u. What is a(b(c))?\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -9*d - 50. Let j be a(-6). Suppose -j*s - 203 = -699. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -12, 24, 3 in descending order.\nAnswer: 24, 3, 0, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**31*l**(-3\/31))\/(l*l*(l\/(((l\/l**(4\/13))\/l)\/l)*l)\/l*l*(l\/l**(-40))\/l))**43 assuming l is positive.\nAnswer: l**(-249615\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - 7*f + 2*f)*(18 - 7*f - 18) as x*f**2 + t*f + k and give x.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.086923 - -2.18692. Let n = -0.1 + b. Round n to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 t, and 1 v when three letters picked without replacement from {t: 1, v: 2, q: 1, a: 1, c: 1, s: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -3*u**2 - 59*u - 19. Give b(-19).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111 is divided by 57?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = -10, z - 2*a - 7 + 3 = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 40271 - -1.803\nAnswer: 40272.803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*t - 177 = 103 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 736 is divided by 590.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 82*r**2 + 18*r + 12. Let p(t) = 39*t**2 + 10*t + 6. Give 4*d(q) - 7*p(q).\nAnswer: 55*q**2 + 2*q + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that p**5\/2 - 15*p**4\/2 - 3*p**3 + 49*p**2 - 123*p\/2 + 45\/2 = 0.\nAnswer: -3, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6912 is divided by 799?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 7 = -14 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -30*o + 25. Let n(s) = s - 1. Let i(u) = -k(u) - 25*n(u). Let l be (6\/(-9))\/(2\/(-7905)). Let t(w) = -2635 - 4*w + l. What is t(i(b))?\nAnswer: -20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/14)\/m**(-27))**(-17) assuming m is positive.\nAnswer: m**(-6375\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g**3 + 15*g**2 - 36*g - 1. What is s(12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b + 7. Let j(g) = -3*g - 6. Let r(s) = 3*j(s) + 2*p(s). Let c(v) = v - 1. Let k(d) = 3*c(d) - r(d). Give k(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**3\/4 + 2275*n**2 - 5175625*n.\nAnswer: -n*(n - 4550)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 15298\/(-1) + (-20)\/(-5). Let y = 4454 + w. What is y rounded to the nearest one thousand?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-249)\/(-581))\/(3\/((-42)\/8)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wws when three letters picked without replacement from {j: 1, s: 6, u: 2, a: 3, w: 2, f: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o**(-5)*o**(-1\/8)*o**(2\/11)\/(o**11\/o) assuming o is positive.\nAnswer: o**(-1227\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 42*u**3 + 35*u. Let o(c) = -7*c**3 - 6*c. Suppose -11*q = -18*q - 245. Give q*o(y) - 6*j(y).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 8, j: 1, t: 4}. Give prob of picking 1 j and 1 t.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2329 and 11097?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hedduddddddlddell. What is prob of picking 1 h, 1 u, and 1 d?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -13950 > -13948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 350*v**3 - 70*v**2 + 55*v. Let h be -1 + (3 - -3 - 1). Let c(x) = -25*x**3 + 5*x**2 - 4*x. Let u(a) = h*p(a) + 55*c(a). Factor u(f).\nAnswer: 5*f**2*(5*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 749699 is divided by 50.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.6 - 1.63. Sort -2\/11, l, -5.\nAnswer: -5, -2\/11, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 5 - 15. Which is bigger: d or -62\/7?\nAnswer: -62\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 301094 to the nearest integer?\nAnswer: 549","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 4132*x - 315400.\nAnswer: -4*(x - 950)*(x - 83)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve n = 310 - 314 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/8 and -89\/1138?\nAnswer: 4552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14790234 (base 10) to base 14.\nAnswer: 1d70054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 7 = -2*g, -5*g - 28 = 2*d - 14 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/1501 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/12535 (b) 0.4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -179 + 187. Suppose 5*t = -m + 4, -t = -2*m + n + 11. Let u = 19 - 23. Put 0, 4, m, u in ascending order.\nAnswer: u, 0, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -18\/2827 and 103\/1542.\nAnswer: 16962","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51*z**3 + 20*z**2 + 26*z**2 - 3*z**6 + 58*z**3 + 4*z**6 wrt z.\nAnswer: 120*z**3 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 22*g**2 + 2*g - 1. What is the remainder when f(1) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7854 and 264.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 60587799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(56) - -2*sqrt(56)*3))\/(6*sqrt(200)*3).\nAnswer: 7*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -12.1. What is the closest to 0 in -2\/7, 2\/11, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19797297?\nAnswer: 3, 13, 19, 26717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117192 + -10547117\/90. Find the common denominator of m and -61\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {q: 15, a: 3}?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1570 + -1566. Solve 4*v + a*m = -0*v - 4, 0 = -5*v - 2*m - 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, v: 11}. Give prob of picking 2 v.\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -64 times -41.1556\nAnswer: 2633.9584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10123*f = -10124*f - 29*h + 495, -185 = f - 11*h for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/21 - 12\/7. Let g = 2 - w. Suppose 5*z = 5*r - 35, -5*z + 5 - 4 = g*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(-4)\/30 + (-162)\/(-45). Suppose -4*x + a*x - 4*x = 0. Does 6 divide 92\/6 + x + (-4)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 - 24. Let l be (h - 17)*(-8)\/8. Calculate the greatest common divisor of 40 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a*i*y**3 + 32*a*y**3 - 15*a - 18599*i*y**3 + 2*i*y**2 + i*y - 12282*i + y**2 wrt y?\nAnswer: -18*a*i + 192*a - 111594*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10045555*a - 18157030 wrt a.\nAnswer: -10045555","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 102*n**2 - 3633*n - 800. Give w(130).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -21*t**2 - 6*t + 0*t + 20*t**2 - 1 - 3. Let l be n(-3). Suppose -l*h - v = -9, -4*h + v - 4*v + 16 = 0. Which is smaller: h or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -201 or -10401?\nAnswer: -201","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -92465, -184930, -277395?\n\"Answer: -92465*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 8331*k**5*u**2 + k**4*u**2 + 61*k**2 + 4*k - 5*u**2 + 2 wrt k?\nAnswer: 499860*k**2*u**2 + 24*k*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0012266 to 4 dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 24891*w**4 + 2*w**2 - 2*w + 8714588?\nAnswer: 99564*w**3 + 4*w - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 102.7 + -95. Let q = -9.7 + t. What is the nearest to -2\/3 in -1, q, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 68*i**2 - 4*i - 803. Let h(w) = -15*w**2 + w + 201. Give 2*d(j) + 9*h(j).\nAnswer: j**2 + j + 203","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 8*u - 2 = 4*b, 0 = -2*u + 5*b - 6. Suppose -3*x + u - 5 = 0. Is -1 smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6.86 + 0.14. Let p = 3 - f. Which is the closest to -0.1? (a) -5 (b) p (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5595733 is divided by 2671.\nAnswer: 2659","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00035281798 rounded to five dps?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*m + 2*m - 4 = 0, -4*m + 2 = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.5, -220\/7, -0.1, -0.02, -174?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -14.5 (b) -2\/21 (c) -5 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -154056, -154190, -154414, -154728, -155132?\n\"Answer: -45*i**2 + i - 154012","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-54)\/(-54)*12*3\/(-3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -101 + 111. Suppose h + n = -4*h. Let v be (-9)\/((-75)\/(-10) - -3). Is v != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3223.625325 rounded to one dp?\nAnswer: 3223.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16837 + 16803. Which is the closest to 0? (a) 0.2 (b) h (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 15. Let j be -3 + w - 1\/(-1). Suppose -42 = -4*p + p + 3*g, 0 = -j*p - 3*g + 54. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 188, -19, 4, -2 in increasing order.\nAnswer: -19, -2, 4, 5, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 3*s + 10*s + 3*s - 27. Let a be v(7). Suppose -3*i + a = -2*i. List the prime factors of i.\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 155*g**2 - 20*g - 97. What is the hundreds digit of t(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 9:58 PM?\nAnswer: 7:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7704441*g**2*y*z - 3*g**2 - 2*g*y*z - 25*g*z - z + 968 wrt y?\nAnswer: 7704441*g**2*z - 2*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 367435059 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7709 and 1573?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 341, 15, -1629, -5251, -11511, -21069?\nAnswer: -34585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1665, 4, 0, 138, -4 in descending order.\nAnswer: 1665, 138, 4, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and 1136.\nAnswer: -19312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*g = 15*g + 75 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -788, 1\/5, 6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + -2 + 1)\/(-3). Suppose z*f + 2*f = 48. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u + 8. Determine k(14).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23 - 10. Let w = -9 + b. What is the remainder when w is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -339*g**3 + 10*g**2 - 2*g - 6. Let v be z(7). Let m = -137094 - 77099. Let a = v + m. What is a rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/(((-88)\/42)\/(-11))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -608.7555 + 609. Let p = 0.245743 - b. Round p to four dps.\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -2431, -4, -86.\nAnswer: -2431, -86, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12010012012220 (base 3) in base 2?\nAnswer: -1010011000000100111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 34*p - 6*p + 840. Let v be ((-9)\/(-225)*5)\/((-1497)\/p). Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/13 (b) -32.85 (c) -110.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.7 - -0.5. Let z = 6 + g. Let b = 0.2 + 0. What is the third biggest value in z, -4, b?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 3216931.2us?\nAnswer: 0.000005319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 9860788?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**2 - 12*h - 11. Let m be s(13). Suppose 2*i - 4*b = -i - 176, 5*b + 125 = -m*i. Round i to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k + 0*k + 20*k**2 + 2*k.\nAnswer: 20*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1351465 is divided by 4431?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9.140594001 + -62.140593411. Let v = -7 + -46. Let f = o - v. Round f to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -739\/2 + 3699\/10. Let d = -4.6 - -0.6. Which is the nearest to h? (a) 1\/4 (b) 2\/7 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14 and 1694.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.26 + -21.26. Let x = 20 + a. Which is bigger: -1.2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 27 = -g. Let f(v) = g - 2*v - 4*v + 5 + 3*v. Let s be f(-7). Calculate the highest common factor of s and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 391*d = 611 + 1845 + 1063 for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 5*s - 2. Let w be p(-3). Let q(u) be the first derivative of 0*u + 0*u**2 + u**5 - 3 + 1\/2*u**w + 0*u**3. Factor q(j).\nAnswer: j**3*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 - (-18 + 12 + -18) - (-17 + -7 + 9).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + y - 102 = 32, -4*t = -4*y + 104. Let f(n) = -4*n - 9. Let j be f(-7). Let i = j - t. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 264940433\/413 - 641503. Let r = -10\/59 - o. Let 6\/7*d**3 + 0*d**2 + 0 - 2\/7*d - r*d**4 = 0. What is d?\nAnswer: -1\/2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 0)*(1 + 1 - 1)*(-5*c + 4*c + 3*c)*(-212*c + 812*c - 210*c).\nAnswer: 780*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1228 and -0.1.\nAnswer: -122.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2200 and 37200.\nAnswer: 409200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-10)*2003*-1. Let p = r - -402. Which is smaller: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 + 199856?\nAnswer: 199856.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*x**4 + 2*x**4 + 3*x**4 + (25*x**3 - 4*x**3 - x**3)*(0 + 0 - x).\nAnswer: -18*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -449501 - -563674175\/1254. What is the common denominator of j and 50\/99?\nAnswer: 3762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 + -8.6. Let a = t - -1.6. Let m = 9 + -9.5. Put -5, a, m in increasing order.\nAnswer: -5, m, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**5 + 12*b**4 + 136*b**3 - 152*b**2 - 132*b + 140 = 0.\nAnswer: -5, -1, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5151 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3*-1*(-27)\/216*20?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -757834 divided by 19943.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 337, 1317, 2957, 5263, 8241, 11897, 16237, 21267?\nAnswer: 26993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r + 92 - 482 = 0 for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 - -0.5. Let w = 1.7 + v. Is w < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f + f + 2*f)*(2 + 1 + 2) + 0*f + 4*f - 5*f in the form v + g*f and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-107151)\/(-45458)*3\/((-66)\/(-4)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 701 and 4340592.\nAnswer: 701","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o - 4*o + 0*o - 2*o**3.\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 588 and 1176?\nAnswer: 1176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*o**4\/19 - 85936*o**3\/19 + 923983472*o**2\/19 - 18453896640*o\/19 + 92226535200\/19 = 0. Calculate o.\nAnswer: 10, 21474","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*h + 3*a - 27, -4*a + 29 = 5*h. Suppose -g = -h - 5. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - 42523?\nAnswer: -42515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-114)\/304*6\/9\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 104 and 292588049.\nAnswer: 2340704392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 - 85*t**2 + 480*t - 474. Let z be p(79). What is the fourth biggest value in 1\/7, -0.5, z, 109, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 2\/5 (c) 2\/11 (d) -24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2757*n**3 - 64*n**2 + 27*n - 5014?\nAnswer: 16542*n - 128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.0001*-0.2549944\nAnswer: 0.00002549944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.038 in -245, 1\/16, 5, 0, 3\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**3 + 13*x**3 + 8*x**3 + (4*x**2 - 6*x**2 + 0*x**2)*(-2*x + x - 3*x).\nAnswer: 30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5607737950.\nAnswer: 2, 5, 373, 300683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**8\/840 + 5*w**4\/24 + w**3 - 2. Let n(o) be the third derivative of l(o). What is the derivative of n(y) wrt y?\nAnswer: -8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1581 and 310?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 196314 = -2*t + 6*t, 5*t - 245399 = 2*l. Suppose -6*a + 11*a + 16351 = j, 2*a = 3*j - t. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.06265661 + 0.2257178. Let v = 0.07693935 + o. Let k = -0.24 + v. What is k rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 3*b + 6 = 0. Suppose 0 = -h - 2*k + 15 - 6, -5*k = -b*h - 28. Which is smaller: 2\/23 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 4*u + 69 + 7, -34 = -2*m - 3*u. Suppose 5*a + 185 = -2*g + 996, -g = -2*a - 374. Calculate the remainder when g is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c. Let j(q) be the third derivative of -q**5\/15 + 11*q**2. What is o(j(n))?\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**3 + 2*o + 2. Let j be (1\/(-3))\/(2\/6). Let y(z) = -61*z**2 + 33*z**2 + z**3 + 28*z**2. Give j*i(u) + 2*y(u).\nAnswer: -u**3 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**4 - 357 + 716 - 125*s - 71*s**2 - 359 wrt s.\nAnswer: -24*s**2 - 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/7 + 26\/7*c**2 - 10\/7*c**3 - 8\/7*c.\nAnswer: -2*(c - 2)*(c - 1)*(5*c + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 3*w = 1567, 13*n - 5*w = 15*n + 642. Let m = 341 + n. Is m a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 24*j + 499. Give a(-38).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 354 = 4*p - 0*p, a - 3*p = 123. Suppose -2*r + a = -62. Let z = r - 63. Solve -y - 1 = -4*u - 6, 5*y - 4*u = z for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -147, -280, -413, -546?\nAnswer: -679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from {t: 3, j: 5}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 25?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - k + 3. Let r = 713 + -713. Suppose r = -m + 5*n - 16, 0 = m - 8*n + 11*n. Let o(b) = -1. Calculate m*o(y) - 2*j(y).\nAnswer: -2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 62*i**2*w**3 - 3*i**2*w**2 + 255352*i**2*w + i*w**3 - i*w**2 + 3*i*w - 43097*w**3 wrt w?\nAnswer: 372*i**2 + 6*i - 258582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h + 1. Let i(z) be the first derivative of z**2\/2 - z + 52. What is -b(d) - 2*i(d)?\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q = -2*s + 9, 0 = 3*q + 21 - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2))**(1\/5)*(n*n**0\/n)**22 assuming n is positive.\nAnswer: n**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77 - 46. Calculate the remainder when 123 is divided by t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 19*a**2 + 206*a + 601. Is p(-23) a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 + 1. Let l be j(-5). Let z be ((-16)\/l)\/(4\/(-6)). Is z != 2\/85?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 8*v - 4*q - 10, 5*v + 135 = -3*q. Calculate the common denominator of (-3)\/30*4 - 397\/v and 1\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1309 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 2*i + 5 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4946?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 38, 78, 128, 194, 282, 398, 548?\nAnswer: 738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9.88, 5, -0.3, -2\/279?\nAnswer: -2\/279","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 u when three letters picked without replacement from jjeijuw?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes before 9:55 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-8)*165\/120*-8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -x**8\/6720 - x**6\/72 - 5*x**4\/6 + 9*x. Let d(h) be the third derivative of p(h). Find the second derivative of d(b) wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22765267.\nAnswer: 7, 359, 9059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2803 and -1.2?\nAnswer: -3363.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 2*m + 57, -5*m - 76 = a - 5*a. Suppose 2*i = -5*n + 123, -n + 2 + a = 4*i. Solve -4*s - s = n for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1)*h**(6\/19)\/h)\/(h**(-17))**(-11) assuming h is positive.\nAnswer: h**(-3585\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 55252260.\nAnswer: 55252260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 57872 + -57870. Let n = 9 - 14. What is the third biggest value in i, 0, n, -8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6478087 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 756*n**3 - 233*n**3 + 734*n**3 - 225*n**3.\nAnswer: 1032*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -8*m - 483. Let c = -113 - m. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -5*h**3\/3 + 2*h**2 - 14*h - 20. Let q be f(-7). Let g = q - -492. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*x - 2*x + 18, -40 = -4*x - 5*p. Suppose x*a**3 - 7 - 8 + 2878*a + 15*a**2 - 2883*a = 0. Calculate a.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hnaa when four letters picked without replacement from iiiianxihiaaaia?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 2, 4 in ascending order.\nAnswer: 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 130.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g**2 + 13*g + 13. Let s(c) be the first derivative of -c**3\/3 + 3*c**2 + 6*c - 96. Let x be -15 - (0 - (-4)\/(-2)). Determine x*s(y) + 6*j(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -723, -2396, -5637, -10968, -18911, -29988?\nAnswer: -44721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 149919 divided by -413\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 55, 3.\nAnswer: -1, 3, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 509794 and 3854.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*k**2 + 188790 + k**2 - 3*k**2 - 188058 + 466*k wrt k.\nAnswer: 6*k + 466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1593\/7420 + 9\/212. Calculate the common denominator of -12\/55 and i.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8 + 11. Solve n = -6*b + 21 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86465\/3 or -28822?\nAnswer: -28822","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4*m + 36, 5*p + m + 21 = 2*p. Let w(v) = 3*v + v**2 + 0*v + 4*v. Calculate w(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 192654 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 5*t**2 + 4 - 5.\nAnswer: 5*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*((o**31\/o)\/o)\/o*o**(-1\/38))\/((o*o**13*o)\/o**(-2\/61)) assuming o is positive.\nAnswer: o**(32315\/2318)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 142.1 from -378194309.\nAnswer: -378194451.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*q**2 + 102*q - 6211*q**3 - 10181 - 30*q + 6212*q**3 with respect to q.\nAnswer: 3*q**2 - 12*q + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 11885c - 6?\nAnswer: 118856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (20 - (21 + -27)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(9 - 56\/6). Let x(a) = -a**3 + 6*a**2 - 5*a + 3. Let v be x(5). Factor -9\/4*k + f - 3\/4*k**v + 3*k**2.\nAnswer: -3*k*(k - 3)*(k - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125388 and 172.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 10 - 8 - 3*a)*(-12*a**4 - 5*a**4 - 6*a**4).\nAnswer: 69*a**5 + 207*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 7 = 3*y. Let r(u) be the second derivative of 5*u**3\/3 - 3*u**2\/2 - 3*u. Let v(m) = -3*m - m + 7*m - 1. What is y*v(c) + 2*r(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 + -2002012211?\nAnswer: -2002012201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 - -57. Suppose 5*n - 4*v - 32 = 0, 4 = 4*n - 0*n + 4*v. Suppose -20 = -n*l - j, -2*j - j + 16 = l. Solve 0 = l*o + o - a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 144 and 6?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*m - 49 = -13, 3*m + 9 = 0. Let p = -6 - u. Let s = 0.7 - 5.7. Which is the closest to p? (a) s (b) 4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d - 22*d - 11*d.\nAnswer: -25*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17\/34)\/(78\/(-156)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5103471 + -5103468.9000004. Let z = 373.1 + -371. Let f = z - v. Round f to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 7*z - 4*z - 2*z - 2*z. Let u(o) be the second derivative of -o**3\/2 - 20*o. Determine r(u(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 79*f**3 + 2*f**2 - 32*f**3 - 41*f**3 + 3*f + 3*f**2 to o*f + m + v*f**3 + d*f**2 and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 3*j**2 - 17*j + 2. Give x(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13389?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 106035029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 126 = 158 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*h + 11*h - 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -28*c**4 - 149*c**3 + 149*c**3 + (-c**3 - c**3 + 4*c**3)*(-4*c + 6*c - 4*c).\nAnswer: -32*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1040 = -5*v - 5*x, -3*v - 216 = -2*x - 855. Calculate the remainder when v is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/96 and 127\/98560.\nAnswer: 295680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/104 and -73\/14.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-2\/19)*d**(-12\/7)*(d**(-1\/5))**(6\/23) assuming d is positive.\nAnswer: d**(-13333\/15295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 3*n. Let z be (6\/4)\/(3\/(-6)). Let l be t(z). Sort -5, 4, l in ascending order.\nAnswer: -5, l, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 12*x**2 - x. Calculate u(12).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 37 and 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w*w*w**0)*w**(-1\/7)*w*w**(-2\/3)*w*w*w**(1\/6)*w assuming w is positive.\nAnswer: w**(33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from ecececccecec.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17968144.5 rounded to the nearest one hundred thousand?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (325\/(-39) - -9)*48. Solve -c*p - 325 = -357 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1107 is divided by 242?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4118350?\nAnswer: 2, 5, 31, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -248235, 6, 5, 3 in descending order.\nAnswer: 6, 5, 3, -248235","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6670?\nAnswer: 2, 5, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ra when two letters picked without replacement from llllrazalrlllalzalaa?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 8*i + 14. Let c(t) = -2 + 8 - 2*t - 2 + 5*t. Let f(l) = 7*c(l) - 2*o(l). Let b(n) = -12*n. Calculate f(b(v)).\nAnswer: -60*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (10 - 24)) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 10, 5, -6, 4 in descending order.\nAnswer: 10, 5, 4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**(-2\/7)*k**10*k*(k*k**(-6)*k*k)\/(k\/(k*k**(-4\/3))) assuming k is positive.\nAnswer: k**(167\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = 4*w - 28. Suppose 0 = -2*d - w - 21. Let a = d + 50. What is the remainder when a is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3*1 - (22 - 6). Let u = 23 - a. Does 20 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 897.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - p + 2*p)*(3*p + 0*p - 2*p) + p**2 + 3*p - 3*p.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42 - -24) + (1 - (0 - -2)) + 3.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x + 2. Let r be c(6). Let z = 6353 - 6350. Solve t - 4*b - r = 0, z*b + 13 = -t - 0*b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bwwwnwb. What is prob of sequence wnwb?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 7 + 8. Suppose -u*z = 3*h + 12, -5*h - 2*z + z - 4 = 0. Let j = -623\/15903 - 13\/513. Is j greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 66 = 1. Let l(k) = -15*k + 4. Let j(x) = 31*x - 8. Let f(v) = a*l(v) + 6*j(v). Is f(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 16284?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -3*i + 40, x - 3*i = -i + 25. List the prime factors of x.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 - 21161117?\nAnswer: -21161122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 646834432?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 28*q + 5854 + 5848 - 11708. What is h(2)?\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in centuries?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515 is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bgvogbocaavoocggbc. What is prob of sequence cc?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -10, -4\/7, 0.1 in ascending order.\nAnswer: -29, -10, -4\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*2*(-5745)\/82728?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -366 (base 13) to base 11.\nAnswer: -498","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 3*c = 2*z + 8934, -2*z + 17844 = 2*c. Let r = z + -62360\/7. Let i = r + -3757\/224. Calculate the common denominator of i and -137\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34697844017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.006 + 0.596. Let u = 0.21 + n. Let o = 0.6 - u. Put 0.2, 5, o in ascending order.\nAnswer: o, 0.2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooujvvo. Give prob of sequence vvj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34359 = -i - 4*w, 5*i - 3*w - 138938 = 32949. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 674 + 38 = -x. What is the units digit of (3\/((-36)\/x))\/(2\/3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -6*a - 98. Let t be o(-17). Let u(r) = 2 + 1 + t*r - 5 - 1. Give u(-5).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:57 PM and 11:11 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 20*a**3 - 9*a**2 + 10 + 6*a**3 - 25*a**3. What is v(9)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286390 rounded to the nearest ten thousand?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*b**2 + 33*b**2 - 60*b**2)*(1 - 1 + 5*b).\nAnswer: 30*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 8*j**2 - 12*j - 8. Let m be p(10). Let q be 33\/m - 3\/9. Which is the third smallest value? (a) -5 (b) q (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.013 (b) 0.5 (c) 6 (d) -5 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*c**3 + 12*c**3 + 2*c**3.\nAnswer: -5*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 4. Let b be (3\/(-9))\/(-3 - (-76)\/24). Let c be z(b). Suppose 3 = 5*o - 3*l - 124, o - 3*l - 35 = c. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*g + 2 - 2)*(2*g**2 - 8*g**2 - g**2) - 3*g**3 + g**3 + 4*g**3 to the form d*g + k*g**2 + z*g**3 + l and give z.\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2786.3122 to the nearest 100.\nAnswer: -2800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0\/6 + 30\/10. Solve n*p + 15 = -5*x + 4*p, 1 = 2*x + p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -3*p - 44, -2*b - 4*p + 14 + 14 = 0. Suppose -b = -l - l. Let x = 7 - 4. Sort x, l, 2\/7 in descending order.\nAnswer: l, x, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 21\/5 of a millennium?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes before 7:48 PM?\nAnswer: 1:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850959590.\nAnswer: 2, 5, 13, 691, 9473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 is divided by 438\/60 - 6\/20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04677 minus 5.12?\nAnswer: -5.16677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -11*n**2 - 3*n + 8. Let a(t) = t**2 - t. Let d(z) = 6*a(z) + q(z). Let p(y) = y**2 + y - 1. Let x(k) = -d(k) - 6*p(k). Factor x(i).\nAnswer: -(i - 2)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3085*k - 1948 wrt k.\nAnswer: -3085","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x. Let p(v) be the third derivative of -23*v**5\/30 - 14*v**2. Give l(p(h)).\nAnswer: -92*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 4, z: 14}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.1513 and -14.\nAnswer: -17.1513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2 + 10 = 0. Suppose 2*y + i*p - 3 = -2*y, 5*y + 5*p = 0. Suppose 1 = y*d - 8. Solve -d*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-90)\/100*10\/(-24)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000092936299 rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/9)\/(2\/12). Let c = d - 4. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4\/5, -5, -1.172.\nAnswer: -5, -1.172, 0.3, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 10*m - 445. Let l be j(14). Let u(y) = -24*y**3 + 3*y**2 + 2*y. Let o(i) = 23*i**3 - 4*i**2 - 3*i. Determine l*u(f) + 2*o(f).\nAnswer: -26*f**3 + f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - h + 93 = 0. Let t = h + 17. Let v be 6\/(-15)*(-10)\/t. What is the biggest value in v, -4, -0.4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20873084?\nAnswer: 2, 5218271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 6*c**2 - 7*c + 2. Let m be s(-7). Let r(w) = -m*w - 1 + 0 - w. What is r(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 11 = -5*m, 0 = 5*m + 2*a - 4*a - 12 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 17, -48, 3, -3, -28 in descending order.\nAnswer: 17, 3, 2, -3, -28, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - 2. Let a be (-9)\/j*24\/9. Suppose -z - 1 = 0, s - 3*z + 72 = a*s. Calculate the remainder when 43 is divided by s.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9184 and 7280.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/21, -2.526, 16833 in increasing order.\nAnswer: -2.526, -2\/21, 16833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50724 is divided by 25356.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lclccclc. What is prob of picking 1 c and 1 l?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -6750 divided by -18?\nAnswer: 375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 14) to base 8\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15604*d**3*n**2 - 21298*d**2*n**2 wrt d?\nAnswer: 93624*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 629 and 2924.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2676871447 and -710.\nAnswer: 2676870737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -22. Let v(u) = -5*u + 4*u - z*u - u**2 + 3 - 3*u. What is the remainder when 74 is divided by v(-8)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -417172928 to the nearest one hundred thousand.\nAnswer: -417200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -466\/13 or -37?\nAnswer: -466\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 30 = 3 - 51 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -715*p - 225*p = -53*p - 18627 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 - 1 - (-3 + -306). Let c = 316 - t. Solve c = 2*s + s + 12 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 231.71 (b) 1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -789 + -2?\nAnswer: -78b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/66)\/((-2)\/11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*-5*(sqrt(128) + 4))**2*-5.\nAnswer: -18000 - 8000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 76647576 * -4\nAnswer: -306590304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1\/3, -0.1, 5.\nAnswer: -1\/3, -0.1, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8814 - 151*y - 8814 - 2*y**2.\nAnswer: -2*y**2 - 151*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39 + -19. Suppose -3*l - w + 9 = 0, 5*l + 2*w - 15 = -2*w. Suppose -j + y = l*j. Solve -q + j*m = 1, -q - 5*m + 7 = -2*m for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3527 in 263, -0.1, -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/2))**38*q**(-5)*(q*q*q**(-1)*q*q)\/q*(((q\/(q\/q**3*q))\/q)\/q*q*q*q*q*q\/q**(1\/12)*q)\/(q**(-1\/2)\/q**(-1\/10)) assuming q is positive.\nAnswer: q**(1339\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 + 19763*j + 69785*j + 36.\nAnswer: 89548*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 720 and -133480.\nAnswer: -96105600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2069529827 rounded to five decimal places?\nAnswer: 0.20695","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3333101033 + -1023?\nAnswer: 3333100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 6*j**2 + 5*j + 4. Let h be c(-5). Let n be (-2 - (-1 + h))\/(-1). Find the third derivative of 2*v**n + 4*v**3 - 4*v**3 + 2*v**2 wrt v.\nAnswer: 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34920*1.401.\nAnswer: 48922.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 673467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a week in minutes?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4757?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -7 (b) 3 (c) -2 (d) -40 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(275))*3.\nAnswer: -3 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 1810*b + 126 - 368*b + 1937*b. Let a be k(6). Round a to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3355.214984 to 2 decimal places.\nAnswer: -3355.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 23317.\nAnswer: -4\/23317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1193?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14300.08919 + 14300. Round y to 3 decimal places.\nAnswer: -0.089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22366, 18845, 15322, 11797?\n\"Answer: -u**2 - 3518*u + 25885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -323 + 182. Let c = -197 - y. Let k = 79 + c. What is the remainder when k is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 6 = 4*s. Let m = 6 - s. Solve -r + 0 = -m for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**3\/2 + 585*z**2 - 205167*z\/2 + 1957725 = 0. What is z?\nAnswer: -525, 22, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 46 divided by -19440\nAnswer: -23\/9720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (48\/(-9))\/((-7)\/((-126)\/(-12))).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*t**4 - 12388*t**3 - 1914552*t**2 + 1158160*t + 768800 = 0 for t.\nAnswer: -310, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - c6a7?\nAnswer: -c6a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-42543)\/9454*284\/18?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(8\/(-64))\/(4\/8).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -434*-0.2967\nAnswer: 128.7678","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y**3 - 3*y**2 - 3*y - 6. Let n(x) = x**3 + x**2 + x - 1. Give -3*n(m) - q(m).\nAnswer: -m**3 + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -2*f. Let w be n(-6). Suppose -w = -3*d - 0*d. Is d a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 403, -5, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 g when three letters picked without replacement from {x: 7, g: 5, z: 7}?\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/2 - 77*u**2\/2 - 151*u\/2 - 75\/2.\nAnswer: -(u + 1)**2*(u + 75)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 + x**2 + 15. Let r be m(0). Suppose -r = -5*s - 5. Factor 0*w**2 - w + s*w**2 + 0*w - w**3.\nAnswer: -w*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 2*j - 2. Let u be h(10). Let n be ((-4)\/3)\/((-4)\/u). Suppose b - n = -3*v, 20 = 2*v + 2*b - 4. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d**3 + 3*d**2 + 3*d.\nAnswer: -3*d*(d - 1)*(2*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 117 - 109. Suppose 2*o = -4*a - 9 + 1, 2*o = 2*a - h. Solve 0*c - 4*c + 12 = a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, 0.1, -1\/2, -8, -12\/97, 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (4\/(-8))\/(6\/(-3516)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 17224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2.1840166 * -12\nAnswer: 26.2081992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 17 = 5*d + 1, -2*k = -5*d + 24. Solve 20 = 5*s - 4*h, 2*s = s - 4*h + d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446 minutes before 11:37 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000010407089 to seven decimal places.\nAnswer: 0.0000104","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 8 + 42)*(29*y - 113*y + 57*y)*(-1 + 4 - 1).\nAnswer: -2160*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -60 + 283 - 84 - 60 + 4*l. Let w be c(-19). Solve 0 = -2*k - w + 5 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6825 + 19155. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 4*l. Let b be n(5). Let q = -6 + 12. Solve b = q*t - t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32.18 * -20253\nAnswer: 651741.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1196 and 3676439?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-46)\/18)\/((-2135)\/3843) - (-6874)\/420.\nAnswer: 115\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 18*q - 40. Let n be j(-20). Suppose 78 = p - n*p. Suppose -22*c + 25*c = p. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 0)*(-8)\/20. Let i + 0 + 0*i - d*i**3 + i**5 + 0 = 0. Calculate i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 3 + 0 - -5. Suppose -m - s*o + o - 3414 = 0, 5*m - 4*o = -17166. Round m to the nearest 100.\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -q**5\/2 + 47*q**4\/4 - 171*q**3\/4 - 27*q**2\/4 + 513*q\/4 = 0?\nAnswer: -3\/2, 0, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -19*q + 219. Is 12 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147711 less than or equal to 147711?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 1:53 AM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17768.1 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -141 - 16709?\nAnswer: -16850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8879*u**2 - 988 - 1016 + 2002 + 2*u to z + r*u + j*u**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + y**2 - y - 4. Let k be h(0). What is the units digit of (62\/k)\/(9\/(-18))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3709, 7836, 12055, 16366, 20769, 25264?\nAnswer: 29851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5875 = 63*s + 239*s - 67*s for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 204928, 1639612, 5533758, 13117096, 25619356?\nAnswer: 44270268","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26041523 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 112?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3035886.\nAnswer: 2, 3, 7, 41, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1 (b) -3\/5 (c) 73 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*c + 41*c = 3. Let n(x) be the first derivative of -1\/3*x**3 + c - 5\/2*x**2 - 2*x. Determine n(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 272 = -2*a + 8, 4*a - 550 = -2*w. Suppose -16*d - 195 + 510 = -389. Calculate the remainder when a is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-1 - -10 - 2) + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oomoooooosooos. What is prob of picking 3 o and 1 s?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 206710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of -p**4\/4 - 3*p**2 - 9*p. Differentiate w(i) with respect to i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37013994 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17380 + 54263\/3. Let m = 708 - n. Let f = 353\/255 + -19\/15. Which is the second biggest value? (a) -1 (b) 3 (c) f (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 3*l + 0*l**2 - 17\/6*l**4 + 0 + 40\/3*l**3 - 1\/10*l**5. Find the second derivative of k(w) wrt w.\nAnswer: -12*w - 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2998576796 rounded to the nearest ten thousand?\nAnswer: 2998580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 364852633 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: 0.41 + -11844948355\nAnswer: -11844948354.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qttt when four letters picked without replacement from {m: 1, q: 2, o: 11, t: 2, h: 1, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -39 + 47. Suppose 5 + 11 = x*d. Is d even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/10 + (-969)\/(-85). What is the greatest common factor of m and 168?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18.9 - -32.2. Let x = -14 + y. Let b = -0.3 - x. What is the third biggest value in -0.3, -0.1, b?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6037 times -495.03?\nAnswer: -2988496.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 1 = 11. Suppose 5*c + 5*l + 21 = 6, 24 = -5*c + j*l. Let b be c\/10 + 27\/5. Solve -3*i + b*i = -4 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21300661 (base 7) to base 13\nAnswer: -4b7474","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -483 + 106 = -83*m + 619 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p. Suppose 14*x - 15*x + 378 = p. What is the greatest common factor of 54 and x?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-40)\/(-60) + (-79888)\/(-3). Round y to the nearest one thousand.\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 11*t + 60 = 0. Suppose -10 + 2 = -2*k. Suppose -k*q + q + 12 = 0. Solve t = 3*g, -q*y + 0*g = 3*g + 1 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -h - 3*o + 235, -5*h + 1219 = -o. Let s = -7513 - -7548. What is the remainder when h is divided by s?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 145.5 - 141.48. Round t to one decimal place.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11760*4443.\nAnswer: 52249680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -1541*d - 302*d - 343*d + 159 - 159 in the form n + y*d and give y.\nAnswer: -2186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/1*(-286)\/(-25025)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 16*p - 1473. Determine h(91).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jccj when four letters picked without replacement from cjjcjjjjcj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -2*o + 5*h, 1223*o = 1225*o + 2*h + 4 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 5*g + 17, 3*g = -5*n + 3*n - 20. Let h(r) = 438*r - 881*r + 435*r + 7. Let f be h(n). What is the greatest common factor of 9 and f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17d (base 15) in base 13?\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 - 5 + 83*f**3 + 1 - 84*f**3. Let w be m(-3). Suppose -3*z = -w*r + z + 330, 4*z - 228 = -4*r. Is 20 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/20 - -3) + 21\/12.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 44 = k, 8*k = -5*c + 4*k + 22 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3121985 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*q**2 + 18*q**2 + 1 - 3*q**2.\nAnswer: 25*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 15830 = -5*f, 4*f + 2*q - 12668 = 4*q. Let r be f\/(-15)*625\/(-2). Round r to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.014119505 - -0.01418. What is l rounded to 6 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 + (34 - 17) + -10?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the third derivative of -u**6\/120 - u**5\/15 + 13*u**4\/24 - 4*u**3\/3 - 5*u**2. Let n = 17 + -23. Let c be j(n). Round c to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 16*l - 23*l + 4*l to o + m*l and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10323 - -212?\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 1)*(3*v + 0*v - 2*v) + 0*v + v + 4*v + 1093*v - 3137*v + 422*v.\nAnswer: -1618*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47 + -38. Suppose 2*q = u*q - 14. Solve q*g = 3*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14224163 (base 7) to base 3.\nAnswer: 2111202221012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1700 + -1696. Suppose -3*t - 1 = -4*h + 7, 0 = t + 3*h - 6. Solve -k*p = -t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80859143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) - 56\/120. Let z be 6 - 160\/28 - 51\/7. What is the nearest to r in -0.3, z, -4\/9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1254555.\nAnswer: 3, 5, 9293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u - 50 = -45*u. What is the units digit of (9115\/u + -1)\/((-4)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 3*n - 2*i + 3, 0 = 3*n - i + 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*r**2 + 6*r**2 - 6*r - 16*r**2 to the form v*r**2 + w*r + g and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9217663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a - 5. Let q(t) = -73*t - 15. Let c(j) = 29*j + 7. Let d(p) = -5*c(p) - 2*q(p). Determine -3*d(b) + 4*v(b).\nAnswer: b - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5984541?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 3*z - 368 + 16, -2*s = -4*z - 366. Calculate the remainder when 4295 is divided by s.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 10584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*u - 12*u - 9*u in the form z*u + x and give z.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 44*b + 1. Let p be w(3). Let i = p + 95. List the prime factors of i.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14075006438 + -2.\nAnswer: 14075006436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -151.6 to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(2\/9))**(-7\/6)\/(l*l\/(((l**7*l)\/l*l*l)\/l)*l*l**(4\/9)*l)*(l*l*l**0*l)**8\/(l**(-2))**(-1\/2) assuming l is positive.\nAnswer: l**(710\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v**4 + 4*v**4 + 2*v**4 + (-5*v**2 + 0*v**2 + 3*v**2)*(2*v - 2*v**2 - 2*v) - 123*v**2 - 131*v**2 + 250*v**2 - 73*v**4.\nAnswer: -68*v**4 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19 times 4273?\nAnswer: -811.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -0.5 (b) 0.4 (c) 0 (d) 1428 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.04 - -0.04. Let o = 9 + u. Put 0.2, o, 1 in decreasing order.\nAnswer: o, 1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**3 - 12*s**2 + 13. List the prime factors of z(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nmmmn. What is prob of picking 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 5*w = -5*c + 390, -5*w + 311 = 4*c. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-59)\/(-59)*6\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3421?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/246 and 113\/132.\nAnswer: 5412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3051*q - 311875 = 3044*q + 58740. Is q a multiple of 153?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-57) - (-10486)\/117914?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 - 71 + 34 + 39 - 2*u**4 - 2*u to p*u + v*u**3 + c*u**2 + o*u**4 + w and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -262, 1\/8, -1.3?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*g + 2*q + 3054 = 8*g + 3094, -2*g - 12 = -4*q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2486)\/(-8) + ((-14)\/8)\/(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 - j + 77. Let w be x(0). Suppose 832 = -n + w. Let i = n + 2245\/3. What is the common denominator of i and 17\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) 32 (c) -79 (d) 2.802\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i**2. Let y(s) = 5*s**2 - 5*s + 67. Let r(o) = -6*n(o) + y(o). Let b be r(-11). Solve -8*m + b = -15 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*x - 5*y - 373, -7*x + 209*y = 210*y + 45 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 809630*a*q**3*w + 5*a*q**3 + 17961*a*q**2*w + 2*a*q + 4*q**3*w + 6*q**2*w wrt q.\nAnswer: 4857780*a*w + 30*a + 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 69532.\nAnswer: 69529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1445241 - -8148041. Round b to the nearest 100000.\nAnswer: 6700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/6 + 12\/(-36). Is 11\/((-88)\/16)*27*j a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 2.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 781, 3197, 7445, 13705, 22157, 32981?\n\"Answer: 30*m**3 + 736*m**2 - 2*m + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4456 + -4449. Calculate the highest common divisor of l and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724522890 a multiple of 2665?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*t + 4 = -234 - 85 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 398011785?\nAnswer: 3, 5, 983, 26993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40510710 and 56714994?\nAnswer: 283574970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 635733 = -3*u, 3*u + 222454 = s + 10547. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3664?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 13354642219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 9*u**4 + 9*u**2. Let w(z) = -4*z**4 + 16*z**2 + 0*z**4 + 12*z**2 + 32*z**4. Let y(x) = -16*s(x) + 5*w(x). What is the third derivative of y(g) wrt g?\nAnswer: -96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 4*m + 3*p, 497*p - 495*p - 2 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 872372.34ms in hours?\nAnswer: 0.24232565","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351015811 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/542 and 4\/110*(-2375)\/760*10?\nAnswer: 5962","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33 + -33. What is the nearest to c in 5, 1\/6, 3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122383, 122386, 122389, 122392, 122395?\nAnswer: 122398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2729, -19, 2 in descending order.\nAnswer: 2, -19, -2729","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490139?\nAnswer: 13, 37, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2046570 rounded to the nearest 10000?\nAnswer: 2050000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 33?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -4041, -11347, -21911, -35733, -52813, -73151?\n\"Answer: -1629*y**2 - 2419*y + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-4))\/z**(3\/2)*z**(1\/4)*z*z**(-4)*z)\/((z**(1\/5))**(-37)*z*z*z**(-4)*z*z*z\/z**(-2\/13)) assuming z is positive.\nAnswer: z**(2079\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - ((-30)\/50)\/((-16)\/(-65)). Is 0 < s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 12 = -9. Let l(t) = 6*t**3 + 11*t**2 - t - 13. Let g(k) = -k**3 - k**2 - k + 1. Let a(m) = -5*g(m) - l(m). Does 15 divide a(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1010 and 34946?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yo when two letters picked without replacement from {y: 5, q: 1, o: 1, n: 2}?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(k*k\/((k\/k**(1\/4))\/k)))\/k)**(-1\/14)*(k\/(k\/(k*k\/(k**(2\/3)*k))))**(-7\/11))**28)**27 assuming k is positive.\nAnswer: k**(-855\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -13*r**3 + 8*r**2 - 19*r + 22. Let x be o(-8). Let z = x + 19417. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -1.3. Suppose -180*s - 259 - 242 + 141 = 0. Which is the nearest to o? (a) -4 (b) 0 (c) s (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (47 + -46)*(-4 + 3). Let t(i) = 32*i - 1. Give t(g).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-115 + 88 + 124 + 26)*(-h**2 - h**2 + 3*h**2) to f + s*h**2 + k*h and give s.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 42\/5 of a decade?\nAnswer: 1008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -461 or -458?\nAnswer: -458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.4 (b) 2\/9 (c) -13 (d) -2\/81 (e) 1.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1608*h**2 + 357*h**2 - 188*h**2.\nAnswer: 1777*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2794269537?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -210*z**3 + z - 1. Let b be f(1). What is b rounded to the nearest one hundred?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32.17 + -0.83. Let w = u + 33.17. Let p = w - 0.37. Which is the closest to 1? (a) 0 (b) 0.2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 1\/2, 0.4, -2, -407?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k - 16. Give a(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 80*z**2 - 4*z + 1. Let f(y) = 155*y**2 - 9*y + 2. Calculate -2*f(i) + 5*h(i).\nAnswer: 90*i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -223, -261, -311, -373, -447?\n\"Answer: -6*z**2 - 20*z - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2134138564?\nAnswer: 2, 533534641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*n + 3. Let d(k) = -k**2 - 5*k + 4. Let c be d(n). Suppose c*v - 218 = 46. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**21*r*r*(r*r**2)\/r assuming r is positive.\nAnswer: r**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*o = 12, 5*o + 6 = b + 2. Suppose -4 = b*c - 0. Let d(t) = -7*t**3 + t. Is d(c) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 - 0.22. Let v = -0.8 + 0.6. Sort o, -2\/9, v in descending order.\nAnswer: v, -2\/9, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 79 - 17 - 16 - 30 - 4*z**2.\nAnswer: -4*z**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the first derivative of 4 - b - 3\/4*b**2 - 1\/6*b**3. Factor z(x).\nAnswer: -(x + 1)*(x + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -181 + 197. Calculate the remainder when 111 is divided by m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 10:24 AM?\nAnswer: 7:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p + 11*p + 8 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -31 - 17. Does 19 divide (-1)\/3 + (-352)\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 6, k: 1, f: 3, s: 2}. Give prob of sequence sdd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -8, j = -3*j - 3*v - 14. Calculate the remainder when (-11)\/(-4)*(-8)\/j is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 z when three letters picked without replacement from {p: 3, t: 2, e: 6, z: 1}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 + -58 - (-13 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 8*t - 6*t - 7 + 5*t + 8*t.\nAnswer: -t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3147, 6290, 9425, 12552, 15671?\n\"Answer: -4*l**2 + 3155*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0 = -3, q - 4*r + 3 = 0. Which is the biggest value? (a) q (b) 4 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4\/5 (b) -0.5 (c) 2\/5 (d) -18\/17 (e) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -4*r + 175, 0*a - 4*a + 221 = 5*r. Suppose 6*w = w + r. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.047, -0.065, -2?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3 less than 2695519.07082?\nAnswer: 2695521.37082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7313 - -7315. Solve 26 = 4*v + c + 35, 0 = s*v - 5*c - 1 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*u - 6, -12 = 5*u - 2*v + 6*v. Suppose -2*b + 5*b = u. Suppose b = -s - s + 6. Does s = 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + 8. Let a = 11 - p. What is c in -2\/3*c**a + 2\/3 + 0*c = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 16 - 8*l**2 - 3 - 4*l + 0*l + 3*l + l**3. Let d be q(8). Suppose -r - 2 = -d*i + 92, 2*i = -r + 39. Calculate the remainder when 75 is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1709550 and 1179.\nAnswer: 1709550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-51*f + 39*f + 59*f + (-2 + 2 - f)*(3 - 2 - 2) - 2 + 2 - 2*f)*(12*f + 6 - 6).\nAnswer: 552*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*n - 11759 - 19937. What is the least common multiple of n and 1132?\nAnswer: 2264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10\/19 - -46\/57. Factor b*j**3 - 1\/3 - 2*j**2 - 1\/3*j**4 + 4\/3*j.\nAnswer: -(j - 1)**4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 51*h + 12. Let k(a) = -4*a + 1. What is 9*k(j) - x(j)?\nAnswer: -87*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v - 3. Let b(w) = -w - 14. Let s(j) = 3*b(j) - 15*p(j). Calculate s(-2).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10051 (base 6) to base 10.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pem when three letters picked without replacement from eeemepoeekz.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 117.94 - 107. Let q = m + 0.06. Let a = 11.000016 - q. Round a to five dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 35192, -19 in decreasing order.\nAnswer: 35192, 4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -800*t**5\/11 - 560*t**4\/11 + 4222*t**3\/11 - 3618*t**2\/11 + 810*t\/11 - 54\/11 = 0.\nAnswer: -3, 3\/20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j**(-2\/19))\/(j**(-2\/3)*j))\/((j*j**(-3\/7)*j)\/(j\/(j\/j**(-2\/13)))))**(6\/17))**(1\/11) assuming j is positive.\nAnswer: j**(-12074\/323323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6553443 is divided by 1479.\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 97225999*v**3 + 54*v**2 + 66*v - 1776 wrt v.\nAnswer: 583355994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-66)*36\/(-24)\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123 = -5*c + 3. Let u be (-1)\/3 - (-22)\/c. Let o = 25\/6 - 14\/3. Sort o, u, -1\/7 in descending order.\nAnswer: -1\/7, o, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**10)\/(t\/(t*(t*t*t*t**(2\/7)*t)\/t*t))*t**(-5\/2)*t**(2\/5) assuming t is positive.\nAnswer: t**(923\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2816 and 182688.\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a - 2*a)*(-288*a**3 - 46*a**2 - 79*a**3 + 48*a**2).\nAnswer: 734*a**4 - 4*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 50, -3\/4, -0.7 in decreasing order.\nAnswer: 50, -0.7, -3\/4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -524.95 take away -8?\nAnswer: -516.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/12 - (-22)\/(-8). Let d = i - -6. Factor 3*c - c - 4*c**3 + c**3 + c**d.\nAnswer: -2*c*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 2*l - 1796. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 271*i - 24128. Let r be j(89). Let k(q) = -q**2 - 7*q - 5. Let p be k(-5). Which is the third smallest value? (a) -1\/3 (b) r (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1065.604 + -1075. Let i = -0.356 - v. Round i to 0 decimal places.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 45\/7 in -2\/7, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -537363591 and -826.\nAnswer: -537364417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6629053?\nAnswer: 61, 109, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/sqrt(3) - sqrt(16)\/sqrt(2)*-3)\/((1*sqrt(24)*-3)\/(-2*(sqrt(6)*-1 - sqrt(6)))).\nAnswer: -8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4782, -4817, -4852?\nAnswer: -4887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143399254 is divided by 564?\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 - 8. Let y be (27\/(-2))\/((-6)\/16). Let u be 6\/4*(-8)\/y. What is the third smallest value in f, 0.2, u?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 106609464 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 5, 22, 49, 86?\n\"Answer: 5*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -153466659 by 7957.\nAnswer: -19287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 237, 903, 2015, 3573, 5577, 8027?\nAnswer: 10923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**2 + 29 - 319*r + 319*r to the form d*r**2 + u + b*r and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 4*57\/84.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*l + 584, -2*l + 388 = 376*n - 372*n. Calculate the least common multiple of l and 140.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212221001 (base 3) to base 4\nAnswer: -10100203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1538 - -2?\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 17. Suppose -5*u + 2 = -m. What is the remainder when 50 is divided by ((-26)\/u)\/(3 - 4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4412977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 5*h + 29. Let u be g(-5). Solve -u*s - 5 = s - 5*y, 2*y = -4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -165\/26, 180, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -4*c**2 + 2. Let b(x) = -5*x**2 + 3. Suppose -48*w + 12 = -50*w. Let u(s) = w*a(s) + 4*b(s). Let k(h) = -44*h. Give k(u(y)).\nAnswer: -176*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 122*w**2 + 337*w - 1900. What is the units digit of g(-119)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmjmj. Give prob of picking 3 m.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6329284?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(72) + -1)*3 - (sqrt(4) + sqrt(16)\/sqrt(4))\/sqrt(2)*-4)**2.\nAnswer: -156*sqrt(2) + 1358","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -12933*o. Let w(t) = 43*t**2 - 1. Give w(z(d)).\nAnswer: 7192287027*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 7680 = -69*r. Does 40 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6*27\/18 - (-196)\/(-21). Which is the nearest to -1? (a) k (b) 8\/5 (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 6*w**2 - 6*w + 7. Let g(a) = -5*a - 7. Let r be g(-5). Suppose -5*p - 17 = r. What is l(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45250, 185072, 418108, 744358?\nAnswer: 1163822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -69327279 to the nearest ten thousand.\nAnswer: -69330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -5, -7\/3, 2, -7, -18?\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2151*b**2 - 3609*b**2 + 2718*b**2 - 4*b as f + i*b + x*b**2 and give x.\nAnswer: 1260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 13\/(-154)*(-2807)\/(-6). Let i = z - 1\/132. Find the common denominator of i and ((-15)\/(-42))\/((-2)\/10).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d = -52 - 68. Suppose 2*m - 3*u + 5*u + 8 = 0, -3*m + 5*u = d. Put 13, m, -5 in ascending order.\nAnswer: -5, m, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y**3 + 5*y**2 - 11*y - 1. Let l(b) = -6*b**3 - 5*b**2 + 10*b. Let u(o) = 5*j(o) + 6*l(o). Let s be u(-6). Let t(r) = 43*r + 1. Does 11 divide t(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18123?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -111644, -111551, -111460, -111371, -111284?\n\"Answer: -t**2 + 96*t - 111739","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -4760000 to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 123 + -129 + (32 - -21).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 - 93. Let o be -3*h\/(-165) + (-80)\/(-44). Suppose 4*y - 26 = -5*z, 4*y - o = z + 3*y. Solve 3*s + 1 + z = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**2\/p))**(3\/8)*(p\/p**(-1)*p*p)**39 assuming p is positive.\nAnswer: p**(1251\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, q: 1, r: 1}. Give prob of picking 1 y and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5664 is divided by 378?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(-6) - (-56)\/48 - 3. Which is the nearest to 0? (a) h (b) 0.6 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-4))\/n**(-3\/8))**20*(n**(2\/5))**(-1)*n**(1\/4)\/(n\/n**(-2)) assuming n is positive.\nAnswer: n**(-1113\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5638 minus 0.94028?\nAnswer: -5638.94028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.037 in -0.2, -9\/8, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w*w\/w**(-1)*w*w))**19\/(w\/(w*(w*w**(1\/3)*w*w*w*w)\/w)*w)**(3\/2) assuming w is positive.\nAnswer: w**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 235971 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32 - -26 - (-1 - (-3 + 1)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7.553612 centuries?\nAnswer: 9064.3344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 116285850?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -290\/499 or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = -k + 20. Which is bigger: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -67\/10 (b) -678 (c) 0.5 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8)*(-2)\/(-1).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -21131120031?\nAnswer: 21131120022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 5*q - 6. Let u(d) = -6*d + 7. Let m(y) = 7*l(y) + 6*u(y). Let k(a) = 183*a + 5 - 209*a - 5. Calculate k(m(c)).\nAnswer: 26*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 99.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -6, -2, 2 in descending order.\nAnswer: 60, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*c - 625, a + 3*c - 219 + 554 = 0. Let v be ((-1)\/4)\/(16\/a). Solve 0 = -v*f + 3 + 2 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56706534787 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/5*(((-135)\/(-10) - -2) + -3). Let j = 14 + 1. Calculate the greatest common factor of w and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78 and 2709324?\nAnswer: 35221212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 r, and 1 x when three letters picked without replacement from bubuuxxpuuuurubxupx?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + -3 - 2) + (-8 - 9).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 5808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 4*i + 67 = 57, -5*m - 3*i - 40 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -807 or 23568?\nAnswer: -807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6136 and 94341.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in -1, -5, -1\/3, -0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 + 2 - (-18)\/14. Let y = -6.542 - 0.058. Let z = -6.1 - y. Which is the closest to o? (a) -0.3 (b) z (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(13)*-1*3.\nAnswer: -15*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18485, 18488, 18491, 18494?\nAnswer: 18497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3 + 108218*h**2 - 1468049440*h + 112399095424.\nAnswer: -2*(h - 27016)**2*(h - 77)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-42) - (-21)\/49)\/((-14)\/(-980)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 38 and 3097?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 52 - 56. Let g(b) = b**3 + 3*b**2 + b. Determine g(t).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/14)\/(-2) - 17\/(-7). Suppose -2*l + 0 = 4*r + s, 2*r = -6. Let f(z) = -5*z + 4. Calculate f(l).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26.981 - -0.019. Let q = 27.2 - j. What is the closest to 2\/5 in 2, q, -5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 - 392 = 28*v for v.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3527*r**3 + 481*r - 3524*r**3 - 481*r.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5 + 7. Let m = z + 1. Let b be -3 + (13 - 3) - (1 - 2). Which is smaller: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 37*p**2 + 116*p - 524. Determine r(-33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10.9 - -11.2. What is the third biggest value in 0.2, 3, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 108240?\nAnswer: 2, 3, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11732892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4358610, 4358612, 4358614, 4358616, 4358618?\nAnswer: 4358620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yyffyffyyyyfy.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 667 and 145?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 4, -14, -5, -0.5, 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 8, 10, 223, 7, -22, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 + 4 = -5*a - 5*x, -3*x = -5*a - 53 + 79 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2642 rounded to the nearest 100?\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is j in 4*j**5 - 50872*j**4 - 8239424*j**3 - 32143488*j**2 = 0?\nAnswer: -156, -4, 0, 12878","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/2688 and 55\/1538.\nAnswer: 2067072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1993.81 minus 110538496?\nAnswer: -110536502.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n - 650 = 7*n. Let j = n + -104. List the prime factors of j.\nAnswer: 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 5*f + 5*f)*(11*f - 23*f + 11*f - 5).\nAnswer: -f**2 - 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-103)\/4 + 6\/8. Let f = -22 - m. Suppose -f*g + 5*g + 32 + 14*g + 2*g**2 = 0. What is g?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -5.61418.\nAnswer: 22.45672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 82 + -76. Let h = 9 - i. What is the nearest to -1 in 2\/5, 1\/8, h?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 124 - 143. Let x be 1*-6*1\/(-4). What is the second smallest value in x, 3, b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 222220 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6673826998?\nAnswer: 2, 647, 5157517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -536, -1056, -1540, -1970, -2328, -2596?\nAnswer: -2756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3708566 is divided by 412041?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 29*r**2 - 158*r + 33. Determine n(5).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 1)*(g**4 + 0*g + 0*g) - g**4 - 4*g**4 + 3*g**4 + g**4 + 4 - 4 + (3*g**3 - 2*g**3 + 0*g**3)*(2*g - 2 + 2) + 2*g**4 + 0 + 0.\nAnswer: 4*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 5016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 13*h**2 - 12*h - 22. Let s be z(14). Suppose s*j - n = 2*j + 569, 149 = j + 2*n. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.03032 and -0.015972?\nAnswer: 0.00048427104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1895994262?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -84*i. Let w be n(1). Let f = w - -422\/5. Do 1 and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 22. Suppose 1 + w = -2*y. Let g(h) be the first derivative of -h**4\/4 - 8*h**3\/3 - 7*h**2\/2 + 8*h - 30. Give g(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 50 = 4*m - 22, m + 3*r + 7 = 0. Let h = 17 + m. Suppose 10*a - 126 = 174. Calculate the highest common divisor of h and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 7 + 7. Suppose -5*y + 3*q - 6*q + 26 = 0, -3*y = q - c. Suppose -75 = -y*z + 169. What is the remainder when z is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1110101 - -101100000?\nAnswer: 11101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 7*i**2 - 3*i + 1. Calculate z(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 31 = -4*j, 4*j = 4*a - 2*a + 10. Suppose -3*k + 4*x = 6*x + 5, 2*x = 4*k - 12. Solve -2*t + k = -a for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 72\/97 in -3\/2, 0, 2, -2\/25?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a + 4. Let j(y) = -3*y + 1. Let c(p) = 7*j(p) - 2*l(p). Let f be c(-6). Let q be -2 + -1 - (0 - f). Solve -3 = -q*s - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/18*-3 - 0. Let n be (6\/10 + (-2)\/(-5))*1. Which is smaller: k or n?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2350039051 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 13) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3429 is divided by 4\/46 - 791\/(-161) - (9 - 25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23 + -30. Suppose 0 = -3*u + 2*u - 11. Let i = c - u. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -37 + 40. Suppose -2*k = -0*k - 2*y - 12, -4*y = -u*k + 21. Solve -7*a - 4*p + 10 = -2*a, 4*a + p = -k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -4*j - j. Suppose g - 2*p = 8, -5*p - 24 - 1 = -3*g. Let h = g - -72. What is the least common multiple of j and h?\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = -15, h = -h + 2*q - 18. Let c = h + 9. Suppose -c*f - 14 = 1. Put f, -4, 2 in decreasing order.\nAnswer: 2, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 12*o**2 + 28*o - 2. Let j be y(14). What is the closest to -0.1 in j, 3\/7, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 2\/9, -0.03, 2\/19 in decreasing order.\nAnswer: 2\/9, 0.2, 2\/19, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-140) - 92\/(-420)*9. Solve -24\/5*j**4 - 312\/5*j - 114\/5*j**3 - 2\/5*j**5 - 144\/5 - 268\/5*j**v = 0 for j.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10 and 38.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 398 is divided by 181.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + sqrt(187)*-2)*1)\/(sqrt(11) + -1*sqrt(11)*-5).\nAnswer: -sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 2 = -3*g. Suppose -11 = 2*s - 3. Let i = g - s. Solve i*w = -2 + 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 9*q**2 + 15*q + 44. Calculate n(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22427\/7984 - -7\/1996. Find the common denominator of -55\/548 and z.\nAnswer: 2192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4 + 48\/(-10))*-5. Suppose s - 5*b = 0, 7*s = 4*s - k*b - 38. Let q = s - -4. Let j(i) = -i**3 - 5*i**2 + 5*i - 2. Calculate j(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 + 17. Is -13\/14 at most y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3722376 rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5*u - 12 = 12, -4*q + 12 = u. Suppose y = q*y - 4. Solve 0 = -f + 2*r + 6, -y*f - 2*r + 1 = -3 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*y - 120*y + 69 + 275 = 1763 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17794?\nAnswer: 2, 7, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 3:37 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:14 AM and 3:39 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -357, 32, 5, 3 in decreasing order.\nAnswer: 32, 5, 3, -5, -357","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3781905814 to the power of 1\/5, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abeaaeeeeebaaaae. Give prob of sequence be.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -841865 and 5.\nAnswer: -4209325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(8\/(-199))*(2 + -6). Suppose x = m + 21. List the prime factors of m.\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**3 + 76*s**2 - 140*s + 68.\nAnswer: -4*(s - 17)*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 y when three letters picked without replacement from jmjjjjmjmmmjjjjmyjj.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 2\/125, 2 in increasing order.\nAnswer: 2\/125, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + (sqrt(75) - 2*sqrt(75)) + 0 + sqrt(75) + 1 + 1)**2*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7078485378?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3043*b**3*p**2 + 392*b**3 + 2*b*p**2 + 6*b*p + p**2 + 4*p + 11 wrt b.\nAnswer: -18258*b*p**2 + 2352*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 47398896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of v**10\/840 + v**6\/90 + 5*v**3\/3 + 14*v. Let g(a) be the second derivative of h(a). Find the third derivative of g(y) wrt y.\nAnswer: 720*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 2*a + 2. Let p be v(1). Let z be (-194)\/p + 3\/8*-4. Is 246\/(-4)*z\/15 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 70 divided by 1\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -5.095.\nAnswer: 12.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 985 - 535. Suppose 0 = -11*z + 6*z + f. Suppose m - z = -4*m. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1137968 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2276 - -14. Suppose -5*z + u = j + 4*j, -3*j + 1374 = 4*z. Suppose -2*h + 142 = -j. Round h to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 9:33 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-4 - -6) - 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -33479, -32993, -32195, -31091, -29687, -27989, -26003, -23735?\nAnswer: -21191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 241 and 18.92.\nAnswer: 259.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, b: 8, a: 3, c: 2, w: 1, t: 2}. What is prob of picking 1 b, 1 c, and 1 w?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**3 + 164*o**2 + 136*o - 960.\nAnswer: 4*(o - 2)*(o + 3)*(o + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -3*q + 96 - 115, 5*p - 3*q - 34 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 2 = 14, -p - 3*m = -6 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 at least as big as 95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93 = -545*j + 536*j + 12 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -j + 3. Let k be -2*(-6 - -3)\/j. Is 2\/55 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 59 + 24. Let g(h) be the third derivative of 0 + 1\/60*h**5 - 19*h**2 + 3\/8*h**4 + 0*h + 3\/2*h**3. Determine g(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m**2 - 5*m + 18. Does 42 divide h(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1820772 is divided by 8314?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 3 = 5*g, 25*g - 22*g + 1 = -2*w for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 - -2765. List the prime factors of q.\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 6*i + 53. Let h be s(-8). Suppose h*p = 0, r = -2*p + 3*p + 4. Calculate the greatest common factor of 38 and r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156136*h = -156133*h + 72 for h.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2085249 divided by -23?\nAnswer: 90663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 34414, 275446, 929682, 2203726, 4304182, 7437654, 11810746, 17630062?\n\"Answer: 34434*u**3 - 2*u**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 29133152 or 29133166?\nAnswer: 29133166","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -4*y + 2. Suppose -2 = q - 6. Let l(o) = o - 1. Let c(b) = -7*b + 6. Let d(m) = c(m) + 5*l(m). Let g(k) = q*r(k) - 7*d(k). Determine g(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2014914*l**3 + 100231*l wrt l.\nAnswer: 12089484*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 5, l: 8, s: 3}. Give prob of picking 3 l and 1 s.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 466793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, -232, -595, -1032, -1567, -2224, -3027?\nAnswer: -4000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6*t\/(t\/t**(-6)))\/((t\/(t*(t*t*t*t**(-3\/5)*t)\/t))\/t)**(-40))**17 assuming t is positive.\nAnswer: t**(-2312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -516174.\nAnswer: -5\/516174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 116 a factor of 593157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 260a (base 15) to base 13\nAnswer: 38cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.02 + -8.98. Let g = -24 - o. Let j = 15 + g. Is 0.4 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 28.03 + -28. Let t = 0.47 + q. Let v = -17 - -15. Which is the second biggest value? (a) t (b) -0.2 (c) -1 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1248 and 6488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -945 - -378. Is -564 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -514*s + s**3 - 504*s + 1019*s - 2*s**2 - 102 + 3*s**2. Determine y(0).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -46201, 0.16, -0.2, 0.1, -3, 0.3, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 614837 and 31210?\nAnswer: 6148370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l*l\/(l*l**(-1\/5)*l)))\/l**(1\/8)*((l\/(l\/l**(-1\/4)))\/l)**(1\/41) assuming l is positive.\nAnswer: l**(2697\/1640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 403276449?\nAnswer: 3, 467, 287849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 8 * -297.02.\nAnswer: -2376.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 602681876?\nAnswer: 2, 150670469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together -29.96931 and -0.7209988.\nAnswer: -30.6903088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 19419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -19. Calculate the highest common divisor of j and 72.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -116*v**2 + 87*v - 1058. Let q be w(11). What is q rounded to the nearest 100?\nAnswer: -14100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -534 - -529.57. What is q rounded to zero decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 43.14 - 207759.\nAnswer: -207715.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.209 - -0.889. Round v to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2831 is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 20\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1144?\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -115.84 and -218.5.\nAnswer: 25311.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -25*p**3 - 1. Let v be a(-1). Let o = -16 + 9. Let d be o\/(-21) + 17\/3. Calculate the greatest common factor of v and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from {e: 2, u: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*u + 5601 = -14961. What is the remainder when u is divided by 55?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9.70999934925 - -9.71. What is d rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 6, 4, -4 in descending order.\nAnswer: 6, 4, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -454791754 + -0.249.\nAnswer: -454791754.249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l + 0*l + 4*l)*(-l**2 - l + l + 1 - 2*l**2 - 1 + (l - 2*l + 2*l)*(-l + 0*l - l))*(-84*l**2 - 6*l**2 + 7*l**2).\nAnswer: 415*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7)*49\/(8232\/420)?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the first derivative of -v**4 - v**2 - v + 7. Calculate k(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6493957331 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2546927 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -h - 4*j + 2843 + 1625, -4*h + 17940 = -j. Is h a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/8)*h**(2\/3))\/(((h*h\/(h\/h**(2\/3)*h))\/h)\/h**(-5))*(h\/(h**(2\/11)*h)*h*h\/(h\/(h\/(h*h**(-2\/13)*h))))**(2\/5) assuming h is positive.\nAnswer: h**(-22229\/5720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccnc when four letters picked without replacement from nnnnnnnnnnccnnnncccn.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 35734.69 * -4\nAnswer: -142938.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11340 is divided by 5083.\nAnswer: 1174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 14*g + 12. Let p be i(10). Suppose 0*l + p = 4*l. What are the prime factors of l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-88))\/((-47)\/(-188))*20.\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -109b267 (base 12) to base 14.\nAnswer: -5d138b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = s - 104, -9*s + 14*s - 220 = 4*z. Is z\/225 - 92650\/(-18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**3 + 6*d**2 - d - 1. Suppose 5*f + 2 = -z - 2, -4*f + 49 = -5*z. Let q = 6 - z. Calculate the remainder when u(-5) is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2*((-2*(sqrt(156) + (-2*sqrt(156) - sqrt(156))))\/(sqrt(18)\/(-1*sqrt(6))) + sqrt(832) + (sqrt(832) + -1)*2 + 0))**2.\nAnswer: -256*sqrt(13) + 13325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x - 1 + 6*x - 3*x)*(-2*x**4 + 0 + 0 + (2*x**3 + 2*x**3 - 5*x**3)*(4*x - 4*x + x) + x**4 - x**4 - x**4 + (4*x - 4*x - x)*(-x**3 - x**3 + 0*x**3)).\nAnswer: 4*x**5 + 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 2401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 0*d. Let v(y) = -y**3 - 8*y**2 + 4*y - 21. Let r be v(-9). Let u be 138\/r + 6\/(-8). Put u, -3, d in decreasing order.\nAnswer: u, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 209270 and 2720?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16664\/57 + -17\/114. Let z = p + 6571\/22. Are z and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 226, 497, 780, 1075, 1382, 1701, 2032?\n\"Answer: 6*u**2 + 253*u - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*a**3 + 9*a**3 + 20*a**3.\nAnswer: 21*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 18*j. Calculate the remainder when m(17) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x - 4*x + 4*x - 3*x - x + 5*x + 3*x - x - x + (1 - 4 + 5)*(1 - 1 + x) + 27*x + 32*x + 6*x + (-2 + 3 + 1)*(-2*x + 1 - 1) - x - 3*x + 3*x.\nAnswer: 63*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 342112.6 kilometers?\nAnswer: 34211260000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**8\/13440 + n**5\/30 + 3*n**2 + 12. Let y(q) be the third derivative of v(q). Factor y(j).\nAnswer: 3*j**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h - 32. Suppose -h + 30 = 2*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -424417, -424416, -424415, -424414?\nAnswer: -424413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*s + 36. Let p(r) = -2*r - 9. What is the units digit of p(s)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -36. Let f(t) = -2*t - 506. Calculate -2*f(k) + 22*m(k).\nAnswer: 4*k + 220","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -146 = -302*x + 299*x - 47 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -1\/4, -0.3, -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -843588, -1687175, -2530762, -3374349, -4217936, -5061523?\n\"Answer: -843587*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1726637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 102535.632 nanoseconds?\nAnswer: 0.000000001186755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1094773*m**2*n + 4*m**2 - 9494746*n wrt m.\nAnswer: -2189546*m*n + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6026330 + -65?\nAnswer: 6026243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (96\/35)\/(216\/1008)*(-75)\/30.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3*d + 7. Let w be q(-6). Suppose -3*o + p - w = 0, -2*p + 5 = -o - 0. Let k = o - -5. Is -3 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the second derivative of j**4\/12 + 2*j**3\/3 + 3*j**2 + 519*j. Let t be 18\/(-8)*16\/(-6). Let d(o) = 3*o**2 + 11*o + 17. Determine t*d(z) - 17*h(z).\nAnswer: z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -58, -6, -3.\nAnswer: -58, -6, -5, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0 - 16 = m, 2*r = 4*m + 10. Suppose 20 = -5*w + k, 2*k + k = w - 10. Let z = r - w. Solve 0 = z*y - 7*y + 25 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k. Let b(j) = 2*j**2 - 15*j + 1. Calculate -b(l) + 5*q(l).\nAnswer: -2*l**2 + 20*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 201530 to the power of 1\/2, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*x - 141, 3*x = 4*l + 2*x + 104. Let q = l - -22. Is q*1*(2 + (-64)\/6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 33*b - 184. Let w be k(14). Solve 78*i + 5*f - 19 = w*i, -3*f + 9 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**3\/3 + s**2 + 2*s - 3. Let l(z) = -3*z**2 - 7*z - 7. Let g(h) = -2*l(h) - 7*m(h). Let a(v) = 3*v**2. Give g(a(b)).\nAnswer: -9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 30 + -16. Suppose g = p + p. Suppose p + 9 = o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 - 2*x + 4. Let t be s(-3). Let u = 1 - 1. Suppose 7 = 4*y + 2*p + 15, 0 = -4*y + 5*p + 6. Put u, t, y in decreasing order.\nAnswer: t, u, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 13\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**(-2\/35))**(29\/3)\/(t\/t**(2\/15))**(-26) assuming t is positive.\nAnswer: t**(3439\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -8 + 14 + -3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 700 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 960966.\nAnswer: 2, 3, 197, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (-4 - (-15 - -4)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-240)\/8)\/((-9)\/(-60)). What is w rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1729709*u**3 + 488399*u**2?\nAnswer: -10378254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 426*n**3 + 399278*n**2*x - 738645617*n*x wrt n.\nAnswer: 2556*n + 798556*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 98805 = -72795. Round w to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*l**2 + 159206915*l - 63682770.\nAnswer: 5*(l + 6368277)*(5*l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -179*p = 1438 - 3228 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -1\/6*p**4 + 0 + 3*p + 0*p**2 + 0*p**3. Let z(s) = -7*s**2. Give z(h(f)).\nAnswer: -28*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (421 - 65)*76\/304?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**2\/9 + 64*l\/9 + 62\/9 = 0 for l.\nAnswer: -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*l + 5045 = c, 2*l - 5*c - 3352 = 0. Suppose -4*z = -5*v + 2183, -4*z - 5*v - l = -z. Is 3\/(1 + 0) + z\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/(-2) - 6\/1. Let d = q - -10. Suppose 2*y + 1 = -d. Put 3, y, 2 in decreasing order.\nAnswer: 3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2091 = -i - 2*x, -2*x + 1107 = 4*i - 7281. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 6*v + 91. What is n(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*s**2 + 2*s**3 - 10*s**2 - 2*s)*(-1 - 4 + 2) + 0 + s**3 + 0.\nAnswer: -5*s**3 + 6*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -4, 3\/4, -1111, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*u**3 - 732*u**2 + 2596*u = 0. What is u?\nAnswer: -11, 0, 59\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ad1 (base 16) in base 7?\nAnswer: 11034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -114 + 200. Is 17 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5)**(-42)*((u*u**7)\/u)\/u*u**(-5) assuming u is positive.\nAnswer: u**(-209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooun when four letters picked without replacement from ncoccaoouoa?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:51 PM?\nAnswer: 2:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*-1*-3*34\/(-867). What is the closest to c in 0, 2, -69?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/1)\/((9\/18)\/(2\/(-12)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 2*l**3 + 132*l**2 - 3414*l - 15640 = 0.\nAnswer: -85, -4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 210\/(-98) + 1\/21*3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -2*f**2 + 78*f + 1617. Give g(-16).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -51 + 57. Suppose r*n + 8603 = -5023. Let j = -1504 - n. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1\/16)*p)\/p*p*p)\/(p*(((p**(-9)\/p)\/p*p)\/p)\/p))**(1\/22)*(p**(-2))**(-49)*p\/(p**(-5)*p)*p**(-7) assuming p is positive.\nAnswer: p**(33999\/352)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8183, 8186, 8189, 8192?\nAnswer: 8195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220221020000200 - 11?\nAnswer: 220221020000112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.45 minus 88?\nAnswer: -88.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - (1 - (-1 + -8 + 3)) - -9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 9 (b) -653 (c) 0.3 (d) -2 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63.7 - 134.6. Let a = 74 + c. Let b = 0.1 - a. Which is bigger: b or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 203926795?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 727.08 smaller than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 76421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20413 (base 6) to base 16.\nAnswer: -ab9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4432 divided by -41172?\nAnswer: -1108\/10293","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 10:00 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express w - 322 + 2*w**2 + 318 - 5*w as u*w + a*w**2 + y and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 117\/5 + -23. Which is the third biggest value? (a) 0.1 (b) n (c) -1\/3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w*w\/(w*w**13)*w*w)))**(6\/23)\/(w*w**11)**(-36))**48 assuming w is positive.\nAnswer: w**(474048\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 36*a**4 - 340*a**3 + 1784*a**2 - 2144*a - 4320. Let i(w) = 7*w**4 - 68*w**3 + 357*w**2 - 429*w - 864. Let v(t) = -16*i(t) + 3*q(t). Solve v(s) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*z**3 - 775 - 65*z**3 - 386 - 272.\nAnswer: -87*z**3 - 1433","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-32)\/(-14) - 2\/7. Let c = -5 - -5. Solve -3*q + b + 7 = c for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1765*l + 744*l + 11231 = 0 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. What are the prime factors of (r\/3)\/(3\/54)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3 - 7 = 0. Let n = w + 18. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2180 + -1445. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 25 = -2*r + 20, -r + 5 = -3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 4 = 2*x. Let j(h) = h. What is j(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/24822 and 76\/1799595.\nAnswer: 3599190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -3*j**3 + 3*j**2 - 3. Let u be m(-1). Suppose 0 = u*f + 19 - 16, -5*v + 13 = -3*f. Solve -v + 1 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148351160 a multiple of 5231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -152\/3 + 1\/3*u**2 - 34\/3*u.\nAnswer: (u - 38)*(u + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 172, -4 in descending order.\nAnswer: 172, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127530760269*p + 42*p**2 + 127530760269*p.\nAnswer: 42*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, 141 in descending order.\nAnswer: 141, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1548546 and 1464.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from ttn.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 108 + 107 - 214. Let k(n) = 2*n**2 + 4. Let b be ((-2)\/3)\/(6\/9). Determine b*k(o) + 2*u(o).\nAnswer: -2*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozdowwk. Give prob of picking 1 w and 1 k.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/2 - 0\/(3 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i**3 - 90*i**2 + 935*i + 118. Calculate the least common multiple of 3305 and t(78).\nAnswer: 26440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 55*a + 551*a - 11560 - 2378 for a.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p - 17. Let o be r(15). Let m(l) = l**3 + 3*l**2 - 3. Let u be m(o). Which is the closest to u? (a) 3 (b) -2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12494\/69 + 541\/3. Is j < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y**2 - 7*y - 232. What is the hundreds digit of o(44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 3*q**2 + 233*q + 1228. Let g be z(-72). Solve b - 3*r - 1 = r, g*r + 8 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 80 = -640. Suppose 0 = d - 49 - z. List the prime factors of d.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s + 2. Let h be n(8). Suppose 4*g + h = 2*v - 12, 2*v = -5*g + 28. Calculate the remainder when v is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43537 = 53*g + 46982 for g.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 142 = -34. Does 27 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 4, t: 1, k: 2, r: 3, j: 9}. Give prob of sequence knk.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12867 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216, -964, -2260, -4146, -6664, -9856?\nAnswer: -13764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 132 - 61. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k**2 + 2*k**2 - 3*k**2)*(-4*k - 4*k + 2*k)*(-2 - 2 + 2).\nAnswer: 36*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -12, 63, 206, 447, 816, 1343, 2058?\n\"Answer: 5*v**3 + 4*v**2 + 28*v - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 40.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4674584 and 2354.\nAnswer: 5501985368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*j**2*t**3 + 257*j**2*t**2 - 4829*j**2*t - 2*j**2 + 14*j*t**3 - j*t**2 + 10673*t**3 wrt j?\nAnswer: 4*t**3 + 514*t**2 - 9658*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2376, -2315, -2252, -2187, -2120?\nAnswer: -2051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444 = 9*h - 3*h. Let k = h - 71. Is k at least as big as 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of -z**5\/10 + z**4\/12 - z**3\/6 + z**2 - 5*z. Suppose -2 = -3*h + 4*u, -h + 1 - 3 = -4*u. Calculate b(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 187*o + o**2 + 184*o - 381*o. Let w be p(10). Solve w = -2*l + 3 - 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -1113 - 2579. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 + 431*b**2\/3 - 33304*b\/3 + 239108.\nAnswer: -(b - 339)*(b - 46)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnbed. Give prob of sequence bd.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, c: 1, g: 1, k: 1, t: 1, a: 2}. What is prob of sequence gaek?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 4. Let d(r) = -3*r - 18. Determine -4*d(p) - 15*s(p).\nAnswer: -3*p + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (33566\/520 - 62)\/(2\/8)*-5.\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 5:56 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2041440222 + -11?\nAnswer: 2041440211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/6 - 5*u**2\/6 - 4*u\/3 + 8 = 0. Calculate u.\nAnswer: -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -53?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.8575742nm?\nAnswer: 0.00000008575742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 626003 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 11:48 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*o**2 + o**4 + 88*o + 85*o - 171*o + 3 to k + x*o**4 + n*o + q*o**3 + g*o**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 214*y - 14 = 211*y + 2*j, -5*y = -4*j - 24. Solve -y*o = o + 10, 2*d = 5*o + 6 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (46\/(-10))\/(19\/(-95))?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -101*f + 0 - 7 + 7.\nAnswer: -101*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 637 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 4*f - 1\/2*f**2 + 7. Determine b(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -31*l**8\/1680 - 4*l**4\/3 + 35*l**3\/6 - 18*l. Let m(z) be the second derivative of w(z). Differentiate m(k) wrt k.\nAnswer: -124*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 t when two letters picked without replacement from {t: 1, j: 1, k: 1, d: 1, s: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 - 13*f + 7. Let u(n) = -n**3 - 10*n**2 - 9*n + 13. Let b be u(-9). What is the lowest common multiple of s(b) and 9?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 83*g - 3*g**3 + 4*g**3 + 0*g**3 - 1113*g + 5549*g**2 - 5552*g**2 wrt g.\nAnswer: 6*g - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = 5*r + 35, 3*c - 2*r - 65 = 3*r. Let m = 34 - c. Calculate the remainder when 36 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -17\/217198?\nAnswer: -17\/217198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of -c**8\/84 + 2*c**7\/35 - c**6\/15 + 11*c**2. Factor s(l).\nAnswer: -4*l**3*(l - 2)*(l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 82\/10 - 7\/35. Let r = j - -6. Let l = r + -7. What is the remainder when 31 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 329\/(-1470) + -9 + (-330)\/(-36). Which is the biggest value? (a) h (b) -4 (c) -2\/5 (d) 4\/5 (e) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 5*v = -195, 5*n - 179 = 2*v + v. Let k = n + -22. Solve k + 5 = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 635\/4 - (-3)\/60*5. Let d = 282 - v. Is 45 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 9, g: 3}. What is prob of sequence gz?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 4*w - 10. Are w and -8\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/3)\/y*y)**(-2\/11)\/(y\/y**8*y*y*y*y**(-4\/3)*y*y) assuming y is positive.\nAnswer: y**(36\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/5, -3, -0.2, -5\/64, 0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100117.\nAnswer: 53, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + k - 3*k + 0*k. Let s(a) be the third derivative of -a**4\/8 + 2*a**2. Calculate s(f(h)).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - l + 16, -b + 5*b = 2*l + 46. Let g = 4 - 4. What is the nearest to -1 in b, 4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 1. Suppose 5*w - 8*f + 5 = 0, -296*w = -291*w + 5*f + 5. Let g(p) = 5*p - 9. Determine w*g(v) + 3*d(v).\nAnswer: -2*v + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1631 and 6.\nAnswer: 9786","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*u - 100*u + 115368 = 0. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -4620*t + 2. Let b(h) = 1. Let c(w) = 2*b(w) + l(w). Let u be c(-2). What is the hundreds digit of u\/36 - (-8)\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 325*i - 224*i - 2 + 577*i + 85*i.\nAnswer: 763*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j - 18. Determine v(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3173 = -465*c + 15263 for c.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9339.\nAnswer: 3, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7*(-21)\/49*(-8)\/3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 6) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 9:40 PM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 25\/4 of a millennium?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*p**2 + 72*p - 71*p - 2 + 1 to f + w*p**2 + n*p and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, -15, -43, -85, -141, -211?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/((-42)\/(-56)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/20 + 6\/4. Let s(q) = 23*q - q**2 - 4*q**3 + a*q**2 - 25*q. Let o(m) = 21*m**3 - 5*m**2 + 11*m. Give 2*o(b) + 11*s(b).\nAnswer: -2*b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -329795 + 258889129\/785. Let p = 20243\/4710 + n. Calculate the common denominator of 61\/177 and p.\nAnswer: 1770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1 and 125059566613.\nAnswer: 125059566612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-45)\/(-102))\/5*4\/(-3)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -280.62 and -52.\nAnswer: -332.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q + 11 - 41. Calculate the lowest common multiple of (3\/(-6))\/((-2)\/24) and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12103 - -23966. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 5*t - t = 75, 133 = -5*p + 4*t. Let m = 59\/2 + p. Suppose 0 = 5*i - 8 - 2. Which is smaller: i or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**4 - 1516*j**3 - 274144*j**2 + 1120960*j = 0. Calculate j.\nAnswer: -452, -310, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491586 is divided by 987.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -7*c**2 - 2. Determine s(-2).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 791.089173 milliseconds?\nAnswer: 0.0000013080178125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-16)\/(o**27*o*o)*(o**15)**(-3) assuming o is positive.\nAnswer: o**(-90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9193738?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 2*u**2 - 76*u + 722 = 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2 + sqrt(1539))**2 - (sqrt(304)*1 - sqrt(19))*5.\nAnswer: 39*sqrt(19) + 1548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 574, 1127, 1658, 2155, 2606?\n\"Answer: -2*h**3 + h**2 + 564*h + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -3*z**2 + 61*z - 649. Calculate d(12).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-251*z - 288*z + 645*z)*(-2 - 1319*z + 163*z**2 - 1315*z + 2634*z) in the form r + s*z**3 + m*z + k*z**2 and give s.\nAnswer: 17278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -7187233052 and -0.1?\nAnswer: 7187233051.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71969 is divided by 4891.\nAnswer: 3495","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 134343 (base 5) to base 8\nAnswer: 12736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 5*y + 2*y)*(-2*y**2 + 3*y**2 + y**2)*(5*y**2 - 4*y + 4*y).\nAnswer: -20*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12322 (base 4) in base 5?\nAnswer: 3232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/9, -1\/3815, -878 in ascending order.\nAnswer: -878, -2\/9, -1\/3815, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -34*f + 16. List the prime factors of g(-2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32647 >= -106?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 2. Which is the nearest to 0? (a) -2\/3 (b) d (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/15))**1 assuming y is positive.\nAnswer: y**(13\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - -2. Calculate the greatest common factor of o and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -181441 or -181445?\nAnswer: -181441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 414 and 1725414.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 - 9*q - 2. Let f be j(8). Let n = f - -14. Solve -8 = -3*a - 5*y + 2, -5 = n*a + 3*y for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*a - 83871000 = 48*a. What is a rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1240, -7613, -24236, -56233, -108728?\n\"Answer: -854*g**3 - g**2 - 392*g + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 54 + 200?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 10*n**2 + 6*n + 44. Suppose -y + 17 = 2*z, 0 = -12*z + 7*z + 15. Calculate h(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14560 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 116*u**2 - 5567*u - 58. Determine x(48).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -9*(3 + 34\/(-6)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5 = -5*b - 9, -5*a = -20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/580 and -91\/464.\nAnswer: 2320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 + 5*c - 9. Let z be l(4). Let x(b) be the second derivative of 1\/12*b**4 - 3*b - 3\/2*b**2 + 0 + b**3. Determine x(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 16 = 4*p. Let w be 286\/(-1 + (-4)\/p - -5). Suppose -16*b + 17*b = w. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.333 and 4661361688.14.\nAnswer: 4661361687.807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (7 - -1) + 68\/(-17). Solve 0 = 4*d - 2*d - 4, 2*x - p*d = -12 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 683506 to the nearest integer?\nAnswer: 827","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 298840123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*n**2 + 2*f**2*n - 22175*f*n**4 - n**3 - 37198 wrt n.\nAnswer: 2*f**2 - 266100*f*n**2 - 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -38481*m - 2667. Let j(a) = -260*a - 18. Give -889*j(t) + 6*n(t).\nAnswer: 254*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 101 (b) 0.056 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**0\/o)**34\/((o**(-3)*o)\/o*o\/(((o**(2\/13)*o)\/o)\/o)*o))\/((o*o**(2\/3))\/o*o*o**2*(o*o*o**4\/o)\/(o\/(o**(-1\/9)\/o))) assuming o is positive.\nAnswer: o**(-4727\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-59*4\/16*(-16)\/6)\/(594\/(-891))\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 c, and 1 e when four letters picked without replacement from euecuneeunnenuue.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -142203 bigger than -142091?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**4*v)*v*v)*v**(-10))\/(v**5*v**7*v) assuming v is positive.\nAnswer: v**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 23. Let q(y) = 10*y - 15. Let v(l) = -2*l**2 - 33*l + 26. What is the remainder when v(-12) is divided by q(d)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1698 is divided by 59?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - -1) + 1 + -1. Suppose -3*f = b*f - 335. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h = 4*y - 2*y + 1586, 0 = 2*h + 2*y - 394. What is the remainder when h is divided by 71?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b - 1413 - 1417 - 7*b**2 + 2825 - b**3. What is c(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*t - 75*t - 424 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*a**2*c + 34*a + 42*c wrt a?\nAnswer: -4*a*c + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/15 - 9\/(-15). Let r be 2\/2*-20*k. Let v = r - -96. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*b**5*c**3 + 29*b**3*c**3 - b*c**2 + 205*c**3 wrt b?\nAnswer: 60*b**3*c**3 + 174*b*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.07 + 5.07. Let v = g - 4.9. Let x(z) = 2*z + 1. Let i be x(-2). What is the second biggest value in -0.3, i, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-129285)\/(-208))\/85\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-5 + 5 - 2)) + (13 - 3)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3959554 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - 2. What is the remainder when 353 is divided by o(6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 958*z - 6. Let q be u(1). Suppose -6*y = -2*y - q. List the prime factors of y.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 0, -21, -42?\n\"Answer: -21*y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21533 and 3883?\nAnswer: 236863","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101030311 - -10?\nAnswer: -101030301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 285319298 by -11.\nAnswer: -25938118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5488?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -3529*o - 24815. Determine q(-7).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100 + -10001101100?\nAnswer: -10001111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 58970*d**2*g**3 - 6*d*g**2 - 76*g**3 wrt d?\nAnswer: 117940*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 2)*(-7*p + 11*p - 3 - p) - 2*p + 3*p - 3*p)*(-10 + 4 + 13) + 0*p - 2*p + 4*p.\nAnswer: -54*p + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10101 (base 3) to base 4.\nAnswer: -1123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nssjnnjnnnnn. Give prob of picking 2 n, 1 s, and 1 j.\nAnswer: 112\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 5*f**3\/3 - 13. Let o(w) be the first derivative of w**2\/2 + 1. Give a(o(m)).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (30 + (-20 - 9) + 16)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2494 - -2630. Solve d = -v + 140 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-12)\/(-7)*21\/6. Suppose -2*f + h + 3*h = -r, 5*f - 20 = 5*h. Suppose -2*t + f*t - 3*p = 72, 3*t - 64 = -p. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -219*f + 518 - 2270 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and (0 + -21)\/(-6 + 3 + 0)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -695, -631, -525, -377, -187, 45?\n\"Answer: 21*u**2 + u - 717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247, 129, -67, -341, -693?\nAnswer: -1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - -21. Suppose 15 = 3*a - i*a. Which is smaller: a or -14\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*l = 23 - 23. Let c = 11 + -5. Suppose 13 = -c*f + 1. Sort f, l, 6.\nAnswer: f, l, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) -1.9 (c) 62\/21 (d) -0.03 (e) 3 (f) -32 (g) 0.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + 11*s - 3*s - 7*s - 2*s - 18*s + (-6*s + 4*s + 0*s)*(0 + 6 - 4))*(2 - 2 - 6) to a*s + i and give a.\nAnswer: 132","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j - 9. Let p(x) = -x**3 + x**2 + 6. Let k be p(0). Let v be g(k). Let t = v - 12. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 590916 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 626 in -3\/2, 0.27, -0.5?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 270994*f*v**3 + f*v**2 + 68*f + 40*v**2 wrt v?\nAnswer: 1625964*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-4*(5 + (-1 + -6*-2*sqrt(833) + 0)**2).\nAnswer: -2016*sqrt(17) + 1439496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cyvwyvywvvyc. Give prob of sequence ywwv.\nAnswer: 4\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u**(-11))\/u)\/u*u)**(2\/7))**(12\/19) assuming u is positive.\nAnswer: u**(-264\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2498436 + 5*o + 2498436.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -76020 + 38431 - 3*v + 37972 + 575*v**5 wrt v.\nAnswer: 11500*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10248914 and 1467725.\nAnswer: 1793559950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/4875 and 83\/150?\nAnswer: 9750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*j + 36*j = 380*j + 30771 - 7955 for j.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32819*w + 32821*w - 329 - 65634*w to r*w + m and give m.\nAnswer: -329","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 81526.03 millilitres?\nAnswer: 81.52603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 134911 (base 11) to base 7\nAnswer: 1540216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -263 divided by -27414\nAnswer: 263\/27414","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 6 = 3*k. Suppose 0 = -3*x + c + 8, -3*c + 7 + k = 2*x. Suppose 4*y - 3*g - 48 = 0, -5*y - x*g = -7*g - 59. Does 3 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37021799 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1100*j - 6600. Determine r(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v**4)*v)\/v*v)**48\/((v**(3\/5)\/v)\/v*v*v**20\/v) assuming v is positive.\nAnswer: v**(-573\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -481*j**2 + 12*j + 19. Let a(u) = -961*u**2 + 25*u + 39. Let f(w) = 3*a(w) - 5*h(w). Let b be f(22). Round b to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -12*(-9)\/(-12)*15. Is (-2 - 57\/(-27)) + (-3765)\/p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/4 - 1\/(-4). Find the third derivative of -3*a**3 + 2*a**3 + a**n + a**2 + 5*a**6 wrt a.\nAnswer: 600*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c - 51. Let x be a(24). Let m(f) = -148*f - 46. What are the prime factors of m(x)?\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 5, 10532 = -13*f + 18*f + 2*u. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000011225 rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 306.242 days in nanoseconds?\nAnswer: 26459308800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + a + 5. Let k be u(4). Suppose -4*t + 20 = t - 4*l, 0 = 5*t - 3*l - k. Suppose -z - 13 = -3*r, r = -5*z + 7 + t. Solve x + 3 = z for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 499*t**3 + 459*t**3 + 18*t**2 - 874*t**3 as d + i*t**3 + g*t + h*t**2 and give i.\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -2*v + 3*k, -4*v + 22*k - 26*k + 4 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*b**3 + 75048 - 42833 - 32215.\nAnswer: -16*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5575 = 5*c - 2*q, 20*q - 25*q = 25. What are the prime factors of c?\nAnswer: 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2. Suppose 2*a - 10 = 7*a - 5*t, 2*t = -3*a + 14. Let g(y) = 330 + 12*y**a - 330. Calculate s(g(j)).\nAnswer: 432*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 2.366, 3\/2.\nAnswer: 0.2, 3\/2, 2.366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -4915 and -4939 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g = f + 19, -2*g + 4*f = -34. Is 5830\/70 - 2\/g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 393*b + 4 + 2033*b to f*b + a and give f.\nAnswer: 2426","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 512 is divided by 170.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -363, -697, -1003, -1281?\nAnswer: -1531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -56 + -1166333?\nAnswer: -1166422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (132\/15 - 4) + 3\/15. Suppose -u*p - 7 = -7. Solve p = -5*v - 14 + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262878401?\nAnswer: 271, 970031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1354464220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105*i = 103*i + 5*p - 18, -4*i - 2*p = 12 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 85*v - 74. Let r be w(2). Suppose -o - r = -393. What is o rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 904371*p - 145. Let l be c(-5). Round l to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 4*n + 45 = 0, k + 11*n - 7*n = 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8 - (18 - 9) - (1 + -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*a - 3 = 0, 0*g - 4*g + 5*a = -12. Suppose -1 - g = -c. Find the second derivative of -c*y**5 + 7*y**5 + 0*y - 7*y wrt y.\nAnswer: 60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*j**2 + 1\/4*j + 1\/2.\nAnswer: -(j - 2)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 515 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v. Let x(n) = n**2 - 7*n + 7. Let y be x(7). Is b(y) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13012, -12766, -12356, -11782, -11044?\nAnswer: -10142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, 6, -14 in increasing order.\nAnswer: -48, -14, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10225225511 - 2?\nAnswer: -10225225513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 + (370\/(-30) - -5) + -2)*198\/385?\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*f**3 + 3*f**3 + 13*f**3 - 3*f**3 - 22*f**3.\nAnswer: 7*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32472153?\nAnswer: 3, 7, 67, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.00231 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, 5, 28, -5, -199 in descending order.\nAnswer: 28, 5, -5, -45, -199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 625, 628, 635, 646, 661, 680, 703?\n\"Answer: 2*r**2 - 3*r + 626","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2710?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -190 times 87.9\nAnswer: -16701","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -2082 (c) 0.5 (d) -2\/7 (e) -485\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 181*j - 139*j - 699678. What are the prime factors of j?\nAnswer: 3, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -46?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**3 + 4*r**2 - 2*r. Let c(b) = -4*b**2 + 7. Let w(j) = -3*j**3 + 15*j**2 + 2*j - 35. Let g(y) = 5*c(y) + w(y). Determine 5*g(l) + 6*q(l).\nAnswer: -3*l**3 - l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 791.16 + -4.16. Let j = v - 787. Let c = -0.04 + -0.26. What is the nearest to j in 4, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 761*i - 1801. Determine r(3).\nAnswer: 482","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*a**2 - 3\/2 - 2*a.\nAnswer: -(2*a + 3)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 756032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m**3 - m**3 + 2*m**3)*(-813*m - 573*m + 429*m)*(0 - 3*m + 2*m + 3)*(0 - 2 + 0)*(3 - 4 + 2).\nAnswer: -3828*m**5 + 11484*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1916 to one decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -375 (b) 36 (c) -2\/3 (d) 2 (e) 0 (f) 144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*11.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -86, -171, -256, -341, -426?\n\"Answer: -85*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2483?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 4716 = 5*b, 4*b - 9432 = -2*f + 14*b. Round f to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdodho. Give prob of sequence hdxd.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 219858878 + 130\nAnswer: 219859008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -95*i + 89*i + 24. Solve -t = -o - 10, -2 - 3 = -i*o - 5*t for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3780 and 489132.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n - 2*z + 10, 3*n + 12 + 28 = -5*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -4. Let t = x + -1.3. Which is the third biggest value? (a) 3 (b) 2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -254477\/1689 - -1\/1689. Which is the biggest value? (a) f (b) 0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*o**2 + 38 - 6 + 10*o**4 - 31 + (-3*o - 3*o**2 + 3*o)*(-3*o**2 + 4*o**2 - 2*o**2) - 3*o**4 + 3*o**4 + o**4.\nAnswer: 14*o**4 - 19*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -0*d. Suppose -c + 3*c = d. Suppose -h - 4*h = c. Solve h = -4*o - o + 10 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003317 rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 78 = 4*l, -4*t = -32*l + 27*l - 98 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = r - 10, 4*s + s - 3*r - 40 = 0. Suppose -3*g + 336 = 3*u, -2*g = 2*g + s*u - 450. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b + 24 = 2*a, 4*b - 5*a + 1402489 = 1402471 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u + u - 6*u - 10*u in the form p*u + x and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - 234b?\nAnswer: -2345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 117761 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 - -56. Let j = r - 40.2. What is j rounded to 2 dps?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37 + -15. Let h(b) be the third derivative of b**5\/5 - 59*b**4\/24 + b**3 + 2*b**2 + 141*b. Let q be h(5). What is the greatest common factor of l and q?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + 3\/3 - -7. Let b = 17 - 12. Let x = m - b. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30302 and 33899?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -677*v + 27*v**2 + 677*v.\nAnswer: 27*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 742597 is divided by 30941.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -37 + 39. Suppose 5*r = -v*f + 7, 3*r - r = 3*f + 18. Calculate the common denominator of (r*4\/144)\/(2\/(-27)) and 7\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**17)**(3\/16) assuming d is positive.\nAnswer: d**(51\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -187 - -10.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231 is divided by -14 + (11 - -4) + (0 - -5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 707?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -45 <= -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/8)\/((-15)\/5))\/((-29)\/116).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 2\/5, -1, 22.2, -0.3, 384.88?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-338)\/(-163423)*((-35)\/(-40) - (-1)\/2) and -57\/14.\nAnswer: 27076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 17*v**2 - 1. Let i be g(1). Solve -i = k + 3*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 859, 861, 863, 865, 867, 869?\n\"Answer: 2*u + 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -2. Let y be (-22)\/u + (-2 - 1). Which is greater: 2 or y?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160 - -274. Suppose -y = -3*w - 102. What is the remainder when 15 is divided by w\/14 - 975\/(-91)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + -3*(sqrt(272) + sqrt(272)*-1) + (4*(sqrt(272) + sqrt(272) + sqrt(272)*2) - (-3 + (sqrt(272) + sqrt(272)*-1 - sqrt(272))))**2)*-1*-3.\nAnswer: 1224*sqrt(17) + 235851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + ((sqrt(1573) + -1)*-6 - sqrt(1573)) - (4 + 0 + sqrt(1573)))**2 - (0 + (-2 + sqrt(325))*1)**2.\nAnswer: -288*sqrt(13) + 76752","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433*j + 430*j - 19 = 7*g, 5*g - 5*j - 15 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1898554 is divided by 2172.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 77271? (a) 0.4 (b) -1\/10 (c) 3 (d) 1\/8 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 0 + 6 - w - 1 + 0. Let n be (3 - 40\/15)*18. Let y be o(n). Which is the second biggest value? (a) -9 (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 + 3*u. Let w be j(0). Suppose -5*a - 4*k - 2 = 0, w = -0*a - 4*a + 5*k + 23. Solve -a*h = -8, h - 7 = -t - 3 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 79a?\nAnswer: 7a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, 15, 59, 121, 201, 299?\n\"Answer: 9*r**2 - r - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -277, 1, -3\/7 in ascending order.\nAnswer: -277, -3, -2, -3\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*-2 - sqrt(180) - sqrt(180))*-6 + sqrt(180) + -5 + 2*(3 + sqrt(180) + 1))**2*-5.\nAnswer: -656145 - 4860*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of 5503*o**2 + 1623*o + 5634. What is the first derivative of d(k) wrt k?\nAnswer: 11006","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150 = -0*c - 5*c. Is c a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538601 + 1887582 = u. Suppose 4*b = -13 + 1, -2*b = -2*o + 7842044. Let k = o + u. Round k to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29963, -29945, -29915, -29873, -29819, -29753, -29675?\n\"Answer: 6*c**2 - 29969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18326 is divided by 131.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 62*u. Let s(i) = 7*i**2. Determine s(c(l)).\nAnswer: 26908*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 1 - (-16 + 18).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -342.5897 to one decimal place.\nAnswer: -342.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30427*g**2 - 20631*g?\nAnswer: 60854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11565 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3093997*y**2 - 5*y + 3. Let f be l(-2). Let s = f + -676001. Round s to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (69 - 61)*(310\/104 + -3)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from astatzzaa. What is prob of picking 1 s, 2 z, and 1 t?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7091?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 349 + -344. Let z(j) = -22*j - 1. Let m be z(-1). Let v be m\/(-2)*(-8)\/3. Solve 25 = -u - r*g, -3*u - 3*g - v = -1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that n**2\/6 - 1556*n + 3631704 = 0.\nAnswer: 4668","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100) - (sqrt(1100) + 0 + sqrt(1100)))*-4 + (sqrt(704) + (-4 + sqrt(704) + 0 - sqrt(704)) - sqrt(704))**2.\nAnswer: 16 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-1 + (2 - 4)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**3)\/j**8*(j*j\/(j\/j**(1\/2)))**(-25) assuming j is positive.\nAnswer: j**(-95\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 133363 divided by -1.\nAnswer: -133363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 634 a factor of 5801734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyy when three letters picked without replacement from yyhyyh.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (366\/8)\/((-33)\/88). Let t = -71 - o. What is the greatest common divisor of 34 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6396*z - 58671 + 19184 = 7269*z + 19004 for z.\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of g**7\/315 + g**6\/45 + 2*g**5\/45 + g**2 - 4*g. Let v(z) be the first derivative of u(z). Solve v(p) = 0 for p.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/5 (b) -0.1 (c) 2\/13 (d) 0 (e) 47\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 11. Suppose -4*s = -2*t + 7*t - 3, -4*t = 2*s. Which is greater: l or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 25084678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -207\/8 + 2313\/88. Let y = -1076981\/222060 + -1\/22206. Calculate the common denominator of g and y.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 235, 236, 237?\n\"Answer: t + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 10*w**2 + 11*w + 5. Let m(h) = 3*h + 33. Let k(b) = -b - 1. Let g(u) = -4*k(u) - m(u). Let f be g(25). What is the units digit of t(f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*((u*u**2*u)\/u)\/u)\/(u\/(u\/(u\/(u\/((u*(u\/(u\/((((u*u**(-1\/46))\/u)\/u)\/u*u)))\/u)\/u)))*u)) assuming u is positive.\nAnswer: u**(277\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)*p**(-8)*(p*p**(-2\/5))**47 assuming p is positive.\nAnswer: p**(96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 - 3 - 2 - -33. Let z(d) = -d**3 + 19*d**2 + 21*d - 15. Let k be z(20). Suppose r - o = 3*h, -k*r + 2*h - 114 = -10*r. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26023321 minus -0.22?\nAnswer: -26023320.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from kzktkzttkt.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 15*t**2 + 222*t - 45 = 0.\nAnswer: -15, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -172957 rounded to the nearest one thousand?\nAnswer: -173000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-16)*(35 + -2 + -41). Let x(c) = -9*c - 3. Let n(r) = 3 + 8*r + r + r. Calculate p*n(a) + 6*x(a).\nAnswer: -4*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1848.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(19) + (-4 + 1 + sqrt(19) - sqrt(19)) - (sqrt(190)\/(sqrt(10)*2) + sqrt(19)))*5.\nAnswer: -15 - 5*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(2\/(-7) - 24\/(-56))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 40, 74, 132, 220, 344, 510?\nAnswer: 724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-270)\/(-15))\/(10\/5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 31 + 2*h + 2 - 4*h - 4*h. Calculate r(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 32. 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: Let q(n) = -n**3 + 16*n**2 + 37*n - 10. Let l be q(18). Is 2\/l + 5\/(220\/69113) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12391576.\nAnswer: 2, 1548947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 54, 48, 34, 6, -42, -116?\n\"Answer: -o**3 + 2*o**2 - 5*o + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 - 3*n**2 - 10*n - 2. Let g be w(5). Calculate the remainder when (42\/(-7) - 62)\/g is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 12 = 0, -4*x - 28490*b = -28485*b - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -1 + 236*z**2 - 16 - 13*z - 218*z**2 - z**3. Let c be k(16). Let d = c + -101. List the prime factors of d.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-49013)\/(-56120) + (-4)\/10. Let h = y + -6\/61. Let s = 5 + -5.4. Which is the second smallest value? (a) 3\/4 (b) s (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 5*i, -2*i - 46558 = -2*w - 2*w. Suppose 2*x - 558 = -w. What is the units digit of (-6)\/21 + x\/(-35) + 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -392\/5 - -78. Let f = 1844 + -1841. Let s = 0 + 0.3. What is the third smallest value in s, f, q?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v - 23 = 3*v - 2*l, -4*l = 5*v - 41. Suppose 115 = v*a - 0*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3427? (a) -4 (b) 2 (c) -4\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 153 + 150 + 0*g + g.\nAnswer: g + 320","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 330915189?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 628974\/6723 - 60\/108\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 17389 divided by -3\nAnswer: -17389\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1521847 - -378153. Round j to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/49 (b) -38 (c) -2 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/26)*r)\/r*r\/(r\/r**(-4))*r*r*r*(r*(r\/r**(-2\/13))\/r*r)\/r*r*r\/(r*r**(-5\/7)) assuming r is positive.\nAnswer: r**(529\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-2)*(0 - 4). Let f(c) = c**3 - 4*c + 3. Does 19 divide f(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -701676 divided by -6497.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*7661509.\nAnswer: 38307545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96906070 to the nearest integer?\nAnswer: 9844","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -266*g**2 - 7484*g - 18. What is d(-28)?\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 12072264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2020, 959, -102, -1163, -2224?\n\"Answer: -1061*q + 3081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - 26\/(-6)) + 123\/9 is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-6 - -9) - (-1 + -3 - 0)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/1*0)\/(-1)*352\/(-1056).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 3*d - 4*d)*(1 - 3 + 0) to the form b*d + n and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -2, -4, 4 in descending order.\nAnswer: 4, -2, -4, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = c + 6 - 3, -c = 3*x + 5. Solve -5*l - 15 = 5*g, l + 10 - c = 2*g for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105 = 32*g - 53*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.9 + 1.8. What is the nearest to y in -0.5, -2\/13, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(156)*-5 - sqrt(156) - sqrt(156))\/(sqrt(48)\/sqrt(4)*1).\nAnswer: 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -273, -9\/11, -5, 1\/3, 0.5?\nAnswer: -9\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of -1\/3*v**3 + 0 - 1\/6*v**4 + 0*v + 4*v**2 - 1\/30*v**5. Solve u(a) = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q**3 + q**2 + 32*q + 70. Does 17 divide d(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 126490*o**2 - 126487*o**2 + 0*o**3 - o**4 + o**3 - 10*o - 23 in the form x + v*o**2 + r*o**3 + i*o**4 + y*o and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 0.2, 0, 50.\nAnswer: 0, 0.2, 2\/5, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b + 0 - 6*b**2 - 1\/2*b**5 - 13\/2*b**3 - 3*b**4.\nAnswer: -b*(b + 1)**2*(b + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - x + 3 = 2*b, -4*b - 4*x - 36 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -6, 1\/6, -1\/6.\nAnswer: -6, -0.5, -1\/6, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, w: 8}. What is prob of sequence wwww?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88930*z = -89028*z - 3528 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18700?\nAnswer: 2, 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 3*s + s)*(1 + 3 - 5)*(4 + 3 + 8).\nAnswer: 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153844 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3774 divided by 3?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of 3*b**5\/5 - 13*b**2\/2 + 14*b. What is the derivative of m(c) wrt c?\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2779, 2757, 2721, 2671, 2607, 2529?\nAnswer: 2437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 2697*w - 2698*w - 37, 3*j - 29 = 2*w. Solve 15*g - 10*g = -j for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 8) in base 14?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 6*g + 54. Determine h(-4).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38701947?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79996 = 29*z - 122*z + 239738. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3 + 8*q**2 + 3520*q.\nAnswer: -2*q*(q - 44)*(q + 40)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 8*b - 347. Calculate o(-12).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 7233084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1701634*t**4 + 5*t**3 - 241538*t**2 + 5*t + 2?\nAnswer: -40839216*t + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2949709?\nAnswer: 7, 283, 1489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -8*r - 8. Let g(q) = q + 1. Let x(o) = -14*g(o) - 2*h(o). Let s be x(-5). Sort s, -1, -2.\nAnswer: s, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.4115 + 4693.4115. Let k = v - 4775.58. Round k to the nearest integer.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 95 - 26*s + 55 + 25*s - 94.\nAnswer: -s - 128","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88 + 200*w - 13*w**3 + 88 - 200*w.\nAnswer: -13*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 132736?\nAnswer: 2, 17, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 5. Let g be 0 - c - -3 - 1. What is the second smallest value in 2, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 113357 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 752, 801, 882, 995, 1140, 1317?\n\"Answer: 16*k**2 + k + 735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15 - (-12 + (10 - 3))) + 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 + 21*g**2 - 79*g - 10. Calculate w(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 6*s**3 - 2*s**2 + 2*s - 1. Suppose 6*u - u - 5 = 0. Let k be d(u). What is the second derivative of -4*o**3 - 2*o + k*o - 4*o + 4*o wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 97 - 9*n**3 + 6*n**3 + 9*n**3 + 35*n**3 - 51.\nAnswer: 41*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87*a + 70 = -97*a for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p + 2*p + 0*p)*(1 - 1 + 2*p**2) + 0*p**3 - 3*p**3 + 2*p**3 + (0*p**2 - p**2 + 2*p**2)*(-2*p + 0*p + 4*p) + 25*p**2 + 4*p**3 - 25*p**2.\nAnswer: 9*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of -m**4\/3 + m**2\/2 + 442*m. Let z(a) = 4*a**2 - 1. Calculate 4*v(k) + 3*z(k).\nAnswer: -4*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -2*w - 45 + 43, 36*p = -8*w + 38 + 14 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -0*n + 99. Calculate the remainder when n is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2224429 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-1\/2)\/((b*b**(-9\/5))\/b))\/((b**(-5)*b*b)\/b**(1\/5)) assuming b is positive.\nAnswer: b**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*j - 4*j + 6*j in the form h*j + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 76*x + 481. Determine f(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 0)\/(-2 - 0). Let m(c) = 0 + r + 3*c**2. Let y(d) = -4*d**2 + 3*d. Let w(i) = -5*i**2 + 4*i. Let q(g) = -3*w(g) + 4*y(g). Determine m(q(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**2 - 2*q**3 - 2*q**2 - 2*q**2.\nAnswer: -2*q**3 - 5*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 251960 and 0.6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u + 5. Let n(c) = c - 1. Let g(m) = -5*n(m) - v(m). Let p(f) = f - 1. Let o(y) = 4*y + 3. Let b(s) = -o(s) - 3*p(s). Calculate g(b(h)).\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -v**2 - 498 + 498.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*u**5 - 280*u**3 - 2342*u**2 + 1 wrt u.\nAnswer: 660*u**2 - 1680","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of p**4\/12 - 23*p**3 + 8*p + 28. Factor s(z).\nAnswer: z*(z - 138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 0*y + 0*y**2 - 2\/3*y**3 + 71. Let w(d) be the second derivative of -4*d**4\/3 - d. Give i(w(o)).\nAnswer: -512*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6853881 is divided by 201?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -90*t - 443. Calculate h(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15, -20\/7, -1 in ascending order.\nAnswer: -15, -20\/7, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 6673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20*b**4 - 1193*b**3 + 1063*b**2 - 2*b + 2.\nAnswer: 480*b - 7158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 15003450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y**3 - 254*y - 162*y**2 + 242*y + 162*y**2.\nAnswer: -6*y**3 - 12*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 3453*v**3 + 6*v**2 + 12*v - 641. Let s(m) = -2*m**3 + 2*m**2 + 4*m + 1. Let o(r) = 2*f(r) - 6*s(r). What is the first derivative of o(g) wrt g?\nAnswer: 20754*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2\/19 - 64*g\/19 - 62\/19.\nAnswer: -2*(g + 1)*(g + 31)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 3*v**4\/5 - 435*v**3 - 929001*v**2\/5 + 6646947*v\/5 + 3398490 = 0.\nAnswer: -307, -2, 9, 1025","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 323809\nAnswer: -3\/323809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 + -38 + 20 - 34.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -3*m + 167, -3*g - 105 = 2*m - 4*m. Let d = m + -21. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = x - 12034, v - 2410 = -28*x + 31*x. Suppose i + 2*a = 2271, -5*i + 3*a = -v - 8922. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 695739192390 and -1?\nAnswer: 695739192391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u**3 - 3*u + 5*u**2 + 14*u**3 - 49*u**4 - 1928 + 1930 to the form t + f*u**3 + g*u + b*u**4 + p*u**2 and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*w*y**3 - 298*w*y**2 + 21*w*y - 3*y**3 + 2*y**2 - 2591*y wrt y.\nAnswer: -36*w*y - 596*w - 18*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/161132331 or 0?\nAnswer: -1\/161132331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**2 - a - 1. Let i be (-3)\/((18\/4)\/3). Let g(z) = -125 - 2*z - 118 - 119 + 480 + z**2 - 119. Give i*p(d) + g(d).\nAnswer: -d**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4215, 4242, 4289, 4356, 4443, 4550?\nAnswer: 4677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert ab4b (base 14) to base 7.\nAnswer: 152324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.868088893 rounded to 0 dps?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59103 is divided by 37.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.05 + 0.25. What is the third biggest value in -2, 1, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72.89 rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -58000 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**3 + 7*d**2 + 16*d - 4. Is o(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1120 - -1119.8859. Let z = x + -462.8859. Let q = z - -462.999999162. What is q rounded to seven dps?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 + 16*r**2 - 25*r + 39. Let l(s) = 4*s + 43. Let n be l(-15). What are the prime factors of i(n)?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 1. Let h(z) = 9*z**2 + 3*z + 8. Let o(n) = -h(n) - s(n). Let g(u) = -u - 4. Let b be g(3). Let a(m) = 7*m**2 + 2*m + 5. Give b*a(k) - 5*o(k).\nAnswer: k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d**5 - 125*d**4 + 555*d**3 + 3065*d**2 - 560*d - 2940 = 0. Calculate d.\nAnswer: -3, -1, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1288988 to the nearest integer?\nAnswer: 1135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**2. Let f(l) = 8*l**2 - 42*l**2 + 17*l**2 - 38*l**2. Calculate f(z(s)).\nAnswer: -55*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 34, -3\/13, -1, -33\/8.\nAnswer: -33\/8, -4, -1, -3\/13, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -99*n - 21. Let x(w) = 299*w + 64. Let s(u) = -11*q(u) - 4*x(u). Let z be s(-2). Calculate the greatest common divisor of 21 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17110 and 2465.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30 + 1b?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*k + 2*k - 4*k + (5 + 4 + 9 - 4 - 1 + 3 + (0 + 0 - 1)*(5 + 0 - 4) - 3 - 3 + 4 + 5 + 0 - 3)*(0 + 0 + k) + 3*k + 0*k - 2*k.\nAnswer: 17*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 + 14*b**2 - 14*b + 5. Let q be x(13). Let w = 14 + q. Suppose -2*o = -w - 2. Solve 0 = -c + o*c + 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 20, 1, -4, 163, 77 in decreasing order.\nAnswer: 163, 77, 20, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 9*s + 3. Let j be q(-9). Solve 5*k = f, 2 = 5*k - j for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -3, 2\/3, 2\/11, 22, -2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.157 + 0.967. Let g = -0.23 + k. Round g to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 18, c: 2}. What is prob of picking 1 s and 2 c?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (((-3)\/4)\/(-3))\/(2\/2 + 0). Let a = -0.06 - -2.06. What is the closest to k in 0.1, a, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9092 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 496869695*f**2*w - 3*f*w + 508282*f + 2*w - 1 wrt f?\nAnswer: 993739390*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3\/4)*v**(1\/2))**(2\/79) assuming v is positive.\nAnswer: v**(-1\/158)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -2.2. Let y be 0\/(-4*4\/16). Let u be 76\/(-266)*(y + 1). Which is the nearest to -1? (a) v (b) 0.1 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(2\/9)\/j)\/(j**(2\/15)\/j)*(j\/(j*j**(1\/2)))**(1\/14))**(-44) assuming j is positive.\nAnswer: j**(-14597\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -15. Are u and 50\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -23 and 0.2.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -365c + bc6?\nAnswer: -2766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - n + 1. Let i(j) = 2*j - 7. Let z(f) = 2*i(f) + 2*r(f). Let m be z(-4). Let k(c) = 2*c - 24. Let l be k(m). Solve 5*d = 5 - l for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-8))\/(1\/12)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5736308 is divided by 6461.\nAnswer: 5401","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59601 is divided by 4256?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 7, t: 4}. Give prob of picking 1 m and 2 t.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 117.71?\nAnswer: -114.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 60550 to the nearest one thousand.\nAnswer: 61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174940655.\nAnswer: 5, 34988131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*i - 2 + 7*i**4 - 2*i**2 + 8*i**3 + 17*i**3 - 5*i**4 to the form j*i**4 + s*i + x*i**3 + b + w*i**2 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33.9 + 37. Let z = 20 + -21. Which is the biggest value? (a) u (b) z (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.073 in 3, -3, 0.2, -546\/2843?\nAnswer: -546\/2843","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 671 or 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70613*q**3 + 17668*q**3 + 17682*q**3 + 17694*q**3 + 17688*q**3.\nAnswer: 119*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**3 - 4*y**2 + 2*y - 4. Let a(g) = 3*g - 2*g**3 - 9 + 3*g**3 + 3 + 6*g**2. Let u be a(-5). What is l(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + -1 + (sqrt(42)\/(sqrt(42)\/sqrt(6)))\/(sqrt(50)*2 - sqrt(2)) + 4.\nAnswer: sqrt(3)\/9 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**2 - 12*r. Let b be g(-5). Let t = -8273 - -8306. Differentiate t*n**2 - b*n - 33*n - 28 + 68*n with respect to n.\nAnswer: 66*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 1 p, and 2 l when four letters picked without replacement from {i: 3, p: 1, l: 2, q: 4, f: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6454 and 8932.\nAnswer: 4117652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -14432343 (base 6) to base 2\nAnswer: -1111010100101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 32*d + 93. Let p be r(12). Suppose 3*g = -4*a, 0*a = -3*a - 3*g. Sort a, p, 1, -5 in decreasing order.\nAnswer: 1, a, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32298 to the power of 1\/2, to the nearest integer?\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rxpppbpl. What is prob of sequence rb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 3*g**3 + 12*g**2 - 6*g - 3. What is the remainder when 102 is divided by t(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 14*z + 30 = 0. What is the closest to z in -3, 5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 6749, 6477, 6023, 5387, 4569?\n\"Answer: -91*n**2 + n + 6839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 201880, 201922, 202000, 202120, 202288, 202510, 202792, 203140?\n\"Answer: s**3 + 12*s**2 - s + 201868","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.085 - -1686.\nAnswer: 1686.085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45 (base 8) to base 10.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**2 + 3*h + 10. Let c(q) = 4*q**2 - 4*q - 12. Calculate -2*c(x) - 3*z(x).\nAnswer: x**2 - x - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 2*d**2 + 2*d + 28. Calculate the remainder when a(-5) is divided by 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 6 = k, 1 = 3*i - 4*k + 4. Suppose i*p + 6 = 4*p. Calculate the least common multiple of p and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**2\/2 - 612. Suppose 5*k = 5*r - 15, 2*r - 20 + 8 = -4*k. Suppose r*n = 5*n - 5. Let u(c) = -c. Calculate n*u(h) + 6*y(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/7))**(5\/16))**26*r**(-7)*r*r**(-3)*r*r*r**(-1\/11)*r*r*(r\/(r*r**(-6)))\/r assuming r is positive.\nAnswer: r**(687\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14050, -13441, -12816, -12169, -11494?\n\"Answer: n**3 + 2*n**2 + 596*n - 14649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -7 (b) -729 (c) 0.1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -26, -0.2 in increasing order.\nAnswer: -26, -0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*g + 9, 5*b + 19 = -4*g + 3*g. Let y(o) be the first derivative of o**4\/4 + 2*o**3\/3 - 5*o**2\/2 + 2*o - 173. Give y(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -4*o + 2*p + 2, 0 = -4*o - p - 7 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/35 - 50\/840*1. What is the second biggest value in l, -4, 0.08, 8, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5358234486 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 + 15*x**2 + 23*x - 32. Determine b(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 192808.\nAnswer: 2, 7, 11, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g - 3*g = 3*y + 117, -y + 5*g = 9. Suppose 74 = -2*d + 3*h, 4*d = 3*h - 6*h - 130. Let f = d - y. Which is the nearest to f? (a) 1\/7 (b) 5 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 17 = 5. Suppose 4*q = -0*q + k. Solve -12 = 5*m + q for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*v = 4*d + 16*v - 26, 0 = -4*d - 8*v - 64 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4276, -8549, -12818, -17083?\nAnswer: -21344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, -6, -1, 4, -4 in ascending order.\nAnswer: -6, -4, -1, 4, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -4222 divided by 2?\nAnswer: -2111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 40*(-3 + (-16612)\/(-4)). Round g to the nearest 10000.\nAnswer: 170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122 and 5954698?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w - 4. Let h = -1 - -4. Determine g(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) -5 (c) -19 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*z**3 + 0*z**2 + 0*z**2 + 3*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 2\/9, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5121 divided by 569.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8381 - 8321. Solve o = 2*i + 10*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1176 * 102\nAnswer: 119952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 41 - 39. Suppose -5*w + 16 = c*h - 4*h, -2*h + 24 = 5*w. Find x, given that -33*x - 32*x + 3*x**w + 65*x = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*l + 4 = 1, 4*o - 4*l + 12 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**7\/10080 - o**4\/24 - o**2. Let n(d) be the second derivative of q(d). Find a such that n(a) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyh when three letters picked without replacement from {s: 3, h: 1, y: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-nine halves of a tonne?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8\/(4 - 0) - -29?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 h when three letters picked without replacement from {c: 2, z: 13, h: 5}.\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3411 - -0.1589. What is the nearest to -1\/4 in m, 0.1, -10, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or 7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 80 = -17*x. Let s be 132\/10 - 12*x\/120. Calculate the greatest common divisor of s and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23806551, -23806550, -23806549?\nAnswer: -23806548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 50 = -5*m, 22 = -4*s + 3*s - 2*m. Let q(n) = n**3 + 15*n**2 + 14*n. Let w be q(s). Solve 3*k + k + 8 = w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -217.\nAnswer: -217, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 33810839?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -159\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -731b8 + 1?\nAnswer: -731b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + v + 21 = 0, -u + 3 + 26 = -5*v. Suppose 0 = u*t - 8*t + 16. Suppose 38 = 2*y + 4*r, -t*r = -0*y + y - 21. List the prime factors of y.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 13, c: 5}. Give prob of sequence cmcc.\nAnswer: 13\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -47\/3 - -17. Let s = -8231 - -41152\/5. What is the nearest to 3 in -0.3, s, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fu when two letters picked without replacement from xbxuxqfxx?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -510921 + 9?\nAnswer: -510912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.94 + -0.06. Let w be (0 - (-2)\/17)*-1. Let q = w + 61\/85. What is the second smallest value in q, 1, d?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1070322\/(-64868)*(2\/(-18))\/((6\/4)\/(-3)).\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 6:52 AM?\nAnswer: 1:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -33311 + 8?\nAnswer: -33302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 1 c, 1 s, and 1 a when four letters picked without replacement from {k: 1, z: 1, s: 2, a: 2, c: 1, i: 2}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 270717322 to the power of 1\/3, to the nearest integer?\nAnswer: 647","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 5 + -4 + (-33 - -86)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2048?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 11*y + 30. Let s be j(5). Suppose -5*m + 2214 + 96 = s. List the prime factors of m.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 2*i. Suppose -4*c + 5*j + 17 = 0, 0 = -5*c - 2*j + 12 + 34. Calculate the least common multiple of l(5) and 27\/108 - (-46)\/c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxzxlxzxzkxxzxzklzx. What is prob of picking 2 z?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of 4\/5*p**5 - 8*p + 6*p**2 + 4\/3*p**3 - 19 - 3*p**4. Factor t(j).\nAnswer: 4*(j - 2)*(j - 1)**2*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -67*c**2 + 3*c + 7. Let d be n(6). Is 9 a factor of d\/(-66) + (-2)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2092)\/(-4184)*18*4.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23786, 23741, 23696, 23651, 23606?\nAnswer: 23561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 93, -147, -663, -1443, -2475, -3747?\n\"Answer: 2*y**3 - 150*y**2 + 196*y + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of 0*n**2 + 3*n - 1\/7*n**3 + 3\/28*n**4 - 4. Let q(u) be the first derivative of m(u). Suppose q(g) = 0. Calculate g.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1000, 4, -3 in decreasing order.\nAnswer: 4, -3, -1000","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(0 + -5*(sqrt(605) + -2) + 3 + -1 + sqrt(605)).\nAnswer: -44*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1922982529\/457614741 + -2\/2500627. Let w = -8\/61 - t. Sort -1\/11, w, -0.1, -1.\nAnswer: w, -1, -0.1, -1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1)\/((-4)\/464)*3. Suppose -7*y + 1223 = u. What is the highest common factor of 50 and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13858068 is divided by 6928957?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of -t**6\/120 + 7*t**5\/60 - t**4\/4 - 5*t**3\/6 - 5*t**2. Determine q(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -179\/11*g**2 + 0 + 1\/11*g**3 - 180\/11*g = 0. What is g?\nAnswer: -1, 0, 180","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 1:32 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*-2*sqrt(288)*5)\/(4*(sqrt(900) + -1*sqrt(900)*6)))**2.\nAnswer: 72\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/8 + 3693*g**2\/8 - 1848*g + 3697\/2.\nAnswer: (g - 2)**2*(g + 3697)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1049021 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5*k = -20, 59*k = -x + 55*k + 16. Suppose 3*h + o - 69 = x, o + 2*o + 101 = 5*h. Solve 2*v + 4*p + 4 = 0, 0 = 5*v - 3*p + 1 + h for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 16 = -v, r - 16 = -5*v + 2*r for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1675?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25 + (54\/12)\/(99\/44)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 51654.\nAnswer: 2, 3, 8609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41438329 to the nearest integer?\nAnswer: 6437","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71599*b = 71592*b - 161 for b.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = 4*t - 18000000. What is t rounded to the nearest 1000000?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obbo when four letters picked without replacement from bboofob.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -650605 (base 7) to base 16.\nAnswer: -1b9fa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-7) + (-43968)\/(-168). Suppose f = 25*j - 113. Solve 3*m + 0*m + j = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 31030776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 172017817 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 4*l**2 + 3*l - 1. Let a be t(5). Let g be (6\/12*0)\/(-2). Suppose -3*d + g*d + 9 = 0, -a = -o + 2*d. Is o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (693\/(-22))\/((-3)\/4). Let g be (-2)\/8 - l\/(-40). Which is the third smallest value? (a) -3 (b) -3\/7 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.55 and 14860816320.\nAnswer: 14860816319.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5932 (base 14) in base 4?\nAnswer: 3302220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11578 or 11997?\nAnswer: 11997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + t = 0, 21 = 3*i + 2*t. Suppose -9 = -s - i. Solve -2*j - s*u = 12, -2*u - 4 = -u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45675 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of a*c + 32466525*a + 201*c**4 - 8797*c**2 + 8*c + 5 wrt c?\nAnswer: a + 804*c**3 - 17594*c + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrfhfrmxmrf. What is prob of picking 1 x and 1 m?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 352 and 220.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3731, -3738, -3739, -3728, -3699, -3646, -3563, -3444?\nAnswer: -3283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 197 + -105. Let l be 138\/(-4)*2\/(-3). What is the highest common divisor of l and a?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 5:19 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**2 - 23314748*z - 135894368575876.\nAnswer: -(z + 11657374)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9922, 14523, 19124, 23725?\nAnswer: 28326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -1.3, -3\/5, -5896, 4 in decreasing order.\nAnswer: 4, -3\/5, -1.3, -2, -5, -5896","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -807.91 to zero decimal places.\nAnswer: -808","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccpcpcccccppcccp. Give prob of sequence ccc.\nAnswer: 143\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -270.27347 + 651.\nAnswer: 380.72653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-104 - (-25254)\/244)*-214?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5602751 is divided by 41?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3094 - -1?\nAnswer: -3093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 11482969 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 435, 988, 1541, 2094?\n\"Answer: 553*c - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8111899 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/8 and (9\/(-396))\/(2\/76).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 divided by 49?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 351 = t, 717 = 2*t - 2*b + 7*b. Let g = 452 - t. What is the remainder when g is divided by 28?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 18*o**3 - 6*o**2 + 4*o - 130. Let s(q) = -2*q**3 + q**2 - q - 1. Let r(j) = d(j) + 4*s(j). Find the third derivative of r(a) wrt a.\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122666242.\nAnswer: 2, 19, 61, 52919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**2*z)\/z)\/z)**49\/(z**(-2\/17))**13)**35 assuming z is positive.\nAnswer: z**(30065\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35? (a) -5 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -36375\/11 + 3307. Is -1468 at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i**2 + 19*i**2 - 450 - 552.\nAnswer: 2*i**2 - 1002","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -2*s**3 - 145*s**2 + 232*s + 1251. Determine t(-74).\nAnswer: 511","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/105094 and 73\/76432.\nAnswer: 840752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1193.2 + -1193. Put -29, 0, v, 0.5 in descending order.\nAnswer: 0.5, v, 0, -29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 10*r + 122. What is v(-11)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -11*b**2 + 6*b - 2. Let s(r) = -24*r**2 + 12*r - 4. Let d(w) = 13*n(w) - 6*s(w). Give d(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665724601 to the power of 1\/2, to the nearest integer?\nAnswer: 25802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7165168 grams in milligrams?\nAnswer: 716.5168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 43*d**2 - 155*d - 2194. Calculate f(-43).\nAnswer: 4471","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 1716 = 2*w. Let p be (-54)\/8*(-784)\/42. Let z be (-3)\/(3 + p\/(-39)). What is the highest common factor of z and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207164773?\nAnswer: 283, 773, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -0.2 (b) 1\/10 (c) 1.69 (d) 3 (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.4 - -3. Let l = 516.6 - 513.6. Let z = -0.9 + -0.1. Which is the nearest to l? (a) 4 (b) z (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((64\/12)\/(-4)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(-1 - (-18)\/17). Suppose -2*i + m - 5 = -3*i, 3*i - 5*m = -17. Let w = 0.37 + 1.63. What is the closest to i in o, -2\/3, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*-1*(sqrt(21) - sqrt(42)\/sqrt(2) - sqrt(21)))\/(sqrt(48)*-6 - sqrt(144)\/sqrt(3)).\nAnswer: -3*sqrt(7)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**3 - 11*j**2 - 11*j - 9. Suppose 9*o + o + 100 = 0. Let h be u(o). Let x = 5.1 + -1.1. Which is the biggest value? (a) -3 (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -231, -231, -229, -225, -219, -211?\n\"Answer: x**2 - 3*x - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 9*t. Let v(y) = -2*y + 2*y - 2*y. Suppose -m = m - 48. Determine m*v(j) + 5*n(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2)**(-38)*(u\/(u\/(u**(-1\/14)\/u))*u)\/u**(-2))**(-13) assuming u is positive.\nAnswer: u**(13481\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 40.2100527 to the nearest integer.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206*a**2 - 29 - 430*a**2 - 836*a**2 + 29 to c*a**2 + b + l*a and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3.392 + -1637970730\nAnswer: -1637970726.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*d**5 - 27553*d**4 + 12*d**3 - 3295*d**2 - 208*d wrt d?\nAnswer: 180*d**2 - 661272*d + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 937 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + 28*h**2 + 16*h**2)*((1 - 1 + 2*h)*(-1 + 5 - 2) - h - h + 0*h).\nAnswer: 78*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 90699251?\nAnswer: 90699251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 593792711?\nAnswer: 17, 34928983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -6 - 11) + 3 + 1 + -33?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1081*j**2 + j + 60*j**2 - 12286 - 12303 + 24588.\nAnswer: -1021*j**2 + j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01376154 rounded to four decimal places?\nAnswer: -0.0138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l + 87*l + 68*l - 11*l - 24*l + 46*l.\nAnswer: 162*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 5*a**2 - 5*a + 4. Suppose 41 = 7*c - 169. Suppose 26*k = 21*k - c. What is n(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152 - 0.137\nAnswer: -152.137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15811 - 15490. Which is the smallest value? (a) x (b) -2\/7 (c) 0.15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -108*z**2. Let h(d) = -332*d**2. Calculate h(i(s)).\nAnswer: -3872448*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 54304 divided by 13576?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1762 (b) 0.4 (c) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 696557711?\nAnswer: 17, 101, 405683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 40 * -123637\nAnswer: -4945480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d**2 + d - 1. Let c = 68 + -75. Let r(q) = q**3 + 8*q**2 + 8*q + 6. Let w be r(c). Let s be n(w). Solve -z = -5*f - 8, 9 + 8 = -5*f + s*z for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -3.6. Let m = 41 - 23. Let i = m + -17.9. What is the second smallest value in 2\/5, i, p?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52\/39*(8 + (-1 - -2)) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**3 + 16*p**2 - 158*p + 140 = 0.\nAnswer: -14, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/((-32)\/(-6) + -4). Suppose g - 2*g + 6 = 5*v, -g = x*v - 2. Solve 3*f + 8 = k - v*k, -k = -f + 4 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 6. What is the biggest value in 1, q, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*p - 25*p + 4*p + p - 2*p + 2*p + (0 + 0 + 2*p)*(1 + 0 - 4) + 3*p + p - 2*p)*(-2 - 1 + 1) - 2*p + p - p.\nAnswer: -98*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/45 - (-1 - (-166)\/(-5)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24582 (base 16) to base 4.\nAnswer: 210112002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 5 = -10*j, 2*j = 63*i - 61*i + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 349 a factor of 458022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/(sqrt(44)\/sqrt(11)))\/sqrt(5).\nAnswer: sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**2 + 2*m**2 + 3*m**2 + (-691 + 1429 - 639)*(-4*m**2 - 2*m**2 + 4*m**2).\nAnswer: -197*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 7, i: 3}. Give prob of sequence pipp.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 4 = l + x, 5*l - 4*x + 16 = 0. Suppose 2*y - 3*y = -3, l = -2*i + 4*y - 6. Solve g + i*g = 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -712*x + 32132. Calculate a(45).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.2 (b) -0.5 (c) 2 (d) -26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 360 minutes before 8:58 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1053\/(-21) + (2 + 1)\/21. Let t be r\/80*4\/(-50). Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/30*(-120)\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 513136681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -22, 2, 6\/19, 3, -0.2, 10\/41?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11528?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 8*o + 10. Suppose -2*i = -o*q - i - 21, -3*q - 9 = 3*i. Let g be q*(-1)\/(0 + 4). Let u(d) = 7*d + 1. Give u(g).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 16 = 0, -3*d - f + 13 = 9. Let t = -109.08 - -106. Let k = 0.08 + t. Which is the closest to -0.2? (a) d (b) -0.5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*a = -65*a. Suppose 0 = -j - a - 5, -o + 4*j = -22. Solve -o = -s - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0075117499 to six decimal places.\nAnswer: 0.007512","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + n + 1996, -5*l - 2*n = -0*n + 1997. Let b = l + 635. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1959 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**3 + 3*r**2 - 106*r + 496. Give h(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*m - 16 + 5860*m**2 - 2926*m**2 - 2932*m**2)*(-4 + 4 + 2).\nAnswer: 4*m**2 + 52*m - 32","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6679477?\nAnswer: 7, 31, 30781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 3*l + 18, r + l + 3*l = 18. Let a = -10 + 37. What is the greatest common factor of a and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 - 12*m**2 - 10*m + 16. Let n be k(-11). Suppose n*t = 17 + 13. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (26\/(-4))\/(((-90)\/228)\/(-15)). Let g = -320 - a. Put g, 1\/5, -1\/2 in decreasing order.\nAnswer: 1\/5, -1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (1*(sqrt(7) + -1) - (-4 + sqrt(700) + sqrt(700))**2).\nAnswer: -2821 + 161*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27957 - 27950. Sort -8, 8, q in ascending order.\nAnswer: -8, q, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.776 - 0.58. Round t to 2 decimal places.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/sqrt(192) - -1*sqrt(176))**2 + (sqrt(132)*2*2)\/sqrt(12) + 1.\nAnswer: 4*sqrt(11) + 3195\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 250*t**2 + t + 4. Let f(d) = d**3 - 4*d**2 + 2*d. Let v be f(2). Let c be x(v). Suppose 0 = -6*n + n - c. Round n to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22404 + 4?\nAnswer: 22411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 - 3*d**2 - d + 3. Suppose -5*m + 2*m + m = 0. Let j(p) = -p**3 - p - 3. Let z be j(m). Let f be z\/(-3 - -3 - 1). Determine n(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.17 - -0.06. What is the third biggest value in -1\/6, 5\/3, w?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.50149 months in years?\nAnswer: 2.4584575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12290?\nAnswer: 2, 5, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 107202 and 14714.\nAnswer: 2102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 9:47 PM?\nAnswer: 2:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -u - 7 + 10 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 1 = 7 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - 7 - 5. What is the lowest common multiple of 12 and (u\/(-5))\/(10\/25)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -19*r**2 - 5. Let c(y) = 105*y**2 + 28. Let z(n) = -5*c(n) - 28*d(n). Let m(q) = 5*q - 7*q + 0*q. Calculate m(z(t)).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 - 3*l**2 - 5*l - 3. Let s be j(-2). Suppose s*b - 3*u = -69, -6*b + u = -2*b + 89. Does 6 divide (-1456)\/b + 14\/(-77)*1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 465*h + 1382. Determine o(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54125.\nAnswer: 5, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((25\/(-150))\/(5\/12))\/((-2)\/(-10)). What is the biggest value in -5, 5, j, 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that v**4 - 7360*v**3 + 13593786*v**2 - 188968504*v + 175382077 = 0.\nAnswer: 1, 13, 3673","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 21163*d**2 - 59*d - 113. Is f(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*t + 133 = 66 + 35 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18521948 is divided by 8221?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 45, -4532, 4, -5, -2 in increasing order.\nAnswer: -4532, -5, -2, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.09, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 1401 + 2481 = 0. What is the remainder when 469 is divided by g?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6386039774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 968?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -732*r - 953. Let k(x) = 731*x + 966. Let u(q) = -5*j(q) - 4*k(q). What is the first derivative of u(w) wrt w?\nAnswer: 736","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 105 - 155. Let h = 49.614 + t. Round h to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201608977 is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5785988584?\nAnswer: 2, 723248573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 28387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 - (0 + 4) - -3. Suppose 5*a - 2 = -2*c, -4*a + 7*a = o*c + 26. Let g(i) = -10*i + 10*i + 0*i**a - 3*i**2. Let f(p) = -9*p**2. Calculate f(g(k)).\nAnswer: -81*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = r - 7805, 5*r - 3*z - 31641 = 7377. List the prime factors of r.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 614\/5 or -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 11454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1067714 + -736871. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 8*m. Let c = -102 + 114. Let a(d) = 34*d - 17*d - c*d. Calculate a(g(n)).\nAnswer: 40*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19.9 - -20.4. Let v = -0.06 - 1.94. Let t = -1 - v. Which is the third smallest value? (a) y (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 10:53 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 1751 + 121 = 0. Let x = -298 + h. What is the remainder when 360 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31 + -5?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = 5*q + 16, 4*q + 3*d + 4 = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 52.6 - 53. Let b = w - 68.6. Let r = -69.0000053 - b. What is r rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (292 + -302)\/(-1*(2 - (0 - 0))). Solve -r = d, 4 = -41*w + 42*w - d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -912 (b) -0.2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1221010 (base 3) to base 8\nAnswer: 2577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 579 is divided by 315?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 204, 2 in descending order.\nAnswer: 204, 4, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (57\/(-20))\/((-4)\/(320\/(-30))). Suppose -5*h = -39 - 21. Let d be ((-14)\/6)\/(4\/h). Is d greater than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9, 16, 19, 18, 13, 4, -9?\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7558, -15072, -22548, -29986?\n\"Answer: 19*n**2 - 7571*n - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 37 = -5*m, 18 = 5*m + 5*x - 22. Solve 2 - m = -h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 5*q**3 - 3*q + 2. Let h(c) = -11*c**3 + 7*c - 5. Suppose 0 = 4*k + 3*b - 43, -3*b + 1 = -2*k - 0. Calculate k*t(s) + 3*h(s).\nAnswer: 2*s**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13 + 7. Let k be ((-18)\/(-3))\/(h\/6). Is (k\/(-18))\/(1\/57) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 480 is divided by 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -17\/333, -15, 0.21?\nAnswer: -17\/333","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10a (base 11) in base 14?\nAnswer: -95","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5962 - 5990 = -7*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1691*f**4 + f**3 - 5*f**2 + 3*f - 8242084.\nAnswer: -6764*f**3 + 3*f**2 - 10*f + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19570450 to the nearest integer?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2 + 3)*(h**2 - h**2 + h**3) - 10613*h**3 - 24*h + 11455*h**3 - 19945*h**3 + 24*h to b + c*h**2 + p*h**3 + n*h and give p.\nAnswer: -19100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12183 by 3.\nAnswer: -4061","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = -s + 19, 2*r + 0*s + s = 11. Let p = -4 + r. Suppose -4*t + 8 = -p. What is the remainder when t is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s - 2*s + 8*s)*(-3*s**2 - 6*s**2 - s**3 + 12*s**2) to p*s**2 + g + t*s + k*s**4 + c*s**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 105*g - 118*g + 28587. List the prime factors of g.\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2747 - -2778. Solve 0 = 5*i - 15, -3*i - a = -2*p - 34 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 42281\/25383 - -8\/8461. Factor 5*f**2 + m*f**3 + 10\/3*f + 0.\nAnswer: 5*f*(f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/40)\/(2\/3 + 3213\/(-2835))?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -24*x**4 + 33*x**3 + 52*x**2 + 12*x + 14*x**2 - 24 + 17*x**4 - 80*x = 0.\nAnswer: -2, -2\/7, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) -88 (c) 0.4415\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**2 + 18*p - 71. Let b be y(10). Let s be (-251)\/(-4) + 2\/8. What is the greatest common factor of s and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9.5 (b) -3 (c) 1\/3 (d) 13 (e) -1 (f) 5 (g) 1\/7\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 2 - (10 + -19 + 9).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 1\/2*g**2 + 18 + 7\/2*g**4 + 0*g - 1\/3*g**3. What is the remainder when 37 is divided by z(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(396))**2 + (sqrt(264)\/(3*sqrt(6)) + sqrt(44) - sqrt(44)) - (sqrt(704) + (sqrt(704) - (sqrt(704) + -1)*-5))*-3.\nAnswer: 381 + 506*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*t - 2*t + 72*t.\nAnswer: -25*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3632 divided by -67.\nAnswer: 3632\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 2\/7*t**2 + 0 - 1\/7*t**3 - 2\/21*t**4 + 3\/35*t**5 - 5*t - 1\/49*t**7 + 2\/105*t**6. Determine o, given that a(o) = 0.\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2420 or 14525\/6?\nAnswer: 2420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 121*-166723\nAnswer: -20173483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n\/n**(-2))**(2\/49))**(-3\/7))**22)**(-20) assuming n is positive.\nAnswer: n**(7920\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/(-1785)*17)\/(10\/(-16)*48\/200)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**2 - x - 14. Let g be w(0). Let b = -10 - g. Suppose 5*l - 6 - 19 = 3*a, 0 = 3*l + b*a - 15. Sort -2, -3, l, 0 in decreasing order.\nAnswer: l, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 - 6*a + 3. Let l = -10 + 4. Let n be j(l). Suppose n*h + 4*o + 5 = 0, 3*h - 2*h = -3*o - 10. Solve -h*s + 22 = -3 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4413, 8841, 13197, 17481, 21693?\n\"Answer: -36*y**2 + 4536*y - 87","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -5*x - 2*a, -2*x + 3*a + 13 = -2*a. Let d(z) be the second derivative of z**5\/20 + 5*z**4\/12 - 7*z**3\/6 - 9*z**2\/2 - 33*z - 2. Give d(x).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**3 + 6*z**2 + 2*z - 8. Let u be w(6). Let d(t) = 2 - t - 11 + 2*t + 6. What is d(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03036895218 rounded to three dps?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 44*l**2 - 5260*l - 34. Let f(o) = 39*o**2 - 5260*o - 30. Give 9*f(p) - 8*x(p).\nAnswer: -p**2 - 5260*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - 0 - ((32 - 4) + -22) - (27 + -79).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 28. What is the remainder when v is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 135, 183, 241, 315?\nAnswer: 411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1428\/100)\/7 + (0 - 2). What is the fourth smallest value in -2, -5, f, -0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1956 - 1061. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2*z = -5 - 19, -m = -z + 19. Let b be (-35)\/50*8\/m. Determine i so that -b*i**3 - 2\/5*i**2 + 2\/5*i + 2\/5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 8*m**2 - 3*m - 6. Let b be f(-5). Let p be b\/2*9\/6. What is the greatest common divisor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7566373150 to the power of 1\/4, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.00024 + 3. What is t rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*l - 53*l + 339290. List the prime factors of l.\nAnswer: 37, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/8)\/((-1)\/(-6)). Which is the nearest to 2\/3? (a) 1\/4 (b) 2 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -28621180 plus -6.43?\nAnswer: -28621186.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286685?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -28 + (-9 - -71) - (-3 - -12)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-7\/3)\/(p*(p**(-9)\/p)\/p))\/(p\/p**(4\/5)*p**(-2\/11)))\/(p**(1\/2)\/p**(3\/5)*(p\/(p*p*p**(-3\/4)))\/(p\/(p**(-2\/5)\/p)*p)) assuming p is positive.\nAnswer: p**(7523\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64, 44, -12, -122, -304?\nAnswer: -576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016040585 rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 1718*a**2 - 4257*a + 6703. What is the first derivative of s(f) wrt f?\nAnswer: 3436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 606*l - 1615. Let r(o) = -1806*o + 4845. Let u(p) = 11*j(p) + 4*r(p). Differentiate u(q) wrt q.\nAnswer: -558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123952 + 218750 = 158*y. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1259 is divided by 137.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 440 + -395.7. What is t rounded to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 + 25. Which is the closest to v? (a) 5 (b) 4 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5699 rounded to 1 dp?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-75))\/(18\/27)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 308809 plus 36950?\nAnswer: 345759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4104 divided by 1026.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 179 - 96. Let b = a + -83. Solve 2*y + b*y = -8 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 145345.\nAnswer: 5, 41, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1428\/(-15) + 6\/30. Let u = 153 + d. Let q = -22 - -37. What is the remainder when u is divided by q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the second derivative of -p**5\/4 - p**4\/12 - p**3\/6 - 3*p**2\/2 - 10*p. What is the units digit of x(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 377\/104 + 3 + -8 + 1 + 1.\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h**3 + 2 - 14 + 20*h**3.\nAnswer: -2*h**3 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15834344?\nAnswer: 2, 17, 173, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -1112?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j - 1. Let f be p(2). Sort -1, -4, f.\nAnswer: -4, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, r: 2, v: 2, q: 1, c: 1, i: 1}. What is prob of picking 1 v and 1 r?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**2 - 3*p**2 + p**2)*(104 + 169 - 60) - 2*p**2 + 5*p**2 - 4*p**2 as q + t*p**2 + c*p and give t.\nAnswer: -214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85354?\nAnswer: 2, 42677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - 1)*(1 + 3). Let z be ((-10)\/(-3))\/((-6)\/(-9)). Suppose -u + 3*g = -0*u + 2, -2*u + 5*g = z. Sort -2, u, b in descending order.\nAnswer: b, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -1 - sqrt(19)) + sqrt(2299)*-1.\nAnswer: -9*sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -46 - -44. Put -5, -15, j, 3 in decreasing order.\nAnswer: 3, j, -5, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1039 divided by 256270?\nAnswer: -1039\/256270","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.94556m to nanometers.\nAnswer: 84945560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (72\/(-15))\/(-4) + ((-1547371)\/(-35))\/7?\nAnswer: 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-63)\/14)\/(9\/(-6)). Let w be b + -4*5\/(-20). Factor 0 - 2\/3*n**w + 2\/3*n**2 - 1\/3*n**5 + 1\/3*n + 0*n**3.\nAnswer: -n*(n - 1)*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 153 + 3 = 0. Suppose -6*i + y = -3*i. Suppose 2*w - w - i = 0. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1719171 is divided by 572698.\nAnswer: 1077","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of f**3\/3 - f**2\/2 - 3*f - 24. Let g = 7 + -4. Let r be a(g). Solve r*t - 10 + 1 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 38161, 5, -5.\nAnswer: -5, 0, 5, 38161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4281574 and 418.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1557, 84, 10 in ascending order.\nAnswer: 10, 84, 1557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i. Let c(a) be the first derivative of -2*a**2 - a + 51. Give -c(v) - 3*k(v).\nAnswer: v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3241508539 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + g**4 - 6*g**3 + 6*g**3)*(0*g - g - g).\nAnswer: -2*g**5 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -425398796 divided by -212699398\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(19 - 27 - (-15)\/2). Solve -3*m + y*l = -4, -2*l - 1 = -5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four ninths of a day in minutes?\nAnswer: 5440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7370 and 75174.\nAnswer: 375870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 0 - 1\/56*r**8 + 0*r**2 + 0*r**6 + 0*r**3 + 0*r**5 + 0*r**7 - 2*r + 1\/12*r**4. What is the third derivative of g(q) wrt q?\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 1. Let u(q) = q**2 - 9*q + 4. Let m(t) = -t + 1. Let p(c) = 3*m(c) + u(c). Let g(k) = -p(k) - y(k). What are the prime factors of g(10)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x + 23 = -12*x + 5*h, -2*x + 22 = 4*h for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 - 6*s**2 - 4*s + 8. Let g be f(-5). Let w(c) = 15*c**2 - 11*c**g - 2*c**3 + 3*c**3. Let h(x) = -5*x**3 + 8*x**2. Determine 11*h(l) - 6*w(l).\nAnswer: 5*l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -830 >= -774?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 40, 231, 748, 1753, 3408, 5875, 9316, 13893?\nAnswer: 19768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -1 (c) 281\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 116 + 634. What is the common denominator of ((-365)\/d)\/(2\/5) and ((-4)\/(-18))\/(6\/(-75))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((22 + -4)*(-5)\/((-30)\/(-4)))\/(168\/(-252))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (600\/150)\/((-56)\/280*(-5)\/18).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*c + 9, 0 = c + 2*o - 0 - 2. Let j = 10 - c. Calculate the greatest common divisor of j and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 2, -3, 5, 56.\nAnswer: -13, -3, 2, 5, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -106*n**3 - 6*n**2 - 10*n - 57. Let a be p(-9). Suppose 40338 = 21*b - a. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2752.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 10, 48, 114, 208?\n\"Answer: 14*l**2 - 4*l","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2 - -5) + -3)\/(-1). Suppose -3*d + 6 = -n*d. Suppose 0 = d*i - 4*i + 40. Is i a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 12. Let z = -5 - -5.5. Let k = z + -0.1. Sort k, -0.5, c in increasing order.\nAnswer: -0.5, k, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33199 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 151812 and -1\/3 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*f**2 - 6*f**2 - f - 2*f**2 + 29*f**2 as x*f**2 + n*f + i and give x.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -14522391 and -14522390 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200211 (base 3) to base 6.\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**7\/42 - d**3\/6 - 10*d**2. Differentiate l(q) wrt q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 p when three letters picked without replacement from {z: 3, a: 9, p: 4}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -996872 - 2824\/3*o - 2\/9*o**2.\nAnswer: -2*(o + 2118)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6399 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -1\/3, 0.13, 120, 4\/5 in increasing order.\nAnswer: -1\/3, 0.13, 2\/5, 4\/5, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -154.06?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (4 - (11 - 5))*3\/(6\/(-3626))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)*p*p)**(2\/33)*(((p*(p\/p**(1\/5))\/p)\/p)\/p*p)**(2\/31) assuming p is positive.\nAnswer: p**(244\/5115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 244 - 489\/2. Which is the second biggest value? (a) -29 (b) r (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4092 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4257214 - 1427214. What is d rounded to the nearest one million?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -4 (b) -1\/2 (c) 4 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*j, 1 + 80 = -3*z - 3*j. Calculate the common denominator of (1\/(-4))\/(81\/(-252)) and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1097 - 1097.08. Which is bigger: 18 or b?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*30\/24*(-96)\/81*3?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (4 - 7 - -4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8105 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100000110111 - -1110101?\nAnswer: 11100010101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w + 31 = b, 11029*b - 11024*b - 25 = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 0*h + 5*h + 65, n = 5*h + 5. Let z = n + 24. Suppose 0 = 3*w + 3*p - 186, -z*w + 250 = -0*p + 3*p. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -429.03 - -429. What is the smallest value in c, -114, -0.2?\nAnswer: -114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 42570?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 50*b**2 + 432*b + 877. Determine j(-5).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 138 and 76 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 6) to base 15\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*y - 2. Suppose -y*t + 0*t = -78. What are the prime factors of t?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.2, 0.5, -110?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7 and 308?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44428 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of c**3 - 961*c**2 - 4587*c - 182877483 wrt c?\nAnswer: 3*c**2 - 1922*c - 4587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-106*z + 70*z + 75*z)*(3*z - 2 + 2) to q*z**2 + h*z + d and give q.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -3, 12, -0.3, -55\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12020200 (base 3) in base 4?\nAnswer: -323301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 78 - 102 = -4*d, 32 = 8*d for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -1. Let h(q) = q - 5. Calculate h(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 0*r + r + r)*(-3*r - 4*r - 23*r + (-3 - r + 3)*(-6 + 2 + 3)).\nAnswer: -58*r**2 - 290*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-11))\/f**(-16))\/(f\/(f**(-21\/5)\/f)*f**2\/f) assuming f is positive.\nAnswer: f**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/3 or 0.0027?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (2*(sqrt(104) - (sqrt(104) + sqrt(104)*1 + sqrt(104)))*6)\/(((sqrt(96) + (sqrt(96) + 1*sqrt(96) - sqrt(96)) + sqrt(96))*1)\/sqrt(12)))*-1)**2.\nAnswer: -32*sqrt(13) + 836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 39079589 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {k: 15, y: 5}?\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100100110111011 - 110?\nAnswer: 10100100110110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.2 and 6801256767.\nAnswer: 6801256766.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 3*p + 1 = 0, -6 + 0 = -2*u + 2*p. Let c be -1*(-90 + 42)\/96. Suppose 5*w + c*w**u + 25\/2 = 0. Calculate w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5072348?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + -1.26. Which is smaller: p or 1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 - 14. Let l be 10*(o\/(-5))\/(-3). Suppose 3*s = -2*c + 15, -s + l*s = 3*c + 15. Solve c = -f - 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -804 less than -1858?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 61.5 + 200.1. Round u to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 155613.\nAnswer: 3, 51871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p - 1 + 1 + 0. Let l(u) = 2*u**2 + 2*u**2 - 3*u**2 - 4*u**2. What is n(l(i))?\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2569, 4986, 7389, 9772, 12129?\nAnswer: 14454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6986041 milligrams in grams?\nAnswer: 0.0006986041","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -a**2\/2 + a + 1. Let h be x(0). Find the first derivative of -o**2 - h - 2*o**2 + 2 wrt o.\nAnswer: -6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and ((-108)\/(-30))\/(6\/20).\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 33 - 4*y - 32 - 8*y. Let v be g(-2). Suppose -5*m + v = 0, u + 2*u - 859 = 4*m. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102175*l + 102139*l - 204311*l.\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16 + -34 + 47)\/(3\/(-5)). Suppose 4*z + 6 = 30. Solve z*w = -h + 29 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 19*i**2 - 272*i - 27. What is y(12)?\nAnswer: -555","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.885 + 2.485. Sort 81, t, -4, -0.2 in descending order.\nAnswer: 81, -0.2, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1751, 1735, 1719?\n\"Answer: -16*c + 1767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e + 11ab2?\nAnswer: 11a94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(50))**2*-6 - ((sqrt(128) - 3*sqrt(128))*-5 + ((sqrt(128) - sqrt(128)*2)*2)**2).\nAnswer: -1713 - 80*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2273 plus 4979?\nAnswer: 7252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 13 = b, -3*b = 3*g - 6*b + 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2636*y - 24 + 2643*y - 19 + 2 - 6*y**3 wrt y.\nAnswer: -18*y**2 + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 - 3. Let f = -294.074 + 303. Let o = f + s. Round o to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 24 = -8*o. Solve -12 = f + o*f + 2*h, 0 = -3*f + 2*h - 9 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -830*m + 408*m + 418*m + 36. Determine i(7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1332, -252, 0, 5, 4.\nAnswer: -1332, -252, -4, 0, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15987519451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*m**2*x*z + 14*m**2*x + 310223*m*x - m*z + 9608553*x*z + z wrt z.\nAnswer: 2*m**2*x - m + 9608553*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7209282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 128278216?\nAnswer: 2, 11, 1013, 1439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -905\/7 + 129. Which is the nearest to -0.2? (a) -0.1 (b) 0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -t**5\/60 - t**4\/2 - 2*t**3\/3 + 3*t**2. What is the units digit of s(-11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 4) in base 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 178793 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0.3 (b) 1626\/7 (c) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 32888900*c + 135209967901250.\nAnswer: 2*(c - 8222225)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/52 - (27\/(-2))\/(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**2\/2 + 4. Let c = 75 + -81. Let m(l) = 5*l**4 + 6*l - 19. Let j(y) = c*v(y) - m(y). Differentiate j(q) with respect to q.\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 561 and 7718.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57326 is divided by 43?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8*22.1781\nAnswer: 177.4248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29 + 11 + 78)*(11*q**2 + 29 - 29).\nAnswer: 1298*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -308 + 6470\/21. Put -2, -2\/9, 5, r in ascending order.\nAnswer: -2, -2\/9, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/4 of a tonne in kilograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f + f + f)*(58842*f + 28514*f + 33570*f - 24600*f - 20102*f + 37231*f) to h + p*f**2 + y*f and give p.\nAnswer: -226910","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000086956183 rounded to five dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2562 + 1465. Let s = a - 4026.997721. Round s to 4 decimal places.\nAnswer: 0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 579 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -4 + -15 + 55\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1\/(-2))\/(1 - -1). Let r = 24776\/169 - 76\/169. Let p = -146 + r. What is the closest to -2\/5 in p, 2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -119360200 to the nearest one hundred thousand.\nAnswer: -119400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -40, -6, 1998.\nAnswer: -40, -6, -4, 1998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**2 - 5*w + 79. What is the hundreds digit of l(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 5*q**3 - 70*q**2 + 215*q - 150 = 0.\nAnswer: 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, -2\/11, -2\/5, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32987 - 14663. Suppose 4941 = -9*v + n. Does 84 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 2 + -19 - (-208 - -214).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**7*c*c**(-2\/9))\/((c**3*c)\/c*c)**(-10) assuming c is positive.\nAnswer: c**(439\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x + 0*x**2 - 7 + 1 - 8*x**2 + x**3. Let i be b(8). Solve -4*w - 3*j = -22 + 2, 0 = 5*w - i*j - 25 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**8\/28 + f**4\/4 - 8*f + 6. Let a(k) be the first derivative of r(k). What is the third derivative of a(j) wrt j?\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13550076?\nAnswer: 2, 3, 29, 12979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00022985305 to seven dps.\nAnswer: 0.0002299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 176*w - 680. What is the units digit of d(29)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -0.11, -0.08, 0.4, -0.8 in decreasing order.\nAnswer: 0.4, -0.08, -0.11, -0.8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*o + 10*d + 4*d + 406 = 18*d, 2*d - 182 = -o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -733016 = -26*q - 200588. Is q a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/(h*h\/(h\/h**(1\/2))))**(-34)*(h**(-1\/3))**(1\/19))\/((h**(-3)*h\/(h**(-1)*h))\/(h\/h**4*h**(2\/25))) assuming h is positive.\nAnswer: h**(-25561\/1425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 3*h**4\/20 - 3*h**2\/10 + 10. Solve j(p) = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 833, 1643, 2429, 3179, 3881, 4523?\nAnswer: 5093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2 + 119*o + 1980.\nAnswer: (o + 20)*(o + 99)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 608061606 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -333 (base 6) to base 14.\nAnswer: -93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mfcc when four letters picked without replacement from ccfmhcx.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 100212101 (base 4) in base 12?\nAnswer: 33415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 812.\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21.1 + -63. Let b = 40.9 + m. Sort 0, b, 20, 5 in ascending order.\nAnswer: b, 0, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/30 + (-5)\/(25\/18). Let b = -4 + 8. Suppose 0 = -b*d + 7*d. Is d greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -474162*g**2*n**3*v + 48*g**2*n**3 + g**2*n**2*v + 3*g**2*n**2 - 6*g**2*v - 166*g*n**2 - 4*n**2 - 3*n + 42 wrt n?\nAnswer: -2844972*g**2*v + 288*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 423867 to the nearest integer?\nAnswer: 651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -79 in -0.4, 1\/3, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the second derivative of p**4\/12 + p**3\/3 - 5*p**2\/2 + 3*p. Let w be z(-4). Solve -w = r - 0*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -11476 (b) 11 (c) 1\/2 (d) 3\/7 (e) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 19 = -5*h + 6, 2*h + 5 = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (559\/(-3) - -1)\/(252\/(-378)). Suppose 0 = -12*i + 10 + y. Suppose -5 = -2*q + h + 73, 4*h + 16 = 0. Calculate the remainder when q is divided by i.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 g, and 2 n when four letters picked without replacement from {x: 1, n: 2, g: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -114 - -106. Let r(b) = -13*b**2 - 7*b - 10. Let g be r(u). Round g to the nearest ten.\nAnswer: -790","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {w: 1, n: 7}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r. Let v be (12\/(-3))\/(-4 + 2). Let u(x) = 0 + 11*x**2 + 0 - 5*x**v. What is u(w(d))?\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 82? (a) 59 (b) 0 (c) -5 (d) 2\/3 (e) 6\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -5 + 0 - -6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + j**2 - 1. Determine n(3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(2\/3))**(8\/11)*(r\/((r\/r**(-1\/3))\/r))**(-4\/7))**30 assuming r is positive.\nAnswer: r**(240\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14212479 is divided by 208?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 1*(1 - 2). Let b be 49\/7 - (h + 0). Let n = 8 - b. Sort -1\/5, n, 5.\nAnswer: -1\/5, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2 + 0 - 2 + 1 + 5*g. What are the prime factors of f(4)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7 and 621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 33*i - 21. Let c(v) be the second derivative of 4*v**3\/3 - 5*v**2\/2 - 4*v. Let s(o) = 21*c(o) - 5*h(o). Let g(a) = -3*a. What is s(g(l))?\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 2*q - q - 5, 3*q - 5*f - 15 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 37, 172, 451, 916, 1609, 2572, 3847, 5476?\n\"Answer: 7*g**3 + 30*g**2 - 4*g + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 160489967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 + 1 - 6 + 10*o - 11*o. Let m be s(0). Suppose -w + 10 = -2*r + 1, 2*w + 2*r = -6. Put 4, m, w in descending order.\nAnswer: 4, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298 = -6*v - 1826. Let p = 722 + v. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - j + 681 = 0. Let g = j - -335. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 226900402?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 23, -27, -103, -199, -309, -427, -547, -663?\n\"Answer: m**3 - 19*m**2 + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7889 and 441.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = a + f - 2*f, -22 = -5*a + f for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 303255769 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -381*l**2 + 21*l**3 - 3*l**5 + 57*l**4 - 4823998 + 4823998 - 342*l = 0. What is l?\nAnswer: -2, -1, 0, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/8*(-231)\/(-33)*(-60)\/14\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263076881 is divided by 4181?\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57681 and 221676.\nAnswer: 1131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 8 + 5*o**3 + 1 - 2*o)*(-2*o**2 - 2*o**2 - o**2).\nAnswer: -25*o**5 + 10*o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 184 + -162. Let n(k) = -1 + 3*k + k**2 + 2 + 5*k**2 - 3. Calculate the lowest common multiple of i and n(-2).\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3081, -6167, -9255, -12345, -15437, -18531, -21627?\n\"Answer: -i**2 - 3083*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/3*2)\/3?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004308 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00545243 rounded to four dps?\nAnswer: -0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/24 - -49\/120. Which is smaller: g or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*f**2 - 13*f**3 - 7*f**2 - 3*f**2 - 14*f**3.\nAnswer: -27*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 5*v - 5 = 0. Let j be ((-40)\/12)\/(-2)*(-3)\/v. Solve x = j*f + 14, 3*f - x + 9 = 1 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3\/10128238 + -4350083423\/17562364692. Let n = 2\/867 - l. Sort 35, n, -5 in decreasing order.\nAnswer: 35, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2 + sqrt(931)) + sqrt(931) - (5 + (-2*sqrt(931) - sqrt(931))))**2 + (sqrt(931) + (sqrt(931) - (0 + sqrt(931))*-2) + 0)**2.\nAnswer: -252*sqrt(19) + 18701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y - 308 + 490. Is 7 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1070110 divided by 4.\nAnswer: 535055\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 146639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -494 = -6*x - 7*x. Suppose 30*s - x*s = -104. Is s > 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 13557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - 28. Let u be a(0). Let g be (u\/8)\/(-7)*10. What is the first derivative of -5 - 5*f - 2*f + g*f wrt f?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v - 8. Let w be y(-2). Let d be ((-7)\/w)\/((-2)\/384*-3). Which is smaller: d or 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -523, -1778, -4223, -8254, -14267?\nAnswer: -22658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -9244250 to the nearest one hundred thousand.\nAnswer: -9200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllnmq. Give prob of picking 1 l, 1 m, and 1 n.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*c**3 - 6*c**3 + 32*c**3.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-68330*s + 190 + 165 + 68333*s + 464)*(8*s**3 - 5*s**3 - 2*s**3) in the form c*s**2 + m + i*s**4 + k*s**3 + a*s and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -3*h - 45, 2*h + 3*i - 12 + 45 = 0. Suppose 3*p + 5*c = -10 + 25, -p = -2*c - 5. Calculate the smallest common multiple of p and 2 + 18\/h*2*-1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -119*p**3 - 38879*p**2 + 8836944*p wrt p.\nAnswer: -714*p - 77758","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 70 - (17 - (-273 + 155)).\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of 319*f**5\/30 - f**4\/8 + f**3\/6 - f**2. Let k be d(5). Let j = k - -33064. What is j rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -114, -86, -28, 72, 226?\nAnswer: 446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1472\/7 smaller than -211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/12)*t)**12\/(t**14*t\/((t**(-7\/6)\/t)\/t)) assuming t is positive.\nAnswer: t**(-43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4452 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19500 and 540.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1419 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: Suppose 102 = 5*v + 3*g, v + 5*g - 51 = -13. Suppose -j = 5*j - v. Suppose -j*d = -15, 241 + 1999 = 4*w - 4*d. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2122595 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 91*o**2 - 281*o + 167. Is d(-100) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((2*(sqrt(96) - sqrt(96)*6))\/(sqrt(9)\/sqrt(27)))**2*2.\nAnswer: 57604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*s + 112*s = -24. Suppose -2*q - 5*x = 11, -4*q + 6*x - 10 = s*x. What is the fourth biggest value in q, 1, 2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -5*s + 8, -3*s = -9 + 3. Let o(b) = 0*b**i - 4 + 4 - 3*b**2. Let r(u) = 2*u**2. Determine r(o(m)).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -8*a**3 - 15*a**2 + 24*a + 4. Let b(d) = -4*d**3 - 8*d**2 + 13*d + 2. Let u(z) = -11*b(z) + 6*q(z). Let t be 1 - (5 - 10\/5). Calculate u(t).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 27 = -13*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6509 is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -3020.272\nAnswer: -6040.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 11629*c**6\/120 + 293*c**5\/4 - 27*c**2 - 8*c. Find the third derivative of n(b) wrt b.\nAnswer: 69774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*n - 3*n - 15 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10.05 in 1\/7, 1, -2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-90)\/20*(-16)\/(-6). Let a = 15 + q. Let w = -4.0412 + 0.0412. Put 3\/8, w, a in decreasing order.\nAnswer: a, 3\/8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 663\/28 - 4909\/168. Calculate the common denominator of -58\/15 and a.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 0)*(-2*m**5 - m**5 + m**5) - m**5 + 2*m**5 + 0*m**5 + (m**2 + m**2 - m**2)*(3*m**3 + 5*m**2 - 5*m**2).\nAnswer: 2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-4)*(9 - 8). Suppose -c - 8 = -3*c. What is the closest to k in c, 0.1, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -43 - -46. Let p be 6*((-2)\/t - (-3 + 2)). Determine z, given that -15 + 5*z**2 + z**p - 8*z + 2*z**3 + 15 = 0.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pepe when four letters picked without replacement from {p: 6, e: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/j**(-3))**(2\/105)*(j*j\/j**(-2\/17)*j)\/j**(-4) assuming j is positive.\nAnswer: j**(4303\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(567) - sqrt(567)) + -1)*6 + 4*((sqrt(567) - (-1 + sqrt(567)))*-3 + sqrt(567)) + -2)**2.\nAnswer: -1872*sqrt(7) + 9748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -629*r**2 - 539*r**3 + 77*r**3 - 631*r**2 + 1269*r**2 + 3.\nAnswer: -462*r**3 + 9*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 879883130 to the nearest 1000000.\nAnswer: 880000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -60 (b) 1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (21\/14)\/(1\/16). Calculate the greatest common factor of 192 and t.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -3*o + 849. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1695 = -p - 3*c, c - 8517 = 109*p - 114*p. What are the prime factors of p?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 893 = 149*o - 111 - 1082. Let m = 40 + 44. What is the highest common factor of o and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 8*m**2 + 26*m - 24. Let o be a(-4). Solve o = -6*u + 48 - 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i*n*w**2 + i*n*w - i*w - n*w**2 - 8*n*w + 18*w**2 wrt w.\nAnswer: 4*i*n - 2*n + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s**3 + 4*s**2 - 2*s - 2. Let b be g(4). What is the tens digit of (b\/10)\/((-2)\/46)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -127 in 0.48, -3, 2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -4 - -3 - (15 - 1 - (118 + -101))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.2685392 and 436.\nAnswer: 436.2685392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1103829*u**3 + 6*u**2 - 5*u - 1115?\nAnswer: -6622974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/2 - 255\/170?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1871 - 929. Is y a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 5 (b) -0.347 (c) -0.02 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34362835?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 609629*c**4 + 2*c**3 + 123*c**2 + 7*c - 452 wrt c?\nAnswer: 14631096*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406, -813, -1220, -1627, -2034, -2441?\nAnswer: -2848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.5799954 - 0.58. Round y to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -8. Suppose 6*k - 8 = q*k. What is the second derivative of h**5 + k*h + h**5 - h**5 wrt h?\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0008458 rounded to five decimal places?\nAnswer: -0.00085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -401, 14, -2 in ascending order.\nAnswer: -401, -3, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -4\/7 (b) 1\/3 (c) -1 (d) 5 (e) -4\/641\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 308\/453 less than or equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (101\/11)\/(3\/849441). Let c = 2605063 - i. Let z = c + -5263. Find the common denominator of 64\/9 and z.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -225076 - 54.001.\nAnswer: -225130.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + k + 5)*(2 + k + 5*k - 5*k)*(-7 + 7 - 7*k).\nAnswer: -7*k**3 - 14*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -7 (b) -1 (c) -5\/4 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 81011.66600044 + -80992.666. Let t = -19 + s. What is t rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -2*d + 83, -5635 = 72*d - 5*k - 5648 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vovv. Give prob of sequence vvv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737462557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of 0*g**4 + 8 + 0*g**2 + 0*g + 5\/3*g**3 + 0*g**5 - 20\/7*g**7 + 0*g**6. Find the third derivative of y(k) wrt k.\nAnswer: -2400*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 792513 and 66432.\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7309.763 micrometers in meters?\nAnswer: 0.007309763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 98*n + 2. Let m be (0 + -2)*6\/(-4). Suppose 5*c = z + 31, -3*c + 14 + 1 = m*z. Let f be l(c). What is f rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*l + 26110 = 277*l - 566. Calculate the remainder when 368 is divided by l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(11) - sqrt(55)\/sqrt(80))**2 + sqrt(11) + -1.\nAnswer: sqrt(11) + 131\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8542 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 22823, 36682, 50543, 64406, 78271?\n\"Answer: u**2 + 13856*u + 8966","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8 + 7624?\nAnswer: 7633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*x - 29*x = -468. Let t(q) be the second derivative of 0*q**3 - 6*q + 0*q**4 - 1\/2*q**2 + 0*q**5 + 13\/30*q**x + 0. Differentiate t(c) wrt c.\nAnswer: 52*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -4*x**2 - 1 + 3 - x**3 - 3*x**2 + 8*x. Let m be n(-8). Determine a so that -3*a**m - 4*a**4 - 3 + 3 + 16*a**4 + 9*a**3 = 0.\nAnswer: -1, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -18*k + 6. Give o(4).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o - 1. Let m be s(-1). Let u = m + 0. Suppose 5*a - 41 + u = 0. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 255475807.\nAnswer: 131, 14887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ussu when four letters picked without replacement from {s: 4, u: 15}.\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/346560 and -77\/240?\nAnswer: 346560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6717 divided by 2239.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6800.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 142816656 to the nearest integer?\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -32. Let x be 60\/(-9)*z\/(-10). Let p = -1 + 2. Calculate the highest common divisor of x and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410935656?\nAnswer: 2, 3, 67, 83, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-7)\/(-6) + 25\/(-15). What is the third biggest value in 1\/3, -3\/2, 1\/19, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 63 + 9 - 9 - 18)*(-7*a + 0*a + 4*a).\nAnswer: 324*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = v + y, 2*v - 7*v = 3*y - 17. Let r = 3 - v. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -40.7 and 0.5?\nAnswer: 41.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 + 4*j**2 - 6*j - 7. Let q be o(-5). What are the prime factors of 0 + -1 - (-1 + q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*h - 3*h**4 - 92*h**2 + 94*h**2 - 3*h**3 - h**3 in the form t*h**2 + o*h + i + y*h**3 + f*h**4 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/(p*p*(p**2*p*p)\/p*p)))\/p**(-4\/7)*(p\/((p\/((p**(-1\/4)*p)\/p))\/p)*p)**1)**5 assuming p is positive.\nAnswer: p**(1165\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - 3.6. Let g = 4.6 + f. Are g and 2\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/(35\/(-4)))\/(2\/(-10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -7*g**3. Suppose -u + 124 = u. Let a = 76 - u. Let f be -4 + 2 + -1 + a. Let y(v) = -13*v**3. Give f*b(s) - 6*y(s).\nAnswer: s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.12 + -0.36. Round x to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o*o**(-8))\/o)**(-17)*(o*o**(7\/6))**(3\/11))**17 assuming o is positive.\nAnswer: o**(51085\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.2101483 + 0.4\nAnswer: 0.1898517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 + 224 = 5*z. What is the tens digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 PM and 9:26 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 0, -380, 57, -630 in increasing order.\nAnswer: -630, -380, 0, 3, 57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33\/297 - 3041\/(-9).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*y + 41. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -177 = 2*f - 497. Calculate the highest common divisor of f and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1380 + -1276. Calculate the remainder when v is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 230611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2103768 milliseconds in minutes?\nAnswer: 0.00000350628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53153893 to the nearest integer?\nAnswer: 7291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 58 (c) 3.5 (d) 0.3 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -12 * -0.174\nAnswer: 2.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1338 (c) 0.7 (d) -4\/5 (e) -1\/35\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*a**3*p + 282*a**3 - 670*a**2 - a*p - 2*a - 707216*p wrt a.\nAnswer: -90*a*p + 1692*a - 1340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + (-1)\/11)\/((-396)\/(-363)). Sort 2, o, -0.085.\nAnswer: -0.085, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 4:10 PM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and -0.5621?\nAnswer: 2.8105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11084 and 12062?\nAnswer: 410108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -183 - -179. Let t be p\/(-30) + (-11087936)\/(-480). Round t to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 10888.69 to the nearest ten.\nAnswer: 10890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-5\/4))**(18\/5)\/(((o*o**(-3\/10)\/o)\/o)\/(o\/(o*o**(5\/4)*o))) assuming o is positive.\nAnswer: o**(143\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j - 9. Let u be w(-6). Suppose -a + u*a = 76. What is the least common multiple of 4 and a?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*f**4 + 9*f**2 - 5*f**4 - 11*f**2 + (-f - 3 + 3)*(3*f**3 - f**3 - f**3) - 3*f**3 - 2*f**4 + 3*f**3.\nAnswer: -18*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 23? (a) 16 (b) -3\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, 136, 223?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/204776 and 59\/180.\nAnswer: 9214920","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 2. Suppose 4*r - 39 - q = 0. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -724*a. Let f(u) = 5*u. Calculate l(f(m)).\nAnswer: -3620*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86757.51mg to nanograms.\nAnswer: 86757510000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by 29557.\nAnswer: 59\/29557","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**2 - k - 3. Let h be w(4). Let i = -9 + h. Let m(z) = -z + 1. Let t be m(-8). Solve 5*y = -i - t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 120559895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -484 and -0.01.\nAnswer: 4.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30869 is divided by 137?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.093 - -33914.\nAnswer: 33913.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 484949, 969903, 1454873, 1939865, 2424885, 2909939?\n\"Answer: q**3 + 2*q**2 + 484941*q + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 649*a**3 - 498*a**2 - 770*a**2 + 199*a**3 - 110*a**3 wrt a.\nAnswer: 4428","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of l**4\/6 + l**3\/2 - 2*l**2 - 11*l. List the prime factors of n(3).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2386 + -2377. Let o = -16 + 21. Solve -4*b + n = o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u - 51615*u**2 - 29 - 3*u + 29 + 51611*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 47*l + 9. Let b(c) = 23*c + 4. Let a(d) = 7*b(d) - 3*y(d). Let w = 609473 - 609472. What is a(w)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/17 and -18\/2472769.\nAnswer: 2472769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y = -24*y - 10. Let b be -5 + 3 + 1 + 1. Suppose -5*n + l - 2 + 0 = b, n = -4*l - 13. Sort y, 3, n in descending order.\nAnswer: 3, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x + 75. Let m be a(-7). Let t be (-10)\/18 + m\/369. What is the closest to -0.4 in -0.1, 0.4, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 28, 107, 238, 421, 656, 943?\n\"Answer: 26*c**2 + c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 37515 - 31788. What is the remainder when m is divided by 155?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2186 + 172?\nAnswer: 2368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -57278760 divided by 1735720\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 10 - 6 - 22*s**3 + 1.\nAnswer: -22*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by -340\nAnswer: 29\/340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1015.\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 572 and 26004?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3828524337?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 549742 is divided by 549731.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of y**7\/45 + 11*y**6\/75 - 49*y**5\/150 - 193*y**4\/90 + 14*y**3\/15 + 32*y**2\/3 + 1212*y - 1. Let a(q) = 0. What is q?\nAnswer: -5, -2, -1, 1, 16\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 + 16. Suppose -2*n + 2 + 2 = -j, -a*n = 4*j - 23. Suppose n*d + 5*i - 3*i = 16, 2*d - 3*i = -11. Solve -5*m = d + 13 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -22.796041.\nAnswer: -22.796041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 + -277 + 7 - -2)*-3 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2334*b**4 + 57*b + 8755558?\nAnswer: 9336*b**3 + 57","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -48251, -48252, -48253, -48254, -48255, -48256?\n\"Answer: -n - 48250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10104*q - 5644 + 2823 + 2821.\nAnswer: 10104*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h - 6. Let f(y) = 3*y + 5. Let u(o) = -6*f(o) - 5*n(o). Let k be u(4). Solve 0 = j + j - k for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 PM and 5:01 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(5*(sqrt(88) + (sqrt(88) - sqrt(88)*-2)*-1 + sqrt(88) - sqrt(88) - sqrt(88)))\/(sqrt(8)*2*3 - (sqrt(1152) + sqrt(1152)*1)))**2.\nAnswer: 275\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v**3 + 4*v**2 + 2. Let i be 784\/(-224)*12\/(-14). Give c(i).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*m = 321*m + 827*m - 8944 for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 1003*b**2 + 3*b + 11. Is t(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71988*z**2 - 27431.\nAnswer: 143976*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5253 and 13260?\nAnswer: 1365780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a - 46 = -u - 96, -5*u + 3*a - 1 = 9 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1621721408 to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70035 is divided by 9316.\nAnswer: 4823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3606, 5369, 7132, 8895?\n\"Answer: 1763*w + 1843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from eeseeeeyyssyeeeeeeye?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 26102591?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 44*l - 141. Let i be g(47). Let o be (-119)\/(-238)*(16\/10 - i). Let n = -1 - -1. Is n at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 smaller than 234121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16392)\/(-68300)*(10\/12)\/5.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -343 divided by -2\nAnswer: 343\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 0*i - 2 = 0. Let t(j) = j**2 - 1. Determine t(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/8083 (b) -0.55 (c) 11\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 34 = -1. Let l(d) = -3*d - 18. Let j be l(n). Let t(p) = 4*p - j - 1 - 4 - p**2 + 6. Give t(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71\/682 + 1532269\/4774. Let w = 321 - i. Factor 0 + 0*m + w*m**2.\nAnswer: m**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 91*b**2 - 8*b - 4. What is the hundreds digit of r(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - -1. Suppose 0 = -3*y + 4*y - k. Calculate the remainder when 17 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 5. Let h = -29307.5 + 29308. What is the closest to b in h, -0.04, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155042442 divided by -145991.\nAnswer: 1062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p - 10*p = 35465. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -305*u**3 + 19823*u**2 + 128*u + 122. Determine y(65).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(66)*2 - sqrt(66) - sqrt(66))*4 + (1*-2*sqrt(66) - sqrt(66)))*-6)\/(sqrt(42)\/(2*sqrt(7) - sqrt(7))*-6*-5*1).\nAnswer: 3*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 542827657 to the power of 1\/2, to the nearest integer?\nAnswer: 23299","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 6*n**3 + 0*n**3 + 2*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 17. Let a = 0 - 0. Let q = f + a. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-10))\/(((-42)\/8)\/(-21))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 9 = -8*p. Let o(b) = -7. Let u(k) = k + 29. Calculate p*o(r) + 2*u(r).\nAnswer: 2*r - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a centimeter in micrometers?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q*(q\/(q*q**(3\/2)*q*q)*q*q)\/q)\/q)**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 56?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 6, 7, -5, 1\/6, 24 in ascending order.\nAnswer: -5, 1\/6, 3, 6, 7, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 3*c**2 + 1. Let h be q(-3). Let f be ((-9)\/6)\/((-6)\/16). Solve 0 = -2*p - 5*a + h - 19, 0 = -f*p - 3*a - 22 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3221732 and 172?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29 + 18. Let l = -34 - r. Let g = l + 43. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 q when two letters picked without replacement from mmmqqmqvmmmttq.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -484*g**4 - 792132*g**3 + 32754816*g**2 - 11832272*g + 1073280 = 0.\nAnswer: -1677, 2\/11, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-386325)\/1190)\/(-303))\/((-9)\/(-140)).\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 65 - -7?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 328*h + 629. Let a be c(0). Calculate the highest common factor of a and 185.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 15*k**2 + 361*k - 96164. What is y(-93)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 6*c - 6. Let t be h(-4). Solve 0 = -t*d - f, -4*f - 5 = 3*d - 0*f for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-6))\/1*2. Suppose w + 4*w = -q + 8, 2*q - w = 5. Let i be q\/(-5) + 16\/32. Is s at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 24 = -3*h, -119*f = -3*h - 118*f + 21 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 - -7.970118.\nAnswer: 79.970118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*v + 4*v - 74 = 0, -13 = -t + v. Let j be (t\/45)\/((-2)\/(-10)). Let f = 0.43 - 0.23. What is the second biggest value in -0.4, -2\/7, j, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.8033 - -0.1967. Let g = -2 + 1.8. Which is the biggest value? (a) y (b) g (c) 0 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 + -2 + 4\/4. Suppose -5*f + 0 - 15 = v. Let y be (-2 - 6\/f)\/(-2). Solve 0 = -y*r - 4*r - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j**2 + 14*j + 246. Suppose -m - 4*c + 2 = 0, -4*m - 5*c + 12 = -7. Let q(y) = 2*y**2 - y + 1. Let u(s) = m*q(s) - w(s). Differentiate u(f) wrt f.\nAnswer: 6*f - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1543040*p**2*x - 143*p*x + 16230*p wrt p.\nAnswer: 3086080*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 - -22. Suppose 4*k + 96 = -0*f - i*f, -k - 74 = 3*f. Let w = 172 + f. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 14. Which is greater: p or -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/(130\/728)*(-40)\/70?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1846.4 times -0.1\nAnswer: 184.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -13. Let c(h) = -h - 3. Let k be c(b). Let j = 13 - k. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 4*(0 + 1)*10\/8?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 28*a**2 + 29*a. What is o(-29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -294, -1143, -2556, -4533?\n\"Answer: -282*h**2 - 3*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 27 + -133\/5. Let z = -183.8 - -184.8. What is the nearest to z in 0.3, 4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -97336, -97152, -96966, -96778?\n\"Answer: s**2 + 181*s - 97518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3774399865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 11098.\nAnswer: 11\/11098","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-12)*-2)\/(8\/24)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (151*c**2 + 423*c - 423*c - c - c**2 + c + (c**2 - c**2 - 2*c**2)*(0 + 1 - 3) - 2*c**2 - 2*c**2 + 2*c**2)*(2 - 2 + c) - 3*c**3 + 3*c**3 - c**3.\nAnswer: 151*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*2*(-3)\/12. Suppose -5*o + o + 5*z + 1445 = v, 4*o + 5*z = 1475. Let p = o + -128. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 4 = z, 8 - 48 = -5*s + 5*z. Let u(w) = -13*w + 4. Let j(o) = 14*o - 5. Let h(l) = s*u(l) + 3*j(l). What are the prime factors of h(-3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 412 + -613. Let n = -113 - x. Calculate the highest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2481.5318 + -2481.644938872. Let h = z + -8.986864958. Let u = h + 9.1. What is u rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14365 divided by -25\nAnswer: 2873\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -20 - (-591 - -596)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.26129 times -310?\nAnswer: 80.9999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -4*l + 15 - 5*l + 2*l + l - 18. Let j(p) = -p - 1. Let h = 3 - -5. Let g be (-3)\/(-3 - h\/(-2)). Calculate g*j(v) + d(v).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = 263*q - 253*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a hour in minutes?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*p**3*s - 4502*p**3 + 3*p**2*s + 4607*p*s - p wrt p?\nAnswer: -18*s - 27012","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/2926 and -25\/1522059.\nAnswer: 57838242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13049\/19 + -687. Let y = 34.29 - 33.79. What is the nearest to u in 4, 5, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-2) + (-1)\/(-2). Suppose 0 = h*d - 4*p - 14, 3*d = -0*d + 5*p + 19. Calculate the lowest common multiple of (-6)\/d - (-9 + -1) and 11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**2 + 125*x + 1664. Let r be s(133). Solve 32 = -r*l + 584*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, 2\/17, 1\/3, 28?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 - 0)\/((-9)\/8523) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2778 to the power of 1\/2, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 454362 to the power of 1\/2, to the nearest integer?\nAnswer: 674","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/20 - l**4\/3 + l**3\/2 + 5*l**2\/2 + 27*l + 2. Calculate n(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 2:22 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p + 2*p + 0*p + (-41 + 27 - 35)*(3*p + 2*p - 3*p).\nAnswer: -99*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of 1066*l**4 + 10*l**3\/3 - 3*l**2 + 7. Let t be h(7). Round t to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 14. Suppose 5*z + n*r - 9 - 11 = 0, -z + 2*r = 11. Is z bigger than 0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1280243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 214 + -109. Let h(y) = y**3 + 7*y**2 - 11*y + 9. Let l be h(-9). Let w = x + l. Calculate the greatest common divisor of 34 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 102654602 to the nearest integer?\nAnswer: 10132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7\/5)\/c**(2\/15))**(-2\/11)*(((c\/((c\/(c\/(c\/c**(1\/2)*c*c)*c)*c)\/c))\/c)\/c)**(-4\/9)*(c\/(c**3\/c))\/(c**2*c) assuming c is positive.\nAnswer: c**(-1292\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -71 > -72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -286 + 264. Suppose 5*k + 7*v = 4*v + 24, -24 = -3*k - 5*v. Let x be r\/(k + -4) - 4. Solve 5*q - x = -4*n, -4*q + 0*q + 10 = n for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*r*u*y**5 - 13255*r*u*y**2 - 5*r*u*y + 529*r*u + 6*r*y + r - 2*u*y**2 - 6 wrt y?\nAnswer: 80*r*u*y**3 - 26510*r*u - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w - 5*w - 3*w)*(21 + 5 - 11 + 22).\nAnswer: -259*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/84*1356\/(-15). Let j = 1479\/160 + 5\/32. Let z = p + j. Is 1 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13286221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - -1 - (-154)\/11. Let l = 19 - h. Let x(u) = -2*u**2 + 8*u - 4. What is x(l)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 123 (b) -3 (c) 1\/152 (d) -1\/5 (e) 2\/23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-415*b**2 - 427*b + 427*b)*(0*b**3 - 3*b**3 + 6*b**3).\nAnswer: -1245*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0543 - 0.054661. Round a to 5 dps.\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115264 - -427165. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 - -34.312?\nAnswer: 35.212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2988005 is divided by 3958?\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -41*p**4 + p**3 - 744*p**2 - 1621013*p?\nAnswer: -492*p**2 + 6*p - 1488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25366479?\nAnswer: 3, 8455493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 s when four letters picked without replacement from jssjss.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -3, -5\/4, -13?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 192 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (9 - (-4 - -4) - 10)*0\/2. Let j be 4 + ((-2832)\/(-100))\/(-6). Is j != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -0.061, -1, 3, -1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-1\/7)\/((((o**(4\/7)\/o)\/o)\/o*o)\/o)*(o*((o*(o*o*o**6*o*o)\/o*o)\/o*o*o)\/o*o)\/(o\/o**9) assuming o is positive.\nAnswer: o**(163\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/10)\/(12\/(-30)). Let n(d) be the first derivative of 2\/3*d**3 + k + 5*d + 3*d**2. Give n(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((20\/(-8))\/(-5))\/(5491\/(-1156))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -5*a**2 - 63460*a - 201358580 = 0.\nAnswer: -6346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3209?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(256)\/sqrt(8).\nAnswer: 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**4\/24 - 20*o**2. Let l(v) = 2*v - 2. Give -l(z) - 5*u(z).\nAnswer: 3*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 5*y**2 - 14*y**2 + 3*y**3 + 3*y + 7*y**2 = 0. What is y?\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31928 to the nearest integer?\nAnswer: 179","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - i + 6 = 0, -67*h + 62*h = 5*i - 15. Let y be 0 - h - 608\/1064. Find m such that 0*m**2 + y*m**4 - 6\/7*m - 3\/7 + 6\/7*m**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y - y - 2*y + y - 2*y + 3*y + (5*y - 2*y - y)*(0 - 1 + 2) + 113*y + 17*y + 77*y.\nAnswer: 212*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((13\/13)\/(1\/(-2)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63*g - 29 - 223 = 0. Solve 34*i + 2*w + 4 = 33*i, 4*i + g*w = -12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(60)\/(sqrt(36)\/sqrt(3)) + -5 + -5*sqrt(5) + 0 + (sqrt(20)\/sqrt(4)*2 - sqrt(405)*1)))**2.\nAnswer: 3960*sqrt(5) + 22680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5880)\/(-196) - (-3)\/(-18)*0?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 28*r**2 - 13. Let t(i) = -28*i**2 + 21. Let j(y) = -3*s(y) - 2*t(y). Let n(x) = -225*x**2 - 25. Give 25*j(m) - 3*n(m).\nAnswer: -25*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 84186 and 216.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 50465434 - 11180.\nAnswer: 50454254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 18284 = -5*j - 18281, 5 = -5*b - 5*j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 4, 2*h + 15 = 2*a + 85. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -14*d + 72. Let m be k(5). Suppose 6*f + o = m*f + 192, o = -f + 51. Is f != 46?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 456 and 592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 18*s + 186. Determine p(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (160\/(-36))\/(-10) - 4200\/216\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 73 + -27. Calculate the remainder when q is divided by (10*(2 - 5\/2))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31167 less than or equal to -31167?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the second derivative of s**3\/2 - 22*s - 1. Let y(r) = 17*r. Give y(q(d)).\nAnswer: 51*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/3 - 2)*-3. Suppose 11 = 5*d + 4*q, 5*d - 17 = 2*q - 0. Let k(f) = 2*f - 3*f + 0*f**3 + 12*f**3 + 1 - 5*f**d. Calculate k(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*p = 42*p - 16 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r - 5*a + 12, -5*a + 3*a + 20 = 5*r. Suppose r = -b + 4*j, -3*b - 5*j = b - 68. Solve 2*q - b = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 + x**3 + (-3 + 3 - 2)*(x**3 + 4*x**3 - 3*x**3) - 37*x**3 - 15*x + 15*x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 3*z + 39, 4*z + 2*d = -22 - 30. Let l(f) = f + 2. Let w(b) = -2*b - 4. Calculate z*l(c) - 6*w(c).\nAnswer: -c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 80*d**2 - 2*d - 1. Let m be p(-1). Let w = m - 80. Solve -16 = -3*i - w for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 13 and -24140 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 7*c**2 - 5 + 7 - 4*c**2 to the form t + i*c**2 + f*c and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*a + 12*a - 468 = 92*i, 0 = 4*i + a + 16 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1926\/5501, 4, -6?\nAnswer: 1926\/5501","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/3)\/(11*4\/16)\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -131, -69, 19, 133, 273, 439?\n\"Answer: 13*l**2 + 23*l - 167","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1076 + 831?\nAnswer: 1907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**4 + 8*g**3 + 6*g**2 - 28*g + 16.\nAnswer: -2*(g - 4)*(g - 1)**2*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84.89032ms to microseconds.\nAnswer: 84890.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 6*y = -5. Solve 2*j + 4 = -5*t, j + 2 + 0 = -y*t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 3*y**2 + 115*y + 583. Determine p(-33).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/27 and 85\/6.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8442*b - 38506 = 223196 for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5.9 - -5.7. Which is the nearest to x? (a) 0.4 (b) -10 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 194450, 194629, 194808?\n\"Answer: 179*a + 194271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 9*o**2 + 21*o - 44. What is the hundreds digit of a(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15798 + 221071\/14. Let j be (2 + -1 - (10 + -7))\/(-2). Find the common denominator of u and (-3565)\/(-2944)*j\/5*2.\nAnswer: 448","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -2, 2, -5, 269 in decreasing order.\nAnswer: 269, 5, 2, 0, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7443468\/5 + 742\/5*r**3 - 18450*r**2 + 3903282\/5*r - 2\/5*r**4.\nAnswer: -2*(r - 123)**3*(r - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -6265*u**3 + 3*u**2 + 9*u + 6. List the prime factors of z(-1).\nAnswer: 5, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1168, -5, 1?\nAnswer: -1168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-317)\/(-4) + (-2)\/8. Let d = x - 713\/9. Which is the nearest to 1? (a) d (b) 1\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 3*y**4 + 36*y**3 + 111*y**2 + 126*y + 48 = 0.\nAnswer: -8, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -1\/150*q**6 + 1\/20*q**5 + 0 + 2\/5*q**2 - 1\/20*q**4 - 1\/6*q**3 - 25*q. Suppose h(b) = 0. What is b?\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-14))\/(22\/154).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.993 - 0.033. Let o = -0.9774 + h. What is o rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/13 at least as big as -59484359?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 80535629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.8 (b) -3 (c) 3 (d) 4 (e) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1245869.\nAnswer: 29, 42961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 - 172198\nAnswer: -172198.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34 + -32. Let x be (-2 - (-2)\/s) + (-536)\/(-552). Is x at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = s + 14. Let y be n(-9). What is the second smallest value in 3, y, 0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 129 - 69. Let r = -59.971 + n. Round r to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 9*b**2 + 2. Let u be d(9). Suppose -5*k = 2*s - 18, -u*s + 3*k - 2 = -4. Suppose 95 = 5*j - s*c + c, 0 = 2*c. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49 or 1093\/22?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 964.827ml?\nAnswer: 0.964827","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 10:50 PM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*k + 5*h - 146 = 0, 4*h - 3416 = -4*k - 3528 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -1.46, -19, -0.5, 0 in decreasing order.\nAnswer: 1, 0, -0.5, -1.46, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 2:46 AM?\nAnswer: 12:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - ((35 - 14) + -13)) + 10?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -575 (base 10) to base 8\nAnswer: -1077","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q + 14. Let j be (-5 - 459\/(-85))*10. Give y(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.061 - -82.939. Let p = y - 81. What is the nearest to p in -1, 0.4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 1 + (1 + 0 + 0)*(1 - 3 + 3) - 2 + 4 - 1 + (-2 + 2 + 1)*(-3 + 2 - 1))*(3 + r**2 - 3).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*b + 6 = 0, -1 - 7 = 4*b. Let i(u) be the second derivative of 5\/12*u**4 + k + 0*u**3 + 0*u**2 - 10*u. Calculate i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -4*o + 273, 5*o + 3*g + 2*g = 345. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3755*9\nAnswer: 3.3795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-150)\/(-108) + (-4)\/18 - 2.\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 2*y - 8. Sort 6, y, -1 in decreasing order.\nAnswer: 6, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -3*w. Let v(r) = -6392*r - 14*r**2 + 15*r**2 + 5988*r. Determine f(v(t)).\nAnswer: -3*t**2 + 1212*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40255 is divided by 13410?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6*44\/(-396)*6\/(-77))\/((-36)\/(-42)).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 1 - 32 + 14*o**3 + 8.\nAnswer: 14*o**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2331300414 (base 5) in base 11?\nAnswer: -3016252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -4*v - 14, -2*v + 5*v = -w - 13. Let b be w + 1 - (-3)\/3. Solve 0 = -5*k - 4*i + 31, -b*k + k + 29 = 5*i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 - 8*l**2 + l + 13. Give w(-9).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1795563 and 855030?\nAnswer: 17955630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**4*d*d**(-1\/2)*(d\/(d*d**(1\/3)))**(-1\/15) assuming d is positive.\nAnswer: d**(407\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffgkkfkmgmfpf. What is prob of picking 1 k and 1 p?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s**2 + 8*s - 3. Let v(k) = -2*k**2 - 5*k + 3. Let p be v(-4). Let z be l(p). Suppose z*x - 3*x = 69. What are the prime factors of x?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 57124, 0.4, 2, 4\/7 in ascending order.\nAnswer: 0.4, 4\/7, 2, 57124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -172*j**2 - 2 + 183*j**2 + 0.\nAnswer: 11*j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/8680 and 59\/8680.\nAnswer: 8680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ursusfi. Give prob of picking 2 s.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 2789258?\nAnswer: -557851.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 490*b + 529. List the prime factors of d(31).\nAnswer: 11, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 280 = -o - 5*w, 4*w - 482 = -2*o. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g + 12, -2*w + 6 = w - g for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 + 829. Let v = y + -755. Does 7 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o + o - 8 = 0. Sort -11, -2, -3, o in decreasing order.\nAnswer: o, -2, -3, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**8\/5280 + o**7\/1155 + o**6\/1320 - o**5\/330 - 5*o**4\/12 + 5*o. Let k(x) be the third derivative of r(x). Factor k(y).\nAnswer: 2*(y + 1)**2*(7*y - 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3 + -8 + ((-147)\/7)\/(-3). Suppose 5*a = 0, 0 = -o - 5*a + p. Solve -2*z - 5*v - 19 = 0, z - o*v - 13 = -0*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from sssppszpsspzsps.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 465281065?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 84308473*a - 221370389.\nAnswer: 84308473","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 - 0.2.\nAnswer: -0.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 105*y**2 + 7*y. Let p(q) = -35*q**2 - 2*q. Calculate -7*p(i) - 2*r(i).\nAnswer: 35*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13*a**3 + 336*a**2 - 2*a + 1256?\nAnswer: -78*a + 672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1868618 and 372.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + y = -3, -4*y = -2*l. Suppose 1017 = l*s + 219. What is the greatest common factor of 14 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -4*c + 48. Let d be k(7). Let z = 80 + d. 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: What is next in -94745, -757817, -2557589, -6062411, -11840633, -20460605, -32490677, -48499199?\nAnswer: -69054521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -58824, 3 in decreasing order.\nAnswer: 3, -1, -58824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 115228698?\nAnswer: 2, 3, 13, 1477291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11.5 + 12. What is the third biggest value in 1\/14, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*k**3 + 67 + 5*k**3 + 183 to the form l*k**3 + c + s*k**2 + y*k and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9 + 0 - 11)*(-w + 5*w - 2*w) + (5 - 2 - 9)*(-4*w - 7 + 7) in the form q + f*w and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*-6*(13*(-25)\/1950)\/((-6)\/(-4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-45725)\/20)\/(-5) - (-2)\/(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10 - 9)*(46 - -4). Let c be (-1 + 87)\/(j + -48). Solve -8*q - c = -3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25\/(2000\/420)*(78\/36)\/(-13).\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120502784 and 20?\nAnswer: 602513920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-9)*15\/75?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34 and 102697?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 6*g**2 + 9*g - 4. Let k = 26 + -7. Let s = k + -12. What are the prime factors of u(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -38 (b) -4 (c) -3 (d) -219.611\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 25*x. What is m(-13)?\nAnswer: -325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3570 and 2310?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a - 81*a = 3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2364*k - i + 186 = -2373*k, 4*k - 2*i = -78 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 161, 275, 327, 323, 269, 171, 35, -133?\n\"Answer: p**3 - 37*p**2 + 218*p - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5347*d**2 + 48124*d + 46. What is s(9)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20477, 1, -1 in descending order.\nAnswer: 1, -1, -20477","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*u**3 + 112 - 24*u**3 - 112 - 118*u**2 wrt u.\nAnswer: 450","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*i + 16 - 5 = 0, n + i - 8 = 0. Suppose 3*h - 9 = n*g, -g = -4*g + 3*h - 9. Which is smaller: g or 2\/359?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/10? (a) -11 (b) 0.03 (c) -6 (d) 1 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -17*s**2 - 5*s + 3. Let x = 475 - 479. Let n(c) = 6*c**2 + 2*c - 1. What is x*q(r) - 11*n(r)?\nAnswer: 2*r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 5 = 0, 2*x = 7*x - 4*j - 5415. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*h + 6*h. Suppose -h*t - 2*r - 3*r + 70 = 0, -3*t + 18 = -3*r. Suppose t*l = 5*l + 20. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -3 and -2\/104199 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -6, 2, -3, -8, -1, -6.6 in decreasing order.\nAnswer: 2, 0, -1, -3, -6, -6.6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -7*o**2 + 3 - 2*o + 3*o - o - o**3. Let p be c(-7). Find the first derivative of -5*a**p + 2*a**3 - 5 - 1 wrt a.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2169 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - x + (2 + 1 - 1)*(4 - 4 - 2*x) + 5*x - 4*x + 0*x + 4*x - 3*x + 0*x - 3 + x + 3 + 2*x - 4*x + x)*(2*x - x - 2*x)*(3*x + 0*x + 4*x).\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/11? (a) 3\/7 (b) 15924 (c) 5 (d) -11\/2 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, -2, -8, 181375.\nAnswer: -8, -5, -2, 5, 181375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10\/6459 + -315241\/807375. What is the common denominator of f and 7\/90?\nAnswer: 2250","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-1 - 2) - (-10 + -16 + 38)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55 - -21. Let k = v - -23. Let i be -1 + 0 + k + 12. Solve i = 3*l + 3*m, 4*l - 4*m + 19 = 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 95309238 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 2*c**3\/3 - 3*c**2 - 2*c + 3. Let g be a(5). Suppose 0 = 2*j + j - g. What is the least common multiple of j and 5?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -260 - -264. Suppose o + 1368 = -2*l + s*l, -5*o = 0. What is the tens digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -72559210, -72559214, -72559218, -72559222, -72559226, -72559230?\n\"Answer: -4*h - 72559206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 252*m + 1 + 11*m + 764*m + 694*m.\nAnswer: 1217*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r - 5*c - 38, -3*c - 42 = -5*r. Suppose 0 = -3*k - 1 + 10. What is the remainder when 2\/r + 14\/3 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4210*r + 53*g - 48*g + 42 = 4214*r, 0 = -5*r + 2*g + 27 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5\/4, 1635, 2\/15 in descending order.\nAnswer: 1635, 2, 2\/15, -5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-8) - 180895\/(-22).\nAnswer: 3, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52 - 23 + 290 = -36*t - 185 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(-272)\/(-1224)*(1 - 7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010001 + 10?\nAnswer: 10010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 25\/28 (b) 1.8 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -728.1, 1, -0.5?\nAnswer: -728.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.054 + 2.346. Let p = -12.6 - l. Is 0.1 != p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10066919 - -7?\nAnswer: 10066926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4901997 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, h: 4}. What is prob of sequence rrrr?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 times 4298.1\nAnswer: 38682.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100101010 - 101?\nAnswer: -1100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4.2, -0.04, 37, 1\/5 in decreasing order.\nAnswer: 37, 1\/5, -0.04, -4.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1863 to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.115212 * -1.6\nAnswer: 0.1843392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do -2639066 and -2639067 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-1)*2\/5. Suppose -3*d = -8*d + 3*j - 1, -i*j = 6. Let r(y) be the first derivative of y**2\/2 - 2*y - 2. What is r(d)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (sqrt(204) - (sqrt(204) + sqrt(204)*1)))\/sqrt(12) + 0.\nAnswer: 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 283 - -18710?\nAnswer: 20103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -8. Let l = 19801 - 19801.2. Which is the nearest to -0.03? (a) h (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11.4 + -8.1. Let f = u - 3. Let r = -28.1 - -28. Which is the smallest value? (a) f (b) 1 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 2458*m - 5947. Is c(56) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2.7 - -0.3. Let q = -2 + t. Let y = 14\/5 - 3. What is the nearest to 1 in y, 0.5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = i - 2. Let w be 12\/2 + -3 + 1. Let r be (2 - -1)\/(6\/w). Suppose -5*h + 4*l = 2, -r*h - 2*l - 6 = -h. Let p(v) = v - 1. What is h*p(b) + n(b)?\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b. Let a(y) = y**3 - 5*y**2 - 2*y + 1. Let k be a(3). Let u = k + 16. Let x(c) = -3*c - 2*c + 2*c. Calculate u*i(z) - 3*x(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -4*l + 4 - 3*l + 0*l + l**2 - 29 - 11*l**3. Find the second derivative of p(z) wrt z.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + 2 + 4 + 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 105 and 2170.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*d = -858 + 378 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + y = -9 + 5, 4*w + 4*y - 32 = 0. Sort w, -4, 0, 3 in decreasing order.\nAnswer: w, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*y = -75*y + 371. Solve -5*l = -4*j + y, 16*l - 21*l = 4*j - 17 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:50 PM and 10:32 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*w + 125 + 46, -5*g = -4*w - 139. Let j = 98 - 86. Calculate the remainder when g is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 2:36 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/19)*h*h**4)**(3\/11))**50 assuming h is positive.\nAnswer: h**(13950\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5*s = 0. Suppose 3*y + 4*y - 140 = s. What is the tens digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39585.\nAnswer: 3, 5, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 47153 to the power of 1\/2, to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.4 - -0.6. Let q = -0.1 + r. Let u be 0 + 2\/(-5) - 0. Which is the closest to 0? (a) -0.2 (b) q (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*p - 528 = -884. Let j be ((-3)\/(-2))\/(3\/4). Suppose j*y - 338 + 94 = p*z, -4*z - 371 = -3*y. Does 28 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 192649 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l + 304 = -632. Let q = l - -138. What is the remainder when q is divided by 20?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 AM and 7:51 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p + 3. Let i(y) = -2*y + 7. Suppose 12 = 3*l - 0*l. Let d be (4 - 16)\/((-9)\/6). Let x be (-60)\/d*l\/6. Determine x*a(r) + 2*i(r).\nAnswer: r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**3 + 46*z - 21*z - 25*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (3 + sqrt(3))**2*1 - 1*sqrt(3)*-4) + (4*sqrt(120)\/sqrt(4))\/(5*-3*sqrt(10)) + 5.\nAnswer: -7 - 19*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2077? (a) 5 (b) -2\/13 (c) -46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 17*y - 157. Let l be n(-24). Sort l, 5, -3, -20 in ascending order.\nAnswer: -20, -3, 5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1476, 1651, 1826, 2001, 2176?\n\"Answer: 175*n + 1301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 2. Suppose 0 = t - 3*u - 3, -3*t + 5*u - 3*u = -2. Suppose -7 = -h - t*h. Calculate the remainder when h is divided by l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -18*g - 1. Let i(d) be the second derivative of -d**4\/6 + 11*d. Calculate i(x(c)).\nAnswer: -648*c**2 - 72*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of 0*a**6 + 230\/7*a**7 + 0*a**5 - 61 + 1\/3*a**3 + 0*a**4 + 0*a + 2*a**2. Find the third derivative of n(p) wrt p.\nAnswer: 27600*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.262 - -0.562. Which is the third biggest value? (a) -0.4 (b) 53 (c) 3\/7 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2792 to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.19525516935 rounded to five dps?\nAnswer: 0.19526","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2)\/y**(3\/11))\/((y**2*y)\/y**(2\/7)))**35 assuming y is positive.\nAnswer: y**(-1915\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 4*w = 42954, -4*w + 42958 = 2*u - 9*w. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of -97*j**4\/12 + 37*j**3\/3 - 24*j. Find the second derivative of y(m) wrt m.\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56037520 a multiple of 605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 times -0.36?\nAnswer: 4.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534627415?\nAnswer: 5, 7, 19, 617, 1303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 103592157 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5801308 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*y + 9. Suppose 2*z - y = z. What is the units digit of z\/(-2) - (-30)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/494 and 49\/3366.\nAnswer: 831402","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -106478 or -106471?\nAnswer: -106471","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/5787408 and -89\/157706868.\nAnswer: 630827472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -5*d. Let j(o) = 6*o + 1. Let k be j(-1). Let s be 3\/(3 - 4) - k. Give w(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 489\/81*10*-12. Let g = f - -182317\/252. What is the common denominator of g and -5\/18?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -3*k**3\/7 + 810*k**2\/7 - 55476*k\/7 + 107736\/7 = 0.\nAnswer: 2, 134","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p - 8 = 2*y, -2*p - 4*y + 26 = 0. Suppose -3 - 5 = c. Let v = 17 + c. Calculate the least common multiple of v and p.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*4 + (142 - 128).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -493360 (base 12) to base 11.\nAnswer: -741323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -59.94 + 60. Which is the third biggest value? (a) 5 (b) -1\/2 (c) y (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 + 18054189?\nAnswer: 18054210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**3\/9 - 214*t**2\/9 - 434*t\/9 - 218\/9 = 0. Calculate t.\nAnswer: -1, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 326020534 divided by 1.\nAnswer: 326020534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/251, 5, -0.5?\nAnswer: 2\/251","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*5.3.\nAnswer: 1.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 8*a + 17. Let v(j) = 2*j + 2. Let m(y) = -10*y - 8. Let i(g) = -m(g) - 6*v(g). Let l(b) = -b**2 + b + 3. Let o be l(-3). Give o*i(f) - 2*s(f).\nAnswer: 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1301604 rounded to the nearest one hundred thousand?\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -23*a**3 - 7*a**2 - 7*a. Let l(v) = 103966*v + 6*v**2 + 103962*v + 23*v**3 - 207922*v. What is -7*l(g) - 6*y(g)?\nAnswer: -23*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, k: 1}. What is prob of picking 1 k and 1 o?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 45*g**2 - 126. What is the hundreds digit of t(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (799\/(-235))\/((-3)\/(-5))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3061367 + 4?\nAnswer: 3061373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 2*n + 45. Let m(x) = 2*x + 60. Let h(j) = 4*g(j) - 3*m(j). Let a(l) = 15*l**2 - 9*l. Calculate 2*a(p) + 9*h(p).\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-3\/10)*t*t))\/t*t*t**(5\/4)\/t*t*(t\/t**(-2\/11))\/(t\/((t\/(t*t*t**7*t*t))\/t)) assuming t is positive.\nAnswer: t**(-2479\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 73, -5, 4\/7, 5, -69?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 55, 220, 385, 550?\n\"Answer: 165*l - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-5))\/(-1)*5. Suppose -5 - 1 = -b - v*y, -b - 2*y + 5 = 0. Solve -w - 23 = 4*x, -4*w = -b*x - 0*x - 3 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3*-2*3\/9. Let p be 2 - (1 - 12\/u). Suppose p = g - 1. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-4 + 8)) + (1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 240 + 4 = 3*g, 0 = -3*t - 2*g + 160. Let h be ((-48)\/7)\/(-2) + t\/98. Solve -2*y = h + 2 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1861*y + 38136 = 105140 + 122818 for y.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 14*h**2 - 32*h + 4. Suppose 3*j = f - 10, -j = -4*f + 86 - 24. Let b be x(f). Factor -5*g**b + 10*g**3 - 21*g - 16*g + 37*g.\nAnswer: -5*g**3*(g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 - 12315040?\nAnswer: -12315043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -8127*d. Let y(w) = -2455*w**2. Determine m(y(l)).\nAnswer: 19951785*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the third derivative of -86*y**2 + 0*y**3 + 0*y**4 - 1\/280*y**6 + 0*y - 3\/28*y**5 + 0. Find k, given that o(k) = 0.\nAnswer: -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28383 + -28357. What is the remainder when 1161 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 AM and 1:45 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000480843 to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -146 + 119. Let y = -6 + 12. List the prime factors of y\/27 + (0 - 318\/q).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-88)\/28 + (-6)\/(-42). Let k be a\/5 + 0 + (-3 - -6). Find s such that -k*s**3 + 0*s - 8\/5*s**2 + 0 + 4\/5*s**5 + 0*s**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.8891 + -5.8891. Let x = 6 + -6.8. Which is the biggest value? (a) x (b) 1\/4 (c) f (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5, -5*d = -5*t - 4 - 111. What is the common denominator of 13\/8 and ((-18)\/16)\/(d\/(-69))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 484473 and 484114 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 2724.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 5*m**2 + 1. Let f be g(-1). Let i = -14.22 - -14. Let q = 0.42 + i. Which is greater: q or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 5*i**2 - 3*i + 1. Let c be n(1). Let v be (c\/(-12))\/((-156)\/96). What is the closest to 2\/7 in -5, 2\/3, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2501448 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3.3972 = 0.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -23648 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*(-7 - (-8 + 3))\/6. Let s(a) = 30*a + 24. Let w(f) = -f - 1. Give n*s(c) - 24*w(c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + 2*sqrt(171))*5*3*-6)\/(1*-5*(sqrt(9) - ((-1*sqrt(441) - sqrt(441)) + sqrt(441) - sqrt(9)))).\nAnswer: 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16783 (base 9) in base 3?\nAnswer: 120212210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes after 6:52 PM?\nAnswer: 3:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -o - 1. Suppose -o*k + t - 4 = k, -5 = 5*k - 4*t. Let b = 1 + k. Solve b*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -7.87.\nAnswer: -23.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the first derivative of s**2 + 287*s + 11. Let x be i(0). Suppose x = q - 4. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 - u + 5. Let i = 44 - 38. Suppose -y = i - 24. Calculate the remainder when q(-3) is divided by y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + 1622?\nAnswer: 161c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/7, 7\/55, -1 in increasing order.\nAnswer: -3, -1, 7\/55, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2009438 to the nearest integer?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 7 - 21*y - 10 + 123*y + 54*y + 0 in the form x*y + c and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + 50. Let x = -17 + n. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 6*d**2 + 44*d + 41. Calculate v(0).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 divided by 9.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12647 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 6 = 3, -61 = -2*p - k. What is the lowest common multiple of 16 and p?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106dd11 (base 14) in base 16?\nAnswer: -76fdfb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -196, -235, -274?\nAnswer: -313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.124115 years?\nAnswer: 0.005124115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 327 and 602799?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -s + 3, 13 = 4*s - k - 9. Suppose 3*f - 8 = s*z, 3*z - 2 = -4*f - f. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 171 or 169?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-102)\/(-544) - 600\/(-128)*(-35)\/(-21)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 3. Suppose -m*a = 20, 2*w + 3*a - 22 = 7*a. Suppose 0*f - 4*f - 12 = 0. Sort f, 5, w.\nAnswer: f, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6 - 26 = -2*p, 0 = -5*p + 4*z + 16. Suppose 4*m = 5*y - 44, -3*m - 3*y + 4*y - 22 = p. Let c(j) = 0*j - j - 938 + 944 + 3*j. Determine c(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, 2\/3, 0.2, 1\/10, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 4*u - 3702*u**2 - u + 17949*u**2 + 6*u)*(-6*u**3 + u**3 - 3*u**3).\nAnswer: -113976*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2. Let q(j) = -3*j - 1. Determine g(q(z)).\nAnswer: 27*z**2 + 18*z + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 420 is divided by 47.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 - -72 - (1 - -9 - 0)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 93 and -186.50759.\nAnswer: -93.50759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 l when three letters picked without replacement from {z: 9, l: 5}?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of j**2 + 2. Let m(d) be the second derivative of 0*d**2 + 0*d**3 - 1\/12*d**4 + 0 - 8*d. What is f(m(i))?\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + (-2 - -5) - (20 - 8).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 30, -4, 3, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 627154 to the power of 1\/3, to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 114048 and 4080?\nAnswer: 9694080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 13 = -5*a, 47 - 46 = 2*d + a for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 425600 and 1951775.\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/1380 and 89\/15?\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000213313 (base 4) in base 2?\nAnswer: 100000000100111110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2372186 is divided by 725?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*-2*1\/2. Suppose 5 = o - a*o. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(-5\/6)*s))\/s**(4\/13) assuming s is positive.\nAnswer: s**(-167\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4204305 divided by -66735?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 18501087?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 107 divide 20814735?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**4 - 20*g**3 + 12*g**2 + 8*g - 2. Let p(d) = d**4 - d**3 + d**2 - d - 1. Let i(v) = 6*p(v) - z(v). Factor i(u).\nAnswer: 2*(u - 1)*(u + 1)**2*(5*u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/(-3))\/(4940\/(-1254) - (-8)\/2). Let v be ((-4)\/6)\/(2\/36). Which is smaller: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 89008279 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -131456, -131284, -131106, -130922?\n\"Answer: 3*t**2 + 163*t - 131622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2240 is divided by 401?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(832) - (sqrt(832) - sqrt(832)*-1))*4 + (-5 + sqrt(468)*1 - sqrt(468))*-1)**2.\nAnswer: -1280*sqrt(13) + 213017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -472*b + 1109*b + 6*b**2 - 637*b. Let d(q) = 4*q + 117. Determine u(d(z)).\nAnswer: 96*z**2 + 5616*z + 82134","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 246, 255, 278, 321, 390, 491, 630, 813?\nAnswer: 1046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 34. Let k = 17 + t. Suppose 0 = -3*y - 0*y + 6. Which is smaller: y or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 5 (c) -34 (d) 33\/5 (e) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -65, -130, -191, -248, -301, -350?\n\"Answer: 2*x**2 - 71*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - (1 - (-4 + 10))) + -11 + -10\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-16)\/(-64))\/(2\/2168)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39.2 and 13?\nAnswer: -509.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 31 - 25. Let o(t) = 41*t**3 + 2*t**2 + 1. Is o(c) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**2 - u**2 + 0*u**2)*(340 - 167 + 22 + 306 + 0*u - u).\nAnswer: -u**3 + 501*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3435327 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -6*c - 507. Let y = -57 - c. What are the prime factors of y?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 95\/19 + -7*1. What is the smallest value in 1\/3, 3, w, 0.02?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 1 (c) 1.1 (d) -3 (e) -30 (f) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 4:25 PM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6.834249mm?\nAnswer: 0.6834249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((55728\/(-215))\/(-36))\/(12\/(-20)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(-20))\/c*c)**(-2\/9))**(4\/5))**(3\/35) assuming c is positive.\nAnswer: c**(152\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jhhuhuruuhu. What is prob of picking 3 h?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 6*a - 15. Let o be (15\/9)\/((-4)\/(-24)). Let z = 18 - o. Let n be g(z). Put n, -7, -2 in descending order.\nAnswer: n, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l - 147985 + l**2 - 7*l + 147985.\nAnswer: l**2 + l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 68988 by 6.\nAnswer: 11498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 3*v - 121. What is q(13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 6 + 4 = 0. Suppose a + 4 = 2*j. Differentiate -1 - j*d**2 - 2*d**2 + 3*d**2 wrt d.\nAnswer: -4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from {o: 2, y: 1, s: 7, l: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 110*k**4*x**2 - 56*k**4 + 5*k**3*x**3 - 7804*k**2*x**3 - 5*k**2 wrt k.\nAnswer: 2640*k*x**2 - 1344*k + 30*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 319\nAnswer: 15\/319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g - 4. What is the least common multiple of n(3) and 36?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 143409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n + 37*i - 35*i - 8 = -30*n, 2*n - 3*i = -10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-755061 - 25*y - 755262 - 21*y + 1509958)*(0*y + 2*y**2 + 0*y).\nAnswer: -92*y**3 - 730*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 67 = -5*t + 17, 0 = 2*h + t - 5. Solve -3*n - 13 = -5*f, -4*n - h*f = -21 - 20 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 5*v - 2, -2*a + v = a - 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 40 + -23. Let i = 1506 + -1510. Let d = k + i. Calculate the greatest common factor of d and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**2\/13 + 1528546*x\/13 - 3057100\/13 = 0.\nAnswer: -764275, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 10:58 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -3144 smaller than -2613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-25)\/(275\/66)*2\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13\/16 - -59\/112. Let s = -0.1 + 0. Let d be 11*44\/363 - (2 - (1 - 0)). Which is the closest to v? (a) 0.1 (b) s (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 10*i - 8*i**2 + 14 + 3 - i**3 - 6. Let p be n(-9). Suppose -168 = -5*a - p*a. Calculate the greatest common divisor of a and 264.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*j + 3*k - 61, j - k - 5 = 0. Let c be j + 12\/(-18)*9. What is the greatest common factor of c and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 193572966 to the nearest integer?\nAnswer: 13913","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11339*w - 670985 - 428898 = 0 for w.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 996 and 324032?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(68) + (sqrt(68) - (3*sqrt(68) + sqrt(68))*-2))\/sqrt(4).\nAnswer: -30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(2\/7)*u*u*u)\/u)**30)**(-1\/2)\/(u**(-2\/9)*u*u**(-2))**(7\/5) assuming u is positive.\nAnswer: u**(-10261\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4 - 27*q**3 - 7 + 28*q**3 + 3*q + 6*q**2 + q**2. Let s be x(-6). Suppose -v + 26 = s. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**2 - j - 4. Let x be t(-3). Let d = x + -11. Find the third derivative of 2*k**2 - k**6 - 2*k**6 + 2*k**d wrt k.\nAnswer: -120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 265957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 13271888*g**3*q**3 + 6*g**2*q**3 + 228727*g**2 + q**3 wrt g?\nAnswer: 79631328*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/56)\/(66\/(-44))*-88.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 5:34 PM?\nAnswer: 7:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(((v*v\/(v\/((v\/(v\/v**(25\/3)))\/v)*v))\/v)\/v))*v**6*v\/(v\/v**(-28))*v**39)**(3\/8) assuming v is positive.\nAnswer: v**(67\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/3)*v**(2\/13))**(2\/11)*(v\/((v\/v**6)\/v)*v**(-1))**(-2\/71) assuming v is positive.\nAnswer: v**(-7988\/30459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -932389\/50 or -18647?\nAnswer: -932389\/50","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 - 13. Let y(x) be the second derivative of x**5\/20 - 7*x**4\/12 + 5*x**3\/6 + 9*x**2\/2 - 11*x. Let k be y(p). Solve -k*c + 2*c = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 3 = -52 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2)\/(1\/4). Let j(v) = -3*v - 6. Let d be j(l). Let r = -896\/5 - -180. What is the second biggest value in 6\/5, d, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -76110*o**2*s*y**3 - 5*o**2*y**3 - o**2*y**2 + 22*o**2*y + 31*o*y**3 - 11*s*y**3 - y wrt s?\nAnswer: -76110*o**2*y**3 - 11*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6404 + -70472\/11. Is d less than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 - 2*c**2 + 24*c + 52. Let z be h(-2). Solve -z*i = -5*y + 25, 2*i + 14 = 3*y - 1 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -11 in decreasing order.\nAnswer: 3, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = j. Let s be (3\/9)\/(14\/(-90)) - (-3)\/21. Sort s, j, -1, -5.\nAnswer: -5, s, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 4*h - 5, -3*b - 2*h = -4*b + 5. Let g(a) = 4*a - 7. Let i be g(b). Suppose 35 = i*f + 3*z - 120, 15 = 3*z. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 186*i**2 + 188*i**2 - 377*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 698482000 to the nearest one million.\nAnswer: 698000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 - 3*c - 5. Let y be t(-3). Let r(p) = -p - 3. Let b be r(y). Determine k, given that -1\/4*k + 1\/4*k**3 - 1\/4*k**b + 1\/4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -185 + 185.4. What is the second biggest value in 14, l, 2\/7, 2\/11?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*i - 3*i, 3*p - 3*i - 21 = 0. Suppose 4*d - 60 = p*d. Let b = 156 - d. Does 16 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 42. Let n be -12 + 14 + 13 + f. Which is bigger: 17 or n?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(11) + -3*sqrt(11)) - (sqrt(5) + ((sqrt(5) - sqrt(45)) + -3)**2).\nAnswer: -27*sqrt(5)\/2 - 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.4 - -3.4. Let u = y + -3.1. Let j be (-2)\/14*(-2 + 0). Is u != j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + v = -27, -4*b = -7*v + 2*v - 69. Suppose 0 = -b*u - 4238 + 10838. Is u a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -11, -20, -43, -80?\n\"Answer: -7*k**2 + 12*k - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10047 is divided by 1674?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l**2 - 2*l + 3. Determine h(4).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49307507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = -19*p - 8*p. Sort 17, -5, p.\nAnswer: -5, p, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 3:00 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 3:20 PM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f*f**(8\/5)*f*f*f*f**(-2\/9)*(f**(-1))**48 assuming f is positive.\nAnswer: f**(-1918\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(931)*-6 - sqrt(931))**2 - sqrt(931)*1*6 - ((sqrt(304)*2)**2*-6 + sqrt(304) + (sqrt(304) + -1 + sqrt(304) + sqrt(304))**2 + 5).\nAnswer: -22*sqrt(19) + 27829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.628559l?\nAnswer: 5628.559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 610?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 373837 - 373836.818799. Let m = 0.051 + 0.13. Let l = m - j. What is l rounded to five decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -783*s**6\/10 - 3125*s**3\/2 + s**2 + 2060*s. What is the first derivative of v(u) wrt u?\nAnswer: -28188*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 32*t - 246*t - 2996 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbm when three letters picked without replacement from {r: 1, p: 4, l: 1, g: 4, m: 1, b: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32, 45, 74, 125, 204, 317, 470?\n\"Answer: v**3 + 2*v**2 + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k = -4*t - 67 - 10, 0 = -3*t + 3*k - 57 for t.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 8*u - 51. Let q be r(6). Let t = 4 + -5.2. Let v = t + 0.7. Which is the smallest value? (a) 1\/5 (b) 0 (c) q (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 921 divide 2555775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.172 times -0.06?\nAnswer: -0.01032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -141.815574 to the nearest 10.\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4169 - 202 = -1439*i + 38503 for i.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g + 4*t - 34, -3*t + 6 = -6*t. What is the remainder when 123 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4 * -29.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -579 (b) 0.56 (c) 5\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104 and 11336.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 653*o - 580 + 967 = 554 + 486 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 16, 3, 2 in increasing order.\nAnswer: 2, 3, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42198 and 156?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 20*5\/(-10). Find the common denominator of 19\/16 and 106\/u - (-3)\/(-6).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31791797?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2755 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*y + 32*y = 41*y - 400 for y.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 2*w - 8. Let z be h(4). Let q(i) be the second derivative of z*i**2 - 1\/12*i**4 - 1\/3*i**3 + 0 - i. What is the second derivative of q(b) wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1024446006.9999943 + -1024446131. Let k = 124 + s. What is k rounded to 6 dps?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 41? (a) 1\/6 (b) -9 (c) -4 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 13, k: 5}. What is prob of sequence ku?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(2\/(-2*1)). Let z(b) = 3*b**3 + 2*b**2 - 2*b + 1. What are the prime factors of z(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.9234289 millennia?\nAnswer: 11081.1468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 26, 47, 74, 107, 146, 191, 242?\n\"Answer: 3*q**2 + 12*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i**4 + i**4 - 4*i**4 + (3*i + 4*i**3 - 3*i**3 + 3 + i**3)*(-2*i - i + 2*i)*(2 + 6 - 3).\nAnswer: -17*i**4 - 15*i**2 - 15*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 - 5. Let i = -3930.1 - -3760. Let s = i + 170. Which is the closest to s? (a) z (b) -2\/3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 1 + j**3 - j**2 - j + j. Let w be f(-1). What is the least common multiple of 14 and ((-6)\/(-8))\/(w\/(-8))?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2044*j + 26 - 683*j - 683*j - 25 - 8*j**2 - 678*j.\nAnswer: -8*j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 7 + -4 + -2 + 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -10111000?\nAnswer: -10111110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1100 and 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -1126*h - 6760. Give z(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-1\/2)*p*p\/p**(3\/5)*p\/((p*p**(-4\/7)\/p)\/p)*p**(-3\/7) assuming p is positive.\nAnswer: p**(283\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p\/((p*p*p**25*p*p)\/p*p)*p*p*p**(7\/2))\/(p**5\/(p\/(p*p**(-38)))))**(-28) assuming p is positive.\nAnswer: p**(-322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2\/59531 - -99893024\/178593. Let m = -561 + d. Let h be 9\/21 + 1*-1. Which is the nearest to 2? (a) 1\/6 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**3 - 16*y**2 - 20*y + 12. Calculate u(17).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - (sqrt(110)*-2 - sqrt(110) - sqrt(110) - sqrt(110)))*5)\/(sqrt(490) - sqrt(490)*-2))**2.\nAnswer: 1100\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 31*x + 583 = 13*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -319 (b) -3 (c) 1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -4*j + 5*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -569\/14 at least as big as -1\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*j - 671624. Let s = -2607906 + j. Round s to the nearest one hundred thousand.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 4:59 AM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 450112 and 8643016?\nAnswer: 4328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 12*p - 14. Let m be 4 - (-11)\/((-55)\/900). Let a = -189 - m. Give c(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 211358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 8*f + 9. Let v be h(8). Let w = 19 - v. Calculate the common denominator of 25\/3 and 24\/60 - (-32)\/w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47.25837 meters in kilometers?\nAnswer: 0.04725837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 746 or 6710\/9?\nAnswer: 6710\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -89 - -2515c?\nAnswer: 250c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*u**4\/11 + 149350*u**3 + 224916569604*u**2\/11 + 10264817329504344*u\/11 + 66711810367873008\/11 = 0. Calculate u.\nAnswer: -136902, -13\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 2*z**2 + 3*z - 2. Let y be q(2). Suppose -l = l - 5*p - 117, 3*l + y*p - 118 = 0. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the second derivative of -f**8\/1344 - f**7\/280 - f**6\/240 + f**5\/120 - f**4\/6 - 3*f. Let q(v) be the third derivative of h(v). Factor q(d).\nAnswer: -(d + 1)**2*(5*d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, y: 2, i: 6, n: 3}. Give prob of picking 1 n and 1 x.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 r, and 1 z when three letters picked without replacement from {f: 1, w: 1, r: 2, k: 1, s: 2, z: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a kilometer in centimeters?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lzrlffhrfrozffffz. Give prob of sequence hffz.\nAnswer: 3\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-1 + -76) - (100 - 89)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 151*i**6\/6 - i**5\/5 - 273*i**2\/2 - i + 491. Find the second derivative of u(m) wrt m.\nAnswer: 3020*m**3 - 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 29*h**2 - 38*h - 287. Calculate m(-28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13.5 - 13. Let a be 55\/33*2\/20. Sort a, -3, u in decreasing order.\nAnswer: u, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 131825*l**4 + l**3 + 244624 with respect to l.\nAnswer: 527300*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1228000256.\nAnswer: 2, 7, 171317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2.5, -48\/17, 0, 2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2672 (base 16) to base 5.\nAnswer: 303332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 618393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628359828 is divided by 190.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2725710 (base 8) to base 3\nAnswer: -1102212012121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4*o = -4, 5*k - o + 5 = 24. What is the closest to 1\/4 in -3\/4, -2, k?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/((-1)\/(8\/2)). Let m = -12 + y. What is the nearest to m in -0.4, 0.2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 - 11 - (59 - 27)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504597 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iptp when four letters picked without replacement from {n: 1, p: 5, e: 1, m: 6, i: 3, t: 3}?\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -290bc + -b0b?\nAnswer: -29bc7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 5:09 AM?\nAnswer: 2:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3940.\nAnswer: 2, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 383, 679, 885, 1019, 1099?\nAnswer: 1143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0041083064 rounded to five decimal places?\nAnswer: 0.00411","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*j - 88 = -9*j. Let d(q) = -q + 2. Let u be d(4). Let k be 0\/(u + j) - -2. Put -5, -1, 1, k in decreasing order.\nAnswer: k, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = 48*h - 18*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - (102 - 0)\/(-2) - 1. Let s be (15\/f)\/((-4)\/(-6))*20. Solve 6*r = 8*r + s for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.9 and 0.9141909521399.\nAnswer: 0.0141909521399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, -9, 105\/2459?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6709 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n - 16 + 4. Solve -5*q - n*l - 4 = -3, 0 = 3*q - 5*l + 8 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 2*f**4\/11 + 86*f**3\/11 + 1242*f**2\/11 + 614*f + 836 = 0.\nAnswer: -19, -11, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -68.5 + -15.5. Let h = u + 86.1. Let q = 0.6 - 0.1. Sort h, q, -2\/7 in decreasing order.\nAnswer: h, q, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22333723?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -62 + 756. Let g = 1315 - h. Is 52 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 c when three letters picked without replacement from sssscsssccsssususcc?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 905 - 887. Solve -16 = 4*y + z, -3*y = z + k - 6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301888379?\nAnswer: 13, 47, 71, 6959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 3*u**2 + 32*u. What is the remainder when w(-13) is divided by 49?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-1 + 1 - 3)*(3*r + r - 5*r) - 3*r - 14 + r + 0)*(122*r + 105*r**3 - 122*r) as s*r**4 + v*r**2 + i*r + k*r**3 + z and give k.\nAnswer: -1470","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 10 = -2*d. Suppose -10 + 2 = -4*m, 3*m + 690 = 3*p. Suppose -d*q + p = -0*q + w, 5*q = -2*w + 229. What are the prime factors of q?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 - 53880*z + 15193350.\nAnswer: 2*(z - 26655)*(z - 285)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1742.3 to the nearest one hundred.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(192) - (sqrt(192) - (2 + 1 + sqrt(192))))**2 + sqrt(192) + (3 + 0 + sqrt(192) + sqrt(192))**2)*-5 + -3.\nAnswer: -4883 - 760*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttko when four letters picked without replacement from {t: 7, k: 4, o: 3}.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 2, 11, -0.1468?\nAnswer: -0.1468","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -52, -60, -70?\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that r**3 + 8361*r**2 = 0.\nAnswer: -8361, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1744\/7 or -250?\nAnswer: -1744\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.6 + -1.4. Let b = n - -4. Sort -3\/4, b, 4\/5 in ascending order.\nAnswer: -3\/4, 4\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of -z**3\/3 + 7*z**2\/2 - 6*z + 16. What is o(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 + 66 + 50*r**2 + 51.\nAnswer: 50*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.55892 nanograms in grams?\nAnswer: 0.00000009755892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*a - 51 - 61 - 68 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/30)\/((-17)\/153).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24486 and 726?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -1. Let m(l) = -11*l - 32. Let g(h) = -5*b(h) + m(h). Is 15 a factor of g(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2906*q - 6625*q + 2342*q - 1256*q.\nAnswer: -8445*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 48976398\nAnswer: -1\/24488199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express m - 3*m**2 - 3*m - 2*m**3 - 2*m**4 + 4*m as f + q*m**3 + r*m + x*m**2 + j*m**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -12*s**2 + 32*s. Let k(v) = 100*v - 48*v - 55*v - 10 + 10. Determine k(j(d)).\nAnswer: 36*d**2 - 96*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 3*g + 2*g)*(32112*g + 1 - 32131*g - 9).\nAnswer: 19*g**2 + 8*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-484100)\/(-2350))\/(-9*1\/(-3)*(-2)\/(-3))?\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 21\/8 of a litre?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 4*l - 119. Let j(m) = -m**3 + 18*m**2 - 17*m + 8. Let s be j(l). Solve i + 4*i = 5*k + 5, i - 4*k = -s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**2 + 6*j. Let v(n) = 5*n. Determine -5*a(o) + 6*v(o).\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*-1*((-9)\/3)\/(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -1. Let y = z - 1. Let j = -239 + 238.9. Sort 2, y, j in decreasing order.\nAnswer: 2, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7159 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1377 + 3172. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 29 + 0 + 3\/(-3). Solve 4*q = 2*q - 5*c - 25, 5*q = -c - j for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (4\/(-110))\/(2\/10). Suppose -5*d + f - 5 = 0, f = 3*d - 0*d + 5. Suppose d = -v - 5*h + h - 19, -3*v - 2 = h. Which is greater: t or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -537*l**5\/10 + 68*l**3 + 1280*l. Find the second derivative of p(v) wrt v.\nAnswer: -6444*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21828128 to the power of 1\/2, to the nearest integer?\nAnswer: 4672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 110067227 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 572 and 112484086.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**3\/3 - 4*w**2 + 4*w - 1. List the prime factors of q(-5).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*y + 180 = -132*y. Is 11 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**2 - 16824*y + 6226624 = 0. What is y?\nAnswer: 388, 8024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7515 - 7513.9391. Let m = q + 0.1365. Let n = 1.2 - m. Round n to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -7*h - 46. Let j be o(-6). Let s(c) be the third derivative of -c**5\/60 - 5*c**4\/24 - 2*c**3\/3 + c**2. What is s(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 17 - -14) + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3186578144?\nAnswer: 2, 131, 449, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 21*s - 302. Calculate the least common multiple of (-159)\/(-9) + (-2)\/(-6) and y(16).\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 24*g**2 - 66*g - 654. What is b(17)?\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 2:15 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t. Let g(q) = -5*q + 21. Calculate g(p) - 3*y(p).\nAnswer: -2*p + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 255 - -2004225?\nAnswer: 2004481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.5 + -11. Let t = 3 + d. Let i = -0.2 - t. Is 1\/4 at most as big as i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dllg when four letters picked without replacement from dddlglll.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 3, l: 2, n: 5}. Give prob of sequence llnc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1067\/4 - -9611\/36. What is the nearest to -2\/7 in 3, 5, w, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**3 - 6*r**2 - r - 7. Let m(h) = -h**3 + 6*h**2 + 6. Let w(y) = 6*m(y) + 5*p(y). Let k(z) = z**3 - 7*z**2 + 2*z - 9. Let d be k(7). Give w(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 337 divide 3824730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) - 5*(sqrt(2) - sqrt(10)\/sqrt(5) - sqrt(2)))**2 - sqrt(50)*1)*-6.\nAnswer: -432 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 12 (b) -3 (c) -0.04 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 5 + 8 + 30*f to r + j*f and give j.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -s**5\/60 + s**4\/6 - s**3\/6 - 15*s**2. Give v(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18285462 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2934\/7 + -419. Factor 0 - 2\/7*p**3 - z*p**4 - 1\/7*p**2 + 0*p.\nAnswer: -p**2*(p + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 889*j**3 - 4*j**2 + 7*j - 7. Is f(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 PM and 7:26 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*g = -1 + 1. Let a(x) be the second derivative of -1\/6*x**3 + g*x**2 + 0 + 4*x. Let n(l) = 3*l. Give n(a(b)).\nAnswer: -3*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4313.\nAnswer: 19, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z. What are the prime factors of w(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -29\/524 + -671\/6812. What is the closest to -8\/59 in -0.2, -5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1207\/7705 - 3\/670. Put -1\/4, j, 0.1 in decreasing order.\nAnswer: j, 0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 PM and 1:43 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -82, -163, -242, -319, -394, -467?\n\"Answer: t**2 - 84*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 4*w + 7, -3*j - w = w - 11. What is the smallest common multiple of 5 and j?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -211199428281.88?\nAnswer: 211199428281.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 26*s - 42. What is the smallest common multiple of k(-23) and 117?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from uowzp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/6392 and 21\/3196.\nAnswer: 6392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/6885 and -13\/527.\nAnswer: 213435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13081320271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 143373099\/16 + -8953724. Let l = a + -7097. Let x = 8933\/16 - 558. Calculate the common denominator of l and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 + 1. Let q be 2\/(-4)*2\/(-4). Let o be 3\/2*8\/(-78). What is the closest to b in q, -4, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 5*s**2 - 7*s + 11. Let u be o(6). Suppose u*h + f + 72 - 25 = 0, 3*h = 5*f - 45. Let y(r) = -r - 7. Calculate y(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes before 7:39 PM?\nAnswer: 8:56 AM","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 {a: 1, c: 4, b: 3}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 + (-15 - -6 - (-2 + -5)) - 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 30090760*w**5 - 29642680*w**2.\nAnswer: 1805445600*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**4 + 2*m**3 - 3*m**2 = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -12654*u. Let o(y) = -3*y - 2009. Determine x(o(k)).\nAnswer: 37962*k + 25421886","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 11:59 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -113 - 3*l**3 - 224 + 3*l**4 - 208 - 169 - 18*l**2 + 20*l**2 as n + z*l**2 + d*l**4 + u*l + v*l**3 and give n.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 8310096 divided by -12\nAnswer: -692508","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 33948 and 99548.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llll. Give prob of picking 3 l.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81\/2 of a litre?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 18\/5 of a millennium?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 20 = 5*n - 4*j, j = -n - 1. Suppose -q - n = -2*q. What is the third derivative of 0*h**5 + h**5 + h**5 - 2*h**q - h**2 wrt h?\nAnswer: 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-4) - ((-22362)\/(-4) - -3). Let i = s - -9321. Suppose -i = 7*c - 10*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8583970 divided by 1716794?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 - 10*d**2 - 37*d - 136. Determine w(-7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**4 - 18*i**3 - 105*i**2 - 196*i.\nAnswer: -i*(i + 4)*(i + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 110 and 1124540.\nAnswer: 12369940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - s**2 - 2*s - 1. Let i be x(-2). Suppose i*g - 3*g = 24. Solve 2*t = -2 - g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, m: 1, n: 2, o: 2, k: 2, j: 1}. What is prob of picking 1 o, 1 j, and 1 m?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -57, -4\/9, -3, 6, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2335634 to the nearest integer?\nAnswer: 1528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1330 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -757\/9 - -84. Which is the second smallest value? (a) 5 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 3:02 AM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61817098 or 61817106?\nAnswer: 61817098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 4)*(-3*s**3 - 4*s**3 + 5*s**3) - s**3 + s - s + (3*s**2 - s**2 - s**2)*(0*s + 2*s - s) - 70*s - 75*s**3 + 70*s.\nAnswer: -79*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -597620 divided by 4.\nAnswer: -149405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -3*r**5\/160 + 17*r**4\/32 - 55*r**3\/16 + 117*r**2\/16 - 5*r + 4. Factor c(f).\nAnswer: -3*(f - 13)*(f - 3)*(f - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -148031*r**4 - 174*r - 11 wrt r?\nAnswer: -1776372*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.66 - 3.46. Which is the nearest to j? (a) 0.1 (b) 2\/7 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -6*q**2 + 226*q - 28. What is h(38)?\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 + -1 - (-84 + (182 - 125)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 7*r**2 - 6*r + 3. Let m be b(6). Let x(w) = 2*w - 4. Let s be x(m). Suppose s*y - 3*y = -18. What is the least common multiple of 6 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2382 - 0.1382. Sort -11, -0.02, 2\/15, q in decreasing order.\nAnswer: 2\/15, q, -0.02, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*s + 13806 = -32*s. Suppose -4*x + 897 = -s. Is 52 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23070094 is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 less than -155.2041?\nAnswer: -155.0441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 2*m**5 - 50*m**4 - 828*m**3 + 22168*m**2 + 13904*m - 813120 = 0.\nAnswer: -20, -6, 7, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*p. Let d(z) = 18*z + 122. Let h be d(-11). Let u be 4\/((-144)\/h) + -1. Which is bigger: p or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4748, 7814, 10882, 13952, 17024, 20098?\nAnswer: 23174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -10. Suppose -4*x + 4*l = 12, x - j*x - 2*l = -16. Is (3 - 5) + x + 51 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 8:00 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*i**2 + 9*i**2 + i**4)*(14 - 11*i - 14) + 2*i**5 - 9*i**5 + i**5.\nAnswer: -17*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 196176 and 86864?\nAnswer: 976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2580 - 285*w**2 + 2580 - w to q*w**2 + x*w + u and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24142, -48281, -72394, -96481, -120542?\n\"Answer: 13*z**2 - 24178*z + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((x\/(x*x**(-1\/3)))\/x)\/x)**(-4)*(x**0)**(-46))\/(((x**(-3)*x)\/(x*x**3\/x*x))\/(x**(1\/3)\/(x**(-6)*x*x))) assuming x is positive.\nAnswer: x**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4631209 is divided by 186.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (432\/(-1056))\/((-1128)\/(-44))*(0 - -1 - -3).\nAnswer: -3\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 455\/(-26) + 17 + 6\/2 + 0\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, m: 1, x: 2, r: 4, k: 6}. Give prob of sequence rxkr.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 40*l + 3322. Let t be y(-83). Solve 0 = -9*d + 6*d - 5*q + 23, -2*q + t = 0 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*m + 2 = 0, -4*b + 7*m = 2*m + 17. Let i = 6 - b. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7658314 millilitres?\nAnswer: 0.0007658314","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjiiiijijiijiiiiij. What is prob of picking 4 j?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 11 + (-4 - 13 - (-12 + 18)) + 0.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 12648.6 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-49800)\/42*147\/(-42). Calculate the greatest common factor of 25 and r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.049701 rounded to three dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -5*m - 25, -t - 25*m - 13 = -43*m + 21*m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the second derivative of -1\/60*y**6 + 1\/24*y**4 + 0*y**5 + 12*y - 1\/168*y**7 + 1\/24*y**3 + 0 + 0*y**2. Find i such that w(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -2 + 0*x**2 + 0*x**2 + 2*x - x**3 + 2*x**2. Let r(i) = i**3 - 7*i**2 + 5*i + 4. Let j be r(6). Does 4 divide d(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -358*z**4 - 86567*z**2 + 216731039*z.\nAnswer: -4296*z**2 - 173134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1243 - 1247. What is the closest to -6 in f, 2, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1398239*b + 17473 wrt b?\nAnswer: -1398239","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 2 = 13*c, c - 5*j + 312 = -0*c - 3*c + 58 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21971*p - 7276 = -21799*p + 7516 for p.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 6 - 1048*k**3 + 2064*k**3 - 1017*k**3 + 10*k**2 - 20*k. What is j(8)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 20. Let w be f(-5). Suppose -8*p + w = -23. Suppose 12934 = p*m + 3760. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + y = 0, 3*i = y + 15. Solve -z = -0 - i for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, o: 2, s: 1, m: 1}. Give prob of sequence oso.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*m, 0 = 3*v + 73*m - 70*m. Solve v = -75*r + 79*r + 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 252606825571 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4127*l + 1409518 = -22258*l + 4839568 for l.\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - f + b + 13, 3*f + 19 = -5*b. Let x = -3 - -6. What is the smallest value in f, -0.4, x?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from oovcozccvoccvsbvzzcb.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3012 and 48?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8 - 90\/(-20))\/(1\/14). What is the greatest common factor of 28 and y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15029013?\nAnswer: 3, 1277, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 22?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 + -2 + (-3 - -24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 0.4, 1650, 2.3, -31?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 3*c + 4*q, -4 = 2*q - 4*q. Let j be ((-28)\/c - -2)*-10. Suppose -4*u + 2 = 2*m - j*u, -m - 2 = -3*u. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - o + 348 = -t, 4*o = -5*t + 446. What is the tens digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (0 - 0))*-1. Let c = r + 2. Suppose x - c - 42 = 0. Calculate the greatest common factor of x and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, 5, -592, -5, 4 in decreasing order.\nAnswer: 5, 4, -5, -47, -592","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 24 - 4 = 0. Suppose 2*l - 25 = 3*n - 4*n, -s*n - 2*l + 125 = 0. What is the remainder when 49 is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83959*i**5 - 5490*i + 159066*i**5 - 81413*i**5 wrt i?\nAnswer: -126120*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/95, 1\/4, 5, 0.3 in decreasing order.\nAnswer: 5, 0.3, 1\/4, -2\/95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00039958 to five decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 8 = 5*m, -124*m - 17 = 4*d - 119*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -30947, -123714, -278327, -494786, -773091, -1113242?\n\"Answer: -30923*s**2 + 2*s - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -17691091 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75.899999184 + 75.9. Round z to 7 dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -7, 2 in decreasing order.\nAnswer: 2, -7, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -7, -76, -2\/11, 2, -0.1?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5 + 3*x + 27 - 4*x - 6. Let y be s(0). Solve 2*p + 6 = p + 5*a, 2*a + y = 5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5930 - (-13)\/(-104)*-8 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4388068*y**5 + 270535*y - 15 wrt y.\nAnswer: -87761360*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84346773.\nAnswer: 3, 7, 23, 174631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 25, 4*v = -4*d + 1505 - 445. Calculate the least common multiple of d and 52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2515062, -2515060, -2515058, -2515056, -2515054?\nAnswer: -2515052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 1:11 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 11 + 6)*(-2 - 1 + 1)*(-2 + 1 + 0)*(r - 3*r - 3*r) as j*r + k and give j.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125*m + 17498 + 4447 = 136*m - 30*m for m.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -21, 2, -90 in increasing order.\nAnswer: -90, -21, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10 and 1270?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**5\/120 + 10*f**3\/3 - f**2 - 323. Let o(l) be the third derivative of a(l). Let k(u) = 325*u. Calculate k(o(w)).\nAnswer: -325*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 40 - 24. Let z = -6 + y. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 55*l**2 - 86750530*l + 31545640 = 0. Calculate l.\nAnswer: 4\/11, 1577282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6519.812 tonnes in micrograms?\nAnswer: 6519812000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 27416.36412 and -1.\nAnswer: 27415.36412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 93 and 264.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 35 = -4*h, -2*h - 4*v - 7 - 3 = 0. Let w be 132\/4 - (-4 + 3 + -1). Calculate the greatest common divisor of h and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, v: 1, n: 2, c: 1, y: 2, a: 3}. What is prob of sequence yvd?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.07 - 16.57. What is the closest to 4 in g, 5, 3\/8, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 15a?\nAnswer: -156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 85 - 83. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6 - -b84a57?\nAnswer: b84a51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 17. Suppose 4667 = -p*i + 30*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i. Let s(v) = -648*v**2 + 9*v. Let a(z) = -1297*z**2 + 15*z. Let u(l) = 3*a(l) - 5*s(l). Give p(u(q)).\nAnswer: 651*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 2 - 2 + 11*r + (0*r + r + r)*(-2 - 1 + 4).\nAnswer: 13*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4219433884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -94, -4, 4, -261 in decreasing order.\nAnswer: 4, -4, -94, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w + 262 = -722. What is the highest common factor of w and 51?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/2 (b) -6 (c) -0.1 (d) 0.496 (e) 0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -9*j - 55, -u + 13*j + 3840 - 3770 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 46.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -280528, -281408, -282288, -283168, -284048?\n\"Answer: -880*k - 279648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/(-3) + 1*(-4040)\/(-12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -169735133 greater than -169735135?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -71 - -84. Let f = o - 8. Let q = 1 - 3. Sort q, -1, f in descending order.\nAnswer: f, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 12 = -m. Let t be (m\/(-6))\/1*4. Let k = 3 - t. Solve k = -z - 4 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -198 + 189. Let z be (-495)\/22*1\/l. Determine d, given that -5 - 5\/2*d**4 - z*d + 5\/2*d**3 + 15\/2*d**2 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1501 to the power of 1\/2, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 94\/5*(-10)\/(-20). Which is smaller: 10 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v. Let d(n) = 3*n + 58. Let c(k) = -2*d(k) - 4*o(k). Let r(l) = -11*l. Calculate c(r(i)).\nAnswer: -22*i - 116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-6) - (3 + 1\/(-1)). Sort q, -3\/14, -68.\nAnswer: -68, q, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 140 and 81676.\nAnswer: 408380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**6\/u)\/((((u\/u**(-3))\/u)\/u)\/u))\/(u\/(u*u**8)*u**(-19)) assuming u is positive.\nAnswer: u**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 3*f - 3. Let p(u) = 3*u - 7. Let w be p(5). Suppose w = -3*a - 1. What is x(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 + -50666?\nAnswer: -50664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 63689547 or 63689549?\nAnswer: 63689547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 144.874 and -4?\nAnswer: 148.874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -228132?\nAnswer: -228126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -2.1. Let f = 15 + -5. Let t = -3027 + 3029. What is the nearest to t in f, a, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5355063 + 4?\nAnswer: -5355056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*m - 11*m - 4*m - 9*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4592*d - 4592*d - 5*d**3 - 5*d**2.\nAnswer: -5*d**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 9. Suppose 4*z - 6 = 3*c + z, -l*c - 3*z = 24. Let s(g) = -5*g - 34. Let m be s(c). Is m != -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110100010000110 + -11?\nAnswer: -110100010001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 35 - 44. Let i be ((-2)\/2)\/(-1) + -2. Let t = c - i. Is 4 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12.364 + -7.364. Which is the second smallest value? (a) -10 (b) 0.3 (c) n (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (140*m - 68*m + 18 - 73*m)*(-6 + 1 + 3)*(-2*m + m - 5*m) as d*m**2 + k + w*m and give w.\nAnswer: 216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 + 0.20116\nAnswer: 0.60116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -125*u**5\/4 - 975*u**4 + 860*u**3 + 1948*u**2 + 900*u + 128 = 0.\nAnswer: -32, -2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -316478 or -316480?\nAnswer: -316478","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 37 = 29 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-95)\/114*-12)\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 + 0 - (34 + -32)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.05 - 0.06. Let l = n - -0.0212. What is l rounded to three decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1183*i**5 + 804*i**3 - 46056*i + 12.\nAnswer: -23660*i**3 + 4824*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7065)\/3140*10\/9?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - (-6 + (12 - 27) + 4)) + 32?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + -13. Let w = 15.924 + x. What is w rounded to two dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + 118\/4)\/(8\/(-80)). What is c rounded to the nearest 10?\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r + 16. Let m be o(-13). Suppose 0 = -5*t + 3*i + 815, 4*i - 523 = -m*t - i. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27 - 83*s + 40*s + 42*s)*(9*s + 1197*s**2 + 162*s**2 - 5*s - 4*s).\nAnswer: -1359*s**3 - 36693*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 6*h. Let m(b) = -b. Let z = -22 - -28. Give z*m(n) + o(n).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 8*k + 8. Let x be r(9). Which is bigger: x or 9\/20?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -580 (base 14) to base 3.\nAnswer: -1111110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -2*b - 2. Let h(t) = 1. Suppose 3*p + 15 = 0, -5*l - 7*p = -2*p + 10. Suppose y + 2*y + l = 0. What is y*a(f) - 2*h(f)?\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10587\/(-6147518)*52\/(-3).\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/1164803190 and -71\/18.\nAnswer: 3494409570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -138*v - 693. Let y be f(-5). Suppose -3*g + g = 0. Sort y, -4, g, -5 in ascending order.\nAnswer: -5, -4, y, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-9)\/(-12)*136\/(-306). Let q = -1866\/7 + 267. What is the closest to t in 3\/5, -1\/3, q?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*r - 110*r - 291153 + 292055 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/24 and -87\/858670.\nAnswer: 10304040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-5)\/(-4))\/(2\/(-8)). Let v = 5 + -4.8. Which is the third smallest value? (a) 5\/4 (b) h (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a, 1 w, and 1 b when four letters picked without replacement from {k: 1, w: 2, a: 1, b: 2, i: 2, q: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-126)\/45)\/((-24)\/(-60)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/3 + 4\/(-48))*-28. What is the greatest common factor of b and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*w**2 - 26*w**2 - 26*w**2 - 26*w**2 - 33*w**2.\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u**2\/4 + 18576*u + 1154595 = 0. What is u?\nAnswer: -62, 24830","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1297*c**3 + 1304*c**3 - 2618*c**3.\nAnswer: -17*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*o + 53 - 53 + 72*o - 78*o.\nAnswer: 25*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3155, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4454, 4180, 3900, 3614, 3322, 3024?\nAnswer: 2720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 6*p + 4. Let s be d(-4). Let c be s*((-2788)\/672 + 4). Let q = c - 2\/21. What is the third biggest value in 0, -4, q, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*g = 51*g - 610. Let q(h) = -2*h + 4. Let p(o) = -2*o + 5. Give g*p(s) - 4*q(s).\nAnswer: -2*s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/8 of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -10) + (0 - 4 - (9 - 16)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5851921464 rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - l - 1. Let d(n) = 2853 + 7*n**2 + 6*n**2 - 2844 - 3*n**2 + 6*n. Calculate -d(c) - 6*h(c).\nAnswer: -4*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 296111 plus -1?\nAnswer: 296110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 962 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l - 2*l)*(10*l - 10*l + 3*l**2)*(-l**2 + 9*l**2 + 6*l**2).\nAnswer: -84*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -0.04, 0, 0.207, -140, -3, -3\/5?\nAnswer: 0.207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*h + 4949 = -2251. Suppose 13*l - h = 3*l. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x**2 - 68*x + 66. Let f be z(10). Sort -73, f, 1.\nAnswer: -73, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 356396?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 291\/5 in -1, -0.1, -3, -1\/4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = l - 2*s, -8*s + 13 = -l - 4*s for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 64 = -2*y. Suppose 4 - y = -3*p. Suppose -p*q = -32 - 20. Is q a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tddaaattaat. What is prob of picking 3 a?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2558885 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 10138774?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -630, -1685, -2686, -3627, -4502, -5305?\n\"Answer: w**3 + 21*w**2 - 1125*w + 473","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 x when three letters picked without replacement from {x: 5, a: 3, f: 1}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - m + 0*m)*(24*m + 207*m + 159*m).\nAnswer: -780*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1065145, 1065169, 1065193?\n\"Answer: 24*d + 1065121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - b**2 + 3*b. Let i(f) = 2*f**4 + 10*f**3 + 8*f**2 - 12*f. Let t(n) = -4*a(n) - i(n). Factor t(s).\nAnswer: -2*s**2*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*g**3*j*t - 2*g**3*j + 228*g**3*t + 72*g**3 + 2*g**2*t + 175*g*t + 457*j - 4*t + 3 wrt g.\nAnswer: -36*j*t - 12*j + 1368*t + 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3323 (base 5) in base 15?\nAnswer: -20d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f + 15 = 33 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 116.939 rounded to 1 decimal place?\nAnswer: 116.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -3 - (-1 + 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (5 + -5*(sqrt(343) + 0) - (-4 + sqrt(343) - sqrt(343))*6*5) + 3)**2.\nAnswer: -8750*sqrt(7) + 24200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11533060 a multiple of 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 898223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 13*h + 16. Let r be a(12). Let g be -1*3\/(-7 + r). What is the tens digit of 12\/g + 1 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of -a**7\/504 - a**6\/720 + a**4\/12 + 2*a. Let n(d) be the third derivative of o(d). Find the second derivative of n(t) wrt t.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -136401, -136402, -136403?\nAnswer: -136404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/6)\/((-3)\/108). Let s = -24 - v. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6734*s = 6687*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 5. Suppose a = 5*i + 10, w*a - 40 = -2*a + 5*i. Suppose -5*f = d + a, -2*d + 69 = -5*f + 14. Solve -o = v - 4, 0*o = 3*o + 4*v - d for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h + 9*h - 2*h as w*h + i and give w.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 24*t**2. Let j(l) = 107*l**2 - 3*l + 2. Let u be j(2). Let x(s) = -u - s**2 + 424. Calculate o(x(r)).\nAnswer: 24*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -14 + 2?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -317*p**2 - 526*p**2 + 1554*p**2.\nAnswer: 711*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 122931 - -95?\nAnswer: 122a06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 h when two letters picked without replacement from hzjzigz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -388, -349, -292, -217, -124?\n\"Answer: 9*r**2 + 12*r - 409","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -23*x**2. Let h(i) be the first derivative of -7*i**3\/3 + 12. Give s(h(f)).\nAnswer: -1127*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 25, -1, -45, -1\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2\/3, -2, -23 in descending order.\nAnswer: -0.4, -2\/3, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3 + 22*l**2 + 6*l - 270.\nAnswer: 2*(l - 3)*(l + 5)*(l + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32342 - 2?\nAnswer: 32340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 1 - 12*d + 0 + 6*d. Give y(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 9\/119?\nAnswer: 9\/119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50 - -251\/5. Let o = -0.2 + 1.2. Let i = o + -2. What is the closest to i in -3\/2, x, 4\/5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 6*j - 3. Let b be l(3). Let g = 29 - b. Solve 4*p + 22*p**3 - g*p**2 - 6*p**4 - 6*p**3 + 8 - 8 = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**2)**(13\/7)*(h*h**(-1\/5)\/h)\/h**(-4\/5) assuming h is positive.\nAnswer: h**(151\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3355583?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -4 + -5 - 1. What is the units digit of (8 - (-105)\/(-10))*296\/h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -197 and -197 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-6)*u\/(u**(-5)\/u))\/((((u**(-10)*u)\/u)\/u)\/(u\/(u\/(((u\/u**(-7\/3))\/u*u)\/u)))) assuming u is positive.\nAnswer: u**(43\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -438, -450, -462, -474, -486?\n\"Answer: -12*r - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.7 + -29. What is the second biggest value in -3, i, 0.2, -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.19, -7, 3, -3, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes before 2:05 PM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + -4 + sqrt(19) - ((sqrt(304)*-1)**2 + sqrt(19)).\nAnswer: -308 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (612\/30)\/((14\/21105)\/((-4)\/(-12))). What is the highest common factor of m and 201?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 17d + -a653?\nAnswer: -a4c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1877*c + 34 = -4*x - 1876*c, -5*c = 4*x + 46 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-272)\/408)\/(98\/4557)\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1088*v**2 - 333*v**2 - 382*v**2 - 374*v**2.\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (78 - 73*k - 78)*(-3 - 1 + 2).\nAnswer: 146*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*f**3 + f**2 + 62 + 200*f**3 - 93*f**3 + 80 + 3*f - 48 in the form k + i*f**2 + d*f + s*f**3 and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 998355269?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 2 - 2\/(120\/12)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5803 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = -3*t + 60, t - 80 = -3*t - 5*q. What is the greatest common factor of 220 and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.9 from 128229.\nAnswer: 128228.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.21 - 4.79. Let a = j - -134. Let y = a + -140.8. Round y to zero decimal places.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 32 = -4*h + 2*v, -24 = 4*h - 3*v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 391 + -1956\/5. Let g = -8 - -6. Which is bigger: w or g?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 70923023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1240 divided by 31.\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6306234?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 4)*(4*o - o + 9*o) + 0 + o + 0 + 2*o - 3*o + 0*o + 25*o + 203 - 203.\nAnswer: 13*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 PM and 11:57 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*v + 14*v + 9 = -5*o, -4*v = o + 27 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 27*x - 21*x. Solve 23 - 5 = x*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/37))**(-3\/28)*((c*c**(-23)*c)\/c)\/c**31 assuming c is positive.\nAnswer: c**(-54911\/1036)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a centimeter in micrometers?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 135 and -604.5.\nAnswer: -81607.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 19. Factor 37*x - 56*x**3 + 7*x + 2*x**2 + 2*x - u.\nAnswer: -2*(x + 1)*(4*x - 3)*(7*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of 49*x**4\/2 - 19*x**3\/6 + 11*x**2 + 64*x - 1. Is m(9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*-1*4\/8.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -620 - -646. Suppose -11 = w*f - 31*f + 3*c, -f - c + 7 = 0. Solve 0 = -4*p - 0 - f for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1974.7 times 0.5\nAnswer: -987.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 7. Suppose -h = -l + 3*l. What is the remainder when 2 - (l + 1 + -8) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h**2 - 5*h**2 + 3*h**2 - 2*h.\nAnswer: -4*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26.8 + 26.80000214. What is z rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35477+-210862955\nAnswer: -210827478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 141 - -432805.9.\nAnswer: 432946.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 130 = -4*q - 5*j, 0 = -5*j + 20. What is the least common multiple of q and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0393372 times -4.35?\nAnswer: -0.17111682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.2 - 0.7. Let t = -0.187 - -0.085. Let n = 0.002 + t. What is the nearest to n in c, 0.1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3589 (b) 0.5 (c) -4 (d) 1.52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30847 is divided by 10282.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1872408 or -9362039\/5?\nAnswer: -1872408","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1c (base 14) to base 16\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4*t = 2*x + 4, 5*x - t + 11 = 0. Let z = -8.04 - -0.04. Let u = z + 5. Which is the closest to 0.1? (a) u (b) x (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 42?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 6*h**2. Let g(z) = -30*z**2. Determine g(w(f)).\nAnswer: -1080*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01300428 rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 403153213 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19430434, -19430432, -19430430, -19430428, -19430426?\nAnswer: -19430424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6921\/11 + -629. Which is the closest to -2? (a) -7\/5 (b) 1 (c) 0.1 (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n + 4*n - n + 340*n**2.\nAnswer: 340*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**2 + q**2 + q**3 + 0*q**3)*(6*q - 6*q - 4*q**2).\nAnswer: -4*q**5 - 24*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 194072117 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 78*0.9\nAnswer: 70.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + -2. Let p = u + -3. Let i = 1.99995 + p. What is i rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 953, 8, 0 in descending order.\nAnswer: 953, 8, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-240)\/(-17) + 2\/(-17). Let w(p) = 6*p - t*p + 6*p. Let d(c) = -15*c. What is d(w(m))?\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89991 is divided by 220?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2735 is divided by 909?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -340 - -340. Is q < -102?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d**3 + 4*d**3 + 6*d**3 + 7*d**3 - 20*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**3 + 13*l**2 - 5*l + 6. Let n(i) = i**3 + 2*i**2. Let o(y) = -4*n(y) + z(y). Determine o(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) 1\/5 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 1054990*r**2 - 421946*r\/3 - 20\/9 = 0?\nAnswer: -5\/316497, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, -1946, -2 in descending order.\nAnswer: -2, -22, -1946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (322\/(-12) - (-8 + (-301)\/(-42))) + 9.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5270758837 to the power of 1\/5, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 4*h, 3*h - 24 = 44*a - 49*a. Let k be 2\/5 + 124\/(-10). What are the prime factors of a + 3\/(k\/122)*-4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v + 88 - 78 = 2*b, -4*b - 2*v + 38 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 504 and -26.7089?\nAnswer: 530.7089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(96)\/sqrt(8))**2 + -4.\nAnswer: sqrt(3) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -29, 1, -3, -5.\nAnswer: -29, -5, -3, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b + 2. Suppose -5*p + 0 - 4 = 4*q, 2*p + 5*q = -5. What is the units digit of t(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 91 = -4*t, 0*k - 5*t + 52 = 3*k. What is the remainder when k is divided by 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*y**3 - 1676*y**2 + 3353*y**2 - 1677*y**2 - 9*y + 7*y.\nAnswer: 32*y**3 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 578 is divided by 414.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9370405\/9284652 + -2\/85969. What is the common denominator of m and (-80)\/(-90)*(10\/12 - 1)*-12?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523045*m + 8 = -523049*m, -5*n = -2*m + 11 - 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.2. Let n = 103.9 + -103.5. What is the second biggest value in -14, n, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes before 3:47 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15846 is divided by 3958?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2047550127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 50053461 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 8:53 AM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3240*j = 3245*j - 60 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118 + 204. Suppose 4*z + 2*t + 0*t - u = 0, -4*z - 3*t = -89. Let r be (-8)\/z - 23\/5. Sort r, 2, 1 in increasing order.\nAnswer: r, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m + 2*m - 25 = 0, 4*m - 20 = -h. Let l be (4 - 90\/21) + h\/(-7). Is (36\/15)\/(l\/(-15)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-181)\/10317)\/(((-12)\/(-18) - 26\/(-18)) + -2).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 11*p - 7. Suppose -4*r = 5*s + 10, 5*s - 5*r = 47 - 12. Let o be y(s). What is the derivative of 26 - 7*k + 14*k + o*k wrt k?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.36 + 28.49. Let t = w + 2.87. Is t greater than 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1805849 and -1805849 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18957?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (58*a - 1830 + 1830)*((2 + 1 - 4)*(3 + 3 - 5) - 4 + 3 + 12) in the form s*a + n and give s.\nAnswer: 580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/25 of a tonne?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7190 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 9*q**3 + 6*q**2 - 4*q. Let z = 38 + -23. Let v = z + -28. Let i(k) = 19*k**3 + 13*k**2 - 9*k. Calculate v*n(j) + 6*i(j).\nAnswer: -3*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -3*p. Let c(i) = -153*i**2 + 111. What is c(t(k))?\nAnswer: -1377*k**2 + 111","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.7 and 0.45.\nAnswer: 0.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -c**7\/210 - c**4\/8 + 3*c**2\/2 - 1. Let g(l) be the second derivative of y(l). What is the second derivative of g(u) wrt u?\nAnswer: -12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -295809 and -0.014874.\nAnswer: -295809.014874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2609, 27, 8.\nAnswer: -2609, 2, 8, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4, 3, 1222 in increasing order.\nAnswer: -1, 3, 4, 1222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 + 9. Is 5 a factor of l\/1 - (-3 + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205309892 by 2.\nAnswer: 102654946","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 13 = -h, -h + 7 = -3*u - 3*h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k = k + 70 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -18993 * 4.2.\nAnswer: -79770.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2, -5, -16, -31, -50, -73?\n\"Answer: -2*a**2 - a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d when three letters picked without replacement from qwwwtwwdtwdqdwww?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1331 = -276*c - 119*c + 1829 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 0*j - r - 128 = 0, 5*j = -5*r + 110. Let n = j + -16. Suppose n*l - 12 = 3*l. Solve 0 = -s - s + l*o - 6, 4*o - 21 = -5*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63029 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - -2. Let q = 15 - m. Suppose 2*k + q*g + 7 = 0, -4*k = -0*g - 3*g - 25. Calculate the smallest common multiple of 22 and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 64085 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 30313 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Total of 312 and 34.600207.\nAnswer: 346.600207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189 - (-67 - -39 - 74).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 697, 1277, 1857?\nAnswer: 2437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.5004033 rounded to one dp?\nAnswer: 10.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fourty-nine fifths of a kilogram?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 * 11.7\nAnswer: -128.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 13*m + 18. Let j be k(7). Suppose g - 3*y + 120 = 5*g, -2*g + y + j = 0. Which is greater: 31 or g?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*v = -12*v + 6*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/28 in 0.05, -41\/3, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 5*d - 63 = 0, -b + 6719*d - 6716*d + 35 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -23\/4 (b) 0.1 (c) -0.3 (d) -11 (e) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - k - 4. Let j be t(-2). What is the highest common factor of j and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 5*k + 340, -4*k = a + a - 652. Suppose 2*l - 211 = -2*o + 3*o, -3*l + a = 3*o. What are the prime factors of l?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40100 + -3303. What is the ten thousands digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.107 and -13655.\nAnswer: 1461.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (5 + 1 - 5 - 2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -50*l - 140*l. Let o(c) be the second derivative of 12*c**2 - c + 14\/3*c**3 + 1\/3*c**4 + l. Factor o(h).\nAnswer: 4*(h + 1)*(h + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 1\/(-10)*52.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - -9 - -12 - 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 27967985?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (4*sqrt(20)*1)\/sqrt(10) + -3 + 1)**2.\nAnswer: -24*sqrt(2) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9688, -19348, -29008, -38668?\n\"Answer: -9660*b - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -5*c - 0*w, 3*c + 2*c - 3*w = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 7, y: 1, d: 1, i: 4, u: 3}. Give prob of sequence lud.\nAnswer: 1\/160","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12*13\/(-130) - (-1)\/5. Let q = 29 + -31. Is q <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-3\/4)*o\/(o*o*o\/((o\/((o*o**(-8\/3))\/o)*o)\/o)))**1\/(((o\/((o**(1\/5)*o)\/o))\/((o*o**4)\/o))\/((o**4\/o)\/(o\/(o**(-2\/7)*o)))) assuming o is positive.\nAnswer: o**(2869\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3568167 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24691?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 0.21, -1\/5, -17?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36.8335 millilitres to litres.\nAnswer: 0.0368335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c = 4*g - 8*c - 2276, -5*g - c + 2854 = 0. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 - -2. Suppose 0 = -4*u + j*u - 12. Let b = u - -20. List the prime factors of b.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 109 + 162*p + 199*p - 265*p to the form z*p + m and give z.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210 + -12?\nAnswer: -222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**2 + 126*n + 1311.\nAnswer: 3*(n + 19)*(n + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence abra when four letters picked without replacement from {a: 4, r: 2, b: 7}.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*m - 347 - 345 + 1388 - 347 - 325.\nAnswer: 16*m + 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -3*d + 2. Let x be z(-6). Let c = x - 12. Suppose -4*v = -0*v - 44. Calculate the least common multiple of c and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29 + 9 + -7 + (-16 - -5) + -4.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3463\/7 + 528. Let m = y - 33. What is the second biggest value in m, -1\/12, 1.1, -1\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from ibiuuiui?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15.53 + 18.53. What is the nearest to 2\/7 in m, -9, 2, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((5*(sqrt(605) + -1) - (sqrt(605) - (0 + sqrt(605)*1))) + 3)*-6)**2.\nAnswer: -285120*sqrt(5) + 19607184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g + 25 = 2*m, -4*m + 68 = -4*g. Suppose -2*t = 2*t. Let h = m - t. What is the least common multiple of 14 and h?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 6 + 8 = 0. Solve q - 4*q + r = -5*x, 2*x - 2*q = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 13 + -11. Let l(r) = 13*r**3 - 1. Let k(c) = 11*c**3 + 1 + 1 - 4 + c**3. Let o(q) = w*k(q) - 3*l(q). What is the derivative of o(a) wrt a?\nAnswer: -45*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/2, 2\/11, -4, -9734, -1\/6?\nAnswer: -9734","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/5 + (-1890)\/50. Let w = r - -92. Is w a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**3\/2 - y**2 - y. Let q = -65 + 69. Suppose -q*d - l - 10 = 2, -5*l = 3*d + 9. Determine s(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7658?\nAnswer: 2, 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iu when two letters picked without replacement from uuuii?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 16893 and 16899 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4307 = 617*u - 224*u + 1981 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6\/12145 + 423851\/2477580. Calculate the common denominator of q and -5\/2244.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 5 (c) -1 (d) 2 (e) 25\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6612 + -6611.9999985378. Round a to 7 decimal places.\nAnswer: 0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 37\/5 of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -52390 (base 13) to base 10.\nAnswer: -147823","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2415138 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**3 - 2*i**2 - 4*i + 9. Let u be s(2). Suppose -3*d + u + 107 = 0. Calculate the remainder when d is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 545 - -224. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 233*p**2 - 5*p + 2*p**3 + 3*p**4 - 232*p**2 - 2*p**4 in the form s*p + g + b*p**4 + h*p**2 + j*p**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6143597*n - 5405265?\nAnswer: 6143597","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 12*b - 22. Calculate l(-16).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 23*u**2 - 10 + 10 + (-13 + 13 - 5*u)*(-2*u + 1 - 1) in the form p + c*u + a*u**2 and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*u + 23. Suppose -3*w + u = 1. What is the second derivative of 3*h**w - 9*h**3 + 0*h - 6*h wrt h?\nAnswer: -36*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 135910 is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 32\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -2*c + 1170 - 1187, 0 = 4*c - k - 21 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6442 + 6442 + 59278*m - 59276*m.\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -5*r + v, -r = 11*v - 240 + 230 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9034953 is divided by 2331.\nAnswer: 2328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/32*0\/(6 + -7). Solve b = -11*i + 9*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4 + 9*t**3 - 84*t**2.\nAnswer: 3*t**2*(t - 4)*(t + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -217 - -226 - (-382)\/(-42)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, 0.4, -0.5, 6, -6, -303?\nAnswer: -303","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-135))\/((-63)\/(-315))*(1\/(-4))\/(-1).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 2*h - 7. Suppose 2*u - 7 = 51. Suppose 0*o = -4*o - 3*z - u, -5*o - 3*z = 34. What is p(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1134203413 + -102?\nAnswer: -1134204020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 88692053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5399 and 158789989?\nAnswer: 5399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 121328.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1203230133 (base 5) to base 3.\nAnswer: 12020201100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and -0.037517.\nAnswer: -0.112551","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 6688, 2, -5, -1.4, 5 in decreasing order.\nAnswer: 6688, 5, 2, -1.4, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113186 or -1.5?\nAnswer: -113186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16\/23 - 12\/115. Which is bigger: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -259 + 185. Let q = -62 - m. Let l(a) = 13*a**2 - 1. Calculate the smallest common multiple of q and l(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 216.6 - 209.612. Let t = 4 + -11. Let v = r + t. What is v rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 232, -5, -132, 2, 1, 5 in ascending order.\nAnswer: -132, -5, 1, 2, 5, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-1 + (1 + sqrt(396) + 1 - 5*sqrt(396)*-1) + 4)**2.\nAnswer: 1080*sqrt(11) + 42843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllcclllll. Give prob of sequence lc.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 + 29)*(-5 + 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*n = 5*n + 3685. Let i = n + -487. Let a = -160 + i. Does 23 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2 = -3*k. Suppose 3*u + 3*t - 61 = k*t, -u = 2*t - 27. Let p = -12 + u. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -7. Let t = 0.007 + -12.907. Let s = t - f. Is s greater than -1\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 4353063?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 250 and 1826125?\nAnswer: 3652250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes after 7:20 PM?\nAnswer: 1:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 586600 rounded to the nearest 100000?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29060418?\nAnswer: 2, 3, 4843403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 267*d. Let n(g) = g. Give c(n(p)).\nAnswer: 267*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 588 - 375. Round k to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -227 + 4311\/19. What is the second smallest value in 4, x, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2105 - 2105.000006865. Round k to six dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -863997, -3456013, -7776041, -13824081, -21600133, -31104197, -42336273?\n\"Answer: -864006*f**2 + 2*f + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -s**2 - 8*s - 12. Let n be k(-2). Suppose -10*w + 2461 - 271 = n. What is the remainder when w is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 11*x - 2. Let q be g(11). Let f be (3 + -1)*q\/8. What is the second smallest value in 0, f, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 3*f**2 - 1. Let l be c(-2). Solve -14 + 5 = l*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1018 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -11 times -2202\nAnswer: 24222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -1832 (base 10) in base 12?\nAnswer: -1088","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2199 - 1165 + 4718)*(3*y - 2*y**2 - 3*y) + (1 - 1 + y)*(-4*y + 3*y + 2*y) to l*y + x*y**2 + p and give x.\nAnswer: -2707","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -42? (a) 5 (b) -1\/2 (c) 123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 158735964?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + o - 3*o)*(-5 - 2 + 6)*(5 - 5 + 1) to z*o + c and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -186, -149, -162, -249, -434?\nAnswer: -741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22*1104\/(-672) + 36.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5000084857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -1 - 3 + 4 - 18*u. Let g(h) = 3*h. Determine g(y(z)).\nAnswer: -54*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 + 23*t + 36. Let f be v(-2). Solve 4*z - r + 24 = 0, -66*r = f*z - 71*r + 30 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 1. Let k(d) = 7*d - 4. Suppose 42*j + 9*j + 48 + 3 = 0. Give j*k(c) - 5*r(c).\nAnswer: -7*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3330455\/54 + 61677. What is the common denominator of y and -19\/30?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-3*(1 + -1*sqrt(2299) + 1)*-5)**2*2.\nAnswer: -712800*sqrt(19) + 37308600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 k when three letters picked without replacement from otkxmmdxtmkkoxxtmxmk.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**2 + 13*w - 23. Let i be c(-12). Let n = 1 - i. What is the smallest common multiple of n and 21?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/4726302 and 61\/516.\nAnswer: 9452604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1\/10530538 - 5593263667093\/73713766. Let s = z - -76204. Let c = s + -325. What is the closest to -1 in c, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 694*b - 6. Let x be n(6). Let v = -2085 + x. What is the common denominator of 1\/12 and 8\/(-28) + v\/420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 7.01. Let v = -0.01 + d. Let n = 6.3 + -1.3. What is the nearest to -1\/3 in -2\/7, n, v?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(2*sqrt(68) - sqrt(68)) - sqrt(68) - sqrt(68))\/(sqrt(16)\/sqrt(4)*-2 + sqrt(4)).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -15. Suppose o*i - 8 = -2*l - 2*l, -4*i = 0. Put l, -4, 5\/3 in increasing order.\nAnswer: -4, 5\/3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 3*l**2 + 102*l - 234. Calculate c(-29).\nAnswer: -669","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 73, 88, 105, 124, 145?\n\"Answer: z**2 + 12*z + 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b. Let i = 11 - 7. Suppose 0 = 2*r + 2*r + 20, -i*r = o + 19. Let h(s) = s - 1. Let f(x) = o*u(x) - 3*h(x). What is f(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 3*i)*(2 - 1 - 3) + (4 - 4 + 3)*(-995*i + 335*i + 149*i) in the form p*i + m and give p.\nAnswer: -1527","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -53702329?\nAnswer: 3\/53702329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o + 1. Let v = -2 - -4. What is the units digit of k(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**3\/6 + 4*v**2 - 2*v + 3. Calculate f(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0141 + -3.5659. Which is smaller: g or 1\/6?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1475057211?\nAnswer: 3, 18313, 26849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w**2 + 4*w**2 - 5*w**2)*(3 + 2 - 3)*(-w + 0 + 0) to p*w**3 + m + d*w**2 + i*w and give p.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5646991554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27740880*p + 55481749*p - 27740867*p.\nAnswer: 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*x**4 - 2*x**4 - 3*x**4 + (2 - 2 - 2)*(-34*x**2 - 792872*x**4 + 36*x**2 + 801103*x**4) as r*x**4 + b*x**3 + j + s*x**2 + o*x and give r.\nAnswer: -16463","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 4*o + 11 = 0, -3*j + 39 = -3*o + 12 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 + 5*l - 4. Let i be u(1). Which is smaller: i or 1\/62?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -13*u**3 - 220*u**2 + 4674*u + 79200. What is b(-17)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*g = 1588. Let u = g + -150. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*m + 47. Suppose -2*r + 0 = -18. Calculate the remainder when m is divided by r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.7192 + 0.2808. Put -0.4, -3, 2, d in increasing order.\nAnswer: -3, -0.4, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 510 is divided by 220.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*s + 20545 - 19831 for s.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 120786?\nAnswer: -120782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/2 + (2 - (5 - 4)). Suppose 5*f - 308 = -4*j, 0*f = u*f - 12. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 - ((5 - (2 - 3)) + (-11 - -1))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 4*q**3\/9 + 178376*q**2\/9 = 0?\nAnswer: -44594, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 148, 154, 150, 130, 88, 18, -86?\nAnswer: -230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -219061, -438124, -657187, -876250, -1095313?\nAnswer: -1314376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*r = 188, -3*q = -0*q - 5*r + 182. Let w = q - -89. List the prime factors of w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + (sqrt(300) - -2*(sqrt(300) + 0 + sqrt(300))) + 1*(sqrt(300) - sqrt(300)*3))**2.\nAnswer: 4800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + 1678*f - 72930. Determine r(46).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/2 - 10344657*s\/2 + 15516972.\nAnswer: 3*(s - 3448216)*(s - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2 + 16*p + 4. Let l be s(8). Let o(f) = 9*f**3 - f**2 - 9. Let d be o(l). Let v = d - -69. Round v to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28.14 - 3660722.\nAnswer: -3660750.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 + 44.79. Let z = 0.30081 + -0.090874. Let i = z + l. What is i rounded to 5 dps?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -98484, -393896, -886250, -1575546?\nAnswer: -2461784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 1 + 74 + -29 + 95 + -84\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:49 PM and 2:01 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 261 - 241. Let q(d) = -605*d + 71. Is q(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18748.\nAnswer: 2, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q + 4. Let x be z(-4). What is the units digit of 0 + x + 10\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 17. Suppose 0 = -u*x + 65 + 304. Suppose 2*k - 6*k = f - 80, k = 5*f + x. What is the remainder when 61 is divided by k?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35.53281198 to 3 decimal places.\nAnswer: 35.533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of 29*z**6\/30 + z**5\/2 + 689*z**4\/12 - 1252*z. Find the third derivative of n(h) wrt h.\nAnswer: 696*h + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4737 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2813029*g + 17 + 5626058*g - 2813027*g.\nAnswer: 2*g + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v + 3*v + 2*v)*(13*v + 7*v + 0*v) in the form x*v**2 + q*v + h and give x.\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 29. Let c(i) be the first derivative of -i**6\/360 + i**5\/15 - i**4\/6 - 13*i**3 - 38. Let r(u) be the third derivative of c(u). Calculate r(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1573*o + 3 - 1573*o - 17*o**2 - 3.\nAnswer: -17*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(3\/5)\/x)\/(x**(-2\/3)*x))\/(x**(-2\/3))**(6\/11)*x**(5\/3)\/x**(-7)*(x**0\/x)**(22\/3) assuming x is positive.\nAnswer: x**(108\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 80278 a multiple of 89?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -r**2 + 5*r**2 - r**2.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -4677943*v - 2. Let f(n) = -8*n. Calculate a(f(x)).\nAnswer: 37423544*x - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -35*p. Let m(h) = 21*h + 3180. Give m(f(l)).\nAnswer: -735*l + 3180","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/26*(-36)\/27*-3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 9:45 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(((u*u*u**22)\/u*u)\/u)*u*u*u*u**(-24)*u)\/((u*u**24)\/u)**(-2\/85) assuming u is positive.\nAnswer: u**(-3522\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -f - 59 + 59, 4*f + 6*f + 28 = -2*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 559 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + 61 + -135 - 27?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 29*f**2 - 35*f**2 - 1311*f + 0*f**2 + 1658*f to the form q*f**2 + c*f + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1829.354 times -3\nAnswer: -5488.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52 to the power of 1\/2, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k - 9. Suppose -17*u - 145 = -26. Determine m(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183 a factor of 4033137?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -9, -129\/2, -35 in ascending order.\nAnswer: -129\/2, -35, -9, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1781, 1779, 1777?\nAnswer: 1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 185, -0.4, -17, 53, -5 in descending order.\nAnswer: 185, 53, -0.4, -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -2*k + 2*d, -175*k + 5*d = -178*k - 32 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4176 by 9875.\nAnswer: -4176\/9875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y + 3 - 3*y**3 - 3 - 2 - 3*y**2 + 2*y**3. Let o be w(-2). Suppose 0 = z - o*z - 31. List the prime factors of z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25725898?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 12) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) -7 (c) -1\/4 (d) 2\/9 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*x - 60 = 551 + 4017 for x.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21)\/(sqrt(3) + sqrt(75)) - (sqrt(224)\/sqrt(4) + sqrt(56))\/sqrt(8))*4 + (((-3*sqrt(21) - sqrt(21))*2)\/(-1*sqrt(3)*-6))**2.\nAnswer: -22*sqrt(7)\/3 + 112\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 227207 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -21. Let s = 9 + w. Let f = 0.4 - 0. Which is the closest to s? (a) 1 (b) -3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -93*s**4\/4 - s**3\/3 - 7972*s - 13679. Differentiate k(u) with respect to u.\nAnswer: -279*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3642 - 3642 - 12*q.\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 10*v + 184. Determine f(-20).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 34, 22, 10, -2?\n\"Answer: -12*t + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 30 and 4332?\nAnswer: 21660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 11*t - 15. Let k be f(-6). Solve -15*p = -18*p + k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -426*k**2 - 8940*k + 123. Calculate z(-21).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24, 217, 846, 1989, 3772, 6321, 9762, 14221?\nAnswer: 19824","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccchchh. What is prob of sequence cc?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (36*i**3 - 69*i**3 - 6*i**2 + 54*i**3)*(5 + 2 - 6)*(0 + 1 - 2)*(-2*i + 12*i + 0*i) as c*i**4 + p*i**3 + t + a*i**2 + k*i and give c.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 7. Suppose s = -3*x + 39. Let a = -9 + x. Solve -6*k + 4 = -a*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*x - 4*a + 4, -56 = -134*x + 130*x + 4*a for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 - 3*q + 70. Let c = 30 + -30. What are the prime factors of g(c)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 11:41 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s = -2*s + 156. Solve -27 = s*x + 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 f, and 1 u when three letters picked without replacement from uwuauwmwwwfymuu.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 4*i + 1. What is o(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/3*3\/2. Does 11 divide (-2 - 37)*c\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from oooooooooo?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 260 + -28749?\nAnswer: -28499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5791, 23994, 54333, 96808?\nAnswer: 151419","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4ca (base 14) to base 11\nAnswer: -7a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -5, 4, -154\/5, -3\/14 in descending order.\nAnswer: 4, 2\/3, -3\/14, -5, -154\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6831\/2079 - -1*(-1 + -2). Put 0, 190, o in descending order.\nAnswer: 190, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-38)\/(-133)*7\/8. Let i = 2.3 - 1.3. What is the nearest to -1 in p, i, 0.5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.7 + 0.1. Round c to the nearest integer.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**2 + 16275 - d**3 - 16200 + 3*d**3)*(-11 - 7*d + 11)*(3 - 6 + 2) to v*d + m*d**2 + c*d**4 + f + z*d**3 and give c.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*c + 3 = -29*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 10:53 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 130 = -3*h, 2*h - 2*m - 42 = h. What is the highest common factor of h and 110?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1535\/114 - -12\/19. Find the common denominator of v and -71\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -195 - 367 = -82*q - 152 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73*k**2 + 799*k - 37*k**2 - 799*k.\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.9, -15538, 2\/13 in increasing order.\nAnswer: -15538, -1, 2\/13, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1120*i**2 - 24*i + 1780353 wrt i?\nAnswer: 2240*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 10*j - 1. Let w be h(10). Let b be (-1)\/(1 - w)*-62. Let i = -4 + b. Is 27 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-2\/11)*g*g*g**(2\/9)*g*(g\/((g*g**(1\/8))\/g))\/(g*g**(-1\/15)\/g)*(g**6*g**(1\/15))**(35\/3) assuming g is positive.\nAnswer: g**(98683\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**(-1\/3)*r**(1\/5)\/r*r)\/(r**(1\/2)\/r**5) assuming r is positive.\nAnswer: r**(181\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/24)\/u)\/u**(-10))\/(u\/(u\/u**7*u)*u*u**(-4)\/u) assuming u is positive.\nAnswer: u**(169\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1107 + 1110. Suppose 0 = 4*v + 2*i - 32, 6 = 3*v - i - 28. Let h = v + -4. Put p, -4, h in decreasing order.\nAnswer: h, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -1 + 35*g + 1 - 20*g. Let c(n) = -n. Determine x(c(b)).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2184 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 7\/4 of a centimeter?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m. Let f(z) = 737889*z**2. Give f(l(s)).\nAnswer: 6641001*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a. Let p(w) be the second derivative of 0 - 1\/30*w**6 + a*w**3 + 0*w**2 + 0*w**5 + 2*w + 1\/3*w**4. What is the third derivative of p(y) wrt y?\nAnswer: -24*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -61*q**3 + q**2. Let i be f(-1). Suppose -4*u - 3*k = 138, 0*u + 2*u = -5*k - i. Let h = u + 50. What are the prime factors of h?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11667297 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*i*j**3 + 1565*i*j**2 - 2*i - 2*j**3 + 2*j**2 - 58572*j wrt j.\nAnswer: -72*i*j + 3130*i - 12*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 5:46 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - u**2 + 157*u + 6. Let b(f) = -4*f**3 - 2*f**2 + 471*f + 17. Let j(o) = 6*b(o) - 17*m(o). What is the second derivative of j(i) wrt i?\nAnswer: 60*i + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20441.5 and 0.1.\nAnswer: -2044.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -5*t + 8 + 7, -3*q = -3*t - 12 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - z + 3*w = 51, w = -3*z - 25. Calculate the remainder when 6\/z + 170\/3 is divided by 30\/20*58\/3.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 178.8 and 102649?\nAnswer: 18353641.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/4 - (-13)\/2. Suppose -2060 = -5*z - 5*g, 2 = -40*g + 42*g. Suppose f*v + z = 9*v. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -31 - -10?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(57)\/(sqrt(3) + -6*(sqrt(3) - sqrt(12) - sqrt(3))))**2 + sqrt(114)\/((sqrt(72) - (sqrt(72) + sqrt(72)*1))\/sqrt(12)).\nAnswer: -sqrt(19) + 188\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-13332)\/(-165) + (-8)\/10. Suppose 24*p = 32*p - f. Solve -7*y = -9*y + p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 239 + -68. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + 2*q - 25*q)*(-52 + 2*q + 52)*(4*q + q - 3*q).\nAnswer: -84*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/8 and 53\/58?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z - 3. Let s be c(2). Suppose 2*t - 3*l - 22 = -5*l, -4*t = -s*l - 79. Is (72\/t)\/((-6)\/(-8)) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 - 7)\/((-2)\/(-2)). Let q(d) = 53*d + 23. Let l(f) = -9*f - 4. Let h(w) = 34*l(w) + 6*q(w). Let a(j) = j. What is m*h(c) + 10*a(c)?\nAnswer: -2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 52417*n - 52417*n - 126*n**2 + n**2 + 0 + 0 + (-3*n + n + 4*n)*(-3*n + n + n).\nAnswer: -127*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 580, 1978, 4202, 7258, 11152, 15890, 21478, 27922?\nAnswer: 35228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 r when four letters picked without replacement from {o: 4, l: 3, r: 8, p: 4}?\nAnswer: 8\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -55 and -1.221.\nAnswer: 67.155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 473.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2. Suppose 2*l - 2*q - 5 = -l, l - 25 = -4*q. Suppose -4*t = -5*u + 3, 2*t - l*u + 11 = 2. Let k(w) = 12*w - t*w - 2*w. Calculate k(h(j)).\nAnswer: -7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 less than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 23232 (base 4) in base 6?\nAnswer: 3250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 737601 is divided by 245859.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29 - 3fcc?\nAnswer: -3ff5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -l + 9*i - 4*i, -32 = 4*l - 3*i for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*j**5 + 13784*j - 13696*j - j**2 - 32*j**5 wrt j.\nAnswer: -480*j**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17562661?\nAnswer: 29, 605609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-51)\/((-21675)\/(-9335)) - -22\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7934*21488\nAnswer: 170485792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-2\/25)*i**11)**43\/((i*i*i**8*i*i**(-2))\/((i**(-2\/3)\/i)\/i*i)**(-6\/5)) assuming i is positive.\nAnswer: i**(12639\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 372*q**3 - 16*q**2 - 9*q**2 - 11*q**2 + 52*q**2 - 16*q**2.\nAnswer: 372*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: Let i(h) = -38*h + 363. What is i(4)?\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16364 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9215, -18450, -27741, -37088, -46491, -55950, -65465?\n\"Answer: -28*t**2 - 9151*t - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t\/t**(2\/17))\/t)\/t*t)\/t*(t**(-6\/19)*t)\/t*t*t*t**(-6)*t\/(t*t\/t**25*t))**15 assuming t is positive.\nAnswer: t**(85110\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 84353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3253, -6567, -9871, -13159, -16425, -19663, -22867, -26031?\nAnswer: -29149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -14*2\/(-9)*(-594)\/264\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*1)\/((-1)\/1). Let d(m) = m**3 - 2*m**2 - 2*m - 1. Let w(g) = 0*g - 100212 + 0*g - 3*g**2 + 2*g + 2*g**3 + 100211 - 5*g. Calculate r*d(k) + 2*w(k).\nAnswer: k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15? (a) 27 (b) 6 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20986 + -20846. Calculate the remainder when 613 is divided by f.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/6)\/(7\/(-14))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 77 and -1.7978?\nAnswer: -138.4306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/3 (b) -1\/15 (c) -0.4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 1854476*t - 3708968.\nAnswer: 4*(t - 463621)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4\/4121 - -226727\/74178. Let m be 1726\/(-40)*-1 - (-15)\/25. Let k = m - 701\/16. Find the common denominator of o and k.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of 1\/252*z**7 + 0 - 17*z**2 + 0*z + 0*z**3 - 1\/72*z**5 + 1\/240*z**6 - 1\/504*z**8 + 1\/144*z**4. Determine g so that l(g) = 0.\nAnswer: -1, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4583161, -18332659, -41248487, -73330645, -114579133, -164993951?\nAnswer: -224575099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -3\/655844?\nAnswer: -3\/655844","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.024 in -0.015, -1\/4, 5\/4?\nAnswer: -0.015","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10706106?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (190\/152)\/(1\/(-8)). Let g(j) = j**3 + 10*j**2 + j + 5. Determine g(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 1, 1\/3, 37.08, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150 (base 13) to base 7.\nAnswer: -453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39 - -46. Suppose -f*g + 2984 = 702. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136389, 272755, 409117, 545475, 681829, 818179?\nAnswer: 954525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g + 2*g)*(1103*g**2 - 2850*g**2 - 1146*g**2).\nAnswer: -5786*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 877036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 - 9 = -h. Let j = 24 + -50. Let g = h - j. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f - 2. Let z be k(-10). What is the highest common factor of z and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -24*y + 12*y. Solve -2*b + 5*j + 21 = 0, y*b + b - 5*j = 19 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -14, -59, -138, -251, -398, -579?\n\"Answer: -17*k**2 + 6*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - a**2 - a + 8. Suppose -6 = 4*t + 18. Let f be -3 - (-4)\/(-8)*t. Let d be w(f). Solve -k = 2*q + d, -2*k - 7 = q - 0*k for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7882 and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fum when three letters picked without replacement from {f: 1, u: 3, m: 1, x: 1, r: 5}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.28 * -160.\nAnswer: 204.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*z - 6*z - 6*z - 2 + (-5 + 5 + 5*z)*(-3 - 1 + 3).\nAnswer: -3*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -16.91. Let a = 33 + -33.39. Let q = n + a. What is the smallest value in -3\/2, q, 0.2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35269 = i - 35274, 23*d + 199 = 3*i for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 106589*i**3*j**2 - 43*i**3*j - 16*i**3 - 2*i**2*j wrt j?\nAnswer: 213178*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -14 - 23\/((-184)\/24)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*t = 2*y - 13, 2*t = -2*y + 4. Solve i - 2*d - 8 = 0, 4*d + 27 - 7 = y*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(3\/2)*s**(-19))\/(s\/(s**(1\/11)\/s))**(-2\/63))**(-1\/10) assuming s is positive.\nAnswer: s**(1151\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -59, -61, -63, -65?\nAnswer: -67","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -c**2*y**3 + 52215*c**2*y**2 + c*y**3 - 1268*c*y + y**3 - 7*y**2 + 5 wrt c?\nAnswer: -2*y**3 + 104430*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -2 + (3 + -1)\/(40\/139060)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1172087 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -63?\nAnswer: -252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 896 and 36064?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2055374 + -2?\nAnswer: -2055376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m + 3. Give x(13).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t*t*t**16*t*t**(2\/11)*t**(1\/4)\/t**(-2) assuming t is positive.\nAnswer: t**(943\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 287594558 + 888.\nAnswer: 287595446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*h**2 + 23*h**2 - 12*h**2 + 10 + 2*h**4 - 1 to the form d + l*h**3 + y*h**4 + o*h**2 + g*h and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 306437 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = a - 3. What is the remainder when 28\/6 - 2\/(-6) is divided by a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 89.\nAnswer: -3\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 + 4*h**2 + h - 1. Let w be s(-3). Let x(p) = -p**3 + 4*p**2 - 5. Suppose -5 + 1 = -2*o. Let i be x(o). Solve k = i, -4*a - 3*k - w = -2*k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 22 (b) -16.471 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -244*z + 6107. Let c be q(25). Let n(s) be the third derivative of -c*s**2 + 0*s**3 + 0*s - 3\/32*s**4 + 1\/240*s**5 + 0. Determine k so that n(k) = 0.\nAnswer: 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 6*i + 0 + 3*i**2 - 3*i**2 + 3. Give h(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 947276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -113\/12 in 0.2, -2, -1272, 0.4, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 222728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -52*925\nAnswer: -48100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1234*b = 1225*b - 2453*b - 24 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 355*q - 188*q - 183*q = 32 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ltlh when four letters picked without replacement from {t: 1, i: 6, h: 7, l: 4}?\nAnswer: 7\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*k + 93 + 344. Calculate the greatest common divisor of k and 805.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 11. Let o = -505 + 515.85. Let k = r - o. What is k rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x - 29 = -57 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 + -7. Let f be (m - (0 + -3)) + 1. Suppose -f*g + 18 = -22. What is the greatest common factor of 20 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/56127 and -143\/2118?\nAnswer: 112254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 476262891 a multiple of 4381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - o**2 - 2. Let q(h) = -h**3 - 2*h**2 + h - 4. Let m be q(-3). Suppose 2*w = -5*l + 3*l - 4, 5*w = l + m. Give z(w).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -70*z - 81. Is o(-19) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1*(-2)\/4*10. Let s(k) be the first derivative of k**2\/2 + 9*k - 50. Let y be s(q). Solve -6 = -j + y*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 2637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 4*q**2 - 2*q + 1. Let j be l(1). Suppose 4*v + 76 = -j*y + 5*y, 4*y = v + 124. Determine f so that 2 - 72*f**2 - 9 - 1 - y*f - 22*f = 0.\nAnswer: -1\/2, -2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*h + 7*h - 18*h + h**2.\nAnswer: h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*f - 372840 = -48*f - 53*f. Is f less than or equal to 2391?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (5 + -3)*(-2)\/4. Suppose -4*g = 4*q - g - 9022, -s*q = 4*g - 11277. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30.3465 - 0.0465. Let z = 34 - v. Let s = z - 3.5. What is the third biggest value in -1, -5, s?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1120341, -2240150, -3359959, -4479768?\n\"Answer: -1119809*h - 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.9 - 5.989. Let x = y - -1.909. Let n = x - -0.18. Which is bigger: n or 3\/8?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.64786975727 and -21?\nAnswer: 22.64786975727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 101 by 12141310.\nAnswer: 101\/12141310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-3539010)\/8804147 - 6\/(-17) and -97\/534.\nAnswer: 5874","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**3 - 36*w**2 + 4*w + 76. Calculate p(-36).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 14151 = 8199. Is ((-68)\/12 + 6)\/((-2)\/u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -33 - -2432?\nAnswer: 2344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 3 - 2)*(-5 + 2 + 1)*(-2*q**3 - 2*q**3 + 6*q**3) - 2*q**3 + 0*q**3 + q**3 as v*q**3 + f + l*q + d*q**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2. Let i(o) = -10*o**2 + o + 1. Suppose -5*y + 25 - 1 = m, 0 = -m - y. Determine m*k(r) + i(r).\nAnswer: -4*r**2 + r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence axxa when four letters picked without replacement from aaxaxaaxxxxxa.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 174723987?\nAnswer: 3, 53, 739, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.2551275 rounded to two decimal places?\nAnswer: 4.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21429 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((5 + sqrt(1300))*4 - (2 + sqrt(1300) + -3)) + 1)*4)**2.\nAnswer: 21120*sqrt(13) + 194944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6715 = -7*b + 5*m, -2*m = -b - 2238. Let f = 3867 + b. List the prime factors of f.\nAnswer: 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**4 + 3*q**4 + q**4)*(-38*q + 14*q + 1 - 15*q).\nAnswer: -39*q**5 + q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0126616241 rounded to five decimal places?\nAnswer: -0.01266","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 288030260*y**3 + 3*y**2 + 47586477 wrt y?\nAnswer: 1728181560","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(2057))**2 - sqrt(17) - ((sqrt(102)\/sqrt(3))\/sqrt(2))**2 - (-4 + sqrt(1700)*6*4))*6.\nAnswer: -1050*sqrt(17) + 12318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 85495575 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 17170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 3*j + 8, -3*j - j = -2*h + 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -18*w**3 + 11*w**2 - 2*w - 3. Calculate the remainder when n(-2) is divided by 63.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 1423*h - 3. Let n(i) = -4*i**2 - i - 1. Let g(a) = -9*a**2 - 2*a - 2. Let d(m) = g(m) - 2*n(m). Determine j(d(q)).\nAnswer: -1423*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/2610)\/(213 + 476353\/(-2235)).\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420767.2l in millilitres?\nAnswer: 420767200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -17\/1361 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 2904\nAnswer: 1\/968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.583966 years to centuries.\nAnswer: 0.08583966","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, r: 1, t: 6}. What is prob of picking 1 t and 3 o?\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 74375030?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 14. Let c be 0*(-4)\/12*-1. Let t be w(c). Find the first derivative of t*u - 5 + 1 - 19*u wrt u.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/8 of a minute?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1512156 is divided by 1511631?\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + i - 315, 7*t = 2*t + 3*i - 305. Let z(p) = -480*p - 70. Let s be z(0). Let w = t - s. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1, -192, -719, -1748, -3447, -5984?\n\"Answer: -28*p**3 + p**2 + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3304 and 181956.\nAnswer: 2547384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**3 + 6*m**2 - 2*m**4 - 11*m - 2 - 25*m + 45*m - 11*m - 9*m in the form l*m**2 + z*m**4 + d*m**3 + x*m + n and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 33256490459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -50 - -34 - (-7 - 2) - 6\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4360 and 374415?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/24*19\/95\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -11. Suppose 4*s - 663 = z, -b*s + z + 825 = -z. Suppose 3*l - s = -g, l + 5*g = 2*l - 29. What is the remainder when l is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2114422403, -2114422397, -2114422389, -2114422379, -2114422367, -2114422353?\nAnswer: -2114422337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from bllbelleb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23685 and 90.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2516285773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 544911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7782 and 1536.\nAnswer: 1992192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - f + 82, -f + 219 = -3*c - 37. Let g be c\/(-6) + 6\/(-4). What is the highest common divisor of 13 and g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.42 - -0.62. Let u = p - -1.5. Let o be (2\/8)\/((-6)\/(-8)). Which is the second smallest value? (a) u (b) -2\/11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 4. Let a be c(0). Let l be (-117)\/12 + 1\/a. Let j = -3 - l. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4520 - 4488. Solve a*h = h - 31 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + ((sqrt(204)*-2 - sqrt(204))*5)\/sqrt(12))**2 - (sqrt(1275)\/sqrt(3) + (sqrt(272)*3 - sqrt(272))))*3.\nAnswer: -399*sqrt(17) + 11523","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -131\/380 and 79\/487200?\nAnswer: 9256800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2217 - 2217 + 1316*q)*(q + 2 - 2) + 5 - 2*q**2 - 5 - 2*q.\nAnswer: 1314*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14386?\nAnswer: 2, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + q - 9 = 0, 2*q = 2 + 6. Solve 0 = 5*d - 10, 5*b + r*d = 5 - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -115*v**6 - 12*v**4 + 72*v**2 - 13 wrt v?\nAnswer: -13800*v**3 - 288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 5 (c) -0.3 (d) 4\/3 (e) 1 (f) 2\/323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-35)\/(4095\/26))\/((-8)\/(-30))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y + 1. Suppose 0 = -2*f - 676 + 678. Let h(j) = 7*j + j + 4 + 1. Give f*h(d) - 6*v(d).\nAnswer: 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244 - 256 = 2*h, 0 = 4*i - 2*h - 28 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/1793 and 71\/1630?\nAnswer: 17930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 146*z - 234. Let l(j) = -438*j + 704. Let i(b) = -8*d(b) - 3*l(b). What is the derivative of i(h) wrt h?\nAnswer: 146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4506 + 4505.7. Which is the closest to -1? (a) v (b) -3\/50 (c) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701711183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 2 - 2)*(-m + 0*m - m) + 3*m - 3*m + m)*(-1 - 7 - 7)*(7*m - m + 2*m).\nAnswer: -600*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.7 - -1.3. Let q = 0.085 + 0.915. Let y = 105.9 - 84.9. Which is the second smallest value? (a) q (b) n (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 4471, 1, -0.1, -28?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/15 + 82676802*h\/5 + 248030404\/15.\nAnswer: 2*(h + 1)*(h + 124015202)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 8 = -27. Let x(z) = 33*z - 102. Let g be x(3). Sort y, 0, g in decreasing order.\nAnswer: 0, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.196+1.7\nAnswer: 1.504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-2)*(-14)\/21*(-30)\/(-12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68 = 24*o + 124. Let g = o - -39. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of -7*g**5\/150 - 5*g**4\/3 - 28*g**3\/15 - 111*g**2. Find j such that q(j) = 0.\nAnswer: -14, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.946 + -0.054. Let z = -1849 - -1982. Which is greater: v or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -103 - 14301413311?\nAnswer: -14301413414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2288 and 13013?\nAnswer: 208208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*sqrt(1008) + -4 + sqrt(1008) + -2)**2 + -3.\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -4\/15, -0.03, 225, 0.2, 0.1, 1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1308 and 20.\nAnswer: 6540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6020868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21099*c**4 - 4*c**2 - 466*c.\nAnswer: -506376*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) - (sqrt(68) - (sqrt(68) + sqrt(68)*1*4)))**2.\nAnswer: 1700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39949 - 35183 = 1608*a + 17 - 9221 for a.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28.08 - -30. Let u = -0.08 - l. Which is the second smallest value? (a) -0.5 (b) 0 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 2*d + 10*j - 8*j, 11 = -3*d + j for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 2*b - b)*(6 + 5*b**2 - 6)*(18*b - 30*b + 18*b + (b + 0*b - 2*b)*(1 + 3 - 6)).\nAnswer: -40*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 3*h - 7. Let y be c(5). Suppose -12*z + 4 + 32 = 0. Suppose 5*n = x + 224, -y = -n - z*x + 24. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -119*a**2 + 273. Let b(s) = -7*s**2 + 16. Let l(m) = -35*b(m) + 2*h(m). Differentiate l(u) wrt u.\nAnswer: 14*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o\/(o\/o**(-18))*o)\/o))**0*o**30\/(o\/o**(-16)))**(-18\/11) assuming o is positive.\nAnswer: o**(-234\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 852631170 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110, 231, 364, 515, 690, 895, 1136, 1419?\nAnswer: 1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 0, 8, 2, -2, -1.\nAnswer: -31, -2, -1, 0, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(396) - sqrt(396) - sqrt(11) - (-1*sqrt(110))\/sqrt(10))*3)**2.\nAnswer: 32076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {n: 3, u: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**4)**(-3\/20)\/(k**1\/(k*k*k*k**(-11))) assuming k is positive.\nAnswer: k**(-48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2964)\/(-48) - 1\/(-4). Suppose k*o = 63*o - 52. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 4 - 4)*(-2*o**2 + o**2 + 3*o**2)*(-592 + 212 - 172) in the form t*o + v + r*o**2 and give r.\nAnswer: 3312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 280271002\nAnswer: 280271000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) + 5*-1*sqrt(85))\/(sqrt(125)*2) + -5 + 2 + 4)*6 + -4.\nAnswer: -12*sqrt(17)\/5 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(121) - (sqrt(121) + -2*((-5*sqrt(121) - sqrt(121)) + sqrt(121))))\/sqrt(11) + 1))**2.\nAnswer: -320*sqrt(11) + 17616","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7213 is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 - -6. Calculate the remainder when 25 is divided by 0 + 11 - (-4)\/t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 578616 + 1839384 = i + 2*o, 4*i - 2*o = 9672000. Round i to the nearest one hundred thousand.\nAnswer: 2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkfkhkhhftfkhnkfh. Give prob of picking 1 h and 1 t.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 195413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 58 = -19. Let q = 55 + l. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 6*w**2. Let i(o) = 88*o + 18. What is i(v(a))?\nAnswer: 528*a**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 10113 (base 4) to base 16\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three quarters of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 50186 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -125, -56, -2\/7?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 786578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 159068 - 90105. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15009773.94 rounded to the nearest 10000?\nAnswer: -15010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*h**2 - 6587511*h + 2635002.\nAnswer: 3*(h - 439167)*(5*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**2 - 6*z - 4. Let u(y) = -y**3 - y**2 - 1. Let i(r) = -u(r) - x(r). What is i(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-7) + 5058\/21. Suppose -5*h + v = -2*p, -143 = -0*h - 3*h + 2*p. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 2 - -3 - (9 - 11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**17\/(y*(y\/(y*y\/y**(-11)))\/y*y)*y**(-17)\/y**(-2\/7))**(-8\/17) assuming y is positive.\nAnswer: y**(-632\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 2\/7 (c) -0.5 (d) 3582\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 9:10 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of m**5\/20 + 7*m**4\/4 - m**3\/6 - 9*m**2 + 110*m. What is c(-21)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 310*d**2 - 6*d + 1. What are the prime factors of r(3)?\nAnswer: 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*r + 26 + 46. What is the nearest to r in -0.5, 3, -0.4, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the first derivative of w**4\/8 + w**3\/6 - w**2\/4 - w\/2 + 5. Let j(p) = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**3\/(d*d**0))\/(d\/(d*d\/(d*d**(-1\/3)*d*d))*d*d)**(15\/4))**(-9) assuming d is positive.\nAnswer: d**(423\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 30*a - 3013. Let s be q(100). Suppose -c - 1 = 4*h - 12, -c = -3. Suppose 10 = -t - h. Which is smaller: t or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-16)\/(-8))\/((-36)\/8) - 26590\/(-9)?\nAnswer: 2, 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -211102022211?\nAnswer: -211102022122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:26 AM?\nAnswer: 3:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -991b + -540b?\nAnswer: -ed26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n + 13. Let o be a(10). Let l be o\/(-6)*(0 - 4). Solve 2*k = -l*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(4) + -4*(sqrt(144) + sqrt(4)))\/sqrt(2) - (1 + 5*(sqrt(288) + 1*sqrt(288))).\nAnswer: -282*sqrt(2) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 519006563 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oooo when four letters picked without replacement from ooododoodooooo.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.0034 to two dps.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5\/30)\/(1\/4).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5\/31 + -27\/217. Let c = 11.13 + -0.13. Let k = -15 + c. What is the closest to a in 2, k, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - f - 4 = -l, 0 = l - 3*f - 6. Suppose -l + 1 = -8*m. Let h = 33 + -22. Which is smaller: h or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.6, 2, -6\/31, 4, 5?\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0011291 and 0.5?\nAnswer: -0.00056455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*3*sqrt(78))\/(sqrt(216) - (sqrt(216) + sqrt(216) + (sqrt(216) - (sqrt(216)*2 - sqrt(216)))))*4)**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 265 a factor of 638417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110268?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1330495 is divided by 949.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a + 6732a7?\nAnswer: 6732b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 24*r**2 - 25*r + 7. Is p(-23) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*h - 36*h = -151 - 134 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**0\/o*o\/(((o\/o**15)\/o)\/o))\/(o*((o*o**(-2))\/o)\/o)**(-1\/14) assuming o is positive.\nAnswer: o**(111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 862645 - 862577 = -17*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 3, i: 1, q: 6, d: 2, v: 2}. What is prob of picking 2 v and 2 d?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 30*q**2 + 2. Let m be c(-30). Suppose -y - m*p = -4*p + 4, 3*y - 4*p + 4 = 0. What is the remainder when 25 is divided by y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + (1*sqrt(15))\/sqrt(3))**2 - ((sqrt(5) - sqrt(5)*-1)*4 + sqrt(125)*-2)**2) + (-2*sqrt(140)\/sqrt(4))\/(sqrt(7) - 2*sqrt(28)).\nAnswer: 10 + 32*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*w - w - 3*s - 2 = 0, 4*w + 12 = -s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.1 + -0.9. Let i = -86 + 85.6. Which is the nearest to 0.1? (a) i (b) k (c) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04150038 rounded to 4 decimal places?\nAnswer: -0.0415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 2:57 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o - 1. Suppose 5*r + 6 = 16. Suppose -3*w = 2*j + r, -3*w + 2 = -4*w - j. Let i be g(w). Is -3 > i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 6*w**2 + 3*w - 38. Let t be b(5). Suppose -4*z + 2*c = -16, -c + 17 = 3*z - 0*z. Solve 5 = 5*m - t*l, 2*m - z*m - l = -3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 1 - ((29 - 21) + 19 - -9).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**4\/4 - 649*m**3 - 865*m**2\/4.\nAnswer: -m**2*(m + 865)*(3*m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1032 times 2.9?\nAnswer: 2992.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 1 = -3*g, 5*g + 5*i - 45 + 5 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((-4*(sqrt(500) + -2))**2 + 0).\nAnswer: -48384 + 3840*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0*g = i - 11, -g = -i - 9. Let b(u) = g*u - u - 2*u. Let r(o) = 3*o + 6. Let s(q) = -1. Let t(h) = r(h) + 6*s(h). Determine b(t(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2378175 is divided by 46.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in centimeters?\nAnswer: 25000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14436\/19 - 760. Let d = f - -77\/95. Let l be 12\/(-9) + 6\/3. Which is the smallest value? (a) -2\/7 (b) l (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(7) + 3*sqrt(7)*-4 + sqrt(7) + sqrt(7)) - ((sqrt(7) - (sqrt(7) - sqrt(7)*1)) + 2)) + -4)**2.\nAnswer: -108*sqrt(7) + 603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 88 or -15254?\nAnswer: -15254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 - (-18 - -59 - 86).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 33207 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01717 rounded to 4 decimal places?\nAnswer: 0.0172","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -4, 6, -2 in descending order.\nAnswer: 6, 5, 0, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -29 - (-9 + 4 + 8)\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06284 + 0.06284. Let l = 407\/119 - -1287163\/2975. Let j = l - 436. Sort -3, j, 1\/3, u in descending order.\nAnswer: 1\/3, j, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 7:33 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4438? (a) 2\/3 (b) -4 (c) -5.7 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) + (sqrt(95) - -3*sqrt(95)))*-2 - -3*sqrt(95)*4)\/(sqrt(5) + (sqrt(5) - (sqrt(10)\/sqrt(2)*6 + sqrt(5))) + sqrt(30)\/sqrt(6)*-4)*2)**2.\nAnswer: 304\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14 + 15. Let f(p) = -6*p**3 - p + 1. What is f(j)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in -3\/5, 0.3, 2, -5, -0.19, 1\/4, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*g**2 - 88*g**2 + 101*g**2.\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*i + 16 = i, -2*y - 4 = -2*i. Let r = -1174 - -255. Let j = -21140\/23 - r. Is y >= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -20*s**2 - 2*s. Let a(b) = -2*b - 19. Determine z(a(i)).\nAnswer: -80*i**2 - 1516*i - 7182","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -121a4bb?\nAnswer: 121a4c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4232 (base 8) to base 2\nAnswer: 100010011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -2*x. Let l(o) be the third derivative of -o**5\/3 - 26*o**2. Calculate c(l(a)).\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-384)\/(-36) - 10 - 38\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 102016835.\nAnswer: 5, 20403367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 2\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 92433*x**2 - 87973 with respect to x.\nAnswer: 184866*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1 - i**2 - 1. Let g(j) = 40474*j + 40484*j - 80976*j. What is z(g(v))?\nAnswer: -324*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3337159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52783783.\nAnswer: 13, 4060291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27429.7095 + -27386. Let z = d - 20.7076. Let j = -23 + z. What is j rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 5*q**3 + 2*q**2 - 29. Suppose -256*y = -173*y - 332. Let i(w) = 2*w**3 + w**2 - 14. What is y*z(h) - 9*i(h)?\nAnswer: 2*h**3 - h**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d**2*n**2 + d**2 + 439*d - 124*n**3 wrt n.\nAnswer: -4*d**2*n - 372*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1884073 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.19, 0.4, 10, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -8*j - 139. Let u be w(-18). Suppose 15*l - 80 = -u*l. Solve g = -5*d + 3*d - 7, -l*d = g + 13 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*x = 4*b + 23, -4*x + b = -14. Let z = -2 - -6. Suppose 55 = x*m - s - z*s, 4*m - 5*s - 70 = 0. List the prime factors of m.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -83 - -88. Solve -5*q - 27 = 4*d, 0*d - 4*q + 3 = -t*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r**2 + 5*r - 5. Let n be p(-6). Suppose -2*g = -n - 5. Suppose g*l = 8 + 37. List the prime factors of l.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 4*u**3 + u**2 + u + 1. Let d be l(-1). Let h = d + 7. Let x be 0\/((1 - h)\/3). What is x rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2001113231 (base 4) to base 6.\nAnswer: -15205125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 15*n + 4. Let f(w) = 7*w + 2. Calculate -4*b(i) + 7*f(i).\nAnswer: -11*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.2 - 18.8. Let b = 21 + i. Let c = 60 + -123\/2. Sort b, c, 0 in descending order.\nAnswer: 0, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 240, 337, 422, 495, 556?\nAnswer: 605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2 and 54743.489.\nAnswer: 10948.6978","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nq when two letters picked without replacement from {q: 13, n: 3}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -221\/10 + 1331\/60. Let q(g) be the second derivative of 0 - 5\/2*g**2 + 17*g + 3\/2*g**3 + f*g**4. Determine q(-10).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - l + 1. Let m be k(-2). Let x(u) = -u**2 + 6. Let v(n) = 3*n**2 - n - 17. Let i(s) = m*x(s) + 4*v(s). What is the tens digit of i(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 157947?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-8)\/(-70)*1190\/680).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 + 4*c**2.\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 2:42 AM?\nAnswer: 7:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -47?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*r - r. Let d be (-4)\/r - 93112\/2. Let q = d + 14558. What is q rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 5*l**3 + 8*l**2 + 2. Let j(f) = f**3 + 4*f**2 - 13*f - 14. Let t be j(-6). Let z(p) = -3*p**3 - 5*p**2 - 1. Give t*z(b) - 5*m(b).\nAnswer: -b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 36*v - 39*v + 2925. Let i = v + -653. Does 46 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 20930, 1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from ddpppddddpdbddbbddbd.\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 914.0330368 rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/((-1)\/10). Suppose 0*n = -5*n + t. Which is greater: n or 1\/6?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/72*4\/(-5)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.7738 - 0.2262. Sort r, -0.1, -14, 2\/5.\nAnswer: -14, r, -0.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 49 - 66. Let s = n - -55. What is the second derivative of 4*g**3 - 32 - 4*g + s wrt g?\nAnswer: 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.92 - 0.08. Let k = -2 - -5. Let n = k + -3.5. Which is the smallest value? (a) 4 (b) n (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 + c**2 - 2*c**2 + (0 + 0 + 2*c)*(1 + c - 1) + (2*c**2 - 2 + 2)*(7 - 2 - 1).\nAnswer: 11*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/156 and -95\/110227676?\nAnswer: 330683028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109 = 2*m + 273. Let z = 1057 - m. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-75)\/50)\/(0 - (-3)\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 402824?\nAnswer: 2, 43, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nennmeljele. What is prob of picking 1 j and 2 l?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 708*w - 41 = 709*w - 2*j, 5*w - 2*j = -221 for w.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 400020 divided by -452?\nAnswer: -885","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -163*z + 162*z = -2. What are the prime factors of z\/(8\/1372) + (-1)\/1?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (1 - 10) + 56 + (6 - (-2 + -5))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**3 - t**2 + 4*t + 3. What is u(-4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**18*i*i*i**(2\/51)\/i assuming i is positive.\nAnswer: i**(971\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 8*c**2 + 3*c + 10. Suppose 259*k - 256*k = -24. What is s(k)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 787752848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 565, 568, 571, 574, 577?\nAnswer: 580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13541355 is divided by 4715?\nAnswer: 4590","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/200*92)\/((-2)\/(-10))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide ((-8)\/36)\/((-9)\/54)*10959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = 12, 5*j - 5*z = 972556 - 972806 for j.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1344)\/1680)\/((-54)\/(-5)).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-141386)\/(-21) - 6\/9.\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/(4\/(-304)*-4). Let j(k) = -k**3 + 19*k**2 + 2*k - 33. Let y be j(h). Find the third derivative of -7*t**2 + 50*t**5 - 3*t**y - 81*t**5 wrt t.\nAnswer: -2040*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 287.\nAnswer: 3\/287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 483\/(-46)*144\/(-216).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f**2 - 1989*f + 998*f + 8 + 949*f + 92.\nAnswer: -2*f**2 - 42*f + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 98 and 16513?\nAnswer: 33026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 8:00 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 8, 1, 50, -32, 4, 0 in decreasing order.\nAnswer: 50, 8, 4, 1, 0, -11, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000196 to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 72 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403 is divided by 68.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 42\/165899?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**6\/p**5*((p\/((p**4\/p)\/p))\/p*p)\/(((((((p**3\/p)\/p)\/p)\/p)\/p)\/p)\/p)*p\/((p\/(p*p**(2\/7)\/p))\/p)*p*p**(-6)*p**(2\/21)*p*p**(-2\/13) assuming p is positive.\nAnswer: p**(335\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/104565 and -50\/815607.\nAnswer: 4078035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 14050 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 6 - 9*k**2 + 2*k + 4 - 2 + 4. Let y(h) = -9*h**2 + h + 12. Let j(d) = -6*c(d) + 5*y(d). What is the units digit of j(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 2*i + 8*i)*((i**2 - 4*i**2 + i**2)*(3 - 1 - 4) + 5 - 5 - 3*i**2).\nAnswer: 10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 8 - r + r**2 - 13 - 3*r. Let n be l(5). Suppose i + 5*p - 19 = n, -3*i + 0*i - 3*p + 69 = 0. Does 10 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3, -5*z + 1 = q - 21. Suppose z*h - 2*h = 12. Let t be (h\/6)\/((-4)\/(-6)). Solve -t = -v + 4 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*h = 178 - 18 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 2*o - 1. Let z be 266\/(-63) + 2\/9. Let l = 23 - 20. Let y(s) = 3*s - 6 - 4 + 5 + l. Give z*n(q) + 3*y(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -97343, -195194, -293045, -390896, -488747?\n\"Answer: -97851*w + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 13*v = -5*w - 7, w - 37 = 5*v. Put -1249, -1, w, 2, 5 in decreasing order.\nAnswer: 5, 2, -1, w, -1249","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + 1)**2 + 4 + -2*sqrt(288).\nAnswer: -22*sqrt(2) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 45*r - 16. Suppose -2*k - 56 = -2*m, -4*m + 2*k = -3*k - 117. Suppose -2*y + 1 = -9. What is the remainder when q(m) is divided by y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11531\/1435 - -22\/205. Let m = 10727\/10 + -1083. Calculate the common denominator of m and n.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309388.6 days in hours?\nAnswer: 7425326.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odd when three letters picked without replacement from duuodddouuooddo?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttl when three letters picked without replacement from {l: 2, b: 1, t: 4, p: 6}.\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - 16545.9474.\nAnswer: -16549.9474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93874293.\nAnswer: 3, 23, 31, 14629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-1 + sqrt(153) + -4 + sqrt(153) - (-5 + sqrt(153)*2)) + (sqrt(153) + (sqrt(153) - 3*sqrt(153)*5) - (3 + sqrt(153) + -1)))**2.\nAnswer: 168*sqrt(17) + 29992","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*l - 19*l - 2496. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61318.\nAnswer: 2, 23, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e - 21bf1b?\nAnswer: -21beed","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43, -49, -69, -109, -175?\nAnswer: -273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1600?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 0 + (0 - -7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0547 + 0.05525. Round r to 5 dps.\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11\/225 - 45371\/225. Let w = -202 - f. Which is the nearest to 1? (a) w (b) 0.3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*d**4 - 5*d**4 + 9*d**4 + (3 - 3 - 2*d**2)*(-131*d**2 + 7*d**2 + 4*d**2).\nAnswer: 254*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1486766, 1486768, 1486770, 1486772, 1486774, 1486776?\nAnswer: 1486778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*i - 13*r + 67 = 100*i, 5*i = 2*r - 76 for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from fbbbbfbbbbbbbbbbfb.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3937, 9432, 14927, 20422, 25917, 31412?\nAnswer: 36907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1762 and 4311614.\nAnswer: 1762","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7192450?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3967946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17348.\nAnswer: 2, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.857, 1\/2, 135 in descending order.\nAnswer: 135, 1\/2, 0.4, -0.857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-1 + 5*r + 2 + 2).\nAnswer: -10*r - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the second derivative of 55*l**4\/4 + 133*l**3\/2 - 2*l + 9. Find the second derivative of x(f) wrt f.\nAnswer: 330","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 5*j**2 + 32*j + 40. What is m(11)?\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + 3. Solve -2*r = -d*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0*(-3 + (-3)\/(-24)*22). Suppose -29*z + 26*z - 135 = u. Is z greater than or equal to -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -237847805.7 to the nearest one million.\nAnswer: -238000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 82157268 to the nearest integer?\nAnswer: 435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (20 - 94)*(2 + 5\/(-2)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -0.07?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 0, -94965 = -5*b - 2*o + o. Let j = 4007 + b. What is j rounded to the nearest ten thousand?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of y**4\/6 + y**3\/6 - 7*y**2\/2 + 5*y. Let a be t(-3). Let q(j) = -j**3 + 9*j**2 - 3*j - 4. Does 12 divide q(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6472365 - 1.\nAnswer: 6472364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -599 (base 11) to base 8.\nAnswer: -1311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o + 90*o - 292149 = 0. What is the thousands digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microsecond in nanoseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -z**2 - 3*z**3 - 7*z**3 + 5*z**4 - 2 + 19*z**3 - 3*z**3 in the form g*z + x*z**4 + f*z**2 + d*z**3 + a and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -28, -4, 1, 5, -78, -1\/4?\nAnswer: -78","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 877 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3016564290 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 112 + -106. Suppose -v*u - 30 = -11*u. Let k = 6 + -4. What is the least common multiple of u and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 174875788 to the nearest integer?\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3690421062 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/2 - -1) + 6. Suppose 12 + 5 = -4*x + k, -21 = 2*x - v*k. Let f(b) = -b - 4 - 2*b**2 + 3*b**3 - 4*b**3 + 2*b. What is f(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-240567)\/(-153) + 1\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 18\/4331 + -3919879\/77958. Let r = -7\/9 - q. What is the common denominator of 11\/42 and r?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86d (base 15) to base 11.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152018970 divided by 5.\nAnswer: 30403794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 12349 times 15?\nAnswer: 185235","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 24031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, 1.8, 4\/15?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -5, 0.4, -3\/4, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 444 divide 263736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 17*l = 608. Find the third derivative of r**2 - 7*r - 15*r - 3*r + 0*r**2 - l*r**6 wrt r.\nAnswer: -9120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (9 - 3)) + 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 215?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 70268 divided by 17567\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -1) + 12 + (-4 - (94 - 140)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 3, e: 11}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -21 + 25. Solve -2*q = 3*m - 5*m + 2, -q = 2*m + b for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.6, -1, 0.2 in increasing order.\nAnswer: -1, 0.2, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*((-1*sqrt(1700) - sqrt(1700))*-1)**2 + ((3*sqrt(1700) + 5)**2 + 4)*1.\nAnswer: 300*sqrt(17) + 28932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, r: 1, n: 5, b: 2, z: 5, s: 1}. Give prob of sequence nr.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**17*d**(-21))**26)**12 assuming d is positive.\nAnswer: d**(-11544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41301 (base 9) in base 5?\nAnswer: 1332332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 5*g + 10. Let h be v(7). Suppose 0*j = f - 5*j + 21, 4*j - h = -f. What is the third derivative of -f - 26*x**2 + 4 - 4*x**4 + 18*x**2 wrt x?\nAnswer: -96*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by -550?\nAnswer: 3\/275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18 - -20. Suppose -3*l + 7 = -z. Solve 0*o = -5*o + 4*s - l, -4*o - 5*s + 14 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110 (base 2) to base 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/6 and ((-13)\/(-10))\/(60\/(-30))?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(2\/13)*l**(-6\/7))**(5\/3) assuming l is positive.\nAnswer: l**(45\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 172018 and 2288?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-4)\/(-160))\/((-5)\/20*-1)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 64\/(-10) + (-6)\/10. Let n(g) = -4*g - 18. Let a be n(w). What is the greatest common divisor of 15 and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27 + -26.7. Suppose 80 + 117 = -m - 5*q, -m + q - 209 = 0. Let b = -1038\/5 - m. Put -2\/5, b, y in decreasing order.\nAnswer: y, -2\/5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**2. Suppose -w + 8 = w. Let g(u) be the second derivative of 15*u**4 + 18*u**4 + u - 37*u**4 + w*u. Calculate g(h(b)).\nAnswer: -192*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the second derivative of z**6\/60 + z**5\/20 - z**4\/8 - z**3\/3 + z**2 + 2*z - 52. Factor x(q).\nAnswer: (q - 1)**2*(q + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b**3 + 295*b**2 - 147*b + 127. Give v(-148).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8)*(1470\/315 - (2152\/(-123))\/(-4))?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does -24228.35 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 64. Let f = g + -16.00019. Round f to 4 dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-164)\/((176\/84)\/(-22)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -17 - 5?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11*p**2 + 27*p - 214. What is the thousands digit of a(25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/12 + 34\/8. Let s = 8 - m. Suppose 0 = -5*f + 4*y + 55, s*f - 5*y + 0*y - 53 = 0. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4544 - 928 = -113*w for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -105 - (-12 + 31 - -5 - 32)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 398, 752, 1106, 1460?\n\"Answer: 354*v + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -290*t**3 + t**2 - 32*t - 86. Is v(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 246, 5, -1\/23, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (1 + -1) - (0 - 9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(6\/(-3)) - -1. What is the second derivative of -4*m**5 - q*m - 6*m + 6*m wrt m?\nAnswer: -80*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.028835+5554765.8\nAnswer: 5554765.828835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -9479, -9488, -9497, -9506?\n\"Answer: -9*l - 9470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8579 a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 f when four letters picked without replacement from iiiifoifififiiiififf?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 169501431 and 9592.\nAnswer: 1199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 10. Suppose 2*t + 12 = -4*p, 3*p - 3 = -t - g. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/15))**(6\/11) assuming c is positive.\nAnswer: c**(-4\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*a**2 + 75*a - 693 + 441 - 9*a**2.\nAnswer: 3*(a - 3)*(a + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-1 - 0) - -1 - 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4575)\/6*-1 + 2\/4. Let u = l - 408. Suppose 24 + u = p. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5842 > -4791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 955*s = 22051 - 20718 - 37623 for s.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w**2 + 15*w - 16. What is l(-11)?\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -216*c = -201*c - 54615. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -468 (base 12) to base 15.\nAnswer: -2db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -26 - -32. Solve -4*m = -z - 5, -4*m + 2 = -4*z - u for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -546.11 rounded to the nearest ten?\nAnswer: -550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 234 and 124002?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x**2 - 6*x + 25. Let p(q) = -5*q**2 - 5*q + 25. Let j(z) = 2*p(z) - 3*y(z). Let f be j(3). What is the greatest common factor of 799 and f?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -105, -53, 147, 525, 1111, 1935, 3027?\n\"Answer: 5*f**3 + 44*f**2 - 115*f - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q. Let m(s) = -19*s - 1. Suppose -5*n - 12*n - 34 = 0. Give n*m(p) - 7*t(p).\nAnswer: -4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 38.3. Let q be ((-108)\/(-378) - (-34)\/28)*2\/3. What is the closest to -0.4 in q, -5, -2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 57 - -66. Let c = u + -51. Suppose 0 = w + 3*w - c. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(55)\/(sqrt(44)\/sqrt(4))*-1.\nAnswer: -4 - sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*p**2 - 37*p**3 + 12*p**2 + 2*p + 9*p**2 to b*p**3 + n + w*p**2 + i*p and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -3*b - 17 + 22, 0 = -b - 2*z + 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 8:37 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2709 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7369*a*x**3 - 8*a*x + 30*x**3 - 404 wrt x?\nAnswer: 44214*a*x + 180*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cdc when three letters picked without replacement from ddccddcddd?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from {a: 4, q: 2, e: 2, x: 1, t: 10}.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -74, 0.3, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7666247 - 0?\nAnswer: 7666247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -39*i + 9. Let v be o(1). Which is smaller: v or -28?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 4*v - 535 = -v, -4*v + 216 = 2*s. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3 = 5 - 2, 0 = 3*b - 8*h - 31 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -64*u + 156*u + 12408*u. Let w be m(-4). What is w rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + 1212?\nAnswer: 1201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 262 (base 9) to base 12\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*n - 12. Let d(p) = -2*p + 3*p**2 - 1 + 8*p - 2*p**2 - 10*p. Let j be d(n). Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + -7. Suppose -3*c = 4*w - y - 4, 0 = 5*c - 3*w - 20. Solve -2 = -c*k + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -19 + -1b?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -n - 7*n - 8*n as r*n + p and give r.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -4 - ((6 - 10) + 6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-7)\/3 - -2)*0. Suppose -x + 3*w + 8 = d, 2*x - 4*w = -0*x + 12. What is the smallest common multiple of 22 and x?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g + 5. Let i be v(-9). Let m be i\/20 - (-33)\/15. Let k(a) = 5*a - 4*a - 4 + 5 - 4*a**m. Determine k(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**2 + 9*z + 3. Let g(l) = -l**2 + 3*l - 1. Let b be g(5). Is a(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*0.1200909.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 5*y + 3 = 0, 9*h + 9 = 5*h + y for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3\/2, -22 in ascending order.\nAnswer: -22, -4, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31623678 to the nearest integer?\nAnswer: 5623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2078797 rounded to 3 dps?\nAnswer: -0.208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**3 - 10*p**2 + 2514*p - 206. Calculate o(33).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2630989\/614 + 4285. Is h at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12 - 10. Suppose 7 - 3 = k*p, 26 = -4*b + p. What are the prime factors of 2412\/27*(b\/(-4))\/1?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -534450430?\nAnswer: 534450424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 2*t + 8 = 0, -3*z + 5*t + 8 = -z. What is the units digit of z - 2547\/(-8) - (-171)\/(-456)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -c**2\/2 - 3*c - 1. Let g be f(-5). Suppose -12*z + 8*z + 20 = 0. Solve z*u + 5 = -0*u - y, 1 = g*u + y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*b + 18842 - 18843 - 2*b - 4*b**2 as j*b + z + y*b**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7598?\nAnswer: 2, 29, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, m: 2, y: 4, f: 1, w: 4, l: 4}. Give prob of sequence fml.\nAnswer: 1\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 j, and 2 k when four letters picked without replacement from jjgjqkkdsjds?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i + 8. Let n(l) = -l - 19. Let h be n(-25). Let f(v) = 2*v - 19. Let p(o) = o - 10. Let x(r) = -3*f(r) + 5*p(r). Calculate h*x(s) - 5*q(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zd when two letters picked without replacement from zzdddydyddzzd?\nAnswer: 7\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-14\/5)*(i\/(i\/i**24))\/i)**(-2\/11) assuming i is positive.\nAnswer: i**(-202\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 320013?\nAnswer: 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/39884 and -45\/125021?\nAnswer: 6501092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 930, 918, 890, 840, 762, 650, 498?\n\"Answer: -x**3 - 2*x**2 + x + 932","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 - 11*l + 21. Let w be y(9). Put w, 2, -2 in decreasing order.\nAnswer: w, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 + 1b94?\nAnswer: 1b92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 25\/170*8\/10\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o + 8. Let h be j(-4). Suppose -2*t = 5*m, 3*t = -3*m + t + h. Let b = m + 3. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one fifths of a gram in milligrams?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 176 + -108. Suppose 44 + u = 2*j. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 14*a**2 + 4*a + 14. Let d(u) be the second derivative of 5*u**4\/12 + u**3\/6 + 5*u**2\/2 - 1102*u - 1. Give -11*d(n) + 4*v(n).\nAnswer: n**2 + 5*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 0 and -608625976104.\nAnswer: -608625976104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6637 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-8)\/(-20))\/(4\/10). Let r be (-12)\/5*(-10)\/3. Let b = r - s. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3.4 smaller than 0.95?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4*s + 12. Let b be g(-4). Let f(c) = 5*c**3 + 4*c - 2. Let x(k) = k**3 + k - 1. Determine b*x(o) + f(o).\nAnswer: o**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4*d*h**3*u + 5*d*h*u + d*h + 77*h**3 wrt u.\nAnswer: 4*d*h**3 + 5*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11120 (base 6) in base 10?\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 - -0.34. Which is the closest to -0.2? (a) -0.4 (b) 1 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 1. Suppose -12*f + 3 = -15*f. Let p(q) = -4*q**2 - 40*q + 108. Let g(b) = f*p(b) + 8*k(b). Find x, given that g(x) = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2557 + -12572\/5. Which is smaller: 43 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j + 7*j - 3*j)*(2*j**2 + 5*j**2 - 5*j**2) + 15*j + 53207*j**3 - 50*j - 53202*j**3 as k*j**3 + i + a*j + f*j**2 and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 70.2 + -9.2. Let n = 90 - r. Let p = n - 33.6. Round p to zero decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1637 - -1642. Let h(f) = 3*f**3 + 3*f**2 + 5. Let t(z) = -2*z**3 - 2*z**2 + z - 4. Give a*t(i) + 4*h(i).\nAnswer: 2*i**3 + 2*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3835?\nAnswer: 5, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1606790627?\nAnswer: 13, 103, 1199993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 49006 in 0.3, -4, 0.03?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1)\/4)\/((-12)\/16). What is the third smallest value in s, -3\/4, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36 - -8?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 31614000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01737248 rounded to five decimal places?\nAnswer: 0.01737","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3 = -5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 + 5*z**2 - 5*z - 3. Let s be j(-12). Let x be (-6)\/(-10) + s\/60. Let d = x - -443\/28. Which is the nearest to -2\/7? (a) 1\/4 (b) d (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (8\/12)\/((-2)\/(-6)). Let i = 217 - 213. Factor 5 - i*f**b + 6*f**2 - 3 - 5*f + f.\nAnswer: 2*(f - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 + 0. Let n = 1818\/13 + -140. Let t be 8\/(-4) - -3*4\/10. Put n, q, t in ascending order.\nAnswer: t, n, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**6 + 560*u**5 + 7*u**2 - 234*u?\nAnswer: -120*u**3 + 33600*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -60*o**2 + 18*o. Let m(b) = 17*b**2 - 5*b. Let a(c) = 5*i(c) + 18*m(c). What is the remainder when a(-3) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o**2 + 2*o + 6*o**2 + 3*o**2)*(-3*o**2 + 6*o**2 - o**2) to b*o**2 + h*o + t*o**3 + j*o**4 + r and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -9*s**2 - 9*s + 11. Let b(a) be the second derivative of a**4\/3 + 2*a**3\/3 - 5*a**2\/2 - 2*a - 15. Determine -5*b(c) - 2*o(c).\nAnswer: -2*c**2 - 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 3)*(2*c + 0*c - c) + 0*c - c + 0*c + (-2*c - 2*c + 6*c)*(-1 - 1 + 1) + 11 - 11 - 8*c as w + s*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 5237.083222 to 0 decimal places.\nAnswer: 5237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 1 - 2. Let n(c) = 2 + c**2 - 4 - 2*c**3 + c**d + 0. What is n(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 742 + -737. Solve 2*t = -3*n - 14, n - 11 - 7 = o*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27666 and 106?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, 50, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 53 in -3\/4, -5, 61, 14, -45?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -46, -444, -1584, -3856, -7650?\nAnswer: -13356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 209 - 205. Put -2, r, 29 in ascending order.\nAnswer: -2, r, 29","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 6*b**2 + 2. Let m(g) = 3*g**2 - 383. Determine m(l(y)).\nAnswer: 108*y**4 + 72*y**2 - 371","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (196 + 16 - 28)*(270 - 104*l - 270) to w*l + g and give w.\nAnswer: -19136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**2 - 94*w + 14959. Determine k(-178).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/893 and 1*11 - 24009\/2869.\nAnswer: 893","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 4302?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 - -339?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the first derivative of -1\/2*l**3 - 7 + 1\/24*l**4 - 3*l**2 + 0*l. Let c(k) be the second derivative of r(k). Give c(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1507, 2958, 4405, 5848, 7287?\n\"Answer: -2*v**2 + 1457*v + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2038 = -25*l + 862. What are the prime factors of l?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + 3 + (0 + (sqrt(325) - (-2 + sqrt(325) + -5)))*-3 + -3)**2.\nAnswer: -2904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5566408 minus -112904?\nAnswer: -5453504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 + -33 - (5 - 9 - -5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6672 and 38760?\nAnswer: 10775280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w + 78. Let o be x(19). Solve -o*t + 0*t = 2 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15386787579 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 12333, 15067, 17763, 20403, 22969, 25443, 27807, 30043?\n\"Answer: -3*g**3 - g**2 + 2758*g + 9579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 8) to base 15\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189023 is divided by 62924?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w + w - 2 - 4*w - w - 3 + 3 + w - 2*w + 0*w + (3*w - 5*w + 0*w)*(-1 + 2 + 1) + 635*w - 4200 + 4200.\nAnswer: 626*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -82518650a - 3?\nAnswer: -825186511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7552 and 7552?\nAnswer: 7552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 - 178 = -5*a. Does 10 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 5*v + 5. Suppose -a = 4*g - 33, 4*a - 6 - 7 = g. What is d(g)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 12*w - 7. Let m be v(4). Let z = m - 41. Solve 3 = s - 0*s + 2*g, z = 4*s + 5*g for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84661244 and 3235?\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211164 is divided by 52787.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5*x - 10 = 0, 0*y - 5*y - 2*x - 23 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -l**2 - 3*l**2 - 4*l**2 + l**2 + 9*l**2.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 divided by 24281059?\nAnswer: -18\/24281059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*(o\/(((o*(o*(o*o**(-2\/15))\/o)\/o)\/o)\/o))\/o)\/o*o**(3\/5))\/((o*o*((o\/(o**(2\/3)*o))\/o)\/o*o)\/(o*o\/(o**(1\/8)*o*o)*o)) assuming o is positive.\nAnswer: o**(131\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000200583 to six dps.\nAnswer: -0.000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -12 - 14\/5*t**5 + 20*t + 0*t**2 + 0*t**4 + 0*t**3. Find the first derivative of j(i) wrt i.\nAnswer: -56*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55181.85 millennia in decades?\nAnswer: 5518185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 69 and 230.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -3*v**3 - 112*v**2 + 73*v + 11. Calculate f(-38).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.9 + -0.1. Let i = k + 3. Let r(o) = o + 7. Let s be r(-7). Which is the closest to s? (a) 3 (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13965 and 31920.\nAnswer: 223440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3 + 3\/(-3) - (361700\/(-4200) - -85)?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97851 is divided by 2386.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5034 is divided by 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448475 is divided by 1196.\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 174 = -4*d - p + 496, 0 = -3*d + 3*p + 249. Let g = -22 + 28. Let u = 15 - g. What is the greatest common factor of d and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t**3 - 8*t + 65*t**2 - 65*t**2 - 2*t**3.\nAnswer: 9*t**3 - 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2 = y. Let s = -101 + 168. Let n = -69 + s. What is the nearest to y in -20, n, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8437*n**4 + n**3 + 11330*n.\nAnswer: 101244*n**2 + 6*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -14*o**2*t**2 - 778*o**2*t - 264*o*t**2 + 67*o*t + 2*o + t wrt o?\nAnswer: -28*t**2 - 1556*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/99 and 61\/15?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 25, 58, 105, 166, 241, 330?\nAnswer: 433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3196929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)*y\/(y**4*y))\/(y**(-4\/9)\/y*y**(-9\/7)) assuming y is positive.\nAnswer: y**(-143\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -171 = -34*k + 12*k + 27 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 192*w - 666 - 11241 = 765 for w.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(7\/83300) + (3 - -1). Let x = i - 6265. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 15 = 10. Suppose 3*u - 19 = 4*d, -3*d - u - 23 = -q*u. What is the closest to 0.1 in -5, d, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34513453*0.2\nAnswer: 6902690.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/5*m**3 + 2\/5*m**2 - 24\/5 + 16\/5*m = 0 for m.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*p**3 + 10*p**5 - 11*p**3 + (-p**3 + 0*p**3 - p**3)*(-2*p + 2*p + 2*p**2) - 2*p + 2*p**4 + p**5 - 3*p**5 + 4*p**5.\nAnswer: 8*p**5 + 2*p**4 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154412966?\nAnswer: 2, 443, 174281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 606\/41 and 14 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 5 - (5 - (-6 + 9) - 1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -130332?\nAnswer: 130330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6 - 1\/((-3)\/44). Let i = 22 - l. Solve -v + i = v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4989 or -24942\/5?\nAnswer: -24942\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-172)\/(-10) - (-1)\/(-5). Let d = h - 44. Calculate the smallest common multiple of 10 and 23 - (d\/(-3))\/(-3).\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 110 and 14589674?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 + 60. What is the nearest to 1.03 in -4, -1, -2\/7, h?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-1\/43)*l*l\/(l*l\/(l**10\/l)))**36)**(1\/4) assuming l is positive.\nAnswer: l**(3861\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7449 + -7457. Is d != -1713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 19*f**2 - 2*f - 2. Let a(b) = 14*b**2 - b + 5. Let y(w) = -95*w**2 + 6*w - 39. Let p(h) = -15*a(h) - 2*y(h). Determine 2*p(c) + 3*u(c).\nAnswer: 17*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/3)\/(3\/36). Put t, -11, -1 in ascending order.\nAnswer: -11, t, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-4*(2 + 45\/(-20)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -42 (c) 2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0704 - -1.0704. Sort 2\/11, m, -4, 3.\nAnswer: -4, 2\/11, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, 5, 403 in descending order.\nAnswer: 403, 5, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + -127. Let q = w - -124. Suppose 0 = 2*d + 3*d - q. Calculate the remainder when 25 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 759 + -603. Let r = 283 - o. Which is greater: r or -2\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -198619, -397282, -595977, -794704, -993463, -1192254, -1391077?\nAnswer: -1589932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - 1\/(-1 + (-42)\/(-52)). What is the second biggest value in b, -3\/4, -4, -9?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 6*o**2 - 84*o + 50. Let f(l) = -4*l**2 + 56*l - 33. Let q(a) = 8*f(a) + 5*r(a). Let g be q(13). Solve 2*y - 5*y + g = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/10*1*(-9)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1 - -2) + (4 - 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/3)*t)\/t**5 assuming t is positive.\nAnswer: t**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 54 + -51. Suppose -t - 4*t = 3*r - 561, 0 = -p*t + 9. What are the prime factors of r?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3923*p - 5*x = 3920*p - 1, -5*p - 3*x - 21 = -8 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**4 - 232*d**3 - 6218*d**2 - 31805*d - 45005. Let l(n) = -n**4 + 4*n**3 + n + 1. Let h(w) = -a(w) - 5*l(w). Suppose h(o) = 0. Calculate o.\nAnswer: -50, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -98 + 121. Suppose -i*d = -27*d + 192. What is the greatest common factor of 32 and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51\/(-68)*2*(-100)\/6 is divided by 37\/5 - (-4)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 110916?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 816 and -96499.\nAnswer: -78743184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 1 = j + 4, -j - z = -3. Which is smaller: 4 or j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -2*y + 8, 5*y + 114 = -4*l + 134 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 673 = 193. What is the highest common factor of 390 and h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5, -3*o + 6*o = -3*w + 7977. Suppose w - 378 = 8*j. List the prime factors of j.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -598.7 - -659.7. Which is the nearest to j? (a) -5\/2 (b) -3 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3852 * 21.8.\nAnswer: 83973.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/4 of a litre?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 4*p - p)*(2*p - 2*p + 3*p**2)*(4*p**2 - p**2 - 5*p**2).\nAnswer: -12*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1927 - -1933.983. Let y = -4 - -11. Let s = y - d. What is s rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 2*u - 9. Let i be l(6). Suppose -12 = 3*o - 2*o - 2*z, 0 = 2*z - 12. Solve -k + o = -i for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00072231 rounded to 6 decimal places?\nAnswer: 0.000722","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l**2\/3 + 96784*l\/3 + 80908956 = 0 for l.\nAnswer: -2291, 26487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (((-33)\/(-2))\/(-33))\/(1\/(-924)). What is the greatest common factor of q and 165?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 898555614 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1589*d + 6629 - 5984 = 11262 + 14807 for d.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 1\/157329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000614 rounded to 7 decimal places?\nAnswer: -0.0000061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19300 and 33900?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4586.\nAnswer: 2, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(153) + sqrt(153)*-3 + 1)*-2 + 5*(sqrt(153) + -2)*-4*3.\nAnswer: -168*sqrt(17) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -69, -5, 2\/5?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*(3*sqrt(243) + 2)*6 + 2)**2.\nAnswer: 102060*sqrt(3) + 1972269","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -294015 smaller than -294015?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(1800) + 0 - (sqrt(200)*-6)**2).\nAnswer: -7202 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2895.3ns?\nAnswer: 0.0028953","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 876 + -871. Let b be -5*((-9)\/5)\/3. What is the derivative of -21*j**3 - 15*j**3 - v - 23 + 0*j**b wrt j?\nAnswer: -108*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 670\/7 - 96. Let w = 0.5 + 0. Which is the second biggest value? (a) w (b) 0 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.3 - -0.3. What is the third biggest value in 0.2, 14\/5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 1 + 7)*(f - 10*f - 8*f) as s + m*f and give m.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77 - 116*o**2 - 5*o**2 + 22*o**2 + 22*o**2 + 34*o**2.\nAnswer: -43*o**2 + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of 0 + 1\/12*g**6 + 0*g**4 - 9\/2*g**3 + 0*g**5 + 4*g**2 - g. Differentiate k(a) with respect to a.\nAnswer: 30*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (19\/(-19))\/((-2)\/(-74) - 0). Let c = u + 39. Solve 3*x - 2 = 2*g + c*g, -1 = -3*g + x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 74630 to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 - -111110000?\nAnswer: 111101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + (-35)\/(-10))\/((-8)\/(-64)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((w\/w**(-2))\/w*w*w)\/w)\/w*w)**(-1\/8)*w*w\/(w\/(w**7*w*w)*w)*w*w**(2\/5)*w*w)**(2\/5) assuming w is positive.\nAnswer: w**(481\/100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 12543 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -19*r - 31. Suppose 3*n - 39 = -155*k + 159*k, 0 = -6*n + 30. What is l(k)?\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 2*s**2 + 2 - s**2 + 2*s - 3 - 15*s**3 - s. Give f(1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4*3\/(-8))\/((-3)\/(-1954)). Let l = -124 + f. What is the hundreds digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2*z**2)*(0 + 3 - 5)*(-1 - 6 - 5) + 661 - 2*z**2 - 122 + 241.\nAnswer: -50*z**2 + 780","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -431, -975, -1737?\nAnswer: -2717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.04623 and 128 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 4, s: 8, t: 2, v: 1}. Give prob of picking 3 g.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + h = -64. Calculate the greatest common divisor of h and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8931 is divided by 2960.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f**3 + 34*f**2 + 4*f + 28. Let r be u(-11). What is the highest common divisor of r and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ngn when three letters picked without replacement from vngxvvllnvxvxvgvlvl?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 7076.53 to the nearest ten.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 115\/3 + -385\/12. What is the common denominator of c and -49\/5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 872?\nAnswer: 870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**3\/3 + 100012*r**2\/3 - 5886784*r\/3 = 0. What is r?\nAnswer: 0, 59, 24944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 59464970 to the nearest integer?\nAnswer: 7711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*f - 16 = -f - p, 0 = 2*f - 2*p for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -24502 plus 1?\nAnswer: -24501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 50*h + 67. Let o(v) = -102*v - 134. Let q(s) = 11*b(s) + 6*o(s). Is 79 a factor of q(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*-1*-6 + 5*sqrt(44)\/sqrt(4))*5.\nAnswer: 55*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 68\/(-18) - 14\/63. Let h be (-9)\/q*8\/6. Suppose h*n = 169 - 55. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/6, -5\/1382, 1, -1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 137*1\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/(-22) + 2 + -2 + -4?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -2*x - 5. Let p be i(-2). What is the tens digit of (498\/(-6))\/(p + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -309248875 divided by 4757675\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(63) + sqrt(7))*-6.\nAnswer: -24*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a day in minutes?\nAnswer: 10656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 267203695 a multiple of 517?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 - 9*u**2 + 12*u + 11. Let b be y(-10). Let f(m) = -12*m - 7. Does 15 divide f(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99120 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/5)\/(442\/(-4420)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 6*u - 4*u - 37, -2*u + q = -7. Suppose 3*v = -5*o + 1 + u, -5*o + 4*v + 14 = 0. Suppose o = -k + 33. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14*-2.065\nAnswer: -28.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -0.5. Which is the smallest value? (a) o (b) 2\/5 (c) 4\/5 (d) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.94 + -0.06. Let g = -5 + 4.8. Let f = g + 1.2. Put -0.2, f, i in increasing order.\nAnswer: i, -0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*u - 16 = 5*u, -4*l + 32 = 3*u. Suppose -l - 5 = -n. Is n a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, 0.1, 28741\/3, -1\/4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 774 times 947114\nAnswer: 733066236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-2))\/4*27807\/897?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -l**5\/60 + 5*l**4\/12 - 5*l**3\/6 - l**2. Let w be x(4). Calculate the highest common divisor of 171 and w.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1884\/72)\/157)\/(3\/66)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from {z: 9}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 + 3 - 134*f - 67*f + 37*f - 33*f to the form r + k*f and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 g when four letters picked without replacement from sgogsgosoog?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/50251775 and -61\/24335.\nAnswer: 50251775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of -f**5\/20 + f**4\/12 - 3669*f. Let q(m) = 2*m**3 - 4*m**2 + 7. Calculate -q(c) - 4*r(c).\nAnswer: 2*c**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 59*f**3 - 32*f**2 + 163*f - 44. Is 18 a factor of l(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 961093 to the power of 1\/3, to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233273 is divided by 115788.\nAnswer: 1697","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b + 3*b)*(5 - 4 + 1) - 2*b + 47*b + 83*b.\nAnswer: 138*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1152535254 to the power of 1\/3, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -0*p - 37. Suppose -3*n - 7 = -p. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -53630, -4, 8 in descending order.\nAnswer: 8, -4, -53630","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-4) + (-3)\/12. Let t = -91 + 93. Solve o = -5*l - c, 0 = l + t*l + 3*c - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-10)*(-10695)\/(-8556)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/5 less than -3.46?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8\/(-10))\/(12\/1290). Let s = 89 + a. Solve -2*d = -s*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8041 and 869374.\nAnswer: 473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 140960.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2544, 2, -4\/3.\nAnswer: -4\/3, 0.2544, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 + 27*n - 135. Determine c(-41).\nAnswer: 439","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 17*w**2 + w + 19. Let u be y(-17). Suppose u*v + 30 = 3*j + 2*j, v - 15 = -5*j. Solve 4*m + 3*x = 4, 2*m + j = m - 2*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 18*w + 54. Let r(n) = 1. Give 4*h(m) - 216*r(m).\nAnswer: 72*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 145*v**2 + 21 + 135*v**2 + 135*v**2 - 404*v**2. Let z(k) = -3*k**2 - 5. Calculate 2*f(j) + 9*z(j).\nAnswer: -5*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 q when two letters picked without replacement from cknfq.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-48)*-9)\/(156\/(-32))?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1519775)\/(-16430)*(-6)\/(-15)*1.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**3 + 24*k**2 - 40*k - 1. What are the prime factors of j(21)?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36 and 44.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkkmmwxdkkmddkdddkkr. Give prob of sequence mx.\nAnswer: 3\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - (-51)\/15 - (-8592)\/895?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166 - -115. Let r = m - -54. Let o = 3425\/4 - 861. Put r, o, 4 in descending order.\nAnswer: 4, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -171.387*4.\nAnswer: -685.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/167709 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 64, 234, 508, 886, 1368?\n\"Answer: 52*v**2 + 14*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h**2 - 18*h**2 + 8*h**2 + 15*h**2.\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 3*w + 16 = 0, 2551*q + 16 = 2555*q + 5*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 16*u**2 - 3*u - 4. Let w be i(3). Suppose 3*p + 9 = -3*b, 9*p - b = 6*p + 11. Suppose 3*q - w = p*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 3) to base 10.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 + 14 = -31*v + 498 + 340 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2349910 and 15318.\nAnswer: 782520030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23953, -95900, -215809, -383680, -599513, -863308, -1175065?\nAnswer: -1534784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 92 - 92 + 150*b**2 + 832*b**2 - 233*b**2.\nAnswer: 749*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a = 13*a + 5*a - a + 459 for a.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -322, -2536, -8554, -20278, -39610, -68452, -108706?\n\"Answer: -317*i**3 + 5*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 3*a = 12, -5*h = 4*a + 17 - 6. Let u = 551 + -1143\/2. Let j = 23 + u. Put 2, j, h in increasing order.\nAnswer: h, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9126319, -18252636, -27378953, -36505270?\n\"Answer: -9126317*r - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-72)\/(-32))\/(2\/296) is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 3*j + 6*j + 59 - 134.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 342.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 - 5*b**2 - b - 4. Let a = -24 + 19. Calculate the remainder when 12\/(-15)*(-15)\/6 is divided by f(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 2*i + 112 = 0, 3*l + 4*i - 122 = 18. 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: Simplify ((d\/(d\/(d\/(d**(-12)*d)*d*d)))**(-15)*(d*(d*d\/(d\/(d*d\/(d**(-6\/5)\/d)*d))*d)\/d)**(-5\/6))**(-8) assuming d is positive.\nAnswer: d**1728","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 16*j**3 + 2*j**2 - 1. Let r be o(1). Suppose r = 4*q - 3. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 + 3*b + 3. Let w be f(3). Suppose -g + 196 = 5*d, w*d - g = d + 77. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*v - 9 = 0, -44*o + 46*o + 17 = -v. Sort 5, 3, -4, o, 10 in decreasing order.\nAnswer: 10, 5, 3, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 436872609 a multiple of 248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21328 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 11*q**2 - 25*q - 39. Let p(m) = -2*m**2 - m - 5. Let o(y) = -5*p(y) - w(y). Factor o(d).\nAnswer: -(d - 32)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1354 - 2?\nAnswer: -1356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38.8 + 34.8. Let x = -449 + 451.99. Let n = x + 0.01. Which is the smallest value? (a) r (b) n (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 205013678?\nAnswer: 2, 3109, 32971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 19984935.\nAnswer: -4\/19984935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 - z. Let g be b(0). Let t be g\/(-2 + -1 + 2 + 2). Let k(m) = m + 1. What is k(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*j**3 + 8399683*j**2 - 49323060*j.\nAnswer: 36*j + 16799366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 42? (a) 3529 (b) -1\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 3. Let r be b(0). Suppose 0 = -5*z - 3*i + 19, -z - r = -0*z + 4*i. What is the first derivative of 0 - 1 - z*f**3 - 2 wrt f?\nAnswer: -15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 15 + 0 = 0. Suppose -a + t + 19 = 2*a, -a + i*t + 25 = 0. Solve -4*w = 3 + a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -3*i**2. Let l(r) be the first derivative of 4*r**3 + 71. What is l(o(q))?\nAnswer: 108*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2. Let s(z) be the third derivative of -z**8\/4032 + z**5\/30 + 6*z**3 - 159*z**2. Let m(b) be the third derivative of s(b). Give m(u(j)).\nAnswer: -20*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-4*1*sqrt(85) + 1*sqrt(85)*-6))\/(sqrt(55)\/(sqrt(11) - sqrt(396)) + sqrt(180)*2).\nAnswer: -300*sqrt(17)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 27279 and 66682?\nAnswer: 600138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35*(-37778)\/(-637) + (-6)\/(-21) and 48.\nAnswer: 8304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the third derivative of 5*c**4\/8 + c**2. Let i = -155 + 156. Let x be h(i). Solve -g + 4*g - x = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 0*a - 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -2*m**2 - 25*m - 11. Let u be d(-9). Let h(a) = u*a**2 - 24*a**2 - 18*a**2. Let c(j) = 0*j - 3*j + j. What is c(h(n))?\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*w**2\/9 + 2134652*w\/9 - 123416294\/9.\nAnswer: 2*(w + 213523)*(5*w - 289)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*p**3 - 3 - 27*p**3 + 8*p**3.\nAnswer: -p**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1\/21)\/c**(-4\/7)*(c**3)**(18\/11))**(2\/79))**(-1\/7) assuming c is positive.\nAnswer: c**(-2510\/127743)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 357 + 0?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 2\/5, 8, -8025.\nAnswer: -8025, 0, 2\/5, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 q, and 1 c when four letters picked without replacement from kkkqqkqqkkhqkqckk?\nAnswer: 54\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 - 4 = 4*n. What is the first derivative of 5 - 25*w + n*w - 36*w wrt w?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0, -354?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = f + 12, w = 3*w + 6. Let g(l) be the third derivative of -2*l**2 + 0*l + 1\/60*l**5 + 1\/24*l**4 - 1\/3*l**3 + f. Factor g(a).\nAnswer: (a - 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11170253833.735950299 - -11170253672.7. Let k = c - -0.036436299. Let x = k + 161. What is x rounded to five dps?\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, t: 3}. What is prob of sequence tjtt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180 + 228. Is z a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 29277, 59682, 91203, 123840?\nAnswer: 157593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01921087 to three decimal places.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aogf when four letters picked without replacement from ffosjfjjajjfg.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8209 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 3*n + 3. Let d be t(-3). Suppose 5*l = d*b - 376, 0 = -b + l + 127 - 1. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -59994 + 59993.99999951526. What is m rounded to seven dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*m + 1. Let d = 1.56 - 0.16. Let z = 1.8 - d. Sort z, m, 6 in descending order.\nAnswer: 6, m, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -137 and 0.4.\nAnswer: -54.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45)*6*2.\nAnswer: 36*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.362349 millennia in years?\nAnswer: 5362.349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -0.2 (c) -2\/65 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + (sqrt(1088) - (5 + -2*sqrt(1088))) + 2 + sqrt(1088) + -2 + (-1*sqrt(1088) + sqrt(1088) - sqrt(1088)) + 5) + 3)**2.\nAnswer: -5280*sqrt(17) + 245284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*o**5 - 10143*o**4 - 5*o**3 + 811023*o**2.\nAnswer: 240*o**2 - 243432*o - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3971 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 71681 - 71683. Let q = -15 + 54. Which is the nearest to -1\/4? (a) q (b) 3\/4 (c) -4 (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 19389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46531, 46536, 46539, 46540?\n\"Answer: -q**2 + 8*q + 46524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*z**3 + 9912*z**2 + 8197215*z + 16354806 = 0. What is z?\nAnswer: -1651, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1101001?\nAnswer: -1101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**0)**(-39)*(l**(2\/5)\/l)**(5\/16))\/(l**(-2\/27)*l**(-2\/31))**2 assuming l is positive.\nAnswer: l**(1201\/13392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**9\/l)\/(l\/((l**(-1\/6)*l)\/l)))\/(l**(-1))**(-2\/37))\/(((l**(-3\/5)*l)\/l)**(-7))**(-2\/43) assuming l is positive.\nAnswer: l**(332899\/47730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/12 + 1\/2. Suppose 5*b + 2*r - 257 = 0, r - 1 + 0 = v. Does 17 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29, -48, -59, -56, -33, 16?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34022591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1633709185?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3984101 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 667*m - 1143*m + 128*m - 1844*m in the form x + c*m and give c.\nAnswer: -2192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -q**9\/63 + q**5\/20 + 3*q**2\/2 - 5*q. Let v(t) be the first derivative of h(t). What is the third derivative of v(a) wrt a?\nAnswer: -960*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/(-15)*(-55)\/(-1). Suppose m - 1 = -0*m + 5*b, 0 = m - 4*b. What is the common denominator of m + ((-5211)\/h)\/(-9) and -51\/20?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/5, 0, -0.1, 5\/4, 207?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add 26.55 and -5.\nAnswer: 21.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 98803439 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -3)\/((-35)\/112)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 + 95*y**3 - 285*y**2 - 315*y + 1350.\nAnswer: -5*(y - 15)*(y - 3)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v**2 - 5*v**2 + v**2)*(-4611*v**2 - 1 + 4610*v**2 - 31 + 27*v) as i*v**2 + c*v**4 + x + j*v + d*v**3 and give d.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 18*s**2 + 40*s + 4. Let n be j(-20). Suppose 5*c = -25, 2*y - n*c - c - 33 = 0. Solve -6*q + 4*q - y = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 300 * 0.34.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15892?\nAnswer: 2, 29, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -29*u + 15. Let q(y) = -33*y + 15. Determine -4*q(a) + 5*t(a).\nAnswer: -13*a + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 84 - 24. Solve 8 = v*d - 6*d + 4*z, 5*d - 10 = 2*z for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*(o\/(((o\/(o*o**(-16\/7)))\/o)\/o*o*o))\/o*o)*o)\/(o\/(o\/((o*(o**(-20)\/o)\/o)\/o))))**26 assuming o is positive.\nAnswer: o**(4420\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2, 528, -4, -3, -570 in increasing order.\nAnswer: -570, -14, -4, -3, 2, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 103 + -103. Let h be (3 - (s - -5))*-5. Suppose -4*d + v = -799, -8*d + h*d - v = 401. What is the hundreds digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -4*o**2. Let l(v) be the first derivative of 117 + v + 269*v**3 - 266*v**3 - v. Determine a(l(u)).\nAnswer: -324*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183.4 or -442?\nAnswer: -442","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - 52. Let h = 59.5 + a. Put -1\/8, -2, h in ascending order.\nAnswer: -2, h, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38 by -255.\nAnswer: -38\/255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 418 (base 9) to base 11\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*n - 139, 0 = -5*h + 6*n - 2*n + 174. Suppose -y - y + h = 0. What is the greatest common factor of y and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 432 and 509688.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 4*u - 2. Calculate the least common multiple of o(8) and 4\/3 - (-112)\/42.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19513302 to the power of 1\/4, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1492*b - 815*b + 426*b - 62073 = 0 for b.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(108\/160) + 4.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u = 5*x + 18*u + 11, 0 = u - 1. Let d(o) = -8*o + 4. Let a(l) = 2*l - 2. Let y(i) = x*d(i) - 6*a(i). Let j(g) = 24*g. Calculate y(j(r)).\nAnswer: 288*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14554 and 16806040?\nAnswer: 766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 52*u - 9. Let w(a) = -27*a + 5. Calculate -4*h(t) - 7*w(t).\nAnswer: -19*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 439267145 a multiple of 2155?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -4*f - 13. Let m be j(12). Let q = 84 + m. Solve d + 7 = -2*v, v + v = 5*d + q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 0 + 0 - 36*y - 2.\nAnswer: -36*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**3 + 4*j**2 + 9*j - 20. Let y be n(5). Let x(g) = -g**2 - 3*g + 25. Let d be x(y). Solve -6*w + d = -w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.74609 + -2.709. Round w to 2 decimal places.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 55 and 460?\nAnswer: 5060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -481.\nAnswer: 2405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 12*o**2 - 6*o + 68. Give s(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 4 = -4*n. Let f be n - (1 + 0)*-16. Let s be 5 - 6 - f\/(-20). Is 0 != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -0.2, 0.3, 1\/28, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 3*i + 4. Let r be l(3). Let p = -2384 + 2387. Sort r, p, -0.6.\nAnswer: -0.6, p, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2376*c**4 - 2394*c**4 + 4846*c**4 + 19*c**2 + 2 to q*c**3 + y*c + l*c**2 + f*c**4 + g and give l.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 439, 3498, 11791, 27934, 54543?\nAnswer: 94234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -119, -3, 1, 120, -8 in increasing order.\nAnswer: -119, -8, -3, 1, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 70\/11? (a) 0.6 (b) -18 (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.053 (c) 1\/2 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -55628247 and -0.1?\nAnswer: 5562824.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 328 + -325.5. Let h = u + 17.56. Round h to zero dps.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1062919\/50 - 21257. What is the common denominator of -33\/130 and a?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 691598852 to the nearest integer?\nAnswer: 26298","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.5526 and 103.\nAnswer: -365.9178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 323856 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 + 2*n + 10. Let s be v(4). Suppose -3*h = -3*k - s - 13, k = 5*h - 21. Suppose 0 = -h*o + 27 + 41. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z - 499*a + 495*a + 24, 0 = z + 6*a - 36 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13862, 13863, 13864?\n\"Answer: i + 13861","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3 = 5*m, m = 6*m + 5*r - 15. Let o = m + 5. Let g(y) = y**3 - 4*y**2 - 2*y + 4. Give g(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-11 + (26 - 15) - -15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2947 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -80 + 377. Let z = j + -208. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 70476.0777 seconds?\nAnswer: 0.11652790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5156106*l**6*u**2 - l**2*u**2 + 5*l**2*u - l*u**2 - 322*l*u + 3*u**2 wrt l?\nAnswer: -618732720*l**3*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q + 1. Let d = -4 + 5. Let z be t(d). Find the second derivative of 15 - 15 - z*m**2 + m + 0*m wrt m.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4979 at most 4955?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 2:33 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20143114 (base 6) in base 16?\nAnswer: 8c056","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.32 + 0.08. Sort -4\/29, 1, w.\nAnswer: -4\/29, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -22 - -2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, n: 2, j: 2}. Give prob of sequence hjjn.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -32 and -0.18636.\nAnswer: 5.96352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, -0.5, -292, -5, -2\/9 in decreasing order.\nAnswer: 5, 0.5, -2\/9, -0.5, -5, -292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.35 + -579.35. Let d = 546 + x. What is the biggest value in 1, d, -2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = -2*p + 12, -4*v - 4*p - 15 = 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 2*b + 8, -b = -0*b + 3*r + 7 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15 - 139)*(25\/(-145) - 0). Which is bigger: 20 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4076918*a**3*t*v**3 + a**3*t*v**2 + 4*a**3*t - a**2*t*v**2 - 2*a*t*v**3 + 5*a*t*v**2 - 269*v**2 - 13*v wrt v.\nAnswer: -24461508*a**3*t - 12*a*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/6462742 and -21\/2288?\nAnswer: 51701936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25616252 is divided by 14375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -157?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 976 minus -704?\nAnswer: 1680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 12) to base 10\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1381910542 to the nearest integer?\nAnswer: 37174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -3, -2.\nAnswer: -4, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2376 and 972?\nAnswer: 21384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -14*v**2 + v. Let s be a(-1). Let n be (-6)\/(-15) + 6\/s. Solve -4*x + x - 12 = n for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 62679*b**3*k**2 - 21*b**3*k - 4*b*k**2 + 1326*b*k wrt k?\nAnswer: 125358*b**3 - 8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2 - 0)*(-52)\/8?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49283*b + 2772*b**3 + 49283*b - 98566*b.\nAnswer: 2772*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -4240*w. Let h(b) = 2*b + 219. What is h(f(l))?\nAnswer: -8480*l + 219","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21276 - 12516. Suppose -19*b - 2699 + j = 0. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*w - 2289 = 14*w. What is the remainder when 435 is divided by w?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/90 and -157\/12690?\nAnswer: 12690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2449943?\nAnswer: 61, 40163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32 + 0)*35\/(-140). Suppose -2*a - 5*w + 2*w + 9 = 0, -4*a + 5*w = -7. Suppose 0*k = k - 3*s - 8, 4*k + a*s = 17. Solve 7 = k*g - c for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -424 - -2123\/5. Find the common denominator of k and -39\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 8 + -15 - (-15 - -1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(275))**2 + 3 + 5 + -4 + sqrt(1331) + (4 + sqrt(1331))*-5.\nAnswer: -34*sqrt(11) + 260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*w - 2 + 6 + 0 - 4.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5539.9999992206 - -5540. What is d rounded to 7 dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14151 - -16351. Calculate the greatest common divisor of w and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -475, -479, -483, -487?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/4*(-294)\/(-21). Let q = -1 + k. What is the remainder when 38 is divided by q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 6)\/((-120)\/150)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20109033 is divided by 275466.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14265434957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nznnznzynz. What is prob of picking 1 y and 2 z?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5824*u**3 + u + 2950*u**3 + 2*u**2 - 2*u**2.\nAnswer: -2874*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 1586 = 6*q - 7*q, 3*z + 2*q = 4788. Calculate the highest common factor of 16 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 - -1) - (2 - (-4 - -4)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6778.\nAnswer: 2, 3389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -174, -223, -354, -609, -1030, -1659, -2538, -3709?\n\"Answer: -7*y**3 + y**2 - 3*y - 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9024 divided by -8?\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 11270544\/360 - (-4)\/(-60) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**3 - 4*a**2 - 12*a + 10. Let f be i(5). Sort 0.4, -2, f in decreasing order.\nAnswer: 0.4, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = 61*b - 18*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*s = 41*s + 2*w + 9, -3*w = -2*s + 19 for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 - 279 = -3*d. What is the greatest common factor of d and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 456 and 348?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-16)\/(-12) - 2\/(-3). Suppose v*p + p = 6. Suppose -q + p*u + 7460020 - 260030 = 0, 2*u - 14400010 = -2*q. Round q to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n**2 + 3*n + 5. Let h(t) = -t**2 - t - 2. Let s(w) = -5*h(w) - 2*v(w). Let g be 0\/1 - (1 + -1). Let f be s(g). Is f > 2\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 262911738 to the nearest integer?\nAnswer: 641","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 759 and 1353.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 3 = 3*k, 4*k = -5*q + 2*q - 4. Let v be (-1)\/3 - (-2)\/(-3). Put -4, q, v in descending order.\nAnswer: q, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**5 - 4*o - 22*o + 52*o**3 - 5*o + 3*o**5 - 26 - 23*o - 4*o**2 + 30*o**4.\nAnswer: 2*(o - 1)*(o + 1)**3*(o + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -232*z**2 + 2 - 2*z + 6*z - 19*z**3 + 231*z**2 to y*z**2 + i + x*z + a*z**3 and give a.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1913457?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 3700.6 to the nearest ten.\nAnswer: 3700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*(-154)\/1617?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 - 97. Let o be 3*4\/36 - 4140\/108. Let m = o - d. What is the remainder when 13 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 28.2, 2\/7, -4170?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*q + 3*q = -1016. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8353.\nAnswer: 8353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 869, 871, 873, 875?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 0 - 1\/2*p**3 + 7\/4*p**5 - 2*p + 1\/6*p**4 + 5\/2*p**2. Is i(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f - 1. Let i = 2688 - 2689. Give t(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d - 26. Let y be v(14). Let b(m) = -m**3 - m**2 - 2*m - 1. Let z(x) = x**3 + x + 1. Let r(t) = 2*b(t) + 3*z(t). Let u be r(y). Is 2\/47 < u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of -n**5\/15 + 5*n**4\/6 - 4*n**3 - n**2. Factor b(r).\nAnswer: -4*(r - 3)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -175451, -175456, -175465, -175478, -175495, -175516?\n\"Answer: -2*f**2 + f - 175450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the third derivative of -s**7\/70 - 31*s**6\/40 - 3*s**5\/2 - 364*s**2. Factor k(h).\nAnswer: -3*h**2*(h + 1)*(h + 30)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from vvddvddaaddadddddadv?\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b - 9. Let k be d(4). What is the smallest common multiple of (-66)\/(-9) + 2\/3 and k*(-1)\/3*-3?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2021230 - 22?\nAnswer: 2021202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + o - 52 = 0. List the prime factors of o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/18*((-168)\/(-20))\/(-21)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.286008 millennia in centuries?\nAnswer: 2.86008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2 + 1\/6*q**5 + 0 - 6*q + 35\/6*q**3 - 2*q**4.\nAnswer: q*(q - 6)**2*(q - 1)*(q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/(((k\/k**0)\/k)\/k))\/(k**(-5)\/k))**(-4\/7))**41)**(-13\/4) assuming k is positive.\nAnswer: k**(4264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c**2. Let u(j) = 19*j**2. Let h(f) = -7*s(f) + 2*u(f). Let p(g) = 2*g. Let v(d) = -2*d. Let w(q) = p(q) + 2*v(q). Calculate w(h(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 2:59 AM?\nAnswer: 1:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - 3 + 3 + (0 + 10 + 9*t - 7)*(-t + 3*t + 0*t) + 2*t**2 - 5*t**2 + t**2.\nAnswer: 17*t**2 + 6*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 5:57 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/25)*h*h)\/h)\/(h**(3\/23)*h)*h**(11\/3)*h*h\/h**(-10\/3) assuming h is positive.\nAnswer: h**(5146\/575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 6*n**2 - n + 6. Let d be k(-5). Let t = -7 + 4. Let w = 15 + t. Calculate the highest common divisor of d and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50037325 is divided by 1211.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 + a**2. Let q(w) = w**2 - 28*w + 40. Let k be q(27). Let p(r) = -43*r**2 + 6*r**2 - 4*r**3 + k*r**2 + 32*r**3. What is -p(f) - 24*y(f)?\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2720737652?\nAnswer: 2, 1297, 524429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5975658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 8*r**2 - 1 - 2*r + 5*r + 3. Let i(f) = 3*f**2 + f + 1. Let b(n) = 11*i(n) - 4*m(n). Let j be b(4). What is the greatest common divisor of j and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {w: 2, i: 1, j: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -194*k + 2. Let l(d) = -2526*d + 27. Determine 54*f(s) - 4*l(s).\nAnswer: -372*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in twenty-five sevenths of a week?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(75) + 1)*-2 + sqrt(75) + 0 + sqrt(75)*-2)**2 + -1.\nAnswer: 60*sqrt(3) + 678","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a minute in milliseconds?\nAnswer: 82500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2b (base 13) in base 2?\nAnswer: 100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 990 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 44857.686?\nAnswer: 134573.058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from emeeeeemmmeeemeeme?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -387, -770, -1153, -1536, -1919?\n\"Answer: -383*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 171341 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -16 - -3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 17, s: 1}. Give prob of sequence qq.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -454*i + 57 = -473*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -599.9 (b) -1.77 (c) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -203 + 4*m**3 - 3*m**3 - 4*m**2 + 4*m**2 + 603.\nAnswer: m**3 + 400","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(5\/6)*w**(-1\/13))**33 assuming w is positive.\nAnswer: w**(649\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22836 and 22?\nAnswer: 22836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28465506 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1352*l + 1356*l = 36 for l.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -506, -85, 2\/5, 4.\nAnswer: -506, -85, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 1 - f + 5*f**3 + 2*f**2 + f**2 + 2*f**3 - 3*f**3. What is the remainder when g(2) is divided by (-2)\/(-2)*(-2 + 17)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*b + 5*u = -2*u + 4*u + 276, b - 2*b - 3 = -4*u for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*h*u + 64*h - 7*u wrt u?\nAnswer: -3*h - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 7305.1769 rounded to the nearest ten?\nAnswer: 7310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -350.1 + 350. What is the closest to -7\/4 in -3\/5, -0.07, f?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6557352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 511 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, 2\/231, 4, -0.4 in decreasing order.\nAnswer: 4, 2\/231, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c - 10*c + 1 + 2. Let j(o) = 7*o - 2. Let i(b) = -5*a(b) - 4*j(b). Does 3 divide i(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-27)\/s)\/s*s**(-33) assuming s is positive.\nAnswer: s**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 - 10*t - 5. Let i be p(13). Suppose i = -7*j + 146. Calculate the smallest common multiple of 4 and j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - i**2 + 2*i - 1. Let t = -241 - -240. Let j(b) = -b**2 + 4*b - 141. Let f(v) = t*j(v) + 2*d(v). What is the first derivative of f(u) wrt u?\nAnswer: -6*u**2 - 2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/151 (b) -1\/4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -144?\nAnswer: 13e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 - 101305?\nAnswer: -101305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -7*z**2 - 472*z + 352. What is n(-68)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45401 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -309 - -499. Let j be (-2650)\/(-14) + (-2)\/7. Is j greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 AM and 5:06 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - p**2 + 2*p + (6921 - 6921 - 893*p**2)*(-1 + 3 - 3 + (-2 + 0 + 1)*(2 + 4 - 4) - 1 + 1 + 1).\nAnswer: 1785*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*w + 4*p + 12, -5*w - 3*p - 6 = 0. Suppose 2 = t - w*t. Solve 2 - 5 = -d, 3*u - t*d - 6 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(152)\/(sqrt(8)*-1) + (sqrt(38) - (sqrt(266)\/(sqrt(1008) + sqrt(7)) - sqrt(38)))\/sqrt(2).\nAnswer: -1 + 12*sqrt(19)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**5 - 12*v**4 + 48*v**2 - 48*v.\nAnswer: 3*v*(v - 2)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 divided by 71?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-168)\/165 + (-4)\/22. Let w be ((-4)\/6)\/(4\/12). Are m and w unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 628, 623, 618?\n\"Answer: -5*x + 633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 26. Let x(l) = -91402*l**2. Determine d(x(s)).\nAnswer: -91402*s**2 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/2300 and 181\/1066200?\nAnswer: 24522600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16736.223 months in years?\nAnswer: 1394.68525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18989248363 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -3*f**3 - 552*f**2 + 7*f - 1291. Determine d(-184).\nAnswer: -2579","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 68 in 5, 0.2, -0.01?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the third derivative of 17*k**5\/10 + k**4\/4 - 5*k**3\/3 - 25*k**2 + 4. Is 10 a factor of w(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -4*q - 67, 6*q = -2*u + 458 - 530 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -64 by 8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -163\/60 and 47\/9.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4590987 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 801*c + a = 798*c + 125, -5*a + 25 = 0 for c.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1129 from 26085451.3.\nAnswer: 26086580.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 - 2)*(15*t - 23*t + 39*t) + 3 - t - 3 + (-3 + 1 + 0)*(-t + 0*t + 3*t) + 2 - 2 + 2*t.\nAnswer: -34*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 26349569, 52699135, 79048701, 105398267?\n\"Answer: 26349566*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10657 + -10657.15. Which is the fifth smallest value? (a) 0.07 (b) 5 (c) o (d) -7 (e) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 319 - 55*r**4 - 319 - 5*r + 5*r - 2*r**4 + (-2*r**3 + 0*r**3 + 3*r**3)*(2*r + 4*r - 7*r)*(2 + 2 - 3).\nAnswer: -58*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -206 + 205.99999802. What is b rounded to seven decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1001 + 1016. What is the hundreds digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.24 - -0.16. Put 2, -5, y in descending order.\nAnswer: 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v + v + 44*v + 11.\nAnswer: 65*v + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**4 - s**3 - s + 1. Let y(d) = 5*d**5 - d**4 + d**3 - 5*d**2 + 6*d - 6. Let t(c) = -6*b(c) - y(c). Factor t(m).\nAnswer: -5*m**2*(m - 1)*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of -3 - (-1 - 240)\/((-1)\/(-1)) and 18?\nAnswer: 2142","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 0*w - 3*w)*(-2*w + 7*w - w + 0*w - 4*w - 3*w + (5*w - 4*w - 3*w)*(0 - 4 + 6)).\nAnswer: 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 18*2\/(-12)*-3. What is the tens digit of 93\/w - (-12)\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, e: 7, h: 1, g: 6}. What is prob of picking 1 g and 2 e?\nAnswer: 18\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1432166 to the nearest integer?\nAnswer: 1197","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -265, -251, -215, -145, -29, 145, 389?\n\"Answer: 2*v**3 - v**2 + 3*v - 269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r**3 - 19 + 6*r - 4*r**3 + 17 + (-53*r**2 - r**2 - 10*r**2)*(-2*r + r + 0*r) + (-3*r + r + r)*(r**2 - 4*r**2 + 2*r**2).\nAnswer: 64*r**3 + 6*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64045 is divided by 712?\nAnswer: 677","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 - (1 + -4 + 6) - (216 + -212)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1132.0875427 to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -23608026 divided by 3?\nAnswer: -7869342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 13\/5 of a century?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002415 rounded to 4 dps?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 164*j**2 + 165*j**2 + 170*j**2 - 645*j**2 + 169*j**2.\nAnswer: 23*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 347 + -329. What is the remainder when c is divided by 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 divided by 59\nAnswer: 48\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (-44)\/(-286) - 9683\/(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 3*m - m)*((2 + 0 + 0)*(5 + 2 - 5) + 2 - 3 + 2 + (1 + 0 + 1)*(1 - 4 + 1) + 3 - 3 + 2).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 14 + 42 = 0. Let m = -26 + l. Solve -5*a - 13 = m*o, -4*a + 2*a + 3*o = 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11*(-1 - 123)*(17980\/1276 + 14\/(-1)).\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*d + 3*d - 4*d)*(27*d + 30*d - 64*d - 71) in the form k*d**2 + b + w*d and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 4, g: 5, m: 5}. Give prob of picking 2 m and 2 k.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17651368 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5237*w - 3057. Let n be b(-8). Round n to the nearest 100.\nAnswer: -45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 3*d + 12, 4*v - d - 3 = 1. Solve v = -5*o + 13 - 38 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.4 + -4. Sort g, -5, -10.\nAnswer: -10, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 10*n**2 - 2*n + 15. Let b be y(10). Let h = 8 + b. Let p(g) = 4*g - 14. Let v be p(4). Solve -h = v*m - 3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by -5 - 3*(-8)\/3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 67*l**2 - 32*l - 393. Is t(-67) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of 5*a**2\/2 - 31. Let d(o) = -4*o**2. What is r(d(x))?\nAnswer: -20*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, -0.5, 2227?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rvu when three letters picked without replacement from yrtgvtu?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/3)\/(3\/(-1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 + -103. Which is the nearest to 0? (a) u (b) 1\/18 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*g**3 - 4*g**2 + 2*g + 2105 wrt g.\nAnswer: 72*g - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20013 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1)\/(112\/32))\/((-9348)\/777) and -49\/36.\nAnswer: 28044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4\/2873 - -37325\/17238. Calculate the common denominator of q and -115\/2156.\nAnswer: 6468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 + -10. Let q = -7 - -15. Suppose -o = 4*l - p, 2*o - q = -l + 14. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (8\/(-5 + 3))\/(-1). Suppose m + y*m + 20 = 0, 4*m + 28 = 4*x. Suppose 3 = h, 2*g + x = 3*h - 2*h. Solve 3*n + 9 = -g*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.3 times -103572?\nAnswer: 1377507.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c + 17. Determine g(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -12*g**2 - 189*g + 851. Calculate r(4).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 6*i - 13. Let f be -5 + (5 - 5)\/5. Let u be q(f). Find the second derivative of u*j - 3*j**2 - 14*j**2 - 14*j**2 - 50*j wrt j.\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*f - 118 = 0, -4*t + 2*f + 227 = 7*f. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let g(u) be the first derivative of -16 + 1\/2*u**2 - 39*u. Give g(a(n)).\nAnswer: -n - 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-18 - 2)\/(2 + -4). Suppose -m = 4*m - g. List the prime factors of (-2)\/((4\/m)\/(-18)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15612, -15950, -16288, -16626, -16964, -17302?\nAnswer: -17640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/24 of a minute?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -4 + 11 + -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 - k - 1. Let v(y) = 10*y**2 - 4*y - 10. Give 3*u(q) - v(q).\nAnswer: -4*q**2 + q + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 = 21*n - 17*n. Let a = 5 + -3. Differentiate 4 + 10*b - n*b - a wrt b.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61788 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9, 98, 341, 816, 1601, 2774, 4413?\n\"Answer: 13*i**3 - i**2 + i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from qqqqqqqqqq?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5 + 11. Let p be r - ((-1)\/1 - -1). What is the highest common factor of p and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or 353?\nAnswer: 353","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 7*b - 34 = -0*b - 2*j, -4*j + 48 = -b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -22608 minus 6?\nAnswer: -22614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -72 - -e?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 9\/10*n**4 - 44\/5*n**3 + 28\/5*n + 19\/5*n**2 - 36. Determine b, given that i(b) = 0.\nAnswer: -1\/3, 2\/3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 61 + 24655?\nAnswer: 24726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -11*h + 5. Calculate the remainder when 75 is divided by q(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1530 - 1153403?\nAnswer: -1151433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - 2*1*sqrt(3))**2 + 2)*-5.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6401\/8157 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*b - 8*b + 5*b)*(1 + 0 - 4) - 68*b + 159 - 159 + (0 - 2 + 0)*(-3*b + 3*b - b) as d + h*b and give h.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2 + 16. Let v(h) = 3*h**2. Determine v(i(r)).\nAnswer: 3*r**4 + 96*r**2 + 768","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -34283225 + -3?\nAnswer: -34283228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 15 - 0. Let s be 2\/(-21) + (-64)\/(-84). Sort j, 0.1, s in increasing order.\nAnswer: 0.1, s, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -159, -206, -285, -396, -539, -714, -921?\nAnswer: -1160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -a + 1 - 1 + (-1 + 0 + 3)*(-a + 1 - 1) - 3*a - 5 + 5 + 74*a + 1 - 42*a - 73*a.\nAnswer: -47*a + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 121, 135, 153, 175?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 203188205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 times 546?\nAnswer: -12558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + -2 + sqrt(98))**2*6.\nAnswer: -504*sqrt(2) + 804","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 1080*t**2 + 44*t - 4. Let v(y) = -539*y**2 - 21*y + 2. Let m(z) = -3*d(z) - 5*v(z). What is the second derivative of m(p) wrt p?\nAnswer: -1090","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 348779\/11 or 31706?\nAnswer: 31706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 95894, 383576, 863038, 1534274, 2397278, 3452044, 4698566?\n\"Answer: -m**3 + 95896*m**2 + m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34743 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11*a**2*k**2*y**2 + 20*a**2*k**2*y + 15*a**2*k*y**2 - 3*a**2*y - a*y + 2*k**2*y wrt y?\nAnswer: -22*a**2*k**2 + 30*a**2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -9*g**3 - g**2 - 2*g - 1. Let a be o(-1). Suppose 0 = 2*s + 3*q - a, 3*s - s = q + 5. Suppose 12 = s*i - 3*c, i - 7 = -2*c + 9. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 + 53. Find the first derivative of -15 + r - u*r + 13*r wrt r.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 384 - 380. Suppose 18*x - 16*x = -4*u + 18, m*u - 20 = -4*x. Solve -5*s + x = 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.153627 litres to millilitres.\nAnswer: 6153.627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 + -34902?\nAnswer: -348cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 37 = b - 2*y, -2*b + 4*y = 2. Let t = b + 11. Solve -4*l = -5*l + t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 183550049 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(1584) + (-1*sqrt(1584))**2)*1*-5 + -5 + -1.\nAnswer: -15846 - 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - sqrt(33)\/(sqrt(6)\/sqrt(2)) - sqrt(11)) + (sqrt(1100) + sqrt(1100) + 1 - sqrt(11)))*-3)**2.\nAnswer: 324*sqrt(11) + 32085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 41.17 - 39.17. What is the closest to n in 1.17, 2\/11, -1?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 33003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 855263147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 193 a factor of 118367672?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6*(62\/(-6) - -10). Put -60, y, 4 in descending order.\nAnswer: 4, y, -60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 7*s**2 + 2*s - 8. Suppose 2*l + 2 = 16. Let w be d(l). Let n(a) = -3 + w - 7*a - 3. Let t(u) = u. Determine n(t(y)).\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - 31110324?\nAnswer: -31110311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1294*p + p**2 - 1122*p - 3*p**2 + 626*p + 4908*p to y*p**2 + h*p + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -2\/29 (c) -108 (d) 4 (e) -5 (f) -0.04\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -217\/3 or -73?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -636 - 60450?\nAnswer: -61186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6*((-1062)\/135 - -8))\/((-2)\/(-5)). Solve s*o + 33 = -3*o + 4*c, 2*o = -c - 8 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**3 - 3 + 3 + (-3*f**2 + 5*f**2 - f**2)*(0*f + 0*f + 2*f) + 2*f**2 - 3*f**3 - 2*f**2 + (f + 2 - 2)*(-f**2 - 2*f**2 + 5*f**2).\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/5, 40, 126, -2, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96*d - 77760 = 42*d. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 10*a**2 - 7*a - 12. Let o be d(9). Suppose -m - o = -2*g, -g + 3*m + 10 = g. What are the prime factors of -1 + g + (0 - -6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128230.\nAnswer: 2, 5, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 a, and 1 v when four letters picked without replacement from {u: 3, a: 3, v: 3, g: 4}.\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -1 - 383*a + 192*a + a**2 + 190*a. Let t(y) = 48*y**2 - 8*y - 10. Let w(v) = 8*b(v) - t(v). Let k(n) = -n. Calculate k(w(l)).\nAnswer: 40*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -7*v + 0*v + 3 + 4 - 6*v**3. Let d(f) = 6*f - 6 + 73*f**3 + 52*f**3 - 120*f**3. Determine 7*d(t) + 6*h(t).\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -670, -695, -730, -775?\nAnswer: -830","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -5*f + 4. Let b(l) = l**2 + 2*l**2 - l - l**2 + 7*l**3. Let j be b(1). Calculate the greatest common factor of f and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -96*m - 929. Let i be r(-10). Solve -i*a + 27*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xq when two letters picked without replacement from xxqxxxxxq?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 103 + -89. Solve w*u - 4 = 12*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millimeter in micrometers?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = m - 19, -3*i + 5*m - 35 = -8*i. Suppose 0*j = -i*j + 9. Let n(r) = 9*r - 7. Is n(j) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 2*z + 2. Let f be x(2). Suppose -f*y = -y. Is -2\/23 < y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 6*d + 3*d)*(-21 + 0 + 1).\nAnswer: 80*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that -4*u**5\/7 - 184*u**4\/7 + 572*u**3\/7 + 4160*u**2 + 131408*u\/7 + 14720 = 0.\nAnswer: -46, -8, -5, -1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11555 is divided by 1776?\nAnswer: 899","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/((-198)\/429*(-1)\/12*-2). Solve 212*z - 72 = g*z for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = k - 82, 18*k + 10*n = 23*k - 380. What is the greatest common factor of 2004 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 0.4 (b) 3 (c) 4 (d) 62.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11554496?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/(-6))\/((-59)\/(-177)))\/((-15)\/6)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1053 and 25389?\nAnswer: 228501","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 15*x**2 + x - 7. Let f(o) = 29*o**2 + 2*o - 15. Let t(b) = 6*f(b) - 13*s(b). Let g be t(1). Let l be (360\/g)\/(14\/4165). Round l to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*x**3 + 3*x + x + 2*x - 21*x + 12*x + 68 to j*x + m + k*x**2 + u*x**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -30 + 27. Which is the fourth smallest value? (a) -4 (b) 5 (c) 2\/3 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*o**3*w - 325*o**3 + 16*o*w + w**2 - 2 with respect to w.\nAnswer: -7*o**3 + 16*o + 2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 66 - 64. Factor 1\/3*a**j - 1\/3*a + 0.\nAnswer: a*(a - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/2577 and 23\/24?\nAnswer: 20616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.2 (b) -6\/5 (c) -4 (d) -48\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 - -8.7. Let g = 404 - 721. Let l = -317.4 - g. Which is the smallest value? (a) 1 (b) d (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 + -24. Suppose m = -5*g + 912 - 367. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -48 + (13 + 5 - 8) - -16?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + -6. Let m = z + 8.6. Let i = m - 1.35. Round i to 1 dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of -w**6\/120 + w**5\/60 + 5*w**4\/24 + w**3\/3 - w**2. Let y be -4 - ((-6 - -2) + 3). What is the units digit of q(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -3 - -4 - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 579740 and 175.\nAnswer: 2898700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 5*s**3 - 39925*s**2 - 279720*s = 0.\nAnswer: -7, 0, 7992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g. Let n(z) = 87728691*z**2. Give n(r(b)).\nAnswer: 87728691*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -1. Suppose j + j + 2 = 0. Let m be 55\/22 - (-3)\/2. Let r(c) = -m*c + 124 + 3*c - 123. What is j*r(b) + g(b)?\nAnswer: b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 53560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2*p**3\/13 - 150820*p**2\/13 - 3618816*p\/13 - 21711168\/13 = 0.\nAnswer: -75386, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.416 - -6.1642. Round j to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m + 1. Let b(r) = -2*r + 1. Let a = 271 - 277. Give a*b(p) + 5*h(p).\nAnswer: 2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -201951, -807701, -1817247, -3230559, -5047607, -7268361?\nAnswer: -9892791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*s + 0*s + 0*s)*(0 + 0 + 4*s) - 4*s + 4*s - s**2 + 56*s**2 - 8*s + 12*s**2 - 7*s**2 to i*s + u*s**2 + n and give u.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*q**2 + 204052*q - 320584 = 0. What is q?\nAnswer: 11\/7, 7286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 960173 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*b + b**2 + 356 + 2*b**3 - 387 - b**3 to i*b + x*b**3 + f + c*b**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -b**7\/70 - 127*b**6\/60 - 7*b**5\/3 - b**4\/12 + 2*b**2 + 34*b. Find the third derivative of u(d) wrt d.\nAnswer: -72*d - 1524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180) - (sqrt(180) + 1) - sqrt(25)\/sqrt(5)*3.\nAnswer: -3*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3\/5 - 162*t**2\/5 + 66*t - 166\/5 = 0.\nAnswer: -83, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1330330 to the nearest integer?\nAnswer: 1153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -559.774 + 561. What is r rounded to 1 dp?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -814.514 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, r: 15}. Give prob of sequence gr.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -5. Let u(s) = s**3 - 10*s**2 - 24*s + 2. Let b be u(12). Suppose -4*l + 17 = b*k + 7, 15 = -4*l + 3*k. Put 2, r, l, 1 in decreasing order.\nAnswer: 2, 1, l, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7818 is divided by 260?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*j + 5*j - j)*(-j**3 + 5*j**3 - 2*j**3) + (-4*j - 23*j - 4*j)*(-j**2 + j**2 - 2*j**3) + (-j**4 + 2*j**4 - 5*j**4)*(0 - 9 + 1))*(-2 + 3*j + 2).\nAnswer: 294*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000686112706 rounded to 5 dps?\nAnswer: -0.00069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -20382 (base 9) in base 10?\nAnswer: -13439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2, -54, -0.215, -9 in decreasing order.\nAnswer: 0, -0.215, -2, -9, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 4*o + 1. Let t = 2 - 5. Let l(y) be the first derivative of y**2 + y - 1. Let q(w) = -w. Let k be q(-5). Give k*l(s) + t*r(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2559478.\nAnswer: 2, 131, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (59\/(-1))\/((-3)\/3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 33659740?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 118, 460, 1036, 1852, 2914, 4228?\n\"Answer: x**3 + 111*x**2 + 2*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dduumveueudedmme. Give prob of picking 1 v and 2 e.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9126387, 18252777, 27379167, 36505557?\n\"Answer: 9126390*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/4 (b) 2\/3 (c) -1.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 60486*v**2 + 8. Let z(s) = -s**2. Determine g(z(d)).\nAnswer: 60486*d**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/5 - 12\/(-4). Suppose 0 = -4*z + 16, 4*z + z = 4*y + 44. Let s be 12\/y*(1 + 0). Which is bigger: s or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 - 41 = 10*r. Let x be r - (-1)\/(-1) - -22. Calculate the greatest common factor of 36 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + (20 - 15 - (2 + 8))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -45841.638 rounded to the nearest 100?\nAnswer: -45800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 418 and 352.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28 (base 14) to base 2.\nAnswer: -100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/6 - 220\/(-55)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11 + 4)*38\/(-133). Let p(l) = l. Give p(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 107 - 102. What is the lowest common multiple of n and 35?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 2 - 1)*(4 - 5 + 2) - 1 + 3 - 8)*(20 - 20 + p) + p - 2*p + 0*p + (0 + 0 - 1)*(p + 2*p - p) + 1 - 1 + p to h*p + g and give h.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*(x*(x*x*x*((x\/(x*((x\/x**(-20))\/x*x)\/x))\/x)\/x)\/x*x)\/x*x\/(x**(-9)\/x))\/(x**1\/(x**(-13)\/x)) assuming x is positive.\nAnswer: x**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -2*n**3 + 2*n**2 - n + 2. Determine a(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 4*d**2 - 3*d. Let r(s) = s**2 + 4*s - 7. Let k be r(-6). Suppose w = -4*p + 7, -p - p = k*w - 17. Let u be v(w). Is u at least 3\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 + 48. Suppose o*v - 13 = -1. What is the smallest common multiple of v and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (15\/(-15))\/((-1)\/527) + -2 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 AM and 10:09 AM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1977?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(12*a - 13 - 2*a - 9*a).\nAnswer: a - 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 46558\/101 or -5?\nAnswer: 46558\/101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821021483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - -37?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -19*o**3 + 510 with respect to o.\nAnswer: -57*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + sqrt(320)*3 + sqrt(20))\/(sqrt(10) - ((sqrt(10) - (sqrt(810)*-3 + sqrt(810) + sqrt(810) + sqrt(810))) + sqrt(10))).\nAnswer: -14*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, m: 5, l: 5}. What is prob of sequence mcl?\nAnswer: 25\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1838.8 * 6\nAnswer: -11032.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/11 (b) 0 (c) 2\/15 (d) -0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w + 0*w - 3*w)*(1 - 4 + 1)*((-1 + 0 - 1)*(4 + 1 - 3) + 7 + 5 - 4 - 2 + 3 + 0).\nAnswer: 30*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 16*g**2 + 32*g - 64. Let m be a(-18). Suppose 3*l - 1 = 4*l. Let v(x) = -4 + 3 + 2. Let q(h) = 2*h + 10. Give l*q(i) + m*v(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10368575 divided by 1\nAnswer: -10368575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t**3 - 11*t**2 + 7*t + 17. Let g be i(11). Let j = 267 + -6. Let k = j - g. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -4. Let d be -1 + l*(0 + -3). Is d - (-332 + (0 - 1)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 19 - 7 + (-2 + 0 + 0)*(-1 + 0 + 0))*(b - b + 6*b).\nAnswer: -126*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6337, 12670, 19003, 25336, 31669, 38002?\n\"Answer: 6333*z + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*a - 40*a = -6*h + 10*h, -5*a - h + 5*h = -9 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one quarters of a centimeter?\nAnswer: 52500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + 0. Let k = 0.4 - u. Let z = k - -0.3. Which is the closest to 0.3? (a) 2\/11 (b) z (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eddd when four letters picked without replacement from dded.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1871?\nAnswer: 1871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tetb when four letters picked without replacement from {l: 1, z: 1, t: 2, e: 1, x: 1, b: 2}?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in three fifths of a millisecond?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -7 + (5 - 0).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + 22. Suppose -5*j = 3*p + 7, p = -u*j - 0*p - 7. Which is smaller: j or -13\/4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1519 and 1461635?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -386*y**2\/11 - 1164*y\/11 - 18\/11 = 0.\nAnswer: -3, -3\/193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -6, -804, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**3 - 110*u + 312 - 95*u - 315.\nAnswer: 8*u**3 - 205*u - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 0.3 (b) 0 (c) 5 (d) 229 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g - 9. Let l(y) = -5*y - 14. Let w = -13 - -5. Determine w*h(z) + 5*l(z).\nAnswer: -z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9828 = 752*f - 748*f. Which is smaller: f or -2458?\nAnswer: -2458","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 11. Let h = 0.04 - -4.96. Let f = -1.7 + 2. What is the closest to q in 2\/5, f, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -23121*o + 23118*o + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/124425 and 161\/1080.\nAnswer: 2986200","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 7*w - 9. Let z be i(4). Suppose 107 = 2*j + 3*m, 139 = z*j + m - 39. Suppose 0 = -5*a - j + 266. What are the prime factors of a?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the second derivative of r**3\/3 + 25*r**2 + r - 5. Let l(y) = 3*y. Determine l(b(q)).\nAnswer: 6*q + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2196.506 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 23.95 and 5.891.\nAnswer: 141.08945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**2 + 2*m**2 + 15*m**2 - 19*m**2 + 4*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -45*j**2. Let n(k) = -128*k. Calculate n(t(i)).\nAnswer: 5760*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3960763, -7921460, -11882157, -15842854, -19803551, -23764248?\nAnswer: -27724945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(2*sqrt(288) + -3) - (sqrt(72)*2*-6 - (1 + sqrt(72) + 1)))*-2 + 0)**2.\nAnswer: -13920*sqrt(2) + 242608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2*z**2\/11 + 1848192*z\/11 - 55447560\/11 = 0.\nAnswer: -924126, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (((sqrt(40)\/sqrt(2))\/sqrt(10) + sqrt(2) + sqrt(200) + -3 + sqrt(200))*-6)**2.\nAnswer: -4752*sqrt(2) + 35169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19763 is divided by 6583?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25571 and 1512623?\nAnswer: 1967","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -11*r + 11. Let f = -17 + 32. Which is smaller: f or r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83228106722 - -0.4\nAnswer: -83228106721.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3587 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/((x*x**3)\/x*x))*x)\/x)\/x**(9\/4))\/(x\/(x*x**(-2)*x))**(-18\/5) assuming x is positive.\nAnswer: x**(107\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100000101001100 + -1000?\nAnswer: 10100000101000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t + 3. Let l be v(3). Suppose -f = -l*f. Let b(g) = f*g + 3*g + 0*g. Let m(s) = 2*s. What is b(m(o))?\nAnswer: 6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 9294, 237?\nAnswer: 237","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**6\/3 - 5*x**4\/12 + 11*x**3\/6 + 19*x**2\/2 + 5*x - 33. What is the second derivative of q(n) wrt n?\nAnswer: 120*n**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - (0 - 1) - -137. Suppose b + 81 = 4*l. What is the remainder when l is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14353 and 36301.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**2 + v**2 + 3*v**2)*(-2*v**3 + 2*v**2 + 2*v - 2*v + (-4*v**2 + 0*v**2 + v**2)*(-2 + 2 - v)).\nAnswer: 5*v**5 + 10*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 2 - 4)*(-11*m - 14*m - 10*m + 49*m) + (2 + 4*m - 2)*(4 - 2 - 1) as n + b*m and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -64639 divided by -11\nAnswer: 64639\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 5, 1, -33?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -67, -264, -601, -1084, -1719, -2512?\n\"Answer: -i**3 - 64*i**2 + 2*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 8b3?\nAnswer: -8b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -33*q**3 - 817488*q**2 + 520245*q + 297276 = 0. Calculate q.\nAnswer: -24773, -4\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 38*q - 82. What is r(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/11 + 1599\/1716. Factor 0 - w*d**2 + 0*d + 3\/4*d**5 - 9\/4*d**4 + 9\/4*d**3.\nAnswer: 3*d**2*(d - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11798900 to the nearest one million.\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -3 + 3*u - 2*u - 4*u + 5*u. Let m(y) = -y**2 - 3*y + 3. Let c(v) = 2*v**2 + 9*v + 6. Let j be c(-4). Give j*m(i) + 3*f(i).\nAnswer: -2*i**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.20949 + 8\nAnswer: 8.20949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wyp when three letters picked without replacement from {y: 3, p: 5, h: 4, o: 5, w: 2, s: 1}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 30 = 2*k, 3*k + 34 = 5*d - 17. What is the remainder when 178\/8 + 3\/(-12) is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n**3\/3 + 980*n**2 - 221693*n\/3 + 1185282 = 0. What is n?\nAnswer: 23, 54, 2863","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1007285, 2014577, 3021871, 4029167, 5036465, 6043765, 7051067?\nAnswer: 8058371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-9)\/6)\/(6\/(-68)). Let x = h - 15. Calculate the least common multiple of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**3 - 2*b**2 + 13*b - 103. Let p be l(6). What is the highest common factor of p and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.26 + -0.2598541. Round c to 4 dps.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58106061 and 124722?\nAnswer: 4797","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 12:48 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34\/5 of a century?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -87 + 94. Suppose -10 = -v + u. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 5*w - 5. Suppose 6*r = -11 - 103. Let z = -5 - r. Suppose 0*a = -z*a + 238. Let n(l) = 14*l - 14. Calculate a*t(c) - 6*n(c).\nAnswer: c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/72 and -155\/1512.\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 0.5 (b) -0.4 (c) 2\/27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 24 = -2*w + n, -3*w - 5*n - 2 = 0. Let h(y) = -y + 8. Let a be h(w). Let b = 13 - 13. Solve b = -a*o + j + 3, -o + j = -1 - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1220323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 - 99*j**2 + 2479*j - 3983. Calculate n(56).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2033 in -5.2, -6, 0.3, 1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1476, 0.12, -0.5?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q + 2*q + q)*(3 + 3 - 5)*((-3 + 3 + 1)*(-1 + 1 - 4) - 1 + 0 + 3).\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 5*b - 334 = -1034 + 338 + 337, c + b = 10 - 1 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -7*v**2. Let c(w) = 4105*w**2 - 4. What is c(i(h))?\nAnswer: 201145*h**4 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 11:06 PM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*h**2 - 15*h**2 - 119*h**3 + 17*h**3 + 97*h**3 + 18*h**3.\nAnswer: 13*h**3 - 25*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90 - -92. Solve -2*r - 10 = -2*s, 4*r - 10 = -u*s + r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**9\/18 + 8*z**5\/15 + 14*z**2 + 30*z. Let j(b) be the first derivative of k(b). Find the third derivative of j(n) wrt n.\nAnswer: 3360*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (155*-1)\/(37\/(-74)). Let u = i + 25. What are the prime factors of u?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 11:03 AM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32673 - -28137. Is c bigger than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24622 is divided by 60.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57685 is divided by 47?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111101 + 101?\nAnswer: 110000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 106234 + -38814. What is r rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2\/(-2) + (-248)\/16)*-2 is divided by 2\/(-4) - 50\/(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0241925056 to three dps.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16 + -16. Let l = 0.3 - 0.2. Suppose 8*g = 3*g - 15. Which is the third biggest value? (a) l (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 259458 divided by -86486\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40 + 121?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3424 * 33743.\nAnswer: 115536032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.503096 rounded to one decimal place?\nAnswer: -22.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8220 is divided by 8037?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 8. Let v be (-675)\/(-15) + q\/(-2). Suppose -h = -v + 9. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(272)*-4 - sqrt(272))*-1)**2.\nAnswer: 479808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -189865808 and 7892.6.\nAnswer: -189857915.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 5*w**2 - 4*w - 4. Suppose 30 = 5*a + 2*k, 0 = -3*a - 0*a - 5*k + 18. Let t be n(a). Solve t = 2*c + 2*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8ada9a4 - -25?\nAnswer: 8ada9c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2*g - 16, g = 4*x + 2*g - 47. Is (-6)\/(-33) + 0 + 28169\/x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 940 and 1264676?\nAnswer: 6323380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((sqrt(70) - sqrt(70)*-2)\/sqrt(10) + -1) + 1*(sqrt(252)*-2 + 3))**2.\nAnswer: -336*sqrt(7) + 4081","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (230\/(-460))\/((-2)\/(-20)*3\/(-15))\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes after 11:15 PM?\nAnswer: 1:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 5*l - 23 = -3*r, 5*r = 3*l + 13. Let x be 3\/2 + (-45)\/(-10). Solve x*j - r = j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/28)\/((4\/(-14))\/1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 5*c = -631, 2*p - 5*c - 54 + 347 = 0. Suppose 220 = -2*i - z, -5*i - 4*z + 2*z - 549 = 0. Let r = i - p. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -126 - -74. What is the tens digit of k\/6*(-33)\/22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/45 - 208\/210)*-21. Let s = 26 - w. Let m be 6\/(-4)*8\/(-12). Calculate the greatest common factor of s and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h**5 - 1197*h**4 - 8414*h**3 - 16848*h**2 - 9632*h = 0. Calculate h.\nAnswer: -4, -2, -1, 0, 1204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7028 and 113540.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.149 + 0.051. Which is the closest to -2\/5? (a) -6 (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 109\/5, 5, 0.5, 939, 4, 1, -3?\nAnswer: 109\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x**3 - 15*x**2 + x + 15. Let u(s) = -s**3 - 7*s**2 + s + 7. Let d(a) = 2*b(a) - 5*u(a). Does 16 divide d(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-9\/7)*f*f**(-3))**(-2\/145) assuming f is positive.\nAnswer: f**(46\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*k**5 + 34*k + 0*k**3 + 8*k**3 - 2*k**3 + 39*k + 8*k wrt k?\nAnswer: -140*k**3 + 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 43, 82, 121, 160, 199?\n\"Answer: 39*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((c*c*c**(1\/5))\/c*c)\/c)**(6\/13))**(-3))**(-18))**32 assuming c is positive.\nAnswer: c**(62208\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + (-1473)\/6*-6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/(-63))\/(24\/14). Is -1 at least as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**8\/1344 + u**7\/7 - 9*u**6 - u**4\/2 + 6*u + 27. Let q(c) be the third derivative of w(c). Factor q(g).\nAnswer: -5*g*(g - 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1534)\/(-236) + (-3 + (-20)\/(-8))\/(-12 + 11).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 a, and 1 r when three letters picked without replacement from {r: 2, l: 1, a: 1, c: 4, f: 3, e: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4 = 2. Suppose -j*w = w - 3. Calculate the highest common factor of w and 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/((u\/(u\/u**(1\/17)))\/u))*u)**(-9\/2)\/((u\/u**12)\/(u\/(u**(-7\/3)\/u)*u)) assuming u is positive.\nAnswer: u**(1639\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) + 735\/20 + -5. Calculate the highest common divisor of 80 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -5 + sqrt(304) + sqrt(304) + 5 - ((-6*(sqrt(931) + sqrt(931) + sqrt(931) + -1))**2 + (0 + sqrt(931))*2).\nAnswer: -301685 + 1506*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1867 + 24?\nAnswer: 1891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 206, 362, 492, 590, 650, 666?\n\"Answer: -z**3 - 7*z**2 + 184*z + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-55)\/(-5))\/(1*(-3)\/3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 24*h**2 - 4*h - 31. Let a(g) = -13*g**2 + 2*g + 16. What is 7*a(u) + 3*k(u)?\nAnswer: -19*u**2 + 2*u + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**2 + 146*b - 6413. Give f(42).\nAnswer: 1483","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -5*((sqrt(119) + (-3*2*sqrt(119) - sqrt(119)))\/(sqrt(7) - (sqrt(567) + sqrt(567)*2 + sqrt(567) + sqrt(567) + sqrt(567))))**2)*5.\nAnswer: 26835\/2809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 11. Let l = 126 - 129. What is the lowest common multiple of 2 - (-28)\/(-12) - 16\/l and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = 1140.057 - -1.943. Let v = b - 1207.36. What is v rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66114661?\nAnswer: 19, 31, 112249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -226442295548 + 1225\nAnswer: -226442294323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + -2. Let r(t) = -7*t**2 + 4*t + 5. Let b(k) = -8*k + 1. Let z be b(-1). Let i(n) = -15*n**2 + 9*n + 11. Let j(c) = z*r(c) - 4*i(c). Calculate j(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 4*k**2 + 14*k + 1. Let p(z) = 4*z**2 + 13*z. Let i(b) = 4*j(b) - 5*p(b). Let q(r) = -2*r**2 - 5*r + 2. Give -6*i(u) + 11*q(u).\nAnswer: 2*u**2 - u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -ed - bdd?\nAnswer: -cca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2624.2105 in 0.2, -0.5, 0.01?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2532 - -4778. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**4\/11 + 41340*c**3 - 34467472608*c**2\/11 + 871107826163456*c\/11 - 15668776061650944\/11.\nAnswer: -2*(c - 75784)**3*(c - 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 95 - 91. Suppose -3*i - 2694 = -5*y, -1466 = -4*y + m*i + 694. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 418946286 to the nearest 100000.\nAnswer: 418900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*4\/(-2)*-8*1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2 + 6*t - 2. Let y be (-2)\/((-36)\/63*1\/(-2)). What is the smallest common multiple of -2 + 2 - 2 - -9 and x(y)?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 46c951 (base 13) to base 9\nAnswer: 3146614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6200248819 plus -23.8?\nAnswer: -6200248842.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z + 8. Suppose -45 = -y - 4*y. Suppose 2*s - 1 + y = 0. What is the units digit of l(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ateeamatm. What is prob of sequence ttea?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 45200.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2019*s + 775 = -1994*s for s.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*l - l - 3*l)*(11*l + 46 - 46)*(3*l - l**3 + 1 - 3*l).\nAnswer: -22*l**5 + 22*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -187 + 390. List the prime factors of y.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 8:20 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**5\/10 + 3*h**4\/8 - 2*h**3\/3 - 1. Factor a(d).\nAnswer: d**2*(d - 1)*(d + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*f = -286, -5*f - 143 = 3*x - 4*x. Let l = 30 - 17. Let p be l - 0*3\/(-9). Calculate the highest common factor of x and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y + 2*y - y - 2*y - y. Let t(j) be the first derivative of -7*j**2\/2 + 1. Calculate b(t(l)).\nAnswer: 7*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 + 3212?\nAnswer: 3213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 12\/(-15)*(-10395)\/18. Suppose f = 11*h - 550. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 0.6, 5, -3, 7?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 12 + 6)*(-5 + 5 - 3*l**3) as a + u*l**2 + c*l**3 + y*l and give c.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9754920 by 216776.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -9*f + 2 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -z + 1163, 0 = 2*z + 4*w + w - 2326. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/9? (a) 1\/6 (b) -0.3 (c) 2\/13 (d) -3\/2 (e) 687\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*m**4 + m**2 + 6*m**4 - m**3 - 13*m**4 - m + 3*m to r*m + v + t*m**4 + s*m**3 + x*m**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 15) in base 5?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1672 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ctcctctctcutctttcut. Give prob of picking 1 u and 2 c.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 - -242?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 516 and 2148?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*a**2 + 23 - 23 - 36*a**2.\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -217*m + 669*m - 200*m - 192*m - 3. Let y(l) = 40*l - 2. Calculate 5*c(s) - 7*y(s).\nAnswer: 20*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 4*p**3 - 2*p**2 - p - 2. Suppose 0 = 3*x + z - 8, 6*x - z - 8 = x. What is the tens digit of u(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*y + 40, -94*d + 89*d = -3*y + 17. Solve -w + 3*u - y + 3 = 0, -4*w - 3*u + 21 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*v - 49*v + 1 - 2 - 44*v + 68*v to the form w*v + m and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(9\/(810\/(-20))).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 85 = 89. Is (9614\/1 + -1)*b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**1)**(-1\/34)*f**(-4)\/(f**5\/f) assuming f is positive.\nAnswer: f**(-273\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5693567 is divided by 844.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**10)**(-1\/16) assuming s is positive.\nAnswer: s**(-5\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 3, a: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 8:08 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 times 0.78?\nAnswer: 9.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l + 7. Let o(m) = 3*m - 15. Let q(g) = -5*b(g) - 2*o(g). Let z be q(6). Let p = z + 25. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 257\/2 + -128. Solve 1\/2*f**3 - f**4 + 0*f + 0 + 0*f**2 + r*f**5 = 0 for f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/764*(1 - 904\/(-152)). Let z = 1\/191 - t. Suppose 2*p + r = 7*p - 3, 3*p = 3*r - 3. Is z less than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 73860.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.06803ng to kilograms.\nAnswer: 0.00000000009706803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 178808 divided by -3193.\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2021516610 + 4?\nAnswer: 2021516614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3234 a factor of 448918008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o**2 + 3*o**4 + 3*o**4 - 4*o**4 + (2 - 2 + o)*(o**3 - 6*o**3 + 4*o**3).\nAnswer: o**4 + 6*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.004839 and 438?\nAnswer: 438.004839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11*i + 2. Let u(y) be the third derivative of 73*y**2 - 1\/24*y**4 - 1 + 0*y**3 + 0*y. Calculate 6*u(w) + x(w).\nAnswer: 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 630 by 6.\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -41079.59638 - -41079. Round x to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14988 + -5?\nAnswer: -5.14988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, -13, 0.2, 5, 4, 2\/5, 6215?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -131?\nAnswer: 65.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 6*k - 5. Let x be z(-7). Suppose -x*v = 6 - 16. Suppose 2*a + 2*a = -p + v, 3*a - 4*p - 18 = 0. Solve c - 3 = -0, a = -n - c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f*f\/(f*f*(f**5\/f)\/f*f))\/f)\/f)\/f**(-2)*(f\/(f**(-2)*f))\/f**(-4))\/(f\/f**(2\/11)*f\/(f**(2\/9)\/f)*f)**(4\/17) assuming f is positive.\nAnswer: f**(3625\/1683)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -41*h + 46*h. Let z be (114\/(-2))\/(-3) + (1 - h). Solve 4*j + z = 4*m - 19, 3*m = -j + 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -5, 5, 30?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(468)*-2)\/(sqrt(324)*1*-3 + sqrt(324) + -4*2*sqrt(324)).\nAnswer: -sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*r = -3, 0 = -0*j - j + r - 2. Let w be (j + 0)*36\/(-243). Is 1 at least w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 5*w - 2. Let i be ((-18)\/(-3))\/3 - w. Let u = i - -1. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8648 and 2379212?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (11 + -10 + 19).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -476, -946, -1412, -1874, -2332?\nAnswer: -2786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = y + 235. Suppose -y - 27 = -5*n - 4*m, -n + 5*m = -9. Let o = 23 - n. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mtaa when four letters picked without replacement from thdaahzm?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 53621, 5, 8.\nAnswer: 0, 5, 8, 53621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(3\/11)*n)\/(n*n\/n**(2\/3)))\/(n\/n**(-3)*n\/(n\/(n**(2\/9)\/n*n)*n)) assuming n is positive.\nAnswer: n**(-325\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 447 is divided by 290?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -171*y**4 - 220*y**4 + 577*y**3 + 392*y**4 - y**2 as i*y**2 + j*y**3 + f*y**4 + s*y + x and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18412 - -18389. Let t(p) = -p**3 - 24*p**2 - 25*p - 46. Determine t(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 39 = 5*y, 4*y - 24 = -y + 2*h. Suppose -2*m + y = m. Solve b = -2*w + 3 + 2, b - m*w - 1 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 142, 290, 438?\nAnswer: 586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14.0513 + -18559.3513. Round q to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -148 (base 12) to base 5\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**4\/4 - 5*v**3\/3 - 7*v**2\/2 - 3*v + 34. Calculate u(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 2 i, and 1 a when four letters picked without replacement from ivrzyia.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**(-2\/7)\/i)\/i*i*i**(3\/2))**27*i**(-4)*i**2*(i*i**0\/i)**1 assuming i is positive.\nAnswer: i**(431\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 522425052 divided by 3224846?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + -3*sqrt(405))**2 - ((3*sqrt(180))**2 - sqrt(25)\/sqrt(5)*-2).\nAnswer: -56*sqrt(5) + 2026","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4699 - 5705 = 9*w. Let o = 1794 + w. Calculate the remainder when o is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 96\/(-21) - 16\/(-28). Let v(r) = 7*r**2 + 5*r. Let b(q) = 4*q**2 - 5*q**2 + 307*q - 150*q + 8*q**2 - 153*q. Determine m*v(u) + 5*b(u).\nAnswer: 7*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 7290 = 2*h + 4*x, x = 8. Does 19 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -3*b**2 + 72*b + 1497. Calculate y(-14).\nAnswer: -99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 52890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2862837673.\nAnswer: 19, 821, 183527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*d + 46*d = 127*d - 11430 for d.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -80*l. Let k(y) = -y**2 + y. Let w(i) = 2*i**2 - 3*i. Suppose 2*t - 4*a - 18 = 0, 5*t - a = 2*t + 7. Let x(q) = t*w(q) + 3*k(q). Determine s(x(p)).\nAnswer: 80*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 447502 and 352.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m - 2. Let c be i(7). Find the third derivative of -p**2 + 0*p**c - 3*p**2 + p**5 + 2*p**2 wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5334000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2363 + -5.\nAnswer: -2368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 570 and 570?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 937967\/36 - 26052. Find the common denominator of t and 133\/48.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 2 (c) 0.16 (d) 5 (e) -1\/9 (f) 1.05\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*w = -w + 8, r + 3*w = 8. Suppose 6*d - 5128 = -r*d. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3719180705 to the nearest one hundred thousand.\nAnswer: -3719200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -352 at most as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Suppose h = p - t, -5*p - 5*t = -4*t. Solve 10 = -5*w - 4*f - f, -3*w - f - 8 = p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 + 4*k**2 + 3*k - 3. Suppose -3*n - 135 + 141 = 0, 0 = 4*q + 4*n + 4. Let l(h) = h**3 + h - 1. What is q*l(x) + r(x)?\nAnswer: -x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 6:07 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from {f: 7, o: 3, s: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2636, -10557, -23762, -42251?\n\"Answer: -2642*p**2 + 5*p + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 130203925 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, b: 6}. Give prob of picking 4 z.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -259 (base 12) to base 3.\nAnswer: -111020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -324502, -2, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (0 - 4 - -3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -253*b**2 - 39*b - 2. Let n be m(-4). Is -3893 not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 152\/32 - 45\/60. Solve -l*t = 4*y - 3*y - 17, 0 = 2*t - y - 13 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -192140 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -5*v - 3*r - 55, 3*v - 2*r = -7. Let z(s) = -5*s**2 - 3*s + 5. Let k(d) = -d**2 - d - 1. Determine v*k(n) + z(n).\nAnswer: -2*n**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 5*m - 668384 = -668434, -3*m = -2*l - 5 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yrrbrbbrbr. Give prob of sequence yr.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dudduduuuuuudsuuu. Give prob of picking 3 u.\nAnswer: 33\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/10 + 155805\/116025)*168\/(0 + -3).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*p = 16*p + 8. Is p even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 75*g**3 - 7763*g**2 - 1671426.\nAnswer: 225*g**2 - 15526*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 + 4. Suppose -2*k - 15 = -5*x, 3*x + k + 3*k = 9. Let p = 30 + -25. Solve -2*j + 8 = p*i, -4*i + u = i + x*j for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from nvnvv?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.44 in -2\/5, -1, 4, 11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - c + 18, -5*n - 3*c + 14 = -4*n. Let z(s) = 4*s - 3. Let o be z(2). Suppose 0*i = o*i - n. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3\/5 - -7\/20. What is the biggest value in c, 2\/5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.3 - 0.5. Let k be (110\/(-20))\/11*(-2)\/(-4). Is k > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 61*g + 2 + g**4 + 3*g**2 + 5 - 71*g - 1 in the form x*g**2 + h*g**4 + t + m*g + z*g**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7 - 30\/(-840)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/((77 - 70) + 298\/(-44)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*f)*(32 + 9 - 11)*(4 - 5 + 3)*(f**2 - 12*f**2 + 2*f**2).\nAnswer: 1080*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*n + 6, 4*s + 11 = -13*n + 8*n. Solve 0 = b - 4*m + s, 5*m + 2 - 7 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -73 or -77?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4106*l**2 - 13*l - 4. Let d(v) = 2052*v**2 + 6*v + 2. Calculate -13*d(m) - 6*f(m).\nAnswer: -2040*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/7 and 0.99 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = 4*v + 4*w, 674*v - w + 30 = 671*v for v.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and 0.1649.\nAnswer: -0.03298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -515, -1176, -1987, -2948, -4059, -5320?\nAnswer: -6731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 1)*5)**2 - (sqrt(180)*-1)**2*-3 - ((sqrt(180) + 0)*4 + sqrt(180) - (sqrt(180) + 2*sqrt(180) + -4 - sqrt(180)))**2.\nAnswer: 156*sqrt(5) + 3429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 268 and 68?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 9:07 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41869 + -1246. Is 76 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2028 a factor of 237140124?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 28452 divided by -6?\nAnswer: -4742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -4*q + 9 + 22, 5*w + 2*q - 23 = 0. Solve 26 = -4*d + w*s, 2*d + s = -8 - 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t - 8*t + 3*t)*(122 + 58 - 30)*(-2 + 0 + 0 + (0 + 1 - 2)*(4 - 4 - 1) - 4 - 2 + 4).\nAnswer: 2700*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -4*t + f, 4*f + 6 = -2*t + 2*f. Let c = t + 56. Calculate the highest common factor of 224 and c.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2572 + 4948. Does 18 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 51*r**3 - 1\/2*r**4 + 105\/2*r**2 - 103*r.\nAnswer: -r*(r - 103)*(r - 1)*(r + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2212100 (base 3) to base 11\nAnswer: -1629","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 e when four letters picked without replacement from {w: 3, e: 9}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 8*k**2 - 11*k - 2. Suppose -5*o = -133 - 67. Suppose 0 = v - 6*v - o. What are the prime factors of z(v)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -13. Suppose -l*c - 2 = -8. Solve -a - c = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-6*sqrt(425)*-1*4 + -4 + -5 + sqrt(425) + 1 + -1))**2.\nAnswer: -81000*sqrt(17) + 9565416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 PM and 1:39 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (452\/(-113))\/(114\/5) and -13\/18.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 6519?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10592 and 30327544?\nAnswer: 2648","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 106, -18, 0, -73, -3 in increasing order.\nAnswer: -73, -18, -3, 0, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -394 - -406. Calculate the lowest common multiple of x and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7038 + 7318. Calculate the greatest common factor of 1624 and l.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - a - 3*a**2 - 648*a**3 - 332*a**3 - 132*a**3.\nAnswer: -1112*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*k - 319*k - 1026 = 0 for k.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 + 3*f + 5 - 12 - 29 - 2*f + 1.\nAnswer: f - 127","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(65)*1*-6)\/(sqrt(5) - ((sqrt(5)*2 + sqrt(5))*-2 - sqrt(5)) - sqrt(5) - sqrt(5)))**2 + -3.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - 48*a**2 - 5*a - 7. Let g(q) = q**3 - 24*q**2 - 3*q - 4. Determine 5*g(w) - 3*m(w).\nAnswer: -w**3 + 24*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1039831 + 0?\nAnswer: -1039831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7*u*u**(2\/9))**(-32)*(((u*u*u**0*u*u)\/u)**(-2\/77))**42 assuming u is positive.\nAnswer: u**(-26372\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 523119607?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-36)\/20 - (0 - 1). Suppose 75 - 147 = j + 7*w, 42 = -j - 4*w. Which is the nearest to 0? (a) q (b) j (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 6636?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 6*p**2 + 22*p + 14. Let t be b(3). Let o(u) be the first derivative of 5*u**4\/4 + u**3\/3 + u**2 + u + 4. Determine o(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(2\/9)*b\/b**(1\/19))**(2\/155) assuming b is positive.\nAnswer: b**(80\/5301)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 - 3*h - 8. Let b be v(4). Let c be (0 + 0)\/(b - 0). Suppose c = -4*l - 1458 + 15058. Round l to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**4\/12 + 5*d**3\/2 + d**2\/2 + 3*d. Suppose -7*l + 38 = -67. Let h be a(l). Which is greater: h or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 2. Suppose 4*s + 8 + 7 = y*v, -3*s - 2*v = -10. Solve p + 4 + s = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange t**4 + 2*t + 0*t**4 + t**4 + 46*t**3 - 46*t**3 + 21*t**4 + (-t**3 - t**3 + 4*t**3)*(5 - 3*t - 5) to g + j*t**2 + b*t**3 + k*t + u*t**4 and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*q + 2*q**2 + 4*q)*(52 - 52 - 96*q).\nAnswer: -192*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y**2. Let a(m) = 471*m. What is t(a(g))?\nAnswer: 1331046*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 42, 317, 776, 1419, 2246, 3257?\n\"Answer: 92*r**2 - r - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1368 = 480*o - 552. Determine y so that 8\/23*y**o - 10\/23*y**3 + 2\/23*y**2 + 0*y + 0 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -851, -1693, -2527, -3347, -4147, -4921?\n\"Answer: q**3 - 2*q**2 - 843*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-12))\/3*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245, 240, 221, 182, 117, 20?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 - 68761\/665 - (-591)\/15?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 4*k - 2. Let f be t(6). Let h = -1 - -11. What is the highest common factor of h and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617664302 divided by -4145398?\nAnswer: -149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/5 + 64\/(-10). Let o be 10\/(l\/4 + 2). Suppose -62*y + 2307 = -4089 + 1436. What is the greatest common divisor of o and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 7:29 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32 + 30?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 4479874 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2904, 5809, 8714, 11619, 14524?\nAnswer: 17429","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20459543 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4 + -4 + ((sqrt(704) + -1)**2 - sqrt(704)) + 2 + -4*1*(sqrt(704)*2 - sqrt(704) - sqrt(704))**2 + -1).\nAnswer: -2824 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -58 - -24 - -29 - (1 + -8)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**3 - 885*w**2 - 38247*w + 204. Determine g(-75).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as -20\/57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 7 (b) -0.5 (c) -0.033 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 289 - 292. What are the prime factors of -83*(144\/(-27))\/((-2)\/s)?\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**6\/40 + r**5\/6 - r**4\/8 + 7*r**3\/6 + 24*r**2. What is the second derivative of x(n) wrt n?\nAnswer: -18*n + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 4*f + 784 = 0, -4*f + 5 - 1 = 0. Let p = 710 + s. List the prime factors of p.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-3) + 1 + -4 + 4. Solve -4*k + 7 = -p for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xiif when four letters picked without replacement from ixxiifiiixffxi?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8199*k**2 - 20*k**3 - 41*k + 4103*k**2 + 21*k**3 + 4096*k**2.\nAnswer: k**3 - 41*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 7*k - 2. Let a be (6\/(-18))\/((-2)\/18). Let q be (a - -1) + -2 + -7. Give n(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -949, -3574, -7951, -14080?\n\"Answer: -876*w**2 + 3*w - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2452 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1195555 and 33755?\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -230833, -230828, -230821, -230812, -230801, -230788?\n\"Answer: i**2 + 2*i - 230836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 31*z**2 - 205*z + 21. What is the remainder when 341 is divided by h(-22)?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -353*q + 1051*q - 394*q**2 - 343*q - 352*q + 2 as a + r*q**2 + x*q and give r.\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17892 - -18076. What is the greatest common factor of 759 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 259897537 to the nearest integer?\nAnswer: 638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1, -5, 1\/5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*m + 57 = 4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*t - 25 = -6*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*x - 2 = 0. Let f(s) = 2 - 1 + 2 - s. What is the units digit of f(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.231 (b) 1\/6 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -173\/616518 and 125\/4704.\nAnswer: 9864288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*((v**(-3\/16)\/v)\/v)\/v*v*v)**(5\/2) assuming v is positive.\nAnswer: v**(-15\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/23016469 and -9\/28.\nAnswer: 92065876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, f: 7, j: 3}. Give prob of picking 1 f and 3 j.\nAnswer: 7\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in twenty-five quarters of a millisecond?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 193615367 to the power of 1\/4, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 12, p: 6}. What is prob of picking 4 p?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -46 smaller than -10488?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a centimeter in micrometers?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -527*p**5 + 760*p + 1 wrt p.\nAnswer: -10540*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12 + -7. Suppose w*b - 14 = -4. Suppose -b*d = -d - 20. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c9b95 (base 13) in base 16?\nAnswer: -58fc6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of -p**4\/4 + 5*p**3\/6 + 27*p + 112. Let c(o) = 18*o**2. What is y(c(d))?\nAnswer: -972*d**4 + 90*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1150 + -132248\/115. Which is the second smallest value? (a) x (b) 2\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2116 (base 16) to base 6\nAnswer: 103114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 151*q - 153*q - 6 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*i + 27, 3*n - 8*n - 3*i + 117 = 0. Suppose -31*a = -35*a + n. Calculate the greatest common divisor of a and 366.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*q + 20 = 2*q, 0 = 4*b + 2*q - 10. Suppose -b*z + 5*i + 90 = 0, 0*z - 4*z = i - 52. What is the smallest common multiple of z and 32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*m, m - 4*m = 5*t. Suppose 5*u - 14 - 16 = 0. Let p = u - 1. Put m, 1, p in decreasing order.\nAnswer: p, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -2, 23, 84, 193?\nAnswer: 362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -229, -188, -117, -16, 115, 276?\n\"Answer: 15*a**2 - 4*a - 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**3 - 512*h**2 + 206948*h = 0. Calculate h.\nAnswer: -778, 0, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78307, 78256, 78201, 78142, 78079, 78012, 77941?\nAnswer: 77866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -291aa57 (base 11) to base 5.\nAnswer: -2241144204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.06 - 2.94. Let h = 60.3 + -60. Let s be (2 - 1) + 44\/(-36). Which is the closest to u? (a) s (b) -1\/7 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 1:01 AM?\nAnswer: 8:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123473*s + 123473*s + 4285*s**2.\nAnswer: 4285*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 2?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/95 and -37\/140?\nAnswer: 2660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2. Let z(x) be the first derivative of 2*x - 1\/3*x**3 + 0*x**2 - 1. Let q(f) be the first derivative of z(f). Calculate j(q(u)).\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20100 is divided by 4959.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 96039 or 96036?\nAnswer: 96036","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**2 - 13*r + 3. Give u(-9).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*x = -216*l - 212*x - 252, 33 = 3*l - 4*x + 5*x for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1264625 (base 7) in base 8?\nAnswer: 506672","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 + 13*d**2 + 11*d - 6. Give z(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -987, 45\/2 in ascending order.\nAnswer: -987, -4, 45\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15334621 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 + 2*p + 2. Determine r(4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:04 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.495 and -134?\nAnswer: 134.495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.5 - 6. What is the fourth smallest value in b, -3\/4, 1, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 2*q**3 - q**2 - 3*q + 5. Let r be l(2). Let i(k) = -r - 2*k + 4*k - 6*k + 10. What is i(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -5\/6 (c) 200 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00641 to four dps.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*z - 6*z. Suppose -2*x = -5*n + 14, 0 = -0*x + x + z. Suppose k + 1 = -l, n*l + 3 = -3*k + 4. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3 + 0)*(2 - 14*m - 2) + 3*m + 2*m - 7*m + m in the form r*m + y and give r.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14837 = 135*b - 16322 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3772 * -200476.\nAnswer: -75619.5472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*l + 97*l + 194*l - 145*l.\nAnswer: -10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 5*j + 9. Let t(v) = -1. Let d(f) = p(f) + 5*t(f). Suppose 14 = -3*w - 5*g - 21, 2*g = -8. Is 4 a factor of d(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 397976902*b*m**2 - 610713971*b - 3*m**2 wrt m.\nAnswer: 795953804*b*m - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a - 2. Let p(d) = -2*d - 2. Let u(h) = 2*p(h) - 3*x(h). Calculate u(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 + -8007a?\nAnswer: -800a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 21 = k, -p - k + 11 = 2*p. Suppose 6*w + p = 3*w - 5*n, 1 = -4*w - n. Suppose w = g - 6 - 1. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 280*k**6 - 4*k - 6*k**2 + k**2 + 96*k**2 - 3*k**2 + 193*k**6 wrt k?\nAnswer: 56760*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1968, -1952, -1930, -1902, -1868, -1828?\n\"Answer: 3*y**2 + 7*y - 1978","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -271, -427, -583, -739, -895?\n\"Answer: -156*o - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 435 + -427. Suppose 9*h - 994 = t*h. What is the hundreds digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011401 rounded to five decimal places?\nAnswer: -0.00114","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-48)\/(-8))\/(2\/(-2)). Is x at most as big as -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 316995599.\nAnswer: 316995599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 6*z**2 - 5*z - 9. Let i be j(7). Suppose i*m = m + 80. Let u = m - 18. Solve 3*a - u = a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-24))\/((-68520)\/(-1260) + -55).\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1725469741 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1131 - 1087. Calculate the greatest common factor of o and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14950 by 23.\nAnswer: 650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.4 + -1.29. Let i = 3.89 + p. Sort -0.4, -6\/11, i in ascending order.\nAnswer: -6\/11, -0.4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/9 - 13292*q\/9 + 4430\/3.\nAnswer: 2*(q - 6645)*(q - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.328166781 rounded to four decimal places?\nAnswer: 0.3282","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 461121 + 1?\nAnswer: 461122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b**2 - b**2 + 6*b**2 - 3*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29041 and 35466?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3235 + 3*w + 3225 - 6480 + (-2 - 2*w + 2)*(3 - 3 - 1)*(-6 + 5 + 5) to the form m*w + p and give m.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 4 = -13 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-12)\/18)\/((-4)\/942) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 37\/6*t**3 - 2*t + 0 + 1\/2*t**2. List the prime factors of m(2).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10108+-276.735\nAnswer: -10384.735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-3) - 3\/(-9). Let i be 9\/(-6) + 34\/n. Let p(h) = i*h - 3*h - 3*h. Let k(y) = -2*y**2. Determine k(p(x)).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -29*(-4 - -2 - 0).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -2. Is 24 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -548\/3 + 182. Suppose 4*t - 3*i = -15, t + 4*i = 9*i - 25. What is the nearest to h in -3, 2\/11, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/18)\/((-1)\/(-3)). Let o be (4 + d)\/((-1)\/(-4)). Let c be (0 + (-2)\/o)*-4. Solve 0 = 4*t + 9 - c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/5? (a) 4\/5 (b) -1\/2 (c) -6 (d) 0.115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -2. Suppose -4*z + 20 - 4 = 0. Suppose -3*j + 2*u - 14 = 0, z*j + 3*u + 6 = -7. What is the closest to k in 0.4, j, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 41017*h**2 + 24*h + 32. Let a be x(-16). Round a to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 2*u - 8. Let o be g(6). Suppose -o*k = -k - 24. Is (-2)\/k + 1043\/28 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 less than 5894488280081?\nAnswer: 5894488280080.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d - d + 1 + 2*d - 3*d - 6*d**3. Let y be j(-1). Suppose -21 = -2*z + y. List the prime factors of z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*t - 17*t - 701 = 1075 for t.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 13)\/(1\/21*1). Let a(p) = 23*p**2 - 2*p + 1. Let b be a(1). Let k = 43 - b. What is the highest common divisor of k and q?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4 + 2)*(3 - 3 - 2*t)*(-4 + 4 - 9*t) + t**2 + 3 - 3.\nAnswer: -53*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1377) - (sqrt(1377) + 2*(sqrt(1377) + -1)))*4*-4.\nAnswer: -32 + 288*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 8:32 AM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 733 - -89. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-318)\/2226*(1 + -2)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1369375 + -610045. Let v = n + -759527.0221. Let h = 197 + v. Round h to three dps.\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 3*g**3 + 4*g**2 + 9*g + 5. What is d(-3)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3683 - -3708. Solve t*n + 13*n = -76 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g\/g**3)\/g**(-1\/9))\/(g\/(g\/(g\/g**(1\/3)*g)*g*g))**(3\/20) assuming g is positive.\nAnswer: g**(-151\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 9 = 87. Suppose -q*t + 2 = -23*t. What is the third derivative of 34*v**2 - 13*v**t - v**6 - 14*v**2 wrt v?\nAnswer: -120*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84785 is divided by 41485.\nAnswer: 1815","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 1:51 PM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 15 - 17 = -4*d, 0 = 5*q - 5*d - 95. Suppose 3*h - q = -h + 2*v, -1 = 2*h + v. Suppose -123 - 95 = -h*c. What are the prime factors of c?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 40370 by -10.\nAnswer: -4037","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3290)\/135 + 2 - (-440)\/(-400)*-20.\nAnswer: -10\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22166983 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(48)\/sqrt(3))\/sqrt(8)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 756 = 173*p - 110*p for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**3\/4 + 202258*o**2 - 6472448*o + 51780096.\nAnswer: (o - 16)**2*(o + 809064)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-7 - -10)*16\/12. Solve 10 = -2*k, 12 = 2*b - s*k - 16 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2295 + 0.2295. What is the fifth smallest value in -0.5, 1\/2, 160, 2, w?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -42947501.\nAnswer: 3\/42947501","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 5*y - 7 = 0, y = 2*f + 2*y - 7 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 11300 (base 6) to base 16\nAnswer: 654","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -31, -98, -209, -364, -563, -806, -1093?\n\"Answer: -22*n**2 - n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -5, 40 in ascending order.\nAnswer: -5, 19, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*f**2 - 172*f**2 + 334*f**2 + 23*f**2.\nAnswer: 17*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 906*n - 906*n + 6*n**3.\nAnswer: 6*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-210)\/63)\/((-4)\/(-6)). What is the nearest to 2 in 0.5, d, 83?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 = -6*u + 134. Suppose -2*t + y = -32, -5*t = -y - 34 - u. Solve -2*l = -2, -l - l = 3*j - t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 3, a: 2, m: 3, v: 1, y: 1, k: 3}. What is prob of picking 1 a and 2 m?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1548 (base 10) to base 4\nAnswer: -120030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 64\/561 and 7 - 6 - (-76)\/171.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 66. Calculate the highest common divisor of g and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(2*sqrt(1900)*6)**2 + 3 + -4.\nAnswer: 547199","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 3*b - 19 + 7, -32 = -4*x + 4*b. Suppose y - x - 54 = 5*u, 4*u + 20 = 0. Calculate the greatest common factor of y and 352.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1085738 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -4*(sqrt(450) - sqrt(450)*2*2)\/sqrt(9))**2.\nAnswer: 600*sqrt(2) + 7225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a*k + 20303560*a - 510069*k wrt k.\nAnswer: -3*a - 510069","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 13822?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 PM and 8:43 PM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7.5 and -79.6?\nAnswer: 87.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 4*f + 1 - 19 = 0, -5*d - f = -5. Suppose -d + 0 = -l. Let q = 0 + l. Let t(y) = -y**2 + 4*y. Give t(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11095348 divided by 11095348\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -13853 (b) 3 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 414390\/17 and 24375 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 398171381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1029226 hours in seconds?\nAnswer: 370.52136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1357837 + 746012. Let p = -857825 - u. What is p rounded to the nearest ten thousand?\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 2749146 and 34.\nAnswer: 2749180","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 11) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1081\/(-115)*(-10)\/22*506\/23\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -8 - c**3 - 1 + 2 + 9*c**2 + c. Give s(9).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (17 - 0 - (-21 + -15 + 34 + 17)) + 105\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 221*k**2 + 599*k**2 + 350*k**2.\nAnswer: 1170*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 150 = 5*c, 4*c + 2*n + 158 = 32. Let d = -7974 - -47983\/6. Calculate the common denominator of d and (-6)\/21 + c\/14.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -c831 (base 14) to base 8\nAnswer: -103353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 4. Suppose 4*l + o - 11 = 0, 2*l - t = 4*o - 3*o. Find the third derivative of -5*a**4 + l*a**4 + a**2 - 5*a**2 wrt a.\nAnswer: -72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 1 + 1.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 9. Does 12 divide f(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-2))\/((-126)\/(-28))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oikdeoeoooeoedk. Give prob of picking 1 k, 1 d, and 1 i.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + 2*w**2 - 8*w - 4. Suppose k - 4*c = 4*k - 4, 0 = -5*k + c + 22. Calculate the least common multiple of a(k) and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n. Let u be 4 + 0*(-3)\/(-12). Let q(o) = -o + 3 + 1 - u. Determine q(h(f)).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1825.\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573 + 441 = 39*t. Sort t, 1, 11, -3.\nAnswer: -3, 1, 11, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 70*m**3 - 146*m**3 + 72*m**3 + (-m - 2*m**2 - m + 3*m**2)*(-2*m + 3*m + 0*m).\nAnswer: -3*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35.83562 millennia to months.\nAnswer: 430027.44","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/4)\/((-1)\/2). Let b(a) = 23*a + 5. Let j(y) = 12*y + 3. Let r(c) = 3*b(c) - 5*j(c). Does 3 divide r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4\/11, -0.4, 0.4, -3\/8, 2\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 269 = -4*m - a, -2*a = -4*m - a - 267. Is 17 a factor of 3\/(-9)*(1 + -4) - m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 5*s + 12 = 0, 15*a + s = 16*a - 2. Let m(t) = -3*t + 1. Let x be m(1). Put x, 6, a in increasing order.\nAnswer: x, a, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01336922137 to 3 dps.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3*(4\/(-186))\/1. Let d = 247.91 + -238.91. Which is bigger: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**1\/u)*u)**(2\/9)*(u*u*u\/(u\/u**(1\/3))*u)\/(u*u**(-1\/6)))**(-3\/2) assuming u is positive.\nAnswer: u**(-53\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -189 in 1\/4, 2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 5*o = -93, 0*v = 2*v - 3*o + 63. Let l = v - -23. What is the common denominator of (-1)\/7*(-206)\/l and -19\/30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48) + (sqrt(96)\/sqrt(98) - sqrt(48)))\/sqrt(2))\/(-2*5*sqrt(72)).\nAnswer: -sqrt(3)\/210","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15936687647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - s + 5, 9*s - 4*s = 3*z + 25. Let v = 79 + -76. Let x be -5 + 4 + 9\/v - 1. Solve -p + z = -x for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*g = -76 - 59 - 53 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142625897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, -4, 12, -9.\nAnswer: -9, -4, 4, 9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*(r**(-1\/4)\/r)\/r*r)\/r)\/(((r\/r**(1\/2))\/r)\/r*r))\/((r\/(r*r**2*r))\/(r*r**(3\/8)))*(r**(1\/8)\/r**(-3))\/((r\/(r**(-1)\/r))\/r)**(-19) assuming r is positive.\nAnswer: r**(179\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6511*w + 1638*w + 1493*w + 1463*w + 1553*w.\nAnswer: -364*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30091?\nAnswer: 30091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 - 5. Let d(r) = r - 4 - 8 + 3 - 4 + 2. Let o be d(f). Solve -o*a + 8 = a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 3*j + 5 + j**3 - 5\/2*j**2 + 7\/2*j**4. What is the units digit of m(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3\/8 (b) -0.3 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -3*t - 3*w, -3*w - 6 = 4*t - 2*w for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*a = -51*a + 182. Suppose -z - 2*c - a = 0, 0*z - c = -4*z - 65. Is -11 bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/266 and -73\/874.\nAnswer: 6118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*b - 237 - 94 = 47. Solve 5*q = 47*t - 44*t + 15, -b*t = -2*q + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -3*c**2 - 2. Let k(v) = 3*v**2. Determine k(b(j)).\nAnswer: 27*j**4 + 36*j**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7583 - 7584. Let h(p) = 102*p**3 + 1. Calculate h(q).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -0*d + 4. Let x be d\/(-6)*6\/(-4). Let s(y) = y - 6. Let i(n) = 1. Give x*s(b) - 5*i(b).\nAnswer: -b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35301523919\/1889980 - -4947702\/265. Let n = 2812806613\/920028 - k. Let t = -3065 + n. Which is bigger: 0 or t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64\/36 - 8\/(-36))*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 d when three letters picked without replacement from {b: 3, x: 3, d: 2, m: 6, c: 3}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1064.95 + -1065. Is 12 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380187624.\nAnswer: 2, 3, 61, 259691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2 - 9 + i + 9 wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 689868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -8 (b) -1 (c) 2 (d) -7558\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 741180 to the power of 1\/2, to the nearest integer?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j\/(j**(-4)\/j)*j**1)\/((j\/j**(2\/5)*j)\/j**2) assuming j is positive.\nAnswer: j**(42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 125135, 500709, 1126673, 2003027, 3129771?\nAnswer: 4506905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by -11\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 94983\/76 + -1249. Calculate the common denominator of w and 121\/48.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k**2. Let d(h) be the second derivative of h**4\/3 + 26*h**3\/3 + 118*h. What is b(d(x))?\nAnswer: 32*x**4 + 832*x**3 + 5408*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -15890 to the nearest 1000.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*d = -6*d + 12, d - 1 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17)\/((-18564)\/(-96))*(-7)\/(-2).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 176*x - 13301. Give t(-57).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from myygyvgymyvvvgy. What is prob of picking 1 m and 1 y?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggk when three letters picked without replacement from {g: 3, k: 4, w: 1, y: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 8*z**5\/5 - 66*z**4\/5 + 104*z**3\/5 + 42*z**2\/5 - 112*z\/5 + 24\/5 = 0. Calculate z.\nAnswer: -1, 1\/4, 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 144\/5 + 54\/5*y + 2\/5*y**2 = 0. What is y?\nAnswer: -24, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**(-3\/10)))**(-2\/73)\/(a**(-9)\/a**(-5\/9)) assuming a is positive.\nAnswer: a**(27767\/3285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -45649819661 + 0.1\nAnswer: -45649819660.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 1 + 1)*(w**3 + 3*w**3 + w**3) - w**4 - w**3 + w**3 + (23*w**2 + 31*w**2 - 50*w**2)*(w + 2*w**2 - w).\nAnswer: -3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1434617 is divided by 6703.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*b - b**2 - 19*b.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 47 - 9. Let l = d - 38. What is the second biggest value in 0.3, -5, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3998 - -1801. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -2*d**2. Let q(s) = -19*s + 47*s - 13*s. Calculate q(x(r)).\nAnswer: -30*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + -3 + 12 + -3. What are the prime factors of -30*(-4 + 28\/r)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/6 + 51\/9. Suppose d*t + 1 = 6. Suppose t = v - 8. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.5 (c) 1\/2 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 11*a - 8*a + 7 = 0, -3*i + 2*a + 4 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*n**5 - n**5 - 10*n**5 + (2*n**3 + 30*n - 30*n)*(-3*n + 4 - 4)*(3*n + 2 - 3*n + n).\nAnswer: -22*n**5 - 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 61292 - 41135. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175 - -179. Solve -21 = -k*p - 13 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.4, 3, -1\/2, -1.9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486*w - 1899*w - 2 + 472*w + 482*w + 474*w.\nAnswer: 15*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 209227 and -1.\nAnswer: -209227","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -36, 29, -638 in decreasing order.\nAnswer: 29, -3, -36, -638","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3458)\/(-152))\/((-12)\/(-32)*28).\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -124, -211, -346, -529?\nAnswer: -760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*((p\/((p**(-7)*p)\/p))\/p)\/p*p**(5\/2)*p*p*(p**(-1\/4)\/p*p)**(-1\/32) assuming p is positive.\nAnswer: p**(1473\/128)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w - 4. Let p be s(-4). Solve -x + p = 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1060)\/(-24) + (-2)\/12 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70\/4060*76\/57.\nAnswer: 2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d**2*d))**(-47))**(-6\/5)*(d**(1\/14)\/(d\/(d\/(d\/(d**(5\/2)\/d)))))**46 assuming d is positive.\nAnswer: d**(-5002\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 34 + -162?\nAnswer: -12b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -53*t**3\/6 - 11*t**2\/2 + 5*t. Let l be 8\/(-12) - 4\/3. What is the units digit of m(l)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7601.16 to the nearest 10.\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -1617*y - 16162. Suppose 0 = -4*i - 2*c + 272, 4*c = -2*i - c + 120. Calculate the least common multiple of k(-10) and i.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 36 + -14 + 1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.515508 milligrams to kilograms.\nAnswer: 0.000006515508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -16. Suppose 69 = -i*w + 494. Suppose -w = -6*a + a. What are the prime factors of a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4 + (-24)\/8)\/(1\/16). Solve 2*h - j = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-4\/7))**24 assuming s is positive.\nAnswer: s**(264\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*n**2 - 28283*n + 28283*n to q + h*n**2 + b*n and give h.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 - (-7 + -1)) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, g: 7}. What is prob of sequence gg?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.0205 + -0.4795. Suppose y - 5*f - 9 = 0, -3*y = -5*y + f. Which is the closest to -0.4? (a) t (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 minutes before 8:20 AM?\nAnswer: 6:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000492 rounded to seven decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 1. Suppose 5*f = -87 - 723. Let m be ((-20)\/9)\/(36\/f). Determine n(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 189 - 71. Let f = -94 + u. Solve -4*v - q + 18 = q, 5*v + q = f for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 11. Does 9 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2. Suppose 0 = 9*l - 4*l - 20. Suppose 0 = -2*f - 2*f + l*o + 8, o = 0. Let t(b) = -25 + 9 - 13 + 7 + b**2. Calculate f*t(m) + 22*s(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) -19\/2 (c) -6 (d) -3\/5 (e) -2 (f) -2.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.008 + 4.992. Put t, -0.1, 3 in increasing order.\nAnswer: -0.1, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1604 or 1157?\nAnswer: 1157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of 0*d + 0*d**4 + 0*d**3 + 12*d**2 + 0 - 1\/60*d**5. Let w(n) = 4*n**2 - 3*n**2 + 2*n**2 + 4*n**2. Determine w(v(l)).\nAnswer: 7*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.9259992382 + -19.926. What is f rounded to seven decimal places?\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22 + -17. Let r = g - 5.4. Sort 3, r, 0.2 in decreasing order.\nAnswer: 3, 0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6 + 4\/((-4)\/3). Suppose -2*u = -u - 2*x - 106, -4*u + k*x = -424. Suppose -5*r - u = -461. What is the remainder when r is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.25*-28195.\nAnswer: -7048.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 4*f - 10 = 0, -2*f + 14 = 5*v + 4. Let m(z) = -z**2 + z + 2. Let o be m(6). Let b = v - o. What are the prime factors of b?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 2*o = -11, 0*a - 3*o = -a - 8. Let q be a + 1\/((-1)\/(-3)). Suppose f - 7 = -2*s, -17 = -q*s - 2*f - f. Is s less than or equal to 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -16*d + 4. Let f be s(4). Let r be (1\/(-2))\/(5\/f). Calculate the greatest common factor of r and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t**3 + 135*t**2 + 16*t + 8. Let n(y) = 3*y**3 + 45*y**2 + 6*y + 3. What is -8*n(w) + 3*p(w)?\nAnswer: 3*w**3 + 45*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 5*t + 9. Let x be r(-3). Let n = -6 - x. Let v(p) = p**2 - p + 12. Calculate v(n).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ewe when three letters picked without replacement from rrwrrrerrewrrererer.\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 2. Let o = 591 + -4691\/8. What is the common denominator of 54\/8 - (v - -2) and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*v - 16*v. What is the nearest to v in 4, 2\/15, 9\/4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 87178 + 120c?\nAnswer: 88387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.09979 + 0.00021. What is the third biggest value in 172, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -11*c**2 + 6*c + 3. Let b(m) = -3*m**2 + 42*m - 2. Let u be b(14). Let z be i(u). Let h = 68 + z. Calculate the greatest common divisor of 3 and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -31.95 and 2\/9 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59825*c**4 + 93*c**2 + 4*c + 14 wrt c?\nAnswer: -1435800*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hf when two letters picked without replacement from {f: 2, h: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q + t, -3*q - 4*t = -q + 10. Let n = 11 + q. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 9*u**2 - 5*u - 12. List the prime factors of y(5).\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 271486000 to the nearest one hundred thousand.\nAnswer: 271500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 3 - 25. Let a(p) = -3*p + 180. Let f be a(0). Suppose 3*d = d + 6, f = 2*m + 4*d. What is the greatest common factor of k and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2697, 10768, 24221, 43056, 67273, 96872, 131853?\nAnswer: 172216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 3763629*w**2. Let j(g) = -3*g**2. Give j(f(d)).\nAnswer: -42494709748923*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 804 = -2*b. Calculate the common denominator of (0 - -1) + b\/(-60) and 37\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g**5 + 156*g**4 - 576*g**3 + 560*g**2 = 0 for g.\nAnswer: 0, 2, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 0*b - 7 + 3*b**2 - b + 0. Does 16 divide g(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o = 5*c - 6*o - 27, 21 = 3*c + 3*o. Let d = -5 + 5.4. What is the second smallest value in 0, d, c?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 87\/951509?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -6525*l**3 - 3*l**2 + 3*l. Let v(q) = -6521*q**3 - 4*q**2 + 4*q. What is 4*m(c) - 3*v(c)?\nAnswer: -6537*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(32\/(-18)))\/(4\/(-8))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7001654771?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 + -6 - (6 + 8 + -7)) + (-56 - -17)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -1\/6*n**3 + 1 + 1\/10*n**5 + 0*n**2 - 1\/12*n**6 + 1\/8*n**4 + 0*n. Solve h(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3))\/(t*t**(2\/9))*((t*t*t\/t**(-2\/11))\/t)\/(t**(2\/11)\/t))\/(((t**0\/t)\/t)**44\/(t**(-3\/5)*t**(-5)*t)) assuming t is positive.\nAnswer: t**(3743\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -301*a**3 + 2*a**2 + 3*a wrt a?\nAnswer: -1806","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13 and 5.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iyysrfriqfrr. Give prob of picking 1 y, 1 f, and 1 r.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111 is divided by 32.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-9)\/6)*-50. Suppose b = -r, 0 = 3*b - r - r - g. Suppose 253 + 42 = b*o. What is the remainder when o is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/1950 and 60\/375*155\/1482.\nAnswer: 37050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22 - 19. Suppose z = -3*m, 2*a - 5*m - 61 = -2*m. Let s = 45 - a. Is s a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 + 15*g**2 + 9*g + 57. What is o(16)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.315 times -363?\nAnswer: 114.345","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*q - 22, 0*c - c = 5*q - 25. Suppose -t + c + 2 = 0. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + h - 1. Let p(a) = -6*a**2 - 4*a + 4. Let t(o) = -3*p(o) - 16*x(o). What is the units digit of t(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 61\/3 of a day?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 15 - 1?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -1\/20*b**5 - 1\/12*b**4 + 0 - 39*b + 0*b**2 + 1\/120*b**6 + 0*b**3 + 1\/168*b**7. Factor x(r).\nAnswer: r**2*(r - 2)*(r + 1)*(r + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/16 and -43\/22.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 + 3*a**3 - a**4 + (a**2 - a**2 + a**2)*(-26*a**2 + 43*a - 43*a).\nAnswer: -27*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1970 + 6481?\nAnswer: 8341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 10:23 AM?\nAnswer: 3:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-14) + 1125\/315. Suppose -7*l - 111 = -118. Solve -x - l = s, -x + 3*s = -3 - a for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 11*p - 58. What is c(6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x**3\/13 - 152*x**2\/13 + 470*x\/13 - 316\/13 = 0. What is x?\nAnswer: -79, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**2 + 3*v. Let d be z(3). Suppose d*y + y - 30 = 0. Suppose y = r + 2*r. Is r a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151155, -302336, -453515, -604692, -755867?\nAnswer: -907040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -139\/19880 - 2\/1491. Is q at most 0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, 2, 351, -6, -5, 10, -4 in decreasing order.\nAnswer: 351, 91, 10, 2, -4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 190046486 - -21.\nAnswer: 190046507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j + 7. List the prime factors of t(9).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 363 (base 16) to base 2.\nAnswer: 1101100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -175231\/20 - -8759. Calculate the common denominator of t and (1 - (-81)\/6)*55\/66.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8466?\nAnswer: 2, 3, 17, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*c**2 + 824*c - 42436.\nAnswer: -4*(c - 103)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/4)\/(5 + 36\/(-8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 21*s**2 + 49*s + 46. Let k(c) = 5*c**2 + 12*c + 11. Determine 2*a(z) - 9*k(z).\nAnswer: -3*z**2 - 10*z - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/5 of a micrometer in nanometers?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 9 = 5*p - 152, u - 3*p = 57. What is u rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 20115, 20178, 20271, 20394, 20547?\n\"Answer: 15*c**2 + 18*c + 20082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -193893 divided by -27699?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -591, -1182, -1773, -2364, -2955, -3546?\nAnswer: -4137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2043*c**5 - c**4 - c**3 + 192*c - 3. Let k(o) = -2*o**5 + o**4 + o**3 + 2*o**2 + o. Let b(v) = -k(v) - w(v). Find the third derivative of b(m) wrt m.\nAnswer: -122460*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 93887 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z = 4*a - 29*z - 22, 2*a + 19 = 5*z for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12632? (a) 0.1 (b) -50 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-172)\/(-3)*(-4)\/(32\/(-12))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*z**4 - 7775*z**3 + 340680*z**2 - 1401500*z - 4228000 = 0. Calculate z.\nAnswer: -2, 7, 40, 1510","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/3 (b) -7 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2\/10 - 108281*l\/5 + 11724774961\/10.\nAnswer: (l - 108281)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 - 33. What is the remainder when 19 is divided by (-48)\/(-10) + (-7)\/y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51421354 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2411, -4441, -6449, -8423, -10351?\n\"Answer: 2*n**3 - n**2 - 2041*n - 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 206 - 206. Determine h so that -1\/2*h**5 + 0 + 0*h + m*h**2 - 1\/2*h**4 + h**3 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifty-three quarters of a century?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s - 1 + 2 - 3 wrt s.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - c**2 + 2*c + 4. Let j = 14 - 14. Let o be w(j). Suppose o*d - 2*d = 90. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 525978?\nAnswer: 2, 3, 29221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + -3. Let r = -40535493 + 113783130441\/2807. Let s = -2\/401 - r. Which is the nearest to s? (a) j (b) -1\/4 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10113023120 - -2?\nAnswer: -10113023112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2002211021 (base 3) to base 13.\nAnswer: 15b17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1.52 (b) -5 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -16042.48 to the nearest one hundred.\nAnswer: -16000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 684.6836 millimeters?\nAnswer: 684683.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y - 3*y + y)*(0*y - y + 0*y) + (8*y + 1 - 2 - 4*y)*(-y + y - 2*y).\nAnswer: -7*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 16*m + 1. Let u be 14\/(-63) - (-32)\/(-18). Calculate q(u).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -2*c**3\/11 - 20814402*c**2\/11 - 54154885105584*c\/11 + 162464842646424\/11 = 0.\nAnswer: -5203602, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, p: 2, h: 1, d: 4}. What is prob of picking 1 a and 3 d?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -555 - -326. Let o = -228.7 - p. What is the third smallest value in o, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45679931, -45679934, -45679939, -45679946?\nAnswer: -45679955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/10508 and -127\/26936.\nAnswer: 1912456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-3 + 1)\/(-12). Sort v, 2\/9, 2, -1 in ascending order.\nAnswer: -1, v, 2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1066.6205 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -5*y**3 + 4*y**2 - y + 5. Let p(u) = 4*u**3 - 4*u**2 + u - 4. Suppose -2*g = f + 11, 2 + 0 = g - 2*f. Let h(v) = g*p(v) - 3*c(v). Give h(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 804585 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0667358 in -2\/5, 2\/17, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 337, 573?\nAnswer: 809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 610, 1068, 1530, 1996, 2466, 2940?\n\"Answer: 2*b**2 + 452*b + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f**2 + 45*f + 515. Calculate v(18).\nAnswer: 2297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -80923\/7 + 11580. Let j be 4\/(-14) - (-11007)\/567. Let d = j - v. Which is the closest to 0.1? (a) d (b) -5 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1959 and -0.102.\nAnswer: -1959.102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 3*t + 52 = -0*t - 2*j, 0 = 2*t - 3*j - 78 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 96, 89, 70, 33, -28?\n\"Answer: -l**3 + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 + -9?\nAnswer: -3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 142741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.9 times 0.2?\nAnswer: 1.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -147605*n**3 - 4*n + 85612368?\nAnswer: -442815*n**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (104*8\/80 + 5 + -10)*5. Calculate the highest common factor of r and 2547.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 420 - 373. Let g(b) = b**2 + 25*b - 190. Calculate the remainder when d is divided by g(-32).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 24 = 4*o, 12 = 2*y + 3*y - 2*o. Is y not equal to 1\/120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51 = 33*p - 81 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -33.946 - 0.054. Let a = k - -17. Let o = -16.99999656 - a. Round o to seven dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 8*d**3*g**2 + 37*d**3*g + 91*d**2*g**2 + 2*d**2*g - 2*d*g**2 wrt d.\nAnswer: 48*g**2 + 222*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 7 = -2*i - 4, 5*k = 4*i - 13. Find the third derivative of -11*w**3 + 115*w - 5*w**i - 54*w - 54*w + 4*w**6 - 2*w**6 wrt w.\nAnswer: 240*w**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.15*1188114.\nAnswer: 178217.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 385.1031 to one decimal place.\nAnswer: 385.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.7914 centimeters in kilometers?\nAnswer: 0.000317914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 3, 1, -3.\nAnswer: -7, -4, -3, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62738748*-0.01.\nAnswer: -627387.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 + 5. Calculate the common denominator of ((-39)\/(-72))\/(b\/20) and -55\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.527908 * -82\nAnswer: 43.288456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 840 = -3*y - 5*o, 0 = -3*y - 5*o + 504. Suppose 0 = k - 5*k + y. Calculate the remainder when k is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411552599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/((6\/4)\/(-1)). Let o be v\/(-7) - (-212)\/(-7). Is -29 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85657?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 2. Let n(t) = 3*t + 1. Let q be n(-2). Let c be h(q). Calculate the greatest common factor of c and 132.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*d - 22*x + 27*x, 2*x + 11 = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117115?\nAnswer: 5, 59, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 15\/4 of a kilogram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*y - 138 = -138. Solve y = -25*s - 14 - 86 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.433 - -0.567. What is the closest to 2 in t, 2\/15, 2\/7, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196644 by -49161.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a meter?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12481418*k - 12481421*k + 37444254*k - 12481422*k.\nAnswer: -7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -1\/29, -17231, 5, -4?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.0442911 and -2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**2 - 4*c**2 + 3*c**2)*(3*c**2 - 3*c + 3*c)*(-76 - 10 - 22).\nAnswer: -648*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1576 times -8?\nAnswer: -1.2608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12 - 7. Suppose -4*v - 4*n = -48, v + l*n = 5*v - 21. Solve -2*z + v = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -f + 80a008?\nAnswer: 809ff9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3938 and -5*-6*(-2)\/(-6).\nAnswer: 19690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1710583 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2712 or 461103\/170?\nAnswer: 461103\/170","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 426*p - 187876. Determine x(-270).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 145.89 - 141. Let a = i + -9.89. What is the nearest to 3\/4 in 11\/2, 0.3, 2\/9, a?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 3*u + 2. Let t be b(-6). What is the tens digit of 21\/(-4)*t\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51939869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -3)\/(11 + -10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/108)\/((-1)\/(-6))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*f - 27 = 15 + 123 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -145279+5\nAnswer: -145274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.8 - 0.2. Let r = -8.1 - t. Let p = r - 0.9. What is the second biggest value in 5, 0.4, p?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 62 in -17, -0.4, -0.2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 13 = 4*s - 3*n, 3*s - 4*n - 26 = 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -117183527.9 to the nearest 100000.\nAnswer: -117200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -64112 or -64111?\nAnswer: -64111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2, 8, -4 in ascending order.\nAnswer: -4, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (213\/(-3))\/(0 - (-3)\/3). Let t = w + 43. Let x = t - -46. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifhff. What is prob of picking 1 f and 1 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 81414?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 38*s - 213. Let u be n(6). Sort u, -5, 0 in descending order.\nAnswer: u, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1830, 3590, 5350, 7110?\n\"Answer: 1760*w + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11386.7 - 11387. Sort 9, l, 4, -5, -1 in decreasing order.\nAnswer: 9, 4, l, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-192)\/(-240))\/(67\/65 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/532)\/((-1)\/(88 - 12))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of -x**5\/20 - 3*x**4\/4 + 9*x**2\/2 + x. Let w be u(-9). Suppose -3*r + 384 + w = 0. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -76*w + 79*w - 9. Let t be (-4)\/((-12)\/15) + w. Suppose 0 = -0*a - a - y - 2, 4*y + t = 4*a. Is -1\/28 less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.06 + -1.66. Let r = 1.53 + s. Let z be 14 + ((-126)\/9 - 2). Which is the second smallest value? (a) -0.1 (b) r (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*q. Suppose -11*w - 144 = -199. Put w, -2, q in increasing order.\nAnswer: -2, q, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2855 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 372\/11 - 2\/(-11). Let k = -36 + s. Is k equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15980?\nAnswer: 2, 5, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-5)\/(-2)*(-16)\/(-10). Suppose -z + 5*z + 32 = b*r, -3*z - 29 = -4*r. Let y(n) = n**3 - 2*n**2 - 2*n + 7. Does 12 divide y(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 723535 is divided by 120586?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p + 109. Let j(u) be the third derivative of -u**5\/30 - 7*u**2 - 34*u. What is j(n(z))?\nAnswer: -2*z**2 + 436*z - 23762","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, -116, 4, 71.\nAnswer: -116, 2, 3, 4, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 7*s**2 - 2*s + 8. Let i be (-280)\/84*(-72)\/(-4). Let l = 165 + -111. Let p = i + l. Give u(p).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -2, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(3630) - (sqrt(3630) + (sqrt(3630) + -4*sqrt(3630) - sqrt(3630)))) + sqrt(3630))\/(3*sqrt(1000)).\nAnswer: -4 + 11*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3186 divided by 6\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z = -2 - 70. Let a be 2\/7 - 594\/(-77). What is the greatest common factor of a and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of -11*b**8\/1680 + b**5\/30 - 65*b**4\/24 + 8*b**3 - 55. Let d(n) be the third derivative of l(n). Differentiate d(x) wrt x.\nAnswer: -44*x**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 7*r**6\/2 - 1041*r**5\/10 - 1407*r**4\/8 + 347*r**3 + 159*r**2 - 156*r - 141. Let i(d) = 0. What is d?\nAnswer: -2, -1\/2, 2\/7, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**2 - 5*j - 14. Let d(n) = -6*n - 179. Let k be d(-31). Let w be c(k). Solve g = -w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-62)\/(-37696)*-8.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*z - 9*z - 5 = -65 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fqah when four letters picked without replacement from {f: 5, i: 4, h: 1, z: 1, a: 3, q: 4}?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16285 is divided by 1718.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.04? (a) -2\/7 (b) -4 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1004951899.\nAnswer: 7, 3719, 38603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -72*a - 32234*a**2 + 16106*a**2 + 16129*a**2 + 8 as l*a + c + w*a**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5453 + -4?\nAnswer: 5448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/95)\/((-432)\/1350*(-70)\/(-28))?\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 77\/5, 2, -3, 15070?\nAnswer: 77\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 + 1)\/(-4 - -2). Let c(f) = -2*f**d + 2*f**2 + 3*f**2 - 5*f**2. Let u(a) = 3*a. What is c(u(s))?\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**4\/12 + 18*y. Let i(u) = u**2. Calculate b(i(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 317161\/20 - 15854. Find the common denominator of u and 33\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**3 - 4*w**2 + 3*w + 10. What is x(-4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -20221 smaller than -20220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0. Let j be ((-78)\/52)\/(99\/12). What is the nearest to s in 5\/6, j, 34?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 136567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**6\/540 - c**5\/30 + c**4\/9 + 20*c**3\/27 + 109*c**2. Determine l, given that v(l) = 0.\nAnswer: -10, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9*x**2 - 10*x**2 + 4*x**2. Let s(a) = -233*a - 223*a - 239*a + 712*a. What is f(s(d))?\nAnswer: -4335*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24631 is divided by 1641?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -13978.3726 rounded to the nearest integer?\nAnswer: -13978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(510\/120))\/((-2)\/(-7))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 5, -1, 1, -10 in decreasing order.\nAnswer: 19, 5, 1, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 10*u + 32. Let q be i(-26). Suppose 2*k = -2*k + q. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (4 - ((-3 - -6) + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -27 - (-24 - (17 + (-30 - 0)))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -779*d. Let i(f) = 22697*f. What is y(i(t))?\nAnswer: -17680963*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uif. Give prob of sequence ufi.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**5 + 44*g**4 + 102*g**3 - 244*g**2 - 304*g = 0. Calculate g.\nAnswer: -19, -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 19080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 79203 and 1122.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -12793900 divided by -3730\nAnswer: 3430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 0)*(-1 - 1 + 3)*(38 + 44 + 3866*j**2 - 82).\nAnswer: -3866*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, i: 2, f: 2}. Give prob of sequence fdif.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*j - 79*j = -104. Let a = j + -104. Let k(m) = -m**2 + 4*m. Let g be k(3). Solve a = o + 8 - g for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 150\/39) + (-75)\/65?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -7041 - -3?\nAnswer: -7036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c + 11*c + 38 = 0. Let q = c - -38. Is q a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.849 + 0.221. Let y = -0.09 - -0.02. Let n = y + f. What is the biggest value in n, -2, 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212222001 (base 4) to base 12.\nAnswer: 77769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -44*h + 18. Does 25 divide i(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s + 273*s - 116*s + 185*s to the form o + r*s and give r.\nAnswer: 351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3475824 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 22602 + -9167. What are the prime factors of c?\nAnswer: 5, 2687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -857968, -1715944, -2573920?\n\"Answer: -857976*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**7\/420 + o**6\/90 - o**5\/12 - o**4\/4 + o**3 + 26*o. Let n(k) be the second derivative of v(k). Is n(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 4*x + 48 = 3*x, -4*w + 3*x = -196. Let i(o) = -10*o**3 + 2*o**2 + 2*o + 1. Let c be i(-2). Let l = c - w. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1781 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: Expand (0*l**3 + 3*l**3 - l**3)*(-39 - 315 - 157).\nAnswer: -1022*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.58401146*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -103809.\nAnswer: 5\/103809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 0. Suppose 144*c - 140*c + t - 1 = 0, -5*t - 12 = 3*c. Solve -f - v = c for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1668225 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 918632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuauauuuuuuuauu. Give prob of picking 2 u.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 6*h - 38 = 0, -82*z + 83*z - h + 2 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 23. Let f = -309 + 310.97. Let s = f - -0.03. Put 0, s, m in decreasing order.\nAnswer: s, m, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:27 PM and 3:06 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 + 26*k**2 + 29*k - 64. Give n(27).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 20 + 0 = 0. Suppose 5*c - 2*t = 115, 3*c - 4*c = -x*t - 23. What is the remainder when (c\/(-3))\/((-8)\/24) is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 384758834?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 8*a**2 + 2*a + 68. Let t be o(9). Suppose -s = t*k - 625, 0*k + s = k - 131. Does 14 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3788.13 rounded to the nearest 100?\nAnswer: -3800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -14*s**2. Let f(p) = -2*p - 4. Let u be f(-4). Suppose -u = -4*b + 36. Let n(h) = b - 4 - 6 + 2*h. What is l(n(y))?\nAnswer: -56*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -13*p + 11*p + 5*r, -3*p = 5*r - 19. Let n = 10 + -6. Let j be (-2 - n\/(-2))\/1. Solve -b + p*b + 4 = j for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 5*r**2 + 3*r**2)*(-8*r + 8 - 8) + 4*r - r**3 - 4*r + (3*r**2 - 2*r**2 - 3*r**2)*(0*r - r - r) + 5*r**3 + r**3 - 3*r**3.\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*x - 5 = -13*x. Suppose 20*q + 41*q = 61. Sort q, x, 37 in decreasing order.\nAnswer: 37, x, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -239, -1022, -2345, -4202, -6587, -9494?\nAnswer: -12917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = 5*d + 37, 5*d - 7 + 36 = -w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1325002?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4.47*-7997.22.\nAnswer: -35747.5734","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i + 598*i**2 + 2*i + 2*i.\nAnswer: 598*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = 3*k - 4*t, -5*t - 21 = k - 6. Let i(q) = -16*q + 3. Let y(w) = 46*w - 8. Let g(x) = -8*i(x) - 3*y(x). Let u(f) = -5*f. What is k*u(z) - 3*g(z)?\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -24*q + 12*q + 15*q + 2. What is the units digit of y(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112 + -11212222011?\nAnswer: -11212221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 13*j**2 + 12*j + 2. Let z be x(-12). Let r(k) = -k**2 + 3. Let o(c) = 2*c**2 + c - 7. Let f(s) = 2*o(s) + 5*r(s). What is f(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5618338.\nAnswer: 2, 11, 19, 13441","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 197 = 83. What is the greatest common divisor of 8 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 10*x - 144. Suppose -20*n = -x*n + 284. Let j = -61 + n. What is the remainder when j is divided by 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 - 18 = 3*f. What is the highest common factor of 98 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1008) - 1*(sqrt(1008) + 2*sqrt(1008)) - -1*sqrt(1008)*-4).\nAnswer: -72*sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - u**2 - 5*u + 2. Let t be i(3). Suppose -4*w - t*x + 66 = 0, -2*w - 4*x + 0*x = -30. Calculate the highest common divisor of w and 209.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 144.28 - 145. Round p to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (106 - 68 - 119)*(-3*x**3 + x**3 + 4*x**3).\nAnswer: -162*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-1 + 1 + -3 - 13).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 964 = 10*b - 1156. What is the remainder when b is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/27)\/((-148)\/((-11396)\/105))\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3758*i - 1593383. Determine u(424).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2056600104?\nAnswer: 2, 3, 13, 6591667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000162374 to 7 decimal places.\nAnswer: 0.0000162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**2 - 7*n**2 + 4*n + 3*n**2 + 48 + 10*n. Let j be t(-9). Solve -j*m + 6 = 18 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-15)\/4 - 4\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) + sqrt(48)\/sqrt(3)*4)\/sqrt(8) + 1)**2.\nAnswer: 10*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1927989 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.05257935 rounded to one decimal place?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 8) to base 11\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 + 83. Let k be ((-13)\/650*5)\/(10\/36). Which is greater: j or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7475, -7466, -7457?\n\"Answer: 9*a - 7484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18076.\nAnswer: 2, 4519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -161 - -161. Which is smaller: 1\/13 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 913.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -11*j**2 - 25*j - 20. Let s(z) = 5*z**2 + 12*z + 10. Let y(t) = -9*s(t) - 4*u(t). Let b be y(-8). Does 9 divide 8\/b*1350\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46222 = 2*k + 4*c, k - 16*c + 17*c - 23114 = 0. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 - 1.3051.\nAnswer: -0.3051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1670*k**2 + 0 + 1662*k**2 + 2*k + 6 + 1 + 2 to the form t*k**2 + v*k + s and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 189463154?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33054 - -33170) + (1 - 1 - 22)?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -268*d + 542*d - 274*d - 2*d**3 - 14*d**2 - 2 to the form f*d + y*d**2 + t*d**3 + x and give y.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -542 - 2*n**2 - 794 - 4*n**3 + 3*n**3 - 351 + 2*n**3 to the form f + h*n**2 + t*n**3 + q*n and give f.\nAnswer: -1687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28\/(-21)*3 + 928?\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -156 + 500?\nAnswer: 344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, h: 2, t: 4, x: 2, c: 3, o: 1}. What is prob of picking 1 f, 1 o, and 2 h?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-303 - 753 + 374 - 608)*(b + 4*b + 0*b)*(-2*b**4 - 5*b**4 + 4*b**4).\nAnswer: 19350*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -1 + 13. Let x be (0 + (-1)\/(-39))\/(l\/(-36)). Which is the smallest value? (a) x (b) -0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k - 5. Let m be (-5)\/(15\/4)*1*-3. Suppose 3*w = 2*h + 27, m*h - w + 19 = -2*w. Determine z(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from iibb.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 128, 588, 1458, 2822, 4764, 7368, 10718?\n\"Answer: 14*k**3 + 121*k**2 - k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0 + 15 = 0. Suppose 20 = -4*x, 4*x + 24 = i*p - 3*p. Solve 3*c - 8 + p = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 7, z: 9}. What is prob of picking 2 h?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41063393?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 711 minutes after 10:13 PM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -241 - -321. What is the least common multiple of 50 and z?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 19*g - 35 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 9:51 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -306\/5 - -62. Which is greater: h or -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**3 + 96*v**2 + 280140*v + 26407400.\nAnswer: -4*(v - 314)*(v + 145)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 + 8*o**2 - 6*o - 3. Suppose 4*y = -x + 3, -2*y = 3*x - 20 + 1. Let c be p(x). What is the units digit of (2 + -48)*(-2)\/c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**3 - 6*q**2 + 7*q + 1. Calculate the remainder when 8\/(-2) - (-51 + -5) is divided by f(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -696*v - 15. Let d be b(-11). Suppose d = 5*u + 1546. Is u 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 12:33 PM and 5:31 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -916.9 + 911.9. Which is the nearest to 9? (a) 0.2 (b) -0.4 (c) -4 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -786852.9783 rounded to the nearest 100?\nAnswer: -786900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 234433\/1441 - 1150\/131. Let b = m - 155. What is the common denominator of b and -68\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((535896\/96)\/27)\/((-1)\/(3\/(-69))) + -9?\nAnswer: -1\/92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 17. Let m be 2\/(24\/10 + v). Solve -m*l - 4 = a - l, 5*a + 20 = -l for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 57712 and 890608.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -69*j + 72*j = 2*g + 4 - 8 + 17, -4*j + 4*g + 24 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-114)\/95)\/((-9)\/(-30)))\/((-1)\/10).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b*b*b**(2\/27)\/b)))\/b*b*b**5 assuming b is positive.\nAnswer: b**(164\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**4 + 3*a**4 - 2*a**4 + (-5*a**3 + 2*a**3 + a**3)*(-2*a + a - a) + 10*a**4 - 23 + 23.\nAnswer: 16*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 - g**5 + 0*g**5 - 3*g**2 + 3*g**2 + 8*g**5 + (2*g + 3*g - 6*g)*(30*g - 12*g - 17*g)*(-4 + 4 - 2*g**3).\nAnswer: 8*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199*c + 17136 = -163*c. Calculate the greatest common factor of c and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26846516 a multiple of 757?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -20*h**3 + h. Let b = -778 + 851. What is the remainder when b is divided by p(-1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 50 - 48. Suppose 0 = o*p - 2*m + 5*m + 19, -20 = p + 5*m. Which is the closest to -2\/5? (a) 0.06 (b) -0.4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 3*y - 6028. Let p(f) = -2*f**2. Determine p(o(t)).\nAnswer: -18*t**2 + 72336*t - 72673568","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0007037229221 to 6 decimal places.\nAnswer: -0.000704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 521 = -2*w + 4*h + 441, -139*h = -3058 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7040225626.\nAnswer: 2, 7, 71839037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -297 (base 11) to base 13.\nAnswer: -20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**5\/s**(-2))\/(s*s\/(s*(s*s**(-1\/5)*s)\/s)*s*s**2))\/((s**0)**(-3\/7)*s*s**0*s*s\/(s\/((s*s**5*s)\/s))) assuming s is positive.\nAnswer: s**(-21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5320, -10629, -15928, -21217?\n\"Answer: 5*x**2 - 5324*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**3 + 18*c**2 - 495*c = 0. Calculate c.\nAnswer: -33, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(5*2\/8)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 + 10*y**2 + 3*y + 12. Let j be 11\/44*-4 + -8. What is g(j)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 42, -3, 2\/5, 5, -40 in decreasing order.\nAnswer: 42, 5, 2\/5, -3, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-82)\/4*(-7)\/(-112)*2752\/86?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-1 + 5) - 0) + (1 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 + 2*c**2 + 5*c + 1. Let z(a) = -3*a**3 + a**2 + 4*a. Determine 2*r(n) - 3*z(n).\nAnswer: 5*n**3 + n**2 - 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 297368, 1, 11 in descending order.\nAnswer: 297368, 11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -8 in decreasing order.\nAnswer: 3, 1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 13 = 2*v - 3*v, 5*g = -v + 17. Find the common denominator of 87\/124 and ((-12)\/10)\/v - (-7035)\/(-2400).\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259, -614, -1169, -2026, -3287, -5054, -7429?\nAnswer: -10514","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -1524317760.\nAnswer: -1524317757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of d**5\/15 + 11*d**4\/24 - 12*d**2. What is the second derivative of p(j) wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z**3 - z + z)*(-3 + 2 - 1 + (-18 - 100 - 23)*(-1 + 5 - 17) + 0 + 1 - 2).\nAnswer: 1830*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2608 is divided by 1288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, y: 2, v: 2, n: 4}. Give prob of picking 1 y and 1 n.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64219 and 1293?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 354 - 225. Suppose 4*z + f = -4*g + 5*g, 3*g - 5*z = 380. Calculate the greatest common factor of g and 75.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9403842?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57567 - -86853. List the prime factors of a.\nAnswer: 2, 3, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 + 4. Let d = 34 - 35. Let x = 1.3 - 1.6. What is the nearest to d in 4, x, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes after 12:57 PM?\nAnswer: 4:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w**2 - 11*w - 24. Let t(q) = -6*q**2 - 32*q - 73. Let m = 45 - 43. Let r(c) = m*t(c) - 7*y(c). Is 10 a factor of r(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 145206 and 145265 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the third derivative of 53*y**9\/18 - 753*y**5\/20 + y**4\/24 - 2137*y**2. What is the third derivative of i(b) wrt b?\nAnswer: 178080*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 35. Suppose s*f + 0*f + 4 = 0, 2*l - 5*f = 9. Solve -5*i + l*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6021892 to the nearest integer?\nAnswer: 2454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12948928\/1280)\/(24\/(-10)). Let d = 4216 + n. Calculate the common denominator of d and -85\/66.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 12*x = -1032. Let b = -122 - x. What is the highest common divisor of 63 and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 1:02 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 PM and 5:32 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -12. Let l = -0.04 - -3.04. Sort k, 1\/8, l in descending order.\nAnswer: l, 1\/8, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 + 8*y**2 - 8*y - 11. Suppose -5*q - 2 = 3, 0 = -2*j - 2*q - 20. Let t be a(j). List the prime factors of ((-72)\/t)\/(1\/5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-88)\/6 - 1)\/((-22)\/66). Suppose -13 = -3*y + 5. Let x = t + y. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4555 + 11618. List the prime factors of s.\nAnswer: 7, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*b**3 - b**2 - 3*b**4 + 14*b**3 + 2*b to d*b + r + z*b**4 + k*b**3 + u*b**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 167309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 417 and 108.\nAnswer: 15012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(-5))\/((-19)\/665). Let f = -35 - t. Solve 0 = -16*m + f*m - 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13876*p - 13876*p - 29*p**3 - 31*p**3 + 55*p**3.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53886091 to the power of 1\/2, to the nearest integer?\nAnswer: 7341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -23 - 3. Suppose -17*a - 51 + 136 = 0. Suppose 0 = -k + 7. Solve k = -a*c - g for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 116480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.0275 - -0.00198\nAnswer: -0.02552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 15 = 3*k. Suppose k*r - 26 - 1 = 0. Let u = r + -3. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -184, 5, -6, -1 in increasing order.\nAnswer: -184, -6, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26892 + (0 - (-12 + 8)) - -4.\nAnswer: 2, 5, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzzzzszvzz. What is prob of picking 2 z?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2533, -10545, -23921, -42661, -66765, -96233, -131065?\nAnswer: -171261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76412 divided by -168?\nAnswer: -2729\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -8*l - 2. Give p(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + 566494.\nAnswer: 566498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 2596?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 212460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3869 by -3191.\nAnswer: -3869\/3191","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u**3 + u**3 + u**3 + (-1 + 1 - u)*(-4*u**2 + 3*u**2 - u**2))*(-9*u**2 - 15*u**2 - 5 + 26*u**2).\nAnswer: 8*u**5 - 20*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80.9 - -81. Let w = 136.6 - 137. Sort w, o, -1\/3, 3\/7 in decreasing order.\nAnswer: 3\/7, o, -1\/3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7566 + 3168 = m - 4*o, -53770 = -5*m - 5*o. List the prime factors of m.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2 + (33 - (-2 - -4))?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20532 divided by 8?\nAnswer: 5133\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/27846 and -83\/120258?\nAnswer: 10943478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q = f - 6*f + 523, 5*q - 5*f = -650. Let z = q - -383\/3. Which is the third smallest value? (a) 5 (b) z (c) 15\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -5148027 and 0.15?\nAnswer: 5148027.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1933\/5 (b) -0.4 (c) -5 (d) -2 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n + 3*n**3 + 3*n**2 - n**2 - 4*n**3. Let j be c(1). Let b(t) = j - 2 - 2*t + 1. Calculate b(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 5, y: 3, o: 1, n: 2, c: 5, g: 4}. Give prob of picking 2 y and 2 r.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 3092651 = 3092652?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1100010 (base 2) to base 13\nAnswer: -77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a minute in seconds?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 PM and 11:28 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33493925 and 10.\nAnswer: 66987850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -4.86\nAnswer: 14.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g - 3. Let o(y) = y. Let d(z) = -l(z) - 5*o(z). Let h be d(-5). Sort -4, h, -3 in decreasing order.\nAnswer: h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/(-8))\/((-2)\/(-8)). Let b be 42\/(-70)*(-5)\/s. Let d(g) = g**3 - 4*g**2 - 4*g + 1. Let q be d(5). Solve -15 = q*o - b*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + ((-564)\/(-84) - (7 - 2))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -15.3. Which is the second biggest value? (a) 5 (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.29, 2, -1, -1\/4, -4\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**2 + 2*b + 14. Let m be s(5). Is 2\/103 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 898 + -896. Let f(o) be the third derivative of 0*o + 1\/20*o**5 + 1\/3*o**4 + 0 - 3*o**x + 0*o**3. What is the second derivative of f(d) wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.32084547 rounded to three dps?\nAnswer: 16.321","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 + 3*b. Let o = 46 + -31. Suppose 2*n - 3*x = -0*n - o, 4*x - 16 = 2*n. Let m = 75 + -49. Let w(d) = 4*d**2 + 13*d. Determine m*c(q) + n*w(q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((16\/(-68))\/1)\/((-26)\/(-65)).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 372 and 1649572.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(300*m - 1933 + 1933)*(-4*m - 2*m + 3*m + (2 - 5 + 2)*(0*m + 0*m - 2*m) + 4*m + 0*m - 5*m) to the form x*m + r*m**2 + q and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 + 137*v**2 - 4599*v + 2309. Give z(57).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3966 + -2481. Let h be (1 - 4) + (f\/(-9))\/(-11). Calculate the greatest common factor of 36 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, k: 4, x: 4, e: 5, y: 5}. Give prob of sequence kxxs.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 109 a factor of 31702432?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.632? (a) 1\/5 (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eqsea. What is prob of picking 1 q and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nun when three letters picked without replacement from {u: 3, n: 2, b: 13}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -0.04, 82, 1\/5, -0.4, 3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, p: 4, m: 1, y: 3, k: 1, g: 1}. What is prob of sequence hyp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000049464 rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + (-2 + -1 - (0 - 1))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**3 + l**2 - 7*l + 6. Determine c(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 120348967 to the nearest integer?\nAnswer: 10970","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 14 - 14. Suppose -4*i + x*i + 96 = 0. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2638.999992275 + 2639. Round s to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5629756*p**5 - 52275*p - 44 wrt p.\nAnswer: -112595120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 13. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**21*f)\/f)\/(f*f**(-8\/5))*(f\/((f\/f**(-10)*f*f)\/f)*f)\/((f\/f**6)\/f) assuming f is positive.\nAnswer: f**(88\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 PM and 3:58 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of k*v*w**2 + 71*k*v*w*y**2 - 2*k*v*y**2 - 9*k*v*y - 3*k*v - 2*v*w*y - 2*v*y wrt w?\nAnswer: 2*k*v*w + 71*k*v*y**2 - 2*v*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2. Let x(v) be the third derivative of 0*v**4 + 0*v**3 + 0*v - 3*v**2 - 1\/60*v**5 + 0. Determine h(x(i)).\nAnswer: i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(13)*-3 + sqrt(13) + -2)*-1)**2 + 3.\nAnswer: 8*sqrt(13) + 63","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110010 - 102201211001?\nAnswer: -102202021011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 18.2. Which is the third biggest value? (a) -0.3 (b) n (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -405*a**2 + 84*a**2 + 184 + 3*a - 4*a + 475 wrt a?\nAnswer: -642*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cttt when four letters picked without replacement from tttttettyyctcmmmyyt.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 180*c + 36*c + 118*c + 29*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**2 + 13*n - 12. Let v be o(12). Solve v = 4*f - 2*f - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/651 and 47\/4335.\nAnswer: 940695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence did when three letters picked without replacement from {d: 3, n: 1, i: 7, r: 1, x: 3, t: 3}.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 207721.\nAnswer: 207721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.73941741 + -204028.83471741. Let c = 203914.1 + n. Let q = c + 98. Round q to 3 decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -24 + ((-16)\/(-48))\/((-2)\/6). Let v be (r - -22)*(-2)\/6. Solve 5*q + 3*u = -1 - 2, u = 4*q - v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*h**2 - 1 - 2*h + (2*h - 3*h + 2*h)*(0 + 0 - h))*(-23*h + 176*h - 11*h)*(-2 + 3 + 2).\nAnswer: 426*h**3 - 852*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.9594 kilograms to milligrams.\nAnswer: 19959400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -10*h**2. Let b(m) = -340358*m + 340708*m + 1 - 1. What is b(z(r))?\nAnswer: -3500*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 347558769*m**5 - 4770*m + 11121?\nAnswer: 6951175380*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*x**2 + 0*x**2 + 3*x**2 - 14*x**4)*(146 - 146 + 16*x).\nAnswer: -224*x**5 - 48*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in -0.1, 2, -0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 4*q**2 - q - 1. Let t be z(-4). Suppose -3*v + h + 26 = v, 0 = -5*v - t*h + 24. What is the least common multiple of v and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of 0*m + 0*m**5 - 2\/7*m**7 + 0*m**6 - m**3 - 3 + 0*m**4 + 0*m**2. Find the third derivative of w(h) wrt h.\nAnswer: -240*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3234 - -3276. Solve -n = -9*g - 60 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(2*(-6)\/24))\/2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -196365.491 and -3.\nAnswer: -196368.491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 divided by 7118990.\nAnswer: -7\/1423798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/3516800 and 93\/4923520?\nAnswer: 24617600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-32 - 0)*(-37398)\/17344?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**2 - 274. Let y(b) = 6*b. What is d(y(k))?\nAnswer: -36*k**2 - 274","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*a + 4 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -12*f**5 - 9*f**4 + 399*f**3 - 855*f**2 + 189*f = 0.\nAnswer: -7, 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 0 + 4)*(-3*x + 3*x + 2*x) - 2*x + 2*x + x)*(2 - 2 - x**2)*(-2 - 3 + 4).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75 = 3*x + 2*f, -x + 70 = -11*f + 58 + 37 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 1 = 17*g - 19*g, 4*g - 7 = -d for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1303763401 smaller than -1303763400?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of -9*t**5 + 24*t + 405\/2*t**2 + 2\/3*t**6 + 195\/4*t**4 + 1 - 135*t**3. What is n in m(n) = 0?\nAnswer: 3\/2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400581 is divided by 16624?\nAnswer: 1605","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 45957547?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 150 (b) -4 (c) 0.3 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 191579?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccc. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8820 - -10488. What are the prime factors of k?\nAnswer: 2, 3, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-32)*x*x*x*x**(-8\/9)\/x*x)\/((x*x*x**(-18))\/(x\/x**(8\/9))) assuming x is positive.\nAnswer: x**(-124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 2*y - 7. Let c be b(4). Solve 3*f - c = 2*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 96624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(((r*r*r**(3\/2)*r*r)\/r)\/r*r)*r*(r**(-5\/3)\/r*r)\/r*r*r**(-4)\/(r\/(r\/(r*r\/r**(7\/2)))) assuming r is positive.\nAnswer: r**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(110) + -3*sqrt(110))*1)\/(sqrt(1440) + 4*sqrt(1440)).\nAnswer: -sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 0*a**2 + 0*a**3 - 1\/30*a**6 - 5*a + 0*a**5 + 0 - 5\/12*a**4. What is the third derivative of w(h) wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 37692 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/49 or 11733?\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35*(-5)\/(-70)*8\/(-30)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*t + 2*t - t + (64*t + 29 - 29)*(2 + 3 - 3)*(-36 + 8 - 27) + 1 + 2*t - 1 to the form g*t + w and give g.\nAnswer: -7037","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + (-39)\/(-6))*30\/(-45). Let q(b) = -8*b**3 - 19*b**2 - 7*b + 1. Let r(x) = 24*x**3 + 58*x**2 + 22*x - 4. Let a(s) = k*r(s) - 8*q(s). Factor a(h).\nAnswer: -2*(h + 1)*(h + 2)*(4*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407210 rounded to the nearest 10000?\nAnswer: 1410000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1108396?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of 0 - 5\/12*h**3 - 1\/16*h**6 + 22*h**2 + 5\/16*h**4 + 0*h + 1\/24*h**5. Factor v(m).\nAnswer: -5*(m - 1)*(m + 1)*(3*m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (11 + -4)) + 1 - -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q. Let m be h(11). Suppose 5*u = w + 63, -m*u = -7*u + 5*w - 62. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 5*i**2 - 5*i**2 + (9*i - 26*i + 11*i + 4)*(i - i + 3*i**2) as r*i + q*i**3 + z*i**2 + m and give q.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -87*t - 1041. Let o be u(-12). Solve 2*i = x - o, 6*i - 8*i = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -32\/235 and -7\/12455.\nAnswer: 12455","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -242*s - 40. Give i(0).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4*t + 835 = -q, t - 440 = -4*q. Let z be (4\/(-7))\/((-40)\/t). Solve -4*d = -2*k - 2 + 16, 3*d - z = -4*k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -128 divided by 8\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/23 + 656244*t\/23 + 12467914\/23.\nAnswer: 2*(t + 19)*(t + 328103)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/371 and 89\/318?\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 185618?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 7\/2 (b) -14 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 52 - (61 + (-30 - -8))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - 5*g + 291, -2*c - 2*c = -2*g - 298. Suppose -q - 4*i = -40, -c - 236 = -5*q + 2*i. Is q a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 11402445543?\nAnswer: -11402445542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2388 and 24359700.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-18) - 13*(-10)\/390. Find k, given that -2\/3*k**2 + 0*k**3 - 4\/9*k + 0 + v*k**4 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 3*t = -2*t - 94, 0 = -2*t + 8. What is the remainder when 178 is divided by x?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 321\/(-231) - (-3)\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 41194*h**2*v - 6*h**2 - 4*h - 86 wrt v.\nAnswer: 41194*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 11:19 AM?\nAnswer: 11:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w. Let b(g) = 2*g**2 + 34*g. Give j(b(s)).\nAnswer: 2*s**2 + 34*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 8*h - 65 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4 + 29*r**3 + 54*r**2.\nAnswer: r**2*(r + 2)*(r + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_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: What is next in -6540257, -6540249, -6540215, -6540143, -6540021, -6539837, -6539579, -6539235?\nAnswer: -6538793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 9 - 79*y - 1 + 2 + 31. Let g be k(19). What is g rounded to the nearest 100?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.79 - 0.21. Let z = s - -4. Which is the biggest value? (a) -4\/7 (b) z (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus -296.75?\nAnswer: -296.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2, -1\/6, -4.3, -0.5?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the second derivative of -2*y - 1\/2*y**5 + 0 + 0*y**4 - 17\/6*y**3 + 0*y**2. What is the second derivative of f(j) wrt j?\nAnswer: -60*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12740)\/(-2184) + (-1028)\/24?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12240088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -2*c. Suppose 3*z - 7*z + 24 = c. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2178 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 7\/3, 6770?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t + t + 3 - t. Let b = -4 - 1. What is the smallest common multiple of 22 and y(b)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.132 + -161.868. Let h = 162.00000087 + q. Round h to seven decimal places.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 10:07 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 737950*v + 11807712.\nAnswer: -2*(v - 16)*(v + 368991)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i + 6 + 54. Suppose -i*x + 36 = -6*x. Solve -3*g + 0*g - x = 0 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -12 - m**2 + 3 + 2*m + 7. Give z(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 2:35 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -1248*h**2 + 4 + 2*h + 627*h**2 + 623*h**2. What is the remainder when v(-12) is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*r**3 + 79*r**2 - 1 + 28*r**3 - 44*r**2 - r - 37*r**2 to the form v + d*r**2 + u*r + q*r**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 223 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8 = 2. Solve 2*u + t = -0*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -0.26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-2\/3))\/b*b*b**8*b\/b**(-6)*b*b**(-5)*(((b*(b\/b**7)\/b)\/b*b)\/(b**6*b))\/(b\/(b*b**(-1)))**(15\/7) assuming b is positive.\nAnswer: b**(-80\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 o when two letters picked without replacement from algglocpgoc.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -345465 + 345463. Let n = -0.3 - -0.2. What is the fourth biggest value in -3\/5, p, n, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -670247\/22 less than -30465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = 3*v - 97, 0 = 6*v - 7*b + 5*b - 196. Suppose -5*j + 6 = -f, v*f - 37*f = 4*j - 24. Solve -6 = -f*a + 10 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 4, -2903.347, 0.1 in increasing order.\nAnswer: -2903.347, 0.1, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 2\/7, 49, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47594*j**2 + 42441*j**2 - 30 + 30.\nAnswer: -5153*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 24918?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8)*1*-2)\/(-2*sqrt(256)) + -3.\nAnswer: -3 + sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 482, 411, 326, 221, 90, -73, -274, -519?\nAnswer: -814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 + 163756*f\/7 - 3352003442\/7.\nAnswer: -2*(f - 40939)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 131883473 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 30.4 and 3301\/21 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 b when four letters picked without replacement from {b: 12, m: 3, n: 2, p: 3}?\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 2 - 6. Suppose s - y*u = 1, -3*u - 2*u = -s. Is s greater than or equal to 33\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 967855 = 16048*f - 2744*f - 5325*f + 19674*f for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gfggglghh. What is prob of sequence gh?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b**2 + 1437930*b + 172303557075 = 0. Calculate b.\nAnswer: -239655","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 = -56*b - 1452 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/325 and 97\/324324.\nAnswer: 8108100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1132\/(-6)*(-36)\/8. Let f be -15*(4 - 22\/6). Let u be (w + 1)*(-3 + f). Round u to the nearest 1000.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000212937827 rounded to 5 decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of -k**5\/20 + 4*k**4\/3 - 2*k**3 - 5*k**2\/2 + 373*k. What is l(15)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12439817?\nAnswer: 13, 956909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -41 (b) 0.06 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -504\/4883, 2\/25 in descending order.\nAnswer: 7, 2\/25, -504\/4883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c. Let w(v) = 2*v**2 - v - 5. Let r(n) = 5694*n**2 - 3066*n - 15330. Let u(p) = -4*r(p) + 12264*w(p). What is l(u(z))?\nAnswer: 1752*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 96 and 8032?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001031140344 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/6222 and 31\/60390.\nAnswer: 1026630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1192, -1541, -2036, -2671, -3440, -4337?\nAnswer: -5356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 3*x + 123, 0 = 2*g + 5*x - 59 - 26. Let k be ((-64)\/g)\/((-2)\/15). Let l = 33 - k. Does 10 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2173183 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**2 - 41*a**2 + 13*a**2 + 12*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 344 is divided by 101?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 182189 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 524189 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2747?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from uhzzuzz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 12 = -p. Let o be ((-5)\/5)\/(525\/(-30)). Put 0.1, p, o in ascending order.\nAnswer: p, o, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 4 - -34 - 7) + -4 - 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**3 - 6*z**2 + 25*z + 75. Suppose 0*q - 3*q + 51 = 0. Calculate the remainder when q is divided by s(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 8*p + 4*p**2 + 3*p - 21*p - 1 + 10*p. Calculate x(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 188.9081 + -190.0490702. Let v = 13.2411242 + p. Let f = v - 12.1. Round f to 5 dps.\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.235719t?\nAnswer: 1235719","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -31329*i**3 + i**2 - i - 1503?\nAnswer: -187974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23207148 is divided by 1236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put together 249115985.3938 and 19.\nAnswer: 249116004.3938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -111*y**4 - 206*y**2.\nAnswer: -2664*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. List the prime factors of (0 + -1)*(q - 4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40963759 to the nearest integer?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 16*t**3 + 46. Let x(d) = 3*d**3 + 9. Calculate 2*o(p) - 11*x(p).\nAnswer: -p**3 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3071491 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) be the second derivative of 0 + 0*f**2 - f**3 - 3\/8*f**5 + 37*f - 1\/20*f**6 - f**4. Let k(d) = 0. Calculate d.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*u = 15063 - 15480 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 283458718 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v. Let l(n) = -12*n + 133*n + 38*n + 15*n. Determine t(l(s)).\nAnswer: 348*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -42, -2\/11 in descending order.\nAnswer: 5, 3, -2\/11, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 + -3530818\nAnswer: -3530818.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (((-350)\/(-15))\/14)\/((4 - 7)\/(-3420)) and 250?\nAnswer: 9500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -236536, -236537, -236538, -236539, -236540?\n\"Answer: -t - 236535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-114)\/(-95))\/((4\/5)\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/13856 and 27\/32.\nAnswer: 13856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t + 5. Is 17 a factor of f(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvxfxlvfllf. Give prob of picking 2 f.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13 or 31?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*w + 5 - 14*w**3 + 20*w**3 - 8*w**3 - 6 - 2*w**2 in the form y + p*w + n*w**3 + h*w**2 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13 and 195.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - -56?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 42222428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1251371 divided by 11.\nAnswer: -113761","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7110 + 7107.66. What is v rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the third derivative of -g**6\/420 + g**5\/105 - 5*g**2. Suppose f(n) = 0. What is n?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1855 divided by 1855\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5642120?\nAnswer: 2, 5, 11, 12823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392 and 222166.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 3:03 PM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43522.22 meters to kilometers.\nAnswer: 43.52222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6293, 6286, 6267, 6230, 6169, 6078, 5951, 5782?\nAnswer: 5565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1179 and 27641?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m*m**(-9))\/m*m))\/(((m*m**(-2))\/m)\/m))\/((m*m*m\/(m\/(m*m*m**(-10)*m)))\/((m*(m*m\/((m**(-2\/5)*m)\/m*m*m))\/m)\/m)) assuming m is positive.\nAnswer: m**(77\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -a + 3. Let y be 5\/3 - (-12)\/a. Suppose -y*n + 13 + 25 = 0. Calculate the remainder when 50 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 25027, 50053, 75079?\n\"Answer: 25026*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3370843 divided by 7.\nAnswer: -481549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3719575311?\nAnswer: 3, 1239858437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 9, 35, -1, -13, 2.\nAnswer: -13, -3, -1, 2, 9, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/7*b**4 - 33\/7*b**3 + 234\/7 - 93\/7*b**2 + 177\/7*b = 0 for b.\nAnswer: -3, -1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -21*i + 48. Let q(j) = 10590418 + 3*j**2 - 10590418. What is q(a(y))?\nAnswer: 1323*y**2 - 6048*y + 6912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*q + 2*q**5 - 3*q + (-18*q**3 + 5*q**3 - 17*q**3)*(-q**2 - 2*q + 2*q + (-q + 1 - 1)*(5*q - 5*q + 2*q) - 4*q**2 + 31*q**2 + 3*q**2) - 3*q**5 + 2 - 2.\nAnswer: -811*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 + 8 - -8 - -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*s**3 + 190*s - 190*s + (0 - 2*s + 0)*(-2*s**2 - 13 + 13) to the form o*s**3 + c*s**2 + m + j*s and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/58 and -57\/22.\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -47214*v**2 - 111*v - 7. Let u be a(-3). Round u to the nearest one thousand.\nAnswer: -425000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58591016*j = -3*n + 58591020*j + 41, -36*j = -4*n + 392 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3356819 - -2.1782?\nAnswer: 3356821.1782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/(-120)*-10*24. Let l(o) = -o**3 + 5*o**2 + 4*o - 3. What is l(p)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 0*n + 2*n - 6*n + 3*n. Let h(t) = -6*t. Suppose -208 + 200 = -4*o. Let u(y) = o*h(y) - 11*d(y). Let v(w) = 4*w**2. Give u(v(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -86 + 129. Let u = -43.32 + d. Let n = 0.02 + u. What is the nearest to 3\/5 in -3\/8, n, -0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 h when two letters picked without replacement from {h: 3, d: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**3 - 3*c**2 + 2*c. Suppose 2*l + 7 = 17. Suppose -2*y = -l*h - 0*h + 10, h - 2 = -3*y. Suppose 4*m + 5 + 11 = y. What is b(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgt when three letters picked without replacement from tttttqttqtqtttg?\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = 12*v - 0*v. Solve 0 = 3*q + 13 - v for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, -1839, 15, 2 in descending order.\nAnswer: 15, 2, -2, -3, -1839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 2 + sqrt(363))**2 + -2.\nAnswer: -44*sqrt(3) + 365","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 67 and 1809.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(208) + sqrt(208) + sqrt(208) + (1*sqrt(208))**2 - (sqrt(1053)*2)**2))*4.\nAnswer: -16020 + 48*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5589536kg in tonnes?\nAnswer: 0.0005589536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*i - 2. Is ((-3)\/1)\/(i\/158) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 331 = 1569. Let p = -159 + n. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -2*l + 8, 0 = -2*h + 5*h. Suppose -g - l = 3*g. Let f(k) = -6*k**2 - 1. Let a(j) = 5*j**2 + 1. Let i(v) = -5*a(v) - 4*f(v). What is i(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -142 + 153. Let h(r) = r**2 - 3*r - 63. Let w be h(q). Solve 4*a - w = -a + 2*i, -a - i + 5 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -2. Let v(m) = 1. Let c(b) = q(b) + v(b). Let k(h) = -h**2 - 1. Calculate c(u) - k(u).\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from {p: 12, o: 1}.\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 126305367 to the nearest 10000.\nAnswer: 126310000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 3*l**2 - 465*l - 947. Let d be y(157). What is the nearest to -0.1 in -12, d, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111343 by -103.\nAnswer: 1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62783272.\nAnswer: 2, 7847909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 124817 by 11.\nAnswer: 11347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*b + 39 = 105*b - 3*y + 213, 3*b - 3*y = -0*y - 30 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 163522 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -59, -134, -225, -332, -455, -594, -749?\n\"Answer: -8*p**2 - 51*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 537 a factor of 344754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/4587 - 9305\/36696. Find the common denominator of x and -13\/198.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -5*d + 3*d - 37, 0 = -2*z + 2*d + 64. Solve 2*a - 25 = -z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20476626 is divided by 243?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*s + 71*s = -60800. Round s to the nearest one thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208, -810, -1832, -3274, -5136?\nAnswer: -7418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 176*s**2 + 2*s + 6. Let p be o(5). Let c = p + -57474\/13. Let z = c - -436\/91. Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 - 5*b + 110. Let n be m(-13). What is the third derivative of 73*p**2 - 511*p**5 + 2*p**n + 501*p**5 + 48*p**2 wrt p?\nAnswer: 240*p**3 - 600*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 12:05 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1.8 (b) 2\/13 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0*w - 4*w + 13, 0 = w - 1. Let d be (-20 + 2)*3\/y. Let c = d - -48. Calculate the remainder when c is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6*j + 0 + 0*j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1323\/2142 + (-4)\/34. Let l = 4 - 4. Let k = 4.81 - 2.81. What is the closest to k in m, l, 3\/17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((-6 - -14)\/(-8)) - -10.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a centimeter in millimeters?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*s - 3*s + 4*s + (s - 4 + 4)*(-1 + 5 - 6) + 6*s - 3*s - 4*s + 7*s + 3*s - s + s + s - 3*s)*(151 - 4*s - 153 - 6*s) to j*s**2 + d*s + q and give d.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 55435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-4 - (-9 + -4)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - c**2 + 2*c - 1. Let j be m(-2). Let k = j + 6. What is the third smallest value in -5, -2\/11, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(200) - (sqrt(200)*-3 - sqrt(200) - sqrt(200))) + -2*-1*sqrt(200) + 2 + 6*(sqrt(200) + (1*sqrt(200) - sqrt(200))*1 + sqrt(200))**2.\nAnswer: -100*sqrt(2) + 4802","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, y: 1, z: 1, m: 1, h: 1, t: 1}. What is prob of sequence tr?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: ((-1456)\/(-42))\/(156*(-14)\/(-2016))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 116 from -0.051018.\nAnswer: -116.051018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -3*a**2 - 3*a - 3. Let w be f(-3). Let y = w + 19. Is 1 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3664790417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:32 AM and 6:51 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 - -5428380139859?\nAnswer: 5428380139858.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n + 4. Let l be a(3). Let i = l - 12. Suppose 0 = d + t - i, 3*d - 4*t + 4 = 4*d. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 7*k**3 - 2*k**2 + 1. Let q be y(1). Let l = q + 9. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*n + 2*p + 3*p + 23, -4*p - 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 120680815 - 120680815 - 2*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*m = 503 - 782 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-2*sqrt(91))\/sqrt(7).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) 5\/162 (c) 12819\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129, 123, 115, 105, 93, 79?\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4409.776 millilitres in litres?\nAnswer: 4.409776","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (81\/(-12))\/((-177)\/944). Solve 2*v + l = 11*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, t: 2}. Give prob of picking 1 t and 1 s.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*x**3 + 14 + 3 - 17.\nAnswer: -174*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 909*x**3 - 4*x**2 - 4. Let k(t) = 17270*t**3 - 77*t**2 - 77. Give -77*b(w) + 4*k(w).\nAnswer: -913*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.8 - -2. Let b = 15396 + -15396.5. What is the fourth smallest value in b, f, -2\/19, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/2*(-9)\/9. Let n(r) be the first derivative of -17*r**4\/4 - 5*r**2\/2 - 5*r - 88. Is n(z) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (9\/(-3) - -4)*5. Suppose l*t - 3*t = 56. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:39 AM and 1:18 PM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 30.3803429 to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.955992ml?\nAnswer: 0.006955992","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 e when two letters picked without replacement from {e: 1, x: 2, i: 1, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgh when three letters picked without replacement from hghf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1219, 6000, 14361, 26302, 41823, 60924, 83605?\nAnswer: 109866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 6. Let v be (0 - l)\/((-5)\/10). Suppose -2*b + 30 = 4*h - 238, b = v*h + 110. What is the greatest common divisor of b and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l - 15 + 0*l + 7156*l**3 - 9 - 7160*l**3 + 2*l**2 to the form y*l**2 + s*l**3 + t*l + p and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(38) + (sqrt(38) - (sqrt(1368) - 1*sqrt(1368))))*3)\/((1*sqrt(4)*-6)\/((sqrt(96)\/sqrt(4))\/sqrt(12))).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7048125 is divided by 251?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65619.\nAnswer: 3, 23, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 179 - 56. Suppose -j = 4*u - 43. List the prime factors of -3 - (u - (-8)\/(-4)).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -72*g - 32. Let h be v(9). Let q = h - -676. Sort 2, 0, q in increasing order.\nAnswer: q, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 5, 3, -1, -11 in decreasing order.\nAnswer: 5, 3, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 10) in base 14?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1226 is divided by 95?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24047 + -13178. What is the thousands digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/16*(6624\/(-108))\/23.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 3*h - 125 = 0, -3*j - 2*j = 5*h - 165. Calculate the remainder when j is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*j - 5. Suppose 14*v = 17*v + 63. Let a = v - -23. Solve -11 = -5*f - 4*b, j = -f - 2*b + a for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2850639, -2850638, -2850635, -2850630, -2850623?\n\"Answer: v**2 - 2*v - 2850638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*d**2 - 4*d**4 - 6*d**4 + 1 + 126*d**3 - 128*d**3 + d as y*d**4 + c*d + h*d**2 + o + r*d**3 and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + j + 112. Let t be f(0). Calculate the highest common factor of t and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*i + 40*i - 30*i**3 + 31*i**2 - 82*i wrt i?\nAnswer: -180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87 and 1275.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + -25. Suppose 5*d = 5*h - 10, d = -9*h + 4*h - 2. Factor h + 1\/3*f**4 + 1\/3*f + f**a + f**2.\nAnswer: f*(f + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -14 + 3\/1. Let a be (h - -7)*16*2. What is the units digit of -3 - (1 - a\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12662\/4)\/(34\/68) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*2*((-4)\/5)\/((-17586)\/(-4885))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 4, -2, 1, 19, 389, -31 in increasing order.\nAnswer: -31, -7, -2, 1, 4, 19, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o**5 + 6681*o**4 - 2*o**2 + 10*o - 12910?\nAnswer: 20*o**3 + 80172*o**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 3267, 3618, 4259, 5238, 6603, 8402?\n\"Answer: 8*t**3 + 97*t**2 + 4*t + 3158","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -12. Calculate the least common multiple of i and 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the first derivative of -w**2 - 5*w + 74. Let j(r) be the first derivative of -21*r - 9\/2*r**2 + 1. What is 5*j(t) - 21*q(t)?\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-2)\/8*8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - z - 7, u + 6 = 52*z - 56*z. Let j = 28.2 - 29.9. Which is smaller: j or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -4*o - 3*j, 0*j - 229 = 5*o - j. Let x = o - 36. Let g = -57 - x. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i - 151. Let c be 7\/49 - (-4)\/(-28). Let o be j(c). Let b = 278 + o. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 b when three letters picked without replacement from {c: 1, h: 1, q: 5, b: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 38813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 701877702?\nAnswer: 2, 3, 2909, 40213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 7*p + 23 = -3*p, -5*x + 3*p - 10 = 0. Let o = x + -4. Let a = -81 - -85. Is o greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32 - -32) + 13 + -1 - (-30 - -85)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -186*z - 60 wrt z.\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000305 rounded to five dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -204 - -211. Let p(w) = 65*w**2 + 36. Is p(m) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g + 3*g - g)*(-1 + 123 + 23 + 92) in the form t + c*g and give c.\nAnswer: 237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 8.00052. What is w rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 233 - -33?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*h - 655 = -3*d, 94 - 173 = -d + 4*h for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*sqrt(240)*2 - sqrt(240) - sqrt(240)))\/(sqrt(768) + (sqrt(768) - (sqrt(768) + sqrt(768)*3)) + (sqrt(24)*2)\/sqrt(2)).\nAnswer: 24*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8640) - -1*2*sqrt(8640)) + sqrt(8640))\/((2*sqrt(84)*-4)\/sqrt(7)).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5 = 1. Suppose -b*g = -7*g. Solve g = n + n - 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 11) to base 15.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(144)\/sqrt(3) + (sqrt(300)*2 - sqrt(300)) + sqrt(300).\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/3 - 6134002*h\/3 + 9406495134001\/3.\nAnswer: (h - 3067001)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5741 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*d = -76*d + 78. Solve 22 - 28 = d*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z - 2*p + 6, 5*p = 5*z + 30. Let b be (0*(-2)\/6)\/z. Differentiate -m + 3 + b + 0 wrt m.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131184 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 95236691?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.07 - -0.93. Let j be -2*(-4)\/((-24)\/15). What is the third biggest value in 3\/2, q, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1202*g**2 - 2*g - 841 wrt g?\nAnswer: -2404","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23*c**4*m + 5*c**4 - 8*c*m + 23*c wrt c.\nAnswer: -276*c**2*m + 60*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7077.26um?\nAnswer: 0.00707726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 62 = c. Let x = 92 + c. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126482 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*i - 3065 = 526 - 567 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -112685 = -4*q + 7*g, q = 4*q + 3*g - 84522. What are the prime factors of q?\nAnswer: 3, 9391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q - 12*d - 118*d - 778 + 2468 = 0, -2*d + 26 = q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*b**2*z**3 + 24*b**2*z**2 - 6*b**2*z - 3*b**2 + 19866*b*z**3 + 3*b wrt b.\nAnswer: -14*z**3 + 48*z**2 - 12*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -352a + -aa?\nAnswer: -35d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -9*f + 72. Suppose 9 = -6*a - f. Let b be (1\/a)\/(-2 + (-46)\/(-30)). What is the nearest to 0 in 5, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-14) - 0)\/(-2).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -110*p + 1087 - 317. Let r be 2\/((2 + -3)\/(-1)). Let s be ((-4)\/(-5) + -1)*r. Sort s, 0, p.\nAnswer: s, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*f + 63 = 8*f. Let k = 23 + f. Solve b = -k*b + 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*w + 20 = 2. Solve 5*f - 2*b = -w*b - 10, -8 = 4*f - 5*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 346454420?\nAnswer: 2, 5, 13, 1332517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2890 is divided by 58.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ljijiij. What is prob of picking 2 i?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.1, 8, 0.4 in ascending order.\nAnswer: -5, 0.1, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11186, 11086, 10990, 10898, 10810, 10726, 10646?\nAnswer: 10570","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14331 and 3417?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18772.43 days to minutes.\nAnswer: 27032299.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of -5*n**8\/48 + n**4\/12 - 821*n**3\/6 - 951*n**2. What is the second derivative of j(c) wrt c?\nAnswer: -700*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 1109258800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + (-2 - 17) + (-3 - 28).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 107512275 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1716928693 - -3?\nAnswer: -1716928690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + k - 5*k - 6244 = 0, -2*j + 3118 = 2*k. What is the units digit of j\/(-36)*24\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1*2)\/(12\/42). Let d(t) = 3*t**2 - s*t**2 + 2*t**2. Let n(j) be the first derivative of -j**2\/2 + 1. Calculate n(d(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)\/(y\/(y**(-5)\/y)))**35 assuming y is positive.\nAnswer: y**(-455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iilllciicliliiilil. What is prob of sequence ilci?\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -4*i + 5159, 0 = -i - 5*t + t + 1280. Suppose 436 = -4*r + i. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 - 3*p**4 + 4*p**4 + p**4 - p**4 - p**4 + (-1 - 2 + 1)*(2*p**4 + 0*p + 0*p) - 2*p**4 - 2*p**3 + 2*p**3 + 176703*p**3 + 431*p**4 - 176703*p**3.\nAnswer: 426*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2*v = -0*z + 5*z, -4*v + 4 = -7*v - 8 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -702*g - 4*c = -704*g - 18, 4*g + 2*c = 14 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -959*r**3 + r. Give y(1).\nAnswer: -958","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 1\/2, 152330?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2521 + 3231 = 8*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 387\/5418*(-70)\/(-6).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 107, 0.1, -2, 2, 118.9 in decreasing order.\nAnswer: 118.9, 107, 2, 0.1, -0.3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*c + 78*c = -9. Suppose 5*v = z - 44, -c*z + 5*z - 121 = -v. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 883, 1736, 2593, 3454?\n\"Answer: 2*g**2 + 847*g + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d - 8. Let u be p(-6). Let y be (168\/(-18))\/(u\/(-6)). Suppose -m - 2*g = 2*g - y, 86 = 5*m + 4*g. What is the highest common divisor of m and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the third derivative of r**6\/24 - r**4\/12 - r**3\/3 - 6914*r**2. Calculate w(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 502 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q + 6. Determine i(-8).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1\/7, -2, -3, 150540 in ascending order.\nAnswer: -3, -2, -1\/7, -0.1, 150540","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 138218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 3*x**2 - 4*x + 3. Let n = -1306 + 1308. Give f(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26509 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of -h**2\/2 - 5600000*h + 1. Let o be (-1 - -1)\/(3 - 1). Let x be q(o). Round x to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -32. Let a be (-3 + 3)\/(2*v\/2). Solve 0 = b + 3 - a for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**2 + 2 - 2 + (-3 - 24*f - 15 + 22)*(-7*f + 2*f + 3*f) to d + b*f + m*f**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -20. Suppose 44*a - 29*a = 47*a + 8*a. Solve 3*h = y - a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 4*x - 4*l, 3*x + 2*x - l - 15 = 0. Solve 1 + x = -2*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 15, 6, -30, 2070?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 u when two letters picked without replacement from {h: 1, t: 2, d: 2, j: 1, u: 2}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dcfdc. What is prob of picking 1 f and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(500))**2 - sqrt(5)) + -5 + 1.\nAnswer: 19*sqrt(5) + 497","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 268?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from {d: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyyy. What is prob of picking 2 y?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k**5 + 5735*k**4\/2 - 1440*k**3 - 5735*k**2\/2 + 1435*k = 0. Calculate k.\nAnswer: -574, -1, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 71\nAnswer: 3\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -292\/43?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 - -3. Find the third derivative of 3*i**x - 4*i**4 + 2*i**4 - 5*i**2 wrt i.\nAnswer: -48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/4*12\/15)\/((-249)\/23655). What is the highest common divisor of 4579 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -0.1, 0.2, 0.3, 42?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 2*x**2 + 471*x - 471*x in the form f + u*x + q*x**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g + 3*g)*(-303 - 31 - 125) + (2 - 6 + 0)*(4*g - 2*g - 4*g) + (-g - g + 0*g)*(-2 + 5 - 2) + 3*g - 3*g - 2*g + 0*g + 2*g - 4*g.\nAnswer: -916*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28709 - -0.3.\nAnswer: -28708.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 1853471739?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 555 + t**2 + 536.\nAnswer: t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 5*z + 10*z + 5 = 0, 3*l - 4*z = -10. Find the common denominator of -27\/10 and 106\/l*15\/(-54).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40692 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.506 + -10.04?\nAnswer: -9.534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -42, -101, -150, -183, -194?\n\"Answer: d**3 - d**2 - 63*d + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 12:42 PM?\nAnswer: 4:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z - 41 = -83. Let o = -6 + 4. Put 1, o, z in increasing order.\nAnswer: o, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37311 to the power of 1\/2, to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 21 + -16. Let a = 7 - d. What is the derivative of 114*c**2 - 15 - 109*c**a + 5 wrt c?\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y = 18 + 213. What is the remainder when 80 is divided by y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/18 + ((-164)\/(-18) - 0). Let u = 8 + -5. Which is the closest to 1? (a) x (b) -2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g - 6. Let v be q(-10). Suppose t - 4*z = -0*z + 7, -4*z = 2*t - v. Solve 3*o = -4*p + t, 5*o = 3*p + 2*o for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 4 - 7063*y**3 + 2 + 4.\nAnswer: -7063*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 23. Let y(i) = 78*i**2 - 2*i. Let z be y(q). Suppose -z + 81 = -5*f. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -20, -6, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 92441 - 272587\/3. Let y = u - 1603. Calculate the common denominator of y and 2\/(-1)*214\/(-24).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*j - 3*j - 4*j - j + 0*j - j + (-2*j + 4*j + 0*j)*(2 - 3 - 1) + 55*j - 843 + 843 in the form i*j + b and give i.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 79448729 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wprf when four letters picked without replacement from {p: 1, c: 1, w: 4, f: 1, r: 3, x: 2}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1067*o**4*y - 23*o**4 + 12041*y with respect to o.\nAnswer: -4268*o**3*y - 92*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -6*j + 13. Let y be h(3). What are the prime factors of (y - -4)*-5 + 146?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139921 is divided by 65.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 149027159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4\/213 + -2623\/213. Let o be (45\/(-10) + 3)\/(6\/7432). Let l = 3789\/2 + o. Calculate the common denominator of l and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.4559494 to three dps.\nAnswer: -0.456","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 168*w = -27*w + 558 + 861 + 1116 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 147.8 - 219.9. Let s = -72 - l. What is the second smallest value in 5, s, -3\/7, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 29217 + -29154. Calculate the least common multiple of o and 539.\nAnswer: 4851","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 53 - 41. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 2*r + 9 = -7*r, -2*r = 2. Let h(d) = -d**3 - 2*d**2 - 3*d. Let t be h(-2). Suppose 0 = t*m - m. Solve m*g - g - u = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*r + 5*r + 383 + 3*r - 58 - 9*r in the form c + a*r and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -2*v + 9. Let a be s(0). Let r be 7 + a\/(-3) + 6. Calculate the greatest common factor of 45 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -223 - -233. Suppose 5*g = 26 - 6. Calculate the remainder when a is divided by (-1)\/(-4) + 23\/g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2))**(-34)\/(o**(1\/3))**(-2\/117) assuming o is positive.\nAnswer: o**(11936\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/27, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2643*7.\nAnswer: 1.8501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/11? (a) -11\/6 (b) -5\/3 (c) -1\/6 (d) 374 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*p = 4, 3 = -2*g - 2*p + p. Let r(i) be the third derivative of -i**4\/24 - 12*i**2. Let u(x) = -3*x + 2. What is g*u(b) + 5*r(b)?\nAnswer: -2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.51 + -0.5. Suppose 0 = 38*j - 39*j - 1. Is b less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/12 + 5 + -3.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (195\/(-99) - -2)*21043\/(-3826).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -251225 (base 10) to base 15.\nAnswer: -4e685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.358 times 0.2?\nAnswer: 0.0716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (65 - 61 + 233)*(2*q**2 + 4*q**2 - 3 - 3*q**2)*(-3 + 3 - 2) to the form f + m*q**2 + r*q and give f.\nAnswer: 1422","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 3*t + 4, 2 = -4*t + 5*t. What is the units digit of -4*(-2*x + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1248*h**2*r**2 + 15*h*r + 5*r**2 + 13*r wrt h.\nAnswer: 2496*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/9, 8, -87, -1087?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 5*u + 3*s - 4, 2*u - 3*s = 17 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = -q - 5*c, 4*c = 3*q - 400 - 650. Suppose -l = -4*h + l + q, l + 353 = 4*h. Calculate the remainder when h is divided by 26 - (-1 - -5) - -1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*o - 50*o = -4*z + 1460, 3*z - 2187 = 3*o. Is -2\/3 greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65885, -133165, -200455, -267761, -335089, -402445, -469835, -537265?\nAnswer: -604741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5864000 rounded to the nearest one million?\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5, o: 1, v: 1, e: 4}. What is prob of picking 2 e?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2 + 19 = -z, 9 = -3*o. Let k be (z\/(-4))\/((-7)\/(-98)). Suppose 0 = -2*r + 3*p + k, 0 = r + 3*r - 4*p - 12. Is r less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 78932248?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 2222 = 872. Suppose 159 - 44 = s. Let d = y - s. What are the prime factors of d?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 7*p**4 - 575*p**3 + 5539*p - 47451556 wrt p?\nAnswer: 28*p**3 - 1725*p**2 + 5539","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from ftftaaafaafaf?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 451 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -71*h**6\/30 + h**4\/24 + 55*h**3\/6 + 15*h**2 + 2*h. Find the second derivative of p(c) wrt c.\nAnswer: -1704*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1522 (base 7) in base 16?\nAnswer: 25c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s + 4625 = 685. List the prime factors of s.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 1296 = -14*x. Is 26 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 25 = 4*w + 3*i, 4*w - 3*i = -15. Solve 0 = -2*y - w*y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -161 + 161. Suppose -7*x + 119 = -s*x. Solve 3*f - 4*r = -0*f - 27, -f - x = -4*r for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (20 - 5177\/93)\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-21 + 15 + -8)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8707596.33139119698 + 8266686007.66860993302. Let u = 8275393497 - w. Let z = -107 - u. What is z rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -221 in -0.017, 0, 0.6, 0.3?\nAnswer: -0.017","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 441 - -0.793113.\nAnswer: 441.793113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 4. Suppose -8*j - 24 = -56. Let b(f) = f - 3. Give j*b(i) + 3*r(i).\nAnswer: i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -133*j - 16. Suppose 0 = 9*h - 7*h - 3*w + 15, 0 = 4*h + w + 65. What is the hundreds digit of g(h)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2 + 20*i + 13. Let d be a(14). Suppose 0 = 6*h - 5*h - d. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v = -175 - 137. Let h = v + 67. What is the third derivative of -104*s**2 + 73*s**2 + h*s**6 + 2*s - 2*s wrt s?\nAnswer: 1800*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(1\/25))\/y*y\/(y\/(y**(3\/11)*y)))\/(y**(5\/2)*y**10) assuming y is positive.\nAnswer: y**(-6153\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2421 + 2425. Put n, -2\/7, -1, 1\/4, -0.15 in descending order.\nAnswer: n, 1\/4, -0.15, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 19195.\nAnswer: 19195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 1.121*3.8\nAnswer: 4.2598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -33, -77, -139?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 33 + 63. Let y(o) = -o**3 - 6*o**2 + 7*o + 4. Let t be y(-7). Suppose -5*k - 141 = t*u, -2*k - 34 = -4*u - 0*u. Are i and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 18*x + 1. Let v be t(6). Let i = -19 + v. Suppose 5*n = 40 + i. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 125496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.4, 0.24, 5, -3\/2, -18, 0.7, -3373?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - 0. Let t = 3 - n. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -2*n**3 - 6*n - 6. Suppose -5*p + 39 = -36. Let t(c) = 6*c**3 + 4*c**2 - 4*c**2 + 17 + 2*c + p*c. Calculate 17*h(k) + 6*t(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -23*d**3 + 2*d + 1. Let u be v(-1). Suppose -3*w - 3*l = -l - 14, -5*w - 3*l = -u. What is the tens digit of (-1)\/((-6)\/81)*w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -6. Suppose 5*d + h = -h + 85, -i*d + 75 = 4*h. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 60*r + 17. Let i be w(-13). Let u be (-19)\/(133\/i) + (0 - -1). Let c = u - -165. What is the highest common divisor of 8 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67895 + 2398 - 14834 = 1789*z for z.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -49*t + 50*t - 206. Let f = -209 + t. Sort -5, 4, f in increasing order.\nAnswer: -5, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.2 - 2. Let x = 3.3 - 3. Let i = x + 0.2. Which is the closest to 2\/3? (a) -1\/5 (b) w (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -58*q**2. Let v(i) = 1041940*i. Give m(v(c)).\nAnswer: -62967059888800*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1557028625 from 3.1.\nAnswer: -1557028621.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 45 + 9*c**2)*(0 + 0 - 3).\nAnswer: -27*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + -5*(-1*(sqrt(567) - (sqrt(567) - -1*(0 + sqrt(567)))) + -2*(-4 + sqrt(567) + 1*sqrt(567))))**2.\nAnswer: -18900*sqrt(7) + 257600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w**2 + 36*w - 66. What is g(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -22401022 (base 6) in base 8?\nAnswer: -2470746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19565591 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 60\/4921 and 23\/32116?\nAnswer: 610204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119055 + 119055 - 10*g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a millennium in months?\nAnswer: 13200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20\/14*(-12)\/(-192)*-16\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -2*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5673408 a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - 7. Let x = 27.9992 + r. Round x to 3 decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1244826383 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1619892?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-20) + (-2)\/8. Let w = f + 8. Let y(n) = -n**3 + 12*n**2 - 12*n + 3. Is y(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14133*w**2 + 81*w + 77.\nAnswer: 28266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a**4\/2 + 487*a**3 + 1161*a**2\/2 - 858*a - 214 = 0 for a.\nAnswer: -107, -2, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 182, 353, 502, 623, 710, 757, 758, 707?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12220962?\nAnswer: 2, 3, 13, 156679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 441201 to the power of 1\/2, to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3495.79 decades?\nAnswer: 34957.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -582 + 587. Suppose -5 = -v - 4. Suppose j = -v + 16. Solve 0 = 3*z + 2*t + t - j, n*z + 20 = 4*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3.3. Let d = 0 - z. Let v(m) = -m**3 - 3*m**2 + 5*m. Let y be v(-4). Which is the second smallest value? (a) d (b) y (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 + x**2 - 2*x. Let b be -3*((-24)\/(-9) - 2). Let y be (1 - 2)\/(b\/(-4)). What is l(y)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -134 - -136. Is 22 a factor of (14\/6 - d) + 5460\/117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20059, -20066, -20073, -20080, -20087?\nAnswer: -20094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*r + 94*r**3 + 2*r - 39*r**2 - 52*r**3 wrt r?\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, z: 1, i: 3, l: 2, j: 6}. What is prob of sequence zit?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(8\/(-4)) + -4. Let a be (u - 4\/(-1))\/(-1). Solve -3*d + 5*x = 6, a*x + 4*x = -d + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5 + 16*x - 28*x + 9. Let q be t(-19). Suppose 7*l - 2047 - q = 0. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3074660329.\nAnswer: 13, 79, 2993827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*l + 61 = 394*d - 392*d, -3*d = -5*l + 31 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4344*w**4 + 762 + 3*w**2 - 8698*w**4 + 4355*w**4 to q*w**2 + b*w + x*w**3 + o + a*w**4 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 7)\/((-270)\/(-20)). Suppose -3*z - q = 2, -2*q + 0*q + 3 = -z. Which is greater: z or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 3, 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 13*h**4\/3 - 19*h**3\/3 + 43*h**2\/2 + 23*h - 1. Is p(-19) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50 + 14. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 41*j - 397. List the prime factors of g(50).\nAnswer: 3, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-32)\/((-6)\/3) + 0. Suppose 6*c - 2*c = -z. Let d(j) = -j**3 - 3*j**2 + 4*j - 5. Let y be d(c). Sort y, 4, 0 in decreasing order.\nAnswer: 4, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3372)\/(-1967))\/((-3)\/(-42))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 5*z + 5*z. Suppose 4 = 4*n - 2*n. Let k(s) = 12*s + 27. Let c(l) = l + 2. Let j(y) = n*k(y) - 27*c(y). Calculate j(i(b)).\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((25 - 14)\/(-33))\/(6 - 175\/21). Factor 0 - 1\/7*p**2 + h*p.\nAnswer: -p*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*q - 20*q - 1610. Is 34 a factor of q\/(-8) - 6\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.83 - 0.17. Let r = 5.1455 - 0.1455. Which is the closest to h? (a) 4 (b) 3\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 4) to base 15.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2711455?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -0.1. Let o = 0 + k. Let c = -2 - -1.9. What is the third smallest value in o, -2\/7, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (1 + (-10017)\/(-18))*3\/150\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lww when three letters picked without replacement from {l: 3, w: 2, q: 1, r: 4}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 541.\nAnswer: 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (0 - (-10 + 27 - 8 - 13))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 6)*(2 - 4 + 4) - 3 - 2 + 4)*(2*x + x - 4*x + 2*x + 0*x - 3*x + (0 - 3 + 1)*(-2*x - 3 + 3)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-757)\/151 - (104 + -108) - -2*4\/8\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 49 + 0\/((-2)\/(-1)). Let l be q - (9\/(-3) - -1). Does 14 divide (0 - l)*(-2)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78131?\nAnswer: 23, 43, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1006 divide 16020550?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**4 + 0*u**3 + 0*u**2 + 0*u - 3 + 6\/5*u**5. Determine v so that i(v) = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.71 + 0.01. Let d = s - -0.2. Which is the closest to 0? (a) -2\/11 (b) 1\/3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0.07, 26, -1\/3, 3\/4, -1\/7 in descending order.\nAnswer: 26, 5, 3\/4, 0.07, -1\/7, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 43*d*l*m**2 + 26*d*l + d*m - 2*d - 3*l*m**2 wrt m.\nAnswer: 86*d*l - 6*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/4 + (-225)\/(-20). Let l = 41 - o. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = 4*f - 6, -4*f + 4*w = 8. Solve h - 1 = -f for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 + 284685.499?\nAnswer: 284469.499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -96 (b) 3\/2 (c) -494 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -60 times 22.049\nAnswer: -1322.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 252\/989 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, f: 2, q: 2}. What is prob of sequence fq?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36\/(-24)*(-60)\/(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -7*d + 21. Let p be (3\/6 - 1)*(-1 + -5). Let r be i(p). Solve -3*k = -c - 13, -3*c - k + 5 + 6 = r for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 235, 1881, 3527, 5173, 6819, 8465?\n\"Answer: 1646*g - 1411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*l - 70, -b - 108 = 2*b + 5*l. Let p = 45 + b. Suppose p*m - 6*m + 22 = 0. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75135655 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - (23 - 15)) + 15\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1858, 204, 3644, 8468, 14682, 22292, 31304?\nAnswer: 41724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2266 and 63205450.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 72845?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 89 - 89.0000531. Round t to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2.1, -2\/5, -5\/2, -2\/53, -3, -34, 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-272)\/(-612)*-1*((-10)\/4)\/5.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 6:18 PM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**3 + b + 1. Suppose 12 = -j + 2. Let d be (12\/j)\/(14\/(-35)). Let f be (-3 - -8) + d\/(-1). Let v(n) = 9*n**3 + 3*n + 2. Calculate f*v(w) - 5*h(w).\nAnswer: -2*w**3 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/87312 and 101\/6.\nAnswer: 87312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -23204535?\nAnswer: 23204542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -56. Suppose 2*l + 5*y - 86599975 = 0, -h*l + 5*y = 7828815 - 137728840. What is l rounded to the nearest 1000000?\nAnswer: 43000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 16 = -18*x + 21*x, 4*d = 2*x + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 4*i - 56 = 0, 0 = m + m - 4*i + 18. Let w = -21 - m. Sort w, -1, 1 in descending order.\nAnswer: 1, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 203237 (base 8) to base 10.\nAnswer: 67231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 54, 115, 178, 243, 310?\n\"Answer: x**2 + 58*x - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 29 = -5*t. Let z(l) = 5*l**2 + l - 1. Let j(q) = 11*q**2 + 3*q - 2. Determine t*j(a) + 9*z(a).\nAnswer: a**2 - 3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 5:10 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -57 + 62. Suppose 0 = -2*a + 8, -a + 6*a + 80 = p*r. Solve -7*s + 3*s = -r for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**3 - 121230*s**2 + 731063100*s + 45793111960.\nAnswer: 5*(s - 12154)**2*(s + 62)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 55\/2 (b) 2 (c) -0.4 (d) -159\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15494?\nAnswer: 2, 61, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*u\/(u\/(u\/((u**1*u)\/u))*u)*u**(-3))**(-1\/41)\/((u*u**(-1\/2)\/u*u)**(-2\/23)*(u**(-1)\/u)\/(u*(u*u**(-1\/8))\/u)) assuming u is positive.\nAnswer: u**(22385\/7544)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -1 - 2)*0. Suppose 4*m = 299 + 653. Let y = -229 + m. Solve j*f = 3*f - y for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 0.04, -0.043, 2 in decreasing order.\nAnswer: 2, 1\/4, 0.04, -0.043","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/273375 and 68\/405.\nAnswer: 273375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -805.8847 to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.5491999 and -1456.04.\nAnswer: -1455.4908001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55319 is divided by 13827?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s. Let q(g) = 607454919*g. Give m(q(i)).\nAnswer: -2429819676*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25919733*l**3 - 41013*l**2 - 52*l wrt l.\nAnswer: 155518398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 283613097?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (6 + (4 - 6) - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**5\/8 + 15*t**4\/8 - 9*t**3\/4 - 33*t**2\/4 + 111*t\/8 - 45\/8.\nAnswer: 3*(t - 1)**3*(t + 3)*(t + 5)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 1029919629?\nAnswer: 1029919618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Round -1.0954535 to 2 decimal places.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -5 + (13 - 4) - 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -971619, -3889522, -8752693, -15561132?\nAnswer: -24314839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 - 2 + 0)*(-1 - 2*o + 1) - 3*o + o + o - 3*o - o + o)*(o - 5*o**4 - o).\nAnswer: 10*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -150, -140, 32, 366, 862, 1520?\n\"Answer: 81*i**2 - 233*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 67 + -63. Suppose -1730 = -c - p, -d*c = -9*c + 3*p + 8674. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t + 3. Let p be 5\/(-4 + 19)*-12. Find the common denominator of j(p) and 1\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 - 8*n**2 + n - 10. Suppose -37 - 3 = 5*a. Let m be d(a). What is the units digit of (m\/4)\/3*-6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqs when four letters picked without replacement from {q: 4, s: 4, p: 3}.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 11*l**2 + 15*l + 8. What is the tens digit of c(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5447 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -10*g**2 - 3714 + 7423 + g - 3713 + 8*g**2. Give l(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*n - 2*n - 486, 4*n + 5*o - 990 = 0. What are the prime factors of n?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 9:05 AM?\nAnswer: 8:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.51785 and -0.1182.\nAnswer: 0.39965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*t - 15*t - 344 = -13784. What is the greatest common factor of t and 704?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 PM and 5:07 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99\/396 + (-129)\/(-12).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = -2*z. Suppose 4*b - z*b + 2 = 0. Let k(p) = -p**3 - p**2 - 4*p - 3. What are the prime factors of k(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 10:04 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (0 - (-28)\/(-7)) + 793 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 76\/(-28) + (-4)\/14. Let i = s + 4. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*6*-2*sqrt(143))\/(6*6*(3*sqrt(539) + sqrt(539))).\nAnswer: -5*sqrt(13)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 11:50 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 9*k**2 + 10*k - 4. Suppose 40 = y - 5*y. Let t be w(y). Let m be 62\/(-124)*0\/(0 + -1). Put t, m, 5 in decreasing order.\nAnswer: 5, m, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/325 and -63\/130.\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 54518*l**3 + 742889509*l**2 + 4458809148*l + 6688949796.\nAnswer: (l - 27262)**2*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6941342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1989.4? (a) -0.4 (b) 0.1 (c) 3\/5 (d) 163\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -108\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 w when three letters picked without replacement from fyyyfwfffyffy.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 682749 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(605)*3 + 4*(sqrt(605) - (sqrt(605) + -1*sqrt(605)) - sqrt(605)) + 3*sqrt(605) + 5 + -6*sqrt(605)*-3)**2*4.\nAnswer: 10560*sqrt(5) + 1394020","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1592.2402 - -0.2402. Let u = -1592.001999 - v. What is u rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*w**3 - 10*w + 3 - 59*w**3 + 1.\nAnswer: -95*w**3 - 10*w + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*s**4 + 3 - 3 + (1046 - 2028 + 1102)*(s**4 - 2*s**4 + 0*s**4).\nAnswer: -118*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/18 and (-498)\/756 + -2 + (-15)\/(-10).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (294\/49)\/((-6)\/4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*u**3 - 9*u**3 + 5*u**2 + 4*u**3 wrt u.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttti when four letters picked without replacement from ttiihithitht.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*h, -3*i + 2*h - 3*h + 30415 = 0. Suppose -3161 = 8*m - i. What are the prime factors of m?\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 301575673.\nAnswer: 7, 43082239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = -3*v - 29*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -30 - -6346?\nAnswer: 6316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 492.60064 - -0.09936. Let t = 493 - y. Let c = -1 - 15. What is the smallest value in c, t, 3\/7?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-9)\/(-15)*500\/5 is divided by 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -412 - -692. Calculate the greatest common divisor of h and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -0.95048.\nAnswer: 2.04952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3*s - 3*s - 5*s. Let m(w) be the third derivative of -3*w**5\/20 - 137*w**2 + 7*w - 1. Determine m(r(y)).\nAnswer: -1089*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14406 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {g: 7, a: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.012 + -0.0065. Let x = -0.0085 - o. What is the nearest to 3 in x, 5, -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2861495220?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 210, 226, 270, 354, 490, 690, 966, 1330?\n\"Answer: 2*n**3 + 2*n**2 - 4*n + 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7383717*s**4 + 2*s**3 - s**2 + 152377 wrt s.\nAnswer: -177209208*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -k**2 - 4*k + 2. Let m be j(-4). Solve n + 5*h = -m*n - 10, 3*h + 5 = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*r - 5*r - 13026600 = 0. What is r rounded to the nearest ten thousand?\nAnswer: 1450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.11 and 1067.\nAnswer: -117.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 11:57 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145*x**5\/8 - 108*x**4 + 299*x**3\/2 + 411*x**2\/4 - 1051*x\/8 + 21\/4 = 0. What is x?\nAnswer: -7, -1, 6\/145, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/144 - 1\/(-4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 + 13*m + 6. Let o be g(-13). Solve o = -2*d - 4, -17 = -3*w + 4*d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(153)*-2)**2 + 4 + sqrt(153) + (sqrt(153)*1)**2)*4.\nAnswer: 12*sqrt(17) + 7972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 13 = -5*w, -6*w + 2*w - 3*k = 17. Suppose b - 8 = 5*b. Is w\/b*(215 - 4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28)\/sqrt(2)*-6 - sqrt(14))\/(sqrt(56)\/(-5*sqrt(8))).\nAnswer: 35*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 19466, -2, 3 in descending order.\nAnswer: 19466, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eeyh when four letters picked without replacement from eaayyeehyeeeyeyeeay?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 48804 divided by 249\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/41328 and 113\/64944?\nAnswer: 454608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*d - 9. Suppose 0 = -4*g + 8, 70 = 4*f + d*g - 6*g. What is the third derivative of f*v**2 + 12*v**5 - 10*v**2 + 20*v**2 + 13*v**5 wrt v?\nAnswer: 1500*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.42 - -0.42. Let y = 399 + -399.1. Sort -0.5, -1\/25, y, j in increasing order.\nAnswer: j, -0.5, y, -1\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 44 = -4*a + 5*w, 5*a - 2*w = 96. Solve -4*n - a = -2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**5 + 0*g**5 + 0*g**5 + 24*g**5 - 2*g**5 - 11*g**5 + (-g**5 + g**5 + 3*g**5)*(10 + 7 - 15).\nAnswer: 16*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/84)\/((-12)\/(-14)).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -3*o - 17, -4*h + 3*h - o = 3. Let x be 22 + (-2 - -1) - (-1)\/h. Solve -p - 22 = 4*q, 2 = 5*p + 2*q + x for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 19. Let l(s) = -15*s + 14. Is l(z) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) -3\/20 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 11:53 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the first derivative of w**5\/10 + 9*w**4\/4 + 97*w**3\/6 + 45*w**2 + 50*w + 568. Solve x(i) = 0.\nAnswer: -10, -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 = -3*d, -4*n - d + 33 = 13. Suppose 0 = -n*k - 6 + 18. Is 526\/(-3)*k*(-3)\/6 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -77, -142, -233, -356, -517?\nAnswer: -722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 17*z**2 - 2488*z + 27. Determine w(-42).\nAnswer: 447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + x = -2*a - 4, 3*x = -12 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9374*n**5 + 2*n**2 + 10734*n wrt n.\nAnswer: 562440*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d**5 - 128*d**4\/5 - 952*d**3\/5 - 448*d**2 - 2032*d\/5 - 512\/5 = 0. Calculate d.\nAnswer: -2, -2\/5, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2022001 (base 3) to base 16\nAnswer: 68b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-54)\/(-42) + 1*-1. Let m = -3 - -7. What is the nearest to i in 1, m, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76876887?\nAnswer: 3, 2141, 11969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 11:15 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9316?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 - 22*o + 4. Let f be r(5). Suppose 19*z - 2964 = -f*z. Is z at least as big as 78?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*n = 4166 - 4131. Let 0*b + 0 - 1\/5*b**2 - 1\/5*b**3 + 1\/5*b**n + 1\/5*b**4 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 758 is divided by 167?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-804)\/9 + (80\/15)\/(-8). Calculate the common denominator of (2740\/s)\/(6*4\/(-9)) and 0 - 2 - 146\/(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1272 - 3451 - 24077*a**2 + a + 24079*a**2 to m*a**2 + z + h*a and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 53\/4 of a kilometer?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/39)\/((-28)\/116*22\/(-462))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 484 divide 461433500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 0*r - 12 = 0. Calculate the common denominator of (-55)\/(-9) + 6\/3 and ((-18)\/231)\/(r\/(-56)).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 8:35 AM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 7:05 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.2396 + -633\nAnswer: -633.2396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -3*q - 205 + 207, 4*j - 8 = -4*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00013525417 rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*s + 2183 - 5835 = 0 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 3 + (-10)\/6. Let q be ((-135)\/(-81))\/(1\/(-3)). What is the closest to t in 1, -3, q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 7:08 AM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1005 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -784920, -1569836, -2354754, -3139674, -3924596, -4709520?\nAnswer: -5494446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2370 - 7036\/3. Let t = 22\/21 + -1033\/84. What is the common denominator of t and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 474 is divided by 30?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46471930 to the nearest integer?\nAnswer: 6817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 417614*q - 208775*q - 208939*q.\nAnswer: -100*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 e, and 2 m when four letters picked without replacement from dmmymxe?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19980 and 22200?\nAnswer: 199800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 593949000 to the nearest one million.\nAnswer: 594000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and -1326500473.\nAnswer: -1326500473.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, 0.1, 8, 0.03?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 656411?\nAnswer: 7, 79, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8416526933?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 3. Let k be h(-6). Is -669*k\/9*1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3 - 26*h**2 - 25*h - 2. Let n be m(-25). Let i be ((-1)\/(-2))\/(-3 - n - -2). Factor 0*p + p**2 + i*p**3 + 0.\nAnswer: p**2*(p + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 2, -49*u + 46*u + 5*s = 17 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1494 - 867. Suppose 2*v - 418 = 5*i, -2*v - v + 3*i + g = 0. List the prime factors of v.\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2057) - (2 + sqrt(17) + -4))**2.\nAnswer: -92*sqrt(17) + 8997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 49678, 49686, 49694?\nAnswer: 49702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) 1394 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 256670 * 0.15\nAnswer: 38500.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 1 + 0)*(-4 + f + 4) - f + f + 2*f - f + 7*f - 2*f)*(-7 - 10 + 15) as c*f + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u - 1275*u**3 + 177 - 3*u + 0*u - 177 to the form c*u**2 + x*u**3 + j*u + d and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3696)\/(-440))\/(273\/(-780))?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 26 + -10 + -13 + -22\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2 + 26*r + 169. Let i(q) be the second derivative of 7*q**4\/12 - 26*q**3\/3 - 169*q**2 + 44*q. Let m(o) = -4*i(o) - 9*l(o). Factor m(x).\nAnswer: -(x + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3197384*f**4 - 1258362*f**2 + 2.\nAnswer: -76737216*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**3 + 171*g**2 + 2381*g + 164. Calculate the remainder when c(-68) is divided by (-2)\/9 - (-184)\/18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h**3*i**2 + h**2*i**2 + 3*h**2*i - 1804*h**2 + 18*h + 12390*i**2 wrt h.\nAnswer: 6*h*i**2 + 2*i**2 + 6*i - 3608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -19 - -16f?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -2*v, 0 = t + 5*v - 1 + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 76 and 82522852?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8215 divided by 5?\nAnswer: -1643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*k - 4*k**4 + 19*k - 2 + 11*k + 4*k - 2*k**2 - 6*k in the form o*k**2 + a*k + c + y*k**3 + x*k**4 and give x.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 + -4 + (-16 - (6 + 5 + -19))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -4, 4\/7, 8, -12 in descending order.\nAnswer: 8, 4\/7, 1\/5, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -40 + 5*z - 7*z + 48 + 0*z. Determine g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 71 + -53. What is the least common multiple of p and 2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 + 4*q**2 + 4*q + 9. Let j = 506 - 510. What is m(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of -1\/60*l**6 + 0*l**4 + 0*l + 0 + 0*l**3 - 10*l**2 + 2\/15*l**5. Find the third derivative of x(c) wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -p**3 - 105*p**2 - 2838*p - 21896 = 0?\nAnswer: -68, -23, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -6*i**2 - 23*i - 2. Let p be g(-4). Let o be (-9)\/p*(-16)\/(-24). Solve -f = -0*f + o for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -566?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 632558349 + -632558320.99999912. Let v = -28 + q. What is v rounded to seven dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -421*r**6\/10 + 71*r**4\/24 + 29*r**3\/6 - 15*r**2 + 58*r. Find the second derivative of d(b) wrt b.\nAnswer: -30312*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 PM and 2:38 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 112923101.\nAnswer: 2441, 46261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 2*z - 3 = 3, 5*h = z - 8 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*f**2 + 8*f - 8*f)*(-f + 4*f + 0*f)*(3 + 2 - 4*f + f) to the form i*f**2 + h + a*f**4 + l*f + p*f**3 and give p.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/2 of a litre?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5539 - 5539 - 345*z**2.\nAnswer: -345*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1782?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5 - 373*x**2 + 122*x - 7 - 123*x wrt x?\nAnswer: -746","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -35631 or 17\/2?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*w - 3*w. Suppose w = -s - 2*s. Is 5710\/40 - 1\/s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2*(-4)\/(-16))\/4. What is the nearest to 0.1 in -0.06, 0, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13622 divided by -2?\nAnswer: -6811","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -24 (b) -0.2 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -76173.3 or -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3561, 6405 in descending order.\nAnswer: 6405, 3561, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11202?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - -11.08. Let h = -73 - -72.7. Put s, 1, h in increasing order.\nAnswer: h, s, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from spsppjppppsjppjs. Give prob of sequence js.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42148 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*c*f**3 - 101*c*f**2 + 10*c*f + 16*c - 3*f**3 - 23*f**2 - 34*f - 3 wrt f.\nAnswer: -60*c*f - 202*c - 18*f - 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 3*d - 47. Let a = -31 + d. Let k be a\/1 - (0 + 1). Let h(w) = w**2 - w + 5. Calculate h(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/175 and 58\/305.\nAnswer: 10675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*k - 119*k = -55*k - 683168. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9320473, 9320481, 9320489, 9320497, 9320505, 9320513?\n\"Answer: 8*w + 9320465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/12 and (102\/(-18) + 5)*87\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 2, r: 1, i: 3}. What is prob of sequence ar?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2255644*c**2*o*s**3 - 2*c**2*o*s + 2*c*o - 114*c*s**3 + 6986*c wrt c.\nAnswer: 4511288*o*s**3 - 4*o*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 9:36 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5318 + 37597. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*n = -401, -43 = -h - 2*n + 40. Let q be ((-1260)\/h)\/((-10)\/45). Which is greater: q or 68?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/5*(-1)\/104*-4?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 220*w - 653*w + 210*w + 216*w. Let m(q) = q - 3 + 5 + 52*q + 8*q. What is x(m(b))?\nAnswer: -427*b - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((12\/99)\/((-2)\/18))\/(-2)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1954776 a multiple of 632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/6 and 55\/32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 28*c**2 - 77*c + 426. Calculate m(26).\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of 2*v**3 + 3\/2*v**2 + 0 - 3*v - 1\/20*v**5 + 0*v**4. Is p(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 1 - 16, -3*u = -2*h - 17. Let o = 319 + -315. Let t = -1 - 1. Which is the nearest to h? (a) t (b) o (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -4*n - 7. Let x(i) = 7*i - 1. Let d(m) = m - 1. Let s(u) = 5*d(u) - x(u). What is 4*o(v) - 7*s(v)?\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.87222 to 2 dps.\nAnswer: 5.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 - 2*a**2 + 7*a - 1. Let p be w(-4). Suppose o - p*f = f - 24, 2*o + f + 3 = 0. What are the prime factors of 1\/(-2) + (-170)\/o?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 1\/7 (c) -4 (d) -0.7 (e) 2\/3 (f) -168\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -533 - 597. Let q be (-964)\/6*1\/l. Let z = q - 1\/113. Do -1 and z have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least -2\/1836907465?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a tonne in kilograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + -18. Let r be d\/(-4) + (-18)\/12. Let h(n) = -n**2 + 8*n - 2. What are the prime factors of h(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*l + 14. Calculate the remainder when 193\/15 - (-2)\/15 is divided by l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156160873.\nAnswer: 11, 14196443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 106369932 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 387.00001497 + -387. What is s rounded to 7 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 0*t = -24. Suppose -t*m + 12 = -4*k + 4, -5*m = 3*k - 26. Suppose k*r = -5*z + 639, -r = -0*r + 4*z - 327. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.4 - 3. Suppose 0 = x + 2*x - 9. Suppose 0 = 4*f + 1 + x. What is the third smallest value in -0.2, p, f?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from czzczzczzzz.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and -7983922.\nAnswer: -7983911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 581125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 1 - -6 - (2 - -1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 7:58 PM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 + 10. Let t = o - 3. Suppose -3*y + 6*y - 24 = t. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 320.7 + -321. Let m = -5\/21 - -67\/105. Sort 9, m, c in descending order.\nAnswer: 9, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 - 18. Let k = 11.08 - t. Does 0 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u**(1\/4)\/u*u)\/u**(-11))**(-3))**(1\/2) assuming u is positive.\nAnswer: u**(-147\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 12822 - 4?\nAnswer: 12818","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1040)\/35 - (-9 - (-1300)\/140)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 686805212?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -27 divided by -13\nAnswer: 27\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -751 - -5266\/7. Suppose 3*n + 4*q = 35, 5*q = 2*n + 7*q - 18. Which is smaller: n or d?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -17\/6 in 4, 2, -216, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 2*d**2. Suppose 0 = -j + 8*j - 14. Let i(v) = -2*v**j - 2*v**2 - 7*v**2. Calculate c(i(h)).\nAnswer: 242*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of s**5\/20 - 2*s**2 - 583*s. Let f(g) = -2*g - 176. Give f(m(z)).\nAnswer: -6*z**2 - 176","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 7:52 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101.9169837 seconds to weeks.\nAnswer: 0.00016851353125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -164, -331, -498, -665, -832, -999?\nAnswer: -1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 - 1 - (-7 - (13 - 27))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5326.4*-22.\nAnswer: -117180.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3183*b - 3173*b + 90 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 115949.82 rounded to the nearest 1000?\nAnswer: 116000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -9700, 1\/6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2\/4713 + 76967\/28278. Let m be (-52)\/117 - (-4022)\/8928. Let h = m + 13111\/5456. Calculate the common denominator of h and g.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(-1)*r*(((r*r**(-6\/11))\/r)\/r)\/r*r)\/(r**(-5\/6)*r*((r**(2\/11)\/r)\/r)\/r)*(r**(-2\/7)\/r*r)**(-40)*(r**2)**50 assuming r is positive.\nAnswer: r**(52915\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 - 68*b**2 + 152*b - 997. Determine t(66).\nAnswer: 323","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -197*f**6 + 6*f**5 - 7*f**3 + 400178*f**2 - 5*f - 1 wrt f?\nAnswer: -23640*f**3 + 360*f**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 44*v - 46*v + 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1513 - 2?\nAnswer: -1515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/5 + 2*y**2\/5 + 3*y\/5.\nAnswer: -y*(y - 3)*(y + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 8*l**2 + 2*l - 37. Let h(g) = -3*g**2 + 12. Suppose 6*z - 16*z = -40. Let p(s) = z*c(s) + 11*h(s). Factor p(y).\nAnswer: -(y - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**4\/4 - y**3\/3 + y**2\/2 + 2. Let g be x(0). Suppose g = -2*a + 4*a - 2. What is the least common multiple of a and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1136777 less than or equal to -1136773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 114877 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 3 w when four letters picked without replacement from {w: 7, c: 5}?\nAnswer: 35\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, w: 1, q: 3, k: 5, a: 2}. What is prob of sequence qa?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 105 - 317. Let l = m - -214. What is the second smallest value in -4\/7, 4, -10, l?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/(1 - 21)*-444 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -290163406*f**2 + f - 348725565?\nAnswer: -580326812*f + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (356\/24)\/(28\/32). Let s = 50\/3 - z. Let r be -1 - 0 - 27\/(-21). What is the smallest value in r, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 13) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-170*(-33)\/(-6930)*-6)\/(36\/(-21))?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 + 34. Let y(q) = q - 3. Let z be y(l). Suppose -4*p + 3*a + 313 = z, -4*a = 13 - 1. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - 1 - (15 - 24)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15091574 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/12)\/((275\/20)\/(-11))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -28*(-1 - -2). Let k = t - -39. What are the prime factors of k?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 - -10. What is the remainder when (-3)\/15 + (-202)\/(-10) is divided by -2 - 0 - (y - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*b + 506630 = -341827 - 178539. What is the ten thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -331 = -y - 0*y. Let s(v) = -3*v**2 + 17*v + 232. Let a be s(15). Let u = a + y. List the prime factors of u.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f. Let m(g) = -g**2 - 8*g + 3. Let c be m(-8). Let b(t) = -2*t + c*t - 2*t + 5*t. What is b(q(d))?\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 3*u - 1301654 = -1301671, -5*n - u + 4*u = -23 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -237600 rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 15*o + 387. Let k be l(-28). Put -3, 2, k, 0 in descending order.\nAnswer: 2, 0, -3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12835?\nAnswer: 5, 17, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 35, 6, -45, -124, -237?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from offooif. What is prob of picking 1 f and 1 o?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 1. Let l(t) = -t**2 - 6*t - 4. Let o(z) = -4*z - 8. Let b be o(-3). Let a(v) = b*u(v) - l(v). Find the second derivative of a(p) wrt p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence js when two letters picked without replacement from {s: 2, j: 10}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -477, -474, -471, -468, -465, -462?\n\"Answer: 3*t - 480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -52 in -0.032, 5, 3, 110?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 15 = -7*d. Let x be (-3 - d)*(-1)\/2. Suppose -w + 1 + x = 0. Solve -w*a + 0*a = 4 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 9, a: 3}. What is prob of sequence amma?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*t**2 - 6*t**2 - 14*t**2)*(-3*t + 3*t + 2*t + (2 - 1 - 3)*(-t - 2 + 2)).\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2270435 divided by -27?\nAnswer: -2270435\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3456))\/(-5*sqrt(8)*2).\nAnswer: -12*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69607231541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/10)\/((-138)\/46)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of -s**9\/3024 + s**5\/120 + 7*s**4\/12 + 2*s. Let y(h) be the third derivative of p(h). Find the first derivative of y(n) wrt n.\nAnswer: -20*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2866 or -1866190\/651?\nAnswer: -1866190\/651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-3)\/(-9))\/((-46)\/(-2195442)) is divided by 204.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5 - -6) + (-24)\/3. Let o be (-2)\/h + (-40)\/(-7). Calculate the greatest common divisor of 2 and o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3*10\/(-105))\/((-3)\/(-7))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 64 + -46. Calculate the smallest common multiple of 3 and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -85*w**2 - 98*w**2 + 184*w**2 - 22*w - 32. Let u be v(-4). Calculate the highest common factor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 11\/24?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35270*r**3 + r**2 - r**2 + 421657*r**3.\nAnswer: 386387*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14\/168*(2*-2 - -1). Which is the nearest to 1? (a) -0.1 (b) -1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from zzzzyzyyyyzyyyyyyyz.\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 15232845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, 108813384, 1\/3?\nAnswer: 108813384","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - -11 - -9 - 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157804222 is divided by 1671?\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 90 - 95 - 30*p - 25*p to w + z*p and give w.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -110151?\nAnswer: 110152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50918?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - -81595160171.\nAnswer: 81595160176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/9*81\/(-6). Suppose 2*w - 5*u + 6 = -a, 3*u - 7 = w. Let d be ((-196)\/w)\/((-4)\/1000). 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: b\"What is the nth term of -81823, -327317, -736481, -1309321, -2045843, -2946053, -4009957, -5237561?\n\"Answer: -n**3 - 81829*n**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 11*b**2 - 12*b + 7. Let t be d(-12). Calculate the common denominator of -63\/10 and 84\/(-64) + (-21)\/t.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9*h + 7. Let j(d) = -d - 1. Let c(s) = 40*j(s) + 5*n(s). Let g be c(5). Suppose 2*y + 29 + 21 = 5*m, -2*m + g = -y. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 3. Let f be v(5). Let s = f - 2. Let d = -7598 + 7603. Solve d*x - 4 = -3*j + 16, s = -4*x + j - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*n*p - 74320*f**2*n*s - f**2*n - 3*f*n*p*s - 39*f*n*p - 5*f*n + 3*n*s + 2*p wrt f.\nAnswer: 2*n*p - 148640*n*s - 2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 849154.9080567 + -849155. Let r = -0.092 - f. Round r to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2366 and 140?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 + 43. Is (2 + -3)\/g - -2728 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 + 8*r**2 - 6*r - 7. Let p be b(7). Suppose 18 = 3*m + 2*z - 4*z, -2*m - 2*z + 22 = p. Suppose -m + 30 = 2*c. Is c a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 3 = 0, -4*l + 6*l - 64 = -a. Calculate the remainder when 38 is divided by (93\/a)\/((-1)\/(-14)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*k - 1189 = -18*k + 38*k for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/((-380)\/400) - (-1426)\/62?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*1 + 3 + 4)**2.\nAnswer: 42*sqrt(5) + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktakataa. What is prob of sequence kt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (805*n - 1814*n - 601*n)*(0 + 0 - n**2) to the form m*n**2 + k + s*n + i*n**3 and give i.\nAnswer: 1610","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**2 - 6*o - 5. Let j(b) = -b + 3. Let x be j(5). Let q be k(x). Let c = 0.02 + 4.98. Sort c, q, 0.2 in ascending order.\nAnswer: 0.2, q, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.185 and 0.2.\nAnswer: 0.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.4? (a) -78027 (b) 0 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 5*r - 3. Let n be i(-3). Let m(q) = 17*q + 1. Suppose 0 = 190*c - 700*c - 484*c + 26838. What is the remainder when m(n) is divided by c?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11\/4*b + 3\/2*b**2 + 3\/2 - 1\/4*b**3 = 0 for b.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 9*x**2 - 31*x + 103. Is r(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8101978 by 19199.\nAnswer: 422","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum -175199 and -1043.8.\nAnswer: -176242.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**5*w*w*w\/(w\/w**(3\/5)))**(4\/5)*w\/(w*w*w**(-1))*w**5*(w\/(w**(2\/9)*w*w))**(-3\/14) assuming w is positive.\nAnswer: w**(11909\/1050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -2*b. Let l(o) = 2*o**3 - 5*o + 3. Let n be l(0). Let x(f) be the third derivative of -3*f**2 + 0 + 0*f + 3\/8*f**4 + 0*f**n. Calculate t(x(v)).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__compose_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: Rearrange (-302 + 302 - 69*r)*(-1 + 5 - 2 + (1 + 3 - 2)*(-2 + 4 - 4))*(-2*r + 4 - 4) to p*r + q + x*r**2 and give x.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -n + 5*k, 3*n - 3*k = 18. Suppose 75 + 190 = n*o. Suppose 0 = -3*i + 2*v + o, -i + v - 26 = -2*i. List the prime factors of i.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38244*m*q**2*r + 2*m*q**2 + 74*m*r - 150*m - 17*q**2*r - 146*q**2 - 4*q + 1 wrt r?\nAnswer: -38244*m*q**2 + 74*m - 17*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 PM and 10:34 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r - 3. Let u be w(4). Let k = -20 - -19.94. Which is the nearest to u? (a) 5 (b) k (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 285581 and 22555.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.05 - -0.05. What is the second smallest value in j, 0.2, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t**3 - 5*t**2. Let v(p) = -3*p**3 + 2*p**2. Let b be 3\/(-6) + (-31)\/(-2). Determine b*v(j) + 6*y(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 + -6 + -5 - -2) + 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 divided by -1?\nAnswer: 238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 177190 divided by -17719?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azt when three letters picked without replacement from {z: 1, t: 5, a: 4}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2091806 is divided by 294?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3198258 and 378?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -821886 by -246.\nAnswer: 3341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -870 divided by 1?\nAnswer: -870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-36)*-3 + (-85)\/2. Which is smaller: -42 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d + 2*h = 19*d - 60, -5*d - 60 = 5*h. Suppose -4*i + 3 = u - 0, -3*u - 2*i = -19. Solve u*j - 5 = d*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004807146 rounded to six dps?\nAnswer: 0.000481","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*d**2 - d**2 + 2*d**2 + (-3744 + 3744 - 56*d)*(26*d + d - 7*d).\nAnswer: -1125*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20355 or 19185?\nAnswer: 20355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rpu when three letters picked without replacement from {u: 1, r: 6, p: 1, b: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 - 2. Suppose b = -v + 2*v - 2. Which is smaller: v or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**2 - 6*n - 10. Is q(-7) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00027742748 to 7 dps.\nAnswer: -0.0002774","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -204 and -162?\nAnswer: 33048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/13? (a) -1 (b) -19 (c) -6 (d) -100\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 53890 and 42081750?\nAnswer: 3170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2\/19)\/((p**(-5\/14)*p*p*p)\/p)*p**39\/((p\/(p**6*p))\/p*p) assuming p is positive.\nAnswer: p**(11505\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 405601 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011100111100001 - -10010101?\nAnswer: -11011100101001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 3*g - 21 + 2 = 0, w - 3*g - 14 = 0. Solve v - w*v = -2*f - 6, v = -3*f + 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 2*v - k, -14 = -2*v - 2*k - 4. Calculate the least common multiple of 2 and v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 - 6*a + 2. Suppose -3*p - y = -4*y + 18, -3*p + 4*y - 18 = 0. Let s be g(p). Let h(t) = 2 + 0 + s - 2*t + 0. Calculate h(6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 270 by -850.\nAnswer: -27\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -320, -652, -984, -1316, -1648, -1980?\n\"Answer: -332*j + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2504.705 centimeters?\nAnswer: 25047050000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11821 in -2\/37, 0.4, -2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 2*p - 298 = -303, -5*p - 33 = -8*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 304424*j - 1. Let n(l) = -2*l. Give n(w(g)).\nAnswer: -608848*g + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*((sqrt(12)\/(sqrt(6)*-2) - sqrt(2)) + 3 - sqrt(24)\/(-4*sqrt(60)\/sqrt(5))))**2.\nAnswer: -1920*sqrt(2) + 3104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cjtt when four letters picked without replacement from {j: 4, i: 2, c: 6, t: 6}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, 78, 15, -5, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 22.7, 0.4, 2\/11, -3?\nAnswer: 22.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -5*j**2 - 7*j + 5. Let a = -2 + 5. Suppose 1 = x - a. Let y(h) = 2*h**2 + 3*h - 2. Calculate x*r(f) + 9*y(f).\nAnswer: -2*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 284933 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54106953 by 381.\nAnswer: -142013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -251 - -268. Suppose 2*k = -u + 269, -2*k = -2*u + 10 - 270. Calculate the remainder when k is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + 9*d - 13. Let p be q(-11). Solve -5*z + 1 + p = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 - 3*x**2 + 395*x - 1502. Give y(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u + 2*h - 13 = -2*h, 4*u + 22 = h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 1. Let t(f) = 3*f**2 + 7*f**2 - 2*f + 8*f**2 + 1. Is t(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04 - -3.04. Let p(h) = 2*h**2 + 23*h + 63. Let s be p(-6). Let r = 0.3 + -0.1. Which is the biggest value? (a) l (b) r (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2. Let o(i) = 122*i + 4. Let f(s) = -123*s - 5. Let p = 57 - 52. Let m(v) = p*o(v) + 4*f(v). Calculate t(m(j)).\nAnswer: -13924*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1802 is divided by 82?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -q, 7 + 134 = 4*f + 3*q. Let k = -36 + f. Solve -b = 5*x + 11, b + 0*b - 2*x - 10 = k for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32613914873 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 15) to base 6\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the third derivative of -19*f**7\/1050 + f**6\/300 + 19*f**5\/100 - 11*f**4\/30 + 2*f**3\/15 + 14*f**2 - 7. Determine l, given that y(l) = 0.\nAnswer: -2, 2\/19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6\/17 (b) 1 (c) -4 (d) 131 (e) -2 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a kilogram in grams?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence coi when three letters picked without replacement from ctitciottycy.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103542 is divided by 968?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**2 - 56*v + 5. Let g be w(28). Let m be (0\/((-2)\/2))\/1. Sort m, -3, g in decreasing order.\nAnswer: g, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 + 6*w**3 + w + 3*w**2 - 2 - 7*w**3. Let v be x(7). Find p such that -3\/4*p**4 + 3\/4*p**3 - 1\/4*p**2 + 0 + 1\/4*p**v + 0*p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-24)\/(t*t**20))**(18\/13) assuming t is positive.\nAnswer: t**(-810\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 0.3354 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/59352 and -37\/16824.\nAnswer: 41605752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-26928)\/(-9) + (-12 - -13) is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1298, -1315, -1380, -1517, -1750, -2103, -2600, -3265?\n\"Answer: -4*i**3 + 11*i - 1305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -44*p**4 - 5317*p**3 - 716790*p**2 wrt p.\nAnswer: -1056*p - 31902","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91285320?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 93707976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the third derivative of 0*l - 17*l**2 + 0 + l**3 + 31\/24*l**4. List the prime factors of g(3).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -146*f + 559*f + 26845, 7*p = 8*p + 4*f + 260 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24282 and 237341214.\nAnswer: 1278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.82 + -1826?\nAnswer: -1826.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 429, 875, 1671, 2991, 5009, 7899, 11835?\nAnswer: 16991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 14 = 5*f, 0 = -3*m + m - 3*f - 30. Let d be 17\/4 + 3\/m. Suppose 3*y + d*o = 38, -5*y - 3*o - 19 = -86. List the prime factors of y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4460119.98 and 0.5.\nAnswer: -2230059.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.1 - -3. Let o = -191\/259 + 22\/37. Which is the nearest to -0.3? (a) 0.2 (b) q (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14803\/20 + 740. What is the common denominator of -47\/122 and z?\nAnswer: 1220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 5, 4, -3, 0.02, 4\/39, -0.06, -3\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-74)\/(-14) - (-8)\/(-28). Suppose 47 = 3*x - k*y, -5*x - 3*y + 0*y = -67. Calculate the greatest common divisor of x and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -7\/39*o**3 + 23*o + 10 + 1\/78*o**4 - 8\/13*o**2. Let q(b) be the first derivative of l(b). Factor q(m).\nAnswer: 2*(m - 8)*(m + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8406029857 to the nearest integer?\nAnswer: 2033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -690, 6, 4 in descending order.\nAnswer: 6, 4, -690","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -69 - 147. Solve 5*s + 71 - c = -4*y, -4*s = -y + 22 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -13*u**4\/12 - u**3\/2 - 20*u**2. Let x be q(-1). Solve -7 = -4*v - x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/3 + (-4)\/(-12). Let x be 34\/(-10) - d\/5. Is 1282\/(-2 + 0 - x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -117 = -5*n - 11*c + 8*c, 33 = n + 3*c. Solve -4 + 67 = n*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2530\/30*(-3)\/(-11) - 0\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(38)\/((sqrt(98) - (sqrt(98) + sqrt(98)*-2)) + sqrt(98)).\nAnswer: sqrt(19)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 9:42 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7*(-2)\/12 + (-108)\/162)*2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 11:05 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_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: Factor -35*k**2 - 7899490*k + 2257000.\nAnswer: -5*(k + 225700)*(7*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.07 - -0.05. Let a = 0.020032 + u. What is a rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 380218096.\nAnswer: 2, 23763631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3449195?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 644.4 - 645. What is the nearest to b in -2, 0, -1\/8, 5\/6?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*j + 9 - 27 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 + 20*l**2 + 20*l + 39. What is the remainder when 1017 is divided by u(-19)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*q + 480 - 2253. Solve q*p = 194*p + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*h - 106*h - 10 = 0. Let z(x) = 144*x**2 + 3*x + 145*x**h - 288*x**2. What is z(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/10*(-2 + 22\/6). What is the biggest value in a, -2\/7, 5.6?\nAnswer: 5.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 367 + -72. Calculate the greatest common divisor of c and 118.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1804.\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-22)\/(-6) - 4). Let a be -69*(10\/l)\/(-5). Let y = 27 - a. Solve 0 = 3*s - 5*t - 5, 3*s + 5*t = y*s - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + 7. Let k = q + -9.966. Let x = k - 0.057. What is x rounded to 2 dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 485, 985, 1509, 2069, 2677, 3345, 4085?\nAnswer: 4909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 96.725 - 97. Let d = 0.26 + v. Let p = -0.195 - d. Which is the third smallest value? (a) -2 (b) 3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 c when two letters picked without replacement from {c: 1, g: 1, q: 4, o: 4, i: 6}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, h: 17}. Give prob of picking 2 m.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3 + 3*k**2 + 30*k - 2 + 0 - 40*k. What is the units digit of s(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*z + 57*z = 51. Which is the nearest to -26? (a) 5 (b) z (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*s - d, -4*s + 6 = -7*d + 10*d for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(468))\/(3*3*sqrt(4)).\nAnswer: -2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 2 + 2*l)*(-l**4 - l**3 + l**3) + 3*l**3 + l**5 - 3*l**3)*(2 - 3 + 0).\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4010 - -2?\nAnswer: -4004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rx when two letters picked without replacement from rnrryxv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of p**3\/3 - 4*p - 1. Let l be m(0). Is l + 6 + 2*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 491165?\nAnswer: 982330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 70\/(-280) - 11\/(-104)*2?\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0083902911 rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/17459 or 0?\nAnswer: -2\/17459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -137*a + 136*a - w = -5, 7 = -4*a + 5*w. Suppose 232 = -3*r + 5*r. Suppose a*b - 4*b + r = 0. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 9*x**2 - 5*x - 3. Let t(g) = 3*g**2 + 3*g**2 - 3*g - g**2 - 2. Suppose -v - 4*w + 16 = -1, 0 = -2*w. Let p = -10 + v. Calculate p*t(d) - 4*s(d).\nAnswer: -d**2 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 - 4 + 34 - 12597*l - 14 in the form w*l + t and give w.\nAnswer: -12597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -271466983\nAnswer: 108586793.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2322 is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 45*m**2 - 581*m + 52. Calculate the remainder when i(17) is divided by 39.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 1. Let k(m) = 2*m + 3. Let j be 3 - 0*3\/9. Determine j*k(r) - 8*a(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -24 in 1, -0.2, 2\/19?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -222 - -89. Let f = m - -66. Let z = f - -134. What is the tens digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9239.556 tonnes to milligrams.\nAnswer: 9239556000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**3 + 59*u**2 + 114*u + 91. What is i(31)?\nAnswer: 742","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s + 5604. Let x(a) = a - 3. Calculate x(j(h)).\nAnswer: -h + 5601","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 3 + 4 - (-1 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -754 - -753.8. Let d be 2\/8*(-28)\/(-6). Which is the second biggest value? (a) w (b) d (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1293316 - -2?\nAnswer: -1293314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 208 + 13?\nAnswer: 21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 21894667 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68779640022351 - 68779640022351 + v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1826 is divided by 494?\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -64882.4 times -10?\nAnswer: 648824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g + 4*g + 1 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v + 10. Let j be p(8). Suppose -5 = j*h - h. Let c be (-28)\/(-10)*h\/(-2). What is the greatest common divisor of c and 42?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 8) to base 9\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqw when three letters picked without replacement from {w: 10, x: 2, q: 2}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*s**3*u + 42044401*s**2 + 12102959*s - 5*u wrt s.\nAnswer: 12*s*u + 84088802","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -3*v**2 + 14*v + 7. Let h be g(5). Let u(n) = -3*n**3 - n**2 + 3*n - 2. Give u(h).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p**2 - 60. Let i(x) = -405*x**2 - 406*x**2 - 410*x**2 + 1220*x**2. What is f(i(l))?\nAnswer: 2*l**4 - 60","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -384 + 385. Let t = -1 + u. Solve k - 5*v = -t*k - 1, -v = -1 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31293222*y + 2106 = 31293249*y for y.\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 273935 a multiple of 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) - (sqrt(72)*-2 - sqrt(2))**2 - sqrt(400)\/sqrt(8).\nAnswer: -338 - 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -2*v**2. Let f(d) = 4053*d**2 - d - 21018. What is f(m(q))?\nAnswer: 16212*q**4 + 2*q**2 - 21018","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*y - 9. Let t be 2\/4*0\/2. Let x = y + t. Solve x*u + 5*l + 15 = -u, -5*u - 25 = -l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2513 (base 6) to base 11.\nAnswer: -515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*18763\nAnswer: 9381.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 3164098256 divided by -4\nAnswer: -791024564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/13)*g**5)\/(g**(-6)\/(g\/(g**(1\/3)*g))))**(-23) assuming g is positive.\nAnswer: g**(-9430\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/50 and -51\/560?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47211285629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(119))\/(sqrt(7) - sqrt(847)*2) + 5.\nAnswer: sqrt(17)\/7 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the second derivative of -v**5\/20 + 3*v**4\/4 - v**2 - 4*v. List the prime factors of n(5).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 + -27. Suppose c + 1 = l. Suppose 4*f + 434 = l*r + 3238, -2*r = -8. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.66 (b) 1 (c) -4 (d) -5 (e) 8 (f) -6 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**4\/3 + 14*b**2\/3 + 4*b.\nAnswer: -2*b*(b - 3)*(b + 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 - 20\/30. Let g be h + 4 + 1*66. Let z = 3 + g. Calculate the greatest common divisor of z and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 217 and 5177?\nAnswer: 36239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-1) + (-4)\/(-4). Let w = -36 + o. Find the common denominator of ((-3)\/w)\/(2\/(-15)) and -99\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 32\/3*d**3 - 32*d - 38 + d**4 - 2*d**2. Factor n(i).\nAnswer: 4*(i - 1)*(i + 1)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 78 = 168. Suppose 0 = 4*q - v + 10. Suppose 1932 = q*c - 1586. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2 + 5812*d + 4222418.\nAnswer: 2*(d + 1453)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10733407778719 + 0.\nAnswer: -10733407778719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -5*l + 7*l. Suppose -l = -4*j + 9. Solve -2*z + g = j, 2*z + 4*g + 2 = -4 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-5)\/18 - 2\/9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/18 and (12\/(-48))\/(2\/10).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(33) - sqrt(528)) - 1*sqrt(4752))\/((sqrt(121) - (sqrt(121) - (-2*1*sqrt(121) + sqrt(121) - sqrt(121))))\/sqrt(11)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 0 - h - 2 to u + o*h and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 353753*j**2 - 1 - 348223*j**2)*(-4 + 1 + 4).\nAnswer: 5530*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -12*l - 27. Let v be 1\/(27\/6) - (-148)\/(-18). Let r(m) = -18*m - 40. Let u(q) = v*h(q) + 5*r(q). Find the first derivative of u(s) wrt s.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llgp when four letters picked without replacement from {l: 3, g: 3, h: 1, p: 3}.\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -5*q + q. Let r be (1\/(-2) + q)*-6. Is ((-127)\/1)\/(2 + r) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6\/7 + 186\/7*u**2 - 46\/7*u**3 - 146\/7*u = 0.\nAnswer: 1\/23, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -550*d**2 - 2835*d - 3575 = 0. Calculate d.\nAnswer: -65\/22, -11\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 53.3915 to 1 decimal place.\nAnswer: 53.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j = -11 + 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a + 11*a + 7*a - 40*a.\nAnswer: -16*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/(-26))\/(210\/1820). What is the third smallest value in -4\/5, w, -2, -2\/375?\nAnswer: -2\/375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2072556912 divided by -3\nAnswer: 690852304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, 0.44, -0.1, -0.5, -0.4, 0.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.013, -67, -5?\nAnswer: -0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 15 - 17*g**2 + 6*g**4 - 19*g**2 + 3*g + 63*g**2 - 23*g**2 + 4*g**4 as n*g + c*g**3 + u + b*g**4 + y*g**2 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 222 = -3. Suppose -3*a + b = -585. Suppose 3*n - h - 2 = a, 0 = n - 3*h - 66. Is 25 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3881 + 1686 = 19*c. Is 86 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -878235, -1756430, -2634625, -3512820, -4391015?\n\"Answer: -878195*x - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x. Let j(h) = 4*h**2 - 4*h - 12. Let m(s) = j(s) - 5*u(s). Is m(9) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -601509\/44 - -13670. What is the common denominator of y and 51\/77?\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -520, 3, 15, -3 in ascending order.\nAnswer: -520, -5, -3, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -100 and -10.375?\nAnswer: 1037.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 562 - 1522 - 8*v - 6*v - v**2 + 13*v - 93*v**2 wrt v.\nAnswer: -188*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -ca + -568?\nAnswer: -665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 56 and 0.22087.\nAnswer: 12.36872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 40, 69, 88, 91, 72?\n\"Answer: -s**3 + s**2 + 33*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 149721999\/(-2721611) + -1 + 56\nAnswer: -2\/163","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.2 - 3. Let h = 22.807665 - -0.192335. Put h, -1\/5, j in decreasing order.\nAnswer: h, j, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 229838, 0.1, -38 in decreasing order.\nAnswer: 229838, 0.1, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 37772.4 hours?\nAnswer: 2266344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 696081648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 11534168131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3)\/(((-3)\/(-15))\/(6\/(-50)))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 - 1)*(2*z - 7*z + 2*z + (-3 + 5 - 3)*(-2*z - z + 4*z) - 2*z + 1 - 1) + (2 + 1 - 4)*(-2*z - 4*z + 4*z) + 0*z + 0*z + z.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**3\/15 - 284*f**2\/15 + 8438*f\/15 - 5252\/5 = 0. Calculate f.\nAnswer: 2, 39, 101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 52128746 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*a + 11*a - 26 = 5*y - 17*a, -24 = 7*y + 5*a for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 314812932?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by 54.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes before 2:47 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 257840 divided by -32230\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.04428733 to 2 decimal places.\nAnswer: -1.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16711 is divided by 973?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 2:58 AM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0, 42, 5, -68 in increasing order.\nAnswer: -68, -4, 0, 1, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = -6*v + 249000000. What is v rounded to the nearest one million?\nAnswer: 50000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 3:42 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15935 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 11:33 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 211, 1194, 3519, 7738, 14403?\nAnswer: 24066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 0*c - 144. Suppose a + 3*a = c. Calculate the lowest common multiple of a and 22\/4*(2 + 0).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 AM and 3:28 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 7:44 PM?\nAnswer: 5:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4515644 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45 - 1?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (n + n - 4*n)*(2 + 2 + 0)*(-1 + 5 - 3) + (4*n + 2*n - 4*n)*(2 - 1 - 3) + 0*n + 2*n + n as r + i*n and give i.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 PM and 3:55 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -466745\nAnswer: -186698","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 174632, 174855, 175078, 175301?\nAnswer: 175524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (50*f - 298*f - 13*f - 91*f)*(-137*f + 2*f**2 + 198*f - f**2) as i*f + m*f**2 + k*f**3 + o and give k.\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 14\/6*3\/2. Let n = -2138.93 - -2139. Which is the second biggest value? (a) d (b) n (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.605 - -3.395. Let s = -2\/161 + -292\/2415. What is the closest to h in -4, 5, s?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 4*v - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 720.6 times 0.2168?\nAnswer: 156.22608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*(sqrt(396) + ((sqrt(396) + -3 - sqrt(396)) + sqrt(396))*2 - sqrt(77)\/(sqrt(1008)\/sqrt(4))))**2*-3.\nAnswer: -69336*sqrt(11) + 1145115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1377) - sqrt(51)\/(sqrt(12)\/sqrt(4)).\nAnswer: -28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 151289 is divided by 75614?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30 + 56. List the prime factors of s.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n + 118. What is v(-35)?\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 2\/5*p**5 + 0*p + 1\/3*p**4 + 0 + 3\/20*p**6 + 0*p**3 + 2*p**2. Factor l(w).\nAnswer: 2*w*(3*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 366, 1496, 3388, 6048, 9482, 13696, 18696, 24488?\n\"Answer: a**3 + 375*a**2 - 2*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18861?\nAnswer: 3, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 5780843?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2542 + -1247. Suppose w = 113*h - 108*h. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 + 13*u**2 + 37*u + 161. Let v be a(-11). Put v, 0, -49 in descending order.\nAnswer: 0, v, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -27742670*h. Let c(b) = -9*b**2. Calculate r(c(a)).\nAnswer: 249684030*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 403.8 + -278.5. Let h = 120 - n. Let f = 5.4 + h. Which is the biggest value? (a) 2\/7 (b) 0.4 (c) 0.09 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3666*i - 3718*i - 52 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 130 - 4. Let a(v) = -v**3 - 10*v**2 + 8*v - 15. What is the smallest common multiple of a(-11) and z?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n + 6. Let t be i(2). Suppose 4*v = t*d - 136, 2*v + v = -d + 42. Does 8 divide d\/4*(-16)\/(-18)*3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 126571 or 126570?\nAnswer: 126571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 400 + 223. Suppose -3*h = 2*q - 421, -3*q + 7*h - 3*h + c = 0. Calculate the highest common divisor of 19 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q**3 + 2*q**2 - q. Let k be r(1). Let s(g) = -g - 4. Let c be s(-7). Let y(v) = 2*v + v**c - 2*v - 6 - 4*v**2 - 4*v. Calculate y(k).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-45)*c))\/c*c)\/c**(1\/25)*(c*c**0*c*c)**(33\/5) assuming c is positive.\nAnswer: c**(1619\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 167*l**3 - 12*l**2 + 5*l - 18. What are the prime factors of g(5)?\nAnswer: 2, 41, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -80 (base 10) in base 2?\nAnswer: -1010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iwfwowfwioooaocwfoaw. What is prob of sequence afi?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -100853622*w**2*z**3 - 2*w**2*z - 154983652*z**3 wrt w?\nAnswer: -201707244*w*z**3 - 4*w*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16424 + 8214 + 8210 - 14*w**2.\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -116 or -118?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 3*b**2 + 2*b - 2. Let f be l(2). Suppose 6*t - f = -t. Let q(w) = -2 + 4 - t*w - 2 - 3. What is q(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-29 - -31) + -16 + -3\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60 divided by 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 73\/5 of a meter?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -24 + 29. Solve w - n*m = -3*w + 15, 3*m = -w + 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50245627.\nAnswer: 83, 605369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ejte when four letters picked without replacement from {t: 10, j: 1, e: 7}.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 36*o - 3*o + 155 + o**2 - 228. What is h(-35)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -7*y - 6. Let x be z(-1). Calculate the remainder when 10 is divided by x + 3\/3*2 + 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/5 in -4, 41, -29?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -3 (b) 0.2 (c) 0 (d) -101 (e) -108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8 - -63 - 0\/(-2) is divided by (-94)\/(-4) - (-1)\/2.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*h**3 - 1 - 11*h**3 + 17*h**4 - 15*h**3 to the form k*h**3 + v + n*h**2 + f*h**4 + r*h and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) 3\/2 (c) -5\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -99, 8, -55666 in ascending order.\nAnswer: -55666, -99, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2. Let t(r) = -6*r**2 - 8*r + 8. Let n(h) = 2*h**2 + 3*h - 3. Let g(k) = -8*n(k) - 3*t(k). Give d(g(b)).\nAnswer: 8*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.38? (a) 227 (b) 5 (c) 1\/5 (d) 0.3 (e) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**2 + 110*g - 37. Let x be u(-37). Solve -3*b + 4*v + 8 = x, 0 = -6*b + 3*b + 2*v - 2 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 4. Let b be (-1)\/(-3) - 15\/(-9). Suppose -b*u = 3*n - 13 - 16, -u + n = -a. Solve 3*x - 3*t = -15, x + 0*t + u = 3*t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -4\/3 (b) -2 (c) -14836 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 1\/8, 0.3, -37138?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -2*x + 5*r, 4*x - 5 = -5*r + 2*r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-3\/7)\/m*m*m*m\/(m*(((m*m\/m**(-5\/6))\/m)\/m)\/m)*m**8*m**(6\/5))**0 assuming m is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22 - -31. List the prime factors of w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -40, -66, -130, -250, -444?\n\"Answer: -3*s**3 - s**2 - 2*s - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -4*j - 289 + 746, j = 3*x - 264. Find the second derivative of -61*y + 36*y**2 + x*y - 56*y wrt y.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -4*b, 2*x + 3*b = 5*x - 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 761\/4 or 191?\nAnswer: 761\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c*s**3*z - 5*c*s**2*z - 107*s**3*z - 593*s**2*z wrt s?\nAnswer: -12*c*z - 642*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of 9*f**2\/2 - 29*f + 592. What is m(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -544.3 less than -22\/859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.21 - -0.11. Let h = q - 0.42. Is h > 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q**2 + 4*q**2 - 4*q**2)*(-3*q**3 + q - 4*q**3 + 14*q**3).\nAnswer: 14*q**5 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-3\/5)*k**3)\/(k**(1\/2))**(2\/33))**2 assuming k is positive.\nAnswer: k**(782\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 8:22 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24348169, -48696335, -73044501?\nAnswer: -97392667","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 17.2514826 seconds?\nAnswer: 0.0001996699375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**7*c**(6\/7))\/(c**(-6)\/c**2)*((c\/(c**(-5)*c))\/c**(2\/7))\/((c*c*c\/((c**(-3\/5)*c)\/c)*c*c)\/(c**(-4\/11)*c)) assuming c is positive.\nAnswer: c**(1004\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34558?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13034 or -13032?\nAnswer: -13034","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -3 - -3 - (705 - 737).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -11*k + 34 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**3 - 15*y**2 - 27*y - 1. Let p be c(-13). Suppose p*a - 100 = 7*a. What is the highest common divisor of 30 and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + 1124431?\nAnswer: 1124424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16179389\/9 at least 1797710?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -42554*o**3 + 12413 with respect to o.\nAnswer: -127662*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -40 - -53. Suppose 2*v = f + 53. Solve 4*b = 5*p - 21, -3*b - v = -5*p - 11 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + ((3 - 0) + -5 - -1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4 + 2325*z**3 + 291399*z**2 + 575811*z + 286740 = 0. Calculate z.\nAnswer: -108, -1, 885","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31521757\/11 - 2869769. Let d = 8317\/2 + w. Calculate the common denominator of 59\/6 and d.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 3*d, 4*d + 4 + 6 = f. Suppose -4*v + 19 = f*o + 5, 0 = 3*o + 5*v - 18. Let m = -74 - -74. Sort o, m, 4.\nAnswer: m, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -36, -80, -132, -186, -236?\nAnswer: -276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1884597 by -897.\nAnswer: -2101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/54 and 101\/1044?\nAnswer: 3132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2 - 900024*a + 202510800144 = 0.\nAnswer: 450012","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -138 + 204. Let y = 312 - b. Does 40 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 94 - 70. What is the lowest common multiple of 15 and v?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/12)\/(8\/36*-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4\/(v\/((v**(4\/5)*v*v)\/v)*v)*v*v\/v**(2\/13)*v*(v**(2\/17)*v)\/v)\/(((v*v**(-1))\/v)**(4\/9))**17 assuming v is positive.\nAnswer: v**(142406\/9945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1188\/495)\/((-18)\/45).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**3 + 2*n**2 - 2*n**2)*(-198*n - 228*n + 272*n) in the form u*n**4 + h*n**3 + s + k*n**2 + g*n and give u.\nAnswer: 154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15243307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35 + -996981?\nAnswer: -997016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, z: 3, y: 4, d: 2}. What is prob of sequence dzdf?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffcc when four letters picked without replacement from cfofcjcfocdccfco.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200010 + -11214033?\nAnswer: -11414043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 3530 a factor of 78193030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 66*w**3 - 1 - 10*w**2 + 10*w**2 - 9*w**3.\nAnswer: 57*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2. Let b(m) = 12*m**2 + 5*m + 590. Let o(q) = -7*q**2 - 3*q - 295. Let x(a) = -3*b(a) - 5*o(a). Calculate f(x(i)).\nAnswer: -2*i**4 - 1180*i**2 - 174050","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**5\/7 - 58*c**4\/7 - 382*c**3\/7 + 190*c**2 + 1344*c - 3528 = 0?\nAnswer: -14, -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110 + 0*h + h - 55 + 172.\nAnswer: h + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -1\/6*u**3 - 3\/2*u**2 - 3*u + 0. What is the first derivative of j(q) wrt q?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 709709, 1419471, 2129233, 2838995, 3548757?\n\"Answer: 709762*n - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -140 + 174. Is p a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24361.3 litres in millilitres?\nAnswer: 24361300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 53081986*d*y - 307748677*d wrt y?\nAnswer: 53081986*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 89*k - 482. What is m(5)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -75.35387 rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 4, -567.9, -2, 1.\nAnswer: -567.9, -4, -2, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1546*28.7\nAnswer: -44370.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 8*k**3 - 9*k + 5. Let r(a) = -a**3 - a + 1. Determine i(m) - 5*r(m).\nAnswer: 13*m**3 - 4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*n + 2, -3*t - 23 = -8*t - 3*n. Suppose -t*p = -0*p - 5*v - 17555, v = -3. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 4 + 16*p + 4 - 12 in the form i*p + s and give s.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*w - 22*w - 5*h = 1011 + 850, -w - 3*h = -97 for w.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of -b**7\/14 - b**6\/5 + b**4\/2 + b**3\/2 - 17*b. Let g(c) = 0. What is c?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*t - 298 = 0, 0 = -4*m - 0*m + t + 551. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3 - -12)*(-8)\/72)\/(1095\/11826)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -10) + 15 + -44 + 13\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15 - 9 + 51*z + 25 to n + r*z and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/d**(-1))**(-11)*d**(-19)\/(d\/d**14) assuming d is positive.\nAnswer: d**(-39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 3*s. Suppose -3*g = 4*c - 71, c - 9 = g - 35. Suppose 24*p = g*p - 3. Let k(d) = p*d - 7*d + 2*d. Give k(m(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 + -1)\/(-3) - -3. Suppose 4*n + k - 5 = 0, 2*k = -n + k - z. Solve n*m + 2*m = -4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + h - 1. Let r(m) = 6*m**2 + 2*m - 22. Let y(v) = 5*p(v) - r(v). Let w(k) = 4*k**2 - k - 6. What is -17*w(c) - 6*y(c)?\nAnswer: -2*c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the third derivative of v**10\/50400 - v**8\/3360 + v**6\/240 - v**5\/20 - 2*v**2. Let x(t) be the third derivative of r(t). What is p in x(p) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 531664 and 4416528.\nAnswer: 1616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**4\/6 + 5*d**3\/6 - d**2.\nAnswer: -d**2*(d - 3)*(d - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i + 3*k - 15, 5*k + 197647 = -4*i + 197663 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 - 2*f + 4. Let t = 187 - 187. Let x be y(t). Factor 0*b - 4\/13*b**2 + 0 - 14\/13*b**x + 18\/13*b**3.\nAnswer: -2*b**2*(b - 1)*(7*b - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 7674593636?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/4)\/(15\/100). Let r be 10 - (g\/(-5) - 0). Calculate the remainder when (-7 + r\/(-2))*-1 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -19*f**2 - 170*f - 42. What is j(-8)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -42*f - 10. Which is the smallest value? (a) f (b) -0.09 (c) -5 (d) 0.33 (e) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/(-44)*723\/18. Let j = l - -33\/4. What is the common denominator of j and -37\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of z**4\/48 + 7*z**3\/8 + 5*z**2\/2 - 13*z - 5. Factor m(x).\nAnswer: (x + 1)*(x + 20)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a6418 (base 13) to base 3\nAnswer: -2122210202222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 4*d**2 - 3*d + 4. Let b be o(3). Let v(t) = -t - 11. Suppose 7 = -2*l + 11. Let p(w) = -4. Let x(a) = l*v(a) - 7*p(a). What is x(b)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 124469 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 5 = 86*k - 85*k, -3*k = -3*y + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, a: 4, n: 1}. What is prob of sequence ooaa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 40219 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 30 = i, i - 28*q - 29*q + 62*q = -70 for i.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/11))**(-16))**(17\/6) assuming u is positive.\nAnswer: u**(-544\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 AM and 1:12 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*k + 74 - 74 to i + u*k and give u.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 570 by -57.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5516 divided by -788.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33102704?\nAnswer: 2, 23, 3911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94 + 94 + 8*s)*(-676 - 553 + 836).\nAnswer: -3144*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -191*z + 514. Let d be y(-25). Calculate the greatest common divisor of d and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**5\/3 - 64*m**4\/3 - 308*m**3\/3 - 440*m**2\/3 - 64*m = 0. Calculate m.\nAnswer: -8, -6, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65476.827 + -65529. Round u to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-8)\/2)\/(17\/34). What is the tens digit of -2 - (2\/8 - (-1674)\/m)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1256\/(-6280)*(1\/9 + 1). Which is the nearest to -1? (a) 9 (b) 0.28 (c) m (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 + 176 + 6)*(0*g - g + 0*g) + 22*g + 21*g + 11*g.\nAnswer: -180*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the second derivative of -m**6\/40 + m**5\/20 - m**3\/6 - 12*m. Let o(f) be the second derivative of u(f). Find the second derivative of o(q) wrt q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the first derivative of 3*w**2\/2 + 2*w + 5. Let g be c(1). Let b = -7 + 7. Solve 0*l - g*l - 10 = b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25907.00000272425 + -25907. What is t rounded to 7 decimal places?\nAnswer: 0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6 - 5. Suppose -3 = -2*f + t. Solve -3*h + 15 = -0*h - 3*x, -f*h + 3*x = -13 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18773 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**2)**(-3\/35)*((l\/l**(1\/4))\/l)**(1\/4) assuming l is positive.\nAnswer: l**(13\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/3)\/7*21\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/(-3))\/(10\/(-735)). Let m = a + -3. Suppose 5*x - m = 54. Solve -4*t = t - x for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 14*q**3 - 6*q**2 - q - 3. Let y(x) = 5*x**3 - 2*x**2 - 1. What is 6*b(n) - 17*y(n)?\nAnswer: -n**3 - 2*n**2 - 6*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + (0 - 1) - 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 l when three letters picked without replacement from ppllllllllplplpllpp.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2290410124.\nAnswer: 2, 617, 928043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n - 9 = -10*n. Let z(b) = -4*b + 6 + 6*b - b. What is the smallest common multiple of n and z(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/3))**(3\/25)\/(k**(2\/11)\/(k*k**(-30))))**(2\/37) assuming k is positive.\nAnswer: k**(-16094\/10175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i**2 + 20*i - 37. Let d(q) = -2*q**2 + 7*q - 13. Give -6*c(k) + 17*d(k).\nAnswer: 2*k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(4\/7))\/(y**(2\/11)\/y)*(y**2\/y)**23 assuming y is positive.\nAnswer: y**(1955\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 4234500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.8 - -22.2. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qzxmqtntmzmqmtm. Give prob of sequence tnt.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 133591?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -110676 (base 8) to base 13\nAnswer: -13ca0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4*y - 5*r - 23659975, 0 = -4*y - r + 94640005. What is y rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179827935?\nAnswer: 3, 5, 7, 43, 39829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 - 121888*z - 1949922. Calculate a(-16).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 423*h + 248*h + 55*h - 2904. Let k = 1 - -1. Suppose -32 = -6*b + k*b. What is the greatest common factor of b and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 o when three letters picked without replacement from occaoacqrorqrci.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**2 + 20*r - 22.\nAnswer: 2*(r - 1)*(r + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 1, x: 1, z: 1, r: 2, e: 2}. What is prob of picking 1 p and 1 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 74\/18 - (-12)\/(-108). Suppose k*i - i = 5*x - 3, 2*i = 8. Suppose 0 = j - x*o - 82, -j - 5*o + 75 = -o. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 4*c**5\/3 + 28012*c**4\/3 + 48831496*c**3\/3 - 737016520*c**2\/3 + 3101520884*c\/3 - 2413363876\/3 = 0.\nAnswer: -3509, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12, 46, 104, 186, 292?\nAnswer: 422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/376140 and 163\/1140.\nAnswer: 7146660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 7 + 3*l - 3 + 1. What is the tens digit of t(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 + -5)*1\/3 - (-30)\/108?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 6*j - j = -3, 2*j = 3*i - 10. What is the third derivative of 4*z**6 + 0*z**4 - 3*z**4 + 3*z**i - z**2 wrt z?\nAnswer: 480*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 1. Let x be l(3). Let r be (65\/130)\/(1\/16 - 0). Let q(p) = p - 1. Let v be q(1). Solve x*n = -v - r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 95*n - 88*n = 217. Calculate the remainder when 46 is divided by n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2984 greater than 2900?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*o**2 + 213*o**2 + 468*o**2.\nAnswer: 724*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6154, 9802, 15890, 24418, 35386, 48794?\nAnswer: 64642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*-6.9.\nAnswer: -296.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that b**2\/3 + 190*b\/3 - 4897 = 0.\nAnswer: -249, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = p + 10, -4*p + 25 = -3*r - 2*r. Suppose -5*v = c - 39, c - 6*v - 18 = -8*v. Sort -1, p, -18, c.\nAnswer: -18, -1, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 10*s**2 + 5. Let n(p) = -5*p**2 + 3*p. Let x(h) = 10*h**2 - 7*h - 1. Let c(u) = 7*n(u) + 3*x(u). Determine -5*c(d) - 3*z(d).\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - (-5 - (15 - 4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36265513?\nAnswer: 37, 980149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/4 - 15*q**4\/4 + 73*q**3\/2 + 951*q**2\/2 - 4177*q\/4 + 2145\/4 = 0.\nAnswer: -15, -13, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 15205 (base 7) to base 2\nAnswer: 1000001111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 - -90. List the prime factors of l.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 3, -117, -5 in decreasing order.\nAnswer: 3, -5, -11, -117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000336677546 to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -12*(-24548)\/(-8670).\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 52221115 - 140.\nAnswer: 52220975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7 = -2*f. Suppose 12 - f = -g. Calculate the remainder when (-384)\/(-10) + g\/((-75)\/(-6)) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-13 + (8 - (10 - 13))) - 16.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w + 42. Let j be m(-14). Let r be j\/77*-1*(-1)\/(-2). Which is the biggest value? (a) r (b) -3\/5 (c) 2 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 + 32\/18. Suppose -5*y = 3*j - 9, -j - y = -k*j + 11. Suppose 0 = j*t + 6 - 22. Calculate the lowest common multiple of t and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18130*j + 5980 wrt j.\nAnswer: -18130","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ujujvvjvvjjjvjjvjjj. Give prob of sequence vvv.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1734, -1738, -1742, -1746, -1750?\nAnswer: -1754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -100327, -103345, -106353, -109345, -112315, -115257?\nAnswer: -118165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*u - f + 8 = 0, 0 = 3*u - 4*f + 19. Suppose w + 6 - 1 = 0. Let s = w + 7. Put -2, s, u in ascending order.\nAnswer: -2, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 1\/14, -5 in ascending order.\nAnswer: -5, 1\/14, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 u when three letters picked without replacement from {u: 12, o: 3, s: 1}?\nAnswer: 99\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g**(-1\/2)\/g)\/g)\/(g\/(g*g\/(g**(-12)\/g*g*g)*g)))\/(((g**(-4\/7)\/g)\/g)\/g*g**10))**(-13) assuming g is positive.\nAnswer: g**(-741\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 5*g - 15 = -2*p, -2*g = 5*p - 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**3 - 15*s**2 + 86*s + 105. Give o(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3233.5 + -5820.9. Round b to the nearest ten.\nAnswer: -2590","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 611633387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 2 + 1\/60*k**5 + 0*k**3 + 0*k + 0*k**4 + k**2. Let c(a) be the second derivative of q(a). Let m(g) = -g**2. What is c(m(o))?\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-3)*(-144)\/12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6456 (base 11) to base 4\nAnswer: -2011103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/28)\/(540\/1260)*(-2)\/(-8).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 5)*(-1 + 1 - 1)*(-1 + 2*c + 1).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -2*p + 9. Let q be z(-4). Suppose 240 = q*k - 15*k. Is k a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -32009*r**2 - 215012 wrt r.\nAnswer: -64018*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -374 + 134 = -44*m + 4*m. Let t(y) = 9*y - 42. Let f(j) = 3*j - 14. Let i(a) = 8*f(a) - 3*t(a). Give i(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 + 16247035?\nAnswer: 16247055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -4*t - 130. Suppose 2*r - 102 = -t. List the prime factors of (2\/(-4))\/((-1)\/r).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -1\/4, 1\/41, 2\/17, 5 in increasing order.\nAnswer: -1\/4, 1\/41, 2\/17, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*p - 67 = 0, 2*z + 57 = -4*p - 7. Suppose 0 = -5*l - 105 - 100. Which is greater: l or z?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (9\/(-3))\/3 - -6. Suppose 385 = c*i - 5*m, 3*m + 25 = -5*i + 394. Calculate the greatest common factor of 15 and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 12 = -298*l + 294*l, -2*g - 9 = -3*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of d**3\/3 - d. Let t(s) be the second derivative of -25*s**3\/3 + 7783*s. What is n(t(p))?\nAnswer: -100*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 234\/7 + -15231\/455. Let p = 1478\/3 - 7258\/15. Find the common denominator of p and w.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48356363?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Total of 158.9 and -175997.92.\nAnswer: -175839.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10419134*h**5 - 2*h**4 - 13533872*h wrt h.\nAnswer: 208382680*h**3 - 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0)*(-6)\/48*-8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 4 = o - 2*g, 2*o + 6 = 2*g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*((-225)\/18)\/(-25).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60710 is divided by 28?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-2)*b)**(-4\/5)\/(b*b*b*b*(b\/(b*b\/(b\/(b\/b**(-1\/2)))))\/b*b\/(b\/b**5*b)*b*b) assuming b is positive.\nAnswer: b**(-107\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 298 is divided by (192\/20)\/(1\/15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/9789 and (-2)\/24*((-399)\/(-95) + 25)?\nAnswer: 97890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x**2 + 3*x + 5*x**2 + 0*x**2 - 10*x**2 - 6*x**3 + 1. Calculate the remainder when 79 is divided by i(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271 + 163 = 18*d for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/120*6*25.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/7723131 and 7\/47.\nAnswer: 362987157","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (0\/(-2 - 1))\/2. Suppose 4*j - 289 - 147 = p. Let z = 77 - j. What is the common denominator of -56\/3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.048?\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/18628493 and -21\/4693.\nAnswer: 353941367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -3499\nAnswer: 1\/3499","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(396)*1*-5 + ((sqrt(396) + -2)**2 + 3)*3.\nAnswer: -102*sqrt(11) + 1209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 - 208*g - 3466. Let p(b) = -30*b**2 - 2082*b - 34659. Let a(z) = -21*k(z) + 2*p(z). Factor a(f).\nAnswer: 3*(f + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.2, 7, 0.4, -112?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.3 (b) 4\/3 (c) 421\/58 (d) 0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -5*u. Let z(a) = a**2. Let r(l) = 2*l**2 + 10. Let b(i) = r(i) - z(i). Let p(f) be the first derivative of b(f). Determine p(x(h)).\nAnswer: -10*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 2*o - 43 = 5*p - 7*o - o, 54 = 6*o - 9*o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p - 2*n = p + 65, 5*p - 803 = -n - 849 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 AM and 2:33 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 216 + -3238\/15. Which is the second smallest value? (a) -4 (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (6438\/203)\/6?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1176399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5263?\nAnswer: 19, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - sqrt(152)*-3*4)\/sqrt(8).\nAnswer: 13*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-812)\/55 - 68\/(-187) - -13?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 6*x - 25 = x, -4*x = 3*g - 20. Let i = 56 - 34. Suppose -4*b + 3*r = -g*b - i, -3*b - 4*r + 4 = 0. Put -2, 2, b in decreasing order.\nAnswer: b, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2948, -3040, -3132?\nAnswer: -3224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -155 + 279. Suppose -o - 5*i = -46, -o + h = 3*o + 5*i. Let y = -20 + o. Let d(x) = x**2 - 5*x + 9. Determine d(y).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -11?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -8, -17, -26, -29, -20?\n\"Answer: t**3 - 6*t**2 + 2*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*a + 12388, 4*a - 50*g + 53*g = 9911. Calculate the least common multiple of 160 and a.\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*l + 25, 4*l + 5 = g - 1. Suppose 2125 = g*j - 3965. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33037 (base 8) to base 5\nAnswer: 420410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p**5*p*p))\/p**(2\/47))**25)**(-47) assuming p is positive.\nAnswer: p**7100","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94526?\nAnswer: 2, 151, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535 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: Two letters picked without replacement from ihhojhhhrchjjrj. Give prob of sequence jc.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 (base 11) in base 12?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3585 is divided by 277?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31187, -52536, -73895, -95270, -116667?\nAnswer: -138092","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -369, -360, -351, -336, -309, -264, -195?\n\"Answer: j**3 - 6*j**2 + 20*j - 384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26695, 26690, 26685?\nAnswer: 26680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -5. Let x = 1042\/5 + -4193\/20. Which is the nearest to 0? (a) w (b) x (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -5*t**5 + 55*t**4 + 920*t**3 - 11140*t**2 + 8160*t + 20160 = 0.\nAnswer: -14, -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of a**4\/4 - 11*a**3\/3 + 11*a**2\/2 - 4*a - 9. Let j(x) = -x + 1. Let m be j(-9). Let s be z(m). Solve -5*r - s = 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ria when three letters picked without replacement from {n: 2, i: 2, a: 1, r: 4}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -4*w**3 + 2*w**2 - 9*w + 13. What is the units digit of d(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30 - -61. Suppose 48*y + x = 55*y. Let l(z) = -8*z - 2. Let r be l(-2). Is r smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.1 and -1657.\nAnswer: -3479.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, n: 5, z: 3, y: 3}. What is prob of sequence znyy?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(-l + 0*l + 0*l) - 5*l + 3*l - l + 2*l - 3*l + 4*l + (-3 + 0 + 5)*(2*l + 4 - 4).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3841*o + 3846*o + 3877*o - 11564*o + 0*o**2 + 15*o**2.\nAnswer: 15*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 not equal to -196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**2 - x - 1. Let u(c) = 6*c**2 - 5*c - 5. Calculate -15*q(h) + 3*u(h).\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 3*a - 5. What is j(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-18804)\/(-10969)*21\/(-66)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 + 296\/(-72) - (-331)\/(-18). Is n greater than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**2 + 6*g - 2. Let t be z(-6). Let v = -15 + 37. Let k = t - v. What is the remainder when k is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, r: 5}. What is prob of sequence bbr?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 22386?\nAnswer: 67158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123, 241, 357, 471?\nAnswer: 583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + -32. Suppose j*k - 6*k + 12 = 0. Let u = k + 12. Solve -5*r + 2*p - u = 0, 0 = r - 4*r + 3*p - 9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z. Let t(k) = -2 + 46*k - 9*k - k + 52*k - 2. Calculate t(x(q)).\nAnswer: 176*q - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z**3 + 5*z**3 + 12*z**3.\nAnswer: 12*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 + -2 - 1 - -14) + -5?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 310688.6 millilitres?\nAnswer: 310.6886","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -430*j + 440*j + 60 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - -9) + -4 - (-32)\/(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 9*v - 8*v - 16, -m - 5*v = -17 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 16*z**2 + 15*z + 39. Let h be q(17). Find the second derivative of o + 3 - 2 - 3*o**h - 4*o**5 - 2*o**2 + 1 wrt o.\nAnswer: -140*o**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/3 + 47544*t**3 + 142636*t**2 + 427912*t\/3 + 47546 = 0. What is t?\nAnswer: -1, 71319","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*y - 238 + 340 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -187*a + 109*a + 84*a. Let u(t) = -10*t**2 - t**2 - 3*t**2. Give u(m(b)).\nAnswer: -504*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -397 + 337. List the prime factors of (16 - d)\/((-3)\/(-12)).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30153389 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c**2. Let d(b) = 18*b**2 - 39*b**2 + 25*b**2. Let j(f) = -3*d(f) - 10*y(f). Let m(p) be the first derivative of 2*p**3\/3 - 4. What is j(m(l))?\nAnswer: -8*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 291 is divided by 152?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.1, 1, 32351, 3\/10?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 AM and 10:55 AM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -4*o + 28, 38*s + 31 = s - o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 3. Let y = 371 - 366. Let j(v) = -v**3 + 8*v**2 - 3*v - 12. Let r be j(y). Calculate the highest common factor of r and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 13 = -3*l - 15, 4*l = -5*s + 1 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -48214 + 48210. Let y = -619\/4 - -154. Which is the nearest to 0.09? (a) y (b) 2 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10647?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*k = j + 25, 2*j - k + 15 = 0. Let a(i) = 4*i**2 - 8*i + 5. Let s be a(1). Put s, -3, j, -4 in decreasing order.\nAnswer: s, -3, -4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 7. Let m = -0.024 + 0.124. Let z be 16\/(-36)*(-6)\/4. Which is the third biggest value? (a) m (b) z (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 653913883?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100*p = 56*p + 2376. Let j be 4\/12 + 13\/(-3). Calculate the remainder when p is divided by (66\/8)\/(-3)*j.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 6*n**2 - 5*n + 3. Let h be t(5). Put h, -5, 1 in descending order.\nAnswer: h, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b - 6*r = -50*r + 1684 - 1652, 6*r - 3*r + 8 = -b for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 15*i**2 + 105*i - 107. What is t(20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 54168 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 923571311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135649, -273388, -411127?\nAnswer: -548866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 6 = -0. Suppose -1 = -5*o - 4*j, 2 = 4*o - 5*j - 7. Let d = -1 + o. Solve t*q + d = -6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, 2\/15, -5\/4, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 113*(-87)\/12 + (-4)\/(-16). Let u = r + 891. What is the smallest common multiple of 72 and u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 769 + p - 756 + 332 + 0*p + 238.\nAnswer: p + 583","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1381\/723715 or 0?\nAnswer: -1381\/723715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seventy-two fifths of a gram?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z. Let f(l) = 155*l. Suppose -3*w - 5*o = -3*o + 12, -3*o = 0. Determine w*f(t) + 90*a(t).\nAnswer: 10*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the third derivative of -3*i**4\/8 + 73*i**3\/6 + 2*i**2 + 58. Let f be g(7). Solve 10 - f = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**5\/5 + 17052*s**4\/5 + 24500508*s**3\/5 + 761529792*s**2\/5 - 7272631872*s\/5 + 3066729984 = 0. What is s?\nAnswer: -2826, -40, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 885 - 267. What is the highest common factor of 10 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9811067062 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-22) + 14\/(-77) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -m - 0*m. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348654 is divided by 347868.\nAnswer: 786","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-78)\/104*(-8)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**3 + 2*f**2 + 2*f - 2. Determine r(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3*c - 12, 2*c = 3*q - 30. Suppose -q = -4*j + 2*j. Let v(y) = -4 + j*y - 3*y + 5 - 4. What is v(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t - 19. Let f(d) = 3*d - 28. Let g(z) = 5*f(z) - 7*u(z). What are the prime factors of g(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 5*p - 21. Give s(0).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 18 - 13*v - 1 - 3*v + 3*v**2 - 2*v**2. Let m be l(15). Factor 1\/3*t**3 - 1\/3 - t**m + t.\nAnswer: (t - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 358377?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w**2 + 587731136*w - 21589243013990656 = 0 for w.\nAnswer: 73466392","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*s = 352*s - 30. Solve -4*q - 5 = h, 0*q + h + s = -3*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3276)\/312*4\/7?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 19*v + 22. What is n(15)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4930, 5063, 5242, 5467?\nAnswer: 5738","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a - 2. Let t(d) = -2*d + 1. Let w(r) = 6*o(r) + 13*t(r). Let y be w(-1). Solve -y*g = -4*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -x**4\/12 + 4*x**3\/3 + 6*x**2 - 13*x. Let l be g(9). Let p = 12 - l. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 + 12*z - 141. Calculate the remainder when 543 is divided by c(-22).\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 8:52 PM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from frrgrrfrrlrggrljmfjf. What is prob of sequence gl?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 11, 26, 47, 74, 107, 146?\n\"Answer: 3*c**2 + 6*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 667156, 666731, 666308, 665887, 665468?\nAnswer: 665051","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (7 + -16 + 9).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1055*o**2*w + 1106762*o**2 - o + 10999*w - 1 wrt w.\nAnswer: -1055*o**2 + 10999","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 138.34 and 3.\nAnswer: 141.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/2)\/((-4)\/(-8)) - 129. Let b be (-26)\/65 + a\/(-5) + 1. Let g = b + -1. Does 5 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = -4*t - 158. Suppose -2*p + c + 169 = 0, 4*c = -p - c + t. What are the prime factors of p?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2. Let j(m) = 15352*m**2. What is w(j(k))?\nAnswer: 1414103424*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*v = 3*q - 117, 8466*v - 4*q = 8465*v + 32 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -115 + 109.2. Let t = 5.05 - 0.05. Let h = v + t. What is h rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*w + 28*w - 588 = 29*w for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5763 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in nine tenths of a micrometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 7:50 PM?\nAnswer: 49","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 7*a + 5. Suppose h - 5*h - 25 = j, -j - 10 = h. Let m(k) = -5*k - 4. Let q(w) = j*m(w) - 4*g(w). Let s(z) = 4*z**2. Determine q(s(n)).\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9*b - 2 + 2)*(-4*b + 0*b + 2*b) + b**2 - 10*b**2 + b**2 + (-4*b**2 + 3*b**2 - b**2)*(-2 + 2 - 1) + b**2 + 9*b**2 - 2*b**2 + 0*b**2 + 4*b**2 + 0*b**2.\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2.341 times -12487\nAnswer: 29232.067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 41*k**2 + 39*k**2 - 107*k**2 + 46*k**2. Let u(t) = -2*t. Determine u(r(n)).\nAnswer: -38*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of (2281\/2)\/((-7)\/(-28))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 431 a factor of 2110133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -2*u - 1. Factor -u*j**3 + 0 + 16\/7*j**2 + 8\/7*j**4 + 16\/7*j.\nAnswer: 4*j*(j - 2)**2*(2*j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65 divided by 105?\nAnswer: 13\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + p - 12 = 0, -5*m = -3*m + 2*p - 14. What is the remainder when 34 is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 PM and 4:54 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 112 is divided by 30.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 2*l + 24 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/7)\/(x*x*x\/x**(1\/2)*x)*(x*x\/(x*x**(2\/3))*x*x)\/x**(-1) assuming x is positive.\nAnswer: x**(11\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 + v + 8*v + v**2 + 2*v.\nAnswer: 2*v**2 + 11*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a hour in minutes?\nAnswer: 18","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 is divided by 6\/4*(-93)\/36*-8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 504570639 to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/5 and -26.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 167246470?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -2*w + 4. Let b be s(3). Let f = b - -26. What is the remainder when 47 is divided by f?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 3, z: 9, f: 1, j: 4, g: 1}. What is prob of sequence zfgg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 62? (a) -17 (b) 0.02 (c) -2196 (d) -2 (e) -2\/19 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 1178 divide 21077954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s + 2*s - s)*(2*s**3 - 11*s**3 - s**3) + s**4 - s**4 + s**4 to the form p + h*s + b*s**3 + t*s**2 + q*s**4 and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = 1 - 0, 3*n - 170 = -f. Is 23 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 5 + (1 - 2)*2. Suppose 2*u + 10 = -143*b + 148*b, -4 = -2*b + 4*u. Put -10, j, b in decreasing order.\nAnswer: j, b, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, -1\/5, 4, -2\/5 in descending order.\nAnswer: 4, -1\/5, -2\/5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5 - 0.5. Let l = u + 0.999922. What is l rounded to five dps?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/39)*y**(-5)*y**(-9)*y**(-9) assuming y is positive.\nAnswer: y**(-899\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*w**3 - 201*w**2 - 132*w + 84 = 0. What is w?\nAnswer: -1, 2\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 17111 or 23069?\nAnswer: 17111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 2 g when three letters picked without replacement from ddlg?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 7*o**2 - 10. Let q be c(-7). Let h be (2\/(-4) + 0)*q. Let w(a) = 3*a**2 - 9*a. What is the units digit of w(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.75 - 5.14. Let g = -2.4121 - o. Let r = g - 0.005. What is r rounded to three decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(4*(4 - (-71)\/(-18))). Suppose -16*w + 13*w = -9. Solve 0 + x = -w*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2707230095?\nAnswer: 5, 2707, 200017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from boobbhiosoboo?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 = -l - 28 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -688, -2, 1, 3.\nAnswer: -688, -2, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -2*k + p - 4*p, -3*k = -p + 2. Let d be ((-6)\/(-1))\/k + 2. Suppose 0 = -4*c + 32 - 12. Sort c, d, 4 in descending order.\nAnswer: c, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1716646 divided by -7?\nAnswer: -1716646\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, k: 1, y: 3, g: 1, r: 7, o: 7}. What is prob of picking 1 k, 1 w, 1 r, and 1 y?\nAnswer: 7\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8288077 to the power of 1\/2, to the nearest integer?\nAnswer: 2879","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33315 by 2221.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 5*k + 30, k - 73 = 2*o - 2*k. Let n(i) = -4*i - 75. Let j be n(-10). Is j >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 2*v = 45 - 12, -4*v + 55 = -5*w. Let t = 37 - 13. Let q = t + w. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*m = -27*m + 48. Calculate the least common multiple of m and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10054.\nAnswer: 2, 11, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 12*j + 50. Determine d(-17).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13002187 and 506?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 69261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the third derivative of 0*j**3 + 0*j**6 - 1\/945*j**7 + 0*j**4 + 5*j**2 + 1\/270*j**5 + 0 + 0*j. Determine n, given that b(n) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03304*1.13.\nAnswer: 0.0373352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -38. Suppose -4*z - 2 = h*r, 5*z + 3 + 4 = -3*r. Find the third derivative of -i**3 + r*i**3 - i**2 - i**3 - i**3 wrt i.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + l + 42, -l - 38 = -4*v + 2*l. Let m = v - -2. Suppose 3*a - 4*o = 82, 3*o + 3 = -0*o. Calculate the highest common factor of m and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7454 by 12.\nAnswer: 3727\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11 in 25\/11, -1.2, -3, 2\/3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 + 51*c + 310. Determine j(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2189642 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 5*m - 7 + 62, 3*m = -4*s - 88. Let t = 7 + s. Is 4\/(-18) + (-562)\/t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the first derivative of -1918*p**3\/3 - 561*p**2\/2 + 952. Find the second derivative of b(h) wrt h.\nAnswer: -3836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 3*m. Suppose m = -b - 2*b. Let f(t) = -t**3 + 25. What is the remainder when f(b) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-596*b**2 - 586*b**2 + 1302*b**2)*(4*b + b + 3*b) to j*b**3 + n*b**2 + f*b + l and give j.\nAnswer: 960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - 54\/(-20))\/((-15)\/25).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -36278 times -0.01?\nAnswer: 362.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or 5643?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*d**6*n + d**4 + 13440*d**3*n - d**2*n + 1224*d**2 - 1655*d*n - 2*d wrt d?\nAnswer: -1680*d**3*n + 24*d + 80640*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 927297 and 1457181.\nAnswer: 10200267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166 is divided by 101?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -14458 times 0.00574?\nAnswer: -82.98892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 250 = -4*i, 19*i - 10033*n + 150 = -10036*n for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-7)\/(g*g**(-1\/5))*(g**13\/g)\/(g**7*g) assuming g is positive.\nAnswer: g**(-19\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yvy when three letters picked without replacement from yyvyyyvvyyyyyyyyvyy.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**2 + 11. Suppose -2*k = 5*c - 6, -3*c - 3*k - 12 = -6*c. Let n(v) = 8*v + c - 5 + 3. Determine n(f(u)).\nAnswer: -16*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:49 AM and 8:46 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 5*t - 31. Let o(l) = -4*l + 8*l - l - 76 + 11*l - 17. Give -17*j(p) + 6*o(p).\nAnswer: -p - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z = 7*z - 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**(3\/5)*w*w**(-2))**(1\/49) assuming w is positive.\nAnswer: w**(8\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6 - -5.99. Let a = m + 0.0185. Round a to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 3463084*t - 1 + 1 - 3462669*t.\nAnswer: 415*t + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i - 2*m - 10, 2*i - m = -4*m - 13. Let b be -2 + 11 - 2 - 0. Suppose 2*y + 15 = b. Put i, -1, y in increasing order.\nAnswer: y, i, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -230, -133, 28, 253, 542, 895, 1312?\n\"Answer: 32*v**2 + v - 263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -6\/7 (b) -1\/4 (c) -0.19 (d) -3.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.35456 + 3.05456. Which is the biggest value? (a) -2 (b) w (c) -0.4 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 5*t**2. Let m(k) be the third derivative of 11*k**5\/60 + 13*k**2. Determine w(m(y)).\nAnswer: 605*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1771 and 143?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 = 5*d - 5*v, 2 = 5*d - 3*v - 40. Suppose 2*w - d + 0 = 0. Solve -4 + 1 = w*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -13*d**3 - 2*d + 2. Let v be c(1). Let h = -12 - v. Calculate the highest common factor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -4106470.\nAnswer: 1\/821294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -3*f - 35. Determine z(-15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 168\/37 - 9521\/1665. What is the common denominator of o and -46\/27?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 6)*(-2*o**3 + 7*o**4 + 2*o**3).\nAnswer: 21*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y - 10. Let v be (-11)\/(132\/(-16))*(2 - -1). Let i be k(v). Suppose -i*q + q = -56970000. Round q to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 22 + -13be?\nAnswer: -139c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/13)\/(d*d**3)*(d**(-1))**(2\/29))\/((d**5*d*d\/(d\/d**(2\/17))*d)\/(d\/d**(-6)*d**(-2\/11))) assuming d is positive.\nAnswer: d**(-297124\/70499)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -81*o + 49. Let b be c(6). Let l = 433 + b. Sort 0, 5, l, -10 in increasing order.\nAnswer: -10, l, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -19 (b) -22\/9 (c) 5 (d) -2\/21 (e) 73\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide (-4)\/((-12)\/45) - 0?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -46 + 46 + 38*s to w + x*s and give x.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1620\/(-468) + 18\/39?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 135*a - 130*a - 400 = 0, 28 = 4*a. Sort w, 12, -2 in decreasing order.\nAnswer: 12, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1756*h = -2704*h - 7584 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - v - 15 = -3, 9 = -4*l + v. Which is smaller: l or -13\/5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 667 - 409?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t + 18. Let h be f(4). Suppose -40*b + 5*b**h - 233 + 0*b**2 - 3*b**2 + 433 = 0. Calculate b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-11))\/(232*(-13)\/(-199056)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h + 3 + 5*h**4 - 3 + 7*h**4 - 12*h**3 + 14*h**3 to f*h**2 + x*h**3 + r*h + s*h**4 + z and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d**2 + 0 - 5*d + 0*d + 4*d**2 - d**3 + 3. Let v be u(5). Let r be v - (3 + 16\/(-4)). Solve 0 = 4*p - p, 2*z + 6 = -r*p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 3*v + 1. Let w be z(-1). Let b be -2*(-5)\/4*w. Suppose -4*o + 6 = -o. Sort b, o, 4 in descending order.\nAnswer: 4, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -618 + 2557. Suppose j = 5*l - 2*p, -l - 4*p = -0*l - 401. List the prime factors of l.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 3)\/(6\/12). Suppose -5*m = v - 18 - 7, 5*v - 41 = -b*m. Solve -2*g = -5*k + 3, g + v = 4*k + 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-3 - (-3 + -3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/19)*z*z**2\/z*z)\/((z\/((z\/(((((z\/((z**(-2\/23)\/z)\/z))\/z)\/z)\/z)\/z))\/z*z)*z)\/z**(-2)) assuming z is positive.\nAnswer: z**(353\/437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 8*r + 98. Let m be v(-12). Which is the smallest value? (a) -1 (b) -2 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 37 - 33. Suppose u = z + 5. Let y(x) = 3*x**2 + x. Determine y(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5641 a factor of 55033596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 98*a**2 - 90*a - 684. Determine i(97).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*153\/68*2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158879 is divided by 54.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 32 = 4*d, -46 = 5*w + 2*d - 3*d. Let l = -10 - -4. Let x = l - w. Solve -3 = -b, -x*i + 5*b + 0*b = 3 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -44d002 - 3?\nAnswer: -44d005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -188, -376, -564, -752, -940?\n\"Answer: -188*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -44182 + 44181.07255. Let j = -0.86545168 - t. Let m = j - 0.062. Round m to seven dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0035133 to 3 decimal places.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 2*z - 0*z - 2, 2*w + 3*z + 2 = 0. Let h be w\/(-12) + 217\/42. What is the second derivative of 10*u + 5*u**5 - h*u + u**5 wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30595, 61253, 91911, 122569, 153227?\nAnswer: 183885","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 27\/((-81)\/(-6))*(-7)\/2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 3 = 11 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6 + 120\/70 + -8. What is the biggest value in -4\/3, o, -3\/11, 4, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -15*j**3 + 5*j**2 + 11*j - 2. Give q(-2).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z**3 - 5*z**2 + 5*z + 5. Let q be v(-7). Let h be (-1)\/(2\/(-74))*12. Let m = q - h. Round m to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0\/(-3*(-2)\/6). Suppose 3 + 4 = 5*g - t, 3 = 3*g - t. Let l = 4 - g. Solve c + l*c = b for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13214650.6 rounded to the nearest 1000000?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.472 - 0.872. Sort 3, m, 3\/5, 2\/5 in ascending order.\nAnswer: m, 2\/5, 3\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 113, 3, -39378 in decreasing order.\nAnswer: 113, 3, -39378","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 2*g**5\/5 - 3*g + 11. Find the first derivative of m(b) wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*k + 3 = -154*k. Let v(g) = 1. Let y(t) = t - 3. Let h(a) = 3*v(a) + 2*y(a). What is h(k)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**2 - 7*c - 7. Suppose 2*g = -4*o - 0 + 16, -g = 0. Let y = -1 - o. Let s be w(y). Solve -5*b + 4 = -s*b, 13 = z + 4*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q + 6. Suppose 4*k = 5*m + 39, 5*k - m - 17 = 16. Let y be l(k). Are -1 and y equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + 8*l**4 - 22*l**2 + 1 - 9*l**4 + 21*l**2. Let c(n) = -8*n**4 - 12*n**3 - 7*n**2 + 9. Let z(v) = -36*b(v) + 4*c(v). Factor z(r).\nAnswer: 4*r**2*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -200 - 3?\nAnswer: -203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*3*4\/30. Suppose -54 = -5*h + t*h. What is the greatest common factor of 9 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-31)\/(930\/(-200)) - 1\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -12*g - 12*g + 4*g**3 + 9*g**2 - 2 + 17*g - 5*g**3. Let j(l) = -5*l**3 + 45*l**2 - 34*l - 11. Let z(r) = -2*j(r) + 11*w(r). Calculate z(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/32 and 49\/26257276?\nAnswer: 210058208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -b*j**3*q**3 + b*j**2*q**2 - b*j**2*q - 3082*b*q**3 - 2*j**3*q**2 + 60*j**3*q + 4*j**2 + 3*q**3 wrt q.\nAnswer: -6*b*j**3 - 18492*b + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2121.69219196 from -14.\nAnswer: -2135.69219196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 43*w**2 - 16*w + 23. What are the prime factors of x(-6)?\nAnswer: 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8445, 16889, 25333, 33777, 42221?\nAnswer: 50665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:57 AM and 2:13 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 2687000 to the nearest one hundred thousand.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4024.99541 + 4025. Round v to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.09 - -2.09. Let k = b - 2.00000018. Round k to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92\/19 - (-2838)\/17974?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14340 = -306*w - 411*w. Solve -583 + 403 = -w*p for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**3 - 3*v + 2. Let q be d(2). Suppose -4*s + q*i = 0, -5*i = -s + 13 - 1. Let z = -47 - -46. Is z at least as big as s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 3*s = 36, -2*p + 16*s + 4*s - 1219 = -1189 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, -11, -3, 19, 61, 129, 229, 367?\n\"Answer: q**3 - 2*q**2 - q - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.1 minus 0?\nAnswer: 13.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {o: 4, e: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5390*k + 5391*k + 211 = -19*n, -2*n = 27*k + 76 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 10:47 AM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8724390 and 2768.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/136 and -53\/4.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 40.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 685.251 + -743.33. What is i rounded to the nearest integer?\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 813 - 292. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the second derivative of -587*u**5\/20 - 53*u**4\/12 - u**3\/3 + 136*u - 1. What is the third derivative of j(t) wrt t?\nAnswer: -3522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -98836, -197689, -296542, -395395, -494248?\n\"Answer: -98853*c + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d - 7*d. Is 2\/161 at most d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -1797*q**3 + 4*q + 1674. Let z(p) = -1797*p**3 + 3*p + 1674. Let w(d) = 3*n(d) - 4*z(d). Find the first derivative of w(t) wrt t.\nAnswer: 5391*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 4*q - 12 = 0, 3*q + 2*q = 3*t + 22 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421378986?\nAnswer: 2, 3, 7, 10032833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -168 - -7?\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20669, -41484, -62369, -83324, -104349, -125444?\nAnswer: -146609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8757 - 385343\/44. Find the common denominator of s and 65\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48951645 a multiple of 90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, x: 5, q: 2}. Give prob of sequence qqss.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 198 = -34*o + 23*o. Let x = 62 - o. What is the smallest common multiple of x and 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 4.98?\nAnswer: -2.49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 2743\/633*(-6450)\/325\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1200) - sqrt(1200))\/(sqrt(100)*6).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 23 - (23 + 15 - 20)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, 5, 9 in decreasing order.\nAnswer: 9, 5, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Let g be 18\/(-8)*32\/12. Let v = 4 + g. Put n, 2, v in increasing order.\nAnswer: v, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*n**2 - 4*n**2 - 2932 - 2933 - 2935 + 11821 - 3021.\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 16010569 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(50) + (3*sqrt(500))\/sqrt(10))\/((sqrt(120)\/sqrt(4) - sqrt(30))\/sqrt(6) + sqrt(5)))\/((sqrt(35) - sqrt(35)*4)\/sqrt(7)*-3*-3))**2.\nAnswer: 32\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -16*u**2 - 44*u + 16. Let d(c) be the second derivative of -c**4\/4 - 3*c**3\/2 + 3*c**2\/2 - 2*c - 2120. Determine -11*d(p) + 2*k(p).\nAnswer: p**2 + 11*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66 = 2*z + 5*x, 10818 = -12*z - 5*x + 11164 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2504 and 21\/(-2)*(-4 - (-192)\/72)?\nAnswer: 17528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 - -2. Let n be s - -2*(-1 - -2). Suppose n*q - 22 = -2*v + q, 4*q = -2*v + 14. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36427 - 23803. Suppose -h = -3*y - 3167, -8*y = -4*h - 7*y + f. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12093 to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10216 and 336716806?\nAnswer: 2554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of 67\/4*u**4 + u**2 + 54 + 0*u + 2*u**3. Find the third derivative of w(f) wrt f.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 20 + 4 + 24*y + (y + 1 - 1)*(3 - 7 + 3) + 2 - 2 - y)*(761 - 384 - 354)*(-4*y + y + y) in the form l + s*y**2 + t*y and give t.\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228929, -458461, -687993, -917525, -1147057?\nAnswer: -1376589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (20\/120)\/(6\/2628). Calculate the greatest common divisor of 803 and i.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 743 - 742. Sort 50, u, -1, -4 in descending order.\nAnswer: 50, u, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31.097 - 0.31?\nAnswer: -31.407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 656 a factor of 495902019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(21)\/(sqrt(847)*2) + sqrt(9)\/((sqrt(108) + sqrt(108)*1 - sqrt(108)) + sqrt(108) + sqrt(108)))**2.\nAnswer: 400\/3267","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of 14*q**3\/3 + q**2 - 4*q. Let t be r(3). What is the tens digit of t\/4 + 6\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 91 - 49. Let m = 47 - f. Sort -1, 0.4, m.\nAnswer: -1, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k + 169. Determine x(-69).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 37 - -56. Calculate the highest common divisor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(153)*-2 + -3 + -5 + sqrt(153) + 1 + sqrt(153)))**2*-4.\nAnswer: -4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 567 = -561 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*x + 2*x**3 + 4*x)*(-4 - x + 4 + (-5 + 3 + 4)*(2*x + 0 + 0) - 1 - 2*x + 1) to the form s + c*x**3 + o*x**4 + h*x + q*x**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -304b0 (base 16) to base 6\nAnswer: -4123440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3092512?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20 - -22. Suppose -5*t + 1 = -4, -4*v - 2*t = -22. Suppose v*a - 2*a + 15 = 0. Sort 5, a, u in increasing order.\nAnswer: a, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*g = -2*f + 2, 0 = -5*f - g - 15. Let u be (-2 + -1)*-1*f\/(-6). Calculate the highest common factor of u and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 13539370 = -4*r. Suppose -4*u = 67874 - r. What is u rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 AM and 1:11 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 + z + 1. Let s be h(-1). Suppose 10 = s*l - 40. What is the remainder when 73 is divided by l?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420927478 a multiple of 1414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 9101842 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.443 + -0.057. Let d be 0 - 3*-1*1. Put d, n, 0 in increasing order.\nAnswer: n, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 9 = -34. What is the remainder when 444\/(-8)*(-28)\/42 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h**3*r + 19189*h**3 - 10727425*h**2*r wrt h?\nAnswer: -6*r + 115134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvvvvvgvgvvvvv. Give prob of sequence ggg.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/(-3) - (-84)\/7. Suppose 2*c - 50 = -3*c + 5*b, -5*b + r = c. Let v = -17 + 22. Solve -2*p - 4*n + c = -v*n, 0 = -n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4727, -17527, -38857, -68717?\n\"Answer: -4265*k**2 - 5*k - 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*k**2 + 6*k**2 - 7*k**2)*(2498*k + 1839*k + 1112*k + 287 - 287 + 119*k).\nAnswer: 50112*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(2\/7)\/h)\/(h**(-7)\/h)*h*h**2\/h*h*h\/h**(-2))\/((h\/(h*h\/h**2*h)*h*h**(-5))\/((h**4\/h)\/h**3)) assuming h is positive.\nAnswer: h**(121\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 m when three letters picked without replacement from {y: 1, w: 1, m: 5, e: 2, h: 3}?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.326 + -0.726. Let d = -61.29 + 61. Let z be (-26)\/40 - (-2)\/5. Which is the nearest to z? (a) d (b) t (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 9 - 2 = 0. Let t = o - 12. Let a be (5 - t) + (-2)\/2. Put 0, a, -5 in decreasing order.\nAnswer: a, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14590 - 14472. What is the remainder when z is divided by 77?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence frr when three letters picked without replacement from eiierrfreao?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12*p**2*q + 250221*p**2 - 4432*p - 2*q + 31 wrt p?\nAnswer: 24*q + 500442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(140)\/sqrt(7))\/(-2*sqrt(400) + sqrt(4)) + (-4*-2*sqrt(180) - (5 + (sqrt(180)*-1)**2)).\nAnswer: -185 + 911*sqrt(5)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 28. Let i be a(11). Let q be (2 - 6) + (-3 - i). Let f be (-4)\/((-2 - -3)\/q). Solve 0 = f*p - 12, 0*n - 4*n = -p - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - 14) + 21 - -4\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 312187889 and 6773.\nAnswer: 6773","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -471, -1967, -4461, -7953, -12443, -17931?\nAnswer: -24417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 328961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 11) to base 13\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 49959 and 49959 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 42 - 142. Let n = 76 + o. Is n a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3 = 0, 3*o = -11*c + 14*c - 3. List the prime factors of 16\/2 - (c - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - b + 0*b)*(-16*b**3 + 22*b**3 + 22*b**3) + (b + 2*b - 6*b)*(-3*b**3 - b**3 + 5*b**3).\nAnswer: -59*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -7*y + 10. Let q be s(6). Let a = q + 34. Solve 0 = m - 3, 5*m - a*m - 1 = -4*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*d - 6 = 1, 2 = -2*d. Suppose -3*x = -c - 78, l*x + c + 0*c = 122. Does 10 divide -2 + 1 + (x - -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -4, 2*j - 2 = 3*f + 5. Calculate the common denominator of 178\/(-4) + f + -1 and -95\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(10\/(-15))\/(20\/6). Let c = -0.1 - -1.1. What is the closest to g in c, -3\/4, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 134158, 134166, 134186, 134224, 134286?\n\"Answer: c**3 + c + 134156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14286 at least 28569\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p**2 - 2 + 2 + 19*p - 19*p - 3*p**2 + (5*p - 3*p + 0*p)*(p + 4 - 4))*(-2713 + 1756*p + 2713) as t + y*p**3 + u*p + f*p**2 and give y.\nAnswer: -5268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 6*v - 1. Let x(d) = -6 + 16 + 3 + 2 + 3*d**2 - 16*d. Calculate the remainder when x(6) is divided by p(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 + -26)\/((-4 - -9)*12\/50).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7061 + 852. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.89 + 24.89. What is the fourth biggest value in d, -0.2, 8, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/7)\/k**16 assuming k is positive.\nAnswer: k**(-111\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/14117 or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2124 = -5*i. Let u = -155 + i. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u + 450 = 16*u. What is the highest common factor of u and 1775?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2717 is divided by 339?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 AM and 12:55 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of 0*m**3 + 90*m**2 + 0*m + 0 - 1\/24*m**4 - 7\/20*m**5. What is w(1)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 + 14. Which is the nearest to -0.1? (a) w (b) -5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**3)\/(d**(11\/5)\/d)*d*d*d**(-27)*d**(2\/73))**(-22) assuming d is positive.\nAnswer: d**(226226\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -464710473 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-448)\/12)\/(-8))\/(1568\/2688).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -763*b - 450*b + 2048*b + 2597*b to a + i*b and give i.\nAnswer: 3432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2625?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-15)\/45*(-1 - 29) and 878.\nAnswer: 4390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 77 - 5?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o - 3. Let p be c(-3). Suppose 0*j = 3*j - p. Let z(h) = h**2 + 3*h + 0*h**j + 3 + h**3 - 5*h**2. What is z(3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/3*(111 - 108).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2619, 2601, 2583, 2565, 2547?\n\"Answer: -18*b + 2637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19083 = -17*s + 54611 + 58176. What are the prime factors of s?\nAnswer: 2, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 35 + 43 = 0. Find the second derivative of -a*h**5 - h**2 - 182*h**3 + 19*h + 182*h**3 wrt h.\nAnswer: -160*h**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -421, 14, 449, 884?\n\"Answer: 435*b - 856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**8*n*n\/n**26*((n*n**(-25))\/n)\/(n\/n**(-8)))**1 assuming n is positive.\nAnswer: n**(-49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -12. Let j be 48\/3 + (f - -1). Suppose j = 2*r + 7. Solve -r*m - 26 = -6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 3*h = -205, -43*r + 0*h - 4413 + 5928 = -3*r - h for r.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/6 + (-8)\/2. Let k be 72\/45 + y\/(-10). What is the third derivative of 3*z**5 + 2*z**3 - z**k + 4*z**2 - 2*z**3 wrt z?\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -7 and -1.493?\nAnswer: 10.451","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7703.036 - 7705. Is m >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 117 - 55 + 9258*t**2 - 1362*t**2 - 62 as z*t**2 + f + o*t and give z.\nAnswer: 7896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/8 (b) 0.7 (c) 0.4 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1321, 1320, 1323, 1330?\nAnswer: 1341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, e: 18}. Give prob of picking 2 e.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 956789227 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-8)\/18 + (-170)\/(-180). Which is the smallest value? (a) k (b) 2\/7 (c) 104\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f + 3*f + 8*f.\nAnswer: 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 988*t + 76. Let c be l(4). Is (-1)\/((-10)\/c) + (-24)\/(-120) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21241748.\nAnswer: 2, 11, 482767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75 is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/54? (a) 4 (b) 11.5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 423, 2, 222, -3 in ascending order.\nAnswer: -3, 2, 222, 423","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2843038047 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4284.01 * 1.\nAnswer: 4284.01","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 12\/13, 4?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4232101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1067.439 - 1069. Let x = -1.5 - u. Which is smaller: 0 or x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28644980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/255958 and 79\/23470.\nAnswer: 3003667130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7)*q)**(-1\/29)*(q**(-4)\/q*q)**4 assuming q is positive.\nAnswer: q**(-3253\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 8*b - 218. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22\/(-4) - (-99900)\/200?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (21\/(-12))\/((-2)\/8). Let n = 11 - s. Suppose 0*g = n*g. Is -1\/8 at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 - 66. Let y = -91 - c. Is -8 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1192 and 11?\nAnswer: 13112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4\/5 + 1196*a**3\/5 + 12126*a**2\/5 + 20656*a\/5 + 9728\/5 = 0. Calculate a.\nAnswer: -8, -1, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/3 + 49117*v**2\/3 + 196480*v\/3 + 196484\/3.\nAnswer: -(v - 49121)*(v + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 2523*s + 15122. Let m be c(-6). Solve 1062*l - 1057*l + m = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 21*b**2 - 630 + 3*b + 630.\nAnswer: 21*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 54\nAnswer: -270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 84 = 7*y. Suppose 4*z - y = -4*a, z + 9 + 2 = 5*a. Let u(k) = 32*k**2 - 11. Is 28 a factor of u(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280 minutes before 5:12 AM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.11 + 6.89. Let w = -6.9946 + r. What is w rounded to 3 dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1125*h**4*t**3 + 2*h**4 - h*t + 2*t**3 - 9*t - 2 wrt h.\nAnswer: 13500*h**2*t**3 + 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -q**4\/3 - 22*q**3 + 497*q**2\/3 - 338*q + 584\/3 = 0. What is q?\nAnswer: -73, 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01128166 to five decimal places.\nAnswer: -0.01128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 115.2 + -114.9. Suppose -i + 7 = -0*i. Let r = i - 15\/2. Which is the nearest to 1\/4? (a) x (b) r (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2069.90208ms?\nAnswer: 0.0000239572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1021819344 and 147?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6171 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= 84\/6493?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1 = z, -6*v = -5*z - 4*v + 22. Suppose z*n - 8 = 2*n. Solve 6 = -5*w - n for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 1554*n**2 - 3102*n + 1550.\nAnswer: -2*(n - 775)*(n - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 24 * 1308\nAnswer: 31392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4\/(f**0\/f))\/(f\/f**(2\/11)*f*f**(-5)) assuming f is positive.\nAnswer: f**(90\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26165\/175118637 - 20\/23979. Do b and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -19*r**2 - 1. Let y be 1\/(-1) + 3 + -4. Let g be m(y). Let j = 229\/3 + g. Which is the biggest value? (a) 0.5 (b) j (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16460 divided by 20?\nAnswer: -823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6626644061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 9977 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*k - k**2 + 0*k**2 + 7*k)*(-2*k + k**2 + 2*k).\nAnswer: -k**4 + 24*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -105*o*r**5 - 878*o*r + 5*r**5 wrt r.\nAnswer: -2100*o*r**3 + 100*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 75\/175 - (-22)\/14. Suppose 0 = -3*t - 2*j + 9, -6*t + 5*t + 3 = v*j. Solve -t*x = d + 2*x + 18, 0 = -2*x - 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 2*f**3 - 10*f**2 - 8*f - 28. Calculate z(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 19*o**2 + 23*o + 62. Let u be d(-20). Solve -t - 30 = -5*q, q - 2*t - 25 = u*t for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 1 + 2*w - 1. Let x(l) be the third derivative of l**4\/12 + 28*l**2. Determine s(x(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -9*w**4 - 24*w**3 - 54*w**2 + 24*w - 9. Let g(l) = -2*l**4 - 5*l**3 - 11*l**2 + 5*l - 2. Let r = 25 - 49. Let q(a) = r*g(a) + 5*o(a). Factor q(p).\nAnswer: 3*(p - 1)**2*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 7:04 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4670793 by -1737.\nAnswer: 2689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*g = 0. Let m = g + 2. Let c(y) = 0 + 2 - y**2 - m. Let o(z) = 5*z. What is c(o(q))?\nAnswer: -25*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b**(-1)*b)))**(1\/12)*b**3\/b*b**(-4)*(b**(-1\/4))**(6\/11)*b**(2\/5)*b**(-4\/5)\/b*b assuming b is positive.\nAnswer: b**(-279\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 v, and 1 q when three letters picked without replacement from {v: 1, e: 1, n: 1, q: 1, s: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2*t - 60 = 3*t, 3*t - 76 = -5*z. Suppose -19*q + z*q = -2715. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 6:01 PM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -1\/212 (c) 2\/3 (d) -43 (e) -2 (f) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110110000100 + -100?\nAnswer: 1110110000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 0.2, 0.07, 3\/4?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2164*t**3 - 5181*t**3 - 1680*t**3.\nAnswer: -4697*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5990522077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 5 = -u. Let g(r) = r**2 + r. Let x be g(-1). Suppose -u*b + 3*b + a = -51, a - 1 = x. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 117 (b) -4 (c) 0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q. Let d(z) = 11*z. Let x(u) = -155*u. Let h(n) = 85*d(n) + 6*x(n). What is h(s(c))?\nAnswer: -5*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 40*g + 248. Calculate x(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -118643 (b) -2 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1551?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -401, -801, -1201, -1601?\n\"Answer: -400*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1b1e5 (base 16) to base 15.\nAnswer: 22da2","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let q = -9.34 - 661.66. Let h = q + 676. Which is the nearest to 1\/4? (a) h (b) -2\/9 (c) 6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 22*j**2 - j - 165 + 17*j**2 + 166.\nAnswer: 39*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.965 - 0.035. Let i be -1 + 1 - (-5)\/(-30). Sort b, 0, i.\nAnswer: b, i, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 - 4*q**3 + 4*q**3 + (0*q - 4*q + 6*q)*(3*q**2 - q**2 - q**2) - 36*q**3 - 249*q**3 + 124*q**3 as s*q**3 + b*q + a*q**2 + c and give s.\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -f**5\/5 + 7*f**4\/3 - 10*f**3 + 18*f**2 + 9*f. Solve z(t) = 0 for t.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1258844704?\nAnswer: 2, 13, 73, 41453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 45 = -5*b, -3*b + 2*a = 4*a - 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/154973 and -45\/4696874.\nAnswer: 61059362","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100598?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -5, 1345\/2, 90, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12525 is divided by 232.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 668363 to the power of 1\/2, to the nearest integer?\nAnswer: 818","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) -5\/3 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 divided by -25?\nAnswer: 88\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1668*u + 3753*u + 9729*u to the form t*u + j and give t.\nAnswer: 11814","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2\/7 + 33*k\/7 - 90\/7.\nAnswer: -3*(k - 6)*(k - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -1619*d**2 + 810*d**2 - d**3 - 20*d - 14*d + 811*d**2 in the form x*d**2 + t*d + h + j*d**3 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*n + 687 + 881 = 0. What is the lowest common multiple of n and 56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6834\/15 + (-4)\/(-10). Let i be q\/45 + (-2)\/15. Let w = i + 4. List the prime factors of w.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 18. Let t = d - 9. Which is bigger: t or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 45096 and 17016.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63 - 48. Calculate the highest common divisor of s and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 27094?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/492 and 83\/9480.\nAnswer: 388680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -39639848225 and 3454?\nAnswer: 39639851679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - (-5 + (-4 - -2)). Let u = 8 - s. Suppose 0 = 3*p + 3*n - 24, 0 = -u*p + 6*n - 4*n + 4. Solve 0 = -l + 5 - p for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7622 + 7622.005069. Round p to four dps.\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 359190078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71 + -51. Suppose 3*n - 2*c = q, -5*n + 2*c = -20 - 12. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pssssspsysssskspp. What is prob of sequence ps?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*n**3 - 7*n**3 + 6*n**4 - 24*n**4 + 14*n**4 - 21*n**4 + (4*n - n**2 - 4*n)*(0*n**2 - n**2 - n**2) to l*n**3 + x + o*n**4 + m*n**2 + p*n and give o.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 39*d + 16*d)*(21 + 558 + 68) + 0 + 2*d + 0.\nAnswer: -14879*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/132 and -37\/66.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 780 and 312.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/u**(-26))\/((u*u\/(u**6\/u)*u*u)\/u)*u**(-1)\/(u\/u**(1\/18)*u) assuming u is positive.\nAnswer: u**(469\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**4 + q**4 - 14*q**4)*(1 - 3 + 0)*(0 + 1 + 1).\nAnswer: 60*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 488\/3 - 161. Suppose -2*o + 4*q + 24 = 0, 2*q = -o + 1 - 9. Does r = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -15*g**2 - 16*g. Let d(f) = -5*f**2 + 3*f. Let q(b) = 12*b**2 - 6*b. Let a(x) = 9*d(x) + 4*q(x). Determine -11*a(i) - 2*n(i).\nAnswer: -3*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-3\/5))**(1\/13) assuming y is positive.\nAnswer: y**(-3\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 28107 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 41310 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = p - 112. Calculate the greatest common factor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - 90*w - 3774. Determine x(-38).\nAnswer: -1798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 65b (base 14) to base 15\nAnswer: 58c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*j**2 - 23*j**2 - 8*j**2.\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: ((-93)\/31)\/(14*(-6)\/(-16))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 321786 = 9*v - 59861. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1875\/56 + 265\/7. Calculate the common denominator of 16\/7 and a.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - b - 7*b + 366*b**2 - 363*b**2 to a*b + y + h*b**2 and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k + k - 3*k + (-k + 0 + 0)*(-4 + 3 + 0).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -5*m - 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 197 = n, -n - 3*n - 300 = -5*t. Let f be (8 - 11) + (66 - 0). Which is bigger: t or f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0*s - 4*s + 7*s)*(104 + 207 - 1430)*(4 - 3 + 1)*(-s + 4*s - s) in the form y*s + w*s**2 + d and give w.\nAnswer: -13428","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -227138, -454298, -681458, -908618, -1135778?\n\"Answer: -227160*g + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = 3*f - 40589 - 33594, -123608 = -5*f - 4*h. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3980 divided by -199?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*g = -16*g - j - 1, g = 6*j + 21. Sort g, -1, -5, 0 in descending order.\nAnswer: 0, -1, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -2*l + 2*l - 6*l + 4*l. Let d(z) = 10*z + 0*z + 0*z - 9*z. What is d(p(b))?\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -49 + 121. Suppose -23*i + a = -19*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: What is the ten thousands digit of 24811344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mumumuummu. Give prob of sequence mu.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18*5\/(-20)*6120\/1377?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 + 6*n - 10. Let k be m(-7). Let j = k - -10. Is 194 - (-2 + j + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6636)\/18)\/(-7))\/(1868\/1401 + -2 + 0)?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -655, -2\/13, -0.022 in ascending order.\nAnswer: -655, -0.2, -2\/13, -0.022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54128?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j, 2*d = 4*j + 49 - 1. What is the greatest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1357556 != 1357438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/3 + 6*l.\nAnswer: -2*l*(l - 9)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -5*z + 55, 6*z - 40 = z - p. Let b(s) = -2*s**3 + 2*s**2 + 2*s. Let f(x) = 8*x**3 - 8*x**2 - 8*x. What is z*b(l) + 2*f(l)?\nAnswer: -2*l**3 + 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -40 - 0?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 387 = 137. Does 25 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (103\/(-206))\/((-1)\/(-12))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - t**2 + t - 11. Let p be m(0). Let h = -7 - p. Solve h*r = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24.66 - 0.06. Let f = m + -24.600000101. Round f to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*v = -625 + 233 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83368.\nAnswer: 2, 17, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -42 + 1904 + -1761.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 6 = 5*u, -2*u + 6 = -2*d - 0. Which is the closest to d? (a) -2 (b) 4 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (-46 - -113 - 79)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 4 (b) 217 (c) -0.1 (d) 785 (e) -1\/2 (f) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 54\/343 and 41\/98?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-14)\/4)\/7*-2. Suppose -w + 3 = b. Is 6\/w - 5 - -87 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -330 in 2.312, 2, -2, -2\/35?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 59 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6017 - -6155. Solve -143*o - r*o = -289*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3970622791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -1 - 7. Let w(z) be the first derivative of z**4\/4 - 2*z**3\/3 - 5*z**2\/2 + 6*z - 2. What are the prime factors of w(k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 12) + (29 - 13)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 - 217 = -11*c. What is the least common multiple of 35 and c?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5908.439 litres to millilitres.\nAnswer: 5908439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s - 172 = 48. Let m(l) = -l**2 + 18*l + 32. Let y be m(s). Is 2 a factor of (-72)\/18*(-10)\/y*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.15104 + 1.5507. Let k = 0.4 - w. Round k to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1078 and -67\/1540?\nAnswer: 10780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 8*b. Let y(u) = u. Let r(s) = -4*p(s) + 28*y(s). Let o(x) = -18*x. Calculate r(o(a)).\nAnswer: 72*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*v**2 + 3*v**4 + 0 + 1 + v + 6 - 10*v**3 - v**4 + 8*v**3 to b + w*v**4 + a*v + p*v**3 + y*v**2 and give y.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 2 (b) -4\/5 (c) 0.3 (d) 7327\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10634?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40714202 is divided by 3163?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -1. Let p = j + 1.05. Sort p, 2\/23, 0.4 in ascending order.\nAnswer: p, 2\/23, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**5\/15 - 19*w**4\/24 - 3*w**3\/2 + 8*w**2. Let i be j(-4). Factor -3\/2*g**3 + 3\/2*g - i + 3*g**2.\nAnswer: -3*(g - 2)*(g - 1)*(g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 16 + 7)*(2 - 5*g + 6 - 6).\nAnswer: 75*g - 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*r + 7. Which is the second biggest value? (a) r (b) -6 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/((x**(-7\/6)*x)\/x))\/(x**(-5\/3)\/x*x))\/((x*x\/x**(-7\/5))\/(x**(1\/6)\/x)) assuming x is positive.\nAnswer: x**(8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 5*p + 11. Let a(u) = -u - 2. Suppose 4*g - 5 = -21. Let x(q) = g*w(q) - 22*a(q). Suppose 355*z + 24 = 361*z. Give x(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 309, 315, 331, 363, 417, 499?\nAnswer: 615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -109 - -113. Solve 12 = w*l + 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 737 + 1655. Let j = -1224 + k. Determine i so that -24*i**5 + j*i**4 - 1172*i**4 + 4*i**2 - 4*i + 0*i**2 + 0*i + 28*i**3 = 0.\nAnswer: -1, -1\/2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t**2 - 29*t - 37. Let z be l(11). Find the second derivative of -1 + 158*s**2 - 188*s**2 - z*s + 2*s wrt s.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12012022102 (base 3) to base 10.\nAnswer: 102287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -226292, -5, 1, 2, -31, -3.\nAnswer: -226292, -31, -5, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 9:43 AM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000055677508 rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 26 = v + q, 2*q - 8 = 2*v. Sort -5, v, 0.\nAnswer: -5, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*g + 100*g - 60 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1110100011100011 (base 2) to base 10\nAnswer: 59619","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -199865902765?\nAnswer: -199865902763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1293330 - 6?\nAnswer: 1293324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 686, 3, 5, 7391, -1 in descending order.\nAnswer: 7391, 686, 5, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-6)\/(-4))\/((-6)\/8). Let v(g) = -2*g + 2. Let d(r) = -r. Let i(m) = 3*d(m) - v(m). Let l be i(0). Is l less than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*z + 0 = -52. Suppose -z*b + 0 = -8. What is the units digit of b\/13 - -1*(-1203)\/(-39)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 246.4378232 and -4017?\nAnswer: 4263.4378232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -17 - 3. Suppose -126*f = -130*f + n. Let s be (-1)\/(-2)*(0 - -2). Solve -3*m = 2*x - s + 3, f*x + 16 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2. Let i(a) = -a - 1. Let d(n) = n**2 + 3*n + 5. Let j(s) = d(s) + 3*i(s). Let m(w) be the first derivative of j(w). Give m(o(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -54900 + 54922.217. Let j = 25.24 - m. Let q = -0.023 + j. Which is the smallest value? (a) q (b) -12 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 - 18. Which is the smallest value? (a) i (b) -0.4 (c) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 549544, 5, -4, -14 in increasing order.\nAnswer: -14, -4, -1, 5, 549544","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604095.\nAnswer: 3, 5, 17, 23, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and 1.0641121.\nAnswer: 3.0641121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c - 3. Let v be u(-5). Suppose t - v = 43. Is 15 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -126*c**6 - 1239360*c**5 - 391614*c**2 + 1449*c wrt c.\nAnswer: -15120*c**3 - 74361600*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 592868?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 115752957 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-420)\/54*2196\/(-610).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -34*a**2 - a - 1. Let l be g(1). Let y = l - -31. Which is smaller: y or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-4*(sqrt(88) - -4*(sqrt(88) + sqrt(88)*-2)))\/(sqrt(72)\/(sqrt(9)*-2) + (sqrt(8) - sqrt(56)\/(sqrt(7)*1)))*3.\nAnswer: -72*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000090379226 rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**3 + 2*a**3 - 2*a**5)*(2 - 11 - 2).\nAnswer: 22*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n - 4241 - 669 + 0*n + n - 4*n as g + u*n and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 892.152 millimeters to micrometers.\nAnswer: 892152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 119 + -119.56. Let i = o + 0.5600049. What is i rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 23. Give p(-21).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -406623526 divided by 35722?\nAnswer: -11383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*m + 660 = -5*m. Suppose -7*u + 188 = m. Solve u*b + b + 36 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1003 - 1001. Suppose 2*i = 5*f - 71, 4*f + 4*i = -0*f + 40. Differentiate -12 + 8*l**2 - f*l**v + 11*l**2 wrt l.\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 349, 439, 577, 787, 1093, 1519?\n\"Answer: 4*x**3 + 62*x + 283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -251809 divided by 57\nAnswer: -251809\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 4 + 5 = 0. Let b be (4 - 2)\/((-3)\/27). Let s = 90 + b. What is the highest common factor of a and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1468323*o**3 + 3 - 734154*o**3 + 26*o - 734157*o**3.\nAnswer: 12*o**3 + 26*o + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -475964222 - -475964201.9999943. Let z = -2.5 + -17.5. Let f = z - o. What is f rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/9080 and -71\/32688?\nAnswer: 163440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 357.876 and -134?\nAnswer: 491.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15556?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2208 and 180228?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29 - 25. Suppose 4*b - 99 = -2*t + 355, -t - f*b = -221. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16214674.\nAnswer: 2, 7, 31, 37361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 + 4*y - 3. Let m be p(2). Let a = 1 + m. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)\/(sqrt(50)\/sqrt(5)) - sqrt(11)) + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 124.77 * 3\nAnswer: 374.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of (-2 + (-20)\/(-12))*-132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -128, -55, 28, 127, 248, 397?\n\"Answer: s**3 - s**2 + 69*s - 197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 1:03 PM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -7*y**2 - 5*y - 5. Let p(g) = -g**2 - g. Let w(v) = -j(v) - 2*p(v). Suppose 0 = -4*x + 20. Let q(r) = -14*r**2 - 11*r - 8. What is x*q(o) + 8*w(o)?\nAnswer: 2*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-10)\/8 + 1). Let o = 4.74 - -0.26. Which is the closest to -0.1? (a) -3 (b) l (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 31 + 4. Let i(g) = -2*g**2 - 2*g + 4. Let a(k) = 5 + 4*k**2 + 0*k - 6*k**2 - 2*k. Suppose 7*p + 30 = 2*p. Give j*a(y) + p*i(y).\nAnswer: 2*y**2 + 2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -5, -0.3, 2\/7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7798.\nAnswer: 2, 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = -2*c - 2, 3*y + 431 = -4*c. Let m = 142 + y. Let j(q) = -111*q**3 + 8*q**2 + 8*q - 4. Is j(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**3 - 15001*s + 11 + 15001*s.\nAnswer: -4*s**3 + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -233, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.8 - 3.2. Which is the nearest to -2\/7? (a) 0.2 (b) m (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3352*d - 6646*d + 3314*d.\nAnswer: 20*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*p - 531 + 471. Calculate the smallest common multiple of 200 and p.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*o**4 + 1009*o**3 + 32424*o wrt o?\nAnswer: 120*o**2 + 6054*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -61, 3, -1 in descending order.\nAnswer: 3, 2, -1, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z = -5*q - 3900 + 3887, 4*q = -4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 5 = -5*a, -3*a + 70*v - 73*v - 3 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*h + 0*h + 3*h**2 + (0 + 1 - 2)*(-2*h**2 + 4*h**2 - h**2).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2924169142*g + 5848338264*g - 2924169137*g.\nAnswer: -15*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**2 + 10*y - 9. Let r be f(-11). Find the third derivative of 21*x**r + 21*x**2 - 37*x**2 - 3*x**3 wrt x.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -8. Let i(x) = 8 - x + x**3 - 8*x**2 + 10*x**2 - 4*x - 3*x - 8*x**2. Determine i(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 16*z**2 - z - 13. Let s be o(-16). Suppose s*i = 6 - 0. Solve 0*p + 3*c = -p - 1, -i*c = -2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.1 - 12. Let z = -0.02 - q. Let w = z - -0.32. Which is the closest to 0? (a) w (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 24 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - 3. Let n = 808.9 + -809. Which is bigger: n or r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 PM and 1:28 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 11\/65, 0.2, 0.3, -1.7, -12?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -173\/4. Let o be (6\/(-30))\/(5\/(-325)). Let g be -5 - (-4 + o\/(-11)). Which is the smallest value? (a) w (b) g (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 times 55\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 + 2 + -3)\/2. Let n = 2.4 + -2. Let b be (6\/(-16))\/(27\/18). Sort a, b, n in descending order.\nAnswer: a, n, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4. Suppose b*a + 4*o + 12 = 0, 4*a - a + 7 = 5*o. What are the prime factors of a + 5 - (0 + -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b4 - -4?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6}. Give prob of sequence oo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 5 = 3*a, -3*a + 10 = -0*i - i. Suppose -s = a*s - 144. Find the third derivative of -5*h**5 + s*h + h**2 - 24*h wrt h.\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(13\/4)*w**(1\/17)*((w\/w**(-13))\/w)\/w**10 assuming w is positive.\nAnswer: w**(429\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -214486*m*o**2 + 1547690*m*o wrt o?\nAnswer: -428972*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 138 and 828.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 7*u**2 + 11*u + 5. Let w be y(-4). Let v(k) = 18*k - w*k - 13*k. Let p(b) = -b. What is v(p(j))?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*g - 2799 + 2815 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385 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: Is 490 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -14*a**2 - 19*a + 17. Let i(u) = -12*u**2 - 17*u + 18. Let w(j) = -6*i(j) + 5*m(j). What are the prime factors of w(-13)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -s + 1. Suppose -2*n + 18 = n. Let h be g(n). Let o = -27 + 27.3. Which is the closest to -2? (a) 2\/11 (b) h (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 3*k - 3*k + (-1 - 15 + 6)*(4 - 4 - 2*k))*(35 - 4*k - 35) to the form w*k + q + c*k**2 and give c.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00237061381 to 5 decimal places.\nAnswer: -0.00237","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u + 40*u + 443528 = 2*h, -2217712 = -10*h + 3*u. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 103 = -4*z, 0*y - 5*z + 125 = 5*y. Calculate the greatest common factor of y and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -104 - -108. Solve x - w = -0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104) + (-1*sqrt(104)*-2 - sqrt(104)) - (sqrt(104) - sqrt(104)*2 - sqrt(104))*-3)\/((sqrt(504)*1)\/((sqrt(126)\/sqrt(3))\/sqrt(6))).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -12 (c) -0.3 (d) 54 (e) 4\/3 (f) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 3253*g**2 + 75*g + 1081. Is q(-12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19761977 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 63 - 89. Let r be (30\/(-10))\/(4*(-15)\/(-80)). Is (-39)\/h + (-90)\/r a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -14, -68, -2\/5 in ascending order.\nAnswer: -68, -14, -2\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2613477219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3322 + 3314 = -g, 3*g - 9 = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85401?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -659 - 1a67?\nAnswer: -2504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 21*n**2 + 4*n - 43. What are the prime factors of g(-20)?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1678, 7101, 16200, 29023, 45618?\nAnswer: 66033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1565 + 1565. Let o(i) be the first derivative of 0*i**2 - 15 + 0*i**3 + w*i**4 - 6*i - 18\/5*i**5. Differentiate o(v) wrt v.\nAnswer: -72*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 84862?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2123, 2128, 2143, 2174, 2227, 2308, 2423?\nAnswer: 2578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 17\/40769630 and -43\/22237980.\nAnswer: 244617780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 113686896 to the power of 1\/2, to the nearest integer?\nAnswer: 10662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3687*c**3*p + 39585*c**2 + 125426194*p + 2 wrt c.\nAnswer: 11061*c**2*p + 79170*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 4*s**2 + 7*s + 4. Let u be ((-9)\/(-12))\/((-2)\/8) + 1. Let z be k(u). Let t(h) = -h**2 - 7*h - 5. Let x be t(-6). Put x, 0, z in decreasing order.\nAnswer: z, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.4124782 minutes to days.\nAnswer: 0.00584199875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0 - 3 - (-1 - -17)\/(-2). Let s(n) = 6*n + 1. Let u(z) = z. Let b(m) = h*u(m) - s(m). What is b(0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3290 by -681.\nAnswer: 3290\/681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 58*s = 35 - 93. Let f(d) = -d. Let o(k) = -8*k. Give s*o(r) + 24*f(r).\nAnswer: -16*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1681\/27 < -180?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*d**4 + 4*d**4 + 21 + 38801*d**6 - 3*d**2 - 37349*d**6 wrt d.\nAnswer: 174240*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165750626 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 - -2. Let n be 3\/(-2) + (-15)\/r. Let p = n - -18. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 4*t**2 + 108 - 52.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -230 - -161. Let b = f + 132. Is 36\/b + 4094\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54 and 231156.\nAnswer: 693468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 224*10\nAnswer: 2240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y + 5. Let l be u(4). Let t = -1446 - -1441. Put 1, t, l in ascending order.\nAnswer: t, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1915 divide 60569535?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - 5)\/((-4)\/16) - -22 - 195\/(-45)?\nAnswer: 43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 23. What are the prime factors of a(11)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8955961.\nAnswer: 7, 37, 151, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 47457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*x**2 - 3 + 39*x**2 + 38*x**2 + 40*x**2 - 22*x.\nAnswer: 67*x**2 - 22*x - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49281588 a multiple of 375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 24380 = -2*m - 5*x, 4*m - x - 19504 = 0. Suppose -22*c = -m - 3748. What is the hundreds digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6980, 49549, 165196, 390461, 761884, 1316005?\nAnswer: 2089364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2307.66 rounded to the nearest 100?\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 + 13*v**2 + v - 11. Calculate o(-13).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**1)**9*r\/r**(-7)*(r*(r*r**(-4))\/r)\/r)\/(r**(-3\/4)*r\/((r\/r**(5\/4))\/r)*(r**(2\/7))**(-1\/5)) assuming r is positive.\nAnswer: r**(1439\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v. Let i(h) = -2*h**2 + 4*h + 245. Calculate i(g(x)).\nAnswer: -2*x**2 + 4*x + 245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -36406*b**2 - 44*b - 9936659 with respect to b.\nAnswer: -72812*b - 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 174.9867 - 175. Let l = -0.0167 + x. Which is bigger: -33 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*b**2 + 17*b - 22 + 32 + 0*b + 2*b to i + x*b + p*b**2 and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -790357 minus 4?\nAnswer: -790361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*i**2 + 73*i - 54*i**3 - 73*i - 5 + 15 - 10.\nAnswer: -54*i**3 + 2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the third derivative of 0*h**6 + 0*h**5 - 1\/6*h**4 - 2*h**2 + 0 + 0*h**3 + 0*h**7 - 1\/112*h**8 + 0*h. Find the second derivative of z(w) wrt w.\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*y + 41 = -s, -4968 + 4988 = -3*y - 5*s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591164394.\nAnswer: 2, 3, 98527399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1371 divide 1499874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 873 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/108)\/(1\/(3\/4))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 124326379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 2*c + 308. Let x be s(0). Suppose -m + x = -5*m. Does 22 divide (30\/8)\/5*(3 - m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1919210 is divided by 2116.\nAnswer: 2114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 8*y + 5. Let f be v(7). What is the tens digit of (19\/(-4))\/(f\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54586*w**2 + 4*w - 4*w - 436542*w**2.\nAnswer: -491128*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -175*r**4 - r**2 - 285*r**3 - 178*r**4 + 345*r**4 + 1165*r**3 as s*r**2 + k*r**4 + f*r + v*r**3 + p and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1860*i**4 + 10*i**2 + 447224 wrt i?\nAnswer: 7440*i**3 + 20*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/108832 and 51\/18616.\nAnswer: 1414816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mfl when three letters picked without replacement from lmmf?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wx when two letters picked without replacement from {x: 1, w: 1, r: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -194241 (base 16) to base 8.\nAnswer: -6241101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(4\/92*-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 8\/16892159?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 + 4 + 0)*(7*q - 5 + 5) to the form g*q + y and give g.\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27301, -4, 5, -1, -10, -2.\nAnswer: -10, -4, -2, -1, 5, 27301","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 232 + -230. Is x\/(-22) + (-6471)\/(-33) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26, 79, 130, 179, 226, 271, 314?\n\"Answer: -y**2 + 56*y - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 3*z + 16 = 0, -2*r + 215 = -3*z + 193 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*v**3\/5 - 64*v**2 + 2028*v\/5 - 3096\/5 = 0. What is v?\nAnswer: -86, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 minus 1332625?\nAnswer: -1332620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.016203527 rounded to 4 decimal places?\nAnswer: -0.0162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-11)*v*v)\/(v**(8\/7)\/v))\/(v*v*v**9*v\/(v*v\/(v*v**(-11)))) assuming v is positive.\nAnswer: v**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - x - 85 = -21, 0 = -5*y - 2*x + 67. Let r be (y\/6)\/(3\/12). Solve 9 - r = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a = -12. Let x(q) = q**3 - 4*q**2 + 4*q - 1. Let u be x(a). Suppose -u*i = -28 - 12. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + (-57)\/12 + 56\/160. Let n(u) be the first derivative of -3\/25*u**5 + a*u + 3\/5*u**2 + 0*u**3 - 8 - 3\/10*u**4. Factor n(r).\nAnswer: -3*(r - 1)*(r + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 34\/6 - 2\/3. Suppose 4*n - 5*x = -n - 25, -2*n = 2*x - 10. Suppose c*y + n = 30. Calculate the remainder when 9 is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -11 + (0 - -2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xnxxnnnxnxnxixxixh. Give prob of picking 2 i and 1 x.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 10:12 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v. Let g(k) = 7 - 3*k**2 - 1 + 2*k**2 + 4. Let u be g(3). Let l(a) = -a - 1. Determine u*f(o) - l(o).\nAnswer: -o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13213 divided by -2\nAnswer: -13213\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1170.126448 rounded to the nearest 10?\nAnswer: -1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 156886 and 376?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/432570 and -31\/21?\nAnswer: 3027990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 4*m - 52 = 0, 0 = 5*i + 2*m - 100 + 4. Let y be (-4 - -1)\/3*i. Round y to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4167\/220 + -210\/11. Is d less than or equal to 0.09?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/15)*(v*v**(-1\/4))\/v)\/(((v*v**(2\/15)*v)\/v*v)\/(v**(-2\/23)\/v*v)) assuming v is positive.\nAnswer: v**(-3317\/1380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6361280 to the nearest integer?\nAnswer: 2522","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 233592977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 860005 is divided by 5810.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from xxxxxxgggxg.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -325 - -341. What is the highest common factor of 368 and o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**3 + 113*c + 74*c - 307*c + 120*c.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the second derivative of -2*l**3 + 0 + 152*l - 3*l**2 + 21\/40*l**5 + 1\/10*l**6 + 3\/8*l**4. Let r(p) = 0. Calculate p.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 64031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2652897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25775 is divided by 72?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 22453.7, 1?\nAnswer: 22453.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 12*n**3*x**2 + 550*n**3 + 102264*n + 19*x**2 + 41829*x with respect to x.\nAnswer: 24*n**3*x + 38*x + 41829","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4*(-5)\/(-64460))\/((-1)\/542). Let h = 4\/293 - q. Which is the smallest value? (a) 5 (b) 0.3 (c) h (d) -4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1120472000 to the nearest 1000000.\nAnswer: -1120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 267183 a multiple of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 96 and 34.\nAnswer: 1632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10536 and 21.\nAnswer: -221256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**2 - 12*k + 9. Let f be u(-9). Let g = 51 - f. Does 5 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3302*y**3 + 34042*y**3 + 0*y**2 + 5133*y**3 + y**2 - 4725*y**3.\nAnswer: 31148*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3 - -3) + 3 - 11. Let s be (4\/(-2))\/((-2)\/l). Let n be 6\/s*(-4)\/6. Which is the biggest value? (a) -3 (b) n (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 689252350?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 21.99 - -0.01. Let j = -18 + y. Which is the third biggest value? (a) j (b) -3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 297 and 7425?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j**3 + 3*j**2 + 4*j - 7. What is f(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 4*j**3 + 5*j**2 - 14*j + 1. Let g be p(6). Factor g*w**2 - 4 + 22*w + 8 + 102*w.\nAnswer: (31*w + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - (-4 - (31 + -24)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -120 - -32?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the second derivative of 4*h**3\/3 - 35*h. Let n(u) = 9*u**2. Determine n(t(s)).\nAnswer: 576*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*i - 6 - 6, 4*w - 28 = -3*i. Suppose -5*b + w*b = 18. Let k = b + 27. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.41 and 80080?\nAnswer: 32832.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*g - 2 = 0, 4*g + 4 = 3*y + 6. Let q be 10\/30 + 6002\/y. What is q rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7924 a factor of 517904716?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - -3*sqrt(77)*4)\/(-1*sqrt(1331) + sqrt(11)).\nAnswer: -13*sqrt(7)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -168*w**2 + 57*w**2 + 1 - 1 in the form o*w**2 + v + l*w and give o.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((6120\/34)\/(-30) - 74\/(-13))\/1\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/76 - 19\/(380\/575)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336.003km in micrometers?\nAnswer: 1336003000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89603072 divided by 87503.\nAnswer: -1024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12707 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60460742 - 91.9118.\nAnswer: -60460833.9118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 1 (c) 5 (d) -83\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1067*l + 1269*l - 10908 = 0 for l.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 322 + -37763?\nAnswer: -37441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 20 = 0, 10*d + 1450 = 3*t + 12*d. Calculate the common denominator of 12\/90 - 5404\/t and -2 - (-1 + (-230)\/124).\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 3*g + 3, 0 = 3*g - 5*u - 7 - 22 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 170935 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.2 + 0. Suppose -3*y + 5 = -4*f + 1, -16 = -4*y. Put x, f, -4 in decreasing order.\nAnswer: f, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 3) + -9 + 9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -174765.\nAnswer: -1\/174765","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 114367.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 10 and 298734?\nAnswer: 1493670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -29055371 (b) -0.2 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wgrfrrgwrwf. What is prob of picking 2 w, 1 f, and 1 g?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*w**3 + 39*w**3 - 18*w**3.\nAnswer: -2*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(-11 + 11 - 9*h) - 9 + 9 + 8*h.\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 79*t - 2966 = 74*t, 0 = -4*f + t + 2978. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-8)\/6)\/(4\/6). Let f = -5 - -14. Let b = f - 6. What is the smallest value in -0.4, k, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 7*y - 230. Let g = 1814 + -1799. Let d = g + y. Is d a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 - 6*c**2 - 22*c - 143. What is t(-8)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a century?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5\/8)\/(g\/g**(-4\/5)))\/(g\/g**(5\/3)*g*g**(-8)) assuming g is positive.\nAnswer: g**(629\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 3721*z**2 - 3 + 2927*z**3 - 3721*z**2 - 2926*z**3 + 2004*z in the form t*z**3 + s*z**2 + b + u*z and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*w + w. Let i(g) = 4 + 3*g - 8 - g - 5*g**2 + 3*g. Let c(k) = k**2 - k + 1. What is w*c(q) + i(q)?\nAnswer: -q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/10*(-3 + (15 - 7)). Suppose -2*r = 5*x + 19, -2*r + o*r + 12 = -3*x. What is the greatest common divisor of r and 24?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*k - 3*b - 70 = 0, -680*b - 15 = -4*k - 681*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 7, s: 1}. What is prob of picking 1 s and 2 x?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 + 10*l**2 + 14*l - 19. Let s be t(11). What is the greatest common divisor of 49 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**2 + 9077*s - 163710 = 0.\nAnswer: -9095, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -548 - -554. Solve 0 = -v - 4*q + 15, -z*q + q + 15 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 48\/(-5) + 33\/55 - -1. Let n = -4 - y. Suppose 0 = 3*c - 5*c + 8, n*o + 3*c - 32 = 0. Solve o*z + 27 = 3*w, 0 = -5*w - 3*z + 14 - 3 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21367 + 515288.\nAnswer: 493921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6, 7\/2, 4?\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-3) + 1299\/12. Let m = d - 108. Which is the third smallest value? (a) -3 (b) m (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-14 + 17 + -3 + 7) - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 36 and 492?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide 211311892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 60127 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(48) + sqrt(48) + 2)**2 - sqrt(48)) + 5 - (3*sqrt(6912) - sqrt(48))) + (-3 + (6*(sqrt(3) + sqrt(9)\/sqrt(3)) - (sqrt(3) - -4*sqrt(12))) + -2)**2.\nAnswer: -142*sqrt(3) + 253","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(121)*2 - sqrt(121)) + (-1*(sqrt(121)*-1 - sqrt(121)) - sqrt(121)) + sqrt(121))*3)\/(4*(sqrt(704) + sqrt(176)\/sqrt(4))).\nAnswer: 3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 114612899 to the power of 1\/2, to the nearest integer?\nAnswer: 10706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26638, -26616, -26608, -26620, -26658?\nAnswer: -26728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*h**3 - 19*h**2 + 19*h**2)*(16 - 2 - 4) to the form q + s*h**2 + d*h**3 + p*h and give d.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2*q - 4)*(17784*q + 3 - 18357*q - 2).\nAnswer: -1146*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qnnknnnnn. Give prob of picking 1 q and 1 n.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13.2 + 12.2. Let s = 2812 - 2812.22. Put s, t, 2 in decreasing order.\nAnswer: 2, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9, -24 in decreasing order.\nAnswer: 0, -9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 2*y**3\/3 - 11*y**2 - 17*y - 12. What is the remainder when 17 is divided by c(12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250 a factor of 3230750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -179 - -156. Let n = 927 + -931. Sort n, 0, c in ascending order.\nAnswer: c, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(154))\/sqrt(7) + sqrt(22))\/sqrt(2).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.046 rounded to 1 dp?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 80 = 3*b, 1008*t - 12 = 1005*t - b for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2244, 2291, 2324, 2337, 2324?\nAnswer: 2279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 17*l**2 + l + 64. Let s(x) = -10*x**2 - 61. What is 3*s(o) + 2*w(o)?\nAnswer: 4*o**2 + 2*o - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 125*m + 85. Let l(s) = -9*s - 6. Calculate 6*a(f) + 85*l(f).\nAnswer: -15*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1 (b) 5682 (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/3 and -29\/15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 5}. What is prob of sequence bb?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 30 + -25. Suppose -5*f + u*j = 95, -f + 2*f + j + 25 = 0. Is f\/99 - 562\/(-18) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 31031 and 187?\nAnswer: 527527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 0 - (-73 + 78)) + 1 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/68 - 253\/(-1173). Let j(k) be the third derivative of 0*k**4 + 0 + 0*k**3 + r*k**5 + 0*k - 5*k**2. Let s(x) = 2*x. Give j(s(u)).\nAnswer: 80*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 - 4*d + 1. Let o be p(-3). Suppose -o*a + 4*j = 20 + 4, -3*a + 2*j = 16. Let g be ((-2)\/a)\/((-1)\/(-4)). Solve 2 = -2*m - g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -88, 5, -666, -5, -41 in ascending order.\nAnswer: -666, -88, -41, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a + 2 + 4 + 0 - 5 + 7*a**2. Let j be s(1). Suppose 5*d = j*n - 240, 12 = -5*d + 37. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46787 + -13.\nAnswer: -46800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.91054 to one decimal place.\nAnswer: -6.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 95*m**3 - 70*m**3 + m - 3 - 8*m.\nAnswer: -165*m**3 - 6*m - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 74 in -3, -2\/9, 5, -28?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*n - n. Let v(k) = -k**2 + n*k - 11 + 0*k + 2*k**3 + 4*k**3. Let q = -18 + 7. Let y(u) = u**3 - 2. Give q*y(h) + 2*v(h).\nAnswer: h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -53588*o**3 + 204*o + 866016131?\nAnswer: -160764*o**2 + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 4*r - 2, 2*r - 4*c - 5 = c. Suppose -4*n = -r*n. Sort n, 3, 1 in descending order.\nAnswer: 3, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 60, 5991, -5\/3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, -3, -0.2, 509, 2?\nAnswer: 509","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92 + g + 14 - 33*g**3 - 131*g**3 - 23.\nAnswer: -164*g**3 + g - 101","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**5\/15 + 2*k**2 - 806*k. Let j(y) = -132*y. Calculate j(f(c)).\nAnswer: 528*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 267939941\nAnswer: -1\/267939941","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4871?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79*z**3 + z**2 + 106*z.\nAnswer: 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1113 is divided by 71.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -1347*a**3 + a**2 + 3. Let v be o(-2). Let z = -4326 + v. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20.55 - 21. Let a = 0.308 + -0.158. Let b = p + a. Which is smaller: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -502, 0, -4, -2, 3 in increasing order.\nAnswer: -502, -17, -4, -2, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 85276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 441*c - 24750 = 60*c + 51*c for c.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2497\/2191 - 1\/313. Let k be 2\/10*12\/(-6). Which is the third biggest value? (a) 0 (b) k (c) o (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(6))**2*-6 + (sqrt(275) + sqrt(11))*-6.\nAnswer: -36*sqrt(11) - 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 132.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -3*f. Give s(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1088*b**2 + 14140*b + 53. What is m(13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 3*a - 3. Let t be n(-4). Let w = t + 16. Let b = 24 - w. Does 4 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 37\/5 of a centimeter?\nAnswer: 74000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.08372 * 309\nAnswer: -25.86948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36.1 - -36. Which is the closest to 0.3? (a) 0.2 (b) y (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 330, -6, 4, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 17028 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 166759 and 296.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6983.1*-4.\nAnswer: -27932.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + 5 + 25 - -1 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510010 is divided by 509966?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1500 is divided by 108?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -25, 2*p + 49*g = 53*g + 34. Solve -p*k = -6*k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303513.\nAnswer: 3, 7, 97, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r**2\/7 + 36080*r\/7 + 325441600\/7 = 0. Calculate r.\nAnswer: -18040","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**2 - i + 1. Let q(o) = -6*o**2 - 2*o + 12. Let h(x) = -q(x) + 8*v(x). Factor h(d).\nAnswer: -2*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5\/12)*w**29)\/((w\/(w**11*w))\/w)**(-11))**(-3\/11) assuming w is positive.\nAnswer: w**(1241\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41.76 + -0.76. Let o = h - 41.95. Round o to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {q: 7, r: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - 17)*(-8)\/5. Let w be g\/12*69\/2. Let z = -13 + w. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 7757 + 959 = 0. Suppose -1327 = -5*u + f. List the prime factors of u.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v - 5*v + 15. Let d be ((-4)\/5)\/(3984\/(-18260)) - (-12)\/9. Solve -5*b + 2*z - v = 6, -d*z = -b + 12 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -238 - 2 = -40*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -29, -119, -0.5, 4, -5\/4.\nAnswer: -119, -29, -5\/4, -0.5, -0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 11767 + 11763 + 25*y**2 + 25*y - 23509 + y**3. What is h(-24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1136, 979, 822, 665?\nAnswer: 508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 49 - 91 = 11*v - 68, 0 = 3*v + 3*m - 30 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 273.7724*-0.06.\nAnswer: -16.426344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 671 and 61.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, -3, -9 in decreasing order.\nAnswer: 3, -1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98)*2*-6.\nAnswer: -84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1673 and 3596341?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -113663095 divided by 2?\nAnswer: -113663095\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 12*b + 2)*(-b - b + 3*b) + (4 - 3 + 1)*(-8*b**2 + b**2 - 12*b**2).\nAnswer: -50*b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d**4\/3 - 16015*d**3\/3 - 20642951*d**2 + 17691329215*d\/3 - 17629384346\/3 = 0.\nAnswer: -8141, 1, 266","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -4*r - 1. Let w be (-4)\/8*(-1 + 3). Let i be a(w). Suppose -60 - 12 = i*o + 5*k, 2*k = 2*o + 32. What is o rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -148059\/20 - -7399. Calculate the common denominator of b and -101\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c - 3*c - c + (c - 4 + 4)*(2 + 0 + 0) + 2*c + 2*c - 3*c - 83 + 83 + 2*c.\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add 133 and 0.169.\nAnswer: 133.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -h**3 - h**2 - h - 1. Let i be a(-1). Let n be 18\/(-6) + (-93)\/(-33). Which is smaller: i or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 36, -1, -2.\nAnswer: -2, -1, 0, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 4*y**2 - 1. Let s be f(-1). Solve -5*p + s*p = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of i**5\/70 + i**4\/14 + i**3\/7 + i**2\/7 + 10*i. Let h(y) = 0. What is y?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - l + 1 = 0, -5*x + 5 = 5*l - 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*n = 534 - 612 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 23*c**2 - 24*c + 26. Suppose -50*r + 874 = -226. Determine k(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -58910, -117117, -175324, -233531, -291738?\n\"Answer: -58207*c - 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 74*h + 26 - 322 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48503706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20463984043 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 - 2739849637?\nAnswer: -2739849772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -17 - (4 + 6 + -11)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 0 - 4. Let u = 323.3 - 326.3. What is the nearest to 2 in u, 0.4, b?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r + 16 = -9*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2422.143 and -177.\nAnswer: -428719.311","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 992 + 58 = 0. List the prime factors of k.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18332021 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 4*p**2 + 6. Suppose 0*z + 10 = -5*z. Let o(s) = s**2 + 1. Determine z*o(w) + t(w).\nAnswer: 2*w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.7895 - -11.564?\nAnswer: 246.3535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 AM and 8:25 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4432346559?\nAnswer: 3, 61, 8073491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4769 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -13 + 2 + -2 + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 40250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/q**6)**(-21) assuming q is positive.\nAnswer: q**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**3 - 82*o**2 - 4552*o - 8760 = 0. What is o?\nAnswer: -30, -2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 18812924 and 94064614\/5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 6*m - 19*m + 10*m + 51 as q*m + l and give l.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3314*h + 31365 = 1975*h + 2104*h for h.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 16 (b) -62 (c) -0.09 (d) -0.1 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11, 3, -7, -19, -33?\n\"Answer: -x**2 - 5*x + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5860*-0.12\nAnswer: 703.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(120) + 4*sqrt(120))\/sqrt(12) - sqrt(10))\/sqrt(80))**2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c - 11. Let q be k(8). Let r = q - -3. Let d(m) be the third derivative of -m**5\/60 - m**4\/24 - m**3\/2 - 2*m**2. What is d(r)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4 - 52844835*f**3 + 158534475*f**2 - 158534465*f + 52844820 = 0. What is f?\nAnswer: 1, 10568964","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 212824?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*d + 6 = 2*l + 16*d, l = -5*d + 9 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 46*f + 1428. What is c(-36)?\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, 28, 90, 204, 388?\nAnswer: 660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 z when two letters picked without replacement from aamammaaazmaamaamm.\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 130\/4*32\/40. Let b = o + 50. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4951, 7933, 10915, 13897?\nAnswer: 16879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/145 (b) 33 (c) -13793 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from gaagbbgaggbb.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -24*b**4 + 5*b**2 - 295*b.\nAnswer: -288*b**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**1))**(-8\/13))**(-1\/31)\/((b*b**(-2\/25)*b)\/b**(-1\/8)*b*b*b**2*b*b**(-4\/5)) assuming b is positive.\nAnswer: b**(-504947\/80600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in eleven sevenths of a week?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 161, 506, 1085, 1904, 2969, 4286?\n\"Answer: v**3 + 111*v**2 + 5*v + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2602 - -7654. Is l a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -500, -1936, -4342, -7712, -12040, -17320?\nAnswer: -23546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45 - 23. Let j = m + -7. What is the remainder when 44 is divided by j?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 8:23 AM?\nAnswer: 11:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(4*w + 3*w - 5*w) + 2*w + 0 + 0 + 2 + 9*w - 2.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 325 divided by -5?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -91 - 20. Let x = 116 + l. Suppose 4*p = x*v - 0*p - 140, -5*p = -25. Does 32 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 13*o - 1. Let c(p) = -13*p + 1. Let y(g) = 42*g**2 + 4*g + 4. Let z be y(0). Determine z*c(t) + 5*w(t).\nAnswer: 13*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.209? (a) -1\/8 (b) -4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 - (-63 + (-3 - -2)). Suppose -a = 4*g - 198. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 101062, 202244, 303544, 404962, 506498, 608152?\nAnswer: 709924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n + 5. Let o be s(3). Solve -1 = i - o for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/2))**14*t\/((t*t**5*t)\/t)*(t**(2\/7)*t)\/t)\/(t**6\/(t\/(t**5*t))*(t**(1\/3))**(1\/13)) assuming t is positive.\nAnswer: t**(-2386\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 258 + -215. Calculate the remainder when z is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1133144401040 + 3?\nAnswer: 1133144401043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/15)\/(27\/(-30)))\/(73*(-308)\/(-4818))?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/5)\/((-5)\/(-25)). Let a(c) = -5 + c + c**2 - 4 + v. Is a(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 287000 + -19?\nAnswer: 286981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -6\/13 (b) -2\/11 (c) 1 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*f + 5*f - 12*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -29*t + 91. Let s be j(3). Suppose -s*n - 16 = -6*n - 5*q, 2*n - q - 4 = 0. Solve 5 = -n*o + 2*a - 4, 3 = 3*o + 2*a for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -30*f + 5. Let r(q) = 14*q - 2. Let g(n) = 4*j(n) + 10*r(n). Give g(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6638 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 820 and 22673?\nAnswer: 453460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/(-5)*30\/420*35.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5285 rounded to one dp?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.14 to zero decimal places.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1415 and -5796.08?\nAnswer: 7211.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -4, -9, 9, -1192 in ascending order.\nAnswer: -1192, -9, -4, -2, -1, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 y when two letters picked without replacement from {a: 3, c: 1, y: 9, r: 2, h: 3}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-18)\/(-7 + 8 + -1 + -1). Calculate the highest common divisor of d and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2530 is divided by 626.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -2457000 to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59a (base 11) to base 15.\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2 + 0.3. Let n be (-9)\/(-15) + (-39)\/90. Put -0.4, b, n in decreasing order.\nAnswer: n, b, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3))**(2\/5)\/((m*m\/m**(-1\/2)*m)\/m**(-6\/11)))**27 assuming m is positive.\nAnswer: m**(-11223\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -38c2 (base 14) to base 16\nAnswer: -26f2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5.3 - -5. Let r = 0.05 - -4.95. Which is the second smallest value? (a) 3 (b) i (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5.5 + -2.8. Let p = -17.7 + l. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 7. Let j = g + 7. List the prime factors of j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*g**5 + 14913141*g**2*y**3 + 57*g*y**3 - 4261*g*y - 89*y**3 wrt g.\nAnswer: 380*g**3 + 29826282*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3\/7 - 431426*u**2\/7 + 23226090942*u\/7 + 4311605042370\/7.\nAnswer: 2*(u - 107949)**2*(u + 185)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 1 = -3. Let w = h + 3. Suppose 2*s - 12 = -w*p, 4*s - 2 + 5 = 5*p. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 39222 is divided by 13074.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/51968 and 111\/12992.\nAnswer: 51968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**3 - 12*a**2 + a - 29. Give k(12).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/3*(-54)\/10*(-745)\/6. Are o and -4469\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 - 7*x + 7. Let c be w(-7). Let h = 65 + c. Calculate the highest common factor of h and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w**(-11)\/w)\/w)*w**(5\/2) assuming w is positive.\nAnswer: w**(33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 5, -1\/3, -565, -0.04?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -1571 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - 4*1625\/(-468)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1, -24, 4, 38, 5, 2 in descending order.\nAnswer: 38, 5, 4, 2, 1, -9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7094979 to the power of 1\/3, to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 3*h - 9 + 6 = 0, -5*h + 4 = 4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1424 + 1419. Let y = -0.57 - -0.31. Put 0.3, f, y in ascending order.\nAnswer: f, y, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17636 + -17555. What is the highest common divisor of 5697 and h?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4428 - 529. List the prime factors of x.\nAnswer: 7, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*r + 6491 - 6491 as d*r + y and give d.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 63 + (2694 - 2728)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 6:18 AM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.3, -1, -15.343, 0.1, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2017 or 4064?\nAnswer: 4064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 14447 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: Suppose 27*l = 24*l + 311925. Suppose 67796 = 2*k + a + 15801, -4*k = 5*a - l. What is k rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 14*o**2 + 12*o + 17. Is t(-16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 7*r - 5*u = -3453, -4*r - u = -4587. Suppose 201 = -5*m + r. What is the highest common divisor of 27 and m?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3389644397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -878*m**3*p - 4*m**2*p - 65*m**2 + m*p wrt m?\nAnswer: -5268*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abaa when four letters picked without replacement from {r: 2, a: 9, e: 3, b: 5}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3120 divided by 834.\nAnswer: -520\/139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -64738.942 times -0.5\nAnswer: 32369.471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of r**6\/30 + r**5\/4 - 13*r**4\/4 - 3*r**3\/2 + 81*r**2 + 37*r - 32. Suppose t(w) = 0. Calculate w.\nAnswer: -9, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 858752820 to the nearest integer?\nAnswer: 29304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/5)*u)**(-26)\/((u*u\/(u*((u\/u**(-8)*u*u)\/u)\/u))\/u*u*u**(-3\/2)) assuming u is positive.\nAnswer: u**(-113\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55479679 is divided by 470?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/12 - (-5)\/(-1440)*2127. Let r = 1339\/160 + y. Calculate the common denominator of r and 29\/34.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 97800 or 97801?\nAnswer: 97800","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294177 is divided by 931.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 184627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l - 3. Let n be r(-4). Let s(z) = 7 - z + 8 - n. Let i be s(10). Which is the biggest value? (a) 0.1 (b) 5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 20. Solve -2*u + a = -4*t - 0, 3*u + 2*t + 6 = 0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2700000 to the nearest 100000.\nAnswer: 2700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/8 + 6\/4. Solve -j = t - 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25 - -24.8. Which is the closest to 3\/2? (a) 3 (b) 2\/13 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 549251837?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-35*h**3 - 56*h**3 - 284*h**3)*(3*h + 2*h - 4*h) - 2*h**4 + 0*h + 0*h + 4*h**4 - 5*h**4 - h**4.\nAnswer: -379*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 0 = 20. Let r = -0.11 + -1.89. What is the smallest value in 0.07, y, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17319 - 17320.7618. What is k rounded to two decimal places?\nAnswer: -1.76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -1*(1 + sqrt(300)) + 5)**2.\nAnswer: -160*sqrt(3) + 364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/2548 and 15\/256438?\nAnswer: 3590132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l**2 - 2*l**2 + 0*l**2. Let m be h(0). Suppose 3*r + 3*i = 12, -r - 2*i + 2 = -m*i. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2218*k - 906*k = -1312 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 102030277 and 1173.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -75948 divided by 59\nAnswer: -75948\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}